%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE041+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 : Tue Sep 29 11:40:44 AM UTC 2026
% Result : Theorem 49.71s 15.55s
% Output : Refutation 49.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 15
% Syntax : Number of formulae : 132 ( 110 unt; 0 def)
% Number of atoms : 156 ( 77 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 20 ~; 16 |; 3 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 178 ( 176 !; 2 ?)
% 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(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_identity) ).
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(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+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/sandbox2/benchmark/Axioms/KLE002+0.ax',left_distributivity) ).
fof(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',right_annihilation) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',left_annihilation) ).
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(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(f16,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X0)
=> leq(multiplication(X2,star(X1)),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_right) ).
fof(f17,conjecture,
! [X0,X1] :
( leq(X0,X1)
=> leq(star(X0),star(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( leq(X0,X1)
=> leq(star(X0),star(X1)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f20,plain,
! [X0,X1,X2] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f21,plain,
? [X0,X1] :
( ~ leq(star(X0),star(X1))
& leq(X0,X1) ),
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(sK1))
& leq(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[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(f26,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
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(f31,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f34,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
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(f39,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| leq(multiplication(X2,star(X1)),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
leq(sK0,sK1),
inference(cnf_transformation,[],[f23]) ).
fof(f42,plain,
~ leq(star(sK0),star(sK1)),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f24,f26]) ).
fof(f51,plain,
sK1 = addition(sK0,sK1),
inference(unit_resulting_resolution,[],[f35,f41]) ).
fof(f55,plain,
! [X0] : leq(X0,X0),
inference(unit_resulting_resolution,[],[f36,f27]) ).
fof(f112,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f37,f35]) ).
fof(f114,plain,
leq(addition(one,zero),star(zero)),
inference(superposition,[],[f37,f34]) ).
fof(f117,plain,
leq(one,star(zero)),
inference(forward_demodulation,[],[f114,f26]) ).
fof(f118,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f112,f24]) ).
fof(f121,plain,
star(zero) = addition(one,star(zero)),
inference(resolution,[],[f117,f35]) ).
fof(f122,plain,
star(zero) = addition(star(zero),one),
inference(forward_demodulation,[],[f121,f24]) ).
fof(f175,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f25,f27]) ).
fof(f176,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f25,f24]) ).
fof(f182,plain,
! [X0] : addition(sK1,X0) = addition(sK0,addition(sK1,X0)),
inference(superposition,[],[f25,f51]) ).
fof(f184,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f25,f27]) ).
fof(f185,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X2,X0)),
inference(superposition,[],[f25,f24]) ).
fof(f199,plain,
! [X0] : addition(X0,sK1) = addition(sK0,addition(X0,sK1)),
inference(superposition,[],[f182,f24]) ).
fof(f259,plain,
! [X0,X1] : addition(addition(X0,sK1),X1) = addition(sK0,addition(addition(X0,sK1),X1)),
inference(superposition,[],[f25,f199]) ).
fof(f263,plain,
! [X0,X1] : addition(X0,addition(sK1,X1)) = addition(sK0,addition(X0,addition(sK1,X1))),
inference(forward_demodulation,[],[f259,f25]) ).
fof(f775,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f31,f29]) ).
fof(f1317,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f32,f30]) ).
fof(f1331,plain,
! [X2,X0,X1] :
( multiplication(X1,X2) != multiplication(addition(X0,X1),X2)
| leq(multiplication(X0,X2),multiplication(X1,X2)) ),
inference(superposition,[],[f36,f32]) ).
fof(f1978,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X2)
| leq(multiplication(star(X1),X0),X2) ),
inference(superposition,[],[f39,f24]) ).
fof(f2592,plain,
! [X0,X1] :
( ~ leq(addition(zero,X1),X0)
| leq(multiplication(X1,star(zero)),X0) ),
inference(superposition,[],[f40,f33]) ).
fof(f2607,plain,
! [X0,X1] :
( leq(multiplication(X1,star(zero)),X0)
| ~ leq(X1,X0) ),
inference(forward_demodulation,[],[f2592,f43]) ).
fof(f3294,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(unit_resulting_resolution,[],[f36,f175]) ).
fof(f7869,plain,
! [X0] : addition(sK1,X0) = addition(sK1,addition(sK0,X0)),
inference(superposition,[],[f176,f51]) ).
fof(f8546,plain,
! [X0] : addition(sK1,X0) = addition(addition(sK0,X0),sK1),
inference(superposition,[],[f24,f7869]) ).
fof(f8554,plain,
! [X0] : addition(sK1,X0) = addition(sK0,addition(X0,sK1)),
inference(forward_demodulation,[],[f8546,f25]) ).
fof(f8760,plain,
! [X0] : addition(sK1,addition(X0,sK1)) = addition(sK1,addition(sK1,X0)),
inference(superposition,[],[f7869,f8554]) ).
fof(f8835,plain,
! [X0] : addition(sK1,X0) = addition(sK1,addition(X0,sK1)),
inference(forward_demodulation,[],[f8760,f175]) ).
fof(f9023,plain,
! [X0] :
( addition(sK1,X0) != addition(X0,sK1)
| leq(sK1,addition(X0,sK1)) ),
inference(superposition,[],[f36,f8835]) ).
fof(f9028,plain,
! [X0] : leq(sK1,addition(X0,sK1)),
inference(forward_subsumption_resolution,[],[f9023,f24]) ).
fof(f9061,plain,
! [X0,X1] : leq(sK1,addition(X0,addition(X1,sK1))),
inference(superposition,[],[f9028,f176]) ).
fof(f9091,plain,
! [X0,X1] : leq(sK1,addition(X1,addition(sK1,X0))),
inference(superposition,[],[f9061,f24]) ).
fof(f10384,plain,
! [X0] : addition(sK1,X0) = addition(sK0,addition(addition(X0,sK1),addition(sK1,X0))),
inference(superposition,[],[f184,f8554]) ).
fof(f10767,plain,
! [X0] : addition(sK1,X0) = addition(addition(X0,sK1),addition(sK1,X0)),
inference(forward_demodulation,[],[f10384,f263]) ).
fof(f10824,plain,
! [X0] : addition(sK1,X0) = addition(X0,addition(sK1,addition(sK1,X0))),
inference(forward_demodulation,[],[f10767,f25]) ).
fof(f10843,plain,
! [X0] : addition(sK1,X0) = addition(X0,addition(sK1,X0)),
inference(forward_demodulation,[],[f10824,f175]) ).
fof(f10860,plain,
! [X0] : leq(X0,addition(sK1,X0)),
inference(unit_resulting_resolution,[],[f36,f10843]) ).
fof(f11217,plain,
! [X0] : leq(multiplication(X0,star(zero)),addition(sK1,X0)),
inference(unit_resulting_resolution,[],[f2607,f10860]) ).
fof(f11584,plain,
leq(star(zero),addition(sK1,one)),
inference(superposition,[],[f11217,f30]) ).
fof(f11605,plain,
leq(star(zero),addition(one,sK1)),
inference(forward_demodulation,[],[f11584,f24]) ).
fof(f11609,plain,
addition(one,sK1) = addition(star(zero),addition(one,sK1)),
inference(unit_resulting_resolution,[],[f35,f11605]) ).
fof(f13479,plain,
! [X0] : addition(sK0,addition(sK1,X0)) = addition(X0,sK1),
inference(superposition,[],[f185,f51]) ).
fof(f13583,plain,
! [X0,X1] : addition(X0,addition(X1,sK1)) = addition(X1,addition(sK0,addition(X0,sK1))),
inference(superposition,[],[f185,f8554]) ).
fof(f14805,plain,
! [X0,X1] : addition(X0,addition(X1,sK1)) = addition(X1,addition(X0,sK1)),
inference(forward_demodulation,[],[f13583,f199]) ).
fof(f16051,plain,
! [X0,X1] : addition(X1,addition(sK0,addition(sK1,X0))) = addition(sK1,addition(X1,X0)),
inference(superposition,[],[f185,f13479]) ).
fof(f16058,plain,
! [X0,X1] : addition(sK0,addition(sK1,addition(X0,X1))) = addition(X1,addition(X0,sK1)),
inference(superposition,[],[f176,f13479]) ).
fof(f16065,plain,
! [X0,X1] : addition(sK1,addition(X0,X1)) = addition(X1,addition(X0,sK1)),
inference(forward_demodulation,[],[f16058,f182]) ).
fof(f16069,plain,
! [X0,X1] : addition(X1,addition(sK1,X0)) = addition(sK1,addition(X1,X0)),
inference(forward_demodulation,[],[f16051,f182]) ).
fof(f19334,plain,
addition(sK1,star(zero)) = addition(one,addition(star(zero),sK1)),
inference(superposition,[],[f16065,f122]) ).
fof(f19931,plain,
addition(star(zero),sK1) = addition(one,addition(star(zero),sK1)),
inference(forward_demodulation,[],[f19334,f24]) ).
fof(f25551,plain,
addition(star(zero),sK1) = addition(star(zero),addition(one,sK1)),
inference(forward_demodulation,[],[f19931,f14805]) ).
fof(f25674,plain,
addition(star(zero),sK1) = addition(one,sK1),
inference(superposition,[],[f25551,f11609]) ).
fof(f27402,plain,
! [X0,X1] : leq(sK1,addition(X1,multiplication(sK1,addition(one,X0)))),
inference(superposition,[],[f9091,f775]) ).
fof(f28080,plain,
! [X2,X0,X1] : leq(sK1,addition(X2,multiplication(sK1,addition(X0,addition(one,X1))))),
inference(superposition,[],[f27402,f185]) ).
fof(f62693,plain,
! [X0,X1] :
( ~ leq(multiplication(addition(one,X0),X1),X1)
| leq(multiplication(star(X0),X1),X1) ),
inference(superposition,[],[f1978,f1317]) ).
fof(f74525,plain,
! [X0,X1] :
( multiplication(addition(X0,sK1),X1) != multiplication(addition(X0,sK1),X1)
| leq(multiplication(sK0,X1),multiplication(addition(X0,sK1),X1)) ),
inference(superposition,[],[f1331,f199]) ).
fof(f74585,plain,
! [X0,X1] : leq(multiplication(sK0,X1),multiplication(addition(X0,sK1),X1)),
inference(trivial_inequality_removal,[],[f74525]) ).
fof(f88435,plain,
! [X0,X1] : leq(sK1,addition(X1,multiplication(sK1,star(X0)))),
inference(superposition,[],[f28080,f118]) ).
fof(f88546,plain,
! [X2,X0,X1] : leq(sK1,addition(X0,addition(X1,multiplication(sK1,star(X2))))),
inference(superposition,[],[f88435,f176]) ).
fof(f90402,plain,
leq(sK1,star(sK1)),
inference(superposition,[],[f88546,f118]) ).
fof(f90418,plain,
star(sK1) = addition(sK1,star(sK1)),
inference(unit_resulting_resolution,[],[f35,f90402]) ).
fof(f92470,plain,
! [X0,X1] : leq(X1,addition(sK1,addition(X0,X1))),
inference(superposition,[],[f3294,f16065]) ).
fof(f92476,plain,
! [X0,X1] : leq(X0,addition(sK1,addition(X0,X1))),
inference(superposition,[],[f3294,f16069]) ).
fof(f92606,plain,
! [X2,X0,X1] : leq(X2,addition(sK1,addition(X0,addition(X1,X2)))),
inference(superposition,[],[f92470,f176]) ).
fof(f92856,plain,
! [X2,X0,X1] : leq(X1,addition(sK1,addition(X0,addition(X1,X2)))),
inference(superposition,[],[f92476,f185]) ).
fof(f94139,plain,
! [X0] : leq(multiplication(X0,star(X0)),addition(sK1,star(X0))),
inference(superposition,[],[f92606,f118]) ).
fof(f94177,plain,
! [X2,X0,X1] : leq(X1,addition(addition(X0,X1),addition(sK1,X2))),
inference(superposition,[],[f92606,f185]) ).
fof(f94190,plain,
! [X2,X0,X1] : leq(X1,addition(X0,addition(X1,addition(sK1,X2)))),
inference(forward_demodulation,[],[f94177,f25]) ).
fof(f96290,plain,
! [X0] : leq(one,addition(sK1,star(X0))),
inference(superposition,[],[f92856,f118]) ).
fof(f96378,plain,
leq(one,star(sK1)),
inference(superposition,[],[f96290,f90418]) ).
fof(f96387,plain,
star(sK1) = addition(one,star(sK1)),
inference(unit_resulting_resolution,[],[f35,f96378]) ).
fof(f98310,plain,
leq(multiplication(sK1,star(sK1)),star(sK1)),
inference(superposition,[],[f94139,f90418]) ).
fof(f98323,plain,
star(sK1) = addition(multiplication(sK1,star(sK1)),star(sK1)),
inference(resolution,[],[f98310,f35]) ).
fof(f98324,plain,
star(sK1) = addition(star(sK1),multiplication(sK1,star(sK1))),
inference(forward_demodulation,[],[f98323,f24]) ).
fof(f98328,plain,
star(sK1) = multiplication(addition(one,sK1),star(sK1)),
inference(forward_demodulation,[],[f98324,f1317]) ).
fof(f98331,plain,
star(sK1) = multiplication(addition(star(zero),sK1),star(sK1)),
inference(forward_demodulation,[],[f98328,f25674]) ).
fof(f98612,plain,
! [X0,X1] : leq(X0,addition(X1,addition(X0,star(sK1)))),
inference(superposition,[],[f94190,f90418]) ).
fof(f98740,plain,
! [X0,X1] : leq(X0,addition(X1,addition(star(sK1),X0))),
inference(superposition,[],[f98612,f24]) ).
fof(f98816,plain,
! [X0,X1] : leq(X0,addition(star(sK1),addition(X0,X1))),
inference(superposition,[],[f98740,f185]) ).
fof(f99078,plain,
! [X0,X1] : leq(X0,addition(star(sK1),multiplication(X0,addition(one,X1)))),
inference(superposition,[],[f98816,f775]) ).
fof(f131904,plain,
leq(multiplication(sK0,star(sK1)),star(sK1)),
inference(superposition,[],[f74585,f98331]) ).
fof(f132024,plain,
star(sK1) = addition(multiplication(sK0,star(sK1)),star(sK1)),
inference(resolution,[],[f131904,f35]) ).
fof(f132025,plain,
star(sK1) = addition(star(sK1),multiplication(sK0,star(sK1))),
inference(forward_demodulation,[],[f132024,f24]) ).
fof(f132028,plain,
star(sK1) = multiplication(addition(one,sK0),star(sK1)),
inference(forward_demodulation,[],[f132025,f1317]) ).
fof(f142332,plain,
! [X0] : leq(X0,addition(star(sK1),multiplication(X0,star(sK1)))),
inference(superposition,[],[f99078,f96387]) ).
fof(f142393,plain,
! [X0] : leq(X0,multiplication(addition(one,X0),star(sK1))),
inference(forward_demodulation,[],[f142332,f1317]) ).
fof(f375404,plain,
( ~ leq(star(sK1),star(sK1))
| leq(multiplication(star(sK0),star(sK1)),star(sK1)) ),
inference(superposition,[],[f62693,f132028]) ).
fof(f375422,plain,
leq(multiplication(star(sK0),star(sK1)),star(sK1)),
inference(forward_subsumption_resolution,[],[f375404,f55]) ).
fof(f375508,plain,
star(sK1) = addition(multiplication(star(sK0),star(sK1)),star(sK1)),
inference(resolution,[],[f375422,f35]) ).
fof(f375509,plain,
star(sK1) = addition(star(sK1),multiplication(star(sK0),star(sK1))),
inference(forward_demodulation,[],[f375508,f24]) ).
fof(f375517,plain,
star(sK1) = multiplication(addition(one,star(sK0)),star(sK1)),
inference(forward_demodulation,[],[f375509,f1317]) ).
fof(f377266,plain,
leq(star(sK0),star(sK1)),
inference(superposition,[],[f142393,f375517]) ).
fof(f377495,plain,
$false,
inference(forward_subsumption_resolution,[],[f377266,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE041+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.37 % Computer : n006.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 27 13:04:55 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.41 Running first-order model finding
% 0.08/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.71/2.50 % (2965051)Will run a generic schedule for satisfiability detection.
% 14.71/2.50 % (2965062)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=100094830:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.71/2.50 % (2965057)% WARNING: option uhcvi not known.
% 14.71/2.50 % (2965059)dis+10_1_sil=32000:sp=arity:random_seed=2827778031:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.71/2.50 % (2965058)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4209899188:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.71/2.50 % (2965056)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4156040547_2999 on theBenchmark for (2999ds/0Mi)
% 14.71/2.50 % (2965061)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1317283558:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.71/2.50 % (2965057)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4228090817:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.71/2.50 % (2965060)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2229316077:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.71/2.50 % TRYING [1]
% 14.71/2.50 % TRYING [2]
% 14.71/2.50 % TRYING [3]
% 14.71/2.50 % TRYING [4]
% 14.71/2.50 % TRYING [5]
% 14.71/2.50 % (2965062)Instruction limit reached!
% 14.71/2.50 % (2965062)------------------------------
% 14.71/2.50 % (2965062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.50 % (2965062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.50 % (2965062)CaDiCaL version: 2.1.3
% 14.71/2.50 % (2965062)Termination reason: Instruction limit
% 14.71/2.50 % (2965062)Termination phase: Saturation
% 14.71/2.50 % (2965062)Time elapsed: 0.056 s
% 14.71/2.50 % (2965062)Peak memory usage: 13 MB
% 14.71/2.50 % (2965062)Instructions burned: 161 (million)
% 14.71/2.50 % (2965070)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=386669613:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.71/2.50 % TRYING [1]
% 14.71/2.50 % TRYING [2]
% 14.71/2.50 % (2965059)Instruction limit reached!
% 14.71/2.50 % (2965059)------------------------------
% 14.71/2.50 % (2965059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.50 % (2965059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.50 % (2965059)CaDiCaL version: 2.1.3
% 14.71/2.50 % (2965059)Termination reason: Instruction limit
% 14.71/2.50 % (2965059)Termination phase: Saturation
% 14.71/2.50 % (2965059)Time elapsed: 0.062 s
% 14.71/2.50 % (2965059)Peak memory usage: 12 MB
% 14.71/2.50 % (2965059)Instructions burned: 104 (million)
% 14.71/2.50 % TRYING [3]
% 14.71/2.50 % TRYING [4]
% 14.71/2.50 % (2965060)Instruction limit reached!
% 14.71/2.50 % (2965060)------------------------------
% 14.71/2.50 % (2965060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.50 % (2965060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.50 % (2965060)CaDiCaL version: 2.1.3
% 14.71/2.50 % (2965060)Termination reason: Instruction limit
% 14.71/2.50 % (2965060)Termination phase: Saturation
% 14.71/2.50 % (2965060)Time elapsed: 0.066 s
% 14.71/2.50 % (2965060)Peak memory usage: 13 MB
% 14.71/2.50 % (2965060)Instructions burned: 117 (million)
% 14.71/2.50 % TRYING [5]
% 14.71/2.50 % (2965061)Instruction limit reached!
% 14.71/2.50 % (2965061)------------------------------
% 14.71/2.50 % (2965061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.50 % (2965061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.50 % (2965061)CaDiCaL version: 2.1.3
% 14.71/2.50 % (2965061)Termination reason: Instruction limit
% 14.71/2.50 % (2965061)Termination phase: Saturation
% 14.71/2.50 % (2965061)Time elapsed: 0.079 s
% 14.71/2.50 % (2965061)Peak memory usage: 13 MB
% 14.71/2.50 % (2965061)Instructions burned: 133 (million)
% 14.71/2.50 % (2965072)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1167913540:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.71/2.50 % (2965073)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=934326121:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.71/2.50 % TRYING [6]
% 14.71/2.50 % (2965074)ott-21_1_sil=16000:fs=off:random_seed=93939017:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.71/2.50 % TRYING [6]
% 14.71/2.50 % (2965072)Instruction limit reached!
% 14.71/2.50 % (2965072)------------------------------
% 14.71/2.50 % (2965072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.50/6.20 % (2965072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.50/6.20 % (2965072)CaDiCaL version: 2.1.3
% 40.50/6.20 % (2965072)Termination reason: Instruction limit
% 40.50/6.20 % (2965072)Termination phase: Saturation
% 40.50/6.20 % (2965072)Time elapsed: 0.089 s
% 40.50/6.20 % (2965072)Peak memory usage: 13 MB
% 40.50/6.20 % (2965072)Instructions burned: 132 (million)
% 40.50/6.20 % (2965074)Instruction limit reached!
% 40.50/6.20 % (2965074)------------------------------
% 40.50/6.20 % (2965074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.50/6.20 % (2965074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.50/6.20 % (2965074)CaDiCaL version: 2.1.3
% 40.50/6.20 % (2965074)Termination reason: Instruction limit
% 40.50/6.20 % (2965074)Termination phase: Saturation
% 40.50/6.20 % (2965074)Time elapsed: 0.078 s
% 40.50/6.20 % (2965074)Peak memory usage: 12 MB
% 40.50/6.20 % (2965074)Instructions burned: 181 (million)
% 40.50/6.20 % (2965078)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1538656488:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 40.50/6.20 % (2965079)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=166544839:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 40.50/6.20 % TRYING [1]
% 40.50/6.20 % TRYING [2]
% 40.50/6.20 % TRYING [3]
% 40.50/6.20 % TRYING [4]
% 40.50/6.20 % (2965070)Instruction limit reached!
% 40.50/6.20 % (2965070)------------------------------
% 40.50/6.20 % (2965070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.50/6.20 % (2965070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.50/6.20 % (2965070)CaDiCaL version: 2.1.3
% 40.50/6.20 % (2965070)Termination reason: Instruction limit
% 40.50/6.20 % (2965070)Termination phase: Finite model building SAT solving
% 40.50/6.20 % (2965070)Time elapsed: 0.177 s
% 40.50/6.20 % (2965070)Peak memory usage: 31 MB
% 40.50/6.20 % (2965070)Instructions burned: 716 (million)
% 40.50/6.20 % TRYING [5]
% 40.50/6.20 % (2965082)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2347546395:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 40.50/6.20 % TRYING [7]
% 40.50/6.20 % TRYING [6]
% 40.50/6.20 % (2965073)Instruction limit reached!
% 40.50/6.20 % (2965073)------------------------------
% 40.50/6.20 % (2965073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.50/6.20 % (2965073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.50/6.20 % (2965073)CaDiCaL version: 2.1.3
% 40.50/6.20 % (2965073)Termination reason: Instruction limit
% 40.50/6.20 % (2965073)Termination phase: Saturation
% 40.50/6.20 % (2965073)Time elapsed: 0.349 s
% 40.50/6.20 % (2965073)Peak memory usage: 16 MB
% 40.50/6.20 % (2965073)Instructions burned: 685 (million)
% 40.50/6.20 % (2965084)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3826251352:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 40.50/6.20 % (2965078)Instruction limit reached!
% 40.50/6.20 % (2965078)------------------------------
% 40.50/6.20 % (2965078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.50/6.20 % (2965078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.50/6.20 % (2965078)CaDiCaL version: 2.1.3
% 40.50/6.20 % (2965078)Termination reason: Instruction limit
% 40.50/6.20 % (2965078)Termination phase: Saturation
% 40.50/6.20 % (2965078)Time elapsed: 0.292 s
% 40.50/6.20 % (2965078)Peak memory usage: 14 MB
% 40.50/6.20 % (2965078)Instructions burned: 478 (million)
% 40.50/6.20 % (2965086)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1318098963:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 40.50/6.20 % (2965079)Instruction limit reached!
% 40.50/6.20 % (2965079)------------------------------
% 40.50/6.20 % (2965079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.50/6.20 % (2965079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.50/6.20 % (2965079)CaDiCaL version: 2.1.3
% 40.50/6.20 % (2965079)Termination reason: Instruction limit
% 40.50/6.20 % (2965079)Termination phase: Finite model building SAT solving
% 40.50/6.20 % (2965079)Time elapsed: 0.338 s
% 40.50/6.20 % (2965079)Peak memory usage: 26 MB
% 40.50/6.20 % (2965079)Instructions burned: 867 (million)
% 40.50/6.20 % (2965088)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3760785211:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 40.50/6.20 % TRYING [14]
% 85.65/12.53 % (2965082)Instruction limit reached!
% 85.65/12.53 % (2965082)------------------------------
% 85.65/12.53 % (2965082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.65/12.53 % (2965082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.65/12.53 % (2965082)CaDiCaL version: 2.1.3
% 85.65/12.53 % (2965082)Termination reason: Instruction limit
% 85.65/12.53 % (2965082)Termination phase: Saturation
% 85.65/12.53 % (2965082)Time elapsed: 0.359 s
% 85.65/12.53 % (2965082)Peak memory usage: 19 MB
% 85.65/12.53 % (2965082)Instructions burned: 1182 (million)
% 85.65/12.53 % (2965090)fmb+10_1_sil=64000:random_seed=1907432602:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 85.65/12.53 % TRYING [1]
% 85.65/12.53 % TRYING [2]
% 85.65/12.53 % TRYING [3]
% 85.65/12.53 % TRYING [4]
% 85.65/12.53 % TRYING [5]
% 85.65/12.53 % TRYING [8]
% 85.65/12.53 % TRYING [6]
% 85.65/12.53 % (2965084)Instruction limit reached!
% 85.65/12.53 % (2965084)------------------------------
% 85.65/12.53 % (2965084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.65/12.53 % (2965084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.65/12.53 % (2965084)CaDiCaL version: 2.1.3
% 85.65/12.53 % (2965084)Termination reason: Instruction limit
% 85.65/12.53 % (2965084)Termination phase: Finite model building constraint generation
% 85.65/12.53 % (2965084)Time elapsed: 0.339 s
% 85.65/12.53 % (2965084)Peak memory usage: 81 MB
% 85.65/12.53 % (2965084)Instructions burned: 891 (million)
% 85.65/12.53 % (2965092)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4058222555:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 85.65/12.53 % TRYING [20]
% 85.65/12.53 % TRYING [7]
% 85.65/12.53 % (2965086)Instruction limit reached!
% 85.65/12.53 % (2965086)------------------------------
% 85.65/12.53 % (2965086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.65/12.53 % (2965086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.65/12.53 % (2965086)CaDiCaL version: 2.1.3
% 85.65/12.53 % (2965086)Termination reason: Instruction limit
% 85.65/12.53 % (2965086)Termination phase: Saturation
% 85.65/12.53 % (2965086)Time elapsed: 0.350 s
% 85.65/12.53 % (2965086)Peak memory usage: 20 MB
% 85.65/12.53 % (2965086)Instructions burned: 693 (million)
% 85.65/12.53 % (2965094)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1739227412:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 85.65/12.53 % TRYING [8]
% 85.65/12.53 % (2965088)Instruction limit reached!
% 85.65/12.53 % (2965088)------------------------------
% 85.65/12.53 % (2965088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.65/12.53 % (2965088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.65/12.53 % (2965088)CaDiCaL version: 2.1.3
% 85.65/12.53 % (2965088)Termination reason: Instruction limit
% 85.65/12.53 % (2965088)Termination phase: Saturation
% 85.65/12.53 % (2965088)Time elapsed: 0.511 s
% 85.65/12.53 % (2965088)Peak memory usage: 19 MB
% 85.65/12.53 % (2965088)Instructions burned: 880 (million)
% 85.65/12.53 % (2965096)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3370002548:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 85.65/12.53 % (2965094)Instruction limit reached!
% 85.65/12.53 % (2965094)------------------------------
% 85.65/12.53 % (2965094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.65/12.53 % (2965094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.65/12.53 % (2965094)CaDiCaL version: 2.1.3
% 85.65/12.53 % (2965094)Termination reason: Instruction limit
% 85.65/12.53 % (2965094)Termination phase: Finite model building constraint generation
% 85.65/12.53 % (2965094)Time elapsed: 0.349 s
% 85.65/12.53 % (2965094)Peak memory usage: 66 MB
% 85.65/12.53 % (2965094)Instructions burned: 922 (million)
% 85.65/12.53 % TRYING [8]
% 85.65/12.53 % (2965098)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2163318308:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 85.65/12.53 % TRYING [9]
% 85.65/12.53 % (2965098)Instruction limit reached!
% 85.65/12.53 % (2965098)------------------------------
% 85.65/12.53 % (2965098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.65/12.53 % (2965098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.65/12.53 % (2965098)CaDiCaL version: 2.1.3
% 85.65/12.53 % (2965098)Termination reason: Instruction limit
% 85.65/12.53 % (2965098)Termination phase: Saturation
% 85.65/12.53 % (2965098)Time elapsed: 0.774 s
% 85.65/12.53 % (2965098)Peak memory usage: 29 MB
% 85.65/12.53 % (2965098)Instructions burned: 1472 (million)
% 85.65/12.53 % (2965100)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3956340223:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 49.71/15.55 % TRYING [77]
% 49.71/15.55 % TRYING [9]
% 49.71/15.55 % (2965096)Instruction limit reached!
% 49.71/15.55 % (2965096)------------------------------
% 49.71/15.55 % (2965096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.71/15.55 % (2965096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.71/15.55 % (2965096)CaDiCaL version: 2.1.3
% 49.71/15.55 % (2965096)Termination reason: Instruction limit
% 49.71/15.55 % (2965096)Termination phase: Saturation
% 49.71/15.55 % (2965096)Time elapsed: 2.721 s
% 49.71/15.55 % (2965096)Peak memory usage: 46 MB
% 49.71/15.55 % (2965096)Instructions burned: 5132 (million)
% 49.71/15.55 % (2965102)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3056907146:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 49.71/15.55 % TRYING [16]
% 49.71/15.55 % TRYING [10]
% 49.71/15.55 % (2965092)Instruction limit reached!
% 49.71/15.55 % (2965092)------------------------------
% 49.71/15.55 % (2965092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.71/15.55 % (2965092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.71/15.55 % (2965092)CaDiCaL version: 2.1.3
% 49.71/15.55 % (2965092)Termination reason: Instruction limit
% 49.71/15.55 % (2965092)Termination phase: Finite model building constraint generation
% 49.71/15.55 % (2965092)Time elapsed: 3.464 s
% 49.71/15.55 % (2965092)Peak memory usage: 669 MB
% 49.71/15.55 % (2965092)Instructions burned: 9516 (million)
% 49.71/15.55 % (2965104)ott-2_1_sil=16000:newcnf=on:random_seed=2462068625:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 49.71/15.55 % (2965100)Instruction limit reached!
% 49.71/15.55 % (2965100)------------------------------
% 49.71/15.55 % (2965100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.71/15.55 % (2965100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.71/15.55 % (2965100)CaDiCaL version: 2.1.3
% 49.71/15.55 % (2965100)Termination reason: Instruction limit
% 49.71/15.55 % (2965100)Termination phase: Finite model building constraint generation
% 49.71/15.55 % (2965100)Time elapsed: 2.349 s
% 49.71/15.55 % (2965100)Peak memory usage: 523 MB
% 49.71/15.55 % (2965100)Instructions burned: 6325 (million)
% 49.71/15.55 % (2965106)ott+10_1_sil=32000:tgt=ground:random_seed=3248344030:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 49.71/15.55 % TRYING [10]
% 49.71/15.55 % (2965102)Instruction limit reached!
% 49.71/15.55 % (2965102)------------------------------
% 49.71/15.55 % (2965102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.71/15.55 % (2965102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.71/15.55 % (2965102)CaDiCaL version: 2.1.3
% 49.71/15.55 % (2965102)Termination reason: Instruction limit
% 49.71/15.55 % (2965102)Termination phase: Finite model building constraint generation
% 49.71/15.55 % (2965102)Time elapsed: 0.733 s
% 49.71/15.55 % (2965102)Peak memory usage: 133 MB
% 49.71/15.55 % (2965102)Instructions burned: 2177 (million)
% 49.71/15.55 % (2965108)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1791355807:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 49.71/15.55 % TRYING [1]
% 49.71/15.55 % TRYING [2]
% 49.71/15.55 % TRYING [3]
% 49.71/15.55 % TRYING [4]
% 49.71/15.55 % TRYING [5]
% 49.71/15.55 % TRYING [6]
% 49.71/15.55 % TRYING [7]
% 49.71/15.55 % (2965104)Instruction limit reached!
% 49.71/15.55 % (2965104)------------------------------
% 49.71/15.55 % (2965104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.71/15.55 % (2965104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.71/15.55 % (2965104)CaDiCaL version: 2.1.3
% 49.71/15.55 % (2965104)Termination reason: Instruction limit
% 49.71/15.55 % (2965104)Termination phase: Saturation
% 49.71/15.55 % (2965104)Time elapsed: 0.528 s
% 49.71/15.55 % (2965104)Peak memory usage: 20 MB
% 49.71/15.55 % (2965104)Instructions burned: 870 (million)
% 49.71/15.55 % (2965110)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1884732207:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 49.71/15.55 % TRYING [8]
% 49.71/15.55 % (2965090)Instruction limit reached!
% 49.71/15.55 % (2965090)------------------------------
% 49.71/15.55 % (2965090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.71/15.55 % (2965090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.71/15.55 % (2965090)CaDiCaL version: 2.1.3
% 49.71/15.55 % (2965090)Termination reason: Instruction limit
% 49.71/15.55 % (2965090)Termination phase: Finite model building SAT solving
% 49.71/15.55 % (2965090)Time elapsed: 5.124 s
% 49.71/15.55 % (2965090)Peak memory usage: 189 MB
% 49.71/15.55 % (2965090)Instructions burned: 22063 (million)
% 49.71/15.55 % (2965112)dis+21_1_sil=32000:sas=cadical:random_seed=722766652:i=3773:amm=off_2942 on theBenchmark for (2942ds/3773Mi)
% 49.71/15.55 % TRYING [9]
% 49.71/15.55 % (2965110)Instruction limit reached!
% 49.71/15.55 % (2965110)------------------------------
% 49.71/15.55 % (2965110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.71/15.55 % (2965110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.71/15.55 % (2965110)CaDiCaL version: 2.1.3
% 49.71/15.55 % (2965110)Termination reason: Instruction limit
% 49.71/15.55 % (2965110)Termination phase: Saturation
% 49.71/15.55 % (2965110)Time elapsed: 1.773 s
% 49.71/15.55 % (2965110)Peak memory usage: 34 MB
% 49.71/15.55 % (2965110)Instructions burned: 3513 (million)
% 49.71/15.55 % (2965114)ott+11_1_sil=16000:gs=on:random_seed=4263676741:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2932 on theBenchmark for (2932ds/2251Mi)
% 49.71/15.55 % (2965112)Instruction limit reached!
% 49.71/15.55 % (2965112)------------------------------
% 49.71/15.55 % (2965112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.71/15.55 % (2965112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.71/15.55 % (2965112)CaDiCaL version: 2.1.3
% 49.71/15.55 % (2965112)Termination reason: Instruction limit
% 49.71/15.55 % (2965112)Termination phase: Saturation
% 49.71/15.55 % (2965112)Time elapsed: 1.079 s
% 49.71/15.55 % (2965112)Peak memory usage: 39 MB
% 49.71/15.55 % (2965112)Instructions burned: 3775 (million)
% 49.71/15.55 % (2965116)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2892353044:fmbsr=1.6:i=67534_2931 on theBenchmark for (2931ds/67534Mi)
% 49.71/15.55 % TRYING [7]
% 49.71/15.55 % (2965106)Instruction limit reached!
% 49.71/15.55 % (2965106)------------------------------
% 49.71/15.55 % (2965106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.71/15.55 % (2965106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.71/15.55 % (2965106)CaDiCaL version: 2.1.3
% 49.71/15.55 % (2965106)Termination reason: Instruction limit
% 49.71/15.55 % (2965106)Termination phase: Saturation
% 49.71/15.55 % (2965106)Time elapsed: 3.015 s
% 49.71/15.55 % (2965106)Peak memory usage: 44 MB
% 49.71/15.55 % (2965106)Instructions burned: 5115 (million)
% 49.71/15.55 % (2965118)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3753202243:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2924 on theBenchmark for (2924ds/4591Mi)
% 49.71/15.55 % TRYING [8]
% 49.71/15.55 % (2965114)Instruction limit reached!
% 49.71/15.55 % (2965114)------------------------------
% 49.71/15.55 % (2965114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.71/15.55 % (2965114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.71/15.55 % (2965114)CaDiCaL version: 2.1.3
% 49.71/15.55 % (2965114)Termination reason: Instruction limit
% 49.71/15.55 % (2965114)Termination phase: Saturation
% 49.71/15.55 % (2965114)Time elapsed: 1.367 s
% 49.71/15.55 % (2965114)Peak memory usage: 27 MB
% 49.71/15.55 % (2965114)Instructions burned: 2252 (million)
% 49.71/15.55 % (2965120)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2622056874:i=29340_2918 on theBenchmark for (2918ds/29340Mi)
% 49.71/15.55 % TRYING [11]
% 49.71/15.55 % TRYING [10]
% 49.71/15.55 % (2965118)Instruction limit reached!
% 49.71/15.55 % (2965118)------------------------------
% 49.71/15.55 % (2965118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.71/15.55 % (2965118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.71/15.55 % (2965118)CaDiCaL version: 2.1.3
% 49.71/15.55 % (2965118)Termination reason: Instruction limit
% 49.71/15.55 % (2965118)Termination phase: Saturation
% 49.71/15.55 % (2965118)Time elapsed: 1.697 s
% 49.71/15.55 % (2965118)Peak memory usage: 21 MB
% 49.71/15.55 % (2965118)Instructions burned: 4593 (million)
% 49.71/15.55 % (2965122)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3317634180:i=5211_2907 on theBenchmark for (2907ds/5211Mi)
% 49.71/15.55 % TRYING [9]
% 49.71/15.55 % (2965122)Instruction limit reached!
% 49.71/15.55 % (2965122)------------------------------
% 49.71/15.55 % (2965122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.71/15.55 % (2965122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.71/15.55 % (2965122)CaDiCaL version: 2.1.3
% 49.71/15.55 % (2965122)Termination reason: Instruction limit
% 49.71/15.55 % (2965122)Termination phase: Saturation
% 49.71/15.55 % (2965122)Time elapsed: 2.841 s
% 49.71/15.55 % (2965122)Peak memory usage: 50 MB
% 49.71/15.55 % (2965122)Instructions burned: 5212 (million)
% 49.71/15.55 % (2965124)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=362816903:i=5497:nm=2_2878 on theBenchmark for (2878ds/5497Mi)
% 49.71/15.55 % TRYING [17]
% 49.71/15.55 % TRYING [10]
% 49.71/15.55 % TRYING [11]
% 49.71/15.55 % (2965124)Instruction limit reached!
% 49.71/15.55 % (2965124)------------------------------
% 49.71/15.55 % (2965124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.71/15.55 % (2965124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.71/15.55 % (2965124)CaDiCaL version: 2.1.3
% 49.71/15.55 % (2965124)Termination reason: Instruction limit
% 49.71/15.55 % (2965124)Termination phase: Finite model building constraint generation
% 49.71/15.55 % (2965124)Time elapsed: 1.978 s
% 49.71/15.55 % (2965124)Peak memory usage: 391 MB
% 49.71/15.55 % (2965124)Instructions burned: 5499 (million)
% 49.71/15.55 % (2965126)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3044935437:fmbsr=2:i=46332_2858 on theBenchmark for (2858ds/46332Mi)
% 49.71/15.55 % TRYING [15]
% 49.71/15.55 % (2965120) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2965051-2965120"...
% 49.71/15.55 % (2965120)...printing done.
% 49.71/15.55 % (2965120)Refutation found. Thanks to Tanya!
% 49.71/15.55 % SZS status Theorem for theBenchmark
% 49.71/15.55 % SZS output start Proof for theBenchmark
% See solution above
% 49.71/15.55 % (2965120)------------------------------
% 49.71/15.55 % (2965120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 49.71/15.55 % (2965120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.71/15.55 % (2965120)CaDiCaL version: 2.1.3
% 49.71/15.55 % (2965120)Termination reason: Refutation
% 49.71/15.55 % (2965120)Time elapsed: 6.866 s
% 49.71/15.55 % (2965120)Peak memory usage: 97 MB
% 49.71/15.55 % (2965120)Instructions burned: 11956 (million)
% 49.71/15.55 % (2965051)Success in time 15.132 s
% 49.71/15.55 % Vampire exiting
%------------------------------------------------------------------------------