%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE073+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 : n017.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 11:40:15 AM UTC 2026
% Result : Theorem 41.90s 10.33s
% Output : Refutation 67.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 15
% Syntax : Number of formulae : 176 ( 176 unt; 0 def)
% Number of atoms : 176 ( 175 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 14 ( 14 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 331 ( 328 !; 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,conjecture,
! [X0,X1,X2] : domain(multiplication(X0,addition(domain(X1),domain(X2)))) = addition(domain(multiplication(X0,domain(X1))),domain(multiplication(X0,domain(X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f22,negated_conjecture,
~ ! [X0,X1,X2] : domain(multiplication(X0,addition(domain(X1),domain(X2)))) = addition(domain(multiplication(X0,domain(X1))),domain(multiplication(X0,domain(X2)))),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f23,plain,
? [X0,X1,X2] : domain(multiplication(X0,addition(domain(X1),domain(X2)))) != addition(domain(multiplication(X0,domain(X1))),domain(multiplication(X0,domain(X2)))),
inference(ennf_transformation,[],[f22]) ).
fof(f24,plain,
domain(multiplication(sK0,addition(domain(sK1),domain(sK2)))) != addition(domain(multiplication(sK0,domain(sK1))),domain(multiplication(sK0,domain(sK2)))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f23]) ).
fof(f25,plain,
domain(multiplication(sK0,addition(domain(sK1),domain(sK2)))) != addition(domain(multiplication(sK0,domain(sK1))),domain(multiplication(sK0,domain(sK2)))),
inference(cnf_transformation,[],[f24]) ).
fof(f26,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f28,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f30,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f33,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f34,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(f35,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f40,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f42,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f45,plain,
antidomain(antidomain(multiplication(sK0,addition(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))) != addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK2)))))),
inference(definition_unfolding,[],[f25,f32,f32,f32,f32,f32,f32,f32]) ).
fof(f46,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f26,f37]) ).
fof(f56,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f30,f33]) ).
fof(f57,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f26,f35]) ).
fof(f58,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[],[f26,f35]) ).
fof(f59,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f57,f42]) ).
fof(f62,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f59,f33]) ).
fof(f67,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f62,f37]) ).
fof(f71,plain,
zero = antidomain(one),
inference(superposition,[],[f35,f38]) ).
fof(f89,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f30,f29]) ).
fof(f96,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f29,f28]) ).
fof(f102,plain,
one = antidomain(antidomain(one)),
inference(superposition,[],[f38,f67]) ).
fof(f103,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f102,f71]) ).
fof(f113,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f30,f42]) ).
fof(f116,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
inference(superposition,[],[f27,f35]) ).
fof(f119,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f27,f38]) ).
fof(f121,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f27,f35]) ).
fof(f131,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f29,f27]) ).
fof(f139,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f121,f42]) ).
fof(f141,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(forward_demodulation,[],[f116,f113]) ).
fof(f146,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X1,X2)),multiplication(X0,X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f139,f26]) ).
fof(f147,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,X1)) = multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f139,f27]) ).
fof(f170,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(antidomain(antidomain(X0)),X1)) = multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(one,X1)),
inference(superposition,[],[f146,f33]) ).
fof(f179,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(antidomain(antidomain(X0)),X1)) = multiplication(antidomain(multiplication(antidomain(X0),X1)),X1),
inference(forward_demodulation,[],[f170,f37]) ).
fof(f204,plain,
! [X2,X0,X1] : addition(multiplication(X0,addition(X1,one)),X2) = addition(multiplication(X0,X1),addition(X0,X2)),
inference(superposition,[],[f131,f38]) ).
fof(f205,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,[],[f131,f26]) ).
fof(f229,plain,
! [X2,X0,X1] : addition(multiplication(X0,addition(X1,one)),X2) = addition(X0,addition(X2,multiplication(X0,X1))),
inference(forward_demodulation,[],[f204,f89]) ).
fof(f254,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),addition(X1,X0)) = addition(addition(X1,X0),multiplication(antidomain(X0),X1)),
inference(superposition,[],[f46,f139]) ).
fof(f269,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),addition(X1,X0)) = addition(X1,addition(X0,multiplication(antidomain(X0),X1))),
inference(forward_demodulation,[],[f254,f29]) ).
fof(f288,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f141,f33]) ).
fof(f303,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f288,f38]) ).
fof(f308,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f303,f67]) ).
fof(f310,plain,
! [X0] : antidomain(X0) = multiplication(antidomain(X0),antidomain(X0)),
inference(superposition,[],[f67,f308]) ).
fof(f354,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,one)),
inference(superposition,[],[f147,f33]) ).
fof(f375,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(X1))),X0),
inference(forward_demodulation,[],[f354,f38]) ).
fof(f465,plain,
! [X2,X0,X1] : addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(X0,X2),antidomain(X1))) = addition(multiplication(X0,one),multiplication(X2,antidomain(X1))),
inference(superposition,[],[f205,f33]) ).
fof(f505,plain,
! [X2,X0,X1] : addition(multiplication(antidomain(antidomain(X0)),addition(X1,X2)),multiplication(antidomain(X0),X2)) = addition(multiplication(antidomain(antidomain(X0)),X1),multiplication(one,X2)),
inference(superposition,[],[f205,f33]) ).
fof(f548,plain,
! [X2,X0,X1] : addition(multiplication(antidomain(antidomain(X0)),X1),X2) = addition(multiplication(antidomain(antidomain(X0)),addition(X1,X2)),multiplication(antidomain(X0),X2)),
inference(forward_demodulation,[],[f505,f37]) ).
fof(f580,plain,
! [X2,X0,X1] : addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(addition(X0,X2),antidomain(X1))) = addition(X0,multiplication(X2,antidomain(X1))),
inference(forward_demodulation,[],[f465,f38]) ).
fof(f593,plain,
! [X2,X0,X1] : addition(multiplication(antidomain(antidomain(X0)),X1),X2) = addition(multiplication(antidomain(X0),X2),multiplication(antidomain(antidomain(X0)),addition(X1,X2))),
inference(forward_demodulation,[],[f548,f30]) ).
fof(f640,plain,
! [X0,X1] : multiplication(zero,X1) = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(superposition,[],[f31,f35]) ).
fof(f681,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(forward_demodulation,[],[f640,f40]) ).
fof(f705,plain,
! [X0,X1] : addition(X0,multiplication(X0,antidomain(X1))) = addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(X1))),
inference(superposition,[],[f580,f28]) ).
fof(f719,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(X1))) = addition(multiplication(antidomain(X0),antidomain(antidomain(X1))),multiplication(one,antidomain(X1))),
inference(superposition,[],[f580,f56]) ).
fof(f739,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(X1))) = addition(multiplication(one,antidomain(X1)),multiplication(antidomain(X0),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f719,f30]) ).
fof(f751,plain,
! [X0,X1] : addition(X0,multiplication(X0,antidomain(X1))) = addition(multiplication(X0,antidomain(X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f705,f30]) ).
fof(f761,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(X1))) = addition(antidomain(X1),multiplication(antidomain(X0),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f739,f37]) ).
fof(f771,plain,
! [X0,X1] : multiplication(X0,addition(antidomain(X1),antidomain(antidomain(X1)))) = addition(X0,multiplication(X0,antidomain(X1))),
inference(forward_demodulation,[],[f751,f27]) ).
fof(f782,plain,
! [X0,X1] : multiplication(X0,addition(antidomain(X1),antidomain(antidomain(X1)))) = multiplication(X0,addition(one,antidomain(X1))),
inference(forward_demodulation,[],[f771,f119]) ).
fof(f791,plain,
! [X0,X1] : multiplication(X0,one) = multiplication(X0,addition(one,antidomain(X1))),
inference(forward_demodulation,[],[f782,f56]) ).
fof(f797,plain,
! [X0,X1] : multiplication(X0,addition(one,antidomain(X1))) = X0,
inference(forward_demodulation,[],[f791,f38]) ).
fof(f814,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f96,f56]) ).
fof(f818,plain,
! [X0,X1] : multiplication(antidomain(addition(X0,X1)),X0) = multiplication(antidomain(addition(X0,X1)),addition(X0,X1)),
inference(superposition,[],[f139,f96]) ).
fof(f833,plain,
! [X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),X0),
inference(forward_demodulation,[],[f818,f35]) ).
fof(f836,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f814,f30]) ).
fof(f922,plain,
! [X2,X0,X1] : multiplication(addition(antidomain(X1),X0),multiplication(X1,X2)) = multiplication(addition(zero,multiplication(X0,X1)),X2),
inference(superposition,[],[f31,f58]) ).
fof(f951,plain,
! [X2,X0,X1] : multiplication(multiplication(X0,X1),X2) = multiplication(addition(antidomain(X1),X0),multiplication(X1,X2)),
inference(forward_demodulation,[],[f922,f113]) ).
fof(f976,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(addition(antidomain(X1),X0),multiplication(X1,X2)),
inference(forward_demodulation,[],[f951,f31]) ).
fof(f1248,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,[],[f34,f31]) ).
fof(f1250,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,[],[f59,f34]) ).
fof(f1263,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f1250,f35]) ).
fof(f1264,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,[],[f1248,f31]) ).
fof(f1364,plain,
! [X2,X0,X1] : antidomain(addition(zero,multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))) = addition(antidomain(multiplication(addition(antidomain(multiplication(X1,antidomain(antidomain(X2)))),X0),multiplication(X1,X2))),antidomain(addition(zero,multiplication(X0,multiplication(X1,antidomain(antidomain(X2))))))),
inference(superposition,[],[f1264,f58]) ).
fof(f1384,plain,
! [X2,X0,X1] : antidomain(addition(zero,multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))) = addition(antidomain(addition(zero,multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))),antidomain(multiplication(addition(antidomain(multiplication(X1,antidomain(antidomain(X2)))),X0),multiplication(X1,X2)))),
inference(forward_demodulation,[],[f1364,f30]) ).
fof(f1415,plain,
! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2))))) = addition(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2))))),antidomain(multiplication(addition(antidomain(multiplication(X1,antidomain(antidomain(X2)))),X0),multiplication(X1,X2)))),
inference(forward_demodulation,[],[f1384,f113]) ).
fof(f1669,plain,
! [X0,X1] : zero = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(superposition,[],[f1263,f681]) ).
fof(f1672,plain,
! [X0,X1] : zero = multiplication(one,multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(forward_demodulation,[],[f1669,f103]) ).
fof(f1694,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f1672,f37]) ).
fof(f1819,plain,
! [X0,X1] : multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1)))))) = multiplication(antidomain(zero),antidomain(X0)),
inference(superposition,[],[f375,f1694]) ).
fof(f1857,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(one,multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1)))))),
inference(forward_demodulation,[],[f1819,f103]) ).
fof(f1879,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1))))),
inference(forward_demodulation,[],[f1857,f37]) ).
fof(f1893,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1879,f308]) ).
fof(f1895,plain,
! [X0,X1] : antidomain(X0) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1893,f37]) ).
fof(f1928,plain,
! [X2,X0,X1] : multiplication(antidomain(X0),X2) = multiplication(antidomain(X0),multiplication(antidomain(multiplication(X0,X1)),X2)),
inference(superposition,[],[f31,f1895]) ).
fof(f1930,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(multiplication(X0,X1)),antidomain(X0)),
inference(superposition,[],[f46,f1895]) ).
fof(f1948,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1930,f30]) ).
fof(f1966,plain,
! [X0,X1] : addition(antidomain(X0),antidomain(multiplication(X0,X1))) = multiplication(one,antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1948,f836]) ).
fof(f1970,plain,
! [X0,X1] : antidomain(multiplication(X0,X1)) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1966,f37]) ).
fof(f1980,plain,
! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,X2))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,multiplication(X1,X2)))),
inference(superposition,[],[f1970,f31]) ).
fof(f2106,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(X1),antidomain(antidomain(X0)))) = addition(antidomain(X1),addition(antidomain(X0),multiplication(antidomain(X1),antidomain(antidomain(X0))))),
inference(superposition,[],[f96,f761]) ).
fof(f2116,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(X1))) = addition(antidomain(X1),addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(X1)))),
inference(superposition,[],[f96,f761]) ).
fof(f2128,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(X1))) = multiplication(addition(one,antidomain(antidomain(X0))),addition(antidomain(X1),antidomain(X0))),
inference(forward_demodulation,[],[f2116,f269]) ).
fof(f2135,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(X1),antidomain(antidomain(X0)))) = addition(multiplication(antidomain(X1),addition(antidomain(antidomain(X0)),one)),antidomain(X0)),
inference(forward_demodulation,[],[f2106,f229]) ).
fof(f2148,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(X1))) = multiplication(one,addition(antidomain(X1),antidomain(X0))),
inference(forward_demodulation,[],[f2128,f836]) ).
fof(f2150,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(X1),antidomain(antidomain(X0)))) = addition(antidomain(X0),multiplication(antidomain(X1),addition(antidomain(antidomain(X0)),one))),
inference(forward_demodulation,[],[f2135,f30]) ).
fof(f2160,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(X1))) = addition(antidomain(X1),antidomain(X0)),
inference(forward_demodulation,[],[f2148,f37]) ).
fof(f2162,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(X1),antidomain(antidomain(X0)))) = addition(antidomain(X0),multiplication(antidomain(X1),addition(one,antidomain(antidomain(X0))))),
inference(forward_demodulation,[],[f2150,f30]) ).
fof(f2169,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(X1),antidomain(antidomain(X0)))) = addition(antidomain(X0),antidomain(X1)),
inference(forward_demodulation,[],[f2162,f797]) ).
fof(f2175,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(X1),antidomain(antidomain(X0))),
inference(superposition,[],[f2160,f308]) ).
fof(f2188,plain,
! [X0,X1] : addition(zero,multiplication(multiplication(antidomain(antidomain(X1)),antidomain(X0)),X1)) = multiplication(addition(antidomain(X0),antidomain(X1)),X1),
inference(superposition,[],[f58,f2160]) ).
fof(f2205,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = addition(zero,multiplication(multiplication(antidomain(antidomain(X1)),antidomain(X0)),X1)),
inference(forward_demodulation,[],[f2188,f59]) ).
fof(f2216,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(multiplication(antidomain(antidomain(X1)),antidomain(X0)),X1),
inference(forward_demodulation,[],[f2205,f113]) ).
fof(f2223,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(antidomain(X1)),multiplication(antidomain(X0),X1)),
inference(forward_demodulation,[],[f2216,f31]) ).
fof(f2265,plain,
! [X0,X1] : addition(multiplication(antidomain(antidomain(X0)),antidomain(X1)),antidomain(antidomain(X1))) = addition(multiplication(antidomain(X0),antidomain(antidomain(X1))),multiplication(antidomain(antidomain(X0)),one)),
inference(superposition,[],[f593,f56]) ).
fof(f2300,plain,
! [X0,X1] : addition(multiplication(antidomain(antidomain(X0)),antidomain(X1)),antidomain(antidomain(X1))) = addition(multiplication(antidomain(antidomain(X0)),one),multiplication(antidomain(X0),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f2265,f30]) ).
fof(f2336,plain,
! [X0,X1] : addition(multiplication(antidomain(antidomain(X0)),antidomain(X1)),antidomain(antidomain(X1))) = addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f2300,f38]) ).
fof(f2357,plain,
! [X0,X1] : addition(multiplication(antidomain(antidomain(X0)),antidomain(X1)),antidomain(antidomain(X1))) = addition(antidomain(antidomain(X1)),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f2336,f2175]) ).
fof(f2368,plain,
! [X0,X1] : addition(antidomain(antidomain(X1)),antidomain(antidomain(X0))) = addition(antidomain(antidomain(X1)),multiplication(antidomain(antidomain(X0)),antidomain(X1))),
inference(forward_demodulation,[],[f2357,f30]) ).
fof(f2400,plain,
! [X0,X1] : multiplication(antidomain(antidomain(antidomain(X0))),multiplication(antidomain(antidomain(X1)),antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),addition(antidomain(antidomain(X0)),antidomain(antidomain(X1)))),
inference(superposition,[],[f141,f2368]) ).
fof(f2410,plain,
! [X0,X1] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(antidomain(X1))) = multiplication(antidomain(antidomain(antidomain(X0))),multiplication(antidomain(antidomain(X1)),antidomain(X0))),
inference(forward_demodulation,[],[f2400,f141]) ).
fof(f2424,plain,
! [X0,X1] : multiplication(antidomain(antidomain(X1)),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(antidomain(X1))),
inference(forward_demodulation,[],[f2410,f2223]) ).
fof(f2430,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(antidomain(X1))) = multiplication(antidomain(antidomain(X1)),antidomain(X0)),
inference(forward_demodulation,[],[f2424,f308]) ).
fof(f2440,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(X1)) = multiplication(antidomain(X1),antidomain(X0)),
inference(superposition,[],[f2430,f308]) ).
fof(f2446,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(X1))) = addition(antidomain(X1),multiplication(antidomain(antidomain(X1)),antidomain(X0))),
inference(superposition,[],[f761,f2430]) ).
fof(f2500,plain,
! [X2,X0,X1] : multiplication(multiplication(antidomain(X0),antidomain(antidomain(X1))),X2) = multiplication(antidomain(antidomain(X1)),multiplication(antidomain(X0),X2)),
inference(superposition,[],[f31,f2430]) ).
fof(f2525,plain,
! [X2,X0,X1] : multiplication(antidomain(X0),multiplication(antidomain(antidomain(X1)),X2)) = multiplication(antidomain(antidomain(X1)),multiplication(antidomain(X0),X2)),
inference(forward_demodulation,[],[f2500,f31]) ).
fof(f2541,plain,
! [X0,X1] : addition(antidomain(X0),multiplication(antidomain(antidomain(X0)),antidomain(X1))) = addition(antidomain(X0),antidomain(X1)),
inference(forward_demodulation,[],[f2446,f2160]) ).
fof(f4250,plain,
! [X0,X1] : antidomain(multiplication(X1,antidomain(antidomain(X0)))) = addition(antidomain(multiplication(X1,antidomain(antidomain(X0)))),antidomain(multiplication(addition(antidomain(antidomain(antidomain(X0))),X1),multiplication(antidomain(antidomain(X0)),X0)))),
inference(superposition,[],[f1415,f310]) ).
fof(f4385,plain,
! [X0,X1] : antidomain(multiplication(X1,antidomain(antidomain(X0)))) = addition(antidomain(multiplication(X1,antidomain(antidomain(X0)))),antidomain(multiplication(X1,multiplication(antidomain(antidomain(X0)),X0)))),
inference(forward_demodulation,[],[f4250,f976]) ).
fof(f4445,plain,
! [X0,X1] : antidomain(multiplication(X1,antidomain(antidomain(X0)))) = antidomain(multiplication(X1,multiplication(antidomain(antidomain(X0)),X0))),
inference(forward_demodulation,[],[f4385,f1980]) ).
fof(f4494,plain,
! [X0,X1] : antidomain(multiplication(X1,X0)) = antidomain(multiplication(X1,antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f4445,f67]) ).
fof(f5888,plain,
! [X0,X1] : multiplication(antidomain(zero),X0) = multiplication(antidomain(zero),multiplication(antidomain(antidomain(addition(X0,X1))),X0)),
inference(superposition,[],[f179,f833]) ).
fof(f5983,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(one,multiplication(antidomain(antidomain(addition(X0,X1))),X0)),
inference(forward_demodulation,[],[f5888,f103]) ).
fof(f6024,plain,
! [X0,X1] : multiplication(one,X0) = multiplication(antidomain(antidomain(addition(X0,X1))),X0),
inference(forward_demodulation,[],[f5983,f37]) ).
fof(f6048,plain,
! [X0,X1] : multiplication(antidomain(antidomain(addition(X0,X1))),X0) = X0,
inference(forward_demodulation,[],[f6024,f37]) ).
fof(f6228,plain,
! [X0,X1] : antidomain(antidomain(antidomain(addition(X0,X1)))) = multiplication(antidomain(antidomain(antidomain(addition(X0,X1)))),antidomain(X0)),
inference(superposition,[],[f1895,f6048]) ).
fof(f6287,plain,
! [X0,X1] : antidomain(antidomain(antidomain(addition(X0,X1)))) = multiplication(antidomain(X0),antidomain(antidomain(antidomain(addition(X0,X1))))),
inference(forward_demodulation,[],[f6228,f2440]) ).
fof(f6332,plain,
! [X0,X1] : antidomain(addition(X0,X1)) = multiplication(antidomain(X0),antidomain(addition(X0,X1))),
inference(forward_demodulation,[],[f6287,f308]) ).
fof(f7630,plain,
antidomain(antidomain(multiplication(sK0,addition(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))) != addition(antidomain(antidomain(multiplication(sK0,sK1))),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK2)))))),
inference(superposition,[],[f45,f4494]) ).
fof(f7652,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(antidomain(X0),X1)),antidomain(antidomain(X1))),
inference(superposition,[],[f179,f4494]) ).
fof(f7732,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1)))) = multiplication(antidomain(antidomain(X1)),antidomain(multiplication(antidomain(X0),X1))),
inference(forward_demodulation,[],[f7652,f2430]) ).
fof(f7743,plain,
antidomain(antidomain(multiplication(sK0,addition(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))) != addition(antidomain(antidomain(multiplication(sK0,sK1))),antidomain(antidomain(multiplication(sK0,sK2)))),
inference(forward_demodulation,[],[f7630,f4494]) ).
fof(f7760,plain,
! [X0,X1] : multiplication(antidomain(antidomain(X1)),antidomain(multiplication(antidomain(X0),X1))) = multiplication(antidomain(antidomain(X0)),multiplication(antidomain(multiplication(antidomain(X0),X1)),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f7732,f2525]) ).
fof(f7771,plain,
! [X0,X1] : multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1))) = multiplication(antidomain(antidomain(X1)),antidomain(multiplication(antidomain(X0),X1))),
inference(forward_demodulation,[],[f7760,f1928]) ).
fof(f9034,plain,
! [X0,X1] : antidomain(multiplication(antidomain(X0),X1)) = addition(antidomain(antidomain(antidomain(X1))),antidomain(multiplication(antidomain(X0),X1))),
inference(superposition,[],[f1970,f2223]) ).
fof(f9045,plain,
! [X0,X1] : antidomain(multiplication(antidomain(X0),X1)) = addition(antidomain(X1),antidomain(multiplication(antidomain(X0),X1))),
inference(forward_demodulation,[],[f9034,f308]) ).
fof(f9790,plain,
! [X0,X1] : addition(antidomain(X1),multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1)))) = addition(antidomain(X1),antidomain(multiplication(antidomain(X0),X1))),
inference(superposition,[],[f2541,f7771]) ).
fof(f9875,plain,
! [X0,X1] : antidomain(multiplication(antidomain(X0),X1)) = addition(antidomain(X1),multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f9790,f9045]) ).
fof(f9938,plain,
! [X0,X1] : antidomain(multiplication(antidomain(X0),X1)) = addition(antidomain(X1),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f9875,f2169]) ).
fof(f10052,plain,
antidomain(antidomain(multiplication(sK0,addition(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))) != antidomain(multiplication(antidomain(multiplication(sK0,sK2)),antidomain(multiplication(sK0,sK1)))),
inference(superposition,[],[f7743,f9938]) ).
fof(f10069,plain,
! [X0,X1] : antidomain(multiplication(antidomain(X0),X1)) = addition(antidomain(antidomain(X0)),antidomain(X1)),
inference(superposition,[],[f30,f9938]) ).
fof(f10073,plain,
! [X0,X1] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X1)) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(multiplication(antidomain(X0),X1))),
inference(superposition,[],[f139,f9938]) ).
fof(f10102,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(X1)) = multiplication(antidomain(X0),antidomain(multiplication(antidomain(X0),X1))),
inference(forward_demodulation,[],[f10073,f308]) ).
fof(f10111,plain,
antidomain(antidomain(multiplication(sK0,addition(antidomain(antidomain(sK1)),antidomain(antidomain(sK2)))))) != antidomain(multiplication(antidomain(multiplication(sK0,sK1)),antidomain(multiplication(sK0,sK2)))),
inference(forward_demodulation,[],[f10052,f2440]) ).
fof(f10129,plain,
antidomain(multiplication(antidomain(multiplication(sK0,sK1)),antidomain(multiplication(sK0,sK2)))) != antidomain(antidomain(multiplication(sK0,antidomain(multiplication(antidomain(sK1),antidomain(sK2)))))),
inference(forward_demodulation,[],[f10111,f10069]) ).
fof(f10154,plain,
! [X0,X1] : multiplication(antidomain(X0),antidomain(multiplication(antidomain(X0),X1))) = multiplication(antidomain(X0),antidomain(addition(X0,X1))),
inference(superposition,[],[f10102,f141]) ).
fof(f10302,plain,
! [X0,X1] : antidomain(addition(X0,X1)) = multiplication(antidomain(X0),antidomain(multiplication(antidomain(X0),X1))),
inference(forward_demodulation,[],[f10154,f6332]) ).
fof(f17390,plain,
! [X0,X1] : antidomain(addition(X0,X1)) = multiplication(antidomain(X0),antidomain(X1)),
inference(superposition,[],[f10102,f10302]) ).
fof(f226859,plain,
antidomain(multiplication(antidomain(multiplication(sK0,sK1)),antidomain(multiplication(sK0,sK2)))) != antidomain(antidomain(multiplication(sK0,antidomain(antidomain(addition(sK1,sK2)))))),
inference(superposition,[],[f10129,f17390]) ).
fof(f226860,plain,
antidomain(multiplication(antidomain(multiplication(sK0,sK1)),antidomain(multiplication(sK0,sK2)))) != antidomain(antidomain(multiplication(sK0,addition(sK1,sK2)))),
inference(forward_demodulation,[],[f226859,f4494]) ).
fof(f226862,plain,
antidomain(antidomain(multiplication(sK0,addition(sK1,sK2)))) != antidomain(antidomain(addition(multiplication(sK0,sK1),multiplication(sK0,sK2)))),
inference(forward_demodulation,[],[f226860,f17390]) ).
fof(f226864,plain,
antidomain(antidomain(multiplication(sK0,addition(sK1,sK2)))) != antidomain(antidomain(multiplication(sK0,addition(sK1,sK2)))),
inference(forward_demodulation,[],[f226862,f27]) ).
fof(f226865,plain,
$false,
inference(trivial_inequality_removal,[],[f226864]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE073+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n017.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 13:04:21 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 11.74/2.53 % (2535482)Detected formulas, will run a generic FOF schedule.
% 11.74/2.53 % (2535487)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=1012238709:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.74/2.53 % (2535493)dis-21_1_sil=8000:lcm=predicate:random_seed=722120936: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)
% 11.74/2.53 % (2535491)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1539138677:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.74/2.53 % (2535490)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2976730901:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.74/2.53 % (2535488)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=1297698121:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.74/2.53 % (2535489)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=3860492233:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.74/2.53 % (2535493)Refutation not found, incomplete strategy
% 11.74/2.53 % (2535493)------------------------------
% 11.74/2.53 % (2535493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.53 % (2535493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.53 % (2535493)CaDiCaL version: 2.1.3
% 11.74/2.53 % (2535493)Termination reason: Refutation not found, incomplete strategy
% 11.74/2.53 % (2535493)Time elapsed: 0.002 s
% 11.74/2.53 % (2535493)Peak memory usage: 88 MB
% 11.74/2.53 % (2535493)Instructions burned: 1 (million)
% 11.74/2.53 % (2535490)Refutation not found, incomplete strategy
% 11.74/2.53 % (2535490)------------------------------
% 11.74/2.53 % (2535490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.53 % (2535490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.53 % (2535490)CaDiCaL version: 2.1.3
% 11.74/2.53 % (2535490)Termination reason: Refutation not found, incomplete strategy
% 11.74/2.53 % (2535490)Time elapsed: 0.001 s
% 11.74/2.53 % (2535490)Peak memory usage: 88 MB
% 11.74/2.53 % (2535490)Instructions burned: 1 (million)
% 11.74/2.53 % (2535492)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1074632452:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.74/2.53 % (2535491)Instruction limit reached!
% 11.74/2.53 % (2535491)------------------------------
% 11.74/2.53 % (2535491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.53 % (2535491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.53 % (2535491)CaDiCaL version: 2.1.3
% 11.74/2.53 % (2535491)Termination reason: Instruction limit
% 11.74/2.53 % (2535491)Termination phase: Saturation
% 11.74/2.53 % (2535491)Time elapsed: 0.071 s
% 11.74/2.53 % (2535491)Peak memory usage: 89 MB
% 11.74/2.53 % (2535491)Instructions burned: 120 (million)
% 11.74/2.53 % (2535492)Instruction limit reached!
% 11.74/2.53 % (2535492)------------------------------
% 11.74/2.53 % (2535492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.53 % (2535492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.53 % (2535492)CaDiCaL version: 2.1.3
% 11.74/2.53 % (2535492)Termination reason: Instruction limit
% 11.74/2.53 % (2535492)Termination phase: Saturation
% 11.74/2.53 % (2535492)Time elapsed: 0.083 s
% 11.74/2.53 % (2535492)Peak memory usage: 89 MB
% 11.74/2.53 % (2535492)Instructions burned: 140 (million)
% 11.74/2.53 % (2535501)lrs+10_1_sil=8000:sp=occurrence:random_seed=2079651350:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.74/2.53 % (2535502)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2335921498:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.74/2.53 % (2535493)------------------------------
% 11.74/2.53 % (2535493)------------------------------
% 11.74/2.53 % (2535490)------------------------------
% 11.74/2.53 % (2535490)------------------------------
% 11.74/2.53 % (2535502)Instruction limit reached!
% 11.74/2.53 % (2535502)------------------------------
% 11.74/2.53 % (2535502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.53 % (2535502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/3.08 % (2535502)CaDiCaL version: 2.1.3
% 15.74/3.08 % (2535502)Termination reason: Instruction limit
% 15.74/3.08 % (2535502)Termination phase: Saturation
% 15.74/3.08 % (2535502)Time elapsed: 0.084 s
% 15.74/3.08 % (2535502)Peak memory usage: 89 MB
% 15.74/3.08 % (2535502)Instructions burned: 159 (million)
% 15.74/3.08 % (2535505)lrs+1011_1_sil=32000:sp=occurrence:random_seed=872662025:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 15.74/3.08 % (2535506)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=4171590782:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 15.74/3.08 % (2535501)Instruction limit reached!
% 15.74/3.08 % (2535501)------------------------------
% 15.74/3.08 % (2535501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/3.08 % (2535501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/3.08 % (2535501)CaDiCaL version: 2.1.3
% 15.74/3.08 % (2535501)Termination reason: Instruction limit
% 15.74/3.08 % (2535501)Termination phase: Saturation
% 15.74/3.08 % (2535501)Time elapsed: 0.175 s
% 15.74/3.08 % (2535501)Peak memory usage: 91 MB
% 15.74/3.08 % (2535501)Instructions burned: 286 (million)
% 15.74/3.08 % (2535507)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1883307869:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 15.74/3.08 % (2535507)Refutation not found, incomplete strategy
% 15.74/3.08 % (2535507)------------------------------
% 15.74/3.08 % (2535507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/3.08 % (2535507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/3.08 % (2535507)CaDiCaL version: 2.1.3
% 15.74/3.08 % (2535507)Termination reason: Refutation not found, incomplete strategy
% 15.74/3.08 % (2535507)Time elapsed: 0.002 s
% 15.74/3.08 % (2535507)Peak memory usage: 88 MB
% 15.74/3.08 % (2535507)Instructions burned: 1 (million)
% 15.74/3.08 % (2535510)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3598098080:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 15.74/3.08 % (2535506)Instruction limit reached!
% 15.74/3.08 % (2535506)------------------------------
% 15.74/3.08 % (2535506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/3.08 % (2535506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/3.08 % (2535506)CaDiCaL version: 2.1.3
% 15.74/3.08 % (2535506)Termination reason: Instruction limit
% 15.74/3.08 % (2535506)Termination phase: Saturation
% 15.74/3.08 % (2535506)Time elapsed: 0.148 s
% 15.74/3.08 % (2535506)Peak memory usage: 91 MB
% 15.74/3.08 % (2535506)Instructions burned: 248 (million)
% 15.74/3.08 % (2535505)Instruction limit reached!
% 15.74/3.08 % (2535505)------------------------------
% 15.74/3.08 % (2535505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/3.08 % (2535505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/3.08 % (2535505)CaDiCaL version: 2.1.3
% 15.74/3.08 % (2535505)Termination reason: Instruction limit
% 15.74/3.08 % (2535505)Termination phase: Saturation
% 15.74/3.08 % (2535505)Time elapsed: 0.194 s
% 15.74/3.08 % (2535505)Peak memory usage: 92 MB
% 15.74/3.08 % (2535505)Instructions burned: 326 (million)
% 15.74/3.08 % (2535489)Refutation not found, incomplete strategy
% 15.74/3.08 % (2535489)------------------------------
% 15.74/3.08 % (2535489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/3.08 % (2535489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/3.08 % (2535489)CaDiCaL version: 2.1.3
% 15.74/3.08 % (2535489)Termination reason: Refutation not found, incomplete strategy
% 15.74/3.08 % (2535489)Time elapsed: 0.596 s
% 15.74/3.08 % (2535489)Peak memory usage: 127 MB
% 15.74/3.08 % (2535489)Instructions burned: 889 (million)
% 15.74/3.08 % (2535513)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1135656329:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 15.74/3.08 % (2535513)Refutation not found, incomplete strategy
% 15.74/3.08 % (2535513)------------------------------
% 15.74/3.08 % (2535513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.74/3.08 % (2535513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.74/3.08 % (2535513)CaDiCaL version: 2.1.3
% 15.74/3.08 % (2535513)Termination reason: Refutation not found, incomplete strategy
% 24.70/4.38 % (2535513)Time elapsed: 0.002 s
% 24.70/4.38 % (2535513)Peak memory usage: 88 MB
% 24.70/4.38 % (2535513)Instructions burned: 1 (million)
% 24.70/4.38 % (2535507)------------------------------
% 24.70/4.38 % (2535507)------------------------------
% 24.70/4.38 % (2535514)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1229670215:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 24.70/4.38 % (2535514)Refutation not found, incomplete strategy
% 24.70/4.38 % (2535514)------------------------------
% 24.70/4.38 % (2535514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.70/4.38 % (2535514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.70/4.38 % (2535514)CaDiCaL version: 2.1.3
% 24.70/4.38 % (2535514)Termination reason: Refutation not found, incomplete strategy
% 24.70/4.38 % (2535514)Time elapsed: 0.001 s
% 24.70/4.38 % (2535514)Peak memory usage: 88 MB
% 24.70/4.38 % (2535516)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3050082371:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 24.70/4.38 % (2535516)Refutation not found, incomplete strategy
% 24.70/4.38 % (2535516)------------------------------
% 24.70/4.38 % (2535516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.70/4.38 % (2535516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.70/4.38 % (2535516)CaDiCaL version: 2.1.3
% 24.70/4.38 % (2535516)Termination reason: Refutation not found, incomplete strategy
% 24.70/4.38 % (2535516)Time elapsed: 0.002 s
% 24.70/4.38 % (2535516)Peak memory usage: 88 MB
% 24.70/4.38 % (2535516)Instructions burned: 1 (million)
% 24.70/4.38 % (2535489)------------------------------
% 24.70/4.38 % (2535489)------------------------------
% 24.70/4.38 % (2535513)------------------------------
% 24.70/4.38 % (2535513)------------------------------
% 24.70/4.38 % (2535514)------------------------------
% 24.70/4.38 % (2535514)------------------------------
% 24.70/4.38 % (2535519)lrs+10_1_sil=8000:sp=occurrence:random_seed=1214101536:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 24.70/4.38 % (2535520)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=676311224:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 24.70/4.38 % (2535520)Refutation not found, incomplete strategy
% 24.70/4.38 % (2535520)------------------------------
% 24.70/4.38 % (2535520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.70/4.38 % (2535520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.70/4.38 % (2535520)CaDiCaL version: 2.1.3
% 24.70/4.38 % (2535520)Termination reason: Refutation not found, incomplete strategy
% 24.70/4.38 % (2535520)Time elapsed: 0.001 s
% 24.70/4.38 % (2535520)Peak memory usage: 88 MB
% 24.70/4.38 % (2535516)------------------------------
% 24.70/4.38 % (2535516)------------------------------
% 24.70/4.38 % (2535521)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3371871408:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 24.70/4.38 % (2535524)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2758429750:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 24.70/4.38 % (2535524)Refutation not found, incomplete strategy
% 24.70/4.38 % (2535524)------------------------------
% 24.70/4.38 % (2535524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.70/4.38 % (2535524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.70/4.38 % (2535524)CaDiCaL version: 2.1.3
% 24.70/4.38 % (2535524)Termination reason: Refutation not found, incomplete strategy
% 24.70/4.38 % (2535524)Time elapsed: 0.002 s
% 24.70/4.38 % (2535524)Peak memory usage: 89 MB
% 24.70/4.38 % (2535524)Instructions burned: 1 (million)
% 24.70/4.38 % (2535520)------------------------------
% 24.70/4.38 % (2535520)------------------------------
% 24.70/4.38 % (2535527)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=348071362:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 24.70/4.38 % (2535524)------------------------------
% 24.70/4.38 % (2535524)------------------------------
% 24.70/4.38 % (2535519)Instruction limit reached!
% 24.70/4.38 % (2535519)------------------------------
% 24.70/4.38 % (2535519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.70/4.38 % (2535519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.92 % (2535519)CaDiCaL version: 2.1.3
% 57.42/8.92 % (2535519)Termination reason: Instruction limit
% 57.42/8.92 % (2535519)Termination phase: Saturation
% 57.42/8.92 % (2535519)Time elapsed: 0.541 s
% 57.42/8.92 % (2535519)Peak memory usage: 97 MB
% 57.42/8.92 % (2535519)Instructions burned: 907 (million)
% 57.42/8.92 % (2535529)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1298888797:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 57.42/8.92 % (2535530)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=2402527085:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 57.42/8.92 % (2535530)Instruction limit reached!
% 57.42/8.92 % (2535530)------------------------------
% 57.42/8.92 % (2535530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.92 % (2535530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.92 % (2535530)CaDiCaL version: 2.1.3
% 57.42/8.92 % (2535530)Termination reason: Instruction limit
% 57.42/8.92 % (2535530)Termination phase: Saturation
% 57.42/8.92 % (2535530)Time elapsed: 0.082 s
% 57.42/8.92 % (2535530)Peak memory usage: 90 MB
% 57.42/8.92 % (2535530)Instructions burned: 125 (million)
% 57.42/8.92 % (2535527)Instruction limit reached!
% 57.42/8.92 % (2535527)------------------------------
% 57.42/8.92 % (2535527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.92 % (2535527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.92 % (2535527)CaDiCaL version: 2.1.3
% 57.42/8.92 % (2535527)Termination reason: Instruction limit
% 57.42/8.92 % (2535527)Termination phase: Saturation
% 57.42/8.92 % (2535527)Time elapsed: 0.355 s
% 57.42/8.92 % (2535527)Peak memory usage: 96 MB
% 57.42/8.92 % (2535527)Instructions burned: 594 (million)
% 57.42/8.92 % (2535533)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1917763629:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 57.42/8.92 % (2535534)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2117417774:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 57.42/8.92 % (2535534)Refutation not found, incomplete strategy
% 57.42/8.92 % (2535534)------------------------------
% 57.42/8.92 % (2535534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.92 % (2535534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.92 % (2535534)CaDiCaL version: 2.1.3
% 57.42/8.92 % (2535534)Termination reason: Refutation not found, incomplete strategy
% 57.42/8.92 % (2535534)Time elapsed: 0.001 s
% 57.42/8.92 % (2535534)Peak memory usage: 88 MB
% 57.42/8.92 % (2535533)Instruction limit reached!
% 57.42/8.92 % (2535533)------------------------------
% 57.42/8.92 % (2535533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.92 % (2535533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.92 % (2535533)CaDiCaL version: 2.1.3
% 57.42/8.92 % (2535533)Termination reason: Instruction limit
% 57.42/8.92 % (2535533)Termination phase: Saturation
% 57.42/8.92 % (2535533)Time elapsed: 0.073 s
% 57.42/8.92 % (2535533)Peak memory usage: 89 MB
% 57.42/8.92 % (2535533)Instructions burned: 135 (million)
% 57.42/8.92 % (2535510)Instruction limit reached!
% 57.42/8.92 % (2535510)------------------------------
% 57.42/8.92 % (2535510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.92 % (2535510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.92 % (2535510)CaDiCaL version: 2.1.3
% 57.42/8.92 % (2535510)Termination reason: Instruction limit
% 57.42/8.92 % (2535510)Termination phase: Saturation
% 57.42/8.92 % (2535510)Time elapsed: 1.456 s
% 57.42/8.92 % (2535510)Peak memory usage: 143 MB
% 57.42/8.92 % (2535510)Instructions burned: 2351 (million)
% 57.42/8.92 % (2535537)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1406847454:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 57.42/8.92 % (2535537)Refutation not found, incomplete strategy
% 57.42/8.92 % (2535537)------------------------------
% 57.42/8.92 % (2535537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.42/8.92 % (2535537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.42/8.92 % (2535537)CaDiCaL version: 2.1.3
% 57.42/8.92 % (2535537)Termination reason: Refutation not found, incomplete strategy
% 41.90/10.33 % (2535537)Time elapsed: 0.001 s
% 41.90/10.33 % (2535537)Peak memory usage: 88 MB
% 41.90/10.33 % (2535537)Instructions burned: 1 (million)
% 41.90/10.33 % (2535538)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=1465211615:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 41.90/10.33 % (2535534)------------------------------
% 41.90/10.33 % (2535534)------------------------------
% 41.90/10.33 % (2535541)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=3067750872:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2977 on theBenchmark for (2977ds/150Mi)
% 41.90/10.33 % (2535537)------------------------------
% 41.90/10.33 % (2535537)------------------------------
% 41.90/10.33 % (2535541)Instruction limit reached!
% 41.90/10.33 % (2535541)------------------------------
% 41.90/10.33 % (2535541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.90/10.33 % (2535541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.90/10.33 % (2535541)CaDiCaL version: 2.1.3
% 41.90/10.33 % (2535541)Termination reason: Instruction limit
% 41.90/10.33 % (2535541)Termination phase: Saturation
% 41.90/10.33 % (2535541)Time elapsed: 0.097 s
% 41.90/10.33 % (2535541)Peak memory usage: 91 MB
% 41.90/10.33 % (2535541)Instructions burned: 151 (million)
% 41.90/10.33 % (2535543)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=366594664:i=14155:bd=all_2975 on theBenchmark for (2975ds/14155Mi)
% 41.90/10.33 % (2535544)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3926851883:i=667:av=off:fsr=off_2974 on theBenchmark for (2974ds/667Mi)
% 41.90/10.33 % (2535544)Refutation not found, incomplete strategy
% 41.90/10.33 % (2535544)------------------------------
% 41.90/10.33 % (2535544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.90/10.33 % (2535544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.90/10.33 % (2535544)CaDiCaL version: 2.1.3
% 41.90/10.33 % (2535544)Termination reason: Refutation not found, incomplete strategy
% 41.90/10.33 % (2535544)Time elapsed: 0.002 s
% 41.90/10.33 % (2535544)Peak memory usage: 88 MB
% 41.90/10.33 % (2535544)Instructions burned: 1 (million)
% 41.90/10.33 % (2535544)------------------------------
% 41.90/10.33 % (2535544)------------------------------
% 41.90/10.33 % (2535547)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=4293668789:s2a=on:i=185:s2at=1.8:fdi=4_2970 on theBenchmark for (2970ds/185Mi)
% 41.90/10.33 % (2535547)Instruction limit reached!
% 41.90/10.33 % (2535547)------------------------------
% 41.90/10.33 % (2535547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.90/10.33 % (2535547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.90/10.33 % (2535547)CaDiCaL version: 2.1.3
% 41.90/10.33 % (2535547)Termination reason: Instruction limit
% 41.90/10.33 % (2535547)Termination phase: Saturation
% 41.90/10.33 % (2535547)Time elapsed: 0.109 s
% 41.90/10.33 % (2535547)Peak memory usage: 90 MB
% 41.90/10.33 % (2535547)Instructions burned: 186 (million)
% 41.90/10.33 % (2535549)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2997865219:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2968 on theBenchmark for (2968ds/193Mi)
% 41.90/10.33 % (2535549)Instruction limit reached!
% 41.90/10.33 % (2535549)------------------------------
% 41.90/10.33 % (2535549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.90/10.33 % (2535549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.90/10.33 % (2535549)CaDiCaL version: 2.1.3
% 41.90/10.33 % (2535549)Termination reason: Instruction limit
% 41.90/10.33 % (2535549)Termination phase: Saturation
% 41.90/10.33 % (2535549)Time elapsed: 0.109 s
% 41.90/10.33 % (2535549)Peak memory usage: 91 MB
% 41.90/10.33 % (2535549)Instructions burned: 194 (million)
% 41.90/10.33 % (2535551)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2960095173:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2966 on theBenchmark for (2966ds/4850Mi)
% 41.90/10.33 % (2535551)Refutation not found, incomplete strategy
% 41.90/10.33 % (2535551)------------------------------
% 41.90/10.33 % (2535551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.90/10.33 % (2535551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.90/10.33 % (2535551)CaDiCaL version: 2.1.3
% 41.90/10.33 % (2535551)Termination reason: Refutation not found, incomplete strategy
% 41.90/10.33 % (2535551)Time elapsed: 0.001 s
% 41.90/10.33 % (2535551)Peak memory usage: 88 MB
% 41.90/10.33 % (2535551)------------------------------
% 41.90/10.33 % (2535551)------------------------------
% 41.90/10.33 % (2535553)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=4092758576:i=12111:sd=1:ss=included_2962 on theBenchmark for (2962ds/12111Mi)
% 41.90/10.33 % (2535521)Instruction limit reached!
% 41.90/10.33 % (2535521)------------------------------
% 41.90/10.33 % (2535521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.90/10.33 % (2535521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.90/10.33 % (2535521)CaDiCaL version: 2.1.3
% 41.90/10.33 % (2535521)Termination reason: Instruction limit
% 41.90/10.33 % (2535521)Termination phase: Saturation
% 41.90/10.33 % (2535521)Time elapsed: 3.137 s
% 41.90/10.33 % (2535521)Peak memory usage: 169 MB
% 41.90/10.33 % (2535521)Instructions burned: 5203 (million)
% 41.90/10.33 % (2535555)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2747639697:i=319:kws=precedence:fsr=off_2956 on theBenchmark for (2956ds/319Mi)
% 41.90/10.33 % (2535555)Instruction limit reached!
% 41.90/10.33 % (2535555)------------------------------
% 41.90/10.33 % (2535555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.90/10.33 % (2535555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.90/10.33 % (2535555)CaDiCaL version: 2.1.3
% 41.90/10.33 % (2535555)Termination reason: Instruction limit
% 41.90/10.33 % (2535555)Termination phase: Saturation
% 41.90/10.33 % (2535555)Time elapsed: 0.191 s
% 41.90/10.33 % (2535555)Peak memory usage: 93 MB
% 41.90/10.33 % (2535555)Instructions burned: 320 (million)
% 41.90/10.33 % (2535557)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3060857939:i=2064:ep=RST_2952 on theBenchmark for (2952ds/2064Mi)
% 41.90/10.33 % (2535538)Instruction limit reached!
% 41.90/10.33 % (2535538)------------------------------
% 41.90/10.33 % (2535538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.90/10.33 % (2535538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.90/10.33 % (2535538)CaDiCaL version: 2.1.3
% 41.90/10.33 % (2535538)Termination reason: Instruction limit
% 41.90/10.33 % (2535538)Termination phase: Saturation
% 41.90/10.33 % (2535538)Time elapsed: 3.526 s
% 41.90/10.33 % (2535538)Peak memory usage: 189 MB
% 41.90/10.33 % (2535538)Instructions burned: 6061 (million)
% 41.90/10.33 % (2535559)dis-1011_128_sil=32000:random_seed=2597615329:i=3706:ep=RST:av=off_2942 on theBenchmark for (2942ds/3706Mi)
% 41.90/10.33 % (2535557)Instruction limit reached!
% 41.90/10.33 % (2535557)------------------------------
% 41.90/10.33 % (2535557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.90/10.33 % (2535557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.90/10.33 % (2535557)CaDiCaL version: 2.1.3
% 41.90/10.33 % (2535557)Termination reason: Instruction limit
% 41.90/10.33 % (2535557)Termination phase: Saturation
% 41.90/10.33 % (2535557)Time elapsed: 1.153 s
% 41.90/10.33 % (2535557)Peak memory usage: 112 MB
% 41.90/10.33 % (2535557)Instructions burned: 2065 (million)
% 41.90/10.33 % (2535561)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=4277676001:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2939 on theBenchmark for (2939ds/757Mi)
% 41.90/10.33 % (2535561)Refutation not found, incomplete strategy
% 41.90/10.33 % (2535561)------------------------------
% 41.90/10.33 % (2535561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.90/10.33 % (2535561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.90/10.33 % (2535561)CaDiCaL version: 2.1.3
% 41.90/10.33 % (2535561)Termination reason: Refutation not found, incomplete strategy
% 41.90/10.33 % (2535561)Time elapsed: 0.002 s
% 41.90/10.33 % (2535561)Peak memory usage: 88 MB
% 41.90/10.33 % (2535561)Instructions burned: 1 (million)
% 41.90/10.33 % (2535561)------------------------------
% 41.90/10.33 % (2535561)------------------------------
% 41.90/10.33 % (2535563)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1496714221:i=13913:ss=axioms:sgt=8_2936 on theBenchmark for (2936ds/13913Mi)
% 41.90/10.33 % (2535559)Instruction limit reached!
% 41.90/10.33 % (2535559)------------------------------
% 41.90/10.33 % (2535559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.90/10.33 % (2535559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.90/10.33 % (2535559)CaDiCaL version: 2.1.3
% 41.90/10.33 % (2535559)Termination reason: Instruction limit
% 41.90/10.33 % (2535559)Termination phase: Saturation
% 41.90/10.33 % (2535559)Time elapsed: 2.142 s
% 41.90/10.33 % (2535559)Peak memory usage: 113 MB
% 41.90/10.33 % (2535559)Instructions burned: 3706 (million)
% 41.90/10.33 % (2535565)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1361060152:i=9925:aac=none_2919 on theBenchmark for (2919ds/9925Mi)
% 41.90/10.33 % (2535565)Refutation not found, incomplete strategy
% 41.90/10.33 % (2535565)------------------------------
% 41.90/10.33 % (2535565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.90/10.33 % (2535565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.90/10.33 % (2535565)CaDiCaL version: 2.1.3
% 41.90/10.33 % (2535565)Termination reason: Refutation not found, incomplete strategy
% 41.90/10.33 % (2535565)Time elapsed: 0.568 s
% 41.90/10.33 % (2535565)Peak memory usage: 128 MB
% 41.90/10.33 % (2535565)Instructions burned: 859 (million)
% 41.90/10.33 % (2535565)------------------------------
% 41.90/10.33 % (2535565)------------------------------
% 41.90/10.33 % (2535567)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=834060999:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2909 on theBenchmark for (2909ds/2479Mi)
% 41.90/10.33 % (2535567)Refutation not found, incomplete strategy
% 41.90/10.33 % (2535567)------------------------------
% 41.90/10.33 % (2535567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.90/10.33 % (2535567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.90/10.33 % (2535567)CaDiCaL version: 2.1.3
% 41.90/10.33 % (2535567)Termination reason: Refutation not found, incomplete strategy
% 41.90/10.33 % (2535567)Time elapsed: 0.002 s
% 41.90/10.33 % (2535567)Peak memory usage: 88 MB
% 41.90/10.33 % (2535567)Instructions burned: 1 (million)
% 41.90/10.33 % (2535488)First to succeed.
% 41.90/10.33 % (2535488)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2535482"
% 41.90/10.33 % (2535567)------------------------------
% 41.90/10.33 % (2535567)------------------------------
% 41.90/10.33 % (2535488)Refutation found. Thanks to Tanya!
% 41.90/10.33 % SZS status Theorem for theBenchmark
% 41.90/10.33 % SZS output start Proof for theBenchmark
% See solution above
% 67.45/10.42 % (2535488)------------------------------
% 67.45/10.42 % (2535488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.45/10.42 % (2535488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.45/10.42 % (2535488)CaDiCaL version: 2.1.3
% 67.45/10.42 % (2535488)Termination reason: Refutation
% 67.45/10.42 % (2535488)Time elapsed: 8.998 s
% 67.45/10.42 % (2535488)Peak memory usage: 240 MB
% 67.45/10.42 % (2535488)Instructions burned: 14528 (million)
% 67.45/10.42 % (2535488)------------------------------
% 67.45/10.42 % (2535488)------------------------------
% 67.45/10.42 % (2535482)Success in time 9.469 s
% 67.45/10.42 % Vampire exiting
%------------------------------------------------------------------------------