%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL306-10 : 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 02:06:18 PM UTC 2026
% Result : Unsatisfiable 272.70s 36.90s
% Output : CNFRefutation 272.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 24
% Syntax : Number of formulae : 160 ( 160 unt; 13 def)
% Number of atoms : 363 ( 159 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 : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-4 aty)
% Number of variables : 165 ( 0 sgn 165 !; 0 ?; 116 :)
% 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(implies(not(p),equivalent(q,or(p,q)))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f19,plain,
true != theorem(implies(not(p),equivalent(q,or(p,q)))),
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(or(not(not(p)),not(or(not(or(not(q),or(p,q))),not(or(not(or(p,q)),q)))))),
inference(definition_unfolding,[],[f19,f11,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(or(not(not(p)),not(or(not(or(not(q),or(p,q))),not(or(not(or(p,q)),q)))))) != 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 = not(q),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_106,definition,
iPr_def_13 = or(p,q),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_107,definition,
iPr_def_14 = or(iPr_def_12,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_108,definition,
iPr_def_15 = not(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_109,definition,
iPr_def_16 = not(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_110,definition,
iPr_def_17 = or(iPr_def_16,q),
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 = or(iPr_def_15,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_113,definition,
iPr_def_20 = not(iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_114,definition,
iPr_def_21 = or(iPr_def_11,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_115,definition,
iPr_def_22 = theorem(iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_116,negated_conjecture,
iPr_def_22 != true,
inference(demodulation,[status(thm)],[c_69,c_109,c_110,c_111,c_106,c_105,c_107,c_108,c_112,c_113,c_103,c_104,c_114,c_115]) ).
tcf(c_117,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_118,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_119,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_120,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(X0,X1)),or(X1,X0))) = true,
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] : axiom(or(not(X0),or(X1,X0))) = true,
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_123,plain,
! [X0: $i] : ifeq(axiom(X0),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(X0,X0,X1,X2) = X1,
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_221,plain,
! [X0: $i] : ifeq(theorem(or(iPr_def_15,X0)),true,ifeq(theorem(iPr_def_14),true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_108,c_117]) ).
tcf(c_226,plain,
! [X0: $i] : ifeq(theorem(or(not(X0),iPr_def_21)),true,ifeq(theorem(X0),true,iPr_def_22,true),true) = true,
inference(superposition,[status(thm)],[c_115,c_117]) ).
tcf(c_234,plain,
axiom(or(not(q),iPr_def_13)) = true,
inference(superposition,[status(thm)],[c_106,c_121]) ).
tcf(c_236,plain,
axiom(or(not(q),iPr_def_17)) = true,
inference(superposition,[status(thm)],[c_110,c_121]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i] : ifeq(true,true,theorem(or(not(X0),or(X1,X0))),true) = true,
inference(superposition,[status(thm)],[c_121,c_123]) ).
tcf(c_252,plain,
! [X0: $i,X1: $i] : ifeq(true,true,theorem(or(not(or(X0,X1)),or(X1,X0))),true) = true,
inference(superposition,[status(thm)],[c_120,c_123]) ).
tcf(c_263,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_119,c_123]) ).
tcf(c_274,plain,
! [X0: $i] : axiom(or(not(or(not(iPr_def_18),X0)),or(not(iPr_def_19),or(iPr_def_15,X0)))) = true,
inference(superposition,[status(thm)],[c_112,c_118]) ).
tcf(c_281,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(true,true,theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),true) = true,
inference(superposition,[status(thm)],[c_118,c_123]) ).
tcf(c_282,plain,
axiom(or(iPr_def_12,iPr_def_17)) = true,
inference(light_normalisation,[status(thm)],[c_236,c_105]) ).
tcf(c_284,plain,
axiom(iPr_def_14) = true,
inference(light_normalisation,[status(thm)],[c_234,c_105,c_107]) ).
tcf(c_289,plain,
! [X0: $i] : axiom(or(not(or(not(iPr_def_18),X0)),or(iPr_def_20,or(iPr_def_15,X0)))) = true,
inference(light_normalisation,[status(thm)],[c_274,c_113]) ).
tcf(c_293,plain,
ifeq(true,true,theorem(iPr_def_14),true) = true,
inference(superposition,[status(thm)],[c_284,c_123]) ).
tcf(c_315,plain,
ifeq(true,true,theorem(or(iPr_def_12,iPr_def_17)),true) = true,
inference(superposition,[status(thm)],[c_282,c_123]) ).
tcf(c_382,plain,
! [X0: $i] : ifeq(true,true,theorem(or(iPr_def_16,or(X0,iPr_def_13))),true) = true,
inference(superposition,[status(thm)],[c_109,c_240]) ).
tcf(c_388,plain,
ifeq(true,true,theorem(or(not(iPr_def_18),iPr_def_19)),true) = true,
inference(superposition,[status(thm)],[c_112,c_240]) ).
tcf(c_390,plain,
! [X0: $i,X1: $i] : theorem(or(not(X0),or(X1,X0))) = true,
inference(superposition,[status(thm)],[c_240,c_124]) ).
tcf(c_474,plain,
! [X0: $i] : ifeq(true,true,theorem(or(not(or(not(iPr_def_18),X0)),or(iPr_def_20,or(iPr_def_15,X0)))),true) = true,
inference(superposition,[status(thm)],[c_289,c_123]) ).
tcf(c_487,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(X0,X1)),or(X1,X0))) = true,
inference(superposition,[status(thm)],[c_252,c_124]) ).
tcf(c_626,plain,
! [X0: $i] : ifeq(true,true,theorem(or(not(or(X0,iPr_def_19)),or(iPr_def_15,or(X0,iPr_def_18)))),true) = true,
inference(superposition,[status(thm)],[c_112,c_263]) ).
tcf(c_630,plain,
! [X0: $i] : ifeq(true,true,theorem(or(not(or(iPr_def_16,or(X0,q))),or(X0,iPr_def_17))),true) = true,
inference(superposition,[status(thm)],[c_110,c_263]) ).
tcf(c_633,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) = true,
inference(superposition,[status(thm)],[c_263,c_124]) ).
tcf(c_652,plain,
! [X0: $i] : ifeq(true,true,theorem(or(not(or(not(X0),iPr_def_20)),or(not(or(iPr_def_11,X0)),iPr_def_21))),true) = true,
inference(superposition,[status(thm)],[c_114,c_281]) ).
tcf(c_653,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))) = true,
inference(superposition,[status(thm)],[c_281,c_124]) ).
tcf(c_697,plain,
theorem(iPr_def_14) = true,
inference(superposition,[status(thm)],[c_124,c_293]) ).
tcf(c_755,plain,
theorem(or(iPr_def_12,iPr_def_17)) = true,
inference(superposition,[status(thm)],[c_124,c_315]) ).
tcf(c_764,plain,
theorem(or(not(iPr_def_18),iPr_def_19)) = true,
inference(superposition,[status(thm)],[c_124,c_388]) ).
tcf(c_811,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_487,c_117]) ).
tcf(c_855,plain,
! [X0: $i] : theorem(or(iPr_def_16,or(X0,iPr_def_13))) = true,
inference(superposition,[status(thm)],[c_382,c_124]) ).
tcf(c_983,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_633,c_117]) ).
tcf(c_1013,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_19)),or(iPr_def_15,or(X0,iPr_def_18)))) = true,
inference(superposition,[status(thm)],[c_626,c_124]) ).
tcf(c_1046,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_16,or(X0,q))),or(X0,iPr_def_17))) = true,
inference(superposition,[status(thm)],[c_630,c_124]) ).
tcf(c_1087,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq(true,true,ifeq(theorem(or(not(X0),X1)),true,theorem(or(not(or(X2,X0)),or(X2,X1))),true),true) = true,
inference(superposition,[status(thm)],[c_653,c_117]) ).
tcf(c_1100,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_18),X0)),or(iPr_def_20,or(iPr_def_15,X0)))) = true,
inference(superposition,[status(thm)],[c_474,c_124]) ).
tcf(c_1186,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_20)),or(not(or(iPr_def_11,X0)),iPr_def_21))) = true,
inference(superposition,[status(thm)],[c_652,c_124]) ).
tcf(c_1328,plain,
! [X0: $i] : ifeq(theorem(or(iPr_def_15,X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(demodulation,[status(thm)],[c_221,c_697]) ).
tcf(c_1329,plain,
! [X0: $i] : ifeq(theorem(or(iPr_def_15,X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_1328,c_124]) ).
tcf(c_1534,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_12,iPr_def_17)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_755,c_117]) ).
tcf(c_1558,plain,
! [X0: $i] : ifeq(theorem(or(not(or(not(iPr_def_18),iPr_def_19)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_764,c_117]) ).
tcf(c_1685,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(or(iPr_def_16,or(X0,iPr_def_13))),X1)),true,ifeq(true,true,theorem(X1),true),true) = true,
inference(superposition,[status(thm)],[c_855,c_117]) ).
tcf(c_1985,plain,
theorem(or(not(or(iPr_def_16,iPr_def_13)),or(p,iPr_def_17))) = true,
inference(superposition,[status(thm)],[c_106,c_1046]) ).
tcf(c_2049,plain,
theorem(or(not(or(not(iPr_def_18),iPr_def_18)),or(iPr_def_20,iPr_def_19))) = true,
inference(superposition,[status(thm)],[c_112,c_1100]) ).
tcf(c_2269,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_12,iPr_def_17)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_1534,c_124]) ).
tcf(c_2301,plain,
! [X0: $i] : ifeq(theorem(or(not(or(not(iPr_def_18),iPr_def_19)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_1558,c_124]) ).
tcf(c_2316,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(not(or(iPr_def_16,or(X0,iPr_def_13))),X1)),true,theorem(X1),true) = true,
inference(demodulation,[status(thm)],[c_1685,c_124]) ).
tcf(c_5344,plain,
theorem(or(not(or(iPr_def_18,iPr_def_20)),or(not(or(iPr_def_11,iPr_def_17)),iPr_def_21))) = true,
inference(superposition,[status(thm)],[c_111,c_1186]) ).
tcf(c_7619,plain,
ifeq(true,true,theorem(or(iPr_def_15,or(not(iPr_def_18),iPr_def_18))),true) = true,
inference(superposition,[status(thm)],[c_1013,c_2301]) ).
tcf(c_8586,plain,
theorem(or(iPr_def_15,or(not(iPr_def_18),iPr_def_18))) = true,
inference(superposition,[status(thm)],[c_124,c_7619]) ).
tcf(c_9323,plain,
ifeq(true,true,theorem(or(not(iPr_def_18),iPr_def_18)),true) = true,
inference(superposition,[status(thm)],[c_8586,c_1329]) ).
tcf(c_10392,plain,
theorem(or(not(iPr_def_18),iPr_def_18)) = true,
inference(superposition,[status(thm)],[c_124,c_9323]) ).
tcf(c_11543,plain,
! [X0: $i] : ifeq(theorem(or(not(or(not(iPr_def_18),iPr_def_18)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_10392,c_117]) ).
tcf(c_12447,plain,
! [X0: $i] : ifeq(theorem(or(not(or(not(iPr_def_18),iPr_def_18)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_11543,c_124]) ).
tcf(c_12838,plain,
ifeq(true,true,theorem(or(iPr_def_18,not(iPr_def_18))),true) = true,
inference(superposition,[status(thm)],[c_487,c_12447]) ).
tcf(c_12842,plain,
ifeq(true,true,theorem(or(iPr_def_20,iPr_def_19)),true) = true,
inference(superposition,[status(thm)],[c_2049,c_12447]) ).
tcf(c_13541,plain,
theorem(or(iPr_def_20,iPr_def_19)) = true,
inference(superposition,[status(thm)],[c_124,c_12842]) ).
tcf(c_13634,plain,
theorem(or(iPr_def_18,not(iPr_def_18))) = true,
inference(superposition,[status(thm)],[c_124,c_12838]) ).
tcf(c_13983,plain,
! [X0: $i] : ifeq(true,true,theorem(or(X0,or(iPr_def_16,iPr_def_13))),true) = true,
inference(superposition,[status(thm)],[c_633,c_2316]) ).
tcf(c_14394,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_20,iPr_def_19)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_13541,c_117]) ).
tcf(c_14436,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_18,not(iPr_def_18))),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_13634,c_117]) ).
tcf(c_14648,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_16,iPr_def_13))) = true,
inference(superposition,[status(thm)],[c_13983,c_124]) ).
tcf(c_15322,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_20,iPr_def_19)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_14394,c_124]) ).
tcf(c_15327,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_18,not(iPr_def_18))),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_14436,c_124]) ).
tcf(c_15839,plain,
ifeq(true,true,theorem(or(iPr_def_15,or(iPr_def_20,iPr_def_18))),true) = true,
inference(superposition,[status(thm)],[c_1013,c_15322]) ).
tcf(c_16221,plain,
ifeq(true,true,theorem(or(iPr_def_16,iPr_def_13)),true) = true,
inference(superposition,[status(thm)],[c_14648,c_15327]) ).
tcf(c_16948,plain,
theorem(or(iPr_def_16,iPr_def_13)) = true,
inference(superposition,[status(thm)],[c_124,c_16221]) ).
tcf(c_16968,plain,
theorem(or(iPr_def_15,or(iPr_def_20,iPr_def_18))) = true,
inference(superposition,[status(thm)],[c_124,c_15839]) ).
tcf(c_18206,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_16,iPr_def_13)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_16948,c_117]) ).
tcf(c_18254,plain,
ifeq(true,true,theorem(or(iPr_def_20,iPr_def_18)),true) = true,
inference(superposition,[status(thm)],[c_16968,c_1329]) ).
tcf(c_19810,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_16,iPr_def_13)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_18206,c_124]) ).
tcf(c_20393,plain,
theorem(or(iPr_def_20,iPr_def_18)) = true,
inference(superposition,[status(thm)],[c_124,c_18254]) ).
tcf(c_20823,plain,
ifeq(true,true,theorem(or(p,iPr_def_17)),true) = true,
inference(superposition,[status(thm)],[c_1985,c_19810]) ).
tcf(c_21224,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_20,iPr_def_18)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_20393,c_117]) ).
tcf(c_21500,plain,
theorem(or(p,iPr_def_17)) = true,
inference(superposition,[status(thm)],[c_124,c_20823]) ).
tcf(c_22214,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_20,iPr_def_18)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_21224,c_124]) ).
tcf(c_22305,plain,
! [X0: $i] : ifeq(theorem(or(not(or(p,iPr_def_17)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_21500,c_117]) ).
tcf(c_23165,plain,
! [X0: $i] : ifeq(theorem(or(not(or(p,iPr_def_17)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_22305,c_124]) ).
tcf(c_23656,plain,
ifeq(true,true,theorem(or(iPr_def_18,iPr_def_20)),true) = true,
inference(superposition,[status(thm)],[c_487,c_22214]) ).
tcf(c_24548,plain,
theorem(or(iPr_def_18,iPr_def_20)) = true,
inference(superposition,[status(thm)],[c_124,c_23656]) ).
tcf(c_25031,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_18,iPr_def_20)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_24548,c_117]) ).
tcf(c_25287,plain,
ifeq(true,true,theorem(or(iPr_def_17,p)),true) = true,
inference(superposition,[status(thm)],[c_487,c_23165]) ).
tcf(c_26046,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_18,iPr_def_20)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_25031,c_124]) ).
tcf(c_26282,plain,
theorem(or(iPr_def_17,p)) = true,
inference(superposition,[status(thm)],[c_124,c_25287]) ).
tcf(c_26814,plain,
! [X0: $i,X1: $i] : ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true) = true,
inference(superposition,[status(thm)],[c_811,c_124]) ).
tcf(c_27130,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_17,p)),X0)),true,ifeq(true,true,theorem(X0),true),true) = true,
inference(superposition,[status(thm)],[c_26282,c_117]) ).
tcf(c_27780,plain,
! [X0: $i] : ifeq(theorem(or(not(or(iPr_def_17,p)),X0)),true,theorem(X0),true) = true,
inference(demodulation,[status(thm)],[c_27130,c_124]) ).
tcf(c_43130,plain,
ifeq(true,true,theorem(or(not(or(iPr_def_11,iPr_def_17)),iPr_def_21)),true) = true,
inference(superposition,[status(thm)],[c_5344,c_26046]) ).
tcf(c_43981,plain,
theorem(or(not(or(iPr_def_11,iPr_def_17)),iPr_def_21)) = true,
inference(superposition,[status(thm)],[c_124,c_43130]) ).
tcf(c_55656,plain,
! [X0: $i,X1: $i] : ifeq(true,true,ifeq(true,true,theorem(or(X0,or(not(X1),X1))),true),true) = true,
inference(superposition,[status(thm)],[c_390,c_983]) ).
tcf(c_56381,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))) = true,
inference(demodulation,[status(thm)],[c_55656,c_124]) ).
tcf(c_59419,plain,
! [X0: $i] : ifeq(true,true,theorem(or(not(X0),X0)),true) = true,
inference(superposition,[status(thm)],[c_56381,c_2269]) ).
tcf(c_65678,plain,
! [X0: $i] : theorem(or(not(X0),X0)) = true,
inference(superposition,[status(thm)],[c_59419,c_124]) ).
tcf(c_66718,plain,
! [X0: $i] : ifeq(true,true,theorem(or(X0,not(X0))),true) = true,
inference(superposition,[status(thm)],[c_65678,c_26814]) ).
tcf(c_68792,plain,
! [X0: $i] : theorem(or(X0,not(X0))) = true,
inference(superposition,[status(thm)],[c_66718,c_124]) ).
tcf(c_72915,plain,
! [X0: $i,X1: $i] : ifeq(true,true,ifeq(true,true,theorem(or(not(or(X0,X1)),or(X0,not(not(X1))))),true),true) = true,
inference(superposition,[status(thm)],[c_68792,c_1087]) ).
tcf(c_73129,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1))))) = true,
inference(demodulation,[status(thm)],[c_72915,c_124]) ).
tcf(c_76619,plain,
ifeq(true,true,theorem(or(iPr_def_17,not(not(p)))),true) = true,
inference(superposition,[status(thm)],[c_73129,c_27780]) ).
tcf(c_77021,plain,
ifeq(true,true,theorem(or(iPr_def_17,iPr_def_11)),true) = true,
inference(light_normalisation,[status(thm)],[c_76619,c_103,c_104]) ).
tcf(c_80015,plain,
theorem(or(iPr_def_17,iPr_def_11)) = true,
inference(superposition,[status(thm)],[c_124,c_77021]) ).
tcf(c_80407,plain,
ifeq(true,true,theorem(or(iPr_def_11,iPr_def_17)),true) = true,
inference(superposition,[status(thm)],[c_80015,c_26814]) ).
tcf(c_82363,plain,
theorem(or(iPr_def_11,iPr_def_17)) = true,
inference(superposition,[status(thm)],[c_124,c_80407]) ).
tcf(c_83825,plain,
ifeq(theorem(or(not(or(iPr_def_11,iPr_def_17)),iPr_def_21)),true,ifeq(true,true,iPr_def_22,true),true) = true,
inference(superposition,[status(thm)],[c_82363,c_226]) ).
tcf(c_84491,plain,
ifeq(theorem(or(not(or(iPr_def_11,iPr_def_17)),iPr_def_21)),true,iPr_def_22,true) = true,
inference(demodulation,[status(thm)],[c_83825,c_124]) ).
tcf(c_84492,plain,
ifeq(true,true,iPr_def_22,true) = true,
inference(light_normalisation,[status(thm)],[c_84491,c_43981]) ).
tcf(c_84493,plain,
true = iPr_def_22,
inference(demodulation,[status(thm)],[c_84492,c_124]) ).
tcf(c_85848,plain,
iPr_def_22 != iPr_def_22,
inference(demodulation,[status(thm)],[c_116,c_84493]) ).
tcf(c_85850,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_85848]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL306-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 22:50:56 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running UEQ theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 272.70/36.90 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 272.70/36.90 % SZS status Started for theBenchmark.p
% 272.70/36.90 % SZS status Unsatisfiable for theBenchmark.p
% 272.70/36.90
% 272.70/36.90 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 272.70/36.90
% 272.70/36.90 % ------ iProver source info
% 272.70/36.90
% 272.70/36.90 % git: date: 2026-07-19 20:42:38 +0200
% 272.70/36.90 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 272.70/36.90 % git: non_committed_changes: false
% 272.70/36.90
% 272.70/36.90 % ------ Parsing...% successful
% 272.70/36.90
% 272.70/36.90
% 272.70/36.90 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 272.70/36.90
% 272.70/36.90 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 272.70/36.90
% 272.70/36.90 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 272.70/36.90
% 272.70/36.90 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 272.70/36.90 % ------ Proving...
% 272.70/36.90 % ------ Problem Properties
% 272.70/36.90
% 272.70/36.90 %
% 272.70/36.90 % clauses 22
% 272.70/36.90 % conjectures 1
% 272.70/36.90 % EPR 1
% 272.70/36.90 % Horn 22
% 272.70/36.90 % unary 22
% 272.70/36.90 % binary 0
% 272.70/36.90 % lits 22
% 272.70/36.90 % lits eq 22
% 272.70/36.90 % fd_pure 0
% 272.70/36.90 % fd_pseudo 0
% 272.70/36.90 % fd_cond 0
% 272.70/36.90 % fd_pseudo_cond 0
% 272.70/36.90 % AC symbols 0
% 272.70/36.90
% 272.70/36.90 % ------ Input Options Time Limit: Unbounded
% 272.70/36.90
% 272.70/36.90
% 272.70/36.90 % ------
% 272.70/36.90 % Current options:
% 272.70/36.90 % ------
% 272.70/36.90
% 272.70/36.90
% 272.70/36.90 %
% 272.70/36.90
% 272.70/36.90 % ------ Proving...
% 272.70/36.90 %
% 272.70/36.90
% 272.70/36.90 % SZS status Unsatisfiable for theBenchmark.p
% 272.70/36.90
% 272.70/36.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 272.70/36.91
% 272.70/36.91
%------------------------------------------------------------------------------