%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KLE079+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 01:52:21 PM UTC 2026
% Result : Theorem 3.98s 1.28s
% Output : CNFRefutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 18
% Syntax : Number of formulae : 111 ( 107 unt; 3 def)
% Number of atoms : 264 ( 118 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 123 ( 0 sgn 122 !; 1 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(f13,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain1) ).
fof(f14,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain2) ).
fof(f17,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain5) ).
fof(f18,conjecture,
! [X0] :
( ! [X1] :
( multiplication(domain(X1),antidomain(X1)) = zero
& addition(domain(X1),antidomain(X1)) = one )
=> multiplication(antidomain(X0),domain(X0)) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( multiplication(domain(X1),antidomain(X1)) = zero
& addition(domain(X1),antidomain(X1)) = one )
=> multiplication(antidomain(X0),domain(X0)) = zero ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0] :
( ! [X1] :
( multiplication(domain(X1),antidomain(X1)) = zero
& addition(domain(X1),antidomain(X1)) = one )
& zero != multiplication(antidomain(X0),domain(X0)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
( ! [X1] :
( multiplication(domain(X1),antidomain(X1)) = zero
& addition(domain(X1),antidomain(X1)) = one )
& zero != multiplication(antidomain(sK0),domain(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
fof(f22,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f23,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f27,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f29,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f32,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f33,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f34,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f14]) ).
fof(f37,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
! [X1] : zero = multiplication(domain(X1),antidomain(X1)),
inference(cnf_transformation,[],[f21]) ).
fof(f39,plain,
! [X1] : one = addition(domain(X1),antidomain(X1)),
inference(cnf_transformation,[],[f21]) ).
fof(f40,plain,
zero != multiplication(antidomain(sK0),domain(sK0)),
inference(cnf_transformation,[],[f21]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f22]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f23]) ).
tcf(c_51,plain,
! [X0: $i] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f24]) ).
tcf(c_52,plain,
! [X0: $i] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f25]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f26]) ).
tcf(c_54,plain,
! [X0: $i] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f27]) ).
tcf(c_55,plain,
! [X0: $i] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f28]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f29]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] : addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f30]) ).
tcf(c_58,plain,
! [X0: $i] : multiplication(X0,zero) = zero,
inference(cnf_transformation,[],[f31]) ).
tcf(c_59,plain,
! [X0: $i] : multiplication(zero,X0) = zero,
inference(cnf_transformation,[],[f32]) ).
tcf(c_60,plain,
! [X0: $i] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(cnf_transformation,[],[f33]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
inference(cnf_transformation,[],[f34]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] : addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
inference(cnf_transformation,[],[f37]) ).
tcf(c_65,negated_conjecture,
multiplication(antidomain(sK0),domain(sK0)) != zero,
inference(cnf_transformation,[],[f40]) ).
tcf(c_66,negated_conjecture,
! [X0: $i] : addition(domain(X0),antidomain(X0)) = one,
inference(cnf_transformation,[],[f39]) ).
tcf(c_67,negated_conjecture,
! [X0: $i] : multiplication(domain(X0),antidomain(X0)) = zero,
inference(cnf_transformation,[],[f38]) ).
tcf(c_129,definition,
iPr_def_10 = antidomain(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_130,definition,
iPr_def_11 = domain(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_131,definition,
iPr_def_12 = multiplication(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_132,negated_conjecture,
! [X0: $i] : multiplication(domain(X0),antidomain(X0)) = zero,
inference(demodulation,[status(thm)],[c_67]) ).
tcf(c_133,negated_conjecture,
! [X0: $i] : addition(domain(X0),antidomain(X0)) = one,
inference(demodulation,[status(thm)],[c_66]) ).
tcf(c_134,negated_conjecture,
iPr_def_12 != zero,
inference(demodulation,[status(thm)],[c_65,c_130,c_129,c_131]) ).
tcf(c_220,plain,
addition(domain(sK0),iPr_def_10) = one,
inference(superposition,[status(thm)],[c_129,c_133]) ).
tcf(c_221,plain,
multiplication(domain(sK0),iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_129,c_132]) ).
tcf(c_222,plain,
multiplication(iPr_def_11,iPr_def_10) = zero,
inference(light_normalisation,[status(thm)],[c_221,c_130]) ).
tcf(c_223,plain,
addition(iPr_def_10,domain(sK0)) = one,
inference(theory_normalisation,[status(thm)],[c_220,c_50,c_49]) ).
tcf(c_224,plain,
addition(iPr_def_10,iPr_def_11) = one,
inference(light_normalisation,[status(thm)],[c_223,c_130]) ).
tcf(c_227,plain,
! [X0: $i] : multiplication(domain(X0),antidomain(X0)) = multiplication(iPr_def_11,iPr_def_10),
inference(demodulation,[status(thm)],[c_132,c_222]) ).
tcf(c_228,plain,
multiplication(iPr_def_11,iPr_def_10) != iPr_def_12,
inference(demodulation,[status(thm)],[c_134,c_222]) ).
tcf(c_229,plain,
! [X0: $i] : addition(domain(X0),antidomain(X0)) = addition(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_133,c_224]) ).
tcf(c_233,plain,
! [X0: $i] : addition(X0,multiplication(iPr_def_11,iPr_def_10)) = X0,
inference(light_normalisation,[status(thm)],[c_51,c_222]) ).
tcf(c_234,plain,
! [X0: $i] : multiplication(X0,addition(iPr_def_10,iPr_def_11)) = X0,
inference(light_normalisation,[status(thm)],[c_54,c_224]) ).
tcf(c_235,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_10),multiplication(X0,iPr_def_11)) = X0,
inference(demodulation,[status(thm)],[c_234,c_56]) ).
tcf(c_236,plain,
! [X0: $i] : multiplication(addition(iPr_def_10,iPr_def_11),X0) = X0,
inference(light_normalisation,[status(thm)],[c_55,c_224]) ).
tcf(c_237,plain,
! [X0: $i] : addition(multiplication(iPr_def_10,X0),multiplication(iPr_def_11,X0)) = X0,
inference(demodulation,[status(thm)],[c_236,c_57]) ).
tcf(c_238,plain,
multiplication(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_233,c_237]) ).
tcf(c_240,plain,
! [X0: $i] : multiplication(X0,multiplication(iPr_def_11,iPr_def_10)) = multiplication(iPr_def_11,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_58,c_222]) ).
tcf(c_244,plain,
! [X0: $i] : multiplication(multiplication(iPr_def_11,iPr_def_10),X0) = multiplication(iPr_def_11,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_59,c_222]) ).
tcf(c_245,plain,
! [X0: $i] : multiplication(iPr_def_11,multiplication(iPr_def_10,X0)) = multiplication(iPr_def_11,iPr_def_10),
inference(demodulation,[status(thm)],[c_244,c_53]) ).
tcf(c_248,plain,
addition(multiplication(iPr_def_10,iPr_def_10),iPr_def_12) = iPr_def_10,
inference(superposition,[status(thm)],[c_131,c_235]) ).
tcf(c_249,plain,
multiplication(iPr_def_11,iPr_def_10) = multiplication(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_131,c_245]) ).
tcf(c_250,plain,
addition(iPr_def_12,multiplication(iPr_def_11,iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_131,c_237]) ).
tcf(c_251,plain,
addition(iPr_def_12,multiplication(iPr_def_10,iPr_def_10)) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_248,c_50,c_49]) ).
tcf(c_252,plain,
addition(iPr_def_12,iPr_def_10) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_251,c_238]) ).
tcf(c_253,plain,
addition(iPr_def_10,iPr_def_12) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_252,c_50,c_49]) ).
tcf(c_294,plain,
! [X0: $i] : addition(multiplication(iPr_def_11,iPr_def_10),X0) = X0,
inference(superposition,[status(thm)],[c_233,c_49]) ).
tcf(c_300,plain,
! [X0: $i] : domain(multiplication(X0,sK0)) = domain(multiplication(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_130,c_61]) ).
tcf(c_316,plain,
! [X0: $i,X1: $i] : multiplication(addition(domain(X0),domain(X1)),antidomain(addition(X0,X1))) = multiplication(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_64,c_227]) ).
tcf(c_324,plain,
! [X0: $i,X1: $i] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
tcf(c_360,plain,
multiplication(iPr_def_11,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_294,c_235]) ).
tcf(c_362,plain,
addition(iPr_def_12,iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_250,c_360]) ).
tcf(c_363,plain,
addition(iPr_def_11,iPr_def_12) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_362,c_50,c_49]) ).
tcf(c_472,plain,
! [X0: $i,X1: $i] : addition(multiplication(domain(X0),antidomain(addition(X0,X1))),multiplication(domain(X1),antidomain(addition(X0,X1)))) = multiplication(iPr_def_11,iPr_def_10),
inference(demodulation,[status(thm)],[c_316,c_57]) ).
tcf(c_571,plain,
! [X0: $i] : multiplication(iPr_def_10,multiplication(iPr_def_11,X0)) = multiplication(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_131,c_53]) ).
tcf(c_614,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_10),multiplication(X0,iPr_def_12)) = multiplication(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_253,c_56]) ).
tcf(c_647,plain,
! [X0: $i,X1: $i] : addition(multiplication(domain(X0),X1),multiplication(antidomain(X0),X1)) = multiplication(addition(iPr_def_10,iPr_def_11),X1),
inference(superposition,[status(thm)],[c_229,c_57]) ).
tcf(c_691,plain,
! [X0: $i] : addition(multiplication(X0,iPr_def_11),multiplication(X0,iPr_def_12)) = multiplication(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_363,c_56]) ).
tcf(c_776,plain,
! [X0: $i,X1: $i] : addition(multiplication(domain(X0),X1),multiplication(antidomain(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_647,c_57,c_237]) ).
tcf(c_918,plain,
! [X0: $i] : addition(multiplication(iPr_def_10,X0),X0) = X0,
inference(superposition,[status(thm)],[c_237,c_324]) ).
tcf(c_930,plain,
! [X0: $i,X1: $i] : addition(multiplication(domain(X0),X1),X1) = X1,
inference(superposition,[status(thm)],[c_776,c_324]) ).
tcf(c_941,plain,
! [X0: $i] : addition(X0,multiplication(iPr_def_10,X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_918,c_50,c_49]) ).
tcf(c_943,plain,
! [X0: $i,X1: $i] : addition(X0,multiplication(domain(X1),X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_930,c_50,c_49]) ).
tcf(c_964,plain,
! [X0: $i] : multiplication(domain(X0),X0) = X0,
inference(demodulation,[status(thm)],[c_60,c_943]) ).
tcf(c_1310,plain,
! [X0: $i] : addition(multiplication(domain(X0),antidomain(X0)),multiplication(domain(multiplication(iPr_def_10,X0)),antidomain(X0))) = multiplication(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_941,c_472]) ).
tcf(c_1322,plain,
! [X0: $i] : addition(multiplication(iPr_def_11,iPr_def_10),multiplication(domain(multiplication(iPr_def_10,X0)),antidomain(X0))) = multiplication(iPr_def_11,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_1310,c_227]) ).
tcf(c_1347,plain,
! [X0: $i] : multiplication(domain(multiplication(iPr_def_10,X0)),antidomain(X0)) = multiplication(iPr_def_11,iPr_def_10),
inference(demodulation,[status(thm)],[c_1322,c_294]) ).
tcf(c_1349,plain,
multiplication(domain(multiplication(iPr_def_10,iPr_def_11)),antidomain(sK0)) = multiplication(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_300,c_1347]) ).
tcf(c_1364,plain,
multiplication(domain(iPr_def_12),iPr_def_10) = multiplication(iPr_def_11,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_1349,c_129,c_131]) ).
tcf(c_3979,plain,
addition(multiplication(domain(iPr_def_12),iPr_def_10),iPr_def_12) = multiplication(domain(iPr_def_12),iPr_def_10),
inference(superposition,[status(thm)],[c_964,c_614]) ).
tcf(c_4001,plain,
addition(iPr_def_12,multiplication(domain(iPr_def_12),iPr_def_10)) = multiplication(domain(iPr_def_12),iPr_def_10),
inference(theory_normalisation,[status(thm)],[c_3979,c_50,c_49]) ).
tcf(c_4002,plain,
addition(iPr_def_12,multiplication(iPr_def_11,iPr_def_10)) = multiplication(iPr_def_11,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_4001,c_1364]) ).
tcf(c_4016,plain,
addition(multiplication(iPr_def_10,multiplication(iPr_def_11,iPr_def_11)),multiplication(iPr_def_12,iPr_def_12)) = multiplication(iPr_def_10,multiplication(iPr_def_11,iPr_def_11)),
inference(superposition,[status(thm)],[c_571,c_691]) ).
tcf(c_4046,plain,
addition(iPr_def_12,multiplication(iPr_def_12,iPr_def_12)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_4016,c_131,c_360]) ).
tcf(c_4050,plain,
multiplication(iPr_def_11,iPr_def_10) = iPr_def_12,
inference(demodulation,[status(thm)],[c_4046,c_240,c_249,c_571,c_4002]) ).
tcf(c_4051,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4050,c_228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE079+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 18:51:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 3.98/1.28 % SZS status Started for theBenchmark.p
% 3.98/1.28 % SZS status Theorem for theBenchmark.p
% 3.98/1.28
% 3.98/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.98/1.28
% 3.98/1.28 % ------ iProver source info
% 3.98/1.28
% 3.98/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.98/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.98/1.28 % git: non_committed_changes: false
% 3.98/1.28
% 3.98/1.28 % ------ Parsing...
% 3.98/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_UEQ
% 3.98/1.28 %
% 3.98/1.28
% 3.98/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.98/1.28
% 3.98/1.28 % ------ Preprocessing...% ------ preprocesses with Option_UEQ
% 3.98/1.28 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.98/1.28
% 3.98/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.98/1.28 % ------ Proving...
% 3.98/1.28 % ------ Problem Properties
% 3.98/1.28
% 3.98/1.28 %
% 3.98/1.28 % clauses 22
% 3.98/1.28 % conjectures 3
% 3.98/1.28 % EPR 1
% 3.98/1.28 % Horn 22
% 3.98/1.28 % unary 22
% 3.98/1.28 % binary 0
% 3.98/1.28 % lits 22
% 3.98/1.28 % lits eq 22
% 3.98/1.28 % fd_pure 0
% 3.98/1.28 % fd_pseudo 0
% 3.98/1.28 % fd_cond 0
% 3.98/1.28 % fd_pseudo_cond 0
% 3.98/1.28 % AC symbols 1
% 3.98/1.28
% 3.98/1.28 % ------ Schedule UEQ
% 3.98/1.28
% 3.98/1.28 % ------ Option_UEQ Time Limit: 10.
% 3.98/1.28
% 3.98/1.28
% 3.98/1.28 % ------
% 3.98/1.28 % Current options:
% 3.98/1.28 % ------
% 3.98/1.28
% 3.98/1.28
% 3.98/1.28 %
% 3.98/1.28
% 3.98/1.28 % ------ Proving...
% 3.98/1.28 %
% 3.98/1.28
% 3.98/1.28 % SZS status Theorem for theBenchmark.p
% 3.98/1.28
% 3.98/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.98/1.28
% 3.98/1.28
%------------------------------------------------------------------------------