%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL265-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n015.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 02:06:13 PM UTC 2026
% Result : Unsatisfiable 99.89s 32.87s
% Output : CNFRefutation 99.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 21
% Syntax : Number of formulae : 146 ( 146 unt; 10 def)
% Number of atoms : 342 ( 145 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-4 aty)
% Number of variables : 162 ( 0 sgn 162 !; 0 ?; 113 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f4,plain,
! [X0,X1] : true = axiom(implies(X0,or(X1,X0))),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f6,plain,
! [X0,X1] : true = axiom(implies(or(X0,X1),or(X1,X0))),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f8,plain,
! [X2,X0,X1] : true = axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f10,plain,
! [X2,X0,X1] : true = axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f12,axiom,
! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f13,plain,
! [X0] : true = ifeq(axiom(X0),true,theorem(X0),true),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X0,X1] : ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f15,plain,
! [X0,X1] : true = ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).
fof(f17,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f18,negated_conjecture,
theorem(equivalent(p,not(not(p)))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f19,plain,
true != theorem(equivalent(p,not(not(p)))),
inference(reorient_equations,[],[f18]) ).
fof(f20,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f17,f16,f11,f11]) ).
fof(f22,plain,
! [X0,X1] : true = axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f4,f11]) ).
fof(f23,plain,
! [X0,X1] : true = axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f6,f11]) ).
fof(f24,plain,
! [X2,X0,X1] : true = axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f8,f11]) ).
fof(f25,plain,
! [X2,X0,X1] : true = axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f10,f11,f11,f11]) ).
fof(f26,plain,
! [X0,X1] : true = ifeq(theorem(or(not(X0),X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true),
inference(definition_unfolding,[],[f15,f11]) ).
fof(f27,plain,
true != theorem(not(or(not(or(not(p),not(not(p)))),not(or(not(not(not(p))),p))))),
inference(definition_unfolding,[],[f19,f20]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : axiom(or(not(X0),or(X1,X0))) = true,
inference(cnf_transformation,[],[f22]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(X0,X1)),or(X1,X0))) = true,
inference(cnf_transformation,[],[f23]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) = true,
inference(cnf_transformation,[],[f24]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))) = true,
inference(cnf_transformation,[],[f25]) ).
tcf(c_67,plain,
! [X0: $i] : ifeq(axiom(X0),true,theorem(X0),true) = true,
inference(cnf_transformation,[],[f13]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(X0),X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
inference(cnf_transformation,[],[f26]) ).
tcf(c_69,negated_conjecture,
theorem(not(or(not(or(not(p),not(not(p)))),not(or(not(not(not(p))),p))))) != true,
inference(cnf_transformation,[],[f27]) ).
tcf(c_103,definition,
iPr_def_10 = not(p),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_104,definition,
iPr_def_11 = not(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_105,definition,
iPr_def_12 = or(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_106,definition,
iPr_def_13 = not(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_107,definition,
iPr_def_14 = not(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_108,definition,
iPr_def_15 = or(iPr_def_14,p),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_109,definition,
iPr_def_16 = not(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_110,definition,
iPr_def_17 = or(iPr_def_13,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_111,definition,
iPr_def_18 = not(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_112,definition,
iPr_def_19 = theorem(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_113,negated_conjecture,
iPr_def_19 != true,
inference(demodulation,[status(thm)],[c_69,c_107,c_108,c_109,c_104,c_103,c_105,c_106,c_110,c_111,c_112]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(X0),X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
inference(demodulation,[status(thm)],[c_68]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))) = true,
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) = true,
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(X0,X1)),or(X1,X0))) = true,
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i] : axiom(or(not(X0),or(X1,X0))) = true,
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_120,plain,
! [X0: $i] : ifeq(axiom(X0),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_211,plain,
! [X0: $i] : ifeq(theorem(or(iPr_def_13,X0)),true,ifeq(theorem(iPr_def_12),true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_106,c_114]) ).
tcf(c_216,plain,
! [X0: $i] : ifeq(theorem(or(not(X0),iPr_def_18)),true,ifeq(theorem(X0),true,iPr_def_19,true),true) = true,
inference(superposition,[status(thm)],[c_112,c_114]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(iPr_def_11,X0)),or(not(or(X1,iPr_def_10)),or(X1,X0)))) = true,
inference(superposition,[status(thm)],[c_104,c_115]) ).
tcf(c_224,plain,
! [X0: $i] : axiom(or(not(or(not(p),X0)),or(not(iPr_def_15),or(iPr_def_14,X0)))) = true,
inference(superposition,[status(thm)],[c_108,c_115]) ).
tcf(c_230,plain,
! [X0: $i] : axiom(or(not(or(iPr_def_10,X0)),or(iPr_def_16,or(iPr_def_14,X0)))) = true,
inference(demodulation,[status(thm)],[c_224,c_103,c_109]) ).
tcf(c_234,plain,
! [X0: $i] : axiom(or(not(or(X0,iPr_def_17)),or(iPr_def_13,or(X0,iPr_def_16)))) = true,
inference(superposition,[status(thm)],[c_110,c_116]) ).
tcf(c_240,plain,
axiom(or(not(iPr_def_17),or(iPr_def_16,iPr_def_13))) = true,
inference(superposition,[status(thm)],[c_110,c_117]) ).
tcf(c_242,plain,
axiom(or(not(or(p,iPr_def_14)),iPr_def_15)) = true,
inference(superposition,[status(thm)],[c_108,c_117]) ).
tcf(c_244,plain,
axiom(or(iPr_def_18,or(iPr_def_16,iPr_def_13))) = true,
inference(demodulation,[status(thm)],[c_240,c_111]) ).
tcf(c_247,plain,
! [X0: $i] : axiom(or(iPr_def_10,or(X0,p))) = true,
inference(superposition,[status(thm)],[c_103,c_118]) ).
tcf(c_248,plain,
! [X0: $i] : axiom(or(iPr_def_11,or(X0,iPr_def_10))) = true,
inference(superposition,[status(thm)],[c_104,c_118]) ).
tcf(c_250,plain,
! [X0: $i] : axiom(or(iPr_def_14,or(X0,iPr_def_11))) = true,
inference(superposition,[status(thm)],[c_107,c_118]) ).
tcf(c_252,plain,
! [X0: $i] : axiom(or(iPr_def_18,or(X0,iPr_def_17))) = true,
inference(superposition,[status(thm)],[c_111,c_118]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i] : ifeq(true,true,theorem(or(not(or(X0,X1)),or(X1,X0))),true) = true,
inference(superposition,[status(thm)],[c_117,c_120]) ).
tcf(c_261,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(true,true,theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),true) = true,
inference(superposition,[status(thm)],[c_116,c_120]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(X0,X1)),or(X1,X0))) = true,
inference(demodulation,[status(thm)],[c_260,c_121]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) = true,
inference(demodulation,[status(thm)],[c_261,c_121]) ).
tcf(c_350,plain,
! [X0: $i,X1: $i] : ifeq(true,true,theorem(or(not(or(iPr_def_11,X0)),or(not(or(X1,iPr_def_10)),or(X1,X0)))),true) = true,
inference(superposition,[status(thm)],[c_218,c_120]) ).
tcf(c_351,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_11,X0)),or(not(or(X1,iPr_def_10)),or(X1,X0)))) = true,
inference(demodulation,[status(thm)],[c_350,c_121]) ).
tcf(c_435,plain,
! [X0: $i] : ifeq(true,true,theorem(or(not(or(iPr_def_10,X0)),or(iPr_def_16,or(iPr_def_14,X0)))),true) = true,
inference(superposition,[status(thm)],[c_230,c_120]) ).
tcf(c_437,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_10,X0)),or(iPr_def_16,or(iPr_def_14,X0)))) = true,
inference(demodulation,[status(thm)],[c_435,c_121]) ).
tcf(c_454,plain,
! [X0: $i] : ifeq(true,true,theorem(or(not(or(X0,iPr_def_17)),or(iPr_def_13,or(X0,iPr_def_16)))),true) = true,
inference(superposition,[status(thm)],[c_234,c_120]) ).
tcf(c_455,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_17)),or(iPr_def_13,or(X0,iPr_def_16)))) = true,
inference(demodulation,[status(thm)],[c_454,c_121]) ).
tcf(c_481,plain,
ifeq(true,true,theorem(or(iPr_def_18,or(iPr_def_16,iPr_def_13))),true) = true,
inference(superposition,[status(thm)],[c_244,c_120]) ).
tcf(c_482,plain,
theorem(or(iPr_def_18,or(iPr_def_16,iPr_def_13))) = true,
inference(demodulation,[status(thm)],[c_481,c_121]) ).
tcf(c_497,plain,
ifeq(true,true,theorem(or(not(or(p,iPr_def_14)),iPr_def_15)),true) = true,
inference(superposition,[status(thm)],[c_242,c_120]) ).
tcf(c_498,plain,
theorem(or(not(or(p,iPr_def_14)),iPr_def_15)) = true,
inference(demodulation,[status(thm)],[c_497,c_121]) ).
tcf(c_505,plain,
! [X0: $i] : ifeq(true,true,theorem(or(iPr_def_10,or(X0,p))),true) = true,
inference(superposition,[status(thm)],[c_247,c_120]) ).
tcf(c_506,plain,
! [X0: $i] : theorem(or(iPr_def_10,or(X0,p))) = true,
inference(demodulation,[status(thm)],[c_505,c_121]) ).
tcf(c_508,plain,
! [X0: $i] : ifeq(true,true,theorem(or(iPr_def_11,or(X0,iPr_def_10))),true) = true,
inference(superposition,[status(thm)],[c_248,c_120]) ).
tcf(c_509,plain,
! [X0: $i] : theorem(or(iPr_def_11,or(X0,iPr_def_10))) = true,
inference(demodulation,[status(thm)],[c_508,c_121]) ).
tcf(c_515,plain,
! [X0: $i] : ifeq(true,true,theorem(or(iPr_def_14,or(X0,iPr_def_11))),true) = true,
inference(superposition,[status(thm)],[c_250,c_120]) ).
tcf(c_516,plain,
! [X0: $i] : theorem(or(iPr_def_14,or(X0,iPr_def_11))) = true,
inference(demodulation,[status(thm)],[c_515,c_121]) ).
tcf(c_521,plain,
! [X0: $i] : ifeq(true,true,theorem(or(iPr_def_18,or(X0,iPr_def_17))),true) = true,
inference(superposition,[status(thm)],[c_252,c_120]) ).
tcf(c_522,plain,
! [X0: $i] : theorem(or(iPr_def_18,or(X0,iPr_def_17))) = true,
inference(demodulation,[status(thm)],[c_521,c_121]) ).
tcf(c_595,plain,
! [X0: $i,X1: $i] : ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),true) = true,
inference(superposition,[status(thm)],[c_266,c_114]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true) = true,
inference(demodulation,[status(thm)],[c_595,c_121]) ).
tcf(c_617,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(true,true,ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),true) = true,
inference(superposition,[status(thm)],[c_267,c_114]) ).
tcf(c_618,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true) = true,
inference(demodulation,[status(thm)],[c_617,c_121]) ).
tcf(c_669,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_18,or(iPr_def_16,iPr_def_13))),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_482,c_114]) ).
tcf(c_674,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_18,or(iPr_def_16,iPr_def_13))),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_669,c_121]) ).
tcf(c_969,plain,
! [X0: $i,X1: $i] : ifeq(true,true,ifeq(theorem(or(iPr_def_11,X0)),true,theorem(or(not(or(X1,iPr_def_10)),or(X1,X0))),true),true) = true,
inference(superposition,[status(thm)],[c_351,c_114]) ).
tcf(c_970,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(iPr_def_11,X0)),true,theorem(or(not(or(X1,iPr_def_10)),or(X1,X0))),true) = true,
inference(demodulation,[status(thm)],[c_969,c_121]) ).
tcf(c_1059,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(or(iPr_def_14,or(X0,iPr_def_11))),X1)),true,ifeq(true,true,theorem(X1),true),true) = true,
inference(superposition,[status(thm)],[c_516,c_114]) ).
tcf(c_1063,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(or(iPr_def_14,or(X0,iPr_def_11))),X1)),true,theorem(X1),true) = true,
inference(demodulation,[status(thm)],[c_1059,c_121]) ).
tcf(c_1272,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(or(not(or(iPr_def_10,X0)),or(iPr_def_16,or(iPr_def_14,X0)))),X1)),true,ifeq(true,true,theorem(X1),true),true) = true,
inference(superposition,[status(thm)],[c_437,c_114]) ).
tcf(c_1278,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(or(not(or(iPr_def_10,X0)),or(iPr_def_16,or(iPr_def_14,X0)))),X1)),true,theorem(X1),true) = true,
inference(demodulation,[status(thm)],[c_1272,c_121]) ).
tcf(c_1369,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(or(not(or(X0,iPr_def_17)),or(iPr_def_13,or(X0,iPr_def_16)))),X1)),true,ifeq(true,true,theorem(X1),true),true) = true,
inference(superposition,[status(thm)],[c_455,c_114]) ).
tcf(c_1371,plain,
! [X0: $i] : ifeq(true,true,ifeq(theorem(or(X0,iPr_def_17)),true,theorem(or(iPr_def_13,or(X0,iPr_def_16))),true),true) = true,
inference(superposition,[status(thm)],[c_455,c_114]) ).
tcf(c_1372,plain,
! [X0: $i] : ifeq(theorem(or(X0,iPr_def_17)),true,theorem(or(iPr_def_13,or(X0,iPr_def_16))),true) = true,
inference(demodulation,[status(thm)],[c_1371,c_121]) ).
tcf(c_1374,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(or(not(or(X0,iPr_def_17)),or(iPr_def_13,or(X0,iPr_def_16)))),X1)),true,theorem(X1),true) = true,
inference(demodulation,[status(thm)],[c_1369,c_121]) ).
tcf(c_1667,plain,
ifeq(true,true,ifeq(theorem(or(p,iPr_def_14)),true,theorem(iPr_def_15),true),true) = true,
inference(superposition,[status(thm)],[c_498,c_114]) ).
tcf(c_1668,plain,
ifeq(theorem(or(p,iPr_def_14)),true,theorem(iPr_def_15),true) = true,
inference(demodulation,[status(thm)],[c_1667,c_121]) ).
tcf(c_2712,plain,
! [X0: $i] : ifeq(true,true,theorem(or(X0,or(iPr_def_10,p))),true) = true,
inference(superposition,[status(thm)],[c_506,c_618]) ).
tcf(c_2713,plain,
! [X0: $i] : ifeq(true,true,theorem(or(X0,or(iPr_def_11,iPr_def_10))),true) = true,
inference(superposition,[status(thm)],[c_509,c_618]) ).
tcf(c_2715,plain,
! [X0: $i] : ifeq(true,true,theorem(or(X0,or(iPr_def_14,iPr_def_11))),true) = true,
inference(superposition,[status(thm)],[c_516,c_618]) ).
tcf(c_2717,plain,
! [X0: $i] : ifeq(true,true,theorem(or(X0,or(iPr_def_18,iPr_def_17))),true) = true,
inference(superposition,[status(thm)],[c_522,c_618]) ).
tcf(c_2775,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_18,iPr_def_17))) = true,
inference(demodulation,[status(thm)],[c_2717,c_121]) ).
tcf(c_2777,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_14,iPr_def_11))) = true,
inference(demodulation,[status(thm)],[c_2715,c_121]) ).
tcf(c_2779,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_11,iPr_def_10))) = true,
inference(demodulation,[status(thm)],[c_2713,c_121]) ).
tcf(c_2780,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_10,p))) = true,
inference(demodulation,[status(thm)],[c_2712,c_121]) ).
tcf(c_5159,plain,
ifeq(true,true,theorem(or(iPr_def_18,iPr_def_17)),true) = true,
inference(superposition,[status(thm)],[c_2775,c_674]) ).
tcf(c_5169,plain,
theorem(or(iPr_def_18,iPr_def_17)) = true,
inference(demodulation,[status(thm)],[c_5159,c_121]) ).
tcf(c_6840,plain,
ifeq(true,true,theorem(or(iPr_def_14,iPr_def_11)),true) = true,
inference(superposition,[status(thm)],[c_2777,c_1063]) ).
tcf(c_6841,plain,
theorem(or(iPr_def_14,iPr_def_11)) = true,
inference(demodulation,[status(thm)],[c_6840,c_121]) ).
tcf(c_6928,plain,
ifeq(true,true,theorem(or(iPr_def_11,iPr_def_14)),true) = true,
inference(superposition,[status(thm)],[c_6841,c_596]) ).
tcf(c_6929,plain,
theorem(or(iPr_def_11,iPr_def_14)) = true,
inference(demodulation,[status(thm)],[c_6928,c_121]) ).
tcf(c_8028,plain,
! [X0: $i] : ifeq(true,true,theorem(or(not(or(X0,iPr_def_10)),or(X0,iPr_def_14))),true) = true,
inference(superposition,[status(thm)],[c_6929,c_970]) ).
tcf(c_8044,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_10)),or(X0,iPr_def_14))) = true,
inference(demodulation,[status(thm)],[c_8028,c_121]) ).
tcf(c_9227,plain,
ifeq(true,true,theorem(or(iPr_def_11,iPr_def_10)),true) = true,
inference(superposition,[status(thm)],[c_2779,c_1278]) ).
tcf(c_9228,plain,
theorem(or(iPr_def_11,iPr_def_10)) = true,
inference(demodulation,[status(thm)],[c_9227,c_121]) ).
tcf(c_9341,plain,
ifeq(true,true,theorem(or(iPr_def_10,iPr_def_11)),true) = true,
inference(superposition,[status(thm)],[c_9228,c_596]) ).
tcf(c_9342,plain,
theorem(iPr_def_12) = true,
inference(demodulation,[status(thm)],[c_9341,c_121,c_105]) ).
tcf(c_9354,plain,
! [X0: $i] : ifeq(theorem(or(iPr_def_13,X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(demodulation,[status(thm)],[c_211,c_9342]) ).
tcf(c_9355,plain,
! [X0: $i] : ifeq(theorem(or(iPr_def_13,X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_9354,c_121]) ).
tcf(c_10102,plain,
ifeq(true,true,theorem(or(iPr_def_13,or(iPr_def_18,iPr_def_16))),true) = true,
inference(superposition,[status(thm)],[c_5169,c_1372]) ).
tcf(c_10105,plain,
theorem(or(iPr_def_13,or(iPr_def_18,iPr_def_16))) = true,
inference(demodulation,[status(thm)],[c_10102,c_121]) ).
tcf(c_10537,plain,
ifeq(true,true,theorem(or(iPr_def_10,p)),true) = true,
inference(superposition,[status(thm)],[c_2780,c_1374]) ).
tcf(c_10539,plain,
theorem(or(iPr_def_10,p)) = true,
inference(demodulation,[status(thm)],[c_10537,c_121]) ).
tcf(c_10649,plain,
ifeq(true,true,theorem(or(p,iPr_def_10)),true) = true,
inference(superposition,[status(thm)],[c_10539,c_596]) ).
tcf(c_10650,plain,
theorem(or(p,iPr_def_10)) = true,
inference(demodulation,[status(thm)],[c_10649,c_121]) ).
tcf(c_10674,plain,
! [X0: $i] : ifeq(theorem(or(not(or(p,iPr_def_10)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_10650,c_114]) ).
tcf(c_10728,plain,
! [X0: $i] : ifeq(theorem(or(not(or(p,iPr_def_10)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_10674,c_121]) ).
tcf(c_82816,plain,
ifeq(true,true,theorem(or(iPr_def_18,iPr_def_16)),true) = true,
inference(superposition,[status(thm)],[c_10105,c_9355]) ).
tcf(c_83168,plain,
theorem(or(iPr_def_18,iPr_def_16)) = true,
inference(demodulation,[status(thm)],[c_82816,c_121]) ).
tcf(c_84425,plain,
ifeq(true,true,theorem(or(iPr_def_16,iPr_def_18)),true) = true,
inference(superposition,[status(thm)],[c_83168,c_596]) ).
tcf(c_84426,plain,
theorem(or(iPr_def_16,iPr_def_18)) = true,
inference(demodulation,[status(thm)],[c_84425,c_121]) ).
tcf(c_87271,plain,
ifeq(true,true,theorem(or(p,iPr_def_14)),true) = true,
inference(superposition,[status(thm)],[c_8044,c_10728]) ).
tcf(c_87626,plain,
theorem(or(p,iPr_def_14)) = true,
inference(demodulation,[status(thm)],[c_87271,c_121]) ).
tcf(c_87637,plain,
ifeq(true,true,theorem(iPr_def_15),true) = true,
inference(demodulation,[status(thm)],[c_1668,c_87626]) ).
tcf(c_87639,plain,
theorem(iPr_def_15) = true,
inference(demodulation,[status(thm)],[c_87637,c_121]) ).
tcf(c_87690,plain,
ifeq(theorem(or(not(iPr_def_15),iPr_def_18)),true,ifeq(true,true,iPr_def_19,true),true) = true,
inference(superposition,[status(thm)],[c_87639,c_216]) ).
tcf(c_87788,plain,
true = iPr_def_19,
inference(demodulation,[status(thm)],[c_87690,c_121,c_109,c_84426]) ).
tcf(c_88511,plain,
iPr_def_19 != iPr_def_19,
inference(demodulation,[status(thm)],[c_113,c_87788]) ).
tcf(c_88512,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_88511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL265-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/10.38 % Computer : n015.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Wed Sep 23 22:42:35 UTC 2026
% 0.09/10.39 % CPUTime :
% 0.09/10.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/10.42 Running UEQ theorem proving
% 0.14/10.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/10.43
% 0.14/10.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.43
% 0.14/10.43 % Detected problem language: tptp
% 0.14/10.45 % Proving...
% 99.89/32.87 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 99.89/32.87 % SZS status Started for theBenchmark.p
% 99.89/32.87 % SZS status Unsatisfiable for theBenchmark.p
% 99.89/32.87
% 99.89/32.87 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 99.89/32.87
% 99.89/32.87 % ------ iProver source info
% 99.89/32.87
% 99.89/32.87 % git: date: 2026-07-19 20:42:38 +0200
% 99.89/32.87 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 99.89/32.87 % git: non_committed_changes: false
% 99.89/32.87
% 99.89/32.87 % ------ Parsing...% successful
% 99.89/32.87
% 99.89/32.87
% 99.89/32.87 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 99.89/32.87
% 99.89/32.87 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 99.89/32.87
% 99.89/32.87 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 99.89/32.87
% 99.89/32.87 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 99.89/32.87 % ------ Proving...
% 99.89/32.87 % ------ Problem Properties
% 99.89/32.87
% 99.89/32.87 %
% 99.89/32.87 % clauses 19
% 99.89/32.87 % conjectures 1
% 99.89/32.87 % EPR 1
% 99.89/32.87 % Horn 19
% 99.89/32.87 % unary 19
% 99.89/32.87 % binary 0
% 99.89/32.87 % lits 19
% 99.89/32.87 % lits eq 19
% 99.89/32.87 % fd_pure 0
% 99.89/32.87 % fd_pseudo 0
% 99.89/32.87 % fd_cond 0
% 99.89/32.87 % fd_pseudo_cond 0
% 99.89/32.87 % AC symbols 0
% 99.89/32.87
% 99.89/32.87 % ------ Input Options Time Limit: Unbounded
% 99.89/32.87
% 99.89/32.87
% 99.89/32.87 % ------
% 99.89/32.87 % Current options:
% 99.89/32.87 % ------
% 99.89/32.87
% 99.89/32.87
% 99.89/32.87 %
% 99.89/32.87
% 99.89/32.87 % ------ Proving...
% 99.89/32.87 %
% 99.89/32.87
% 99.89/32.87 % SZS status Unsatisfiable for theBenchmark.p
% 99.89/32.87
% 99.89/32.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 99.89/32.87
% 99.89/32.87
%------------------------------------------------------------------------------