%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL442-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 : Fri Sep 25 02:06:39 PM UTC 2026
% Result : Unsatisfiable 0.56s 1.37s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 23
% Syntax : Number of formulae : 87 ( 22 unt; 11 def)
% Number of atoms : 365 ( 11 equ)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 146 ( 70 ~; 76 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 12 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 84 ( 0 sgn 84 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ c_PropLog_Oeval(v_tt,v_pl1,t_a)
| c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
( c_PropLog_Oeval(v_tt,v_pl1,t_a)
| 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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
( ~ c_PropLog_Oeval(v_tt,v_pl2,t_a)
| c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| 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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f5,negated_conjecture,
( ~ 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))
| c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f6,negated_conjecture,
( ~ 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))
| ~ c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f7,negated_conjecture,
( ~ c_PropLog_Oeval(v_tt,v_pl1,t_a)
| c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ 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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Ofalse__imp_0) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( 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))
| ~ 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(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oimp__false_0) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_PropLog_Othms(c_union(X1,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__Un1_0) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_PropLog_Othms(c_union(X3,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__Un2_0) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
tcf(c_61,negated_conjecture,
( 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) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_62,negated_conjecture,
( c_PropLog_Oeval(v_tt,v_pl1,t_a)
| 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)) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_63,negated_conjecture,
( 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) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_64,negated_conjecture,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| 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)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_65,negated_conjecture,
( 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)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_66,negated_conjecture,
( ~ 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)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_67,negated_conjecture,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a)
| ~ 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)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X3,X0,X1),c_PropLog_Opl_Ofalse,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
| ~ c_in(X3,c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_PropLog_Othms(c_union(X1,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_PropLog_Othms(c_union(X3,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_129,definition,
iPr_def_10 = c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_130,definition,
iPr_def_11 = c_PropLog_Opl_Oop_A_N_62(iPr_def_10,c_PropLog_Opl_Ofalse,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_131,definition,
iPr_def_12 = c_PropLog_Ohyps(v_pl1,v_tt,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_132,definition,
iPr_def_13 = c_PropLog_Ohyps(v_pl2,v_tt,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_133,definition,
iPr_def_14 = tc_PropLog_Opl(t_a),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_134,definition,
iPr_def_15 = c_union(iPr_def_12,iPr_def_13,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_135,definition,
iPr_def_16 = c_PropLog_Othms(iPr_def_15,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_136,definition,
iPr_def_17 = c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_137,definition,
iPr_def_18 = c_PropLog_Othms(iPr_def_13,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_138,definition,
iPr_def_19 = c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_139,definition,
iPr_def_20 = c_PropLog_Othms(iPr_def_12,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_140,negated_conjecture,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a)
| ~ c_in(iPr_def_11,iPr_def_16,iPr_def_14) ),
inference(demodulation,[status(thm)],[c_67,c_133,c_132,c_131,c_134,c_135,c_129,c_130]) ).
tcf(c_141,negated_conjecture,
( ~ c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_in(iPr_def_10,iPr_def_16,iPr_def_14) ),
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_142,negated_conjecture,
( c_PropLog_Oeval(v_tt,v_pl1,t_a)
| ~ c_in(iPr_def_10,iPr_def_16,iPr_def_14) ),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_143,negated_conjecture,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| c_in(iPr_def_17,iPr_def_18,iPr_def_14) ),
inference(demodulation,[status(thm)],[c_64,c_137,c_136]) ).
tcf(c_144,negated_conjecture,
( c_in(v_pl2,iPr_def_18,iPr_def_14)
| ~ c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_145,negated_conjecture,
( c_PropLog_Oeval(v_tt,v_pl1,t_a)
| c_in(iPr_def_19,iPr_def_20,iPr_def_14) ),
inference(demodulation,[status(thm)],[c_62,c_139,c_138]) ).
tcf(c_146,negated_conjecture,
( c_in(v_pl1,iPr_def_20,iPr_def_14)
| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_452,plain,
( c_in(iPr_def_17,iPr_def_18,iPr_def_14)
| c_in(v_pl2,iPr_def_18,iPr_def_14) ),
inference(superposition,[status(thm)],[c_143,c_144]) ).
tcf(c_459,plain,
( c_in(iPr_def_19,iPr_def_20,iPr_def_14)
| c_in(v_pl1,iPr_def_20,iPr_def_14) ),
inference(superposition,[status(thm)],[c_145,c_146]) ).
tcf(c_466,plain,
( c_in(iPr_def_17,iPr_def_18,iPr_def_14)
| ~ c_in(iPr_def_10,iPr_def_16,iPr_def_14) ),
inference(superposition,[status(thm)],[c_143,c_141]) ).
tcf(c_475,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| c_in(iPr_def_19,iPr_def_20,iPr_def_14)
| ~ c_in(iPr_def_11,iPr_def_16,iPr_def_14) ),
inference(superposition,[status(thm)],[c_145,c_140]) ).
tcf(c_505,plain,
! [X0: $i,X1: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,t_a),iPr_def_16,tc_PropLog_Opl(t_a))
| ~ c_in(X0,c_PropLog_Othms(iPr_def_15,t_a),tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_135,c_72]) ).
tcf(c_506,plain,
! [X0: $i,X1: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,t_a),iPr_def_18,tc_PropLog_Opl(t_a))
| ~ c_in(X0,c_PropLog_Othms(iPr_def_13,t_a),tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_137,c_72]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,t_a),iPr_def_18,iPr_def_14)
| ~ c_in(X0,iPr_def_18,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_506,c_133,c_137]) ).
tcf(c_527,plain,
! [X0: $i,X1: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,t_a),iPr_def_16,iPr_def_14)
| ~ c_in(X0,iPr_def_16,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_505,c_133,c_135]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_PropLog_Othms(c_union(X1,X2,iPr_def_14),t_a),iPr_def_14)
| ~ c_in(X0,c_PropLog_Othms(X1,t_a),tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_133,c_70]) ).
tcf(c_581,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_PropLog_Othms(c_union(X1,X2,iPr_def_14),t_a),iPr_def_14)
| ~ c_in(X0,c_PropLog_Othms(X1,t_a),iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_579,c_133]) ).
tcf(c_589,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_PropLog_Othms(c_union(X2,X1,iPr_def_14),t_a),iPr_def_14)
| ~ c_in(X0,c_PropLog_Othms(X1,t_a),tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_133,c_71]) ).
tcf(c_591,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_PropLog_Othms(c_union(X2,X1,iPr_def_14),t_a),iPr_def_14)
| ~ c_in(X0,c_PropLog_Othms(X1,t_a),iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_589,c_133]) ).
tcf(c_606,plain,
! [X0: $i,X1: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),c_PropLog_Othms(iPr_def_12,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,t_a),iPr_def_20,tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_139,c_68]) ).
tcf(c_619,plain,
! [X0: $i,X1: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),iPr_def_20,iPr_def_14)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,t_a),iPr_def_20,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_606,c_133,c_139]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X3,X0,X1),X4,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
| ~ c_in(X3,c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)) ),
inference(superposition,[status(thm)],[c_69,c_68]) ).
tcf(c_766,plain,
( c_in(iPr_def_10,iPr_def_16,iPr_def_14)
| ~ c_in(v_pl2,iPr_def_16,iPr_def_14) ),
inference(superposition,[status(thm)],[c_129,c_527]) ).
tcf(c_821,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,X0,t_a),iPr_def_20,iPr_def_14)
| ~ c_in(iPr_def_19,iPr_def_20,iPr_def_14) ),
inference(superposition,[status(thm)],[c_138,c_619]) ).
tcf(c_1029,plain,
! [X0: $i] :
( c_in(X0,c_PropLog_Othms(iPr_def_15,t_a),iPr_def_14)
| ~ c_in(X0,c_PropLog_Othms(iPr_def_12,t_a),iPr_def_14) ),
inference(superposition,[status(thm)],[c_134,c_581]) ).
tcf(c_1034,plain,
! [X0: $i] :
( c_in(X0,iPr_def_16,iPr_def_14)
| ~ c_in(X0,iPr_def_20,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_1029,c_135,c_139]) ).
tcf(c_1054,plain,
( c_in(iPr_def_19,iPr_def_20,iPr_def_14)
| c_in(v_pl1,iPr_def_16,iPr_def_14) ),
inference(superposition,[status(thm)],[c_459,c_1034]) ).
tcf(c_1057,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,X0,t_a),iPr_def_16,iPr_def_14)
| ~ c_in(iPr_def_19,iPr_def_20,iPr_def_14) ),
inference(superposition,[status(thm)],[c_821,c_1034]) ).
tcf(c_1127,plain,
! [X0: $i] :
( c_in(X0,c_PropLog_Othms(iPr_def_15,t_a),iPr_def_14)
| ~ c_in(X0,c_PropLog_Othms(iPr_def_13,t_a),iPr_def_14) ),
inference(superposition,[status(thm)],[c_134,c_591]) ).
tcf(c_1132,plain,
! [X0: $i] :
( c_in(X0,iPr_def_16,iPr_def_14)
| ~ c_in(X0,iPr_def_18,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_1127,c_135,c_137]) ).
tcf(c_1149,plain,
( c_in(iPr_def_17,iPr_def_18,iPr_def_14)
| c_in(v_pl2,iPr_def_16,iPr_def_14) ),
inference(superposition,[status(thm)],[c_452,c_1132]) ).
tcf(c_1150,plain,
! [X0: $i,X1: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,t_a),iPr_def_16,iPr_def_14)
| ~ c_in(X0,iPr_def_18,iPr_def_14) ),
inference(superposition,[status(thm)],[c_524,c_1132]) ).
tcf(c_1174,negated_conjecture,
c_in(iPr_def_17,iPr_def_18,iPr_def_14),
inference(global_subsumption_just,[status(thm)],[c_143,c_466,c_766,c_1149]) ).
tcf(c_1234,plain,
c_in(iPr_def_17,iPr_def_18,iPr_def_14),
inference(global_subsumption_just,[status(thm)],[c_1149,c_1174]) ).
tcf(c_1238,plain,
c_in(iPr_def_17,iPr_def_16,iPr_def_14),
inference(superposition,[status(thm)],[c_1234,c_1132]) ).
tcf(c_1251,plain,
( c_in(iPr_def_10,iPr_def_16,iPr_def_14)
| ~ c_in(iPr_def_19,iPr_def_20,iPr_def_14) ),
inference(superposition,[status(thm)],[c_129,c_1057]) ).
tcf(c_1341,plain,
( c_in(iPr_def_10,iPr_def_16,iPr_def_14)
| ~ c_in(v_pl2,iPr_def_18,iPr_def_14) ),
inference(superposition,[status(thm)],[c_129,c_1150]) ).
tcf(c_1592,negated_conjecture,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_in(iPr_def_11,iPr_def_16,iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_140,c_140,c_141,c_142,c_144,c_475,c_1251,c_1341]) ).
tcf(c_1594,negated_conjecture,
~ c_in(iPr_def_11,iPr_def_16,iPr_def_14),
inference(global_subsumption_just,[status(thm)],[c_1592,c_141,c_144,c_1341,c_1592]) ).
tcf(c_1617,plain,
! [X0: $i,X1: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(iPr_def_10,X1,t_a),c_PropLog_Othms(X0,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_pl1,c_PropLog_Othms(X0,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(X0,t_a),tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_129,c_658]) ).
tcf(c_1628,plain,
! [X0: $i,X1: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(iPr_def_10,X1,t_a),c_PropLog_Othms(X0,t_a),iPr_def_14)
| ~ c_in(iPr_def_17,c_PropLog_Othms(X0,t_a),iPr_def_14)
| ~ c_in(v_pl1,c_PropLog_Othms(X0,t_a),iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_1617,c_133,c_136]) ).
tcf(c_1714,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(iPr_def_10,X0,t_a),iPr_def_16,iPr_def_14)
| ~ c_in(iPr_def_17,c_PropLog_Othms(iPr_def_15,t_a),iPr_def_14)
| ~ c_in(v_pl1,c_PropLog_Othms(iPr_def_15,t_a),iPr_def_14) ),
inference(superposition,[status(thm)],[c_135,c_1628]) ).
tcf(c_1729,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(iPr_def_10,X0,t_a),iPr_def_16,iPr_def_14)
| ~ c_in(iPr_def_17,iPr_def_16,iPr_def_14)
| ~ c_in(v_pl1,iPr_def_16,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_1714,c_135]) ).
tcf(c_1730,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(iPr_def_10,X0,t_a),iPr_def_16,iPr_def_14)
| ~ c_in(v_pl1,iPr_def_16,iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1729,c_1238]) ).
tcf(c_1769,plain,
( c_in(iPr_def_11,iPr_def_16,iPr_def_14)
| ~ c_in(v_pl1,iPr_def_16,iPr_def_14) ),
inference(superposition,[status(thm)],[c_130,c_1730]) ).
tcf(c_1773,plain,
~ c_in(v_pl1,iPr_def_16,iPr_def_14),
inference(global_subsumption_just,[status(thm)],[c_1769,c_1594,c_1769]) ).
tcf(c_1775,plain,
c_in(iPr_def_19,iPr_def_20,iPr_def_14),
inference(backward_subsumption_resolution,[status(thm)],[c_1054,c_1773]) ).
tcf(c_1776,plain,
c_in(iPr_def_10,iPr_def_16,iPr_def_14),
inference(backward_subsumption_resolution,[status(thm)],[c_1251,c_1775]) ).
tcf(c_1780,plain,
c_PropLog_Oeval(v_tt,v_pl1,t_a),
inference(backward_subsumption_resolution,[status(thm)],[c_142,c_1776]) ).
tcf(c_1782,plain,
c_in(v_pl1,iPr_def_20,iPr_def_14),
inference(backward_subsumption_resolution,[status(thm)],[c_146,c_1780]) ).
tcf(c_1789,plain,
c_in(v_pl1,iPr_def_16,iPr_def_14),
inference(superposition,[status(thm)],[c_1782,c_1034]) ).
tcf(c_1790,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1789,c_1773]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL442-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.19/0.43 % Computer : n013.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Wed Sep 23 23:22:36 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.19/0.49 Running first-order theorem proving
% 0.19/0.49 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.51
% 0.25/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.51
% 0.25/0.51 % Detected problem language: tptp
% 0.25/0.52 % Proving...
% 0.56/1.37 % SZS status Started for theBenchmark.p
% 0.56/1.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.56/1.37
% 0.56/1.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.56/1.37
% 0.56/1.37 % ------ iProver source info
% 0.56/1.37
% 0.56/1.37 % git: date: 2026-07-19 20:42:38 +0200
% 0.56/1.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.56/1.37 % git: non_committed_changes: false
% 0.56/1.37
% 0.56/1.37 % ------ Parsing...% successful
% 0.56/1.37
% 0.56/1.37
% 0.56/1.37 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.56/1.37
% 0.56/1.37 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.56/1.37
% 0.56/1.37 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.56/1.37
% 0.56/1.37 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.56/1.37 % ------ Proving...
% 0.56/1.37 % ------ Problem Properties
% 0.56/1.37
% 0.56/1.37 %
% 0.56/1.37 % clauses 23
% 0.56/1.37 % conjectures 7
% 0.56/1.37 % EPR 7
% 0.56/1.37 % Horn 21
% 0.56/1.37 % unary 11
% 0.56/1.37 % binary 10
% 0.56/1.37 % lits 37
% 0.56/1.37 % lits eq 11
% 0.56/1.37 % fd_pure 0
% 0.56/1.37 % fd_pseudo 0
% 0.56/1.37 % fd_cond 0
% 0.56/1.37 % fd_pseudo_cond 0
% 0.56/1.37 % AC symbols 0
% 0.56/1.37
% 0.56/1.37 % ------ Schedule dynamic 5 is on
% 0.56/1.37
% 0.56/1.37 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.56/1.37
% 0.56/1.37
% 0.56/1.37 % ------
% 0.56/1.37 % Current options:
% 0.56/1.37 % ------
% 0.56/1.37
% 0.56/1.37
% 0.56/1.37 %
% 0.56/1.37
% 0.56/1.37 % ------ Proving...
% 0.56/1.37 %
% 0.56/1.37
% 0.56/1.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.56/1.37
% 0.56/1.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.56/1.37
% 0.56/1.37
%------------------------------------------------------------------------------