%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE107+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 : n009.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 11:40:21 AM UTC 2026
% Result : Theorem 8.36s 2.91s
% Output : Refutation 13.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 23
% Syntax : Number of formulae : 177 ( 173 unt; 0 def)
% Number of atoms : 181 ( 180 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 10 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 243 ( 240 !; 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(f17,axiom,
! [X0] : multiplication(X0,coantidomain(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain1) ).
fof(f18,axiom,
! [X0,X1] : addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) = coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain2) ).
fof(f19,axiom,
! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain3) ).
fof(f20,axiom,
! [X0] : codomain(X0) = coantidomain(coantidomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain4) ).
fof(f21,axiom,
! [X0] : c(X0) = antidomain(domain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f24,axiom,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',backward_diamond) ).
fof(f25,axiom,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_box) ).
fof(f27,conjecture,
! [X0,X1,X2] :
( addition(backward_diamond(X0,domain(X1)),domain(X2)) = domain(X2)
=> addition(domain(X1),forward_box(X0,domain(X2))) = forward_box(X0,domain(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0,X1,X2] :
( addition(backward_diamond(X0,domain(X1)),domain(X2)) = domain(X2)
=> addition(domain(X1),forward_box(X0,domain(X2))) = forward_box(X0,domain(X2)) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0,X1,X2] :
( forward_box(X0,domain(X2)) != addition(domain(X1),forward_box(X0,domain(X2)))
& addition(backward_diamond(X0,domain(X1)),domain(X2)) = domain(X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
( forward_box(sK0,domain(sK2)) != addition(domain(sK1),forward_box(sK0,domain(sK2)))
& domain(sK2) = addition(backward_diamond(sK0,domain(sK1)),domain(sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f29]) ).
fof(f31,plain,
domain(sK2) = addition(backward_diamond(sK0,domain(sK1)),domain(sK2)),
inference(cnf_transformation,[],[f30]) ).
fof(f32,plain,
forward_box(sK0,domain(sK2)) != addition(domain(sK1),forward_box(sK0,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,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f40,plain,
! [X0] : c(X0) = antidomain(domain(X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f41,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f43,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f44,plain,
! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
inference(cnf_transformation,[],[f25]) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f46,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f47,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(f48,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f49,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f20]) ).
fof(f50,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f51,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f52,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f53,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f54,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f56,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f57,plain,
! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(cnf_transformation,[],[f18]) ).
fof(f58,plain,
! [X0] : c(X0) = antidomain(antidomain(antidomain(X0))),
inference(definition_unfolding,[],[f40,f41]) ).
fof(f59,plain,
! [X0,X1] : backward_diamond(X0,X1) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),X0))),
inference(definition_unfolding,[],[f43,f49,f49]) ).
fof(f62,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f38,f41,f41]) ).
fof(f63,plain,
! [X0,X1] : forward_box(X0,X1) = antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(antidomain(X1))))))))))),
inference(definition_unfolding,[],[f44,f58,f62,f58]) ).
fof(f64,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2))))))))))))) != addition(antidomain(antidomain(sK1)),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK2)))))))))))))),
inference(definition_unfolding,[],[f32,f63,f41,f41,f63,f41]) ).
fof(f65,plain,
antidomain(antidomain(sK2)) = addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK1)))),sK0))),antidomain(antidomain(sK2))),
inference(definition_unfolding,[],[f31,f41,f59,f41,f41]) ).
fof(f66,plain,
antidomain(antidomain(sK2)) = addition(antidomain(antidomain(sK2)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK1)))),sK0)))),
inference(forward_demodulation,[],[f65,f37]) ).
fof(f70,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f37,f46]) ).
fof(f74,plain,
! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
inference(superposition,[],[f37,f50]) ).
fof(f75,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f33,f51]) ).
fof(f76,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[],[f33,f48]) ).
fof(f78,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f33,f48]) ).
fof(f83,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f78,f56]) ).
fof(f86,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = addition(multiplication(X0,coantidomain(X1)),zero),
inference(superposition,[],[f33,f53]) ).
fof(f88,plain,
zero = coantidomain(one),
inference(superposition,[],[f51,f53]) ).
fof(f89,plain,
! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X1)) = multiplication(X0,coantidomain(X1)),
inference(forward_demodulation,[],[f86,f56]) ).
fof(f91,plain,
one = addition(coantidomain(zero),zero),
inference(superposition,[],[f50,f88]) ).
fof(f92,plain,
one = coantidomain(zero),
inference(forward_demodulation,[],[f91,f56]) ).
fof(f101,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f83,f46]) ).
fof(f106,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f101,f51]) ).
fof(f132,plain,
zero = antidomain(one),
inference(superposition,[],[f48,f52]) ).
fof(f141,plain,
one = addition(antidomain(zero),zero),
inference(superposition,[],[f46,f132]) ).
fof(f142,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f141,f56]) ).
fof(f148,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f34,f52]) ).
fof(f152,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f34,f48]) ).
fof(f155,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(superposition,[],[f34,f53]) ).
fof(f170,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(X1,coantidomain(X0))),
inference(forward_demodulation,[],[f155,f56]) ).
fof(f173,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f152,f56]) ).
fof(f179,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(superposition,[],[f173,f37]) ).
fof(f180,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X1,X2)),multiplication(X0,X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f173,f33]) ).
fof(f181,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,X1)) = multiplication(antidomain(multiplication(X0,X2)),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f173,f34]) ).
fof(f207,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,[],[f180,f46]) ).
fof(f220,plain,
! [X0,X1] : multiplication(antidomain(multiplication(antidomain(X0),X1)),multiplication(antidomain(antidomain(X0)),X1)) = multiplication(antidomain(multiplication(antidomain(X0),X1)),X1),
inference(forward_demodulation,[],[f207,f51]) ).
fof(f234,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f36,f35]) ).
fof(f237,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(f238,plain,
! [X0] : addition(antidomain(antidomain(sK2)),addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK1)))),sK0))),X0)) = addition(antidomain(antidomain(sK2)),X0),
inference(superposition,[],[f36,f66]) ).
fof(f255,plain,
addition(antidomain(antidomain(sK2)),coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK1)))),sK0))) = addition(antidomain(antidomain(sK2)),one),
inference(superposition,[],[f238,f50]) ).
fof(f263,plain,
addition(antidomain(antidomain(sK2)),coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK1)))),sK0))) = addition(one,antidomain(antidomain(sK2))),
inference(forward_demodulation,[],[f255,f37]) ).
fof(f270,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f37,f56]) ).
fof(f363,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,[],[f181,f46]) ).
fof(f380,plain,
! [X0,X1] : multiplication(antidomain(multiplication(X0,antidomain(X1))),multiplication(X0,antidomain(antidomain(X1)))) = multiplication(antidomain(multiplication(X0,antidomain(X1))),X0),
inference(forward_demodulation,[],[f363,f52]) ).
fof(f410,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,[],[f237,f33]) ).
fof(f729,plain,
! [X0,X1] : multiplication(zero,X1) = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(superposition,[],[f45,f48]) ).
fof(f784,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1)),
inference(forward_demodulation,[],[f729,f54]) ).
fof(f946,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,[],[f410,f46]) ).
fof(f948,plain,
! [X2,X0,X1] : addition(multiplication(X0,coantidomain(coantidomain(X1))),multiplication(addition(X0,X2),coantidomain(X1))) = addition(multiplication(X0,one),multiplication(X2,coantidomain(X1))),
inference(superposition,[],[f410,f50]) ).
fof(f1098,plain,
! [X2,X0,X1] : addition(multiplication(X0,coantidomain(coantidomain(X1))),multiplication(addition(X0,X2),coantidomain(X1))) = addition(X0,multiplication(X2,coantidomain(X1))),
inference(forward_demodulation,[],[f948,f52]) ).
fof(f1099,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,[],[f946,f52]) ).
fof(f1182,plain,
! [X0,X1] : addition(X0,multiplication(X0,coantidomain(X1))) = addition(multiplication(X0,coantidomain(coantidomain(X1))),multiplication(X0,coantidomain(X1))),
inference(superposition,[],[f1098,f35]) ).
fof(f1247,plain,
! [X0,X1] : addition(X0,multiplication(X0,coantidomain(X1))) = addition(multiplication(X0,coantidomain(X1)),multiplication(X0,coantidomain(coantidomain(X1)))),
inference(forward_demodulation,[],[f1182,f37]) ).
fof(f1271,plain,
! [X0,X1] : addition(X0,multiplication(X0,coantidomain(X1))) = multiplication(X0,addition(coantidomain(X1),coantidomain(coantidomain(X1)))),
inference(forward_demodulation,[],[f1247,f34]) ).
fof(f1287,plain,
! [X0,X1] : multiplication(X0,one) = addition(X0,multiplication(X0,coantidomain(X1))),
inference(forward_demodulation,[],[f1271,f74]) ).
fof(f1299,plain,
! [X0,X1] : multiplication(X0,one) = multiplication(X0,addition(one,coantidomain(X1))),
inference(forward_demodulation,[],[f1287,f148]) ).
fof(f1308,plain,
! [X0,X1] : multiplication(X0,addition(one,coantidomain(X1))) = X0,
inference(forward_demodulation,[],[f1299,f52]) ).
fof(f1315,plain,
! [X0,X1] : addition(X0,multiplication(X0,antidomain(X1))) = addition(multiplication(X0,antidomain(antidomain(X1))),multiplication(X0,antidomain(X1))),
inference(superposition,[],[f1099,f35]) ).
fof(f1378,plain,
! [X0,X1] : addition(X0,multiplication(X0,antidomain(X1))) = addition(multiplication(X0,antidomain(X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f1315,f37]) ).
fof(f1402,plain,
! [X0,X1] : addition(X0,multiplication(X0,antidomain(X1))) = multiplication(X0,addition(antidomain(X1),antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f1378,f34]) ).
fof(f1416,plain,
! [X0,X1] : multiplication(X0,one) = addition(X0,multiplication(X0,antidomain(X1))),
inference(forward_demodulation,[],[f1402,f70]) ).
fof(f1426,plain,
! [X0,X1] : multiplication(X0,one) = multiplication(X0,addition(one,antidomain(X1))),
inference(forward_demodulation,[],[f1416,f148]) ).
fof(f1434,plain,
! [X0,X1] : multiplication(X0,addition(one,antidomain(X1))) = X0,
inference(forward_demodulation,[],[f1426,f52]) ).
fof(f1628,plain,
! [X0] : multiplication(antidomain(X0),coantidomain(antidomain(antidomain(X0)))) = multiplication(one,coantidomain(antidomain(antidomain(X0)))),
inference(superposition,[],[f89,f70]) ).
fof(f1629,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f173,f70]) ).
fof(f1632,plain,
! [X0] : one = addition(antidomain(X0),one),
inference(superposition,[],[f234,f70]) ).
fof(f1641,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f1632,f37]) ).
fof(f1644,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f1629,f52]) ).
fof(f1645,plain,
! [X0] : coantidomain(antidomain(antidomain(X0))) = multiplication(antidomain(X0),coantidomain(antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f1628,f51]) ).
fof(f1653,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f1644,f106]) ).
fof(f1665,plain,
antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(sK2))))))))))) != addition(antidomain(antidomain(sK1)),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(sK2)))))))))))),
inference(superposition,[],[f64,f1653]) ).
fof(f1681,plain,
antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(sK2))))))))) != addition(antidomain(antidomain(sK1)),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(sK2)))))))))),
inference(forward_demodulation,[],[f1665,f1653]) ).
fof(f1691,plain,
antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(sK2))))))) != addition(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(sK2)))))))),
inference(forward_demodulation,[],[f1681,f1653]) ).
fof(f1699,plain,
antidomain(multiplication(sK0,antidomain(antidomain(antidomain(sK2))))) != addition(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(sK2)))))),
inference(forward_demodulation,[],[f1691,f1653]) ).
fof(f1707,plain,
antidomain(multiplication(sK0,antidomain(sK2))) != addition(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(sK2)))),
inference(forward_demodulation,[],[f1699,f1653]) ).
fof(f1744,plain,
! [X0] : multiplication(antidomain(X0),addition(one,coantidomain(antidomain(antidomain(X0))))) = addition(antidomain(X0),coantidomain(antidomain(antidomain(X0)))),
inference(superposition,[],[f148,f1645]) ).
fof(f1754,plain,
! [X0] : antidomain(X0) = addition(antidomain(X0),coantidomain(antidomain(antidomain(X0)))),
inference(forward_demodulation,[],[f1744,f1308]) ).
fof(f1868,plain,
! [X0,X1] : multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(X0,X1))) = multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
inference(superposition,[],[f170,f57]) ).
fof(f1884,plain,
! [X0,X1] : zero = multiplication(multiplication(coantidomain(coantidomain(X0)),X1),coantidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f1868,f53]) ).
fof(f1902,plain,
! [X0,X1] : zero = multiplication(coantidomain(coantidomain(X0)),multiplication(X1,coantidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f1884,f45]) ).
fof(f2204,plain,
! [X0] : multiplication(antidomain(X0),X0) = addition(zero,multiplication(coantidomain(antidomain(antidomain(X0))),X0)),
inference(superposition,[],[f76,f1754]) ).
fof(f2216,plain,
! [X0] : multiplication(antidomain(X0),X0) = multiplication(coantidomain(antidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f2204,f270]) ).
fof(f2222,plain,
! [X0] : zero = multiplication(coantidomain(antidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f2216,f48]) ).
fof(f2534,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,[],[f83,f47]) ).
fof(f2551,plain,
! [X0,X1] : zero = multiplication(antidomain(multiplication(X0,X1)),multiplication(X0,antidomain(antidomain(X1)))),
inference(forward_demodulation,[],[f2534,f48]) ).
fof(f2875,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,coantidomain(zero))),
inference(superposition,[],[f1902,f48]) ).
fof(f2961,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),multiplication(X0,one)),
inference(forward_demodulation,[],[f2875,f92]) ).
fof(f2982,plain,
! [X0] : zero = multiplication(coantidomain(coantidomain(antidomain(X0))),X0),
inference(forward_demodulation,[],[f2961,f52]) ).
fof(f3001,plain,
! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(addition(X0,coantidomain(coantidomain(antidomain(X1)))),X1),
inference(superposition,[],[f33,f2982]) ).
fof(f3055,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,coantidomain(coantidomain(antidomain(X1)))),X1),
inference(forward_demodulation,[],[f3001,f56]) ).
fof(f3237,plain,
! [X0,X1] : zero = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(superposition,[],[f2551,f784]) ).
fof(f3238,plain,
! [X0,X1] : zero = multiplication(one,multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1))))),
inference(forward_demodulation,[],[f3237,f142]) ).
fof(f3263,plain,
! [X0,X1] : zero = multiplication(antidomain(X0),antidomain(antidomain(multiplication(X0,X1)))),
inference(forward_demodulation,[],[f3238,f51]) ).
fof(f3319,plain,
! [X0,X1] : multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1)))))) = multiplication(antidomain(zero),antidomain(X0)),
inference(superposition,[],[f380,f3263]) ).
fof(f3357,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(one,multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1)))))),
inference(forward_demodulation,[],[f3319,f142]) ).
fof(f3388,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(antidomain(X0),antidomain(antidomain(antidomain(multiplication(X0,X1))))),
inference(forward_demodulation,[],[f3357,f51]) ).
fof(f3407,plain,
! [X0,X1] : multiplication(one,antidomain(X0)) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f3388,f1653]) ).
fof(f3410,plain,
! [X0,X1] : antidomain(X0) = multiplication(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f3407,f51]) ).
fof(f3460,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(multiplication(X0,X1)),antidomain(X0)),
inference(superposition,[],[f75,f3410]) ).
fof(f3478,plain,
! [X0,X1] : multiplication(addition(one,antidomain(X0)),antidomain(multiplication(X0,X1))) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f3460,f37]) ).
fof(f3503,plain,
! [X0,X1] : addition(antidomain(X0),antidomain(multiplication(X0,X1))) = multiplication(one,antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f3478,f1641]) ).
fof(f3508,plain,
! [X0,X1] : antidomain(multiplication(X0,X1)) = addition(antidomain(X0),antidomain(multiplication(X0,X1))),
inference(forward_demodulation,[],[f3503,f51]) ).
fof(f5414,plain,
! [X0] : multiplication(one,X0) = multiplication(coantidomain(antidomain(X0)),X0),
inference(superposition,[],[f3055,f74]) ).
fof(f5493,plain,
! [X0] : multiplication(coantidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f5414,f51]) ).
fof(f5579,plain,
! [X0] : multiplication(antidomain(multiplication(coantidomain(antidomain(antidomain(antidomain(X0)))),antidomain(X0))),coantidomain(antidomain(antidomain(antidomain(X0))))) = multiplication(antidomain(multiplication(coantidomain(antidomain(antidomain(antidomain(X0)))),antidomain(X0))),antidomain(antidomain(X0))),
inference(superposition,[],[f380,f5493]) ).
fof(f5584,plain,
! [X0] : multiplication(antidomain(zero),antidomain(antidomain(X0))) = multiplication(antidomain(zero),coantidomain(antidomain(antidomain(antidomain(X0))))),
inference(forward_demodulation,[],[f5579,f2222]) ).
fof(f5610,plain,
! [X0] : multiplication(antidomain(zero),antidomain(antidomain(X0))) = multiplication(antidomain(zero),coantidomain(antidomain(X0))),
inference(forward_demodulation,[],[f5584,f1653]) ).
fof(f5621,plain,
! [X0] : multiplication(one,coantidomain(antidomain(X0))) = multiplication(one,antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f5610,f142]) ).
fof(f5625,plain,
! [X0] : antidomain(antidomain(X0)) = multiplication(one,coantidomain(antidomain(X0))),
inference(forward_demodulation,[],[f5621,f51]) ).
fof(f5627,plain,
! [X0] : antidomain(antidomain(X0)) = coantidomain(antidomain(X0)),
inference(forward_demodulation,[],[f5625,f51]) ).
fof(f5866,plain,
multiplication(antidomain(antidomain(antidomain(sK2))),coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK1)))),sK0))) = multiplication(antidomain(antidomain(antidomain(sK2))),addition(one,antidomain(antidomain(sK2)))),
inference(superposition,[],[f179,f263]) ).
fof(f5886,plain,
antidomain(antidomain(antidomain(sK2))) = multiplication(antidomain(antidomain(antidomain(sK2))),coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK1)))),sK0))),
inference(forward_demodulation,[],[f5866,f1434]) ).
fof(f5904,plain,
antidomain(antidomain(antidomain(sK2))) = multiplication(antidomain(antidomain(antidomain(sK2))),coantidomain(multiplication(coantidomain(antidomain(antidomain(antidomain(sK1)))),sK0))),
inference(forward_demodulation,[],[f5886,f5627]) ).
fof(f5922,plain,
antidomain(antidomain(antidomain(sK2))) = multiplication(antidomain(antidomain(antidomain(sK2))),coantidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),sK0))),
inference(forward_demodulation,[],[f5904,f5627]) ).
fof(f5940,plain,
antidomain(antidomain(antidomain(sK2))) = multiplication(antidomain(antidomain(antidomain(sK2))),coantidomain(multiplication(antidomain(antidomain(sK1)),sK0))),
inference(forward_demodulation,[],[f5922,f1653]) ).
fof(f5954,plain,
antidomain(sK2) = multiplication(antidomain(sK2),coantidomain(multiplication(antidomain(antidomain(sK1)),sK0))),
inference(forward_demodulation,[],[f5940,f1653]) ).
fof(f5978,plain,
multiplication(addition(one,antidomain(sK2)),coantidomain(multiplication(antidomain(antidomain(sK1)),sK0))) = addition(coantidomain(multiplication(antidomain(antidomain(sK1)),sK0)),antidomain(sK2)),
inference(superposition,[],[f75,f5954]) ).
fof(f6002,plain,
multiplication(addition(one,antidomain(sK2)),coantidomain(multiplication(antidomain(antidomain(sK1)),sK0))) = addition(antidomain(sK2),coantidomain(multiplication(antidomain(antidomain(sK1)),sK0))),
inference(forward_demodulation,[],[f5978,f37]) ).
fof(f6012,plain,
addition(antidomain(sK2),coantidomain(multiplication(antidomain(antidomain(sK1)),sK0))) = multiplication(one,coantidomain(multiplication(antidomain(antidomain(sK1)),sK0))),
inference(forward_demodulation,[],[f6002,f1641]) ).
fof(f6017,plain,
coantidomain(multiplication(antidomain(antidomain(sK1)),sK0)) = addition(antidomain(sK2),coantidomain(multiplication(antidomain(antidomain(sK1)),sK0))),
inference(forward_demodulation,[],[f6012,f51]) ).
fof(f6130,plain,
multiplication(multiplication(antidomain(antidomain(sK1)),sK0),antidomain(sK2)) = multiplication(multiplication(antidomain(antidomain(sK1)),sK0),coantidomain(multiplication(antidomain(antidomain(sK1)),sK0))),
inference(superposition,[],[f170,f6017]) ).
fof(f6152,plain,
zero = multiplication(multiplication(antidomain(antidomain(sK1)),sK0),antidomain(sK2)),
inference(forward_demodulation,[],[f6130,f53]) ).
fof(f6154,plain,
zero = multiplication(antidomain(antidomain(sK1)),multiplication(sK0,antidomain(sK2))),
inference(forward_demodulation,[],[f6152,f45]) ).
fof(f6158,plain,
multiplication(antidomain(zero),multiplication(antidomain(antidomain(antidomain(sK1))),multiplication(sK0,antidomain(sK2)))) = multiplication(antidomain(zero),multiplication(sK0,antidomain(sK2))),
inference(superposition,[],[f220,f6154]) ).
fof(f6208,plain,
multiplication(one,multiplication(antidomain(antidomain(antidomain(sK1))),multiplication(sK0,antidomain(sK2)))) = multiplication(one,multiplication(sK0,antidomain(sK2))),
inference(forward_demodulation,[],[f6158,f142]) ).
fof(f6226,plain,
multiplication(sK0,antidomain(sK2)) = multiplication(one,multiplication(antidomain(antidomain(antidomain(sK1))),multiplication(sK0,antidomain(sK2)))),
inference(forward_demodulation,[],[f6208,f51]) ).
fof(f6236,plain,
multiplication(sK0,antidomain(sK2)) = multiplication(antidomain(antidomain(antidomain(sK1))),multiplication(sK0,antidomain(sK2))),
inference(forward_demodulation,[],[f6226,f51]) ).
fof(f6240,plain,
multiplication(sK0,antidomain(sK2)) = multiplication(antidomain(sK1),multiplication(sK0,antidomain(sK2))),
inference(forward_demodulation,[],[f6236,f1653]) ).
fof(f6269,plain,
antidomain(multiplication(sK0,antidomain(sK2))) = addition(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(sK2)))),
inference(superposition,[],[f3508,f6240]) ).
fof(f6272,plain,
$false,
inference(forward_subsumption_resolution,[],[f6269,f1707]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE107+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 % Computer : n009.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 27 13:10:15 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.50 Running first-order theorem proving
% 0.19/0.50 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.36/2.91 % (2025126)Detected formulas, will run a generic FOF schedule.
% 8.36/2.91 % (2025139)dis-21_1_sil=8000:lcm=predicate:random_seed=2997070592:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 8.36/2.91 % (2025139)Refutation not found, incomplete strategy
% 8.36/2.91 % (2025139)------------------------------
% 8.36/2.91 % (2025139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.91 % (2025139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.91 % (2025139)CaDiCaL version: 2.1.3
% 8.36/2.91 % (2025139)Termination reason: Refutation not found, incomplete strategy
% 8.36/2.91 % (2025139)Time elapsed: 0.002 s
% 8.36/2.91 % (2025139)Peak memory usage: 88 MB
% 8.36/2.91 % (2025139)Instructions burned: 1 (million)
% 8.36/2.91 % (2025133)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=531115757:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.36/2.91 % (2025134)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=3064279454:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.36/2.91 % (2025138)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2793183421:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.36/2.91 % (2025136)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1673507495:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.36/2.91 % (2025135)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=3000406488:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.36/2.91 % (2025137)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2125822290:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.36/2.91 % (2025136)Instruction limit reached!
% 8.36/2.91 % (2025136)------------------------------
% 8.36/2.91 % (2025136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.91 % (2025136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.91 % (2025136)CaDiCaL version: 2.1.3
% 8.36/2.91 % (2025136)Termination reason: Instruction limit
% 8.36/2.91 % (2025136)Termination phase: Saturation
% 8.36/2.91 % (2025136)Time elapsed: 0.102 s
% 8.36/2.91 % (2025136)Peak memory usage: 89 MB
% 8.36/2.91 % (2025136)Instructions burned: 109 (million)
% 8.36/2.91 % (2025138)Instruction limit reached!
% 8.36/2.91 % (2025138)------------------------------
% 8.36/2.91 % (2025138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.91 % (2025138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.91 % (2025138)CaDiCaL version: 2.1.3
% 8.36/2.91 % (2025138)Termination reason: Instruction limit
% 8.36/2.91 % (2025138)Termination phase: Saturation
% 8.36/2.91 % (2025138)Time elapsed: 0.129 s
% 8.36/2.91 % (2025138)Peak memory usage: 89 MB
% 8.36/2.91 % (2025138)Instructions burned: 139 (million)
% 8.36/2.91 % (2025137)Instruction limit reached!
% 8.36/2.91 % (2025137)------------------------------
% 8.36/2.91 % (2025137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.91 % (2025137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.91 % (2025137)CaDiCaL version: 2.1.3
% 8.36/2.91 % (2025137)Termination reason: Instruction limit
% 8.36/2.91 % (2025137)Termination phase: Saturation
% 8.36/2.91 % (2025137)Time elapsed: 0.111 s
% 8.36/2.91 % (2025137)Peak memory usage: 88 MB
% 8.36/2.91 % (2025137)Instructions burned: 119 (million)
% 8.36/2.91 % (2025139)------------------------------
% 8.36/2.91 % (2025139)------------------------------
% 8.36/2.91 % (2025147)lrs+10_1_sil=8000:sp=occurrence:random_seed=677256775:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 8.36/2.91 % (2025148)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2659901441:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 8.36/2.91 % (2025150)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=1440436561:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.36/2.91 % (2025149)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3597582391:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 8.36/2.91 % (2025148)Instruction limit reached!
% 8.36/2.91 % (2025148)------------------------------
% 8.36/2.91 % (2025148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.91 % (2025148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.91 % (2025148)CaDiCaL version: 2.1.3
% 8.36/2.91 % (2025148)Termination reason: Instruction limit
% 8.36/2.91 % (2025148)Termination phase: Saturation
% 8.36/2.91 % (2025148)Time elapsed: 0.141 s
% 8.36/2.91 % (2025148)Peak memory usage: 89 MB
% 8.36/2.91 % (2025148)Instructions burned: 158 (million)
% 8.36/2.91 % (2025150)Instruction limit reached!
% 8.36/2.91 % (2025150)------------------------------
% 8.36/2.91 % (2025150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.91 % (2025150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.91 % (2025150)CaDiCaL version: 2.1.3
% 8.36/2.91 % (2025150)Termination reason: Instruction limit
% 8.36/2.91 % (2025150)Termination phase: Saturation
% 8.36/2.91 % (2025150)Time elapsed: 0.131 s
% 8.36/2.91 % (2025150)Peak memory usage: 91 MB
% 8.36/2.91 % (2025150)Instructions burned: 250 (million)
% 8.36/2.91 % (2025147)Instruction limit reached!
% 8.36/2.91 % (2025147)------------------------------
% 8.36/2.91 % (2025147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.91 % (2025147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.91 % (2025147)CaDiCaL version: 2.1.3
% 8.36/2.91 % (2025147)Termination reason: Instruction limit
% 8.36/2.91 % (2025147)Termination phase: Saturation
% 8.36/2.91 % (2025147)Time elapsed: 0.273 s
% 8.36/2.91 % (2025147)Peak memory usage: 91 MB
% 8.36/2.91 % (2025147)Instructions burned: 285 (million)
% 8.36/2.91 % (2025149)Instruction limit reached!
% 8.36/2.91 % (2025149)------------------------------
% 8.36/2.91 % (2025149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.91 % (2025149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.91 % (2025149)CaDiCaL version: 2.1.3
% 8.36/2.91 % (2025149)Termination reason: Instruction limit
% 8.36/2.91 % (2025149)Termination phase: Saturation
% 8.36/2.91 % (2025149)Time elapsed: 0.326 s
% 8.36/2.91 % (2025149)Peak memory usage: 92 MB
% 8.36/2.91 % (2025149)Instructions burned: 325 (million)
% 8.36/2.91 % (2025156)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2513994962:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 8.36/2.91 % (2025155)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1181500238:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 8.36/2.91 % (2025157)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=962496779:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 8.36/2.91 % (2025158)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=561312411:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 8.36/2.91 % (2025158)Refutation not found, incomplete strategy
% 8.36/2.91 % (2025158)------------------------------
% 8.36/2.91 % (2025158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.91 % (2025158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.91 % (2025158)CaDiCaL version: 2.1.3
% 8.36/2.91 % (2025158)Termination reason: Refutation not found, incomplete strategy
% 8.36/2.91 % (2025158)Time elapsed: 0.002 s
% 8.36/2.91 % (2025158)Peak memory usage: 88 MB
% 8.36/2.91 % (2025158)Instructions burned: 1 (million)
% 8.36/2.91 % (2025157)Instruction limit reached!
% 8.36/2.91 % (2025157)------------------------------
% 8.36/2.91 % (2025157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.91 % (2025157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.91 % (2025157)CaDiCaL version: 2.1.3
% 8.36/2.91 % (2025157)Termination reason: Instruction limit
% 8.36/2.91 % (2025157)Termination phase: Saturation
% 8.36/2.91 % (2025157)Time elapsed: 0.106 s
% 8.36/2.91 % (2025157)Peak memory usage: 89 MB
% 8.36/2.91 % (2025157)Instructions burned: 114 (million)
% 8.36/2.91 % (2025155)Instruction limit reached!
% 8.36/2.91 % (2025155)------------------------------
% 8.36/2.91 % (2025155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.91 % (2025155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.91 % (2025155)CaDiCaL version: 2.1.3
% 8.36/2.91 % (2025155)Termination reason: Instruction limit
% 8.36/2.91 % (2025155)Termination phase: Saturation
% 8.36/2.91 % (2025155)Time elapsed: 0.268 s
% 8.36/2.91 % (2025155)Peak memory usage: 90 MB
% 8.36/2.91 % (2025155)Instructions burned: 295 (million)
% 8.36/2.91 % (2025134)First to succeed.
% 8.36/2.91 % (2025134)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2025126"
% 8.36/2.91 % (2025163)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1446918273:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 8.36/2.91 % (2025164)lrs+10_1_sil=8000:sp=occurrence:random_seed=3956270577:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 8.36/2.91 % (2025158)------------------------------
% 8.36/2.91 % (2025158)------------------------------
% 8.36/2.91 % (2025163)Instruction limit reached!
% 8.36/2.91 % (2025163)------------------------------
% 8.36/2.91 % (2025163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.36/2.91 % (2025163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/2.91 % (2025163)CaDiCaL version: 2.1.3
% 8.36/2.91 % (2025163)Termination reason: Instruction limit
% 8.36/2.91 % (2025163)Termination phase: Saturation
% 8.36/2.91 % (2025163)Time elapsed: 0.099 s
% 8.36/2.91 % (2025163)Peak memory usage: 89 MB
% 8.36/2.91 % (2025163)Instructions burned: 114 (million)
% 8.36/2.91 % (2025134)Refutation found. Thanks to Tanya!
% 8.36/2.91 % SZS status Theorem for theBenchmark
% 8.36/2.91 % SZS output start Proof for theBenchmark
% See solution above
% 13.94/3.11 % (2025134)------------------------------
% 13.94/3.11 % (2025134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.94/3.11 % (2025134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/3.11 % (2025134)CaDiCaL version: 2.1.3
% 13.94/3.11 % (2025134)Termination reason: Refutation
% 13.94/3.11 % (2025134)Time elapsed: 1.347 s
% 13.94/3.11 % (2025134)Peak memory usage: 137 MB
% 13.94/3.11 % (2025134)Instructions burned: 1824 (million)
% 13.94/3.11 % (2025134)------------------------------
% 13.94/3.11 % (2025134)------------------------------
% 13.94/3.11 % (2025126)Success in time 1.882 s
% 13.94/3.11 % Vampire exiting
%------------------------------------------------------------------------------