%   ORIGINAL: h4/marker/move__right__disj_c0
% Assm: HL_TRUTH: T
% Assm: HL_FALSITY: ~F
% Assm: HL_BOOL_CASES: !t. (t <=> T) \/ (t <=> F)
% Assm: HL_EXT: !f g. (!x. f x = g x) ==> f = g
% Assm: h4/bool/AND__CLAUSES_c0: !t. T /\ t <=> t
% Assm: h4/bool/REFL__CLAUSE: !x. x = x <=> T
% Assm: h4/bool/EQ__SYM__EQ: !y x. x = y <=> y = x
% Assm: h4/bool/DISJ__ASSOC: !C B A. A \/ B \/ C <=> (A \/ B) \/ C
% Assm: h4/bool/DISJ__COMM: !B A. A \/ B <=> B \/ A
% Assm: h4/marker/stmarker__def: !x. h4/marker/stmarker x = x
% Goal: !p m. h4/marker/stmarker m \/ p <=> p \/ h4/marker/stmarker m
%   PROCESSED
% Assm [HLu_TRUTH]: T
% Assm [HLu_FALSITY]: ~F
% Assm [HLu_BOOLu_CASES]: !t. (t <=> T) \/ (t <=> F)
% Assm [HLu_EXT]: !f g. (!x. happ f x = happ g x) ==> f = g
% Assm [h4s_bools_ANDu_u_CLAUSESu_c0]: !t. T /\ t <=> t
% Assm [h4s_bools_REFLu_u_CLAUSE]: !x. x = x <=> T
% Assm [h4s_bools_EQu_u_SYMu_u_EQ]: !y x. x = y <=> y = x
% Assm [h4s_bools_DISJu_u_ASSOC]: !C B A. A \/ B \/ C <=> (A \/ B) \/ C
% Assm [h4s_bools_DISJu_u_COMM]: !B A. A \/ B <=> B \/ A
% Assm [h4s_markers_stmarkeru_u_def]: !x. h4/marker/stmarker x = x
% Goal: !p m. h4/marker/stmarker m \/ p <=> p \/ h4/marker/stmarker m
fof(aHLu_TRUTH, axiom, p(s(t_bool,t))).
fof(aHLu_FALSITY, axiom, ~ (p(s(t_bool,f)))).
fof(aHLu_BOOLu_CASES, axiom, ![V_t]: (s(t_bool,V_t) = s(t_bool,t) | s(t_bool,V_t) = s(t_bool,f))).
fof(aHLu_EXT, axiom, ![TV_Q233965,TV_Q233961]: ![V_f, V_g]: (![V_x]: s(TV_Q233961,happ(s(t_fun(TV_Q233965,TV_Q233961),V_f),s(TV_Q233965,V_x))) = s(TV_Q233961,happ(s(t_fun(TV_Q233965,TV_Q233961),V_g),s(TV_Q233965,V_x))) => s(t_fun(TV_Q233965,TV_Q233961),V_f) = s(t_fun(TV_Q233965,TV_Q233961),V_g))).
fof(ah4s_bools_ANDu_u_CLAUSESu_c0, axiom, ![V_t]: ((p(s(t_bool,t)) & p(s(t_bool,V_t))) <=> p(s(t_bool,V_t)))).
fof(ah4s_bools_REFLu_u_CLAUSE, axiom, ![TV_u_27a]: ![V_x]: (s(TV_u_27a,V_x) = s(TV_u_27a,V_x) <=> p(s(t_bool,t)))).
fof(ah4s_bools_EQu_u_SYMu_u_EQ, axiom, ![TV_u_27a]: ![V_y, V_x]: (s(TV_u_27a,V_x) = s(TV_u_27a,V_y) <=> s(TV_u_27a,V_y) = s(TV_u_27a,V_x))).
fof(ah4s_bools_DISJu_u_ASSOC, axiom, ![V_C, V_B, V_A]: ((p(s(t_bool,V_A)) | (p(s(t_bool,V_B)) | p(s(t_bool,V_C)))) <=> ((p(s(t_bool,V_A)) | p(s(t_bool,V_B))) | p(s(t_bool,V_C))))).
fof(ah4s_bools_DISJu_u_COMM, axiom, ![V_B, V_A]: ((p(s(t_bool,V_A)) | p(s(t_bool,V_B))) <=> (p(s(t_bool,V_B)) | p(s(t_bool,V_A))))).
fof(ah4s_markers_stmarkeru_u_def, axiom, ![TV_u_27a]: ![V_x]: s(TV_u_27a,h4s_markers_stmarker(s(TV_u_27a,V_x))) = s(TV_u_27a,V_x)).
fof(ch4s_markers_moveu_u_rightu_u_disju_c0, conjecture, ![V_p, V_m]: ((p(s(t_bool,h4s_markers_stmarker(s(t_bool,V_m)))) | p(s(t_bool,V_p))) <=> (p(s(t_bool,V_p)) | p(s(t_bool,h4s_markers_stmarker(s(t_bool,V_m))))))).
