%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : KLE044+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.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 01:52:16 PM UTC 2026
% Result : Theorem 6.57s 11.77s
% Output : CNFRefutation 6.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 17
% Syntax : Number of formulae : 115 ( 86 unt; 3 def)
% Number of atoms : 315 ( 77 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 88 ( 45 ~; 38 |; 3 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 122 ( 0 sgn 121 !; 1 ?; 76 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_left_identity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_left) ).
fof(f15,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X1)
=> leq(multiplication(star(X0),X2),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_left) ).
fof(f17,conjecture,
! [X0] :
( leq(star(X0),star(addition(one,X0)))
& leq(star(addition(one,X0)),star(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] :
( leq(star(X0),star(addition(one,X0)))
& leq(star(addition(one,X0)),star(X0)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0] :
( ~ leq(star(X0),star(addition(one,X0)))
| ~ leq(star(addition(one,X0)),star(X0)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
! [X0,X1] :
( ( ~ leq(X0,X1)
| addition(X0,X1) = X1 )
& ( addition(X0,X1) != X1
| leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
( ~ leq(star(sK0),star(addition(one,sK0)))
| ~ leq(star(addition(one,sK0)),star(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21]) ).
fof(f24,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f32,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f38,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f41,plain,
( ~ leq(star(sK0),star(addition(one,sK0)))
| ~ leq(star(addition(one,sK0)),star(sK0)) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f24]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f25]) ).
tcf(c_52,plain,
! [X0: $i] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f27]) ).
tcf(c_54,plain,
! [X0: $i] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f29]) ).
tcf(c_55,plain,
! [X0: $i] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f30]) ).
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,[],[f32]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ( addition(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( ( addition(X0,X1) = X1 )
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_62,plain,
! [X0: $i] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f37]) ).
tcf(c_63,plain,
! [X0: $i] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f38]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_66,negated_conjecture,
( ~ leq(star(sK0),star(addition(one,sK0)))
| ~ leq(star(addition(one,sK0)),star(sK0)) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_194,definition,
iPr_def_10 = addition(one,sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_195,definition,
iPr_def_11 = star(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_196,definition,
iPr_def_12 = star(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_197,negated_conjecture,
( ~ leq(iPr_def_12,iPr_def_11)
| ~ leq(iPr_def_11,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_66,c_196,c_194,c_195]) ).
tcf(c_198,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_200,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X0,X2)
| ~ leq(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_510,plain,
leq(addition(one,multiplication(sK0,iPr_def_12)),iPr_def_12),
inference(superposition,[status(thm)],[c_196,c_62]) ).
tcf(c_511,plain,
leq(addition(one,multiplication(iPr_def_10,iPr_def_11)),iPr_def_11),
inference(superposition,[status(thm)],[c_195,c_62]) ).
tcf(c_513,plain,
leq(addition(multiplication(iPr_def_10,iPr_def_11),one),iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_511,c_50,c_49]) ).
tcf(c_519,plain,
leq(addition(one,multiplication(iPr_def_12,sK0)),iPr_def_12),
inference(superposition,[status(thm)],[c_196,c_63]) ).
tcf(c_520,plain,
leq(addition(one,multiplication(iPr_def_11,iPr_def_10)),iPr_def_11),
inference(superposition,[status(thm)],[c_195,c_63]) ).
tcf(c_522,plain,
leq(addition(multiplication(iPr_def_11,iPr_def_10),one),iPr_def_11),
inference(theory_normalisation,[status(thm)],[c_520,c_50,c_49]) ).
tcf(c_560,plain,
! [X0: $i,X1: $i] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_52,c_50]) ).
tcf(c_582,plain,
addition(addition(one,multiplication(sK0,iPr_def_12)),iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_510,c_61]) ).
tcf(c_583,plain,
addition(addition(multiplication(iPr_def_10,iPr_def_11),one),iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_513,c_61]) ).
tcf(c_584,plain,
addition(addition(one,multiplication(iPr_def_12,sK0)),iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_519,c_61]) ).
tcf(c_585,plain,
addition(addition(multiplication(iPr_def_11,iPr_def_10),one),iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_522,c_61]) ).
tcf(c_588,plain,
addition(iPr_def_11,addition(multiplication(iPr_def_11,iPr_def_10),one)) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_585,c_50,c_49]) ).
tcf(c_589,plain,
addition(iPr_def_12,addition(one,multiplication(iPr_def_12,sK0))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_584,c_50,c_49]) ).
tcf(c_590,plain,
addition(iPr_def_11,addition(multiplication(iPr_def_10,iPr_def_11),one)) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_583,c_50,c_49]) ).
tcf(c_591,plain,
addition(iPr_def_12,addition(one,multiplication(sK0,iPr_def_12))) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_582,c_50,c_49]) ).
tcf(c_618,plain,
! [X0: $i,X1: $i] :
( leq(iPr_def_11,iPr_def_12)
| ~ leq(X0,X1)
| ( iPr_def_12 != X1 )
| ( iPr_def_11 != X0 ) ),
inference(instantiation,[status(thm)],[c_203]) ).
tcf(c_653,plain,
iPr_def_11 = iPr_def_11,
inference(instantiation,[status(thm)],[c_198]) ).
tcf(c_655,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_11 = X0 )
| ( iPr_def_11 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_200]) ).
tcf(c_666,plain,
! [X0: $i] : addition(multiplication(one,X0),multiplication(sK0,X0)) = multiplication(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_194,c_57]) ).
tcf(c_677,plain,
! [X0: $i] : addition(X0,multiplication(sK0,X0)) = multiplication(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_666,c_55]) ).
tcf(c_734,plain,
addition(one,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_194,c_560]) ).
tcf(c_737,plain,
! [X0: $i,X1: $i] : leq(X0,addition(X0,X1)),
inference(superposition,[status(thm)],[c_560,c_60]) ).
tcf(c_741,plain,
addition(iPr_def_10,one) = iPr_def_10,
inference(theory_normalisation,[status(thm)],[c_734,c_50,c_49]) ).
tcf(c_779,plain,
! [X0: $i,X1: $i] : leq(X0,addition(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_737]) ).
tcf(c_781,plain,
! [X0: $i,X1: $i,X2: $i] : leq(addition(X0,X1),addition(X0,addition(X1,X2))),
inference(superposition,[status(thm)],[c_50,c_737]) ).
tcf(c_794,plain,
! [X0: $i,X1: $i,X2: $i] : leq(X0,addition(X1,addition(X2,X0))),
inference(superposition,[status(thm)],[c_50,c_779]) ).
tcf(c_812,plain,
! [X0: $i] : addition(multiplication(iPr_def_10,X0),multiplication(one,X0)) = multiplication(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_741,c_57]) ).
tcf(c_815,plain,
! [X0: $i] : addition(multiplication(iPr_def_10,X0),X0) = multiplication(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_812,c_55]) ).
tcf(c_816,plain,
! [X0: $i] : addition(X0,multiplication(iPr_def_10,X0)) = multiplication(iPr_def_10,X0),
inference(theory_normalisation,[status(thm)],[c_815,c_50,c_49]) ).
tcf(c_908,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(multiplication(star(X1),X0),X2)
| ~ leq(addition(X0,multiplication(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_49,c_64]) ).
tcf(c_958,plain,
iPr_def_12 = iPr_def_12,
inference(instantiation,[status(thm)],[c_198]) ).
tcf(c_966,plain,
! [X0: $i] :
( ( iPr_def_11 = X0 )
| ( iPr_def_11 != iPr_def_11 )
| ( X0 != iPr_def_11 ) ),
inference(instantiation,[status(thm)],[c_655]) ).
tcf(c_1096,plain,
! [X0: $i,X1: $i,X2: $i] : leq(X0,addition(X1,addition(X0,X2))),
inference(superposition,[status(thm)],[c_49,c_794]) ).
tcf(c_1098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : leq(X0,addition(X1,addition(X2,addition(X3,X0)))),
inference(superposition,[status(thm)],[c_50,c_794]) ).
tcf(c_1501,plain,
! [X0: $i,X1: $i,X2: $i] : leq(addition(X0,X1),addition(X1,addition(X0,X2))),
inference(superposition,[status(thm)],[c_49,c_781]) ).
tcf(c_1518,plain,
! [X0: $i,X1: $i,X2: $i] : leq(addition(X0,X1),addition(X0,addition(X2,X1))),
inference(superposition,[status(thm)],[c_49,c_781]) ).
tcf(c_1626,plain,
( ( iPr_def_11 = multiplication(iPr_def_11,one) )
| ( iPr_def_11 != iPr_def_11 )
| ( multiplication(iPr_def_11,one) != iPr_def_11 ) ),
inference(instantiation,[status(thm)],[c_966]) ).
tcf(c_1627,plain,
multiplication(iPr_def_11,one) = iPr_def_11,
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_3873,plain,
leq(one,iPr_def_11),
inference(superposition,[status(thm)],[c_588,c_794]) ).
tcf(c_3875,plain,
! [X0: $i] : leq(one,addition(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_588,c_1098]) ).
tcf(c_3974,plain,
addition(one,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_3873,c_61]) ).
tcf(c_3975,plain,
addition(iPr_def_11,one) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_3974,c_50,c_49]) ).
tcf(c_4003,plain,
! [X0: $i] : leq(addition(X0,one),addition(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_3975,c_1518]) ).
tcf(c_4172,plain,
leq(addition(one,iPr_def_12),iPr_def_12),
inference(superposition,[status(thm)],[c_589,c_1501]) ).
tcf(c_4173,plain,
leq(one,iPr_def_12),
inference(superposition,[status(thm)],[c_589,c_1096]) ).
tcf(c_4181,plain,
leq(addition(iPr_def_12,one),iPr_def_12),
inference(theory_normalisation,[status(thm)],[c_4172,c_50,c_49]) ).
tcf(c_4246,plain,
addition(one,iPr_def_12) = iPr_def_12,
inference(superposition,[status(thm)],[c_4173,c_61]) ).
tcf(c_4247,plain,
addition(iPr_def_12,one) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_4246,c_50,c_49]) ).
tcf(c_4248,plain,
! [X0: $i] : leq(one,addition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_49,c_3875]) ).
tcf(c_4276,plain,
! [X0: $i] : addition(one,addition(iPr_def_11,X0)) = addition(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_4248,c_61]) ).
tcf(c_4277,plain,
! [X0: $i] : addition(iPr_def_11,addition(X0,one)) = addition(iPr_def_11,X0),
inference(theory_normalisation,[status(thm)],[c_4276,c_50,c_49]) ).
tcf(c_4302,plain,
! [X0: $i] : addition(iPr_def_12,addition(one,X0)) = addition(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_4247,c_50]) ).
tcf(c_4455,plain,
! [X0: $i] : leq(addition(X0,one),addition(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_49,c_4003]) ).
tcf(c_4827,plain,
! [X0: $i] :
( leq(iPr_def_11,iPr_def_12)
| ~ leq(multiplication(iPr_def_11,one),X0)
| ( iPr_def_12 != X0 )
| ( iPr_def_11 != multiplication(iPr_def_11,one) ) ),
inference(instantiation,[status(thm)],[c_618]) ).
tcf(c_5510,plain,
multiplication(iPr_def_10,iPr_def_11) = iPr_def_11,
inference(demodulation,[status(thm)],[c_590,c_816,c_4277]) ).
tcf(c_5545,plain,
multiplication(iPr_def_10,iPr_def_12) = iPr_def_12,
inference(demodulation,[status(thm)],[c_591,c_677,c_4302]) ).
tcf(c_5549,plain,
! [X0: $i] :
( leq(multiplication(star(iPr_def_10),X0),iPr_def_12)
| ~ leq(addition(iPr_def_12,X0),iPr_def_12) ),
inference(superposition,[status(thm)],[c_5545,c_64]) ).
tcf(c_5553,plain,
! [X0: $i] :
( leq(multiplication(iPr_def_11,X0),iPr_def_12)
| ~ leq(addition(iPr_def_12,X0),iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_5549,c_195]) ).
tcf(c_5560,plain,
( leq(multiplication(iPr_def_11,one),iPr_def_12)
| ~ leq(addition(iPr_def_12,one),iPr_def_12) ),
inference(instantiation,[status(thm)],[c_5553]) ).
tcf(c_9486,plain,
leq(addition(multiplication(sK0,iPr_def_11),one),multiplication(iPr_def_10,iPr_def_11)),
inference(superposition,[status(thm)],[c_677,c_4455]) ).
tcf(c_9568,plain,
leq(addition(one,multiplication(sK0,iPr_def_11)),multiplication(iPr_def_10,iPr_def_11)),
inference(theory_normalisation,[status(thm)],[c_9486,c_50,c_49]) ).
tcf(c_9569,plain,
leq(addition(one,multiplication(sK0,iPr_def_11)),iPr_def_11),
inference(light_normalisation,[status(thm)],[c_9568,c_5510]) ).
tcf(c_11551,plain,
leq(multiplication(star(sK0),one),iPr_def_11),
inference(superposition,[status(thm)],[c_9569,c_908]) ).
tcf(c_11552,plain,
leq(multiplication(iPr_def_12,one),iPr_def_11),
inference(light_normalisation,[status(thm)],[c_11551,c_196]) ).
tcf(c_11580,plain,
leq(iPr_def_12,iPr_def_11),
inference(demodulation,[status(thm)],[c_11552,c_54]) ).
tcf(c_11581,plain,
~ leq(iPr_def_11,iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_197,c_11580]) ).
tcf(c_16102,plain,
( leq(iPr_def_11,iPr_def_12)
| ~ leq(multiplication(iPr_def_11,one),iPr_def_12)
| ( iPr_def_12 != iPr_def_12 )
| ( iPr_def_11 != multiplication(iPr_def_11,one) ) ),
inference(instantiation,[status(thm)],[c_4827]) ).
tcf(c_16103,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16102,c_11581,c_5560,c_4181,c_1627,c_1626,c_958,c_653]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE044+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/10.40 % Computer : n018.cluster.edu
% 0.13/10.40 % Model : x86_64 x86_64
% 0.13/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.40 % Memory : 8046.5625MB
% 0.13/10.40 % OS : Linux 6.8.0-71-generic
% 0.13/10.40 % CPULimit : 300
% 0.13/10.40 % WCLimit : 300
% 0.13/10.40 % DateTime : Wed Sep 23 18:47:59 UTC 2026
% 0.13/10.40 % CPUTime :
% 0.13/10.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/10.44 Running first-order theorem proving
% 0.13/10.45 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
% 0.13/10.46
% 0.13/10.46 % ======== iProver multi-core TPTP/SMT =========
% 0.13/10.46
% 0.13/10.46 % Detected problem language: tptp
% 0.13/10.47 % Proving...
% 6.57/11.77 % SZS status Started for theBenchmark.p
% 6.57/11.77 % SZS status Theorem for theBenchmark.p
% 6.57/11.77
% 6.57/11.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.57/11.77
% 6.57/11.77 % ------ iProver source info
% 6.57/11.77
% 6.57/11.77 % git: date: 2026-07-19 20:42:38 +0200
% 6.57/11.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.57/11.77 % git: non_committed_changes: false
% 6.57/11.77
% 6.57/11.77 % ------ Parsing...
% 6.57/11.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.57/11.77
% 6.57/11.77 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 6.57/11.77
% 6.57/11.77 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.57/11.77
% 6.57/11.77 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.57/11.77 % ------ Proving...
% 6.57/11.77 % ------ Problem Properties
% 6.57/11.77
% 6.57/11.77 %
% 6.57/11.77 % clauses 21
% 6.57/11.77 % conjectures 1
% 6.57/11.77 % EPR 1
% 6.57/11.77 % Horn 21
% 6.57/11.77 % unary 16
% 6.57/11.77 % binary 5
% 6.57/11.77 % lits 26
% 6.57/11.77 % lits eq 16
% 6.57/11.77 % fd_pure 0
% 6.57/11.77 % fd_pseudo 0
% 6.57/11.77 % fd_cond 0
% 6.57/11.77 % fd_pseudo_cond 0
% 6.57/11.77 % AC symbols 1
% 6.57/11.77
% 6.57/11.77 % ------ Schedule dynamic 5 is on
% 6.57/11.77
% 6.57/11.77 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.57/11.77
% 6.57/11.77
% 6.57/11.77 % ------
% 6.57/11.77 % Current options:
% 6.57/11.77 % ------
% 6.57/11.77
% 6.57/11.77
% 6.57/11.77 %
% 6.57/11.77
% 6.57/11.77 % ------ Proving...
% 6.57/11.77 %
% 6.57/11.77
% 6.57/11.77 % SZS status Theorem for theBenchmark.p
% 6.57/11.77
% 6.57/11.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.57/11.77
% 6.57/11.77
%------------------------------------------------------------------------------