%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE116+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 : n012.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 11:40:23 AM UTC 2026
% Result : Theorem 8.07s 1.96s
% Output : Refutation 9.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 18
% Syntax : Number of formulae : 177 ( 177 unt; 0 def)
% Number of atoms : 177 ( 176 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 24 ( 24 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 300 ( 297 !; 3 ?)
% 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(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
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(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f14,axiom,
! [X0,X1] : addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) = antidomain(multiplication(X0,antidomain(antidomain(X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f21,axiom,
! [X0] : c(X0) = antidomain(domain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f25,axiom,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_box) ).
fof(f27,conjecture,
! [X0,X1,X2] : forward_box(X0,multiplication(domain(X1),domain(X2))) = multiplication(forward_box(X0,domain(X1)),forward_box(X0,domain(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0,X1,X2] : forward_box(X0,multiplication(domain(X1),domain(X2))) = multiplication(forward_box(X0,domain(X1)),forward_box(X0,domain(X2))),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0,X1,X2] : forward_box(X0,multiplication(domain(X1),domain(X2))) != multiplication(forward_box(X0,domain(X1)),forward_box(X0,domain(X2))),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
forward_box(sK0,multiplication(domain(sK1),domain(sK2))) != multiplication(forward_box(sK0,domain(sK1)),forward_box(sK0,domain(sK2))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f29]) ).
fof(f31,plain,
forward_box(sK0,multiplication(domain(sK1),domain(sK2))) != multiplication(forward_box(sK0,domain(sK1)),forward_box(sK0,domain(sK2))),
inference(cnf_transformation,[],[f30]) ).
fof(f32,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f33,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f35,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f36,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(cnf_transformation,[],[f25]) ).
fof(f38,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f39,plain,
! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(cnf_transformation,[],[f14]) ).
fof(f40,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f42,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f43,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f44,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f45,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f46,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f48,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f49,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f51,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f53,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f57,plain,
! [X0] : c(X0) = antidomain(antidomain(antidomain(X0))),
inference(definition_unfolding,[],[f35,f36]) ).
fof(f61,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f33,f36,f36]) ).
fof(f62,plain,
! [X0,X1] : forward_box(X0,X1) = antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(antidomain(X1))))))))))),
inference(definition_unfolding,[],[f37,f57,f61,f57]) ).
fof(f63,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))))))))))) != multiplication(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))))))),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2)))))))))))))),
inference(definition_unfolding,[],[f31,f62,f36,f36,f62,f36,f62,f36]) ).
fof(f64,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f38,f46]) ).
fof(f68,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f43,f40]) ).
fof(f73,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f68,f53]) ).
fof(f77,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(superposition,[],[f73,f46]) ).
fof(f78,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,X1)) = multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f73,f43]) ).
fof(f85,plain,
! [X0,X1] : multiplication(antidomain(X0),multiplication(X0,X1)) = multiplication(zero,X1),
inference(superposition,[],[f32,f40]) ).
fof(f94,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(forward_demodulation,[],[f85,f51]) ).
fof(f103,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f46,f53]) ).
fof(f144,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f42,f48]) ).
fof(f145,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[],[f42,f40]) ).
fof(f151,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(addition(X0,antidomain(X1)),X1),
inference(superposition,[],[f42,f40]) ).
fof(f161,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X1,X2)),multiplication(X0,X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f73,f42]) ).
fof(f168,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f151,f53]) ).
fof(f171,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0),
inference(forward_demodulation,[],[f145,f103]) ).
fof(f182,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X0,X2)),multiplication(X1,X2)) = multiplication(antidomain(multiplication(X0,X2)),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f161,f46]) ).
fof(f224,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),multiplication(antidomain(X0),X1)) = multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),multiplication(one,X1)),
inference(superposition,[],[f161,f64]) ).
fof(f225,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),multiplication(X0,antidomain(X1))) = multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),multiplication(X0,one)),
inference(superposition,[],[f78,f64]) ).
fof(f226,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f73,f64]) ).
fof(f227,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f226,f49]) ).
fof(f228,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),multiplication(X0,antidomain(X1))) = multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),X0),
inference(forward_demodulation,[],[f225,f49]) ).
fof(f229,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),multiplication(antidomain(X0),X1)) = multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),X1),
inference(forward_demodulation,[],[f224,f48]) ).
fof(f234,plain,
zero = antidomain(one),
inference(superposition,[],[f40,f49]) ).
fof(f255,plain,
one = addition(zero,antidomain(zero)),
inference(superposition,[],[f64,f234]) ).
fof(f261,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f255,f103]) ).
fof(f307,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f171,f64]) ).
fof(f333,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f307,f48]) ).
fof(f451,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f45,f43]) ).
fof(f470,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f45,f44]) ).
fof(f477,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(superposition,[],[f333,f227]) ).
fof(f519,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))))))))))) != multiplication(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))))))),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(sK2)))))))))))),
inference(superposition,[],[f63,f477]) ).
fof(f533,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))))))))))) != multiplication(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))))))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(sK2)))))))))),
inference(forward_demodulation,[],[f519,f477]) ).
fof(f551,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))))))))))) != multiplication(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))))))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(sK2)))))))),
inference(forward_demodulation,[],[f533,f477]) ).
fof(f567,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))))))))))) != multiplication(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))))))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(sK2)))))),
inference(forward_demodulation,[],[f551,f477]) ).
fof(f583,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))))))))))) != multiplication(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))))))),antidomain(multiplication(sK0,antidomain(sK2)))),
inference(forward_demodulation,[],[f567,f477]) ).
fof(f599,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))))))))))) != multiplication(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))))),antidomain(multiplication(sK0,antidomain(sK2)))),
inference(forward_demodulation,[],[f583,f477]) ).
fof(f615,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))))))))))) != multiplication(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))),antidomain(multiplication(sK0,antidomain(sK2)))),
inference(forward_demodulation,[],[f599,f477]) ).
fof(f631,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))))))))))) != multiplication(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(multiplication(sK0,antidomain(sK2)))),
inference(forward_demodulation,[],[f615,f477]) ).
fof(f647,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))))))))))) != multiplication(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(sK1))))),antidomain(multiplication(sK0,antidomain(sK2)))),
inference(forward_demodulation,[],[f631,f477]) ).
fof(f663,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))))))))))) != multiplication(antidomain(multiplication(sK0,antidomain(sK1))),antidomain(multiplication(sK0,antidomain(sK2)))),
inference(forward_demodulation,[],[f647,f477]) ).
fof(f679,plain,
antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))))))))) != multiplication(antidomain(multiplication(sK0,antidomain(sK1))),antidomain(multiplication(sK0,antidomain(sK2)))),
inference(forward_demodulation,[],[f663,f477]) ).
fof(f695,plain,
antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))))))) != multiplication(antidomain(multiplication(sK0,antidomain(sK1))),antidomain(multiplication(sK0,antidomain(sK2)))),
inference(forward_demodulation,[],[f679,f477]) ).
fof(f711,plain,
multiplication(antidomain(multiplication(sK0,antidomain(sK1))),antidomain(multiplication(sK0,antidomain(sK2)))) != antidomain(multiplication(sK0,antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))))),
inference(forward_demodulation,[],[f695,f477]) ).
fof(f727,plain,
multiplication(antidomain(multiplication(sK0,antidomain(sK1))),antidomain(multiplication(sK0,antidomain(sK2)))) != antidomain(multiplication(sK0,antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))),
inference(forward_demodulation,[],[f711,f477]) ).
fof(f1042,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f470,f64]) ).
fof(f1046,plain,
! [X0,X1] : multiplication(antidomain(addition(X0,X1)),X0) = multiplication(antidomain(addition(X0,X1)),addition(X0,X1)),
inference(superposition,[],[f73,f470]) ).
fof(f1053,plain,
! [X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),X0),
inference(forward_demodulation,[],[f1046,f40]) ).
fof(f1056,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f1042,f46]) ).
fof(f1104,plain,
! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2))))) = addition(antidomain(multiplication(multiplication(X0,X1),X2)),antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))),
inference(superposition,[],[f39,f32]) ).
fof(f1105,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(antidomain(X1)))),multiplication(X0,antidomain(antidomain(X1)))),
inference(superposition,[],[f168,f39]) ).
fof(f1115,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f1105,f40]) ).
fof(f1116,plain,
! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2))))) = addition(antidomain(multiplication(X0,multiplication(X1,X2))),antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))),
inference(forward_demodulation,[],[f1104,f32]) ).
fof(f1189,plain,
! [X0,X1] : zero = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(superposition,[],[f1115,f94]) ).
fof(f1236,plain,
! [X0,X1] : zero = multiplication(one,multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(forward_demodulation,[],[f1189,f261]) ).
fof(f1255,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f1236,f48]) ).
fof(f1288,plain,
! [X0,X1] : multiplication(antidomain(zero),antidomain(X0)) = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(multiplication(X0,X1)))),
inference(superposition,[],[f228,f1255]) ).
fof(f1314,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(one,multiplication(antidomain(X0),antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f1288,f261]) ).
fof(f1332,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1314,f48]) ).
fof(f1344,plain,
! [X0,X1] : antidomain(X0) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1332,f48]) ).
fof(f1381,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(multiplication(X0,X1)),antidomain(X0)),
inference(superposition,[],[f144,f1344]) ).
fof(f1385,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1381,f46]) ).
fof(f1401,plain,
! [X0,X1] : addition(antidomain(X0),antidomain(multiplication(X0,X1))) = multiplication(one,antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1385,f1056]) ).
fof(f1406,plain,
! [X0,X1] : antidomain(multiplication(X0,X1)) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1401,f48]) ).
fof(f1480,plain,
! [X0,X1] : zero = multiplication(antidomain(zero),multiplication(antidomain(addition(X0,X1)),antidomain(antidomain(X0)))),
inference(superposition,[],[f1115,f1053]) ).
fof(f1495,plain,
! [X0,X1] : zero = multiplication(one,multiplication(antidomain(addition(X0,X1)),antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f1480,f261]) ).
fof(f1510,plain,
! [X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f1495,f48]) ).
fof(f1571,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,[],[f451,f42]) ).
fof(f2233,plain,
! [X0,X1] : antidomain(multiplication(antidomain(antidomain(X0)),X1)) = addition(antidomain(X0),antidomain(multiplication(antidomain(antidomain(X0)),X1))),
inference(superposition,[],[f1406,f477]) ).
fof(f2241,plain,
! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,X2))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,multiplication(X1,X2)))),
inference(superposition,[],[f1406,f32]) ).
fof(f2343,plain,
! [X0,X1] : multiplication(addition(one,antidomain(multiplication(antidomain(antidomain(X0)),X1))),multiplication(antidomain(X0),X1)) = addition(multiplication(antidomain(X0),X1),multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),X1)),
inference(superposition,[],[f144,f229]) ).
fof(f2357,plain,
! [X0,X1] : multiplication(addition(one,antidomain(multiplication(antidomain(antidomain(X0)),X1))),multiplication(antidomain(X0),X1)) = multiplication(addition(antidomain(X0),antidomain(multiplication(antidomain(antidomain(X0)),X1))),X1),
inference(forward_demodulation,[],[f2343,f42]) ).
fof(f2383,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),X1) = multiplication(addition(one,antidomain(multiplication(antidomain(antidomain(X0)),X1))),multiplication(antidomain(X0),X1)),
inference(forward_demodulation,[],[f2357,f2233]) ).
fof(f2396,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),X1) = multiplication(one,multiplication(antidomain(X0),X1)),
inference(forward_demodulation,[],[f2383,f1056]) ).
fof(f2401,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(multiplication(antidomain(antidomain(X0)),X1)),X1),
inference(forward_demodulation,[],[f2396,f48]) ).
fof(f2719,plain,
! [X0,X1] : multiplication(antidomain(multiplication(one,X0)),multiplication(antidomain(X1),X0)) = multiplication(antidomain(multiplication(one,X0)),multiplication(one,X0)),
inference(superposition,[],[f182,f1056]) ).
fof(f2768,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(one,X0)),multiplication(antidomain(X1),X0)),
inference(forward_demodulation,[],[f2719,f40]) ).
fof(f2792,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(antidomain(X1),X0)),
inference(forward_demodulation,[],[f2768,f48]) ).
fof(f2920,plain,
! [X0,X1] : multiplication(antidomain(zero),multiplication(antidomain(addition(X0,X1)),antidomain(X0))) = multiplication(antidomain(zero),antidomain(addition(X0,X1))),
inference(superposition,[],[f228,f1510]) ).
fof(f2964,plain,
! [X0,X1] : multiplication(one,multiplication(antidomain(addition(X0,X1)),antidomain(X0))) = multiplication(one,antidomain(addition(X0,X1))),
inference(forward_demodulation,[],[f2920,f261]) ).
fof(f2991,plain,
! [X0,X1] : antidomain(addition(X0,X1)) = multiplication(one,multiplication(antidomain(addition(X0,X1)),antidomain(X0))),
inference(forward_demodulation,[],[f2964,f48]) ).
fof(f3005,plain,
! [X0,X1] : antidomain(addition(X0,X1)) = multiplication(antidomain(addition(X0,X1)),antidomain(X0)),
inference(forward_demodulation,[],[f2991,f48]) ).
fof(f3047,plain,
! [X0,X1] : multiplication(addition(one,antidomain(addition(X0,X1))),antidomain(X0)) = addition(antidomain(X0),antidomain(addition(X0,X1))),
inference(superposition,[],[f144,f3005]) ).
fof(f3063,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = addition(antidomain(X0),antidomain(addition(X0,X1))),
inference(forward_demodulation,[],[f3047,f1056]) ).
fof(f3080,plain,
! [X0,X1] : antidomain(X0) = addition(antidomain(X0),antidomain(addition(X0,X1))),
inference(forward_demodulation,[],[f3063,f48]) ).
fof(f3156,plain,
! [X2,X0,X1] : addition(multiplication(X0,one),multiplication(addition(X0,X2),antidomain(X1))) = addition(multiplication(X0,one),multiplication(X2,antidomain(X1))),
inference(superposition,[],[f1571,f1056]) ).
fof(f3253,plain,
! [X2,X0,X1] : addition(multiplication(antidomain(X0),addition(X1,X2)),multiplication(antidomain(antidomain(X0)),X2)) = addition(multiplication(antidomain(X0),X1),multiplication(one,X2)),
inference(superposition,[],[f1571,f64]) ).
fof(f3331,plain,
! [X2,X0,X1] : addition(multiplication(antidomain(X0),X1),X2) = addition(multiplication(antidomain(X0),addition(X1,X2)),multiplication(antidomain(antidomain(X0)),X2)),
inference(forward_demodulation,[],[f3253,f48]) ).
fof(f3410,plain,
! [X2,X0,X1] : addition(X0,multiplication(addition(X0,X2),antidomain(X1))) = addition(X0,multiplication(X2,antidomain(X1))),
inference(forward_demodulation,[],[f3156,f49]) ).
fof(f3432,plain,
! [X2,X0,X1] : addition(multiplication(antidomain(X0),X1),X2) = addition(multiplication(antidomain(antidomain(X0)),X2),multiplication(antidomain(X0),addition(X1,X2))),
inference(forward_demodulation,[],[f3331,f46]) ).
fof(f3534,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(X1))) = addition(antidomain(X0),multiplication(one,antidomain(X1))),
inference(superposition,[],[f3410,f64]) ).
fof(f3596,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(X1))) = addition(antidomain(X0),antidomain(X1)),
inference(forward_demodulation,[],[f3534,f48]) ).
fof(f3655,plain,
! [X0,X1] : multiplication(multiplication(antidomain(antidomain(X0)),antidomain(X1)),X0) = multiplication(addition(antidomain(X0),antidomain(X1)),X0),
inference(superposition,[],[f171,f3596]) ).
fof(f3686,plain,
! [X0,X1] : multiplication(antidomain(X1),X0) = multiplication(multiplication(antidomain(antidomain(X0)),antidomain(X1)),X0),
inference(forward_demodulation,[],[f3655,f171]) ).
fof(f3703,plain,
! [X0,X1] : multiplication(antidomain(X1),X0) = multiplication(antidomain(antidomain(X0)),multiplication(antidomain(X1),X0)),
inference(forward_demodulation,[],[f3686,f32]) ).
fof(f3831,plain,
! [X0,X1] : addition(multiplication(antidomain(X0),antidomain(X1)),antidomain(antidomain(X1))) = addition(multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1))),multiplication(antidomain(X0),one)),
inference(superposition,[],[f3432,f64]) ).
fof(f3844,plain,
! [X0,X1] : addition(multiplication(antidomain(addition(X0,X1)),X0),X1) = addition(multiplication(antidomain(antidomain(addition(X0,X1))),X1),zero),
inference(superposition,[],[f3432,f40]) ).
fof(f3876,plain,
! [X0,X1] : multiplication(antidomain(antidomain(addition(X0,X1))),X1) = addition(multiplication(antidomain(addition(X0,X1)),X0),X1),
inference(forward_demodulation,[],[f3844,f53]) ).
fof(f3889,plain,
! [X0,X1] : addition(multiplication(antidomain(X0),antidomain(X1)),antidomain(antidomain(X1))) = addition(multiplication(antidomain(X0),one),multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f3831,f46]) ).
fof(f3925,plain,
! [X0,X1] : multiplication(antidomain(antidomain(addition(X0,X1))),X1) = addition(X1,multiplication(antidomain(addition(X0,X1)),X0)),
inference(forward_demodulation,[],[f3876,f46]) ).
fof(f3935,plain,
! [X0,X1] : addition(multiplication(antidomain(X0),antidomain(X1)),antidomain(antidomain(X1))) = addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f3889,f49]) ).
fof(f3955,plain,
! [X0,X1] : addition(X1,zero) = multiplication(antidomain(antidomain(addition(X0,X1))),X1),
inference(forward_demodulation,[],[f3925,f1053]) ).
fof(f3963,plain,
! [X0,X1] : addition(multiplication(antidomain(X0),antidomain(X1)),antidomain(antidomain(X1))) = addition(antidomain(X0),antidomain(antidomain(X1))),
inference(forward_demodulation,[],[f3935,f3596]) ).
fof(f3976,plain,
! [X0,X1] : multiplication(antidomain(antidomain(addition(X0,X1))),X1) = X1,
inference(forward_demodulation,[],[f3955,f53]) ).
fof(f3983,plain,
! [X0,X1] : addition(antidomain(X0),antidomain(antidomain(X1))) = addition(antidomain(antidomain(X1)),multiplication(antidomain(X0),antidomain(X1))),
inference(forward_demodulation,[],[f3963,f46]) ).
fof(f4030,plain,
! [X0,X1] : antidomain(addition(X0,X1)) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(addition(X0,X1))),
inference(superposition,[],[f3976,f3080]) ).
fof(f4098,plain,
! [X0,X1] : antidomain(addition(X0,X1)) = multiplication(antidomain(X0),antidomain(addition(X0,X1))),
inference(forward_demodulation,[],[f4030,f477]) ).
fof(f4116,plain,
! [X0,X1] : addition(antidomain(X1),antidomain(X0)) = addition(antidomain(X0),multiplication(antidomain(X1),antidomain(antidomain(X0)))),
inference(superposition,[],[f3983,f477]) ).
fof(f4144,plain,
! [X0,X1] : multiplication(antidomain(antidomain(antidomain(X1))),multiplication(antidomain(X0),antidomain(X1))) = multiplication(antidomain(antidomain(antidomain(X1))),addition(antidomain(X0),antidomain(antidomain(X1)))),
inference(superposition,[],[f77,f3983]) ).
fof(f4164,plain,
! [X0,X1] : multiplication(antidomain(antidomain(antidomain(X1))),multiplication(antidomain(X0),antidomain(X1))) = multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X0)),
inference(forward_demodulation,[],[f4144,f73]) ).
fof(f4187,plain,
! [X0,X1] : multiplication(antidomain(X1),antidomain(X0)) = multiplication(antidomain(X1),multiplication(antidomain(X0),antidomain(X1))),
inference(forward_demodulation,[],[f4164,f477]) ).
fof(f4232,plain,
! [X0,X1] : antidomain(multiplication(antidomain(antidomain(X0)),antidomain(X1))) = addition(antidomain(multiplication(antidomain(antidomain(X0)),multiplication(antidomain(X1),X0))),antidomain(multiplication(antidomain(antidomain(X0)),antidomain(X1)))),
inference(superposition,[],[f1116,f4187]) ).
fof(f4234,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(antidomain(X0)),multiplication(antidomain(X1),antidomain(X0)))),multiplication(antidomain(X1),antidomain(X0))) = multiplication(antidomain(multiplication(antidomain(antidomain(X0)),multiplication(antidomain(X1),antidomain(X0)))),multiplication(antidomain(X0),antidomain(X1))),
inference(superposition,[],[f229,f4187]) ).
fof(f4271,plain,
! [X0,X1] : multiplication(antidomain(zero),multiplication(antidomain(X1),antidomain(X0))) = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(X1))),
inference(forward_demodulation,[],[f4234,f2792]) ).
fof(f4272,plain,
! [X0,X1] : antidomain(multiplication(antidomain(antidomain(X0)),antidomain(X1))) = addition(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(X1))),antidomain(multiplication(antidomain(antidomain(X0)),multiplication(antidomain(X1),X0)))),
inference(forward_demodulation,[],[f4232,f46]) ).
fof(f4288,plain,
! [X0,X1] : multiplication(one,multiplication(antidomain(X1),antidomain(X0))) = multiplication(one,multiplication(antidomain(X0),antidomain(X1))),
inference(forward_demodulation,[],[f4271,f261]) ).
fof(f4289,plain,
! [X0,X1] : antidomain(multiplication(antidomain(antidomain(X0)),antidomain(X1))) = antidomain(multiplication(antidomain(antidomain(X0)),multiplication(antidomain(X1),X0))),
inference(forward_demodulation,[],[f4272,f2241]) ).
fof(f4292,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(X1)) = multiplication(one,multiplication(antidomain(X1),antidomain(X0))),
inference(forward_demodulation,[],[f4288,f48]) ).
fof(f4293,plain,
! [X0,X1] : antidomain(multiplication(antidomain(antidomain(X0)),antidomain(X1))) = antidomain(multiplication(antidomain(X1),X0)),
inference(forward_demodulation,[],[f4289,f3703]) ).
fof(f4294,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(X1)) = multiplication(antidomain(X1),antidomain(X0)),
inference(forward_demodulation,[],[f4292,f48]) ).
fof(f4388,plain,
! [X0,X1] : multiplication(antidomain(X1),antidomain(X0)) = multiplication(antidomain(X0),antidomain(multiplication(antidomain(antidomain(X1)),antidomain(X0)))),
inference(superposition,[],[f2401,f4294]) ).
fof(f4418,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(multiplication(antidomain(X0),X1))) = multiplication(antidomain(X1),antidomain(X0)),
inference(forward_demodulation,[],[f4388,f4293]) ).
fof(f4602,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(multiplication(antidomain(X0),X1))) = multiplication(antidomain(addition(X1,X0)),antidomain(X0)),
inference(superposition,[],[f4418,f73]) ).
fof(f4632,plain,
! [X0,X1] : addition(antidomain(X1),multiplication(antidomain(X0),antidomain(antidomain(X1)))) = addition(antidomain(X1),antidomain(multiplication(antidomain(antidomain(X1)),X0))),
inference(superposition,[],[f3596,f4418]) ).
fof(f4686,plain,
! [X0,X1] : addition(antidomain(X1),multiplication(antidomain(X0),antidomain(antidomain(X1)))) = antidomain(multiplication(antidomain(antidomain(X1)),X0)),
inference(forward_demodulation,[],[f4632,f2233]) ).
fof(f4709,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(multiplication(antidomain(X0),X1))) = multiplication(antidomain(X0),antidomain(addition(X1,X0))),
inference(forward_demodulation,[],[f4602,f4294]) ).
fof(f4730,plain,
! [X0,X1] : addition(antidomain(X0),antidomain(X1)) = antidomain(multiplication(antidomain(antidomain(X1)),X0)),
inference(forward_demodulation,[],[f4686,f4116]) ).
fof(f4749,plain,
! [X0,X1] : multiplication(antidomain(X1),antidomain(X0)) = multiplication(antidomain(X0),antidomain(addition(X1,X0))),
inference(forward_demodulation,[],[f4709,f4418]) ).
fof(f4786,plain,
! [X0,X1] : multiplication(antidomain(X1),antidomain(X0)) = multiplication(antidomain(X0),antidomain(addition(X0,X1))),
inference(superposition,[],[f4749,f46]) ).
fof(f4881,plain,
! [X0,X1] : antidomain(addition(X0,X1)) = multiplication(antidomain(X1),antidomain(X0)),
inference(forward_demodulation,[],[f4786,f4098]) ).
fof(f4988,plain,
antidomain(multiplication(sK0,antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))) != antidomain(addition(multiplication(sK0,antidomain(sK2)),multiplication(sK0,antidomain(sK1)))),
inference(superposition,[],[f727,f4881]) ).
fof(f5055,plain,
antidomain(multiplication(sK0,antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))) != antidomain(addition(multiplication(sK0,antidomain(sK1)),multiplication(sK0,antidomain(sK2)))),
inference(forward_demodulation,[],[f4988,f46]) ).
fof(f5093,plain,
antidomain(multiplication(sK0,antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))) != antidomain(multiplication(sK0,addition(antidomain(sK1),antidomain(sK2)))),
inference(forward_demodulation,[],[f5055,f43]) ).
fof(f5113,plain,
antidomain(multiplication(sK0,addition(antidomain(sK1),antidomain(sK2)))) != antidomain(multiplication(sK0,antidomain(multiplication(antidomain(antidomain(sK2)),sK1)))),
inference(forward_demodulation,[],[f5093,f4293]) ).
fof(f5126,plain,
antidomain(multiplication(sK0,addition(antidomain(sK1),antidomain(sK2)))) != antidomain(multiplication(sK0,addition(antidomain(sK1),antidomain(sK2)))),
inference(forward_demodulation,[],[f5113,f4730]) ).
fof(f5127,plain,
$false,
inference(trivial_inequality_removal,[],[f5126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KLE116+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 13:10:34 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 8.07/1.96 % (2377773)Detected formulas, will run a generic FOF schedule.
% 8.07/1.96 % (2377816)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=335772299:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.07/1.96 % (2377823)dis-21_1_sil=8000:lcm=predicate:random_seed=801077165: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)
% 8.07/1.96 % (2377823)Refutation not found, incomplete strategy
% 8.07/1.96 % (2377823)------------------------------
% 8.07/1.96 % (2377823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.96 % (2377823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.96 % (2377823)CaDiCaL version: 2.1.3
% 8.07/1.96 % (2377823)Termination reason: Refutation not found, incomplete strategy
% 8.07/1.96 % (2377823)Time elapsed: 0.001 s
% 8.07/1.96 % (2377823)Peak memory usage: 88 MB
% 8.07/1.96 % (2377823)Instructions burned: 1 (million)
% 8.07/1.96 % (2377818)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=2621364302:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.07/1.96 % (2377817)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=2933696263:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.07/1.96 % (2377822)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2642431776:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.07/1.96 % (2377820)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4154106174:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.07/1.96 % (2377819)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=834142453:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.07/1.96 % (2377819)Refutation not found, incomplete strategy
% 8.07/1.96 % (2377819)------------------------------
% 8.07/1.96 % (2377819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.96 % (2377819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.96 % (2377819)CaDiCaL version: 2.1.3
% 8.07/1.96 % (2377819)Termination reason: Refutation not found, incomplete strategy
% 8.07/1.96 % (2377819)Time elapsed: 0.001 s
% 8.07/1.96 % (2377819)Peak memory usage: 88 MB
% 8.07/1.96 % (2377820)Instruction limit reached!
% 8.07/1.96 % (2377820)------------------------------
% 8.07/1.96 % (2377820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.96 % (2377820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.96 % (2377820)CaDiCaL version: 2.1.3
% 8.07/1.96 % (2377820)Termination reason: Instruction limit
% 8.07/1.96 % (2377820)Termination phase: Saturation
% 8.07/1.96 % (2377820)Time elapsed: 0.055 s
% 8.07/1.96 % (2377820)Peak memory usage: 88 MB
% 8.07/1.96 % (2377820)Instructions burned: 119 (million)
% 8.07/1.96 % (2377822)Instruction limit reached!
% 8.07/1.96 % (2377822)------------------------------
% 8.07/1.96 % (2377822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.96 % (2377822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.96 % (2377822)CaDiCaL version: 2.1.3
% 8.07/1.96 % (2377822)Termination reason: Instruction limit
% 8.07/1.96 % (2377822)Termination phase: Saturation
% 8.07/1.96 % (2377822)Time elapsed: 0.070 s
% 8.07/1.96 % (2377822)Peak memory usage: 89 MB
% 8.07/1.96 % (2377822)Instructions burned: 139 (million)
% 8.07/1.96 % (2377823)------------------------------
% 8.07/1.96 % (2377823)------------------------------
% 8.07/1.96 % (2377838)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3755739698:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.07/1.96 % (2377838)Refutation not found, incomplete strategy
% 8.07/1.96 % (2377838)------------------------------
% 8.07/1.96 % (2377838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.96 % (2377838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.96 % (2377838)CaDiCaL version: 2.1.3
% 8.07/1.96 % (2377838)Termination reason: Refutation not found, incomplete strategy
% 8.07/1.96 % (2377838)Time elapsed: 0.001 s
% 8.07/1.96 % (2377838)Peak memory usage: 88 MB
% 8.07/1.96 % (2377838)Instructions burned: 1 (million)
% 8.07/1.96 % (2377836)lrs+10_1_sil=8000:sp=occurrence:random_seed=552081137:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.07/1.96 % (2377819)------------------------------
% 8.07/1.96 % (2377819)------------------------------
% 8.07/1.96 % (2377836)Instruction limit reached!
% 8.07/1.96 % (2377836)------------------------------
% 8.07/1.96 % (2377836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.96 % (2377836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.96 % (2377836)CaDiCaL version: 2.1.3
% 8.07/1.96 % (2377836)Termination reason: Instruction limit
% 8.07/1.96 % (2377836)Termination phase: Saturation
% 8.07/1.96 % (2377836)Time elapsed: 0.152 s
% 8.07/1.96 % (2377836)Peak memory usage: 91 MB
% 8.07/1.96 % (2377836)Instructions burned: 286 (million)
% 8.07/1.96 % (2377844)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=4047891771:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.07/1.96 % (2377841)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2983579941:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.07/1.96 % (2377838)------------------------------
% 8.07/1.96 % (2377838)------------------------------
% 8.07/1.96 % (2377818)Refutation not found, incomplete strategy
% 8.07/1.96 % (2377818)------------------------------
% 8.07/1.96 % (2377818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.96 % (2377818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.96 % (2377818)CaDiCaL version: 2.1.3
% 8.07/1.96 % (2377818)Termination reason: Refutation not found, incomplete strategy
% 8.07/1.96 % (2377818)Time elapsed: 0.518 s
% 8.07/1.96 % (2377818)Peak memory usage: 127 MB
% 8.07/1.96 % (2377818)Instructions burned: 886 (million)
% 8.07/1.96 % (2377844)Instruction limit reached!
% 8.07/1.96 % (2377844)------------------------------
% 8.07/1.96 % (2377844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.96 % (2377844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.96 % (2377844)CaDiCaL version: 2.1.3
% 8.07/1.96 % (2377844)Termination reason: Instruction limit
% 8.07/1.96 % (2377844)Termination phase: Saturation
% 8.07/1.96 % (2377844)Time elapsed: 0.128 s
% 8.07/1.96 % (2377844)Peak memory usage: 92 MB
% 8.07/1.96 % (2377844)Instructions burned: 248 (million)
% 8.07/1.96 % (2377847)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=555124587:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.07/1.96 % (2377847)Refutation not found, incomplete strategy
% 8.07/1.96 % (2377847)------------------------------
% 8.07/1.96 % (2377847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.96 % (2377847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.96 % (2377847)CaDiCaL version: 2.1.3
% 8.07/1.96 % (2377847)Termination reason: Refutation not found, incomplete strategy
% 8.07/1.96 % (2377847)Time elapsed: 0.002 s
% 8.07/1.96 % (2377847)Peak memory usage: 88 MB
% 8.07/1.96 % (2377847)Instructions burned: 2 (million)
% 8.07/1.96 % (2377841)Instruction limit reached!
% 8.07/1.96 % (2377841)------------------------------
% 8.07/1.96 % (2377841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.96 % (2377841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.96 % (2377841)CaDiCaL version: 2.1.3
% 8.07/1.96 % (2377841)Termination reason: Instruction limit
% 8.07/1.96 % (2377841)Termination phase: Saturation
% 8.07/1.96 % (2377841)Time elapsed: 0.170 s
% 8.07/1.96 % (2377841)Peak memory usage: 92 MB
% 8.07/1.96 % (2377841)Instructions burned: 326 (million)
% 8.07/1.96 % (2377852)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4195712924:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.07/1.96 % (2377853)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4214904603:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 8.07/1.96 % (2377853)Refutation not found, incomplete strategy
% 8.07/1.96 % (2377853)------------------------------
% 8.07/1.96 % (2377853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.96 % (2377853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.96 % (2377853)CaDiCaL version: 2.1.3
% 8.07/1.96 % (2377853)Termination reason: Refutation not found, incomplete strategy
% 8.07/1.96 % (2377853)Time elapsed: 0.001 s
% 8.07/1.96 % (2377853)Peak memory usage: 88 MB
% 8.07/1.96 % (2377853)Instructions burned: 1 (million)
% 8.07/1.96 % (2377818)------------------------------
% 8.07/1.96 % (2377818)------------------------------
% 8.07/1.96 % (2377847)------------------------------
% 8.07/1.96 % (2377847)------------------------------
% 8.07/1.96 % (2377856)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1932211153:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.07/1.96 % (2377856)Refutation not found, incomplete strategy
% 8.07/1.96 % (2377856)------------------------------
% 8.07/1.96 % (2377856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.96 % (2377856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.96 % (2377856)CaDiCaL version: 2.1.3
% 8.07/1.96 % (2377856)Termination reason: Refutation not found, incomplete strategy
% 8.07/1.96 % (2377856)Time elapsed: 0.001 s
% 8.07/1.96 % (2377856)Peak memory usage: 88 MB
% 8.07/1.96 % (2377856)Instructions burned: 1 (million)
% 8.07/1.96 % (2377853)------------------------------
% 8.07/1.96 % (2377853)------------------------------
% 8.07/1.96 % (2377817)First to succeed.
% 8.07/1.96 % (2377862)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3579869564:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 8.07/1.96 % (2377862)Refutation not found, incomplete strategy
% 8.07/1.96 % (2377862)------------------------------
% 8.07/1.96 % (2377862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.96 % (2377862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.96 % (2377862)CaDiCaL version: 2.1.3
% 8.07/1.96 % (2377862)Termination reason: Refutation not found, incomplete strategy
% 8.07/1.96 % (2377862)Time elapsed: 0.001 s
% 8.07/1.96 % (2377862)Peak memory usage: 88 MB
% 8.07/1.96 % (2377862)Instructions burned: 1 (million)
% 8.07/1.96 % (2377817)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2377773"
% 8.07/1.96 % (2377864)lrs+10_1_sil=8000:sp=occurrence:random_seed=2486808106:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 8.07/1.96 % (2377856)------------------------------
% 8.07/1.96 % (2377856)------------------------------
% 8.07/1.96 % (2377862)------------------------------
% 8.07/1.96 % (2377862)------------------------------
% 8.07/1.96 % (2377865)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=607204624:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 8.07/1.96 % (2377865)Refutation not found, incomplete strategy
% 8.07/1.96 % (2377865)------------------------------
% 8.07/1.96 % (2377865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/1.96 % (2377865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/1.96 % (2377865)CaDiCaL version: 2.1.3
% 8.07/1.96 % (2377865)Termination reason: Refutation not found, incomplete strategy
% 8.07/1.96 % (2377865)Time elapsed: 0.001 s
% 8.07/1.96 % (2377865)Peak memory usage: 88 MB
% 8.07/1.96 % (2377817)Refutation found. Thanks to Tanya!
% 8.07/1.96 % SZS status Theorem for theBenchmark
% 8.07/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 9.94/2.09 % (2377817)------------------------------
% 9.94/2.09 % (2377817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.09 % (2377817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.09 % (2377817)CaDiCaL version: 2.1.3
% 9.94/2.09 % (2377817)Termination reason: Refutation
% 9.94/2.09 % (2377817)Time elapsed: 0.949 s
% 9.94/2.09 % (2377817)Peak memory usage: 135 MB
% 9.94/2.09 % (2377817)Instructions burned: 1617 (million)
% 9.94/2.09 % (2377817)------------------------------
% 9.94/2.09 % (2377817)------------------------------
% 9.94/2.09 % (2377773)Success in time 1.389 s
% 9.94/2.09 % Vampire exiting
%------------------------------------------------------------------------------