%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL442-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:10:05 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL442-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 00:35:16 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,negated_conjecture,(
% 0.14/0.38 ( c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a) ) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,negated_conjecture,(
% 0.14/0.38 ( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))| c_PropLog_Oeval(v_tt,v_pl1,t_a) ) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,negated_conjecture,(
% 0.14/0.38 ( c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))| ~ c_PropLog_Oeval(v_tt,v_pl2,t_a) ) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f4,negated_conjecture,(
% 0.14/0.38 ( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))| c_PropLog_Oeval(v_tt,v_pl2,t_a) ) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f5,negated_conjecture,(
% 0.14/0.38 ( c_PropLog_Oeval(v_tt,v_pl1,t_a)| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f6,negated_conjecture,(
% 0.14/0.38 ( ~ c_PropLog_Oeval(v_tt,v_pl2,t_a)| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f7,negated_conjecture,(
% 0.14/0.38 ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))| c_PropLog_Oeval(v_tt,v_pl2,t_a)| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a) ) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f8,axiom,(
% 0.14/0.38 (![V_p,T_a,V_H,V_q]: (( ~ c_in(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Ofalse,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))| c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f9,axiom,(
% 0.14/0.38 (![V_p,V_H,T_a,V_q]: (( ~ c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))| ~ c_in(c_PropLog_Opl_Oop_A_N_62(V_q,c_PropLog_Opl_Ofalse,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Opl_Ofalse,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f10,axiom,(
% 0.14/0.38 (![V_p,V_G,T_a,V_B]: (( ~ c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a))| c_in(V_p,c_PropLog_Othms(c_union(V_G,V_B,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f11,axiom,(
% 0.14/0.38 (![V_p,V_G,T_a,V_A]: (( ~ c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a))| c_in(V_p,c_PropLog_Othms(c_union(V_A,V_G,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f12,axiom,(
% 0.14/0.38 (![V_q,V_H,T_a,V_p]: (( ~ c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))| c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f13,plain,(
% 0.14/0.38 c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|~c_PropLog_Oeval(v_tt,v_pl1,t_a)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.38 fof(f14,plain,(
% 0.14/0.38 c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|c_PropLog_Oeval(v_tt,v_pl1,t_a)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.38 fof(f15,plain,(
% 0.14/0.38 c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|~c_PropLog_Oeval(v_tt,v_pl2,t_a)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.38 fof(f16,plain,(
% 0.14/0.38 c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|c_PropLog_Oeval(v_tt,v_pl2,t_a)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.38 fof(f17,plain,(
% 0.14/0.38 c_PropLog_Oeval(v_tt,v_pl1,t_a)|~c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.38 fof(f18,plain,(
% 0.14/0.38 ~c_PropLog_Oeval(v_tt,v_pl2,t_a)|~c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.38 fof(f19,plain,(
% 0.14/0.38 ~c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|c_PropLog_Oeval(v_tt,v_pl2,t_a)|~c_PropLog_Oeval(v_tt,v_pl1,t_a)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.38 fof(f20,plain,(
% 0.14/0.38 ![V_p,T_a,V_H]: (~c_in(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Ofalse,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))|(![V_q]: c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f8])).
% 0.14/0.38 fof(f21,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))|c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.38 fof(f22,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))|~c_in(c_PropLog_Opl_Oop_A_N_62(X3,c_PropLog_Opl_Ofalse,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))|c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),c_PropLog_Opl_Ofalse,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.38 fof(f23,plain,(
% 0.14/0.38 ![V_p,V_G,T_a]: (~c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a))|(![V_B]: c_in(V_p,c_PropLog_Othms(c_union(V_G,V_B,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f10])).
% 0.14/0.38 fof(f24,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))|c_in(X0,c_PropLog_Othms(c_union(X1,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.38 fof(f25,plain,(
% 0.14/0.38 ![V_p,V_G,T_a]: (~c_in(V_p,c_PropLog_Othms(V_G,T_a),tc_PropLog_Opl(T_a))|(![V_A]: c_in(V_p,c_PropLog_Othms(c_union(V_A,V_G,tc_PropLog_Opl(T_a)),T_a),tc_PropLog_Opl(T_a))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f11])).
% 0.14/0.38 fof(f26,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))|c_in(X0,c_PropLog_Othms(c_union(X3,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.38 fof(f27,plain,(
% 0.14/0.38 ![V_q,V_H,T_a]: (~c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))|(![V_p]: c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f12])).
% 0.14/0.38 fof(f28,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))|c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.38 fof(f29,definition,(
% 0.14/0.38 sQ0_spl <=> (c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f30,plain,(
% 0.14/0.38 c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|~sQ0_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f29])).
% 0.14/0.38 fof(f32,definition,(
% 0.14/0.38 sQ1_spl <=> (c_PropLog_Oeval(v_tt,v_pl1,t_a))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f35,plain,(
% 0.14/0.38 sQ0_spl|~sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f13,f29,f32])).
% 0.14/0.38 fof(f36,definition,(
% 0.14/0.38 sQ2_spl <=> (c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f37,plain,(
% 0.14/0.38 c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|~sQ2_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f36])).
% 0.14/0.38 fof(f39,plain,(
% 0.14/0.38 sQ2_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f14,f36,f32])).
% 0.14/0.38 fof(f40,definition,(
% 0.14/0.38 sQ3_spl <=> (c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f41,plain,(
% 0.14/0.38 c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|~sQ3_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f40])).
% 0.14/0.38 fof(f43,definition,(
% 0.14/0.38 sQ4_spl <=> (c_PropLog_Oeval(v_tt,v_pl2,t_a))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f46,plain,(
% 0.14/0.38 sQ3_spl|~sQ4_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f15,f40,f43])).
% 0.14/0.38 fof(f47,definition,(
% 0.14/0.38 sQ5_spl <=> (c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f48,plain,(
% 0.14/0.38 c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|~sQ5_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f47])).
% 0.14/0.38 fof(f50,plain,(
% 0.14/0.38 sQ5_spl|sQ4_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f16,f47,f43])).
% 0.14/0.38 fof(f51,definition,(
% 0.14/0.38 sQ6_spl <=> (c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f53,plain,(
% 0.14/0.38 ~c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|sQ6_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f51])).
% 0.14/0.38 fof(f54,plain,(
% 0.14/0.38 sQ1_spl|~sQ6_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f17,f32,f51])).
% 0.14/0.38 fof(f55,plain,(
% 0.14/0.38 ~sQ4_spl|~sQ6_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f18,f43,f51])).
% 0.14/0.38 fof(f56,definition,(
% 0.14/0.38 sQ7_spl <=> (c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f58,plain,(
% 0.14/0.38 ~c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|sQ7_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f56])).
% 0.14/0.38 fof(f59,plain,(
% 0.14/0.38 ~sQ7_spl|sQ4_spl|~sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f19,f56,f43,f32])).
% 0.14/0.38 fof(f61,plain,(
% 0.14/0.38 ~c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|sQ6_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f24,f53])).
% 0.14/0.38 fof(f62,plain,(
% 0.14/0.38 ~c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|sQ6_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f26,f53])).
% 0.14/0.38 fof(f64,plain,(
% 0.14/0.38 ~c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|sQ6_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f21,f61])).
% 0.14/0.39 fof(f66,plain,(
% 0.14/0.39 $false|~sQ2_spl|sQ6_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f64,f37])).
% 0.14/0.39 fof(f67,plain,(
% 0.14/0.39 ~sQ2_spl|sQ6_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f66])).
% 0.14/0.39 fof(f68,plain,(
% 0.14/0.39 ~c_in(v_pl1,c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|~c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|sQ7_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f58,f22])).
% 0.14/0.39 fof(f73,definition,(
% 0.14/0.39 sQ8_spl <=> (c_in(v_pl1,c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f75,plain,(
% 0.14/0.39 ~c_in(v_pl1,c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|sQ8_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.39 fof(f76,definition,(
% 0.14/0.39 sQ9_spl <=> (c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f78,plain,(
% 0.14/0.39 ~c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))|sQ9_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f76])).
% 0.14/0.39 fof(f79,plain,(
% 0.14/0.39 ~sQ8_spl|~sQ9_spl|sQ7_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f68,f73,f76,f56])).
% 0.14/0.39 fof(f81,plain,(
% 0.14/0.39 ~c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|sQ6_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f62,f28])).
% 0.14/0.39 fof(f82,plain,(
% 0.14/0.39 $false|~sQ3_spl|sQ6_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f81,f41])).
% 0.14/0.39 fof(f83,plain,(
% 0.14/0.39 ~sQ3_spl|sQ6_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f82])).
% 0.14/0.39 fof(f105,plain,(
% 0.14/0.39 ~c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|sQ8_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f75,f24])).
% 0.14/0.39 fof(f106,plain,(
% 0.14/0.39 $false|~sQ0_spl|sQ8_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f105,f30])).
% 0.14/0.39 fof(f107,plain,(
% 0.14/0.39 ~sQ0_spl|sQ8_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f106])).
% 0.14/0.39 fof(f110,plain,(
% 0.14/0.39 ~c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))|sQ9_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f78,f26])).
% 0.14/0.39 fof(f112,plain,(
% 0.14/0.39 $false|~sQ5_spl|sQ9_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f110,f48])).
% 0.14/0.39 fof(f113,plain,(
% 0.14/0.39 ~sQ5_spl|sQ9_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f112])).
% 0.14/0.39 fof(f114,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f35,f39,f46,f50,f54,f55,f59,f67,f79,f83,f107,f113])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.038010 seconds
% 0.14/0.41 % CPU time: 0.107313 seconds
% 0.14/0.41 % Total memory used: 17.747 MB
% 0.14/0.41 % Net memory used: 17.354 MB
%------------------------------------------------------------------------------