%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE153+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 11:40:30 AM UTC 2026
% Result : Theorem 49.96s 9.49s
% Output : Refutation 58.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 22
% Syntax : Number of formulae : 141 ( 131 unt; 6 def)
% Number of atoms : 153 ( 129 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 9 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 175 ( 173 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',distributivity1) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f10,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f12,axiom,
! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold2) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infty_unfold1) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(X2,addition(multiplication(X0,X2),X1))
=> leq(X2,multiplication(strong_iteration(X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infty_coinduction) ).
fof(f17,axiom,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isolation) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f19,conjecture,
! [X0,X1] : multiplication(X0,strong_iteration(multiplication(X1,X0))) = multiplication(strong_iteration(multiplication(X0,X1)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1] : multiplication(X0,strong_iteration(multiplication(X1,X0))) = multiplication(strong_iteration(multiplication(X0,X1)),X0),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f23,plain,
! [X0,X1,X2] :
( leq(X2,multiplication(strong_iteration(X0),X1))
| ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f24,plain,
? [X0,X1] : multiplication(X0,strong_iteration(multiplication(X1,X0))) != multiplication(strong_iteration(multiplication(X0,X1)),X0),
inference(ennf_transformation,[],[f20]) ).
fof(f25,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f26,plain,
multiplication(sK0,strong_iteration(multiplication(sK1,sK0))) != multiplication(strong_iteration(multiplication(sK0,sK1)),sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f24]) ).
fof(f27,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f33,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f38,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f41,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ leq(X2,addition(multiplication(X0,X2),X1))
| leq(X2,multiplication(strong_iteration(X0),X1)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
inference(cnf_transformation,[],[f17]) ).
fof(f44,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f45,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
multiplication(sK0,strong_iteration(multiplication(sK1,sK0))) != multiplication(strong_iteration(multiplication(sK0,sK1)),sK0),
inference(cnf_transformation,[],[f26]) ).
fof(f47,definition,
sF2 = multiplication(sK1,sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f48,plain,
multiplication(sK1,sK0) = sF2,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF3 = strong_iteration(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f50,plain,
strong_iteration(sF2) = sF3,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF4 = multiplication(sK0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f52,plain,
multiplication(sK0,sF3) = sF4,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF5 = multiplication(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f54,plain,
multiplication(sK0,sK1) = sF5,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF6 = strong_iteration(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f56,plain,
strong_iteration(sF5) = sF6,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF7 = multiplication(sF6,sK0),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f58,plain,
multiplication(sF6,sK0) = sF7,
inference(reorient_equations,[],[f57]) ).
fof(f59,plain,
sF4 != sF7,
inference(definition_folding,[],[f46,f58,f56,f54,f52,f50,f48]) ).
fof(f62,plain,
! [X0] : multiplication(sK0,multiplication(sK1,X0)) = multiplication(sF5,X0),
inference(superposition,[],[f31,f54]) ).
fof(f63,plain,
! [X0] : multiplication(sK1,multiplication(sK0,X0)) = multiplication(sF2,X0),
inference(superposition,[],[f31,f48]) ).
fof(f95,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f34,f32]) ).
fof(f112,plain,
! [X0] : multiplication(addition(X0,sK1),sK0) = addition(multiplication(X0,sK0),sF2),
inference(superposition,[],[f35,f48]) ).
fof(f121,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f35,f33]) ).
fof(f212,plain,
multiplication(sF5,sK0) = multiplication(sK0,sF2),
inference(superposition,[],[f62,f48]) ).
fof(f230,plain,
! [X0] : multiplication(sK0,multiplication(sF2,X0)) = multiplication(multiplication(sF5,sK0),X0),
inference(superposition,[],[f31,f212]) ).
fof(f236,plain,
! [X0] : multiplication(sK0,multiplication(sF2,X0)) = multiplication(sF5,multiplication(sK0,X0)),
inference(forward_demodulation,[],[f230,f31]) ).
fof(f237,plain,
! [X0] : multiplication(sF2,multiplication(sK1,X0)) = multiplication(sK1,multiplication(sF5,X0)),
inference(superposition,[],[f63,f62]) ).
fof(f240,plain,
multiplication(sF2,sF3) = multiplication(sK1,sF4),
inference(superposition,[],[f63,f52]) ).
fof(f271,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f28,f27]) ).
fof(f273,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f28,f34]) ).
fof(f274,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X2),addition(multiplication(X1,X2),X3)) = addition(multiplication(addition(X0,X1),X2),X3),
inference(superposition,[],[f28,f35]) ).
fof(f284,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f27,f28]) ).
fof(f286,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(forward_demodulation,[],[f271,f28]) ).
fof(f313,plain,
! [X0] : multiplication(sK1,addition(X0,sF4)) = addition(multiplication(sK1,X0),multiplication(sF2,sF3)),
inference(superposition,[],[f34,f240]) ).
fof(f332,plain,
! [X0,X1] : multiplication(strong_iteration(X0),X1) = addition(multiplication(multiplication(X0,strong_iteration(X0)),X1),X1),
inference(superposition,[],[f121,f41]) ).
fof(f374,plain,
! [X0,X1] : multiplication(strong_iteration(X0),X1) = addition(multiplication(X0,multiplication(strong_iteration(X0),X1)),X1),
inference(forward_demodulation,[],[f332,f31]) ).
fof(f393,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f45,f30]) ).
fof(f403,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f393]) ).
fof(f440,plain,
! [X0,X1] : addition(multiplication(X1,multiplication(X0,strong_iteration(X0))),X1) = multiplication(X1,strong_iteration(X0)),
inference(superposition,[],[f95,f41]) ).
fof(f841,plain,
! [X0,X1] : addition(star(X0),X1) = addition(one,addition(multiplication(star(X0),X0),X1)),
inference(superposition,[],[f28,f38]) ).
fof(f913,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f273,f35]) ).
fof(f1039,plain,
! [X2,X0,X1] : addition(multiplication(X1,multiplication(X0,strong_iteration(X0))),multiplication(addition(X1,X2),one)) = addition(multiplication(X1,strong_iteration(X0)),multiplication(X2,one)),
inference(superposition,[],[f913,f41]) ).
fof(f1182,plain,
! [X2,X0,X1] : addition(multiplication(X1,multiplication(X0,strong_iteration(X0))),multiplication(addition(X1,X2),one)) = addition(multiplication(X1,strong_iteration(X0)),X2),
inference(forward_demodulation,[],[f1039,f32]) ).
fof(f1220,plain,
! [X2,X0,X1] : addition(multiplication(X1,strong_iteration(X0)),X2) = addition(multiplication(X1,multiplication(X0,strong_iteration(X0))),addition(X1,X2)),
inference(forward_demodulation,[],[f1182,f32]) ).
fof(f1257,plain,
! [X0,X1] : addition(multiplication(X0,multiplication(X1,strong_iteration(X1))),X0) = addition(multiplication(X0,strong_iteration(X1)),X0),
inference(superposition,[],[f1220,f30]) ).
fof(f1309,plain,
! [X0,X1] : multiplication(X0,strong_iteration(X1)) = addition(multiplication(X0,strong_iteration(X1)),X0),
inference(forward_demodulation,[],[f1257,f440]) ).
fof(f1347,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f27,f29]) ).
fof(f1376,plain,
! [X0] : multiplication(sF6,X0) = addition(multiplication(sF5,multiplication(sF6,X0)),X0),
inference(superposition,[],[f374,f56]) ).
fof(f1387,plain,
! [X0] : multiplication(strong_iteration(X0),X0) = multiplication(X0,addition(multiplication(strong_iteration(X0),X0),one)),
inference(superposition,[],[f95,f374]) ).
fof(f1756,plain,
! [X2,X3,X0,X1] : addition(multiplication(addition(X3,X0),X1),multiplication(X0,X2)) = addition(multiplication(X3,X1),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f274,f34]) ).
fof(f1999,plain,
! [X0] : strong_iteration(X0) = addition(strong_iteration(X0),one),
inference(superposition,[],[f1309,f33]) ).
fof(f2064,plain,
! [X0] : strong_iteration(X0) = addition(one,strong_iteration(X0)),
inference(superposition,[],[f27,f1999]) ).
fof(f2086,plain,
! [X0,X1] : addition(multiplication(one,strong_iteration(X1)),strong_iteration(X0)) = addition(multiplication(one,multiplication(X1,strong_iteration(X1))),strong_iteration(X0)),
inference(superposition,[],[f1220,f2064]) ).
fof(f2088,plain,
! [X0,X1] : addition(multiplication(one,strong_iteration(X1)),strong_iteration(X0)) = addition(multiplication(X1,strong_iteration(X1)),strong_iteration(X0)),
inference(forward_demodulation,[],[f2086,f33]) ).
fof(f2090,plain,
! [X0,X1] : addition(multiplication(X1,strong_iteration(X1)),strong_iteration(X0)) = addition(strong_iteration(X1),strong_iteration(X0)),
inference(forward_demodulation,[],[f2088,f33]) ).
fof(f3245,plain,
addition(zero,one) = strong_iteration(zero),
inference(superposition,[],[f41,f36]) ).
fof(f3249,plain,
one = strong_iteration(zero),
inference(forward_demodulation,[],[f3245,f1347]) ).
fof(f3827,plain,
! [X0] : multiplication(X0,sF6) = addition(multiplication(X0,multiplication(sF5,sF6)),X0),
inference(superposition,[],[f440,f56]) ).
fof(f5966,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(multiplication(strong_iteration(X0),zero),addition(X1,X2))) = addition(multiplication(strong_iteration(X0),X1),multiplication(multiplication(strong_iteration(X0),zero),X2)),
inference(superposition,[],[f1756,f43]) ).
fof(f6321,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(multiplication(strong_iteration(X0),zero),addition(X1,X2))) = addition(multiplication(strong_iteration(X0),X1),multiplication(strong_iteration(X0),multiplication(zero,X2))),
inference(forward_demodulation,[],[f5966,f31]) ).
fof(f6427,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(multiplication(strong_iteration(X0),zero),addition(X1,X2))) = multiplication(strong_iteration(X0),addition(X1,multiplication(zero,X2))),
inference(forward_demodulation,[],[f6321,f34]) ).
fof(f6494,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(multiplication(strong_iteration(X0),zero),addition(X1,X2))) = multiplication(strong_iteration(X0),addition(X1,zero)),
inference(forward_demodulation,[],[f6427,f36]) ).
fof(f6531,plain,
! [X2,X0,X1] : multiplication(strong_iteration(X0),X1) = addition(multiplication(star(X0),X1),multiplication(multiplication(strong_iteration(X0),zero),addition(X1,X2))),
inference(forward_demodulation,[],[f6494,f29]) ).
fof(f6554,plain,
! [X2,X0,X1] : multiplication(strong_iteration(X0),X1) = addition(multiplication(star(X0),X1),multiplication(strong_iteration(X0),multiplication(zero,addition(X1,X2)))),
inference(forward_demodulation,[],[f6531,f31]) ).
fof(f6565,plain,
! [X0,X1] : multiplication(strong_iteration(X0),X1) = addition(multiplication(star(X0),X1),multiplication(strong_iteration(X0),zero)),
inference(forward_demodulation,[],[f6554,f36]) ).
fof(f6584,plain,
! [X0] : addition(star(X0),multiplication(strong_iteration(X0),zero)) = addition(one,multiplication(strong_iteration(X0),X0)),
inference(superposition,[],[f841,f6565]) ).
fof(f6624,plain,
! [X0] : strong_iteration(X0) = addition(one,multiplication(strong_iteration(X0),X0)),
inference(forward_demodulation,[],[f6584,f43]) ).
fof(f6680,plain,
! [X0,X1] : addition(multiplication(one,multiplication(X1,strong_iteration(X1))),strong_iteration(X0)) = addition(multiplication(one,strong_iteration(X1)),multiplication(strong_iteration(X0),X0)),
inference(superposition,[],[f1220,f6624]) ).
fof(f6685,plain,
! [X0,X1] : addition(multiplication(one,multiplication(X1,strong_iteration(X1))),strong_iteration(X0)) = addition(strong_iteration(X1),multiplication(strong_iteration(X0),X0)),
inference(forward_demodulation,[],[f6680,f33]) ).
fof(f6693,plain,
! [X0,X1] : addition(multiplication(X1,strong_iteration(X1)),strong_iteration(X0)) = addition(strong_iteration(X1),multiplication(strong_iteration(X0),X0)),
inference(forward_demodulation,[],[f6685,f33]) ).
fof(f6696,plain,
! [X0,X1] : addition(strong_iteration(X1),strong_iteration(X0)) = addition(strong_iteration(X1),multiplication(strong_iteration(X0),X0)),
inference(forward_demodulation,[],[f6693,f2090]) ).
fof(f8018,plain,
multiplication(sK0,strong_iteration(sF2)) = addition(multiplication(sF5,multiplication(sK0,strong_iteration(sF2))),sK0),
inference(superposition,[],[f440,f236]) ).
fof(f8057,plain,
multiplication(sK0,sF3) = addition(multiplication(sF5,multiplication(sK0,sF3)),sK0),
inference(forward_demodulation,[],[f8018,f50]) ).
fof(f8068,plain,
sF4 = addition(multiplication(sF5,sF4),sK0),
inference(forward_demodulation,[],[f8057,f52]) ).
fof(f8079,plain,
( ~ leq(sF4,sF4)
| leq(sF4,multiplication(strong_iteration(sF5),sK0)) ),
inference(superposition,[],[f42,f8068]) ).
fof(f8111,plain,
leq(sF4,multiplication(strong_iteration(sF5),sK0)),
inference(forward_subsumption_resolution,[],[f8079,f403]) ).
fof(f8116,plain,
leq(sF4,multiplication(sF6,sK0)),
inference(forward_demodulation,[],[f8111,f56]) ).
fof(f8117,plain,
leq(sF4,sF7),
inference(forward_demodulation,[],[f8116,f58]) ).
fof(f8118,plain,
sF7 = addition(sF4,sF7),
inference(resolution,[],[f8117,f44]) ).
fof(f8955,plain,
! [X0,X1] : addition(strong_iteration(X0),strong_iteration(X1)) = addition(multiplication(strong_iteration(X1),X1),strong_iteration(X0)),
inference(superposition,[],[f27,f6696]) ).
fof(f17053,plain,
multiplication(multiplication(sK1,sF6),sK0) = addition(multiplication(multiplication(sK1,multiplication(sF5,sF6)),sK0),sF2),
inference(superposition,[],[f112,f3827]) ).
fof(f17060,plain,
multiplication(multiplication(sK1,sF6),sK0) = addition(multiplication(sK1,multiplication(multiplication(sF5,sF6),sK0)),sF2),
inference(forward_demodulation,[],[f17053,f31]) ).
fof(f17125,plain,
multiplication(multiplication(sK1,sF6),sK0) = addition(multiplication(sK1,multiplication(sF5,multiplication(sF6,sK0))),sF2),
inference(forward_demodulation,[],[f17060,f31]) ).
fof(f17166,plain,
multiplication(multiplication(sK1,sF6),sK0) = addition(multiplication(sF2,multiplication(sK1,multiplication(sF6,sK0))),sF2),
inference(forward_demodulation,[],[f17125,f237]) ).
fof(f17195,plain,
multiplication(multiplication(sK1,sF6),sK0) = addition(multiplication(sF2,multiplication(sK1,sF7)),sF2),
inference(forward_demodulation,[],[f17166,f58]) ).
fof(f17215,plain,
multiplication(sK1,multiplication(sF6,sK0)) = addition(multiplication(sF2,multiplication(sK1,sF7)),sF2),
inference(forward_demodulation,[],[f17195,f31]) ).
fof(f17232,plain,
multiplication(sK1,sF7) = addition(multiplication(sF2,multiplication(sK1,sF7)),sF2),
inference(forward_demodulation,[],[f17215,f58]) ).
fof(f34209,plain,
! [X0] : addition(X0,sF7) = addition(sF4,addition(X0,sF7)),
inference(superposition,[],[f286,f8118]) ).
fof(f39888,plain,
! [X0] : addition(multiplication(strong_iteration(X0),X0),one) = addition(one,strong_iteration(X0)),
inference(superposition,[],[f8955,f3249]) ).
fof(f40020,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(strong_iteration(X0),X0),one),
inference(forward_demodulation,[],[f39888,f2064]) ).
fof(f40057,plain,
! [X0] : multiplication(X0,strong_iteration(X0)) = multiplication(strong_iteration(X0),X0),
inference(superposition,[],[f1387,f40020]) ).
fof(f45162,plain,
sF7 = addition(multiplication(sF5,sF7),sK0),
inference(superposition,[],[f1376,f58]) ).
fof(f57418,plain,
! [X0] : addition(X0,sF7) = addition(X0,addition(sF7,sF4)),
inference(superposition,[],[f284,f34209]) ).
fof(f57656,plain,
addition(zero,sF7) = addition(sF7,sF4),
inference(superposition,[],[f1347,f57418]) ).
fof(f57822,plain,
sF7 = addition(sF7,sF4),
inference(forward_demodulation,[],[f57656,f1347]) ).
fof(f84383,plain,
( ~ leq(multiplication(sK1,sF7),multiplication(sK1,sF7))
| leq(multiplication(sK1,sF7),multiplication(strong_iteration(sF2),sF2)) ),
inference(superposition,[],[f42,f17232]) ).
fof(f84487,plain,
leq(multiplication(sK1,sF7),multiplication(strong_iteration(sF2),sF2)),
inference(forward_subsumption_resolution,[],[f84383,f403]) ).
fof(f84530,plain,
leq(multiplication(sK1,sF7),multiplication(sF2,strong_iteration(sF2))),
inference(forward_demodulation,[],[f84487,f40057]) ).
fof(f84550,plain,
leq(multiplication(sK1,sF7),multiplication(sF2,sF3)),
inference(forward_demodulation,[],[f84530,f50]) ).
fof(f84578,plain,
multiplication(sF2,sF3) = addition(multiplication(sK1,sF7),multiplication(sF2,sF3)),
inference(resolution,[],[f84550,f44]) ).
fof(f84579,plain,
multiplication(sF2,sF3) = multiplication(sK1,addition(sF7,sF4)),
inference(forward_demodulation,[],[f84578,f313]) ).
fof(f84580,plain,
multiplication(sF2,sF3) = multiplication(sK1,sF7),
inference(forward_demodulation,[],[f84579,f57822]) ).
fof(f84590,plain,
multiplication(sK0,multiplication(sF2,sF3)) = multiplication(sF5,sF7),
inference(superposition,[],[f62,f84580]) ).
fof(f84701,plain,
multiplication(sF5,multiplication(sK0,sF3)) = multiplication(sF5,sF7),
inference(forward_demodulation,[],[f84590,f236]) ).
fof(f84720,plain,
multiplication(sF5,sF4) = multiplication(sF5,sF7),
inference(forward_demodulation,[],[f84701,f52]) ).
fof(f84731,plain,
sF7 = addition(multiplication(sF5,sF4),sK0),
inference(superposition,[],[f45162,f84720]) ).
fof(f84822,plain,
sF4 = sF7,
inference(forward_demodulation,[],[f84731,f8068]) ).
fof(f84834,plain,
$false,
inference(forward_subsumption_resolution,[],[f84822,f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE153+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n010.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 27 13:13:01 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.53 Running first-order theorem proving
% 0.25/0.53 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.54/4.46 % (956692)Detected formulas, will run a generic FOF schedule.
% 22.54/4.46 % (956698)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1226671391:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 22.54/4.46 % (956697)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3716150202:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 22.54/4.46 % (956702)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1642071876:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 22.54/4.46 % (956699)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3586214472:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 22.54/4.46 % (956701)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=5115718:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 22.54/4.46 % (956700)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3528015636:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 22.54/4.46 % (956700)Refutation not found, incomplete strategy
% 22.54/4.46 % (956700)------------------------------
% 22.54/4.46 % (956700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.54/4.46 % (956700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.54/4.46 % (956700)CaDiCaL version: 2.1.3
% 22.54/4.46 % (956700)Termination reason: Refutation not found, incomplete strategy
% 22.54/4.46 % (956700)Time elapsed: 0.002 s
% 22.54/4.46 % (956700)Peak memory usage: 88 MB
% 22.54/4.46 % (956703)dis-21_1_sil=8000:lcm=predicate:random_seed=2462013679:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 22.54/4.46 % (956703)Refutation not found, incomplete strategy
% 22.54/4.46 % (956703)------------------------------
% 22.54/4.46 % (956703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.54/4.46 % (956703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.54/4.46 % (956703)CaDiCaL version: 2.1.3
% 22.54/4.46 % (956703)Termination reason: Refutation not found, incomplete strategy
% 22.54/4.46 % (956703)Time elapsed: 0.003 s
% 22.54/4.46 % (956703)Peak memory usage: 88 MB
% 22.54/4.46 % (956703)Instructions burned: 1 (million)
% 22.54/4.46 % (956701)Instruction limit reached!
% 22.54/4.46 % (956701)------------------------------
% 22.54/4.46 % (956701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.54/4.46 % (956701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.54/4.46 % (956701)CaDiCaL version: 2.1.3
% 22.54/4.46 % (956701)Termination reason: Instruction limit
% 22.54/4.46 % (956701)Termination phase: Saturation
% 22.54/4.46 % (956701)Time elapsed: 0.118 s
% 22.54/4.46 % (956701)Peak memory usage: 89 MB
% 22.54/4.46 % (956701)Instructions burned: 119 (million)
% 22.54/4.46 % (956702)Instruction limit reached!
% 22.54/4.46 % (956702)------------------------------
% 22.54/4.46 % (956702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.54/4.46 % (956702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.54/4.46 % (956702)CaDiCaL version: 2.1.3
% 22.54/4.46 % (956702)Termination reason: Instruction limit
% 22.54/4.46 % (956702)Termination phase: Saturation
% 22.54/4.46 % (956702)Time elapsed: 0.132 s
% 22.54/4.46 % (956702)Peak memory usage: 89 MB
% 22.54/4.46 % (956702)Instructions burned: 140 (million)
% 22.54/4.46 % (956700)------------------------------
% 22.54/4.46 % (956700)------------------------------
% 22.54/4.46 % (956703)------------------------------
% 22.54/4.46 % (956703)------------------------------
% 22.54/4.46 % (956711)lrs+10_1_sil=8000:sp=occurrence:random_seed=2550579056:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 22.54/4.46 % (956712)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3268037915:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 22.54/4.46 % (956712)Instruction limit reached!
% 22.54/4.46 % (956712)------------------------------
% 22.54/4.46 % (956712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.54/4.46 % (956712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.54/4.46 % (956712)CaDiCaL version: 2.1.3
% 29.33/5.49 % (956712)Termination reason: Instruction limit
% 29.33/5.49 % (956712)Termination phase: Saturation
% 29.33/5.49 % (956712)Time elapsed: 0.184 s
% 29.33/5.49 % (956712)Peak memory usage: 91 MB
% 29.33/5.49 % (956712)Instructions burned: 166 (million)
% 29.33/5.49 % (956713)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2803445069:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 29.33/5.49 % (956715)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1375379490:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 29.33/5.49 % (956711)Instruction limit reached!
% 29.33/5.49 % (956711)------------------------------
% 29.33/5.49 % (956711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.33/5.49 % (956711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.33/5.49 % (956711)CaDiCaL version: 2.1.3
% 29.33/5.49 % (956711)Termination reason: Instruction limit
% 29.33/5.49 % (956711)Termination phase: Saturation
% 29.33/5.49 % (956711)Time elapsed: 0.296 s
% 29.33/5.49 % (956711)Peak memory usage: 91 MB
% 29.33/5.49 % (956711)Instructions burned: 286 (million)
% 29.33/5.49 % (956713)Instruction limit reached!
% 29.33/5.49 % (956713)------------------------------
% 29.33/5.49 % (956713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.33/5.49 % (956713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.33/5.49 % (956713)CaDiCaL version: 2.1.3
% 29.33/5.49 % (956713)Termination reason: Instruction limit
% 29.33/5.49 % (956713)Termination phase: Saturation
% 29.33/5.49 % (956713)Time elapsed: 0.169 s
% 29.33/5.49 % (956713)Peak memory usage: 92 MB
% 29.33/5.49 % (956713)Instructions burned: 327 (million)
% 29.33/5.49 % (956717)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3567054544:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 29.33/5.49 % (956717)Refutation not found, incomplete strategy
% 29.33/5.49 % (956717)------------------------------
% 29.33/5.49 % (956717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.33/5.49 % (956717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.33/5.49 % (956717)CaDiCaL version: 2.1.3
% 29.33/5.49 % (956717)Termination reason: Refutation not found, incomplete strategy
% 29.33/5.49 % (956717)Time elapsed: 0.003 s
% 29.33/5.49 % (956717)Peak memory usage: 88 MB
% 29.33/5.49 % (956717)Instructions burned: 1 (million)
% 29.33/5.49 % (956715)Instruction limit reached!
% 29.33/5.49 % (956715)------------------------------
% 29.33/5.49 % (956715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.33/5.49 % (956715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.33/5.49 % (956715)CaDiCaL version: 2.1.3
% 29.33/5.49 % (956715)Termination reason: Instruction limit
% 29.33/5.49 % (956715)Termination phase: Saturation
% 29.33/5.49 % (956715)Time elapsed: 0.238 s
% 29.33/5.49 % (956715)Peak memory usage: 91 MB
% 29.33/5.49 % (956715)Instructions burned: 248 (million)
% 29.33/5.49 % (956699)Refutation not found, incomplete strategy
% 29.33/5.49 % (956699)------------------------------
% 29.33/5.49 % (956699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.33/5.49 % (956699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.33/5.49 % (956699)CaDiCaL version: 2.1.3
% 29.33/5.49 % (956699)Termination reason: Refutation not found, incomplete strategy
% 29.33/5.49 % (956699)Time elapsed: 0.948 s
% 29.33/5.49 % (956699)Peak memory usage: 127 MB
% 29.33/5.49 % (956699)Instructions burned: 883 (million)
% 29.33/5.49 % (956720)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3826205979:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 29.33/5.49 % (956721)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2615972905:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 29.33/5.49 % (956721)Refutation not found, incomplete strategy
% 29.33/5.49 % (956721)------------------------------
% 29.33/5.49 % (956721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.33/5.49 % (956721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.33/5.49 % (956721)CaDiCaL version: 2.1.3
% 29.33/5.49 % (956721)Termination reason: Refutation not found, incomplete strategy
% 29.33/5.49 % (956721)Time elapsed: 0.003 s
% 29.33/5.49 % (956721)Peak memory usage: 88 MB
% 29.33/5.49 % (956721)Instructions burned: 1 (million)
% 29.33/5.49 % (956723)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3308462220:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 50.33/8.31 % (956723)Refutation not found, incomplete strategy
% 50.33/8.31 % (956723)------------------------------
% 50.33/8.31 % (956723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.33/8.31 % (956723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.33/8.31 % (956723)CaDiCaL version: 2.1.3
% 50.33/8.31 % (956723)Termination reason: Refutation not found, incomplete strategy
% 50.33/8.31 % (956723)Time elapsed: 0.002 s
% 50.33/8.31 % (956723)Peak memory usage: 87 MB
% 50.33/8.31 % (956717)------------------------------
% 50.33/8.31 % (956717)------------------------------
% 50.33/8.31 % (956699)------------------------------
% 50.33/8.31 % (956699)------------------------------
% 50.33/8.31 % (956721)------------------------------
% 50.33/8.31 % (956721)------------------------------
% 50.33/8.31 % (956727)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1817697194:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2983 on theBenchmark for (2983ds/114Mi)
% 50.33/8.31 % (956727)Refutation not found, incomplete strategy
% 50.33/8.31 % (956727)------------------------------
% 50.33/8.31 % (956727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.33/8.31 % (956727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.33/8.31 % (956727)CaDiCaL version: 2.1.3
% 50.33/8.31 % (956727)Termination reason: Refutation not found, incomplete strategy
% 50.33/8.31 % (956727)Time elapsed: 0.002 s
% 50.33/8.31 % (956727)Peak memory usage: 88 MB
% 50.33/8.31 % (956723)------------------------------
% 50.33/8.31 % (956723)------------------------------
% 50.33/8.31 % (956728)lrs+10_1_sil=8000:sp=occurrence:random_seed=3531286313:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 50.33/8.31 % (956729)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3361798198:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 50.33/8.31 % (956729)Refutation not found, incomplete strategy
% 50.33/8.31 % (956729)------------------------------
% 50.33/8.31 % (956729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.33/8.31 % (956729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.33/8.31 % (956729)CaDiCaL version: 2.1.3
% 50.33/8.31 % (956729)Termination reason: Refutation not found, incomplete strategy
% 50.33/8.31 % (956729)Time elapsed: 0.003 s
% 50.33/8.31 % (956729)Peak memory usage: 88 MB
% 50.33/8.31 % (956731)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=823053647:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 50.33/8.31 % (956727)------------------------------
% 50.33/8.31 % (956727)------------------------------
% 50.33/8.31 % (956729)------------------------------
% 50.33/8.31 % (956729)------------------------------
% 50.33/8.31 % (956735)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=949441397:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 50.33/8.31 % (956735)Refutation not found, incomplete strategy
% 50.33/8.31 % (956735)------------------------------
% 50.33/8.31 % (956735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.33/8.31 % (956735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.33/8.31 % (956735)CaDiCaL version: 2.1.3
% 50.33/8.31 % (956735)Termination reason: Refutation not found, incomplete strategy
% 50.33/8.31 % (956735)Time elapsed: 0.004 s
% 50.33/8.31 % (956735)Peak memory usage: 89 MB
% 50.33/8.31 % (956735)Instructions burned: 1 (million)
% 50.33/8.31 % (956736)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2220504676:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 50.33/8.31 % (956728)Instruction limit reached!
% 50.33/8.31 % (956728)------------------------------
% 50.33/8.31 % (956728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.33/8.31 % (956728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.33/8.31 % (956728)CaDiCaL version: 2.1.3
% 50.33/8.31 % (956728)Termination reason: Instruction limit
% 50.33/8.31 % (956728)Termination phase: Saturation
% 50.33/8.31 % (956728)Time elapsed: 0.929 s
% 50.33/8.31 % (956728)Peak memory usage: 96 MB
% 50.33/8.31 % (956728)Instructions burned: 908 (million)
% 50.33/8.31 % (956735)------------------------------
% 50.33/8.31 % (956735)------------------------------
% 50.33/8.31 % (956739)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3649916254:st=3:i=13193:sd=3:ss=axioms_2971 on theBenchmark for (2971ds/13193Mi)
% 49.96/9.49 % (956740)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1162280916:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/125Mi)
% 49.96/9.49 % (956736)Instruction limit reached!
% 49.96/9.49 % (956736)------------------------------
% 49.96/9.49 % (956736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.96/9.49 % (956736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.96/9.49 % (956736)CaDiCaL version: 2.1.3
% 49.96/9.49 % (956736)Termination reason: Instruction limit
% 49.96/9.49 % (956736)Termination phase: Saturation
% 49.96/9.49 % (956736)Time elapsed: 0.638 s
% 49.96/9.49 % (956736)Peak memory usage: 98 MB
% 49.96/9.49 % (956736)Instructions burned: 592 (million)
% 49.96/9.49 % (956740)Instruction limit reached!
% 49.96/9.49 % (956740)------------------------------
% 49.96/9.49 % (956740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.96/9.49 % (956740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.96/9.49 % (956740)CaDiCaL version: 2.1.3
% 49.96/9.49 % (956740)Termination reason: Instruction limit
% 49.96/9.49 % (956740)Termination phase: Saturation
% 49.96/9.49 % (956740)Time elapsed: 0.133 s
% 49.96/9.49 % (956740)Peak memory usage: 90 MB
% 49.96/9.49 % (956740)Instructions burned: 125 (million)
% 49.96/9.49 % (956744)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1377395584:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/141Mi)
% 49.96/9.49 % (956744)Refutation not found, incomplete strategy
% 49.96/9.49 % (956744)------------------------------
% 49.96/9.49 % (956744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.96/9.49 % (956744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.96/9.49 % (956744)CaDiCaL version: 2.1.3
% 49.96/9.49 % (956744)Termination reason: Refutation not found, incomplete strategy
% 49.96/9.49 % (956744)Time elapsed: 0.002 s
% 49.96/9.49 % (956744)Peak memory usage: 88 MB
% 49.96/9.49 % (956743)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1923280311:i=134:gtgl=5:slsql=off:gtg=exists_sym_2965 on theBenchmark for (2965ds/134Mi)
% 49.96/9.49 % (956720)Instruction limit reached!
% 49.96/9.49 % (956720)------------------------------
% 49.96/9.49 % (956720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.96/9.49 % (956720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.96/9.49 % (956720)CaDiCaL version: 2.1.3
% 49.96/9.49 % (956720)Termination reason: Instruction limit
% 49.96/9.49 % (956720)Termination phase: Saturation
% 49.96/9.49 % (956720)Time elapsed: 2.499 s
% 49.96/9.49 % (956720)Peak memory usage: 143 MB
% 49.96/9.49 % (956720)Instructions burned: 2350 (million)
% 49.96/9.49 % (956743)Instruction limit reached!
% 49.96/9.49 % (956743)------------------------------
% 49.96/9.49 % (956743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.96/9.49 % (956743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.96/9.49 % (956743)CaDiCaL version: 2.1.3
% 49.96/9.49 % (956743)Termination reason: Instruction limit
% 49.96/9.49 % (956743)Termination phase: Saturation
% 49.96/9.49 % (956743)Time elapsed: 0.139 s
% 49.96/9.49 % (956743)Peak memory usage: 89 MB
% 49.96/9.49 % (956743)Instructions burned: 135 (million)
% 49.96/9.49 % (956747)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=495364431:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2961 on theBenchmark for (2961ds/431Mi)
% 49.96/9.49 % (956747)Refutation not found, incomplete strategy
% 49.96/9.49 % (956747)------------------------------
% 49.96/9.49 % (956747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.96/9.49 % (956747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.96/9.49 % (956747)CaDiCaL version: 2.1.3
% 49.96/9.49 % (956747)Termination reason: Refutation not found, incomplete strategy
% 49.96/9.49 % (956747)Time elapsed: 0.003 s
% 49.96/9.49 % (956747)Peak memory usage: 88 MB
% 49.96/9.49 % (956747)Instructions burned: 1 (million)
% 49.96/9.49 % (956744)------------------------------
% 49.96/9.49 % (956744)------------------------------
% 49.96/9.49 % (956748)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1134268219:i=6060:aac=none:ins=25_2960 on theBenchmark for (2960ds/6060Mi)
% 49.96/9.49 % (956750)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3137530856:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2958 on theBenchmark for (2958ds/150Mi)
% 49.96/9.49 % (956747)------------------------------
% 49.96/9.49 % (956747)------------------------------
% 49.96/9.49 % (956750)Instruction limit reached!
% 49.96/9.49 % (956750)------------------------------
% 49.96/9.49 % (956750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.96/9.49 % (956750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.96/9.49 % (956750)CaDiCaL version: 2.1.3
% 49.96/9.49 % (956750)Termination reason: Instruction limit
% 49.96/9.49 % (956750)Termination phase: Saturation
% 49.96/9.49 % (956750)Time elapsed: 0.155 s
% 49.96/9.49 % (956750)Peak memory usage: 90 MB
% 49.96/9.49 % (956750)Instructions burned: 150 (million)
% 49.96/9.49 % (956753)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2848783254:i=14155:bd=all_2954 on theBenchmark for (2954ds/14155Mi)
% 49.96/9.49 % (956754)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3614432466:i=667:av=off:fsr=off_2953 on theBenchmark for (2953ds/667Mi)
% 49.96/9.49 % (956754)Refutation not found, incomplete strategy
% 49.96/9.49 % (956754)------------------------------
% 49.96/9.49 % (956754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.96/9.49 % (956754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.96/9.49 % (956754)CaDiCaL version: 2.1.3
% 49.96/9.49 % (956754)Termination reason: Refutation not found, incomplete strategy
% 49.96/9.49 % (956754)Time elapsed: 0.003 s
% 49.96/9.49 % (956754)Peak memory usage: 88 MB
% 49.96/9.49 % (956754)------------------------------
% 49.96/9.49 % (956754)------------------------------
% 49.96/9.49 % (956757)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1527251838:s2a=on:i=185:s2at=1.8:fdi=4_2946 on theBenchmark for (2946ds/185Mi)
% 49.96/9.49 % (956757)Instruction limit reached!
% 49.96/9.49 % (956757)------------------------------
% 49.96/9.49 % (956757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.96/9.49 % (956757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.96/9.49 % (956757)CaDiCaL version: 2.1.3
% 49.96/9.49 % (956757)Termination reason: Instruction limit
% 49.96/9.49 % (956757)Termination phase: Saturation
% 49.96/9.49 % (956757)Time elapsed: 0.189 s
% 49.96/9.49 % (956757)Peak memory usage: 90 MB
% 49.96/9.49 % (956757)Instructions burned: 186 (million)
% 49.96/9.49 % (956759)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1493629849:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2941 on theBenchmark for (2941ds/193Mi)
% 49.96/9.49 % (956759)Instruction limit reached!
% 49.96/9.49 % (956759)------------------------------
% 49.96/9.49 % (956759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.96/9.49 % (956759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.96/9.49 % (956759)CaDiCaL version: 2.1.3
% 49.96/9.49 % (956759)Termination reason: Instruction limit
% 49.96/9.49 % (956759)Termination phase: Saturation
% 49.96/9.49 % (956759)Time elapsed: 0.210 s
% 49.96/9.49 % (956759)Peak memory usage: 92 MB
% 49.96/9.49 % (956759)Instructions burned: 194 (million)
% 49.96/9.49 % (956761)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3695619806:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2936 on theBenchmark for (2936ds/4850Mi)
% 49.96/9.49 % (956761)Refutation not found, incomplete strategy
% 49.96/9.49 % (956761)------------------------------
% 49.96/9.49 % (956761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.96/9.49 % (956761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.96/9.49 % (956761)CaDiCaL version: 2.1.3
% 49.96/9.49 % (956761)Termination reason: Refutation not found, incomplete strategy
% 49.96/9.49 % (956761)Time elapsed: 0.002 s
% 49.96/9.49 % (956761)Peak memory usage: 88 MB
% 49.96/9.49 % (956697)First to succeed.
% 49.96/9.49 % (956697)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-956692"
% 49.96/9.49 % (956761)------------------------------
% 49.96/9.49 % (956761)------------------------------
% 49.96/9.49 % (956763)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1007422738:i=12111:sd=1:ss=included_2929 on theBenchmark for (2929ds/12111Mi)
% 49.96/9.49 % (956731)Instruction limit reached!
% 49.96/9.49 % (956731)------------------------------
% 49.96/9.49 % (956731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.96/9.49 % (956731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.96/9.49 % (956731)CaDiCaL version: 2.1.3
% 49.96/9.49 % (956731)Termination reason: Instruction limit
% 49.96/9.49 % (956731)Termination phase: Saturation
% 49.96/9.49 % (956731)Time elapsed: 5.333 s
% 49.96/9.49 % (956731)Peak memory usage: 169 MB
% 49.96/9.49 % (956731)Instructions burned: 5202 (million)
% 49.96/9.49 % (956765)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=539565521:i=319:kws=precedence:fsr=off_2924 on theBenchmark for (2924ds/319Mi)
% 49.96/9.49 % (956697)Refutation found. Thanks to Tanya!
% 49.96/9.49 % SZS status Theorem for theBenchmark
% 49.96/9.49 % SZS output start Proof for theBenchmark
% See solution above
% 58.08/9.70 % (956697)------------------------------
% 58.08/9.70 % (956697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.08/9.70 % (956697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.08/9.70 % (956697)CaDiCaL version: 2.1.3
% 58.08/9.70 % (956697)Termination reason: Refutation
% 58.08/9.70 % (956697)Time elapsed: 6.708 s
% 58.08/9.70 % (956697)Peak memory usage: 234 MB
% 58.08/9.70 % (956697)Instructions burned: 11326 (million)
% 58.08/9.70 % (956697)------------------------------
% 58.08/9.70 % (956697)------------------------------
% 58.08/9.70 % (956692)Success in time 8.217 s
% 58.08/9.70 % Vampire exiting
%------------------------------------------------------------------------------