%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE046+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:40:12 AM UTC 2026
% Result : Theorem 30.83s 5.19s
% Output : Refutation 31.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 25
% Syntax : Number of formulae : 377 ( 242 unt; 11 def)
% Number of atoms : 566 ( 316 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 371 ( 182 ~; 176 |; 3 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 270 ( 0 sgn 268 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_left) ).
fof(f15,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X1)
=> leq(multiplication(star(X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',star_induction_right) ).
fof(f17,conjecture,
! [X0,X1] :
( leq(multiplication(star(X1),star(X0)),multiplication(star(X0),star(X1)))
=> leq(star(addition(X0,X1)),multiplication(star(X0),star(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( leq(multiplication(star(X1),star(X0)),multiplication(star(X0),star(X1)))
=> leq(star(addition(X0,X1)),multiplication(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(addition(X0,X1)),multiplication(star(X0),star(X1)))
& leq(multiplication(star(X1),star(X0)),multiplication(star(X0),star(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(addition(sK0,sK1)),multiplication(star(sK0),star(sK1)))
& leq(multiplication(star(sK1),star(sK0)),multiplication(star(sK0),star(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(f27,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f28,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
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(f35,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f38,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(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(multiplication(star(sK1),star(sK0)),multiplication(star(sK0),star(sK1))),
inference(cnf_transformation,[],[f23]) ).
fof(f42,plain,
~ leq(star(addition(sK0,sK1)),multiplication(star(sK0),star(sK1))),
inference(cnf_transformation,[],[f23]) ).
fof(f43,definition,
sF2 = addition(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f44,plain,
addition(sK0,sK1) = sF2,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF3 = star(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f46,plain,
star(sF2) = sF3,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF4 = star(sK0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f48,plain,
star(sK0) = sF4,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF5 = star(sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f50,plain,
star(sK1) = sF5,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF6 = multiplication(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f52,plain,
multiplication(sF4,sF5) = sF6,
inference(reorient_equations,[],[f51]) ).
fof(f53,plain,
~ leq(sF3,sF6),
inference(definition_folding,[],[f42,f52,f50,f48,f46,f44]) ).
fof(f54,definition,
sF7 = multiplication(sF5,sF4),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f55,plain,
multiplication(sF5,sF4) = sF7,
inference(reorient_equations,[],[f54]) ).
fof(f56,plain,
leq(sF7,sF6),
inference(definition_folding,[],[f41,f52,f50,f48,f55,f48,f50]) ).
fof(f57,plain,
sF6 = addition(sF7,sF6),
inference(resolution,[],[f35,f56]) ).
fof(f58,plain,
! [X0] : multiplication(sF4,addition(sF5,X0)) = addition(sF6,multiplication(sF4,X0)),
inference(superposition,[],[f31,f52]) ).
fof(f60,plain,
! [X0] : multiplication(sF4,addition(X0,sF5)) = addition(multiplication(sF4,X0),sF6),
inference(superposition,[],[f31,f52]) ).
fof(f72,plain,
! [X0,X1] :
( addition(X0,X1) != X0
| leq(X1,X0) ),
inference(superposition,[],[f36,f24]) ).
fof(f73,plain,
! [X2,X0,X1] :
( multiplication(X0,addition(X1,X2)) != multiplication(X0,X2)
| leq(multiplication(X0,X1),multiplication(X0,X2)) ),
inference(superposition,[],[f36,f31]) ).
fof(f88,plain,
! [X0] : multiplication(addition(sF5,X0),sF4) = addition(sF7,multiplication(X0,sF4)),
inference(superposition,[],[f32,f55]) ).
fof(f89,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f32,f30]) ).
fof(f91,plain,
! [X0] : multiplication(addition(X0,sF5),sF4) = addition(multiplication(X0,sF4),sF7),
inference(superposition,[],[f32,f55]) ).
fof(f92,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f32,f30]) ).
fof(f97,plain,
! [X2,X0,X1] :
( multiplication(X1,X2) != multiplication(addition(X0,X1),X2)
| leq(multiplication(X0,X2),multiplication(X1,X2)) ),
inference(superposition,[],[f36,f32]) ).
fof(f106,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f37,f35]) ).
fof(f111,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
inference(forward_demodulation,[],[f106,f25]) ).
fof(f112,plain,
! [X0] : star(X0) = addition(one,multiplication(addition(X0,one),star(X0))),
inference(forward_demodulation,[],[f111,f92]) ).
fof(f115,plain,
! [X0] : multiplication(sF4,multiplication(sF5,X0)) = multiplication(sF6,X0),
inference(superposition,[],[f28,f52]) ).
fof(f116,plain,
! [X0] : multiplication(sF5,multiplication(sF4,X0)) = multiplication(sF7,X0),
inference(superposition,[],[f28,f55]) ).
fof(f132,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f36,f27]) ).
fof(f135,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f132]) ).
fof(f137,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f38,f35]) ).
fof(f141,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
inference(forward_demodulation,[],[f137,f25]) ).
fof(f144,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f25,f27]) ).
fof(f146,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f25,f31]) ).
fof(f147,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X2),addition(multiplication(X1,X2),X3)) = addition(multiplication(addition(X0,X1),X2),X3),
inference(superposition,[],[f25,f32]) ).
fof(f148,plain,
! [X0] : addition(sK0,addition(sK1,X0)) = addition(sF2,X0),
inference(superposition,[],[f25,f44]) ).
fof(f154,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f24,f25]) ).
fof(f155,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f27,f25]) ).
fof(f165,plain,
! [X2,X0,X1] :
( leq(multiplication(star(X0),multiplication(X1,X2)),X2)
| ~ leq(multiplication(addition(X0,X1),X2),X2) ),
inference(superposition,[],[f39,f32]) ).
fof(f170,plain,
! [X0] : star(X0) = addition(one,multiplication(addition(one,X0),star(X0))),
inference(superposition,[],[f112,f24]) ).
fof(f172,plain,
! [X0,X1] : star(addition(X0,X1)) = addition(one,multiplication(addition(X0,addition(X1,one)),star(addition(X0,X1)))),
inference(superposition,[],[f112,f25]) ).
fof(f176,plain,
! [X0,X1] : addition(one,addition(multiplication(addition(X0,one),star(X0)),X1)) = addition(star(X0),X1),
inference(superposition,[],[f25,f112]) ).
fof(f195,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f144,f141]) ).
fof(f196,plain,
sF2 = addition(sK0,sF2),
inference(superposition,[],[f144,f44]) ).
fof(f199,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f36,f144]) ).
fof(f202,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f199]) ).
fof(f211,plain,
! [X0,X1] : leq(X1,addition(X0,X1)),
inference(superposition,[],[f202,f24]) ).
fof(f251,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f31,f29]) ).
fof(f252,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f31,f29]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ leq(multiplication(X0,addition(X1,X2)),X0)
| leq(multiplication(multiplication(X0,X2),star(X1)),X0) ),
inference(superposition,[],[f40,f31]) ).
fof(f311,plain,
! [X2,X0,X1] :
( leq(multiplication(X0,multiplication(X2,star(X1))),X0)
| ~ leq(multiplication(X0,addition(X1,X2)),X0) ),
inference(forward_demodulation,[],[f299,f28]) ).
fof(f315,plain,
sF3 = addition(one,sF3),
inference(superposition,[],[f195,f46]) ).
fof(f316,plain,
sF4 = addition(one,sF4),
inference(superposition,[],[f195,f48]) ).
fof(f317,plain,
sF5 = addition(one,sF5),
inference(superposition,[],[f195,f50]) ).
fof(f330,plain,
! [X0] : addition(sF5,X0) = addition(one,addition(sF5,X0)),
inference(superposition,[],[f25,f317]) ).
fof(f340,plain,
! [X0] : addition(sF2,X0) = addition(sK0,addition(X0,sK1)),
inference(superposition,[],[f148,f24]) ).
fof(f391,plain,
multiplication(addition(one,sF4),sF6) = multiplication(sF4,addition(sF5,sF6)),
inference(superposition,[],[f89,f58]) ).
fof(f397,plain,
multiplication(sF4,addition(sF5,sF6)) = multiplication(sF4,sF6),
inference(forward_demodulation,[],[f391,f316]) ).
fof(f402,plain,
! [X2,X0,X1] : multiplication(addition(multiplication(X0,X1),one),X2) = addition(multiplication(X0,multiplication(X1,X2)),X2),
inference(superposition,[],[f92,f28]) ).
fof(f404,plain,
multiplication(addition(sF4,one),sF5) = addition(sF6,sF5),
inference(superposition,[],[f92,f52]) ).
fof(f475,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,[],[f146,f32]) ).
fof(f555,plain,
! [X2,X0,X1] : addition(multiplication(X1,one),multiplication(addition(X1,X2),star(X0))) = addition(multiplication(X1,star(X0)),multiplication(X2,star(X0))),
inference(superposition,[],[f475,f195]) ).
fof(f557,plain,
! [X0,X1] : addition(multiplication(X0,one),multiplication(addition(X0,X1),sF4)) = addition(multiplication(X0,sF4),multiplication(X1,sF4)),
inference(superposition,[],[f475,f316]) ).
fof(f558,plain,
! [X0,X1] : addition(multiplication(X0,one),multiplication(addition(X0,X1),sF5)) = addition(multiplication(X0,sF5),multiplication(X1,sF5)),
inference(superposition,[],[f475,f317]) ).
fof(f653,plain,
! [X0,X1] : multiplication(addition(X0,X1),sF5) = addition(multiplication(X0,one),multiplication(addition(X0,X1),sF5)),
inference(forward_demodulation,[],[f558,f32]) ).
fof(f654,plain,
! [X0,X1] : multiplication(addition(X0,X1),sF4) = addition(multiplication(X0,one),multiplication(addition(X0,X1),sF4)),
inference(forward_demodulation,[],[f557,f32]) ).
fof(f656,plain,
! [X2,X0,X1] : multiplication(addition(X1,X2),star(X0)) = addition(multiplication(X1,one),multiplication(addition(X1,X2),star(X0))),
inference(forward_demodulation,[],[f555,f32]) ).
fof(f687,plain,
! [X0,X1] : multiplication(addition(X0,X1),sF5) = addition(X0,multiplication(addition(X0,X1),sF5)),
inference(forward_demodulation,[],[f653,f29]) ).
fof(f688,plain,
! [X0,X1] : multiplication(addition(X0,X1),sF4) = addition(X0,multiplication(addition(X0,X1),sF4)),
inference(forward_demodulation,[],[f654,f29]) ).
fof(f690,plain,
! [X2,X0,X1] : multiplication(addition(X1,X2),star(X0)) = addition(X1,multiplication(addition(X1,X2),star(X0))),
inference(forward_demodulation,[],[f656,f29]) ).
fof(f726,plain,
multiplication(sF5,addition(sF4,one)) = addition(sF7,sF5),
inference(superposition,[],[f252,f55]) ).
fof(f732,plain,
! [X0] : multiplication(addition(X0,one),X0) = multiplication(X0,addition(X0,one)),
inference(superposition,[],[f92,f252]) ).
fof(f781,plain,
multiplication(addition(sF4,one),sF6) = multiplication(sF4,addition(sF6,sF5)),
inference(superposition,[],[f92,f60]) ).
fof(f806,plain,
multiplication(sF6,sF4) = multiplication(sF4,sF7),
inference(superposition,[],[f115,f55]) ).
fof(f817,plain,
! [X0] : multiplication(addition(one,sF4),multiplication(sF5,X0)) = addition(multiplication(sF5,X0),multiplication(sF6,X0)),
inference(superposition,[],[f89,f115]) ).
fof(f826,plain,
! [X0] : multiplication(addition(one,sF4),multiplication(sF5,X0)) = multiplication(addition(sF5,sF6),X0),
inference(forward_demodulation,[],[f817,f32]) ).
fof(f833,plain,
! [X0] : multiplication(sF4,multiplication(sF5,X0)) = multiplication(addition(sF5,sF6),X0),
inference(forward_demodulation,[],[f826,f316]) ).
fof(f839,plain,
! [X0] : multiplication(sF6,X0) = multiplication(addition(sF5,sF6),X0),
inference(forward_demodulation,[],[f833,f115]) ).
fof(f840,plain,
! [X0] : multiplication(sF6,multiplication(sF4,X0)) = multiplication(multiplication(sF4,sF7),X0),
inference(superposition,[],[f28,f806]) ).
fof(f870,plain,
! [X0] : multiplication(sF6,multiplication(sF4,X0)) = multiplication(sF4,multiplication(sF7,X0)),
inference(forward_demodulation,[],[f840,f28]) ).
fof(f875,plain,
multiplication(sF7,sF5) = multiplication(sF5,sF6),
inference(superposition,[],[f116,f52]) ).
fof(f1000,plain,
multiplication(sF7,addition(one,sF4)) = multiplication(addition(sF5,sF7),sF4),
inference(superposition,[],[f251,f88]) ).
fof(f1007,plain,
multiplication(addition(sF5,sF7),sF4) = multiplication(sF7,sF4),
inference(forward_demodulation,[],[f1000,f316]) ).
fof(f1282,plain,
! [X0,X1] : addition(X1,star(X0)) = addition(multiplication(addition(X0,one),star(X0)),addition(X1,one)),
inference(superposition,[],[f154,f112]) ).
fof(f1286,plain,
! [X0] : addition(X0,sF5) = addition(sF5,addition(X0,one)),
inference(superposition,[],[f154,f317]) ).
fof(f1466,plain,
! [X2,X0,X1] :
( ~ leq(multiplication(addition(X0,X1),X2),X2)
| addition(multiplication(star(X0),multiplication(X1,X2)),X2) = X2 ),
inference(resolution,[],[f165,f35]) ).
fof(f1484,plain,
! [X2,X0,X1] :
( ~ leq(multiplication(addition(X0,X1),X2),X2)
| multiplication(addition(multiplication(star(X0),X1),one),X2) = X2 ),
inference(forward_demodulation,[],[f1466,f402]) ).
fof(f1549,plain,
! [X0] :
( multiplication(X0,sF5) != multiplication(X0,sF5)
| leq(multiplication(X0,one),multiplication(X0,sF5)) ),
inference(superposition,[],[f73,f317]) ).
fof(f1563,plain,
! [X0] : leq(multiplication(X0,one),multiplication(X0,sF5)),
inference(trivial_inequality_removal,[],[f1549]) ).
fof(f1573,plain,
! [X0] : leq(X0,multiplication(X0,sF5)),
inference(forward_demodulation,[],[f1563,f29]) ).
fof(f1625,plain,
! [X0] : star(multiplication(X0,one)) = addition(one,multiplication(multiplication(addition(one,X0),one),star(multiplication(X0,one)))),
inference(superposition,[],[f170,f89]) ).
fof(f1629,plain,
sF5 = addition(one,multiplication(addition(one,sK1),sF5)),
inference(superposition,[],[f170,f50]) ).
fof(f1646,plain,
sF5 = multiplication(addition(one,sK1),sF5),
inference(forward_demodulation,[],[f1629,f687]) ).
fof(f1650,plain,
! [X0] : star(multiplication(X0,one)) = addition(one,multiplication(addition(one,X0),multiplication(one,star(multiplication(X0,one))))),
inference(forward_demodulation,[],[f1625,f28]) ).
fof(f1658,plain,
! [X0] : star(multiplication(X0,one)) = addition(one,multiplication(addition(one,X0),star(multiplication(X0,one)))),
inference(forward_demodulation,[],[f1650,f30]) ).
fof(f1662,plain,
! [X0] : star(multiplication(X0,one)) = multiplication(addition(one,X0),star(multiplication(X0,one))),
inference(forward_demodulation,[],[f1658,f690]) ).
fof(f1664,plain,
! [X0] : star(X0) = multiplication(addition(one,X0),star(X0)),
inference(forward_demodulation,[],[f1662,f29]) ).
fof(f1726,plain,
multiplication(sF4,addition(addition(sF5,sF6),one)) = addition(multiplication(sF4,sF6),sF4),
inference(superposition,[],[f252,f397]) ).
fof(f1730,plain,
multiplication(sF4,addition(addition(sF5,sF6),one)) = multiplication(sF4,addition(sF6,one)),
inference(forward_demodulation,[],[f1726,f252]) ).
fof(f1752,plain,
multiplication(sF4,addition(sF6,one)) = multiplication(sF4,addition(sF5,addition(sF6,one))),
inference(forward_demodulation,[],[f1730,f25]) ).
fof(f1759,plain,
multiplication(sF4,addition(sF6,sF5)) = multiplication(sF4,addition(sF6,one)),
inference(forward_demodulation,[],[f1752,f1286]) ).
fof(f1811,plain,
leq(sF4,sF6),
inference(superposition,[],[f1573,f52]) ).
fof(f1865,plain,
! [X0] : star(X0) = multiplication(addition(X0,one),star(X0)),
inference(superposition,[],[f1664,f24]) ).
fof(f2243,plain,
sF6 = addition(sF4,sF6),
inference(resolution,[],[f1811,f35]) ).
fof(f2292,plain,
leq(sK1,sF2),
inference(superposition,[],[f211,f44]) ).
fof(f2310,plain,
sF2 = addition(sK1,sF2),
inference(resolution,[],[f2292,f35]) ).
fof(f2368,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,[],[f147,f31]) ).
fof(f2959,plain,
! [X0] :
( multiplication(sF4,X0) != multiplication(sF4,X0)
| leq(multiplication(one,X0),multiplication(sF4,X0)) ),
inference(superposition,[],[f97,f316]) ).
fof(f2972,plain,
! [X0] :
( multiplication(sF6,X0) != multiplication(sF6,X0)
| leq(multiplication(sF7,X0),multiplication(sF6,X0)) ),
inference(superposition,[],[f97,f57]) ).
fof(f2982,plain,
! [X0] : leq(multiplication(sF7,X0),multiplication(sF6,X0)),
inference(trivial_inequality_removal,[],[f2972]) ).
fof(f2986,plain,
! [X0] : leq(multiplication(one,X0),multiplication(sF4,X0)),
inference(trivial_inequality_removal,[],[f2959]) ).
fof(f3003,plain,
! [X0] : leq(X0,multiplication(sF4,X0)),
inference(forward_demodulation,[],[f2986,f30]) ).
fof(f3120,plain,
leq(sF5,sF6),
inference(superposition,[],[f3003,f52]) ).
fof(f3144,plain,
sF6 = addition(sF5,sF6),
inference(resolution,[],[f3120,f35]) ).
fof(f3151,plain,
! [X0] : addition(X0,sF6) = addition(sF6,addition(X0,sF5)),
inference(superposition,[],[f154,f3144]) ).
fof(f3261,plain,
multiplication(addition(one,sK1),addition(one,sF5)) = addition(addition(one,sK1),sF5),
inference(superposition,[],[f251,f1646]) ).
fof(f3267,plain,
multiplication(addition(one,sK1),addition(one,sF5)) = addition(one,addition(sK1,sF5)),
inference(forward_demodulation,[],[f3261,f25]) ).
fof(f3278,plain,
multiplication(addition(one,sK1),sF5) = addition(one,addition(sK1,sF5)),
inference(forward_demodulation,[],[f3267,f317]) ).
fof(f3302,plain,
sF5 = addition(one,addition(sK1,sF5)),
inference(forward_demodulation,[],[f3278,f1646]) ).
fof(f3305,plain,
sF5 = addition(one,addition(sF5,sK1)),
inference(superposition,[],[f3302,f24]) ).
fof(f3333,definition,
( spl8_48
<=> sF5 = addition(sK1,sF5) ),
introduced(definition,[new_symbols(definition,[spl8_48])],[avatar_definition]) ).
fof(f3334,plain,
( sF5 = addition(sK1,sF5)
| ~ spl8_48 ),
inference(avatar_component_clause,[],[f3333]) ).
fof(f3335,plain,
( sF5 != addition(sK1,sF5)
| spl8_48 ),
inference(avatar_component_clause,[],[f3333]) ).
fof(f3338,plain,
sF5 = addition(sF5,sK1),
inference(forward_demodulation,[],[f3305,f330]) ).
fof(f3344,plain,
addition(sF2,sF5) = addition(sK0,sF5),
inference(superposition,[],[f340,f3338]) ).
fof(f3364,plain,
addition(sF2,sF5) = addition(sF5,sK0),
inference(superposition,[],[f24,f3344]) ).
fof(f3392,plain,
addition(sF5,sK0) = addition(sF5,sF2),
inference(superposition,[],[f24,f3364]) ).
fof(f3478,definition,
( spl8_54
<=> sF4 = addition(sK0,sF4) ),
introduced(definition,[new_symbols(definition,[spl8_54])],[avatar_definition]) ).
fof(f3479,plain,
( sF4 = addition(sK0,sF4)
| ~ spl8_54 ),
inference(avatar_component_clause,[],[f3478]) ).
fof(f3480,plain,
( sF4 != addition(sK0,sF4)
| spl8_54 ),
inference(avatar_component_clause,[],[f3478]) ).
fof(f3821,definition,
( spl8_61
<=> sF6 = multiplication(sF6,sF5) ),
introduced(definition,[new_symbols(definition,[spl8_61])],[avatar_definition]) ).
fof(f3822,plain,
( sF6 = multiplication(sF6,sF5)
| ~ spl8_61 ),
inference(avatar_component_clause,[],[f3821]) ).
fof(f3823,plain,
( sF6 != multiplication(sF6,sF5)
| spl8_61 ),
inference(avatar_component_clause,[],[f3821]) ).
fof(f4327,plain,
! [X2,X3,X0,X1] : multiplication(addition(X0,addition(X1,X2)),star(X3)) = addition(X2,multiplication(addition(X0,addition(X1,X2)),star(X3))),
inference(superposition,[],[f690,f154]) ).
fof(f4530,plain,
! [X0] : star(X0) = addition(X0,star(X0)),
inference(superposition,[],[f690,f1865]) ).
fof(f4532,plain,
! [X0] :
( ~ leq(star(X0),star(X0))
| star(X0) = multiplication(addition(multiplication(star(X0),one),one),star(X0)) ),
inference(superposition,[],[f1484,f1865]) ).
fof(f4541,plain,
! [X0,X1] : addition(multiplication(X1,star(X0)),star(X0)) = multiplication(addition(X1,addition(X0,one)),star(X0)),
inference(superposition,[],[f32,f1865]) ).
fof(f4567,plain,
! [X0,X1] : multiplication(addition(X1,one),star(X0)) = multiplication(addition(X1,addition(X0,one)),star(X0)),
inference(forward_demodulation,[],[f4541,f92]) ).
fof(f4569,plain,
! [X0] : star(X0) = multiplication(addition(multiplication(star(X0),one),one),star(X0)),
inference(forward_subsumption_resolution,[],[f4532,f135]) ).
fof(f4579,plain,
! [X0] : star(X0) = multiplication(multiplication(addition(star(X0),one),one),star(X0)),
inference(forward_demodulation,[],[f4569,f92]) ).
fof(f4586,plain,
! [X0] : star(X0) = multiplication(addition(star(X0),one),multiplication(one,star(X0))),
inference(forward_demodulation,[],[f4579,f28]) ).
fof(f4589,plain,
! [X0] : star(X0) = multiplication(addition(star(X0),one),star(X0)),
inference(forward_demodulation,[],[f4586,f30]) ).
fof(f4590,plain,
! [X0] : star(X0) = multiplication(star(X0),addition(star(X0),one)),
inference(forward_demodulation,[],[f4589,f732]) ).
fof(f4592,plain,
sF4 = addition(sK0,sF4),
inference(superposition,[],[f4530,f48]) ).
fof(f4593,plain,
sF5 = addition(sK1,sF5),
inference(superposition,[],[f4530,f50]) ).
fof(f4631,plain,
( $false
| spl8_48 ),
inference(forward_subsumption_resolution,[],[f4593,f3335]) ).
fof(f4632,plain,
spl8_48,
inference(avatar_contradiction_clause,[],[f4631]) ).
fof(f4633,plain,
( $false
| spl8_54 ),
inference(forward_subsumption_resolution,[],[f4592,f3480]) ).
fof(f4634,plain,
spl8_54,
inference(avatar_contradiction_clause,[],[f4633]) ).
fof(f5056,plain,
! [X0] : addition(multiplication(addition(X0,one),star(X0)),one) = addition(multiplication(addition(X0,one),star(X0)),addition(star(X0),one)),
inference(superposition,[],[f155,f176]) ).
fof(f5089,plain,
! [X0] : addition(multiplication(addition(X0,one),star(X0)),one) = addition(star(X0),star(X0)),
inference(forward_demodulation,[],[f5056,f1282]) ).
fof(f5135,plain,
! [X0] : star(X0) = addition(multiplication(addition(X0,one),star(X0)),one),
inference(forward_demodulation,[],[f5089,f27]) ).
fof(f5157,plain,
! [X0] : star(X0) = addition(star(X0),one),
inference(forward_demodulation,[],[f5135,f1865]) ).
fof(f5171,plain,
sF4 = addition(sF4,one),
inference(superposition,[],[f5157,f48]) ).
fof(f5172,plain,
sF5 = addition(sF5,one),
inference(superposition,[],[f5157,f50]) ).
fof(f5245,plain,
multiplication(addition(sF4,one),addition(sF5,one)) = addition(addition(sF6,sF5),addition(sF4,one)),
inference(superposition,[],[f252,f404]) ).
fof(f5252,plain,
multiplication(addition(sF4,one),addition(sF5,one)) = addition(sF6,addition(sF5,addition(sF4,one))),
inference(forward_demodulation,[],[f5245,f25]) ).
fof(f5279,plain,
multiplication(addition(sF4,one),addition(sF5,one)) = addition(sF6,addition(sF4,sF5)),
inference(forward_demodulation,[],[f5252,f1286]) ).
fof(f5304,plain,
addition(sF4,sF6) = multiplication(addition(sF4,one),addition(sF5,one)),
inference(forward_demodulation,[],[f5279,f3151]) ).
fof(f5318,plain,
addition(sF4,sF6) = multiplication(addition(sF4,one),sF5),
inference(forward_demodulation,[],[f5304,f5172]) ).
fof(f5324,plain,
addition(sF4,sF6) = addition(sF6,sF5),
inference(forward_demodulation,[],[f5318,f404]) ).
fof(f5331,plain,
sF6 = addition(sF6,sF5),
inference(forward_demodulation,[],[f5324,f2243]) ).
fof(f6338,plain,
multiplication(addition(addition(sF5,sF7),one),sF4) = addition(multiplication(sF7,sF4),sF4),
inference(superposition,[],[f92,f1007]) ).
fof(f6367,plain,
multiplication(addition(addition(sF5,sF7),one),sF4) = multiplication(addition(sF7,one),sF4),
inference(forward_demodulation,[],[f6338,f92]) ).
fof(f6382,plain,
multiplication(addition(sF7,one),sF4) = multiplication(addition(sF5,addition(sF7,one)),sF4),
inference(forward_demodulation,[],[f6367,f25]) ).
fof(f6387,plain,
multiplication(addition(sF7,one),sF4) = multiplication(addition(sF7,sF5),sF4),
inference(forward_demodulation,[],[f6382,f1286]) ).
fof(f7366,plain,
( multiplication(sF5,sF4) = addition(sK1,multiplication(sF5,sF4))
| ~ spl8_48 ),
inference(superposition,[],[f688,f3334]) ).
fof(f7478,plain,
( sF7 = addition(sK1,sF7)
| ~ spl8_48 ),
inference(forward_demodulation,[],[f7366,f55]) ).
fof(f7591,plain,
( addition(sF2,sF7) = addition(sK0,sF7)
| ~ spl8_48 ),
inference(superposition,[],[f148,f7478]) ).
fof(f7895,plain,
( multiplication(sF4,sF5) = addition(sK0,multiplication(sF4,sF5))
| ~ spl8_54 ),
inference(superposition,[],[f687,f3479]) ).
fof(f8019,plain,
( sF6 = addition(sK0,sF6)
| ~ spl8_54 ),
inference(forward_demodulation,[],[f7895,f52]) ).
fof(f8067,plain,
( sF6 = addition(sF6,sK0)
| ~ spl8_54 ),
inference(superposition,[],[f24,f8019]) ).
fof(f9738,definition,
( spl8_118
<=> sF7 = addition(sF2,sF7) ),
introduced(definition,[new_symbols(definition,[spl8_118])],[avatar_definition]) ).
fof(f9739,plain,
( sF7 = addition(sF2,sF7)
| ~ spl8_118 ),
inference(avatar_component_clause,[],[f9738]) ).
fof(f9740,plain,
( sF7 != addition(sF2,sF7)
| spl8_118 ),
inference(avatar_component_clause,[],[f9738]) ).
fof(f9851,plain,
! [X0] : multiplication(addition(addition(sF5,sF6),one),X0) = addition(multiplication(sF6,X0),X0),
inference(superposition,[],[f92,f839]) ).
fof(f9961,plain,
! [X0] : multiplication(addition(addition(sF5,sF6),one),X0) = multiplication(addition(sF6,one),X0),
inference(forward_demodulation,[],[f9851,f92]) ).
fof(f9989,plain,
! [X0] : multiplication(addition(sF6,one),X0) = multiplication(addition(sF5,addition(sF6,one)),X0),
inference(forward_demodulation,[],[f9961,f25]) ).
fof(f10002,plain,
! [X0] : multiplication(addition(sF6,sF5),X0) = multiplication(addition(sF6,one),X0),
inference(forward_demodulation,[],[f9989,f1286]) ).
fof(f10007,plain,
! [X0] : multiplication(sF6,X0) = multiplication(addition(sF6,one),X0),
inference(forward_demodulation,[],[f10002,f5331]) ).
fof(f10036,plain,
! [X0,X1] : addition(multiplication(X0,sF4),multiplication(addition(X0,X1),one)) = addition(multiplication(X0,sF4),multiplication(X1,one)),
inference(superposition,[],[f475,f5171]) ).
fof(f10052,plain,
! [X0,X1] : addition(multiplication(X0,sF4),X1) = addition(multiplication(X0,sF4),multiplication(addition(X0,X1),one)),
inference(forward_demodulation,[],[f10036,f29]) ).
fof(f10067,plain,
! [X0,X1] : addition(multiplication(X0,sF4),X1) = addition(multiplication(X0,sF4),addition(X0,X1)),
inference(forward_demodulation,[],[f10052,f29]) ).
fof(f10265,plain,
! [X0,X1] : addition(multiplication(sF5,X0),multiplication(sF5,X1)) = addition(multiplication(one,X0),multiplication(sF5,addition(X0,X1))),
inference(superposition,[],[f2368,f317]) ).
fof(f10641,plain,
! [X0,X1] : addition(multiplication(sF5,X0),multiplication(sF5,X1)) = addition(X0,multiplication(sF5,addition(X0,X1))),
inference(forward_demodulation,[],[f10265,f30]) ).
fof(f10772,plain,
! [X0,X1] : multiplication(sF5,addition(X0,X1)) = addition(X0,multiplication(sF5,addition(X0,X1))),
inference(forward_demodulation,[],[f10641,f31]) ).
fof(f11883,plain,
multiplication(addition(sF7,sF5),sF4) = multiplication(sF7,addition(sF4,one)),
inference(superposition,[],[f252,f91]) ).
fof(f11939,plain,
multiplication(sF7,sF4) = multiplication(addition(sF7,sF5),sF4),
inference(forward_demodulation,[],[f11883,f5171]) ).
fof(f11960,plain,
multiplication(sF7,sF4) = multiplication(addition(sF7,one),sF4),
inference(forward_demodulation,[],[f11939,f6387]) ).
fof(f14905,plain,
( multiplication(sF5,sF4) = addition(sK0,multiplication(sF5,sF4))
| ~ spl8_54 ),
inference(superposition,[],[f10772,f3479]) ).
fof(f15080,plain,
( sF7 = addition(sK0,sF7)
| ~ spl8_54 ),
inference(forward_demodulation,[],[f14905,f55]) ).
fof(f15117,plain,
( sF7 = addition(sF2,sF7)
| ~ spl8_48
| ~ spl8_54 ),
inference(forward_demodulation,[],[f15080,f7591]) ).
fof(f15131,plain,
( $false
| ~ spl8_48
| ~ spl8_54
| spl8_118 ),
inference(forward_subsumption_resolution,[],[f15117,f9740]) ).
fof(f15132,plain,
( ~ spl8_48
| ~ spl8_54
| spl8_118 ),
inference(avatar_contradiction_clause,[],[f15131]) ).
fof(f15137,plain,
( ! [X0] :
( multiplication(X0,sF7) != multiplication(X0,sF7)
| leq(multiplication(X0,sF2),multiplication(X0,sF7)) )
| ~ spl8_118 ),
inference(superposition,[],[f73,f9739]) ).
fof(f15164,plain,
( ! [X0] : leq(multiplication(X0,sF2),multiplication(X0,sF7))
| ~ spl8_118 ),
inference(trivial_inequality_removal,[],[f15137]) ).
fof(f16901,plain,
! [X0] : star(X0) = multiplication(star(X0),star(X0)),
inference(superposition,[],[f4590,f5157]) ).
fof(f17044,plain,
sF4 = multiplication(sF4,sF4),
inference(superposition,[],[f16901,f48]) ).
fof(f17045,plain,
sF5 = multiplication(sF5,sF5),
inference(superposition,[],[f16901,f50]) ).
fof(f17113,plain,
multiplication(sF5,sF4) = multiplication(sF7,sF4),
inference(superposition,[],[f116,f17044]) ).
fof(f17120,plain,
! [X0] : multiplication(sF4,X0) = multiplication(sF4,multiplication(sF4,X0)),
inference(superposition,[],[f28,f17044]) ).
fof(f17165,plain,
sF7 = multiplication(sF7,sF4),
inference(forward_demodulation,[],[f17113,f55]) ).
fof(f17182,plain,
multiplication(sF4,sF5) = multiplication(sF6,sF5),
inference(superposition,[],[f115,f17045]) ).
fof(f17232,plain,
sF6 = multiplication(sF6,sF5),
inference(forward_demodulation,[],[f17182,f52]) ).
fof(f17241,plain,
( $false
| spl8_61 ),
inference(forward_subsumption_resolution,[],[f17232,f3823]) ).
fof(f17242,plain,
spl8_61,
inference(avatar_contradiction_clause,[],[f17241]) ).
fof(f17309,plain,
( leq(multiplication(sF7,sF5),sF6)
| ~ spl8_61 ),
inference(superposition,[],[f2982,f3822]) ).
fof(f17357,plain,
( leq(multiplication(sF5,sF6),sF6)
| ~ spl8_61 ),
inference(forward_demodulation,[],[f17309,f875]) ).
fof(f17366,plain,
( sF6 = addition(multiplication(sF5,sF6),sF6)
| ~ spl8_61 ),
inference(resolution,[],[f17357,f35]) ).
fof(f17367,plain,
( sF6 = multiplication(addition(sF5,one),sF6)
| ~ spl8_61 ),
inference(forward_demodulation,[],[f17366,f92]) ).
fof(f17368,plain,
( sF6 = multiplication(sF5,sF6)
| ~ spl8_61 ),
inference(forward_demodulation,[],[f17367,f5172]) ).
fof(f17374,plain,
( multiplication(sF4,sF6) = multiplication(sF6,sF6)
| ~ spl8_61 ),
inference(superposition,[],[f115,f17368]) ).
fof(f17381,plain,
( ! [X0] : multiplication(sF6,X0) = multiplication(sF5,multiplication(sF6,X0))
| ~ spl8_61 ),
inference(superposition,[],[f28,f17368]) ).
fof(f17448,plain,
( addition(multiplication(sF4,sF6),sF6) = multiplication(addition(sF6,one),sF6)
| ~ spl8_61 ),
inference(superposition,[],[f92,f17374]) ).
fof(f17478,plain,
( addition(multiplication(sF4,sF6),sF6) = multiplication(sF6,sF6)
| ~ spl8_61 ),
inference(forward_demodulation,[],[f17448,f10007]) ).
fof(f17489,plain,
( multiplication(sF4,sF6) = addition(multiplication(sF4,sF6),sF6)
| ~ spl8_61 ),
inference(forward_demodulation,[],[f17478,f17374]) ).
fof(f17495,plain,
( multiplication(sF4,sF6) = multiplication(addition(sF4,one),sF6)
| ~ spl8_61 ),
inference(forward_demodulation,[],[f17489,f92]) ).
fof(f17497,plain,
( multiplication(sF4,sF6) = multiplication(sF4,addition(sF6,sF5))
| ~ spl8_61 ),
inference(forward_demodulation,[],[f17495,f781]) ).
fof(f17499,plain,
( multiplication(sF4,sF6) = multiplication(sF4,addition(sF6,one))
| ~ spl8_61 ),
inference(forward_demodulation,[],[f17497,f1759]) ).
fof(f18272,plain,
( multiplication(sF4,sF6) = multiplication(sF5,multiplication(sF4,sF6))
| ~ spl8_61 ),
inference(superposition,[],[f17381,f17374]) ).
fof(f18331,plain,
( multiplication(sF4,sF6) = multiplication(sF7,sF6)
| ~ spl8_61 ),
inference(forward_demodulation,[],[f18272,f116]) ).
fof(f20819,plain,
multiplication(addition(sF7,one),addition(sF4,one)) = addition(multiplication(sF7,sF4),addition(sF7,one)),
inference(superposition,[],[f252,f11960]) ).
fof(f20843,plain,
multiplication(addition(sF7,one),addition(sF4,one)) = addition(multiplication(sF7,sF4),one),
inference(forward_demodulation,[],[f20819,f10067]) ).
fof(f20879,plain,
addition(sF7,one) = multiplication(addition(sF7,one),addition(sF4,one)),
inference(forward_demodulation,[],[f20843,f17165]) ).
fof(f20902,plain,
addition(sF7,one) = multiplication(addition(sF7,one),sF4),
inference(forward_demodulation,[],[f20879,f5171]) ).
fof(f20916,plain,
addition(sF7,one) = multiplication(sF7,sF4),
inference(forward_demodulation,[],[f20902,f11960]) ).
fof(f20925,plain,
sF7 = addition(sF7,one),
inference(forward_demodulation,[],[f20916,f17165]) ).
fof(f20983,plain,
! [X0,X1] : addition(multiplication(sF7,X0),multiplication(one,addition(X0,X1))) = addition(multiplication(sF7,X0),multiplication(one,X1)),
inference(superposition,[],[f2368,f20925]) ).
fof(f20993,plain,
! [X0,X1] : addition(multiplication(sF7,X0),X1) = addition(multiplication(sF7,X0),multiplication(one,addition(X0,X1))),
inference(forward_demodulation,[],[f20983,f30]) ).
fof(f21015,plain,
! [X0,X1] : addition(multiplication(sF7,X0),X1) = addition(multiplication(sF7,X0),addition(X0,X1)),
inference(forward_demodulation,[],[f20993,f30]) ).
fof(f21119,plain,
addition(multiplication(sF7,sF5),sF5) = addition(multiplication(sF7,sF5),one),
inference(superposition,[],[f21015,f5172]) ).
fof(f21120,plain,
addition(multiplication(sF7,sF5),sK0) = addition(multiplication(sF7,sF5),addition(sF5,sF2)),
inference(superposition,[],[f21015,f3392]) ).
fof(f21229,plain,
addition(multiplication(sF7,sF5),sK0) = addition(multiplication(sF7,sF5),sF2),
inference(forward_demodulation,[],[f21120,f21015]) ).
fof(f21230,plain,
addition(multiplication(sF5,sF6),sF5) = addition(multiplication(sF5,sF6),one),
inference(forward_demodulation,[],[f21119,f875]) ).
fof(f21309,plain,
addition(multiplication(sF5,sF6),sK0) = addition(multiplication(sF5,sF6),sF2),
inference(forward_demodulation,[],[f21229,f875]) ).
fof(f21310,plain,
( addition(sF6,sF5) = addition(sF6,one)
| ~ spl8_61 ),
inference(forward_demodulation,[],[f21230,f17368]) ).
fof(f21362,plain,
( addition(sF6,sK0) = addition(sF6,sF2)
| ~ spl8_61 ),
inference(forward_demodulation,[],[f21309,f17368]) ).
fof(f21363,plain,
( sF6 = addition(sF6,one)
| ~ spl8_61 ),
inference(forward_demodulation,[],[f21310,f5331]) ).
fof(f21388,plain,
( sF6 = addition(sF6,sF2)
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f21362,f8067]) ).
fof(f21443,plain,
( addition(multiplication(sF7,sF6),sF6) = addition(multiplication(sF7,sF6),sF2)
| ~ spl8_54
| ~ spl8_61 ),
inference(superposition,[],[f21015,f21388]) ).
fof(f21445,plain,
( addition(multiplication(sF4,sF6),sF6) = addition(multiplication(sF4,sF6),sF2)
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f21443,f18331]) ).
fof(f21460,plain,
( multiplication(addition(sF4,one),sF6) = addition(multiplication(sF4,sF6),sF2)
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f21445,f92]) ).
fof(f21465,plain,
( multiplication(sF4,addition(sF6,sF5)) = addition(multiplication(sF4,sF6),sF2)
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f21460,f781]) ).
fof(f21466,plain,
( multiplication(sF4,addition(sF6,one)) = addition(multiplication(sF4,sF6),sF2)
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f21465,f1759]) ).
fof(f21467,plain,
( multiplication(sF4,sF6) = addition(multiplication(sF4,sF6),sF2)
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f21466,f17499]) ).
fof(f21590,plain,
( ! [X0,X1] : addition(multiplication(sF6,X0),multiplication(one,addition(X0,X1))) = addition(multiplication(sF6,X0),multiplication(one,X1))
| ~ spl8_61 ),
inference(superposition,[],[f2368,f21363]) ).
fof(f21602,plain,
( ! [X0,X1] : addition(multiplication(sF6,X0),X1) = addition(multiplication(sF6,X0),multiplication(one,addition(X0,X1)))
| ~ spl8_61 ),
inference(forward_demodulation,[],[f21590,f30]) ).
fof(f21626,plain,
( ! [X0,X1] : addition(multiplication(sF6,X0),X1) = addition(multiplication(sF6,X0),addition(X0,X1))
| ~ spl8_61 ),
inference(forward_demodulation,[],[f21602,f30]) ).
fof(f22344,plain,
( ! [X0] : addition(multiplication(sF6,star(X0)),one) = addition(multiplication(sF6,star(X0)),star(X0))
| ~ spl8_61 ),
inference(superposition,[],[f21626,f5157]) ).
fof(f22503,plain,
( ! [X0] : multiplication(addition(sF6,one),star(X0)) = addition(multiplication(sF6,star(X0)),one)
| ~ spl8_61 ),
inference(forward_demodulation,[],[f22344,f92]) ).
fof(f22589,plain,
( ! [X0] : multiplication(sF6,star(X0)) = addition(multiplication(sF6,star(X0)),one)
| ~ spl8_61 ),
inference(forward_demodulation,[],[f22503,f10007]) ).
fof(f23911,plain,
! [X2,X0,X1] :
( ~ leq(multiplication(X0,addition(X1,X2)),X0)
| addition(multiplication(X0,multiplication(X2,star(X1))),X0) = X0 ),
inference(resolution,[],[f311,f35]) ).
fof(f23955,plain,
! [X2,X0,X1] :
( ~ leq(multiplication(X0,addition(X1,X2)),X0)
| multiplication(X0,addition(multiplication(X2,star(X1)),one)) = X0 ),
inference(forward_demodulation,[],[f23911,f252]) ).
fof(f24060,plain,
( ! [X0] :
( ~ leq(multiplication(X0,sF6),X0)
| multiplication(X0,addition(multiplication(sF6,star(sK0)),one)) = X0 )
| ~ spl8_54 ),
inference(superposition,[],[f23955,f8019]) ).
fof(f24206,plain,
( ! [X0] :
( multiplication(X0,multiplication(sF6,star(sK0))) = X0
| ~ leq(multiplication(X0,sF6),X0) )
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f24060,f22589]) ).
fof(f24302,plain,
( ! [X0] :
( multiplication(X0,multiplication(sF6,sF4)) = X0
| ~ leq(multiplication(X0,sF6),X0) )
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f24206,f48]) ).
fof(f24360,plain,
( ! [X0] :
( ~ leq(multiplication(X0,sF6),X0)
| multiplication(X0,multiplication(sF4,sF7)) = X0 )
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f24302,f806]) ).
fof(f26161,plain,
multiplication(sF5,sF4) = addition(sF7,sF5),
inference(superposition,[],[f726,f5171]) ).
fof(f26268,plain,
sF7 = addition(sF7,sF5),
inference(forward_demodulation,[],[f26161,f55]) ).
fof(f27049,plain,
star(sF2) = addition(one,multiplication(addition(sK0,addition(sF2,one)),star(sF2))),
inference(superposition,[],[f172,f196]) ).
fof(f27055,plain,
star(sF2) = addition(one,multiplication(addition(sK1,addition(sF2,one)),star(sF2))),
inference(superposition,[],[f172,f2310]) ).
fof(f27270,plain,
star(sF2) = multiplication(addition(sK1,addition(sF2,one)),star(sF2)),
inference(forward_demodulation,[],[f27055,f4327]) ).
fof(f27276,plain,
star(sF2) = multiplication(addition(sK0,addition(sF2,one)),star(sF2)),
inference(forward_demodulation,[],[f27049,f4327]) ).
fof(f27493,plain,
star(sF2) = multiplication(addition(sK1,one),star(sF2)),
inference(forward_demodulation,[],[f27270,f4567]) ).
fof(f27499,plain,
star(sF2) = multiplication(addition(sK0,one),star(sF2)),
inference(forward_demodulation,[],[f27276,f4567]) ).
fof(f27670,plain,
sF3 = multiplication(addition(sK1,one),sF3),
inference(forward_demodulation,[],[f27493,f46]) ).
fof(f27674,plain,
sF3 = multiplication(addition(sK0,one),sF3),
inference(forward_demodulation,[],[f27499,f46]) ).
fof(f27918,plain,
( ~ leq(sF3,sF3)
| sF3 = multiplication(addition(multiplication(star(sK1),one),one),sF3) ),
inference(superposition,[],[f1484,f27670]) ).
fof(f27990,plain,
sF3 = multiplication(addition(multiplication(star(sK1),one),one),sF3),
inference(forward_subsumption_resolution,[],[f27918,f135]) ).
fof(f28006,plain,
sF3 = multiplication(multiplication(addition(star(sK1),one),one),sF3),
inference(forward_demodulation,[],[f27990,f92]) ).
fof(f28015,plain,
sF3 = multiplication(addition(star(sK1),one),multiplication(one,sF3)),
inference(forward_demodulation,[],[f28006,f28]) ).
fof(f28021,plain,
sF3 = multiplication(addition(star(sK1),one),sF3),
inference(forward_demodulation,[],[f28015,f30]) ).
fof(f28022,plain,
sF3 = multiplication(star(sK1),sF3),
inference(forward_demodulation,[],[f28021,f5157]) ).
fof(f28023,plain,
sF3 = multiplication(sF5,sF3),
inference(forward_demodulation,[],[f28022,f50]) ).
fof(f28028,plain,
multiplication(sF6,sF3) = multiplication(sF4,sF3),
inference(superposition,[],[f115,f28023]) ).
fof(f28055,plain,
multiplication(sF5,addition(one,sF3)) = addition(sF5,sF3),
inference(superposition,[],[f251,f28023]) ).
fof(f28072,plain,
multiplication(sF5,sF3) = addition(sF5,sF3),
inference(forward_demodulation,[],[f28055,f315]) ).
fof(f28094,plain,
sF3 = addition(sF5,sF3),
inference(forward_demodulation,[],[f28072,f28023]) ).
fof(f28859,plain,
( ~ leq(sF3,sF3)
| sF3 = multiplication(addition(multiplication(star(sK0),one),one),sF3) ),
inference(superposition,[],[f1484,f27674]) ).
fof(f28932,plain,
sF3 = multiplication(addition(multiplication(star(sK0),one),one),sF3),
inference(forward_subsumption_resolution,[],[f28859,f135]) ).
fof(f28948,plain,
sF3 = multiplication(multiplication(addition(star(sK0),one),one),sF3),
inference(forward_demodulation,[],[f28932,f92]) ).
fof(f28957,plain,
sF3 = multiplication(addition(star(sK0),one),multiplication(one,sF3)),
inference(forward_demodulation,[],[f28948,f28]) ).
fof(f28963,plain,
sF3 = multiplication(addition(star(sK0),one),sF3),
inference(forward_demodulation,[],[f28957,f30]) ).
fof(f28964,plain,
sF3 = multiplication(star(sK0),sF3),
inference(forward_demodulation,[],[f28963,f5157]) ).
fof(f28965,plain,
sF3 = multiplication(sF4,sF3),
inference(forward_demodulation,[],[f28964,f48]) ).
fof(f28983,plain,
addition(sF6,sF3) = multiplication(sF4,addition(sF5,sF3)),
inference(superposition,[],[f58,f28965]) ).
fof(f29046,plain,
multiplication(sF4,sF3) = addition(sF6,sF3),
inference(forward_demodulation,[],[f28983,f28094]) ).
fof(f29054,plain,
sF3 = addition(sF6,sF3),
inference(forward_demodulation,[],[f29046,f28965]) ).
fof(f29138,plain,
( sF3 != sF6
| leq(sF3,sF6) ),
inference(superposition,[],[f72,f29054]) ).
fof(f29183,plain,
sF3 != sF6,
inference(forward_subsumption_resolution,[],[f29138,f53]) ).
fof(f36600,plain,
( ~ leq(multiplication(sF4,sF6),sF6)
| sF6 = multiplication(sF6,multiplication(sF4,sF7))
| ~ spl8_54
| ~ spl8_61 ),
inference(superposition,[],[f24360,f17374]) ).
fof(f41757,plain,
( addition(multiplication(multiplication(sF4,sF6),sF4),multiplication(sF4,sF6)) = addition(multiplication(multiplication(sF4,sF6),sF4),sF2)
| ~ spl8_54
| ~ spl8_61 ),
inference(superposition,[],[f10067,f21467]) ).
fof(f41851,plain,
( addition(multiplication(sF6,sF4),sF6) = addition(multiplication(sF6,sF4),sF2)
| ~ spl8_54
| ~ spl8_61 ),
inference(superposition,[],[f10067,f21388]) ).
fof(f41972,plain,
( addition(multiplication(sF4,sF7),sF6) = addition(multiplication(sF4,sF7),sF2)
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f41851,f806]) ).
fof(f42051,plain,
( addition(multiplication(sF4,multiplication(sF6,sF4)),multiplication(sF4,sF6)) = addition(multiplication(sF4,multiplication(sF6,sF4)),sF2)
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f41757,f28]) ).
fof(f42129,plain,
( multiplication(sF4,addition(sF7,sF5)) = addition(multiplication(sF4,sF7),sF2)
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f41972,f60]) ).
fof(f42199,plain,
( addition(multiplication(sF4,multiplication(sF4,sF7)),multiplication(sF4,sF6)) = addition(multiplication(sF4,multiplication(sF4,sF7)),sF2)
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f42051,f806]) ).
fof(f42253,plain,
( multiplication(sF4,sF7) = addition(multiplication(sF4,sF7),sF2)
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f42129,f26268]) ).
fof(f42287,plain,
( addition(multiplication(sF4,sF7),sF2) = addition(multiplication(sF4,sF7),multiplication(sF4,sF6))
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f42199,f17120]) ).
fof(f42339,plain,
( multiplication(sF4,addition(sF7,sF6)) = addition(multiplication(sF4,sF7),sF2)
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f42287,f31]) ).
fof(f42370,plain,
( multiplication(sF4,sF7) = multiplication(sF4,addition(sF7,sF6))
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f42339,f42253]) ).
fof(f42394,plain,
( multiplication(sF4,sF6) = multiplication(sF4,sF7)
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f42370,f57]) ).
fof(f42438,plain,
( ! [X0] : multiplication(sF4,multiplication(sF7,X0)) = multiplication(multiplication(sF4,sF6),X0)
| ~ spl8_54
| ~ spl8_61 ),
inference(superposition,[],[f28,f42394]) ).
fof(f42485,plain,
( ! [X0] : multiplication(sF4,multiplication(sF7,X0)) = multiplication(sF4,multiplication(sF6,X0))
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f42438,f28]) ).
fof(f44858,definition,
( spl8_301
<=> leq(multiplication(sF6,sF2),sF6) ),
introduced(definition,[new_symbols(definition,[spl8_301])],[avatar_definition]) ).
fof(f44859,plain,
( leq(multiplication(sF6,sF2),sF6)
| ~ spl8_301 ),
inference(avatar_component_clause,[],[f44858]) ).
fof(f44860,plain,
( ~ leq(multiplication(sF6,sF2),sF6)
| spl8_301 ),
inference(avatar_component_clause,[],[f44858]) ).
fof(f48711,plain,
! [X0] : multiplication(sF6,X0) = multiplication(sF4,multiplication(sF6,X0)),
inference(superposition,[],[f17120,f115]) ).
fof(f48717,plain,
sF6 = multiplication(sF4,sF6),
inference(superposition,[],[f17120,f52]) ).
fof(f48931,plain,
( ~ leq(sF6,sF6)
| sF6 = multiplication(sF6,multiplication(sF4,sF7))
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f36600,f48717]) ).
fof(f48944,plain,
( sF6 = multiplication(sF6,multiplication(sF4,sF7))
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_subsumption_resolution,[],[f48931,f135]) ).
fof(f48954,plain,
( sF6 = multiplication(sF4,multiplication(sF7,sF7))
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f48944,f870]) ).
fof(f48961,plain,
( sF6 = multiplication(sF4,multiplication(sF6,sF7))
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f48954,f42485]) ).
fof(f48966,plain,
( sF6 = multiplication(sF6,sF7)
| ~ spl8_54
| ~ spl8_61 ),
inference(forward_demodulation,[],[f48961,f48711]) ).
fof(f48989,plain,
( leq(multiplication(sF6,sF2),sF6)
| ~ spl8_54
| ~ spl8_61
| ~ spl8_118 ),
inference(superposition,[],[f15164,f48966]) ).
fof(f49038,plain,
( $false
| ~ spl8_54
| ~ spl8_61
| ~ spl8_118
| spl8_301 ),
inference(forward_subsumption_resolution,[],[f48989,f44860]) ).
fof(f49039,plain,
( ~ spl8_54
| ~ spl8_61
| ~ spl8_118
| spl8_301 ),
inference(avatar_contradiction_clause,[],[f49038]) ).
fof(f49062,plain,
( sF6 = addition(multiplication(sF6,sF2),sF6)
| ~ spl8_301 ),
inference(resolution,[],[f44859,f35]) ).
fof(f49063,plain,
( sF6 = multiplication(sF6,addition(sF2,one))
| ~ spl8_301 ),
inference(forward_demodulation,[],[f49062,f252]) ).
fof(f49198,plain,
( ~ leq(sF6,sF6)
| sF6 = multiplication(sF6,addition(multiplication(one,star(sF2)),one))
| ~ spl8_301 ),
inference(superposition,[],[f23955,f49063]) ).
fof(f49249,plain,
( sF6 = multiplication(sF6,addition(multiplication(one,star(sF2)),one))
| ~ spl8_301 ),
inference(forward_subsumption_resolution,[],[f49198,f135]) ).
fof(f49273,plain,
( sF6 = multiplication(sF6,multiplication(one,addition(star(sF2),one)))
| ~ spl8_301 ),
inference(forward_demodulation,[],[f49249,f252]) ).
fof(f49283,plain,
( sF6 = multiplication(sF6,addition(star(sF2),one))
| ~ spl8_301 ),
inference(forward_demodulation,[],[f49273,f30]) ).
fof(f49285,plain,
( sF6 = multiplication(sF6,star(sF2))
| ~ spl8_301 ),
inference(forward_demodulation,[],[f49283,f5157]) ).
fof(f49287,plain,
( sF6 = multiplication(sF6,sF3)
| ~ spl8_301 ),
inference(forward_demodulation,[],[f49285,f46]) ).
fof(f49288,plain,
( sF6 = multiplication(sF4,sF3)
| ~ spl8_301 ),
inference(forward_demodulation,[],[f49287,f28028]) ).
fof(f49289,plain,
( sF3 = sF6
| ~ spl8_301 ),
inference(forward_demodulation,[],[f49288,f28965]) ).
fof(f49290,plain,
( $false
| ~ spl8_301 ),
inference(forward_subsumption_resolution,[],[f49289,f29183]) ).
fof(f49291,plain,
~ spl8_301,
inference(avatar_contradiction_clause,[],[f49290]) ).
cnf(s33,plain,
spl8_48,
inference(sat_conversion,[],[f4632]) ).
cnf(s34,plain,
spl8_54,
inference(sat_conversion,[],[f4634]) ).
cnf(s107,plain,
( ~ spl8_48
| ~ spl8_54
| spl8_118 ),
inference(sat_conversion,[],[f15132]) ).
cnf(s117,plain,
spl8_61,
inference(sat_conversion,[],[f17242]) ).
cnf(s210,plain,
( ~ spl8_54
| ~ spl8_61
| ~ spl8_118
| spl8_301 ),
inference(sat_conversion,[],[f49039]) ).
cnf(s213,plain,
~ spl8_301,
inference(sat_conversion,[],[f49291]) ).
cnf(s214,plain,
( ~ spl8_54
| ~ spl8_61
| ~ spl8_118 ),
inference(rat,[],[s210,s213]) ).
cnf(s222,plain,
~ spl8_118,
inference(rat,[],[s214,s117,s34]) ).
cnf(s223,plain,
~ spl8_48,
inference(rat,[],[s107,s222,s34]) ).
cnf(s224,plain,
$false,
inference(rat,[],[s33,s223]) ).
fof(f49292,plain,
$false,
inference(avatar_sat_refutation,[],[s224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE046+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 13:04:10 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.39 Running first-order theorem proving
% 0.03/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.77/2.56 % (1400749)Detected formulas, will run a generic FOF schedule.
% 11.77/2.56 % (1400756)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=4109806467:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.77/2.56 % (1400758)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1695865782:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.77/2.56 % (1400759)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2999727368:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.77/2.56 % (1400755)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=2281275318:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.77/2.56 % (1400757)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2654607335:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.77/2.56 % (1400754)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=3363314474:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.77/2.56 % (1400760)dis-21_1_sil=8000:lcm=predicate:random_seed=1118932019: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)
% 11.77/2.56 % (1400757)Refutation not found, incomplete strategy
% 11.77/2.56 % (1400757)------------------------------
% 11.77/2.56 % (1400757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.56 % (1400760)Refutation not found, incomplete strategy
% 11.77/2.56 % (1400760)------------------------------
% 11.77/2.56 % (1400760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.56 % (1400757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.56 % (1400760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.56 % (1400757)CaDiCaL version: 2.1.3
% 11.77/2.56 % (1400760)CaDiCaL version: 2.1.3
% 11.77/2.56 % (1400757)Termination reason: Refutation not found, incomplete strategy
% 11.77/2.56 % (1400757)Time elapsed: 0.002 s
% 11.77/2.56 % (1400760)Termination reason: Refutation not found, incomplete strategy
% 11.77/2.56 % (1400760)Time elapsed: 0.001 s
% 11.77/2.56 % (1400757)Peak memory usage: 88 MB
% 11.77/2.56 % (1400760)Peak memory usage: 88 MB
% 11.77/2.56 % (1400757)Instructions burned: 1 (million)
% 11.77/2.56 % (1400760)Instructions burned: 1 (million)
% 11.77/2.56 % (1400758)Instruction limit reached!
% 11.77/2.56 % (1400758)------------------------------
% 11.77/2.56 % (1400758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.56 % (1400758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.56 % (1400758)CaDiCaL version: 2.1.3
% 11.77/2.56 % (1400758)Termination reason: Instruction limit
% 11.77/2.56 % (1400758)Termination phase: Saturation
% 11.77/2.56 % (1400758)Time elapsed: 0.073 s
% 11.77/2.56 % (1400758)Peak memory usage: 88 MB
% 11.77/2.56 % (1400758)Instructions burned: 119 (million)
% 11.77/2.56 % (1400759)Instruction limit reached!
% 11.77/2.56 % (1400759)------------------------------
% 11.77/2.56 % (1400759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.56 % (1400759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.56 % (1400759)CaDiCaL version: 2.1.3
% 11.77/2.56 % (1400759)Termination reason: Instruction limit
% 11.77/2.56 % (1400759)Termination phase: Saturation
% 11.77/2.56 % (1400759)Time elapsed: 0.080 s
% 11.77/2.56 % (1400759)Peak memory usage: 89 MB
% 11.77/2.56 % (1400759)Instructions burned: 140 (million)
% 11.77/2.56 % (1400768)lrs+10_1_sil=8000:sp=occurrence:random_seed=4040768063:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.77/2.56 % (1400769)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1822505992:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.77/2.56 % (1400757)------------------------------
% 11.77/2.56 % (1400757)------------------------------
% 11.77/2.56 % (1400760)------------------------------
% 11.77/2.56 % (1400760)------------------------------
% 11.77/2.56 % (1400769)Instruction limit reached!
% 11.77/2.56 % (1400769)------------------------------
% 11.77/2.56 % (1400769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.56 % (1400769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.67 % (1400769)CaDiCaL version: 2.1.3
% 19.71/3.67 % (1400769)Termination reason: Instruction limit
% 19.71/3.67 % (1400769)Termination phase: Saturation
% 19.71/3.67 % (1400769)Time elapsed: 0.098 s
% 19.71/3.67 % (1400769)Peak memory usage: 90 MB
% 19.71/3.67 % (1400769)Instructions burned: 157 (million)
% 19.71/3.67 % (1400773)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=1358709985:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 19.71/3.67 % (1400772)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3975627360:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 19.71/3.67 % (1400768)Instruction limit reached!
% 19.71/3.67 % (1400768)------------------------------
% 19.71/3.67 % (1400768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.71/3.67 % (1400768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.67 % (1400768)CaDiCaL version: 2.1.3
% 19.71/3.67 % (1400768)Termination reason: Instruction limit
% 19.71/3.67 % (1400768)Termination phase: Saturation
% 19.71/3.67 % (1400768)Time elapsed: 0.178 s
% 19.71/3.67 % (1400768)Peak memory usage: 90 MB
% 19.71/3.67 % (1400768)Instructions burned: 285 (million)
% 19.71/3.67 % (1400774)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1640269345:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.71/3.67 % (1400774)Refutation not found, incomplete strategy
% 19.71/3.67 % (1400774)------------------------------
% 19.71/3.67 % (1400774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.71/3.67 % (1400774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.67 % (1400774)CaDiCaL version: 2.1.3
% 19.71/3.67 % (1400774)Termination reason: Refutation not found, incomplete strategy
% 19.71/3.67 % (1400774)Time elapsed: 0.002 s
% 19.71/3.67 % (1400774)Peak memory usage: 88 MB
% 19.71/3.67 % (1400774)Instructions burned: 1 (million)
% 19.71/3.67 % (1400773)Instruction limit reached!
% 19.71/3.67 % (1400773)------------------------------
% 19.71/3.67 % (1400773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.71/3.67 % (1400773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.67 % (1400773)CaDiCaL version: 2.1.3
% 19.71/3.67 % (1400773)Termination reason: Instruction limit
% 19.71/3.67 % (1400773)Termination phase: Saturation
% 19.71/3.67 % (1400773)Time elapsed: 0.159 s
% 19.71/3.67 % (1400773)Peak memory usage: 91 MB
% 19.71/3.67 % (1400773)Instructions burned: 250 (million)
% 19.71/3.67 % (1400777)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1657991778:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 19.71/3.67 % (1400772)Instruction limit reached!
% 19.71/3.67 % (1400772)------------------------------
% 19.71/3.67 % (1400772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.71/3.67 % (1400772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.67 % (1400772)CaDiCaL version: 2.1.3
% 19.71/3.67 % (1400772)Termination reason: Instruction limit
% 19.71/3.67 % (1400772)Termination phase: Saturation
% 19.71/3.67 % (1400772)Time elapsed: 0.191 s
% 19.71/3.67 % (1400772)Peak memory usage: 91 MB
% 19.71/3.67 % (1400772)Instructions burned: 326 (million)
% 19.71/3.67 % (1400780)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1879058451:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 19.71/3.67 % (1400774)------------------------------
% 19.71/3.67 % (1400774)------------------------------
% 19.71/3.67 % (1400781)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1440963272:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 19.71/3.67 % (1400781)Refutation not found, incomplete strategy
% 19.71/3.67 % (1400781)------------------------------
% 19.71/3.67 % (1400781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.71/3.67 % (1400781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.67 % (1400781)CaDiCaL version: 2.1.3
% 19.71/3.67 % (1400781)Termination reason: Refutation not found, incomplete strategy
% 19.71/3.67 % (1400781)Time elapsed: 0.001 s
% 19.71/3.67 % (1400781)Peak memory usage: 88 MB
% 19.71/3.67 % (1400780)Instruction limit reached!
% 19.71/3.67 % (1400780)------------------------------
% 19.71/3.67 % (1400780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.83/5.19 % (1400780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/5.19 % (1400780)CaDiCaL version: 2.1.3
% 30.83/5.19 % (1400780)Termination reason: Instruction limit
% 30.83/5.19 % (1400780)Termination phase: Saturation
% 30.83/5.19 % (1400780)Time elapsed: 0.067 s
% 30.83/5.19 % (1400780)Peak memory usage: 89 MB
% 30.83/5.19 % (1400780)Instructions burned: 114 (million)
% 30.83/5.19 % (1400783)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1325337087:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 30.83/5.19 % (1400785)lrs+10_1_sil=8000:sp=occurrence:random_seed=3659753972:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 30.83/5.19 % (1400783)Instruction limit reached!
% 30.83/5.19 % (1400783)------------------------------
% 30.83/5.19 % (1400783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.83/5.19 % (1400783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/5.19 % (1400783)CaDiCaL version: 2.1.3
% 30.83/5.19 % (1400783)Termination reason: Instruction limit
% 30.83/5.19 % (1400783)Termination phase: Saturation
% 30.83/5.19 % (1400783)Time elapsed: 0.066 s
% 30.83/5.19 % (1400783)Peak memory usage: 89 MB
% 30.83/5.19 % (1400783)Instructions burned: 115 (million)
% 30.83/5.19 % (1400781)------------------------------
% 30.83/5.19 % (1400781)------------------------------
% 30.83/5.19 % (1400788)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4127597454:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 30.83/5.19 % (1400788)Refutation not found, incomplete strategy
% 30.83/5.19 % (1400788)------------------------------
% 30.83/5.19 % (1400788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.83/5.19 % (1400788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/5.19 % (1400788)CaDiCaL version: 2.1.3
% 30.83/5.19 % (1400788)Termination reason: Refutation not found, incomplete strategy
% 30.83/5.19 % (1400788)Time elapsed: 0.002 s
% 30.83/5.19 % (1400788)Peak memory usage: 88 MB
% 30.83/5.19 % (1400788)Instructions burned: 1 (million)
% 30.83/5.19 % (1400789)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1905086237:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 30.83/5.19 % (1400788)------------------------------
% 30.83/5.19 % (1400788)------------------------------
% 30.83/5.19 % (1400792)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=755732437:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 30.83/5.19 % (1400792)Refutation not found, incomplete strategy
% 30.83/5.19 % (1400792)------------------------------
% 30.83/5.19 % (1400792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.83/5.19 % (1400792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/5.19 % (1400792)CaDiCaL version: 2.1.3
% 30.83/5.19 % (1400792)Termination reason: Refutation not found, incomplete strategy
% 30.83/5.19 % (1400792)Time elapsed: 0.002 s
% 30.83/5.19 % (1400792)Peak memory usage: 89 MB
% 30.83/5.19 % (1400792)Instructions burned: 1 (million)
% 30.83/5.19 % (1400785)Instruction limit reached!
% 30.83/5.19 % (1400785)------------------------------
% 30.83/5.19 % (1400785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.83/5.19 % (1400785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/5.19 % (1400785)CaDiCaL version: 2.1.3
% 30.83/5.19 % (1400785)Termination reason: Instruction limit
% 30.83/5.19 % (1400785)Termination phase: Saturation
% 30.83/5.19 % (1400785)Time elapsed: 0.551 s
% 30.83/5.19 % (1400785)Peak memory usage: 96 MB
% 30.83/5.19 % (1400785)Instructions burned: 908 (million)
% 30.83/5.19 % (1400794)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=977681614:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 30.83/5.19 % (1400794)Refutation not found, incomplete strategy
% 30.83/5.19 % (1400794)------------------------------
% 30.83/5.19 % (1400794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.83/5.19 % (1400794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/5.19 % (1400794)CaDiCaL version: 2.1.3
% 30.83/5.19 % (1400794)Termination reason: Refutation not found, incomplete strategy
% 30.83/5.19 % (1400794)Time elapsed: 0.001 s
% 30.83/5.19 % (1400794)Peak memory usage: 88 MB
% 30.83/5.19 % (1400794)Instructions burned: 1 (million)
% 30.83/5.19 % (1400792)------------------------------
% 30.83/5.19 % (1400792)------------------------------
% 30.83/5.19 % (1400796)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3899825395:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 30.83/5.19 % (1400794)------------------------------
% 30.83/5.19 % (1400794)------------------------------
% 30.83/5.19 % (1400798)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=1619479760:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 30.83/5.19 % (1400777)Instruction limit reached!
% 30.83/5.19 % (1400777)------------------------------
% 30.83/5.19 % (1400777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.83/5.19 % (1400777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/5.19 % (1400777)CaDiCaL version: 2.1.3
% 30.83/5.19 % (1400777)Termination reason: Instruction limit
% 30.83/5.19 % (1400777)Termination phase: Saturation
% 30.83/5.19 % (1400777)Time elapsed: 1.462 s
% 30.83/5.19 % (1400777)Peak memory usage: 143 MB
% 30.83/5.19 % (1400777)Instructions burned: 2352 (million)
% 30.83/5.19 % (1400798)Instruction limit reached!
% 30.83/5.19 % (1400798)------------------------------
% 30.83/5.19 % (1400798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.83/5.19 % (1400798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/5.19 % (1400798)CaDiCaL version: 2.1.3
% 30.83/5.19 % (1400798)Termination reason: Instruction limit
% 30.83/5.19 % (1400798)Termination phase: Saturation
% 30.83/5.19 % (1400798)Time elapsed: 0.089 s
% 30.83/5.19 % (1400798)Peak memory usage: 90 MB
% 30.83/5.19 % (1400798)Instructions burned: 126 (million)
% 30.83/5.19 % (1400800)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=623726534:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 30.83/5.19 % (1400801)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1001788380:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 30.83/5.19 % (1400801)Refutation not found, incomplete strategy
% 30.83/5.19 % (1400801)------------------------------
% 30.83/5.19 % (1400801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.83/5.19 % (1400801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/5.19 % (1400801)CaDiCaL version: 2.1.3
% 30.83/5.19 % (1400801)Termination reason: Refutation not found, incomplete strategy
% 30.83/5.19 % (1400801)Time elapsed: 0.001 s
% 30.83/5.19 % (1400801)Peak memory usage: 88 MB
% 30.83/5.19 % (1400800)Instruction limit reached!
% 30.83/5.19 % (1400800)------------------------------
% 30.83/5.19 % (1400800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.83/5.19 % (1400800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/5.19 % (1400800)CaDiCaL version: 2.1.3
% 30.83/5.19 % (1400800)Termination reason: Instruction limit
% 30.83/5.19 % (1400800)Termination phase: Saturation
% 30.83/5.19 % (1400800)Time elapsed: 0.085 s
% 30.83/5.19 % (1400800)Peak memory usage: 90 MB
% 30.83/5.19 % (1400800)Instructions burned: 134 (million)
% 30.83/5.19 % (1400804)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2655717326:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 30.83/5.19 % (1400804)Refutation not found, incomplete strategy
% 30.83/5.19 % (1400804)------------------------------
% 30.83/5.19 % (1400804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.83/5.19 % (1400804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/5.19 % (1400804)CaDiCaL version: 2.1.3
% 30.83/5.19 % (1400804)Termination reason: Refutation not found, incomplete strategy
% 30.83/5.19 % (1400804)Time elapsed: 0.001 s
% 30.83/5.19 % (1400804)Peak memory usage: 88 MB
% 30.83/5.19 % (1400801)------------------------------
% 30.83/5.19 % (1400801)------------------------------
% 30.83/5.19 % (1400806)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=290538148:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 30.83/5.19 % (1400804)------------------------------
% 30.83/5.19 % (1400804)------------------------------
% 30.83/5.19 % (1400808)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=3434962978:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 30.83/5.19 % (1400808)Instruction limit reached!
% 30.83/5.19 % (1400808)------------------------------
% 30.83/5.19 % (1400808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.83/5.19 % (1400808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.83/5.19 % (1400808)CaDiCaL version: 2.1.3
% 30.83/5.19 % (1400808)Termination reason: Instruction limit
% 30.83/5.19 % (1400808)Termination phase: Saturation
% 30.83/5.19 % (1400808)Time elapsed: 0.078 s
% 30.83/5.19 % (1400808)Peak memory usage: 90 MB
% 30.83/5.19 % (1400808)Instructions burned: 152 (million)
% 30.83/5.19 % (1400810)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1865514276:i=14155:bd=all_2970 on theBenchmark for (2970ds/14155Mi)
% 30.83/5.19 % (1400754)First to succeed.
% 30.83/5.19 % (1400754)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1400749"
% 30.83/5.19 % (1400754)Refutation found. Thanks to Tanya!
% 30.83/5.19 % SZS status Theorem for theBenchmark
% 30.83/5.19 % SZS output start Proof for theBenchmark
% See solution above
% 31.38/5.38 % (1400754)------------------------------
% 31.38/5.38 % (1400754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.38/5.38 % (1400754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.38/5.38 % (1400754)CaDiCaL version: 2.1.3
% 31.38/5.38 % (1400754)Termination reason: Refutation
% 31.38/5.38 % (1400754)Time elapsed: 3.927 s
% 31.38/5.38 % (1400754)Peak memory usage: 187 MB
% 31.38/5.38 % (1400754)Instructions burned: 6469 (million)
% 31.38/5.38 % (1400754)------------------------------
% 31.38/5.38 % (1400754)------------------------------
% 31.38/5.38 % (1400749)Success in time 4.355 s
% 31.38/5.38 % Vampire exiting
%------------------------------------------------------------------------------