%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE097+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 11:40:19 AM UTC 2026
% Result : Theorem 14.01s 3.00s
% Output : Refutation 15.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 16
% Syntax : Number of formulae : 108 ( 104 unt; 0 def)
% Number of atoms : 112 ( 111 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 166 ( 163 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond) ).
fof(f27,conjecture,
! [X0,X1,X2] :
( addition(multiplication(X0,domain(X1)),multiplication(domain(X2),X0)) = multiplication(domain(X2),X0)
=> addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0,X1,X2] :
( addition(multiplication(X0,domain(X1)),multiplication(domain(X2),X0)) = multiplication(domain(X2),X0)
=> addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0,X1,X2] :
( domain(X2) != addition(forward_diamond(X0,domain(X1)),domain(X2))
& addition(multiplication(X0,domain(X1)),multiplication(domain(X2),X0)) = multiplication(domain(X2),X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
( domain(sK2) != addition(forward_diamond(sK0,domain(sK1)),domain(sK2))
& multiplication(domain(sK2),sK0) = addition(multiplication(sK0,domain(sK1)),multiplication(domain(sK2),sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f29]) ).
fof(f31,plain,
multiplication(domain(sK2),sK0) = addition(multiplication(sK0,domain(sK1)),multiplication(domain(sK2),sK0)),
inference(cnf_transformation,[],[f30]) ).
fof(f32,plain,
domain(sK2) != addition(forward_diamond(sK0,domain(sK1)),domain(sK2)),
inference(cnf_transformation,[],[f30]) ).
fof(f33,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f36,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f37,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f39,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f42,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f44,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f45,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(f46,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f49,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f50,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f52,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f54,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f62,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f39,f42,f42]) ).
fof(f64,plain,
antidomain(antidomain(sK2)) != addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(sK2))),
inference(definition_unfolding,[],[f32,f42,f62,f42,f42]) ).
fof(f65,plain,
multiplication(antidomain(antidomain(sK2)),sK0) = addition(multiplication(sK0,antidomain(antidomain(sK1))),multiplication(antidomain(antidomain(sK2)),sK0)),
inference(definition_unfolding,[],[f31,f42,f42,f42]) ).
fof(f66,plain,
antidomain(antidomain(sK2)) != addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),
inference(forward_demodulation,[],[f64,f37]) ).
fof(f67,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f33,f49]) ).
fof(f74,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f33,f46]) ).
fof(f76,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f74,f54]) ).
fof(f80,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f37,f44]) ).
fof(f85,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f76,f44]) ).
fof(f90,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f85,f49]) ).
fof(f96,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f34,f46]) ).
fof(f109,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f96,f54]) ).
fof(f114,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,X1)) = multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f109,f34]) ).
fof(f117,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(X0)),one),
inference(superposition,[],[f109,f44]) ).
fof(f125,plain,
! [X0] : antidomain(antidomain(X0)) = multiplication(antidomain(antidomain(X0)),antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f117,f50]) ).
fof(f175,plain,
zero = antidomain(one),
inference(superposition,[],[f46,f50]) ).
fof(f198,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f44,f175]) ).
fof(f200,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f198,f54]) ).
fof(f207,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f36,f35]) ).
fof(f211,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f36,f34]) ).
fof(f254,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,[],[f211,f33]) ).
fof(f338,plain,
! [X0] : multiplication(antidomain(multiplication(X0,multiplication(antidomain(antidomain(sK2)),sK0))),multiplication(X0,multiplication(sK0,antidomain(antidomain(sK1))))) = multiplication(antidomain(multiplication(X0,multiplication(antidomain(antidomain(sK2)),sK0))),multiplication(X0,multiplication(antidomain(antidomain(sK2)),sK0))),
inference(superposition,[],[f114,f65]) ).
fof(f343,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,[],[f114,f44]) ).
fof(f361,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(X1))),X0),
inference(forward_demodulation,[],[f343,f50]) ).
fof(f363,plain,
! [X0] : zero = multiplication(antidomain(multiplication(X0,multiplication(antidomain(antidomain(sK2)),sK0))),multiplication(X0,multiplication(sK0,antidomain(antidomain(sK1))))),
inference(forward_demodulation,[],[f338,f46]) ).
fof(f408,plain,
! [X0,X1] : multiplication(zero,X1) = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(superposition,[],[f38,f46]) ).
fof(f444,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(forward_demodulation,[],[f408,f52]) ).
fof(f874,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,[],[f254,f44]) ).
fof(f919,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,[],[f874,f49]) ).
fof(f979,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,[],[f919,f37]) ).
fof(f1317,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f109,f80]) ).
fof(f1320,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f207,f80]) ).
fof(f1327,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f1320,f37]) ).
fof(f1330,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f1317,f50]) ).
fof(f1337,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f1330,f90]) ).
fof(f1343,plain,
antidomain(antidomain(sK2)) != addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))),
inference(superposition,[],[f66,f1337]) ).
fof(f1390,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,[],[f45,f38]) ).
fof(f1392,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,[],[f76,f45]) ).
fof(f1405,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f1392,f46]) ).
fof(f1406,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,[],[f1390,f38]) ).
fof(f2031,plain,
! [X0,X1] : zero = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(superposition,[],[f1405,f444]) ).
fof(f2034,plain,
! [X0,X1] : zero = multiplication(one,multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(forward_demodulation,[],[f2031,f200]) ).
fof(f2058,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f2034,f49]) ).
fof(f2497,plain,
! [X0,X1] : multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1)))))) = multiplication(antidomain(zero),antidomain(X0)),
inference(superposition,[],[f361,f2058]) ).
fof(f2531,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(one,multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1)))))),
inference(forward_demodulation,[],[f2497,f200]) ).
fof(f2564,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1))))),
inference(forward_demodulation,[],[f2531,f49]) ).
fof(f2583,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f2564,f1337]) ).
fof(f2587,plain,
! [X0,X1] : antidomain(X0) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f2583,f49]) ).
fof(f2634,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(multiplication(X0,X1)),antidomain(X0)),
inference(superposition,[],[f67,f2587]) ).
fof(f2652,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f2634,f37]) ).
fof(f2678,plain,
! [X0,X1] : addition(antidomain(X0),antidomain(multiplication(X0,X1))) = multiplication(one,antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f2652,f1327]) ).
fof(f2684,plain,
! [X0,X1] : antidomain(multiplication(X0,X1)) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f2678,f49]) ).
fof(f2696,plain,
! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,X2))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,multiplication(X1,X2)))),
inference(superposition,[],[f2684,f38]) ).
fof(f2964,plain,
! [X0,X1] : antidomain(multiplication(X1,antidomain(antidomain(X0)))) = addition(antidomain(multiplication(X1,multiplication(antidomain(antidomain(X0)),X0))),antidomain(multiplication(X1,antidomain(antidomain(X0))))),
inference(superposition,[],[f1406,f125]) ).
fof(f3002,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,[],[f2964,f37]) ).
fof(f3009,plain,
! [X0,X1] : antidomain(multiplication(X1,antidomain(antidomain(X0)))) = antidomain(multiplication(X1,multiplication(antidomain(antidomain(X0)),X0))),
inference(forward_demodulation,[],[f3002,f2696]) ).
fof(f3012,plain,
! [X0,X1] : antidomain(multiplication(X1,X0)) = antidomain(multiplication(X1,antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f3009,f90]) ).
fof(f3033,plain,
antidomain(antidomain(sK2)) != addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,sK1)))),
inference(superposition,[],[f1343,f3012]) ).
fof(f3963,plain,
! [X0,X1] : addition(multiplication(antidomain(antidomain(X0)),one),antidomain(X1)) = addition(multiplication(antidomain(X0),antidomain(X1)),multiplication(antidomain(antidomain(X0)),one)),
inference(superposition,[],[f979,f1327]) ).
fof(f4021,plain,
! [X0,X1] : addition(multiplication(antidomain(X0),antidomain(X1)),antidomain(antidomain(X0))) = addition(antidomain(antidomain(X0)),antidomain(X1)),
inference(forward_demodulation,[],[f3963,f50]) ).
fof(f4081,plain,
! [X0,X1] : addition(antidomain(antidomain(X0)),multiplication(antidomain(X0),antidomain(X1))) = addition(antidomain(antidomain(X0)),antidomain(X1)),
inference(forward_demodulation,[],[f4021,f37]) ).
fof(f15927,plain,
zero = multiplication(antidomain(zero),multiplication(antidomain(antidomain(antidomain(sK2))),multiplication(sK0,antidomain(antidomain(sK1))))),
inference(superposition,[],[f363,f444]) ).
fof(f16040,plain,
zero = multiplication(antidomain(zero),multiplication(antidomain(sK2),multiplication(sK0,antidomain(antidomain(sK1))))),
inference(forward_demodulation,[],[f15927,f1337]) ).
fof(f16072,plain,
zero = multiplication(one,multiplication(antidomain(sK2),multiplication(sK0,antidomain(antidomain(sK1))))),
inference(forward_demodulation,[],[f16040,f200]) ).
fof(f16086,plain,
zero = multiplication(antidomain(sK2),multiplication(sK0,antidomain(antidomain(sK1)))),
inference(forward_demodulation,[],[f16072,f49]) ).
fof(f16123,plain,
zero = multiplication(antidomain(zero),multiplication(antidomain(sK2),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))),
inference(superposition,[],[f1405,f16086]) ).
fof(f16143,plain,
zero = multiplication(antidomain(zero),multiplication(antidomain(sK2),antidomain(antidomain(multiplication(sK0,sK1))))),
inference(forward_demodulation,[],[f16123,f3012]) ).
fof(f16179,plain,
zero = multiplication(one,multiplication(antidomain(sK2),antidomain(antidomain(multiplication(sK0,sK1))))),
inference(forward_demodulation,[],[f16143,f200]) ).
fof(f16202,plain,
zero = multiplication(antidomain(sK2),antidomain(antidomain(multiplication(sK0,sK1)))),
inference(forward_demodulation,[],[f16179,f49]) ).
fof(f16506,plain,
addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,sK1)))) = addition(antidomain(antidomain(sK2)),zero),
inference(superposition,[],[f4081,f16202]) ).
fof(f16602,plain,
antidomain(antidomain(sK2)) = addition(antidomain(antidomain(sK2)),antidomain(antidomain(multiplication(sK0,sK1)))),
inference(forward_demodulation,[],[f16506,f54]) ).
fof(f16637,plain,
$false,
inference(forward_subsumption_resolution,[],[f16602,f3033]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE097+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 % Computer : n018.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 13:12:11 UTC 2026
% 0.09/0.40 % CPUTime :
% 0.09/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.43 Running first-order theorem proving
% 0.09/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.00/2.46 % (2339256)Detected formulas, will run a generic FOF schedule.
% 11.00/2.46 % (2339267)dis-21_1_sil=8000:lcm=predicate:random_seed=549040359: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)
% 11.00/2.46 % (2339267)Refutation not found, incomplete strategy
% 11.00/2.46 % (2339267)------------------------------
% 11.00/2.46 % (2339267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/2.46 % (2339267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/2.46 % (2339267)CaDiCaL version: 2.1.3
% 11.00/2.46 % (2339267)Termination reason: Refutation not found, incomplete strategy
% 11.00/2.46 % (2339267)Time elapsed: 0.001 s
% 11.00/2.46 % (2339267)Peak memory usage: 88 MB
% 11.00/2.46 % (2339267)Instructions burned: 1 (million)
% 11.00/2.46 % (2339263)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=103546809:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.00/2.46 % (2339261)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=770026651:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.00/2.46 % (2339262)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=3674721988:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.00/2.46 % (2339266)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3986185374:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.00/2.46 % (2339264)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=143976759:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.00/2.46 % (2339265)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4242016062:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.00/2.46 % (2339264)Instruction limit reached!
% 11.00/2.46 % (2339264)------------------------------
% 11.00/2.46 % (2339264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/2.46 % (2339264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/2.46 % (2339264)CaDiCaL version: 2.1.3
% 11.00/2.46 % (2339264)Termination reason: Instruction limit
% 11.00/2.46 % (2339264)Termination phase: Saturation
% 11.00/2.46 % (2339264)Time elapsed: 0.062 s
% 11.00/2.46 % (2339264)Peak memory usage: 88 MB
% 11.00/2.46 % (2339264)Instructions burned: 110 (million)
% 11.00/2.46 % (2339265)Instruction limit reached!
% 11.00/2.46 % (2339265)------------------------------
% 11.00/2.46 % (2339265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/2.46 % (2339265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/2.46 % (2339265)CaDiCaL version: 2.1.3
% 11.00/2.46 % (2339265)Termination reason: Instruction limit
% 11.00/2.46 % (2339265)Termination phase: Saturation
% 11.00/2.46 % (2339265)Time elapsed: 0.064 s
% 11.00/2.46 % (2339265)Peak memory usage: 88 MB
% 11.00/2.46 % (2339265)Instructions burned: 120 (million)
% 11.00/2.46 % (2339266)Instruction limit reached!
% 11.00/2.46 % (2339266)------------------------------
% 11.00/2.46 % (2339266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/2.46 % (2339266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/2.46 % (2339266)CaDiCaL version: 2.1.3
% 11.00/2.46 % (2339266)Termination reason: Instruction limit
% 11.00/2.46 % (2339266)Termination phase: Saturation
% 11.00/2.46 % (2339266)Time elapsed: 0.081 s
% 11.00/2.46 % (2339266)Peak memory usage: 89 MB
% 11.00/2.46 % (2339266)Instructions burned: 140 (million)
% 11.00/2.46 % (2339267)------------------------------
% 11.00/2.46 % (2339267)------------------------------
% 11.00/2.46 % (2339278)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=1327091113:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.00/2.46 % (2339275)lrs+10_1_sil=8000:sp=occurrence:random_seed=114879204:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.00/2.46 % (2339276)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2324406875:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.00/2.46 % (2339277)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3110417225:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 14.01/3.00 % (2339278)Instruction limit reached!
% 14.01/3.00 % (2339278)------------------------------
% 14.01/3.00 % (2339278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.00 % (2339278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.00 % (2339278)CaDiCaL version: 2.1.3
% 14.01/3.00 % (2339278)Termination reason: Instruction limit
% 14.01/3.00 % (2339278)Termination phase: Saturation
% 14.01/3.00 % (2339278)Time elapsed: 0.081 s
% 14.01/3.00 % (2339278)Peak memory usage: 91 MB
% 14.01/3.00 % (2339278)Instructions burned: 251 (million)
% 14.01/3.00 % (2339276)Instruction limit reached!
% 14.01/3.00 % (2339276)------------------------------
% 14.01/3.00 % (2339276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.00 % (2339276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.00 % (2339276)CaDiCaL version: 2.1.3
% 14.01/3.00 % (2339276)Termination reason: Instruction limit
% 14.01/3.00 % (2339276)Termination phase: Saturation
% 14.01/3.00 % (2339276)Time elapsed: 0.092 s
% 14.01/3.00 % (2339276)Peak memory usage: 89 MB
% 14.01/3.00 % (2339276)Instructions burned: 158 (million)
% 14.01/3.00 % (2339283)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3710382071:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 14.01/3.00 % (2339275)Instruction limit reached!
% 14.01/3.00 % (2339275)------------------------------
% 14.01/3.00 % (2339275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.00 % (2339275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.00 % (2339275)CaDiCaL version: 2.1.3
% 14.01/3.00 % (2339275)Termination reason: Instruction limit
% 14.01/3.00 % (2339275)Termination phase: Saturation
% 14.01/3.00 % (2339275)Time elapsed: 0.172 s
% 14.01/3.00 % (2339275)Peak memory usage: 91 MB
% 14.01/3.00 % (2339275)Instructions burned: 286 (million)
% 14.01/3.00 % (2339277)Instruction limit reached!
% 14.01/3.00 % (2339277)------------------------------
% 14.01/3.00 % (2339277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.00 % (2339277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.00 % (2339277)CaDiCaL version: 2.1.3
% 14.01/3.00 % (2339277)Termination reason: Instruction limit
% 14.01/3.00 % (2339277)Termination phase: Saturation
% 14.01/3.00 % (2339277)Time elapsed: 0.196 s
% 14.01/3.00 % (2339277)Peak memory usage: 92 MB
% 14.01/3.00 % (2339277)Instructions burned: 326 (million)
% 14.01/3.00 % (2339284)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3988355174:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 14.01/3.00 % (2339283)Instruction limit reached!
% 14.01/3.00 % (2339283)------------------------------
% 14.01/3.00 % (2339283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.00 % (2339283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.00 % (2339283)CaDiCaL version: 2.1.3
% 14.01/3.00 % (2339283)Termination reason: Instruction limit
% 14.01/3.00 % (2339283)Termination phase: Saturation
% 14.01/3.00 % (2339283)Time elapsed: 0.090 s
% 14.01/3.00 % (2339283)Peak memory usage: 90 MB
% 14.01/3.00 % (2339283)Instructions burned: 296 (million)
% 14.01/3.00 % (2339286)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2417501863:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 14.01/3.00 % (2339289)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1559726166:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 14.01/3.00 % (2339287)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=581809514:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 14.01/3.00 % (2339287)Refutation not found, incomplete strategy
% 14.01/3.00 % (2339287)------------------------------
% 14.01/3.00 % (2339287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.00 % (2339287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.00 % (2339287)CaDiCaL version: 2.1.3
% 14.01/3.00 % (2339287)Termination reason: Refutation not found, incomplete strategy
% 14.01/3.00 % (2339287)Time elapsed: 0.001 s
% 14.01/3.00 % (2339287)Peak memory usage: 88 MB
% 14.01/3.00 % (2339287)Instructions burned: 1 (million)
% 14.01/3.00 % (2339289)Instruction limit reached!
% 14.01/3.00 % (2339289)------------------------------
% 14.01/3.00 % (2339289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.00 % (2339289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.00 % (2339289)CaDiCaL version: 2.1.3
% 14.01/3.00 % (2339289)Termination reason: Instruction limit
% 14.01/3.00 % (2339289)Termination phase: Saturation
% 14.01/3.00 % (2339289)Time elapsed: 0.035 s
% 14.01/3.00 % (2339289)Peak memory usage: 89 MB
% 14.01/3.00 % (2339289)Instructions burned: 116 (million)
% 14.01/3.00 % (2339286)Instruction limit reached!
% 14.01/3.00 % (2339286)------------------------------
% 14.01/3.00 % (2339286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.00 % (2339286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.00 % (2339286)CaDiCaL version: 2.1.3
% 14.01/3.00 % (2339286)Termination reason: Instruction limit
% 14.01/3.00 % (2339286)Termination phase: Saturation
% 14.01/3.00 % (2339286)Time elapsed: 0.067 s
% 14.01/3.00 % (2339286)Peak memory usage: 89 MB
% 14.01/3.00 % (2339286)Instructions burned: 113 (million)
% 14.01/3.00 % (2339293)lrs+10_1_sil=8000:sp=occurrence:random_seed=4155505532:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 14.01/3.00 % (2339294)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=507086442:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 14.01/3.00 % (2339287)------------------------------
% 14.01/3.00 % (2339287)------------------------------
% 14.01/3.00 % (2339297)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3661165828:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 14.01/3.00 % (2339293)Instruction limit reached!
% 14.01/3.00 % (2339293)------------------------------
% 14.01/3.00 % (2339293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.00 % (2339293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.00 % (2339293)CaDiCaL version: 2.1.3
% 14.01/3.00 % (2339293)Termination reason: Instruction limit
% 14.01/3.00 % (2339293)Termination phase: Saturation
% 14.01/3.00 % (2339293)Time elapsed: 0.294 s
% 14.01/3.00 % (2339293)Peak memory usage: 98 MB
% 14.01/3.00 % (2339293)Instructions burned: 909 (million)
% 14.01/3.00 % (2339294)Instruction limit reached!
% 14.01/3.00 % (2339294)------------------------------
% 14.01/3.00 % (2339294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.00 % (2339294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.00 % (2339294)CaDiCaL version: 2.1.3
% 14.01/3.00 % (2339294)Termination reason: Instruction limit
% 14.01/3.00 % (2339294)Termination phase: Saturation
% 14.01/3.00 % (2339294)Time elapsed: 0.247 s
% 14.01/3.00 % (2339294)Peak memory usage: 93 MB
% 14.01/3.00 % (2339294)Instructions burned: 438 (million)
% 14.01/3.00 % (2339299)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=401778253:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 14.01/3.00 % (2339299)Refutation not found, incomplete strategy
% 14.01/3.00 % (2339299)------------------------------
% 14.01/3.00 % (2339299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.00 % (2339299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.00 % (2339299)CaDiCaL version: 2.1.3
% 14.01/3.00 % (2339299)Termination reason: Refutation not found, incomplete strategy
% 14.01/3.00 % (2339299)Time elapsed: 0.001 s
% 14.01/3.00 % (2339299)Peak memory usage: 88 MB
% 14.01/3.00 % (2339299)Instructions burned: 1 (million)
% 14.01/3.00 % (2339300)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=102177493:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 14.01/3.00 % (2339299)------------------------------
% 14.01/3.00 % (2339299)------------------------------
% 14.01/3.00 % (2339303)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1490929049:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 14.01/3.00 % (2339300)Instruction limit reached!
% 14.01/3.00 % (2339300)------------------------------
% 14.01/3.00 % (2339300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.00 % (2339300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.00 % (2339300)CaDiCaL version: 2.1.3
% 14.01/3.00 % (2339300)Termination reason: Instruction limit
% 14.01/3.00 % (2339300)Termination phase: Saturation
% 14.01/3.00 % (2339300)Time elapsed: 0.361 s
% 14.01/3.00 % (2339300)Peak memory usage: 96 MB
% 14.01/3.00 % (2339300)Instructions burned: 592 (million)
% 14.01/3.00 % (2339305)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=3471700003:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 14.01/3.00 % (2339305)Instruction limit reached!
% 14.01/3.00 % (2339305)------------------------------
% 14.01/3.00 % (2339305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.00 % (2339305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.00 % (2339305)CaDiCaL version: 2.1.3
% 14.01/3.00 % (2339305)Termination reason: Instruction limit
% 14.01/3.00 % (2339305)Termination phase: Saturation
% 14.01/3.00 % (2339305)Time elapsed: 0.080 s
% 14.01/3.00 % (2339305)Peak memory usage: 90 MB
% 14.01/3.00 % (2339305)Instructions burned: 127 (million)
% 14.01/3.00 % (2339262)First to succeed.
% 14.01/3.00 % (2339262)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2339256"
% 14.01/3.00 % (2339307)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3197029311:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 14.01/3.00 % (2339303)Also succeeded, but the first one will report.
% 14.01/3.00 % (2339307)Instruction limit reached!
% 14.01/3.00 % (2339307)------------------------------
% 14.01/3.00 % (2339307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.00 % (2339307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.00 % (2339307)CaDiCaL version: 2.1.3
% 14.01/3.00 % (2339307)Termination reason: Instruction limit
% 14.01/3.00 % (2339307)Termination phase: Saturation
% 14.01/3.00 % (2339307)Time elapsed: 0.074 s
% 14.01/3.00 % (2339307)Peak memory usage: 89 MB
% 14.01/3.00 % (2339307)Instructions burned: 135 (million)
% 14.01/3.00 % (2339284)Instruction limit reached!
% 14.01/3.00 % (2339284)------------------------------
% 14.01/3.00 % (2339284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.01/3.00 % (2339284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.01/3.00 % (2339284)CaDiCaL version: 2.1.3
% 14.01/3.00 % (2339284)Termination reason: Instruction limit
% 14.01/3.00 % (2339284)Termination phase: Saturation
% 14.01/3.00 % (2339284)Time elapsed: 1.452 s
% 14.01/3.00 % (2339284)Peak memory usage: 143 MB
% 14.01/3.00 % (2339284)Instructions burned: 2350 (million)
% 14.01/3.00 % (2339261)Also succeeded, but the first one will report.
% 14.01/3.00 % (2339262)Refutation found. Thanks to Tanya!
% 14.01/3.00 % SZS status Theorem for theBenchmark
% 14.01/3.00 % SZS output start Proof for theBenchmark
% See solution above
% 15.61/3.20 % (2339262)------------------------------
% 15.61/3.20 % (2339262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.61/3.20 % (2339262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.61/3.20 % (2339262)CaDiCaL version: 2.1.3
% 15.61/3.20 % (2339262)Termination reason: Refutation
% 15.61/3.20 % (2339262)Time elapsed: 1.697 s
% 15.61/3.20 % (2339262)Peak memory usage: 146 MB
% 15.61/3.20 % (2339262)Instructions burned: 2703 (million)
% 15.61/3.20 % (2339262)------------------------------
% 15.61/3.20 % (2339262)------------------------------
% 15.61/3.20 % (2339256)Success in time 2.132 s
% 15.61/3.20 % Vampire exiting
%------------------------------------------------------------------------------