%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE028+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 : n014.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 11:40:07 AM UTC 2026
% Result : Theorem 89.72s 18.52s
% Output : Refutation 125.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 14
% Syntax : Number of formulae : 170 ( 150 unt; 0 def)
% Number of atoms : 221 ( 169 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 94 ( 43 ~; 24 |; 20 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 159 ( 144 !; 15 ?)
% 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,negated_conjecture,
! [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,negated_conjecture,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,negated_conjecture,
! [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,negated_conjecture,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f13,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_1) ).
fof(f14,negated_conjecture,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f17,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( test(X4)
& test(X5) )
=> addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3)))) = addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( test(X4)
& test(X5) )
=> addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3)))) = addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3)))) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0,X1,X2,X3,X4,X5] :
( addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3)))) != addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3))))
& test(X4)
& test(X5) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1,X2,X3,X4,X5] :
( addition(multiplication(X4,addition(multiplication(X5,X0),multiplication(c(X5),X1))),multiplication(c(X4),addition(multiplication(X5,X2),multiplication(c(X5),X3)))) != addition(multiplication(X5,addition(multiplication(X4,X0),multiplication(c(X4),X2))),multiplication(c(X5),addition(multiplication(X4,X1),multiplication(c(X4),X3))))
& test(X4)
& test(X5) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f24,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK0(X0),X0)
| ~ test(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f27,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f29,plain,
( addition(multiplication(sK5,addition(multiplication(sK6,sK1),multiplication(c(sK6),sK2))),multiplication(c(sK5),addition(multiplication(sK6,sK3),multiplication(c(sK6),sK4)))) != addition(multiplication(sK6,addition(multiplication(sK5,sK1),multiplication(c(sK5),sK3))),multiplication(c(sK6),addition(multiplication(sK5,sK2),multiplication(c(sK5),sK4))))
& test(sK5)
& test(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6)],[f22]) ).
fof(f30,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f31,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f35,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f36,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f37,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f40,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f41,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f43,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f27]) ).
fof(f44,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f45,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0,X1] :
( ~ test(X0)
| c(X0) != X1
| complement(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
test(sK6),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
test(sK5),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
addition(multiplication(sK5,addition(multiplication(sK6,sK1),multiplication(c(sK6),sK2))),multiplication(c(sK5),addition(multiplication(sK6,sK3),multiplication(c(sK6),sK4)))) != addition(multiplication(sK6,addition(multiplication(sK5,sK1),multiplication(c(sK5),sK3))),multiplication(c(sK6),addition(multiplication(sK5,sK2),multiplication(c(sK5),sK4)))),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
addition(multiplication(sK5,addition(multiplication(sK6,sK1),multiplication(c(sK6),sK2))),multiplication(c(sK5),addition(multiplication(sK6,sK3),multiplication(c(sK6),sK4)))) != addition(multiplication(sK6,addition(multiplication(sK5,sK1),multiplication(c(sK5),sK3))),addition(multiplication(c(sK6),multiplication(sK5,sK2)),multiplication(c(sK6),multiplication(c(sK5),sK4)))),
inference(backward_demodulation,[],[f52,f37]) ).
fof(f54,plain,
addition(multiplication(sK5,addition(multiplication(sK6,sK1),multiplication(c(sK6),sK2))),multiplication(c(sK5),addition(multiplication(sK6,sK3),multiplication(c(sK6),sK4)))) != addition(addition(multiplication(sK6,multiplication(sK5,sK1)),multiplication(sK6,multiplication(c(sK5),sK3))),addition(multiplication(c(sK6),multiplication(sK5,sK2)),multiplication(c(sK6),multiplication(c(sK5),sK4)))),
inference(forward_demodulation,[],[f53,f37]) ).
fof(f55,plain,
addition(multiplication(sK5,addition(multiplication(sK6,sK1),multiplication(c(sK6),sK2))),multiplication(c(sK5),addition(multiplication(sK6,sK3),multiplication(c(sK6),sK4)))) != addition(multiplication(sK6,multiplication(sK5,sK1)),addition(multiplication(sK6,multiplication(c(sK5),sK3)),addition(multiplication(c(sK6),multiplication(sK5,sK2)),multiplication(c(sK6),multiplication(c(sK5),sK4))))),
inference(forward_demodulation,[],[f54,f31]) ).
fof(f56,plain,
addition(multiplication(sK6,multiplication(sK5,sK1)),addition(multiplication(sK6,multiplication(c(sK5),sK3)),addition(multiplication(c(sK6),multiplication(sK5,sK2)),multiplication(c(sK6),multiplication(c(sK5),sK4))))) != addition(multiplication(sK5,addition(multiplication(sK6,sK1),multiplication(c(sK6),sK2))),addition(multiplication(c(sK5),multiplication(sK6,sK3)),multiplication(c(sK5),multiplication(c(sK6),sK4)))),
inference(forward_demodulation,[],[f55,f37]) ).
fof(f57,plain,
addition(multiplication(sK6,multiplication(sK5,sK1)),addition(multiplication(sK6,multiplication(c(sK5),sK3)),addition(multiplication(c(sK6),multiplication(sK5,sK2)),multiplication(c(sK6),multiplication(c(sK5),sK4))))) != addition(addition(multiplication(sK5,multiplication(sK6,sK1)),multiplication(sK5,multiplication(c(sK6),sK2))),addition(multiplication(c(sK5),multiplication(sK6,sK3)),multiplication(c(sK5),multiplication(c(sK6),sK4)))),
inference(forward_demodulation,[],[f56,f37]) ).
fof(f58,plain,
addition(multiplication(sK6,multiplication(sK5,sK1)),addition(multiplication(sK6,multiplication(c(sK5),sK3)),addition(multiplication(c(sK6),multiplication(sK5,sK2)),multiplication(c(sK6),multiplication(c(sK5),sK4))))) != addition(multiplication(sK5,multiplication(sK6,sK1)),addition(multiplication(sK5,multiplication(c(sK6),sK2)),addition(multiplication(c(sK5),multiplication(sK6,sK3)),multiplication(c(sK5),multiplication(c(sK6),sK4))))),
inference(forward_demodulation,[],[f57,f31]) ).
fof(f66,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f31,f30]) ).
fof(f67,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X2,X0)),
inference(superposition,[],[f31,f30]) ).
fof(f68,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(forward_demodulation,[],[f66,f31]) ).
fof(f165,plain,
! [X2,X3,X0,X1] : addition(X3,addition(X0,addition(X1,X2))) = addition(addition(X0,X1),addition(X3,X2)),
inference(superposition,[],[f67,f67]) ).
fof(f194,plain,
! [X2,X3,X0,X1] : addition(X3,addition(X0,addition(X1,X2))) = addition(X0,addition(X1,addition(X3,X2))),
inference(forward_demodulation,[],[f165,f31]) ).
fof(f215,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f30,f32]) ).
fof(f228,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f31,f33]) ).
fof(f345,plain,
complement(sK5,multiplication(c(sK5),one)),
inference(unit_resulting_resolution,[],[f47,f51,f35]) ).
fof(f346,plain,
complement(sK6,multiplication(c(sK6),one)),
inference(unit_resulting_resolution,[],[f47,f50,f35]) ).
fof(f353,plain,
complement(sK5,c(sK5)),
inference(forward_demodulation,[],[f345,f35]) ).
fof(f354,plain,
complement(sK6,c(sK6)),
inference(forward_demodulation,[],[f346,f35]) ).
fof(f361,plain,
complement(sK0(sK5),sK5),
inference(unit_resulting_resolution,[],[f41,f51]) ).
fof(f362,plain,
complement(sK0(sK6),sK6),
inference(unit_resulting_resolution,[],[f41,f50]) ).
fof(f363,plain,
zero = multiplication(sK6,sK0(sK6)),
inference(unit_resulting_resolution,[],[f45,f362]) ).
fof(f364,plain,
zero = multiplication(sK5,sK0(sK5)),
inference(unit_resulting_resolution,[],[f45,f361]) ).
fof(f369,plain,
zero = multiplication(sK0(sK6),sK6),
inference(unit_resulting_resolution,[],[f44,f362]) ).
fof(f370,plain,
zero = multiplication(sK0(sK5),sK5),
inference(unit_resulting_resolution,[],[f44,f361]) ).
fof(f371,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK0(sK5),multiplication(sK5,X0)),
inference(superposition,[],[f34,f370]) ).
fof(f372,plain,
! [X0] : zero = multiplication(sK0(sK5),multiplication(sK5,X0)),
inference(forward_demodulation,[],[f371,f40]) ).
fof(f453,plain,
one = addition(sK6,sK0(sK6)),
inference(unit_resulting_resolution,[],[f43,f362]) ).
fof(f454,plain,
one = addition(sK5,sK0(sK5)),
inference(unit_resulting_resolution,[],[f43,f361]) ).
fof(f458,plain,
! [X0] : multiplication(X0,one) = addition(multiplication(X0,sK5),multiplication(X0,sK0(sK5))),
inference(superposition,[],[f37,f454]) ).
fof(f459,plain,
! [X0] : multiplication(one,X0) = addition(multiplication(sK5,X0),multiplication(sK0(sK5),X0)),
inference(superposition,[],[f38,f454]) ).
fof(f464,plain,
one = addition(sK5,one),
inference(superposition,[],[f228,f454]) ).
fof(f465,plain,
one = addition(one,sK5),
inference(forward_demodulation,[],[f464,f30]) ).
fof(f467,plain,
! [X0] : addition(multiplication(sK5,X0),multiplication(sK0(sK5),X0)) = X0,
inference(forward_demodulation,[],[f459,f36]) ).
fof(f468,plain,
! [X0] : addition(multiplication(X0,sK5),multiplication(X0,sK0(sK5))) = X0,
inference(forward_demodulation,[],[f458,f35]) ).
fof(f472,plain,
! [X0] : multiplication(X0,one) = addition(multiplication(X0,one),multiplication(X0,sK5)),
inference(superposition,[],[f37,f465]) ).
fof(f473,plain,
! [X0] : multiplication(one,X0) = addition(multiplication(one,X0),multiplication(sK5,X0)),
inference(superposition,[],[f38,f465]) ).
fof(f480,plain,
! [X0] : addition(X0,multiplication(sK5,X0)) = X0,
inference(forward_demodulation,[],[f473,f36]) ).
fof(f481,plain,
! [X0] : addition(X0,multiplication(X0,sK5)) = X0,
inference(forward_demodulation,[],[f472,f35]) ).
fof(f486,plain,
! [X0] : multiplication(X0,one) = addition(multiplication(X0,sK6),multiplication(X0,sK0(sK6))),
inference(superposition,[],[f37,f453]) ).
fof(f487,plain,
! [X0] : multiplication(one,X0) = addition(multiplication(sK6,X0),multiplication(sK0(sK6),X0)),
inference(superposition,[],[f38,f453]) ).
fof(f492,plain,
one = addition(sK6,one),
inference(superposition,[],[f228,f453]) ).
fof(f493,plain,
one = addition(one,sK6),
inference(forward_demodulation,[],[f492,f30]) ).
fof(f495,plain,
! [X0] : addition(multiplication(sK6,X0),multiplication(sK0(sK6),X0)) = X0,
inference(forward_demodulation,[],[f487,f36]) ).
fof(f496,plain,
! [X0] : addition(multiplication(X0,sK6),multiplication(X0,sK0(sK6))) = X0,
inference(forward_demodulation,[],[f486,f35]) ).
fof(f500,plain,
! [X0] : multiplication(X0,one) = addition(multiplication(X0,one),multiplication(X0,sK6)),
inference(superposition,[],[f37,f493]) ).
fof(f501,plain,
! [X0] : multiplication(one,X0) = addition(multiplication(one,X0),multiplication(sK6,X0)),
inference(superposition,[],[f38,f493]) ).
fof(f508,plain,
! [X0] : addition(X0,multiplication(sK6,X0)) = X0,
inference(forward_demodulation,[],[f501,f36]) ).
fof(f509,plain,
! [X0] : addition(X0,multiplication(X0,sK6)) = X0,
inference(forward_demodulation,[],[f500,f35]) ).
fof(f521,plain,
! [X0,X1] : multiplication(X1,X0) = addition(multiplication(X1,X0),multiplication(X1,multiplication(sK5,X0))),
inference(superposition,[],[f37,f480]) ).
fof(f550,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(multiplication(sK6,X0),X1)),
inference(superposition,[],[f31,f508]) ).
fof(f551,plain,
! [X0,X1] : multiplication(X1,X0) = addition(multiplication(X1,X0),multiplication(X1,multiplication(sK6,X0))),
inference(superposition,[],[f37,f508]) ).
fof(f725,plain,
one = addition(c(sK5),sK5),
inference(unit_resulting_resolution,[],[f43,f353]) ).
fof(f727,plain,
zero = multiplication(c(sK5),sK5),
inference(unit_resulting_resolution,[],[f45,f353]) ).
fof(f729,plain,
one = addition(sK5,c(sK5)),
inference(forward_demodulation,[],[f725,f30]) ).
fof(f732,plain,
! [X0] : multiplication(one,X0) = addition(multiplication(sK5,X0),multiplication(c(sK5),X0)),
inference(superposition,[],[f38,f729]) ).
fof(f740,plain,
! [X0] : addition(multiplication(sK5,X0),multiplication(c(sK5),X0)) = X0,
inference(forward_demodulation,[],[f732,f36]) ).
fof(f744,plain,
one = addition(c(sK6),sK6),
inference(unit_resulting_resolution,[],[f43,f354]) ).
fof(f746,plain,
zero = multiplication(c(sK6),sK6),
inference(unit_resulting_resolution,[],[f45,f354]) ).
fof(f748,plain,
one = addition(sK6,c(sK6)),
inference(forward_demodulation,[],[f744,f30]) ).
fof(f751,plain,
! [X0] : multiplication(one,X0) = addition(multiplication(sK6,X0),multiplication(c(sK6),X0)),
inference(superposition,[],[f38,f748]) ).
fof(f759,plain,
! [X0] : addition(multiplication(sK6,X0),multiplication(c(sK6),X0)) = X0,
inference(forward_demodulation,[],[f751,f36]) ).
fof(f773,plain,
! [X0,X1] : multiplication(X1,X0) = addition(multiplication(X1,X0),multiplication(X1,multiplication(X0,sK5))),
inference(superposition,[],[f37,f481]) ).
fof(f810,plain,
! [X0,X1] : multiplication(X1,X0) = addition(multiplication(X1,X0),multiplication(X1,multiplication(X0,sK6))),
inference(superposition,[],[f37,f509]) ).
fof(f1235,plain,
c(sK5) = addition(zero,multiplication(c(sK5),sK0(sK5))),
inference(superposition,[],[f468,f727]) ).
fof(f1247,plain,
! [X0,X1] : multiplication(X1,X0) = addition(multiplication(X1,multiplication(X0,sK5)),multiplication(X1,multiplication(X0,sK0(sK5)))),
inference(superposition,[],[f37,f468]) ).
fof(f1267,plain,
c(sK5) = multiplication(c(sK5),sK0(sK5)),
inference(forward_demodulation,[],[f1235,f215]) ).
fof(f1686,plain,
c(sK6) = addition(zero,multiplication(c(sK6),sK0(sK6))),
inference(superposition,[],[f496,f746]) ).
fof(f1723,plain,
c(sK6) = multiplication(c(sK6),sK0(sK6)),
inference(forward_demodulation,[],[f1686,f215]) ).
fof(f2170,plain,
! [X0] : addition(X0,X0) = addition(X0,multiplication(sK0(sK6),X0)),
inference(superposition,[],[f550,f495]) ).
fof(f2187,plain,
! [X0] : addition(X0,multiplication(sK0(sK6),X0)) = X0,
inference(forward_demodulation,[],[f2170,f33]) ).
fof(f2227,plain,
! [X0,X1] : multiplication(X1,X0) = addition(multiplication(X1,X0),multiplication(X1,multiplication(sK0(sK6),X0))),
inference(superposition,[],[f37,f2187]) ).
fof(f2514,plain,
sK0(sK5) = addition(zero,multiplication(c(sK5),sK0(sK5))),
inference(superposition,[],[f740,f364]) ).
fof(f2551,plain,
sK0(sK5) = multiplication(c(sK5),sK0(sK5)),
inference(forward_demodulation,[],[f2514,f215]) ).
fof(f2565,plain,
c(sK5) = sK0(sK5),
inference(forward_demodulation,[],[f2551,f1267]) ).
fof(f2572,plain,
addition(multiplication(sK6,multiplication(sK5,sK1)),addition(multiplication(sK6,multiplication(sK0(sK5),sK3)),addition(multiplication(c(sK6),multiplication(sK5,sK2)),multiplication(c(sK6),multiplication(sK0(sK5),sK4))))) != addition(multiplication(sK5,multiplication(sK6,sK1)),addition(multiplication(sK5,multiplication(c(sK6),sK2)),addition(multiplication(sK0(sK5),multiplication(sK6,sK3)),multiplication(sK0(sK5),multiplication(c(sK6),sK4))))),
inference(backward_demodulation,[],[f58,f2565]) ).
fof(f2596,plain,
addition(multiplication(sK6,multiplication(sK5,sK1)),addition(multiplication(sK6,multiplication(sK0(sK5),sK3)),addition(multiplication(c(sK6),multiplication(sK5,sK2)),multiplication(c(sK6),multiplication(sK0(sK5),sK4))))) != addition(multiplication(sK0(sK5),multiplication(sK6,sK3)),addition(multiplication(sK5,multiplication(sK6,sK1)),addition(multiplication(sK5,multiplication(c(sK6),sK2)),multiplication(sK0(sK5),multiplication(c(sK6),sK4))))),
inference(forward_demodulation,[],[f2572,f194]) ).
fof(f2598,plain,
addition(multiplication(sK6,multiplication(sK5,sK1)),addition(multiplication(sK6,multiplication(sK0(sK5),sK3)),addition(multiplication(c(sK6),multiplication(sK5,sK2)),multiplication(c(sK6),multiplication(sK0(sK5),sK4))))) != addition(multiplication(sK5,multiplication(sK6,sK1)),addition(multiplication(sK0(sK5),multiplication(sK6,sK3)),addition(multiplication(sK5,multiplication(c(sK6),sK2)),multiplication(sK0(sK5),multiplication(c(sK6),sK4))))),
inference(forward_demodulation,[],[f2596,f68]) ).
fof(f2610,plain,
sK0(sK6) = addition(zero,multiplication(c(sK6),sK0(sK6))),
inference(superposition,[],[f759,f363]) ).
fof(f2647,plain,
sK0(sK6) = multiplication(c(sK6),sK0(sK6)),
inference(forward_demodulation,[],[f2610,f215]) ).
fof(f2661,plain,
c(sK6) = sK0(sK6),
inference(forward_demodulation,[],[f2647,f1723]) ).
fof(f2683,plain,
addition(multiplication(sK6,multiplication(sK5,sK1)),addition(multiplication(sK6,multiplication(sK0(sK5),sK3)),addition(multiplication(sK0(sK6),multiplication(sK5,sK2)),multiplication(sK0(sK6),multiplication(sK0(sK5),sK4))))) != addition(multiplication(sK5,multiplication(sK6,sK1)),addition(multiplication(sK0(sK5),multiplication(sK6,sK3)),addition(multiplication(sK5,multiplication(sK0(sK6),sK2)),multiplication(sK0(sK5),multiplication(sK0(sK6),sK4))))),
inference(backward_demodulation,[],[f2598,f2661]) ).
fof(f3032,plain,
zero = addition(zero,multiplication(sK0(sK5),multiplication(sK6,sK5))),
inference(superposition,[],[f551,f370]) ).
fof(f3036,plain,
zero = addition(zero,multiplication(sK5,multiplication(sK6,sK0(sK5)))),
inference(superposition,[],[f551,f364]) ).
fof(f3087,plain,
zero = multiplication(sK5,multiplication(sK6,sK0(sK5))),
inference(forward_demodulation,[],[f3036,f215]) ).
fof(f3090,plain,
zero = multiplication(sK0(sK5),multiplication(sK6,sK5)),
inference(forward_demodulation,[],[f3032,f215]) ).
fof(f3128,plain,
multiplication(sK6,sK5) = addition(multiplication(sK5,multiplication(sK6,sK5)),zero),
inference(superposition,[],[f467,f3090]) ).
fof(f3135,plain,
multiplication(sK6,sK5) = multiplication(sK5,multiplication(sK6,sK5)),
inference(forward_demodulation,[],[f3128,f32]) ).
fof(f3165,plain,
zero = addition(zero,multiplication(sK0(sK6),multiplication(sK5,sK6))),
inference(superposition,[],[f521,f369]) ).
fof(f3223,plain,
zero = multiplication(sK0(sK6),multiplication(sK5,sK6)),
inference(forward_demodulation,[],[f3165,f215]) ).
fof(f3266,plain,
multiplication(sK5,sK6) = addition(multiplication(sK6,multiplication(sK5,sK6)),zero),
inference(superposition,[],[f495,f3223]) ).
fof(f3275,plain,
multiplication(sK5,sK6) = multiplication(sK6,multiplication(sK5,sK6)),
inference(forward_demodulation,[],[f3266,f32]) ).
fof(f4169,plain,
multiplication(sK6,sK0(sK5)) = addition(zero,multiplication(sK0(sK5),multiplication(sK6,sK0(sK5)))),
inference(superposition,[],[f467,f3087]) ).
fof(f4190,plain,
multiplication(sK6,sK0(sK5)) = multiplication(sK0(sK5),multiplication(sK6,sK0(sK5))),
inference(forward_demodulation,[],[f4169,f215]) ).
fof(f4941,plain,
multiplication(sK5,sK6) = addition(multiplication(sK5,sK6),multiplication(sK6,sK5)),
inference(superposition,[],[f773,f3135]) ).
fof(f5090,plain,
multiplication(sK6,sK5) = addition(multiplication(sK6,sK5),multiplication(sK5,sK6)),
inference(superposition,[],[f810,f3275]) ).
fof(f5126,plain,
multiplication(sK6,sK5) = addition(multiplication(sK5,sK6),multiplication(sK6,sK5)),
inference(forward_demodulation,[],[f5090,f30]) ).
fof(f5160,plain,
multiplication(sK6,sK5) = multiplication(sK5,sK6),
inference(forward_demodulation,[],[f5126,f4941]) ).
fof(f5221,plain,
! [X0] : multiplication(sK6,multiplication(sK5,X0)) = multiplication(multiplication(sK5,sK6),X0),
inference(superposition,[],[f34,f5160]) ).
fof(f5232,plain,
! [X0] : multiplication(sK6,multiplication(sK5,X0)) = multiplication(sK5,multiplication(sK6,X0)),
inference(forward_demodulation,[],[f5221,f34]) ).
fof(f5247,plain,
addition(multiplication(sK5,multiplication(sK6,sK1)),addition(multiplication(sK0(sK5),multiplication(sK6,sK3)),addition(multiplication(sK5,multiplication(sK0(sK6),sK2)),multiplication(sK0(sK5),multiplication(sK0(sK6),sK4))))) != addition(multiplication(sK5,multiplication(sK6,sK1)),addition(multiplication(sK6,multiplication(sK0(sK5),sK3)),addition(multiplication(sK0(sK6),multiplication(sK5,sK2)),multiplication(sK0(sK6),multiplication(sK0(sK5),sK4))))),
inference(backward_demodulation,[],[f2683,f5232]) ).
fof(f6403,plain,
zero = addition(zero,multiplication(sK0(sK5),multiplication(sK0(sK6),sK5))),
inference(superposition,[],[f2227,f370]) ).
fof(f6408,plain,
zero = addition(zero,multiplication(sK5,multiplication(sK0(sK6),sK0(sK5)))),
inference(superposition,[],[f2227,f364]) ).
fof(f6490,plain,
zero = multiplication(sK5,multiplication(sK0(sK6),sK0(sK5))),
inference(forward_demodulation,[],[f6408,f215]) ).
fof(f6493,plain,
zero = multiplication(sK0(sK5),multiplication(sK0(sK6),sK5)),
inference(forward_demodulation,[],[f6403,f215]) ).
fof(f6536,plain,
multiplication(sK0(sK6),sK5) = addition(multiplication(sK5,multiplication(sK0(sK6),sK5)),zero),
inference(superposition,[],[f467,f6493]) ).
fof(f6564,plain,
multiplication(sK0(sK6),sK5) = multiplication(sK5,multiplication(sK0(sK6),sK5)),
inference(forward_demodulation,[],[f6536,f32]) ).
fof(f6573,plain,
multiplication(sK0(sK6),sK0(sK5)) = addition(zero,multiplication(sK0(sK5),multiplication(sK0(sK6),sK0(sK5)))),
inference(superposition,[],[f467,f6490]) ).
fof(f6604,plain,
multiplication(sK0(sK6),sK0(sK5)) = multiplication(sK0(sK5),multiplication(sK0(sK6),sK0(sK5))),
inference(forward_demodulation,[],[f6573,f215]) ).
fof(f7518,plain,
multiplication(sK0(sK5),sK6) = addition(multiplication(sK0(sK5),multiplication(sK6,sK5)),multiplication(sK6,sK0(sK5))),
inference(superposition,[],[f1247,f4190]) ).
fof(f7519,plain,
multiplication(sK0(sK5),sK0(sK6)) = addition(multiplication(sK0(sK5),multiplication(sK0(sK6),sK5)),multiplication(sK0(sK6),sK0(sK5))),
inference(superposition,[],[f1247,f6604]) ).
fof(f7525,plain,
multiplication(sK5,sK0(sK6)) = addition(multiplication(sK5,multiplication(sK0(sK6),sK5)),zero),
inference(superposition,[],[f1247,f6490]) ).
fof(f7570,plain,
multiplication(sK5,sK0(sK6)) = multiplication(sK5,multiplication(sK0(sK6),sK5)),
inference(forward_demodulation,[],[f7525,f32]) ).
fof(f7576,plain,
multiplication(sK0(sK5),sK0(sK6)) = addition(zero,multiplication(sK0(sK6),sK0(sK5))),
inference(forward_demodulation,[],[f7519,f6493]) ).
fof(f7577,plain,
multiplication(sK0(sK5),sK6) = addition(multiplication(sK0(sK5),multiplication(sK5,sK6)),multiplication(sK6,sK0(sK5))),
inference(forward_demodulation,[],[f7518,f5160]) ).
fof(f7619,plain,
multiplication(sK5,sK0(sK6)) = multiplication(sK0(sK6),sK5),
inference(forward_demodulation,[],[f7570,f6564]) ).
fof(f7624,plain,
multiplication(sK0(sK5),sK0(sK6)) = multiplication(sK0(sK6),sK0(sK5)),
inference(forward_demodulation,[],[f7576,f215]) ).
fof(f7625,plain,
multiplication(sK0(sK5),sK6) = addition(zero,multiplication(sK6,sK0(sK5))),
inference(forward_demodulation,[],[f7577,f372]) ).
fof(f7673,plain,
multiplication(sK6,sK0(sK5)) = multiplication(sK0(sK5),sK6),
inference(forward_demodulation,[],[f7625,f215]) ).
fof(f7763,plain,
! [X0] : multiplication(sK6,multiplication(sK0(sK5),X0)) = multiplication(multiplication(sK0(sK5),sK6),X0),
inference(superposition,[],[f34,f7673]) ).
fof(f7778,plain,
! [X0] : multiplication(sK0(sK5),multiplication(sK6,X0)) = multiplication(sK6,multiplication(sK0(sK5),X0)),
inference(forward_demodulation,[],[f7763,f34]) ).
fof(f7798,plain,
addition(multiplication(sK5,multiplication(sK6,sK1)),addition(multiplication(sK0(sK5),multiplication(sK6,sK3)),addition(multiplication(sK5,multiplication(sK0(sK6),sK2)),multiplication(sK0(sK5),multiplication(sK0(sK6),sK4))))) != addition(multiplication(sK5,multiplication(sK6,sK1)),addition(multiplication(sK0(sK5),multiplication(sK6,sK3)),addition(multiplication(sK0(sK6),multiplication(sK5,sK2)),multiplication(sK0(sK6),multiplication(sK0(sK5),sK4))))),
inference(backward_demodulation,[],[f5247,f7778]) ).
fof(f7945,plain,
! [X0] : multiplication(sK0(sK6),multiplication(sK5,X0)) = multiplication(multiplication(sK5,sK0(sK6)),X0),
inference(superposition,[],[f34,f7619]) ).
fof(f7961,plain,
! [X0] : multiplication(sK0(sK6),multiplication(sK5,X0)) = multiplication(sK5,multiplication(sK0(sK6),X0)),
inference(forward_demodulation,[],[f7945,f34]) ).
fof(f7979,plain,
addition(multiplication(sK5,multiplication(sK6,sK1)),addition(multiplication(sK0(sK5),multiplication(sK6,sK3)),addition(multiplication(sK5,multiplication(sK0(sK6),sK2)),multiplication(sK0(sK5),multiplication(sK0(sK6),sK4))))) != addition(multiplication(sK5,multiplication(sK6,sK1)),addition(multiplication(sK0(sK5),multiplication(sK6,sK3)),addition(multiplication(sK5,multiplication(sK0(sK6),sK2)),multiplication(sK0(sK6),multiplication(sK0(sK5),sK4))))),
inference(backward_demodulation,[],[f7798,f7961]) ).
fof(f7999,plain,
! [X0] : multiplication(multiplication(sK0(sK5),sK0(sK6)),X0) = multiplication(sK0(sK6),multiplication(sK0(sK5),X0)),
inference(superposition,[],[f34,f7624]) ).
fof(f8015,plain,
! [X0] : multiplication(sK0(sK5),multiplication(sK0(sK6),X0)) = multiplication(sK0(sK6),multiplication(sK0(sK5),X0)),
inference(forward_demodulation,[],[f7999,f34]) ).
fof(f8033,plain,
addition(multiplication(sK5,multiplication(sK6,sK1)),addition(multiplication(sK0(sK5),multiplication(sK6,sK3)),addition(multiplication(sK5,multiplication(sK0(sK6),sK2)),multiplication(sK0(sK5),multiplication(sK0(sK6),sK4))))) != addition(multiplication(sK5,multiplication(sK6,sK1)),addition(multiplication(sK0(sK5),multiplication(sK6,sK3)),addition(multiplication(sK5,multiplication(sK0(sK6),sK2)),multiplication(sK0(sK5),multiplication(sK0(sK6),sK4))))),
inference(backward_demodulation,[],[f7979,f8015]) ).
fof(f8035,plain,
$false,
inference(trivial_inequality_removal,[],[f8033]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE028+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n014.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 13:04:16 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 11.48/2.57 % (800448)Detected formulas, will run a generic FOF schedule.
% 11.48/2.57 % (800459)dis-21_1_sil=8000:lcm=predicate:random_seed=4261229970: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)
% 11.48/2.57 % (800459)Refutation not found, incomplete strategy
% 11.48/2.57 % (800459)------------------------------
% 11.48/2.57 % (800459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.48/2.57 % (800459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.48/2.57 % (800459)CaDiCaL version: 2.1.3
% 11.48/2.57 % (800459)Termination reason: Refutation not found, incomplete strategy
% 11.48/2.57 % (800459)Time elapsed: 0.002 s
% 11.48/2.57 % (800459)Peak memory usage: 88 MB
% 11.48/2.57 % (800459)Instructions burned: 2 (million)
% 11.48/2.57 % (800456)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2038617974:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.48/2.57 % (800453)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=3574496913:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.48/2.57 % (800454)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=1973122319:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.48/2.57 % (800458)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3546093809:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.48/2.57 % (800457)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3089402634:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.48/2.57 % (800455)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=3674971180:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.48/2.57 % (800456)Refutation not found, incomplete strategy
% 11.48/2.57 % (800456)------------------------------
% 11.48/2.57 % (800456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.48/2.57 % (800456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.48/2.57 % (800456)CaDiCaL version: 2.1.3
% 11.48/2.57 % (800456)Termination reason: Refutation not found, incomplete strategy
% 11.48/2.57 % (800456)Time elapsed: 0.002 s
% 11.48/2.57 % (800456)Peak memory usage: 88 MB
% 11.48/2.57 % (800456)Instructions burned: 1 (million)
% 11.48/2.57 % (800457)Instruction limit reached!
% 11.48/2.57 % (800457)------------------------------
% 11.48/2.57 % (800457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.48/2.57 % (800457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.48/2.57 % (800457)CaDiCaL version: 2.1.3
% 11.48/2.57 % (800457)Termination reason: Instruction limit
% 11.48/2.57 % (800457)Termination phase: Saturation
% 11.48/2.57 % (800457)Time elapsed: 0.060 s
% 11.48/2.57 % (800457)Peak memory usage: 88 MB
% 11.48/2.57 % (800457)Instructions burned: 121 (million)
% 11.48/2.57 % (800458)Instruction limit reached!
% 11.48/2.57 % (800458)------------------------------
% 11.48/2.57 % (800458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.48/2.57 % (800458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.48/2.57 % (800458)CaDiCaL version: 2.1.3
% 11.48/2.57 % (800458)Termination reason: Instruction limit
% 11.48/2.57 % (800458)Termination phase: Saturation
% 11.48/2.57 % (800458)Time elapsed: 0.079 s
% 11.48/2.57 % (800458)Peak memory usage: 90 MB
% 11.48/2.57 % (800458)Instructions burned: 140 (million)
% 11.48/2.57 % (800459)------------------------------
% 11.48/2.57 % (800459)------------------------------
% 11.48/2.57 % (800467)lrs+10_1_sil=8000:sp=occurrence:random_seed=1739232748:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.48/2.57 % (800469)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1908299546:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.48/2.57 % (800468)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3021204191:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.48/2.57 % (800456)------------------------------
% 11.48/2.57 % (800456)------------------------------
% 11.48/2.57 % (800468)Instruction limit reached!
% 11.48/2.57 % (800468)------------------------------
% 11.48/2.57 % (800468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.90/3.48 % (800468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.90/3.48 % (800468)CaDiCaL version: 2.1.3
% 17.90/3.48 % (800468)Termination reason: Instruction limit
% 17.90/3.48 % (800468)Termination phase: Saturation
% 17.90/3.48 % (800468)Time elapsed: 0.085 s
% 17.90/3.48 % (800468)Peak memory usage: 89 MB
% 17.90/3.48 % (800468)Instructions burned: 158 (million)
% 17.90/3.48 % (800469)Instruction limit reached!
% 17.90/3.48 % (800469)------------------------------
% 17.90/3.48 % (800469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.90/3.48 % (800469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.90/3.48 % (800469)CaDiCaL version: 2.1.3
% 17.90/3.48 % (800469)Termination reason: Instruction limit
% 17.90/3.48 % (800469)Termination phase: Saturation
% 17.90/3.48 % (800469)Time elapsed: 0.101 s
% 17.90/3.48 % (800469)Peak memory usage: 91 MB
% 17.90/3.48 % (800469)Instructions burned: 327 (million)
% 17.90/3.48 % (800467)Instruction limit reached!
% 17.90/3.48 % (800467)------------------------------
% 17.90/3.48 % (800467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.90/3.48 % (800467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.90/3.48 % (800467)CaDiCaL version: 2.1.3
% 17.90/3.48 % (800467)Termination reason: Instruction limit
% 17.90/3.48 % (800467)Termination phase: Saturation
% 17.90/3.48 % (800467)Time elapsed: 0.171 s
% 17.90/3.48 % (800467)Peak memory usage: 91 MB
% 17.90/3.48 % (800467)Instructions burned: 285 (million)
% 17.90/3.48 % (800473)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=679274627:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 17.90/3.48 % (800475)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3216925970:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 17.90/3.48 % (800474)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2078088998:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 17.90/3.48 % (800476)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4160020236:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 17.90/3.48 % (800473)Instruction limit reached!
% 17.90/3.48 % (800473)------------------------------
% 17.90/3.48 % (800473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.90/3.48 % (800473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.90/3.48 % (800473)CaDiCaL version: 2.1.3
% 17.90/3.48 % (800473)Termination reason: Instruction limit
% 17.90/3.48 % (800473)Termination phase: Saturation
% 17.90/3.48 % (800473)Time elapsed: 0.151 s
% 17.90/3.48 % (800473)Peak memory usage: 91 MB
% 17.90/3.48 % (800473)Instructions burned: 249 (million)
% 17.90/3.48 % (800476)Instruction limit reached!
% 17.90/3.48 % (800476)------------------------------
% 17.90/3.48 % (800476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.90/3.48 % (800476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.90/3.48 % (800476)CaDiCaL version: 2.1.3
% 17.90/3.48 % (800476)Termination reason: Instruction limit
% 17.90/3.48 % (800476)Termination phase: Saturation
% 17.90/3.48 % (800476)Time elapsed: 0.072 s
% 17.90/3.48 % (800476)Peak memory usage: 90 MB
% 17.90/3.48 % (800476)Instructions burned: 113 (million)
% 17.90/3.48 % (800474)Instruction limit reached!
% 17.90/3.48 % (800474)------------------------------
% 17.90/3.48 % (800474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.90/3.48 % (800474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.90/3.48 % (800474)CaDiCaL version: 2.1.3
% 17.90/3.48 % (800474)Termination reason: Instruction limit
% 17.90/3.48 % (800474)Termination phase: Saturation
% 17.90/3.48 % (800474)Time elapsed: 0.178 s
% 17.90/3.48 % (800474)Peak memory usage: 90 MB
% 17.90/3.48 % (800474)Instructions burned: 295 (million)
% 17.90/3.48 % (800481)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=703626046:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 17.90/3.48 % (800483)lrs+10_1_sil=8000:sp=occurrence:random_seed=765532361:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 17.90/3.48 % (800482)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2134050042:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 17.90/3.48 % (800481)Instruction limit reached!
% 53.13/8.33 % (800481)------------------------------
% 53.13/8.33 % (800481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.13/8.33 % (800481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.13/8.33 % (800481)CaDiCaL version: 2.1.3
% 53.13/8.33 % (800481)Termination reason: Instruction limit
% 53.13/8.33 % (800481)Termination phase: Saturation
% 53.13/8.33 % (800481)Time elapsed: 0.062 s
% 53.13/8.33 % (800481)Peak memory usage: 89 MB
% 53.13/8.33 % (800481)Instructions burned: 127 (million)
% 53.13/8.33 % (800482)Instruction limit reached!
% 53.13/8.33 % (800482)------------------------------
% 53.13/8.33 % (800482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.13/8.33 % (800482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.13/8.33 % (800482)CaDiCaL version: 2.1.3
% 53.13/8.33 % (800482)Termination reason: Instruction limit
% 53.13/8.33 % (800482)Termination phase: Saturation
% 53.13/8.33 % (800482)Time elapsed: 0.056 s
% 53.13/8.33 % (800482)Peak memory usage: 88 MB
% 53.13/8.33 % (800482)Instructions burned: 114 (million)
% 53.13/8.33 % (800487)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1992205920:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 53.13/8.33 % (800488)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2996404835:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 53.13/8.33 % (800487)Instruction limit reached!
% 53.13/8.33 % (800487)------------------------------
% 53.13/8.33 % (800487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.13/8.33 % (800487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.13/8.33 % (800487)CaDiCaL version: 2.1.3
% 53.13/8.33 % (800487)Termination reason: Instruction limit
% 53.13/8.33 % (800487)Termination phase: Saturation
% 53.13/8.33 % (800487)Time elapsed: 0.208 s
% 53.13/8.33 % (800487)Peak memory usage: 90 MB
% 53.13/8.33 % (800487)Instructions burned: 438 (million)
% 53.13/8.33 % (800475)Instruction limit reached!
% 53.13/8.33 % (800475)------------------------------
% 53.13/8.33 % (800475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.13/8.33 % (800475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.13/8.33 % (800475)CaDiCaL version: 2.1.3
% 53.13/8.33 % (800475)Termination reason: Instruction limit
% 53.13/8.33 % (800475)Termination phase: Saturation
% 53.13/8.33 % (800475)Time elapsed: 0.806 s
% 53.13/8.33 % (800475)Peak memory usage: 143 MB
% 53.13/8.33 % (800475)Instructions burned: 2352 (million)
% 53.13/8.33 % (800483)Instruction limit reached!
% 53.13/8.33 % (800483)------------------------------
% 53.13/8.33 % (800483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.13/8.33 % (800483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.13/8.33 % (800483)CaDiCaL version: 2.1.3
% 53.13/8.33 % (800483)Termination reason: Instruction limit
% 53.13/8.33 % (800483)Termination phase: Saturation
% 53.13/8.33 % (800483)Time elapsed: 0.482 s
% 53.13/8.33 % (800483)Peak memory usage: 94 MB
% 53.13/8.33 % (800483)Instructions burned: 908 (million)
% 53.13/8.33 % (800491)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2856589081:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 53.13/8.33 % (800493)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3764134157:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 53.13/8.33 % (800491)Instruction limit reached!
% 53.13/8.33 % (800491)------------------------------
% 53.13/8.33 % (800491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.13/8.33 % (800491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.13/8.33 % (800491)CaDiCaL version: 2.1.3
% 53.13/8.33 % (800491)Termination reason: Instruction limit
% 53.13/8.33 % (800491)Termination phase: Saturation
% 53.13/8.33 % (800491)Time elapsed: 0.074 s
% 53.13/8.33 % (800491)Peak memory usage: 90 MB
% 53.13/8.33 % (800491)Instructions burned: 136 (million)
% 53.13/8.33 % (800492)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2734872413:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 53.13/8.33 % (800496)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=407352308:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 69.59/10.71 % (800496)Instruction limit reached!
% 69.59/10.71 % (800496)------------------------------
% 69.59/10.71 % (800496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.59/10.71 % (800496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.59/10.71 % (800496)CaDiCaL version: 2.1.3
% 69.59/10.71 % (800496)Termination reason: Instruction limit
% 69.59/10.71 % (800496)Termination phase: Saturation
% 69.59/10.71 % (800496)Time elapsed: 0.082 s
% 69.59/10.71 % (800496)Peak memory usage: 90 MB
% 69.59/10.71 % (800496)Instructions burned: 125 (million)
% 69.59/10.71 % (800499)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3218502890:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 69.59/10.71 % (800492)Instruction limit reached!
% 69.59/10.71 % (800492)------------------------------
% 69.59/10.71 % (800492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.59/10.71 % (800492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.59/10.71 % (800492)CaDiCaL version: 2.1.3
% 69.59/10.71 % (800492)Termination reason: Instruction limit
% 69.59/10.71 % (800492)Termination phase: Saturation
% 69.59/10.71 % (800492)Time elapsed: 0.392 s
% 69.59/10.71 % (800492)Peak memory usage: 96 MB
% 69.59/10.71 % (800492)Instructions burned: 593 (million)
% 69.59/10.71 % (800499)Instruction limit reached!
% 69.59/10.71 % (800499)------------------------------
% 69.59/10.71 % (800499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.59/10.71 % (800499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.59/10.71 % (800499)CaDiCaL version: 2.1.3
% 69.59/10.71 % (800499)Termination reason: Instruction limit
% 69.59/10.71 % (800499)Termination phase: Saturation
% 69.59/10.71 % (800499)Time elapsed: 0.040 s
% 69.59/10.71 % (800499)Peak memory usage: 89 MB
% 69.59/10.71 % (800499)Instructions burned: 136 (million)
% 69.59/10.71 % (800502)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3787079271:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 69.59/10.71 % (800502)Refutation not found, incomplete strategy
% 69.59/10.71 % (800502)------------------------------
% 69.59/10.71 % (800502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.59/10.71 % (800502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.59/10.71 % (800502)CaDiCaL version: 2.1.3
% 69.59/10.71 % (800502)Termination reason: Refutation not found, incomplete strategy
% 69.59/10.71 % (800502)Time elapsed: 0.001 s
% 69.59/10.71 % (800502)Peak memory usage: 88 MB
% 69.59/10.71 % (800502)Instructions burned: 1 (million)
% 69.59/10.71 % (800501)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=467214735:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 69.59/10.71 % (800501)Refutation not found, incomplete strategy
% 69.59/10.71 % (800501)------------------------------
% 69.59/10.71 % (800501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.59/10.71 % (800501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.59/10.71 % (800501)CaDiCaL version: 2.1.3
% 69.59/10.71 % (800501)Termination reason: Refutation not found, incomplete strategy
% 69.59/10.71 % (800501)Time elapsed: 0.001 s
% 69.59/10.71 % (800501)Peak memory usage: 88 MB
% 69.59/10.71 % (800502)------------------------------
% 69.59/10.71 % (800502)------------------------------
% 69.59/10.71 % (800501)------------------------------
% 69.59/10.71 % (800501)------------------------------
% 69.59/10.71 % (800505)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=2047788149:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 69.59/10.71 % (800506)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=3533990873:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 69.59/10.71 % (800506)Instruction limit reached!
% 69.59/10.71 % (800506)------------------------------
% 69.59/10.71 % (800506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.59/10.71 % (800506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.59/10.71 % (800506)CaDiCaL version: 2.1.3
% 69.59/10.71 % (800506)Termination reason: Instruction limit
% 69.59/10.71 % (800506)Termination phase: Saturation
% 69.59/10.71 % (800506)Time elapsed: 0.100 s
% 99.38/14.97 % (800506)Peak memory usage: 91 MB
% 99.38/14.97 % (800506)Instructions burned: 150 (million)
% 99.38/14.97 % (800509)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3118603367:i=14155:bd=all_2973 on theBenchmark for (2973ds/14155Mi)
% 99.38/14.97 % (800488)Instruction limit reached!
% 99.38/14.97 % (800488)------------------------------
% 99.38/14.97 % (800488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.38/14.97 % (800488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.38/14.97 % (800488)CaDiCaL version: 2.1.3
% 99.38/14.97 % (800488)Termination reason: Instruction limit
% 99.38/14.97 % (800488)Termination phase: Saturation
% 99.38/14.97 % (800488)Time elapsed: 3.084 s
% 99.38/14.97 % (800488)Peak memory usage: 167 MB
% 99.38/14.97 % (800488)Instructions burned: 5202 (million)
% 99.38/14.97 % (800505)Instruction limit reached!
% 99.38/14.97 % (800505)------------------------------
% 99.38/14.97 % (800505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.38/14.97 % (800505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.38/14.97 % (800505)CaDiCaL version: 2.1.3
% 99.38/14.97 % (800505)Termination reason: Instruction limit
% 99.38/14.97 % (800505)Termination phase: Saturation
% 99.38/14.97 % (800505)Time elapsed: 1.961 s
% 99.38/14.97 % (800505)Peak memory usage: 182 MB
% 99.38/14.97 % (800505)Instructions burned: 6061 (million)
% 99.38/14.97 % (800511)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2549598692:i=667:av=off:fsr=off_2957 on theBenchmark for (2957ds/667Mi)
% 99.38/14.97 % (800511)Refutation not found, incomplete strategy
% 99.38/14.97 % (800511)------------------------------
% 99.38/14.97 % (800511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.38/14.97 % (800511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.38/14.97 % (800511)CaDiCaL version: 2.1.3
% 99.38/14.97 % (800511)Termination reason: Refutation not found, incomplete strategy
% 99.38/14.97 % (800511)Time elapsed: 0.002 s
% 99.38/14.97 % (800511)Peak memory usage: 88 MB
% 99.38/14.97 % (800511)Instructions burned: 1 (million)
% 99.38/14.97 % (800512)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=2779612618:s2a=on:i=185:s2at=1.8:fdi=4_2956 on theBenchmark for (2956ds/185Mi)
% 99.38/14.97 % (800512)Instruction limit reached!
% 99.38/14.97 % (800512)------------------------------
% 99.38/14.97 % (800512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.38/14.97 % (800512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.38/14.97 % (800512)CaDiCaL version: 2.1.3
% 99.38/14.97 % (800512)Termination reason: Instruction limit
% 99.38/14.97 % (800512)Termination phase: Saturation
% 99.38/14.97 % (800512)Time elapsed: 0.055 s
% 99.38/14.97 % (800512)Peak memory usage: 90 MB
% 99.38/14.97 % (800512)Instructions burned: 189 (million)
% 99.38/14.97 % (800515)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3212302955:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2954 on theBenchmark for (2954ds/193Mi)
% 99.38/14.97 % (800511)------------------------------
% 99.38/14.97 % (800511)------------------------------
% 99.38/14.97 % (800515)Instruction limit reached!
% 99.38/14.97 % (800515)------------------------------
% 99.38/14.97 % (800515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.38/14.97 % (800515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.38/14.97 % (800515)CaDiCaL version: 2.1.3
% 99.38/14.97 % (800515)Termination reason: Instruction limit
% 99.38/14.97 % (800515)Termination phase: Saturation
% 99.38/14.97 % (800515)Time elapsed: 0.067 s
% 99.38/14.97 % (800515)Peak memory usage: 90 MB
% 99.38/14.97 % (800515)Instructions burned: 196 (million)
% 99.38/14.97 % (800517)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1745329802:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2953 on theBenchmark for (2953ds/4850Mi)
% 99.38/14.97 % (800518)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=916757892:i=12111:sd=1:ss=included_2952 on theBenchmark for (2952ds/12111Mi)
% 99.38/14.97 % (800517)Instruction limit reached!
% 99.38/14.97 % (800517)------------------------------
% 99.38/14.97 % (800517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.38/14.97 % (800517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800517)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800517)Termination reason: Instruction limit
% 89.72/18.52 % (800517)Termination phase: Saturation
% 89.72/18.52 % (800517)Time elapsed: 2.662 s
% 89.72/18.52 % (800517)Peak memory usage: 125 MB
% 89.72/18.52 % (800517)Instructions burned: 4851 (million)
% 89.72/18.52 % (800521)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2219746235:i=319:kws=precedence:fsr=off_2925 on theBenchmark for (2925ds/319Mi)
% 89.72/18.52 % (800521)Instruction limit reached!
% 89.72/18.52 % (800521)------------------------------
% 89.72/18.52 % (800521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800521)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800521)Termination reason: Instruction limit
% 89.72/18.52 % (800521)Termination phase: Saturation
% 89.72/18.52 % (800521)Time elapsed: 0.191 s
% 89.72/18.52 % (800521)Peak memory usage: 93 MB
% 89.72/18.52 % (800521)Instructions burned: 320 (million)
% 89.72/18.52 % (800523)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2557392273:i=2064:ep=RST_2921 on theBenchmark for (2921ds/2064Mi)
% 89.72/18.52 % (800518)Instruction limit reached!
% 89.72/18.52 % (800518)------------------------------
% 89.72/18.52 % (800518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800518)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800518)Termination reason: Instruction limit
% 89.72/18.52 % (800518)Termination phase: Saturation
% 89.72/18.52 % (800518)Time elapsed: 3.772 s
% 89.72/18.52 % (800518)Peak memory usage: 242 MB
% 89.72/18.52 % (800518)Instructions burned: 12114 (million)
% 89.72/18.52 % (800525)dis-1011_128_sil=32000:random_seed=688645730:i=3706:ep=RST:av=off_2913 on theBenchmark for (2913ds/3706Mi)
% 89.72/18.52 % (800493)Instruction limit reached!
% 89.72/18.52 % (800493)------------------------------
% 89.72/18.52 % (800493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800493)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800493)Termination reason: Instruction limit
% 89.72/18.52 % (800493)Termination phase: Saturation
% 89.72/18.52 % (800493)Time elapsed: 7.625 s
% 89.72/18.52 % (800493)Peak memory usage: 238 MB
% 89.72/18.52 % (800493)Instructions burned: 13194 (million)
% 89.72/18.52 % (800523)Instruction limit reached!
% 89.72/18.52 % (800523)------------------------------
% 89.72/18.52 % (800523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800523)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800523)Termination reason: Instruction limit
% 89.72/18.52 % (800523)Termination phase: Saturation
% 89.72/18.52 % (800523)Time elapsed: 1.278 s
% 89.72/18.52 % (800523)Peak memory usage: 108 MB
% 89.72/18.52 % (800523)Instructions burned: 2064 (million)
% 89.72/18.52 % (800527)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=94130440:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2908 on theBenchmark for (2908ds/757Mi)
% 89.72/18.52 % (800528)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3111473426:i=13913:ss=axioms:sgt=8_2907 on theBenchmark for (2907ds/13913Mi)
% 89.72/18.52 % (800527)Instruction limit reached!
% 89.72/18.52 % (800527)------------------------------
% 89.72/18.52 % (800527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800527)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800527)Termination reason: Instruction limit
% 89.72/18.52 % (800527)Termination phase: Saturation
% 89.72/18.52 % (800527)Time elapsed: 0.422 s
% 89.72/18.52 % (800527)Peak memory usage: 96 MB
% 89.72/18.52 % (800527)Instructions burned: 759 (million)
% 89.72/18.52 % (800525)Instruction limit reached!
% 89.72/18.52 % (800525)------------------------------
% 89.72/18.52 % (800525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800525)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800525)Termination reason: Instruction limit
% 89.72/18.52 % (800525)Termination phase: Saturation
% 89.72/18.52 % (800525)Time elapsed: 1.119 s
% 89.72/18.52 % (800525)Peak memory usage: 116 MB
% 89.72/18.52 % (800525)Instructions burned: 3708 (million)
% 89.72/18.52 % (800531)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1641490635:i=9925:aac=none_2902 on theBenchmark for (2902ds/9925Mi)
% 89.72/18.52 % (800532)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1984486415:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2901 on theBenchmark for (2901ds/2479Mi)
% 89.72/18.52 % (800532)Instruction limit reached!
% 89.72/18.52 % (800532)------------------------------
% 89.72/18.52 % (800532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800532)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800532)Termination reason: Instruction limit
% 89.72/18.52 % (800532)Termination phase: Saturation
% 89.72/18.52 % (800532)Time elapsed: 0.809 s
% 89.72/18.52 % (800532)Peak memory usage: 105 MB
% 89.72/18.52 % (800532)Instructions burned: 2479 (million)
% 89.72/18.52 % (800535)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2146118806:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2892 on theBenchmark for (2892ds/440Mi)
% 89.72/18.52 % (800535)Instruction limit reached!
% 89.72/18.52 % (800535)------------------------------
% 89.72/18.52 % (800535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800535)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800535)Termination reason: Instruction limit
% 89.72/18.52 % (800535)Termination phase: Saturation
% 89.72/18.52 % (800535)Time elapsed: 0.126 s
% 89.72/18.52 % (800535)Peak memory usage: 91 MB
% 89.72/18.52 % (800535)Instructions burned: 440 (million)
% 89.72/18.52 % (800537)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=181811485:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2889 on theBenchmark for (2889ds/11145Mi)
% 89.72/18.52 % (800509)Instruction limit reached!
% 89.72/18.52 % (800509)------------------------------
% 89.72/18.52 % (800509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800509)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800509)Termination reason: Instruction limit
% 89.72/18.52 % (800509)Termination phase: Saturation
% 89.72/18.52 % (800509)Time elapsed: 8.401 s
% 89.72/18.52 % (800509)Peak memory usage: 246 MB
% 89.72/18.52 % (800509)Instructions burned: 14155 (million)
% 89.72/18.52 % (800539)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2177403659:cts=off:i=3034:av=off:er=known:fsd=on_2887 on theBenchmark for (2887ds/3034Mi)
% 89.72/18.52 % (800539)Instruction limit reached!
% 89.72/18.52 % (800539)------------------------------
% 89.72/18.52 % (800539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800539)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800539)Termination reason: Instruction limit
% 89.72/18.52 % (800539)Termination phase: Saturation
% 89.72/18.52 % (800539)Time elapsed: 1.630 s
% 89.72/18.52 % (800539)Peak memory usage: 135 MB
% 89.72/18.52 % (800539)Instructions burned: 3036 (million)
% 89.72/18.52 % (800541)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3558600245:st=2:s2a=on:i=524:s2at=2:ss=axioms_2869 on theBenchmark for (2869ds/524Mi)
% 89.72/18.52 % (800541)Instruction limit reached!
% 89.72/18.52 % (800541)------------------------------
% 89.72/18.52 % (800541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800541)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800541)Termination reason: Instruction limit
% 89.72/18.52 % (800541)Termination phase: Saturation
% 89.72/18.52 % (800541)Time elapsed: 0.260 s
% 89.72/18.52 % (800541)Peak memory usage: 91 MB
% 89.72/18.52 % (800541)Instructions burned: 525 (million)
% 89.72/18.52 % (800543)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3580109035:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2865 on theBenchmark for (2865ds/1016Mi)
% 89.72/18.52 % (800543)Instruction limit reached!
% 89.72/18.52 % (800543)------------------------------
% 89.72/18.52 % (800543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800543)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800543)Termination reason: Instruction limit
% 89.72/18.52 % (800543)Termination phase: Saturation
% 89.72/18.52 % (800543)Time elapsed: 0.517 s
% 89.72/18.52 % (800543)Peak memory usage: 96 MB
% 89.72/18.52 % (800543)Instructions burned: 1017 (million)
% 89.72/18.52 % (800545)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2299620707:i=14123:bd=preordered:ins=4_2858 on theBenchmark for (2858ds/14123Mi)
% 89.72/18.52 % (800537)Instruction limit reached!
% 89.72/18.52 % (800537)------------------------------
% 89.72/18.52 % (800537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800537)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800537)Termination reason: Instruction limit
% 89.72/18.52 % (800537)Termination phase: Saturation
% 89.72/18.52 % (800537)Time elapsed: 3.370 s
% 89.72/18.52 % (800537)Peak memory usage: 225 MB
% 89.72/18.52 % (800537)Instructions burned: 11149 (million)
% 89.72/18.52 % (800547)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2080114710:i=5781:kws=precedence:bd=all:rawr=on_2854 on theBenchmark for (2854ds/5781Mi)
% 89.72/18.52 % (800531)Instruction limit reached!
% 89.72/18.52 % (800531)------------------------------
% 89.72/18.52 % (800531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800531)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800531)Termination reason: Instruction limit
% 89.72/18.52 % (800531)Termination phase: Saturation
% 89.72/18.52 % (800531)Time elapsed: 6.189 s
% 89.72/18.52 % (800531)Peak memory usage: 209 MB
% 89.72/18.52 % (800531)Instructions burned: 9926 (million)
% 89.72/18.52 % (800547)Instruction limit reached!
% 89.72/18.52 % (800547)------------------------------
% 89.72/18.52 % (800547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800547)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800547)Termination reason: Instruction limit
% 89.72/18.52 % (800547)Termination phase: Saturation
% 89.72/18.52 % (800547)Time elapsed: 1.594 s
% 89.72/18.52 % (800547)Peak memory usage: 128 MB
% 89.72/18.52 % (800547)Instructions burned: 5783 (million)
% 89.72/18.52 % (800549)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=4229046921:i=2448:gtgl=5:bd=preordered:gtg=all_2838 on theBenchmark for (2838ds/2448Mi)
% 89.72/18.52 % (800550)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3282351934:i=3223:kws=precedence:fgj=on:av=off_2837 on theBenchmark for (2837ds/3223Mi)
% 89.72/18.52 % (800549)First to succeed.
% 89.72/18.52 % (800549)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-800448"
% 89.72/18.52 % (800550)Instruction limit reached!
% 89.72/18.52 % (800550)------------------------------
% 89.72/18.52 % (800550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.72/18.52 % (800550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.72/18.52 % (800550)CaDiCaL version: 2.1.3
% 89.72/18.52 % (800550)Termination reason: Instruction limit
% 89.72/18.52 % (800550)Termination phase: Saturation
% 89.72/18.52 % (800550)Time elapsed: 1.122 s
% 89.72/18.52 % (800550)Peak memory usage: 152 MB
% 89.72/18.52 % (800550)Instructions burned: 3223 (million)
% 89.72/18.52 % (800549)Refutation found. Thanks to Tanya!
% 89.72/18.52 % SZS status Theorem for theBenchmark
% 89.72/18.52 % SZS output start Proof for theBenchmark
% See solution above
% 125.53/18.61 % (800549)------------------------------
% 125.53/18.61 % (800549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.53/18.61 % (800549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.53/18.61 % (800549)CaDiCaL version: 2.1.3
% 125.53/18.61 % (800549)Termination reason: Refutation
% 125.53/18.61 % (800549)Time elapsed: 1.038 s
% 125.53/18.61 % (800549)Peak memory usage: 134 MB
% 125.53/18.61 % (800549)Instructions burned: 1533 (million)
% 125.53/18.61 % (800549)------------------------------
% 125.53/18.61 % (800549)------------------------------
% 125.53/18.61 % (800448)Success in time 17.655 s
% 125.53/18.61 % Vampire exiting
%------------------------------------------------------------------------------