%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE010+3 : 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 : n019.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 11:40:02 AM UTC 2026
% Result : Theorem 4.28s 1.62s
% Output : Refutation 5.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 18
% Syntax : Number of formulae : 201 ( 94 unt; 3 def)
% Number of atoms : 374 ( 197 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 343 ( 170 ~; 140 |; 21 &)
% ( 7 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 230 ( 0 sgn 223 !; 7 ?)
% 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(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] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_1) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_3) ).
fof(f16,axiom,
! [X0] :
( ~ test(X0)
=> c(X0) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_4) ).
fof(f18,axiom,
! [X0,X1] :
( ( test(X0)
& test(X1) )
=> c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_deMorgan2) ).
fof(f19,conjecture,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> one = addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> one = addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
? [X0,X1] :
( one != addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
? [X0,X1] :
( one != addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))
& test(X1)
& test(X0) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( c(multiplication(X0,X1)) = addition(c(X0),c(X1))
| ~ test(X0)
| ~ test(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f24,plain,
! [X0,X1] :
( c(multiplication(X0,X1)) = addition(c(X0),c(X1))
| ~ test(X0)
| ~ test(X1) ),
inference(flattening,[],[f23]) ).
fof(f27,plain,
! [X0] :
( c(X0) = zero
| test(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f28,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f29,plain,
( one != addition(addition(addition(addition(multiplication(sK1,sK0),multiplication(c(sK1),sK0)),multiplication(sK0,sK1)),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1)))
& test(sK1)
& test(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f22]) ).
fof(f30,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f28]) ).
fof(f31,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f32,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK2(X0),X0)
| ~ test(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0))],[f32]) ).
fof(f34,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(f35,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,[],[f34]) ).
fof(f36,plain,
test(sK0),
inference(cnf_transformation,[],[f29]) ).
fof(f37,plain,
test(sK1),
inference(cnf_transformation,[],[f29]) ).
fof(f38,plain,
one != addition(addition(addition(addition(multiplication(sK1,sK0),multiplication(c(sK1),sK0)),multiplication(sK0,sK1)),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1))),
inference(cnf_transformation,[],[f29]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f40,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f41,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f42,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f43,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f44,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f46,plain,
! [X0] :
( test(X0)
| zero = c(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f48,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| c(X0) = X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f49,plain,
! [X0] :
( complement(sK2(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f50,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f52,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f35]) ).
fof(f53,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f54,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f55,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0)
| addition(X0,X1) != one ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f57,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f58,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f60,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f61,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f47]) ).
fof(f62,plain,
one != addition(multiplication(c(sK0),c(sK1)),addition(addition(addition(multiplication(sK1,sK0),multiplication(c(sK1),sK0)),multiplication(sK0,sK1)),multiplication(c(sK0),sK1))),
inference(forward_demodulation,[],[f38,f43]) ).
fof(f63,plain,
one != addition(multiplication(c(sK0),c(sK1)),addition(multiplication(c(sK0),sK1),addition(addition(multiplication(sK1,sK0),multiplication(c(sK1),sK0)),multiplication(sK0,sK1)))),
inference(forward_demodulation,[],[f62,f43]) ).
fof(f64,plain,
one != addition(multiplication(c(sK0),c(sK1)),addition(multiplication(c(sK0),sK1),addition(multiplication(sK0,sK1),addition(multiplication(sK1,sK0),multiplication(c(sK1),sK0))))),
inference(forward_demodulation,[],[f63,f43]) ).
fof(f65,plain,
one != addition(multiplication(c(sK0),c(sK1)),addition(multiplication(c(sK0),sK1),addition(multiplication(sK0,sK1),multiplication(addition(sK1,c(sK1)),sK0)))),
inference(forward_demodulation,[],[f64,f39]) ).
fof(f71,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f60,f43]) ).
fof(f72,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,sK2(X0)) ),
inference(resolution,[],[f52,f49]) ).
fof(f73,plain,
! [X0] :
( one = addition(c(X0),X0)
| ~ test(X0) ),
inference(resolution,[],[f52,f61]) ).
fof(f74,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,c(X0)) ),
inference(forward_demodulation,[],[f73,f43]) ).
fof(f79,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(sK2(X0),X0) ),
inference(resolution,[],[f53,f49]) ).
fof(f80,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,c(X0)) ),
inference(resolution,[],[f53,f61]) ).
fof(f81,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,sK2(X0)) ),
inference(resolution,[],[f54,f49]) ).
fof(f82,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(c(X0),X0) ),
inference(resolution,[],[f54,f61]) ).
fof(f89,plain,
one = addition(sK1,sK2(sK1)),
inference(resolution,[],[f72,f37]) ).
fof(f90,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f42,f41]) ).
fof(f93,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f42,f43]) ).
fof(f100,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f41,f42]) ).
fof(f103,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f43,f42]) ).
fof(f132,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f39,f56]) ).
fof(f137,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X2),addition(multiplication(X1,X2),X3)) = addition(multiplication(addition(X0,X1),X2),X3),
inference(superposition,[],[f42,f39]) ).
fof(f139,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X1,X2),multiplication(X0,X2)),
inference(superposition,[],[f43,f39]) ).
fof(f140,plain,
! [X0,X1] : addition(X0,multiplication(X1,X0)) = multiplication(addition(X1,one),X0),
inference(forward_demodulation,[],[f132,f43]) ).
fof(f158,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f40,f57]) ).
fof(f174,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f42,f40]) ).
fof(f176,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1)),
inference(superposition,[],[f43,f40]) ).
fof(f198,plain,
! [X0] :
( ~ test(X0)
| c(multiplication(X0,sK1)) = addition(c(X0),c(sK1)) ),
inference(resolution,[],[f44,f37]) ).
fof(f323,plain,
! [X0] :
( one = addition(X0,c(X0))
| zero = c(X0) ),
inference(resolution,[],[f74,f46]) ).
fof(f326,plain,
one = addition(sK0,c(sK0)),
inference(resolution,[],[f74,f36]) ).
fof(f327,plain,
one = addition(sK1,c(sK1)),
inference(resolution,[],[f74,f37]) ).
fof(f366,plain,
zero = multiplication(sK2(sK1),sK1),
inference(resolution,[],[f79,f37]) ).
fof(f386,plain,
zero = multiplication(sK1,c(sK1)),
inference(resolution,[],[f80,f37]) ).
fof(f424,plain,
zero = multiplication(sK1,sK2(sK1)),
inference(resolution,[],[f81,f37]) ).
fof(f426,plain,
! [X0] : addition(one,X0) = addition(sK0,addition(c(sK0),X0)),
inference(superposition,[],[f42,f326]) ).
fof(f432,plain,
zero = multiplication(c(sK1),sK1),
inference(resolution,[],[f82,f37]) ).
fof(f455,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),addition(X0,addition(X1,X2))),
inference(superposition,[],[f90,f42]) ).
fof(f468,plain,
one = addition(sK1,one),
inference(superposition,[],[f90,f327]) ).
fof(f483,plain,
one = addition(one,sK1),
inference(forward_demodulation,[],[f468,f43]) ).
fof(f492,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X0,addition(addition(X1,X2),addition(X0,X1))),
inference(forward_demodulation,[],[f455,f103]) ).
fof(f493,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X0,addition(X1,addition(addition(X1,X2),X0))),
inference(forward_demodulation,[],[f492,f103]) ).
fof(f494,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X0,addition(X1,addition(X1,addition(X2,X0)))),
inference(forward_demodulation,[],[f493,f42]) ).
fof(f495,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X0,addition(X1,addition(X2,X0))),
inference(forward_demodulation,[],[f494,f90]) ).
fof(f519,plain,
! [X2,X3,X0,X1] : addition(addition(X0,addition(X1,X2)),X3) = addition(X2,addition(addition(X0,X1),X3)),
inference(superposition,[],[f93,f42]) ).
fof(f546,plain,
! [X2,X0,X1] : addition(addition(X1,X0),X2) = addition(X0,addition(X1,addition(addition(X1,X0),X2))),
inference(superposition,[],[f90,f93]) ).
fof(f550,plain,
! [X2,X0,X1] : addition(X1,addition(X0,X2)) = addition(X0,addition(X1,addition(X1,addition(X0,X2)))),
inference(forward_demodulation,[],[f546,f42]) ).
fof(f568,plain,
! [X2,X3,X0,X1] : addition(addition(X0,addition(X1,X2)),X3) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f519,f42]) ).
fof(f571,plain,
! [X2,X0,X1] : addition(X1,addition(X0,X2)) = addition(X0,addition(X1,addition(X0,X2))),
inference(forward_demodulation,[],[f550,f90]) ).
fof(f580,plain,
! [X2,X3,X0,X1] : addition(X0,addition(addition(X1,X2),X3)) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f568,f42]) ).
fof(f587,plain,
! [X2,X3,X0,X1] : addition(X0,addition(X1,addition(X2,X3))) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f580,f42]) ).
fof(f757,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X2),addition(X3,multiplication(X0,X1))) = addition(X3,multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f103,f40]) ).
fof(f1047,plain,
( zero != zero
| zero != multiplication(sK1,sK2(sK1))
| complement(sK2(sK1),sK1)
| one != addition(sK1,sK2(sK1)) ),
inference(superposition,[],[f55,f366]) ).
fof(f1048,plain,
( zero != multiplication(sK1,sK2(sK1))
| complement(sK2(sK1),sK1)
| one != addition(sK1,sK2(sK1)) ),
inference(trivial_inequality_removal,[],[f1047]) ).
fof(f1049,plain,
( complement(sK2(sK1),sK1)
| one != addition(sK1,sK2(sK1)) ),
inference(forward_subsumption_resolution,[],[f1048,f424]) ).
fof(f1055,plain,
complement(sK2(sK1),sK1),
inference(forward_subsumption_resolution,[],[f1049,f89]) ).
fof(f1074,plain,
! [X2,X0,X1] : addition(X1,addition(multiplication(X0,X1),X2)) = addition(multiplication(addition(X0,one),X1),X2),
inference(superposition,[],[f42,f140]) ).
fof(f1124,plain,
( sK1 = c(sK2(sK1))
| ~ test(sK2(sK1)) ),
inference(resolution,[],[f1055,f48]) ).
fof(f1130,definition,
( spl3_6
<=> test(sK2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f1132,plain,
( ~ test(sK2(sK1))
| spl3_6 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f1134,definition,
( spl3_7
<=> sK1 = c(sK2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f1136,plain,
( sK1 = c(sK2(sK1))
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f1137,plain,
( ~ spl3_6
| spl3_7 ),
inference(avatar_split_clause,[],[f1124,f1134,f1130]) ).
fof(f1141,plain,
! [X0] : multiplication(X0,one) = addition(X0,multiplication(X0,sK1)),
inference(superposition,[],[f158,f483]) ).
fof(f1212,plain,
! [X0] : addition(X0,multiplication(X0,sK1)) = X0,
inference(forward_demodulation,[],[f1141,f57]) ).
fof(f1552,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(X2,X1)),
inference(superposition,[],[f40,f176]) ).
fof(f1752,plain,
( zero != zero
| zero != multiplication(c(sK1),sK1)
| complement(sK1,c(sK1))
| one != addition(c(sK1),sK1) ),
inference(superposition,[],[f55,f386]) ).
fof(f1761,plain,
( zero != multiplication(c(sK1),sK1)
| complement(sK1,c(sK1))
| one != addition(c(sK1),sK1) ),
inference(trivial_inequality_removal,[],[f1752]) ).
fof(f1770,plain,
( complement(sK1,c(sK1))
| one != addition(c(sK1),sK1) ),
inference(forward_subsumption_resolution,[],[f1761,f432]) ).
fof(f1780,plain,
( one != addition(sK1,c(sK1))
| complement(sK1,c(sK1)) ),
inference(forward_demodulation,[],[f1770,f43]) ).
fof(f1783,plain,
complement(sK1,c(sK1)),
inference(forward_subsumption_resolution,[],[f1780,f327]) ).
fof(f1901,plain,
test(c(sK1)),
inference(resolution,[],[f1783,f50]) ).
fof(f1941,plain,
! [X2,X3,X0,X1,X4] : addition(multiplication(addition(X4,X2),X3),addition(X0,X1)) = addition(multiplication(X4,X3),addition(X0,addition(X1,multiplication(X2,X3)))),
inference(superposition,[],[f137,f103]) ).
fof(f1942,plain,
! [X2,X3,X0,X1,X4] : addition(multiplication(addition(X4,X1),X2),addition(X3,X0)) = addition(multiplication(X4,X2),addition(X0,addition(multiplication(X1,X2),X3))),
inference(superposition,[],[f137,f103]) ).
fof(f1965,plain,
! [X2,X3,X0,X1] : addition(multiplication(addition(X0,X1),X2),X3) = addition(multiplication(X0,X2),addition(addition(multiplication(X1,X2),X3),addition(multiplication(addition(X0,X1),X2),X3))),
inference(superposition,[],[f100,f137]) ).
fof(f1970,plain,
! [X2,X3,X0,X1] : addition(multiplication(addition(X0,X1),X2),X3) = addition(multiplication(X0,X2),addition(X3,addition(addition(multiplication(X1,X2),X3),multiplication(addition(X0,X1),X2)))),
inference(forward_demodulation,[],[f1965,f103]) ).
fof(f2021,plain,
! [X2,X3,X0,X1] : addition(multiplication(addition(X0,X1),X2),X3) = addition(multiplication(addition(X0,addition(X0,X1)),X2),addition(X3,addition(multiplication(X1,X2),X3))),
inference(forward_demodulation,[],[f1970,f1941]) ).
fof(f2053,plain,
! [X2,X3,X0,X1] : addition(multiplication(addition(X0,X1),X2),X3) = addition(multiplication(X1,X2),addition(multiplication(addition(X0,addition(X0,X1)),X2),addition(X3,X3))),
inference(forward_demodulation,[],[f2021,f587]) ).
fof(f2076,plain,
! [X2,X3,X0,X1] : addition(multiplication(addition(X0,X1),X2),X3) = addition(multiplication(addition(X1,addition(X0,addition(X0,X1))),X2),addition(X3,X3)),
inference(forward_demodulation,[],[f2053,f137]) ).
fof(f2087,plain,
! [X2,X3,X0,X1] : addition(multiplication(addition(X0,X1),X2),X3) = addition(multiplication(addition(X1,addition(X0,addition(X0,X1))),X2),X3),
inference(forward_demodulation,[],[f2076,f41]) ).
fof(f2093,plain,
! [X2,X3,X0,X1] : addition(multiplication(addition(X0,X1),X2),X3) = addition(multiplication(addition(X1,addition(X0,X0)),X2),X3),
inference(forward_demodulation,[],[f2087,f495]) ).
fof(f2095,plain,
! [X2,X3,X0,X1] : addition(multiplication(addition(X0,X1),X2),X3) = addition(multiplication(addition(X1,X0),X2),X3),
inference(forward_demodulation,[],[f2093,f41]) ).
fof(f2107,plain,
one = addition(c(sK1),c(c(sK1))),
inference(resolution,[],[f1901,f74]) ).
fof(f2114,plain,
c(multiplication(c(sK1),sK1)) = addition(c(c(sK1)),c(sK1)),
inference(resolution,[],[f1901,f198]) ).
fof(f2120,plain,
addition(c(sK1),c(c(sK1))) = c(multiplication(c(sK1),sK1)),
inference(forward_demodulation,[],[f2114,f43]) ).
fof(f2123,plain,
c(zero) = addition(c(sK1),c(c(sK1))),
inference(forward_demodulation,[],[f2120,f432]) ).
fof(f2125,plain,
one = c(zero),
inference(forward_demodulation,[],[f2123,f2107]) ).
fof(f2152,plain,
! [X2,X3,X0,X1] : addition(multiplication(X1,addition(X3,X2)),multiplication(X0,X2)) = addition(multiplication(X1,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f174,f139]) ).
fof(f2474,plain,
( zero != zero
| zero != multiplication(sK2(sK1),sK1)
| complement(sK1,sK2(sK1))
| one != addition(sK2(sK1),sK1) ),
inference(superposition,[],[f55,f424]) ).
fof(f2490,plain,
( zero != multiplication(sK2(sK1),sK1)
| complement(sK1,sK2(sK1))
| one != addition(sK2(sK1),sK1) ),
inference(trivial_inequality_removal,[],[f2474]) ).
fof(f2506,plain,
( complement(sK1,sK2(sK1))
| one != addition(sK2(sK1),sK1) ),
inference(forward_subsumption_resolution,[],[f2490,f366]) ).
fof(f2521,plain,
( one != addition(sK1,sK2(sK1))
| complement(sK1,sK2(sK1)) ),
inference(forward_demodulation,[],[f2506,f43]) ).
fof(f2526,plain,
complement(sK1,sK2(sK1)),
inference(forward_subsumption_resolution,[],[f2521,f89]) ).
fof(f2527,plain,
( c(sK1) = sK2(sK1)
| ~ test(sK1) ),
inference(resolution,[],[f2526,f48]) ).
fof(f2531,plain,
test(sK2(sK1)),
inference(resolution,[],[f2526,f50]) ).
fof(f2532,plain,
( $false
| spl3_6 ),
inference(forward_subsumption_resolution,[],[f2531,f1132]) ).
fof(f2533,plain,
spl3_6,
inference(avatar_contradiction_clause,[],[f2532]) ).
fof(f2535,plain,
c(sK1) = sK2(sK1),
inference(forward_subsumption_resolution,[],[f2527,f37]) ).
fof(f2537,plain,
( sK1 = c(c(sK1))
| ~ spl3_7 ),
inference(forward_demodulation,[],[f1136,f2535]) ).
fof(f2809,definition,
( spl3_26
<=> zero = c(sK1) ),
introduced(definition,[new_symbols(definition,[spl3_26])],[avatar_definition]) ).
fof(f2810,plain,
( zero = c(sK1)
| ~ spl3_26 ),
inference(avatar_component_clause,[],[f2809]) ).
fof(f2811,plain,
( zero != c(sK1)
| spl3_26 ),
inference(avatar_component_clause,[],[f2809]) ).
fof(f4436,plain,
! [X0,X1] : addition(X1,X0) = addition(X0,addition(multiplication(X0,sK1),X1)),
inference(superposition,[],[f103,f1212]) ).
fof(f4817,plain,
( one != addition(multiplication(c(sK0),c(sK1)),addition(multiplication(c(sK0),sK1),addition(multiplication(sK0,sK1),multiplication(one,sK0))))
| zero = c(sK1) ),
inference(superposition,[],[f65,f323]) ).
fof(f4826,plain,
( one != addition(multiplication(c(sK0),c(sK1)),addition(multiplication(c(sK0),sK1),addition(multiplication(sK0,sK1),multiplication(one,sK0))))
| spl3_26 ),
inference(forward_subsumption_resolution,[],[f4817,f2811]) ).
fof(f4846,plain,
( one != addition(multiplication(c(sK0),sK1),addition(addition(multiplication(sK0,sK1),multiplication(one,sK0)),multiplication(c(sK0),c(sK1))))
| spl3_26 ),
inference(forward_demodulation,[],[f4826,f103]) ).
fof(f4855,plain,
( one != addition(addition(multiplication(sK0,sK1),multiplication(one,sK0)),multiplication(c(sK0),addition(c(sK1),sK1)))
| spl3_26 ),
inference(forward_demodulation,[],[f4846,f757]) ).
fof(f4857,plain,
( one != addition(multiplication(sK0,sK1),addition(multiplication(one,sK0),multiplication(c(sK0),addition(c(sK1),sK1))))
| spl3_26 ),
inference(forward_demodulation,[],[f4855,f42]) ).
fof(f4858,plain,
( one != addition(multiplication(one,sK0),addition(multiplication(c(sK0),addition(c(sK1),sK1)),multiplication(sK0,sK1)))
| spl3_26 ),
inference(forward_demodulation,[],[f4857,f103]) ).
fof(f4859,plain,
( one != addition(multiplication(one,sK0),addition(multiplication(sK0,sK1),multiplication(c(sK0),addition(c(sK1),sK1))))
| spl3_26 ),
inference(forward_demodulation,[],[f4858,f43]) ).
fof(f4860,plain,
( one != addition(multiplication(one,sK0),addition(multiplication(sK0,sK1),multiplication(c(sK0),addition(sK1,c(sK1)))))
| spl3_26 ),
inference(forward_demodulation,[],[f4859,f1552]) ).
fof(f4861,plain,
( one != addition(multiplication(one,sK0),addition(multiplication(sK0,sK1),multiplication(c(sK0),one)))
| spl3_26 ),
inference(forward_demodulation,[],[f4860,f327]) ).
fof(f4862,plain,
( one != addition(multiplication(one,sK0),addition(multiplication(sK0,sK1),c(sK0)))
| spl3_26 ),
inference(forward_demodulation,[],[f4861,f57]) ).
fof(f4863,plain,
( one != addition(c(sK0),addition(multiplication(one,sK0),multiplication(sK0,sK1)))
| spl3_26 ),
inference(forward_demodulation,[],[f4862,f103]) ).
fof(f4864,plain,
( one != addition(c(sK0),addition(sK0,multiplication(sK0,sK1)))
| spl3_26 ),
inference(forward_demodulation,[],[f4863,f56]) ).
fof(f4865,plain,
( one != addition(sK0,addition(multiplication(sK0,sK1),c(sK0)))
| spl3_26 ),
inference(forward_demodulation,[],[f4864,f103]) ).
fof(f4866,plain,
( one != addition(c(sK0),sK0)
| spl3_26 ),
inference(forward_demodulation,[],[f4865,f4436]) ).
fof(f4867,plain,
( one != addition(sK0,c(sK0))
| spl3_26 ),
inference(forward_demodulation,[],[f4866,f43]) ).
fof(f4868,plain,
( $false
| spl3_26 ),
inference(forward_subsumption_resolution,[],[f4867,f326]) ).
fof(f4869,plain,
spl3_26,
inference(avatar_contradiction_clause,[],[f4868]) ).
fof(f4882,plain,
( one != addition(multiplication(c(sK0),zero),addition(multiplication(c(sK0),sK1),addition(multiplication(sK0,sK1),multiplication(addition(sK1,zero),sK0))))
| ~ spl3_26 ),
inference(superposition,[],[f65,f2810]) ).
fof(f4898,plain,
( sK1 = c(zero)
| ~ spl3_7
| ~ spl3_26 ),
inference(superposition,[],[f2537,f2810]) ).
fof(f4904,plain,
( one = sK1
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4898,f2125]) ).
fof(f4914,plain,
( one != addition(multiplication(sK0,sK1),addition(multiplication(c(sK0),zero),addition(multiplication(c(sK0),sK1),multiplication(addition(sK1,zero),sK0))))
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4882,f587]) ).
fof(f4925,plain,
( one != addition(multiplication(addition(sK0,c(sK0)),sK1),addition(multiplication(addition(sK1,zero),sK0),multiplication(c(sK0),zero)))
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4914,f1942]) ).
fof(f4926,plain,
( one != addition(multiplication(c(sK0),zero),addition(multiplication(addition(sK0,c(sK0)),sK1),multiplication(addition(sK1,zero),sK0)))
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4925,f103]) ).
fof(f4927,plain,
( one != addition(multiplication(c(sK0),zero),addition(multiplication(addition(sK1,zero),sK0),multiplication(addition(sK0,c(sK0)),sK1)))
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4926,f43]) ).
fof(f4928,plain,
( one != addition(multiplication(c(sK0),zero),addition(multiplication(addition(zero,sK1),sK0),multiplication(addition(sK0,c(sK0)),sK1)))
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4927,f2095]) ).
fof(f4929,plain,
( one != addition(multiplication(c(sK0),zero),addition(multiplication(addition(zero,one),sK0),multiplication(addition(sK0,c(sK0)),one)))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4928,f4904]) ).
fof(f4930,plain,
( one != addition(multiplication(c(sK0),zero),addition(sK0,addition(multiplication(zero,sK0),multiplication(addition(sK0,c(sK0)),one))))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4929,f1074]) ).
fof(f4931,plain,
( one != addition(sK0,addition(addition(multiplication(zero,sK0),multiplication(addition(sK0,c(sK0)),one)),multiplication(c(sK0),zero)))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4930,f103]) ).
fof(f4932,plain,
( one != addition(sK0,addition(multiplication(c(sK0),zero),addition(multiplication(zero,sK0),multiplication(addition(sK0,c(sK0)),one))))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4931,f43]) ).
fof(f4933,plain,
( one != addition(sK0,addition(multiplication(zero,sK0),addition(multiplication(addition(sK0,c(sK0)),one),multiplication(c(sK0),zero))))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4932,f103]) ).
fof(f4934,plain,
( one != addition(sK0,addition(multiplication(zero,sK0),addition(multiplication(c(sK0),zero),multiplication(addition(sK0,c(sK0)),one))))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4933,f43]) ).
fof(f4935,plain,
( one != addition(sK0,addition(multiplication(zero,sK0),addition(multiplication(c(sK0),addition(zero,one)),multiplication(sK0,one))))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4934,f2152]) ).
fof(f4936,plain,
( one != addition(sK0,addition(multiplication(zero,sK0),addition(multiplication(sK0,one),multiplication(c(sK0),addition(zero,one)))))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4935,f43]) ).
fof(f4937,plain,
( one != addition(sK0,addition(multiplication(zero,sK0),addition(multiplication(sK0,one),multiplication(c(sK0),one))))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4936,f71]) ).
fof(f4938,plain,
( one != addition(sK0,addition(multiplication(zero,sK0),multiplication(addition(sK0,c(sK0)),one)))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4937,f39]) ).
fof(f4939,plain,
( one != addition(sK0,addition(multiplication(zero,sK0),addition(sK0,c(sK0))))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4938,f57]) ).
fof(f4940,plain,
( one != addition(multiplication(zero,sK0),addition(sK0,c(sK0)))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4939,f571]) ).
fof(f4941,plain,
( one != addition(c(sK0),addition(multiplication(zero,sK0),sK0))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4940,f103]) ).
fof(f4942,plain,
( one != addition(sK0,addition(c(sK0),multiplication(zero,sK0)))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4941,f103]) ).
fof(f4943,plain,
( one != addition(one,multiplication(zero,sK0))
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4942,f426]) ).
fof(f4944,plain,
( one != addition(one,zero)
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_demodulation,[],[f4943,f58]) ).
fof(f4945,plain,
( $false
| ~ spl3_7
| ~ spl3_26 ),
inference(forward_subsumption_resolution,[],[f4944,f60]) ).
fof(f4946,plain,
( ~ spl3_7
| ~ spl3_26 ),
inference(avatar_contradiction_clause,[],[f4945]) ).
cnf(s5,plain,
( ~ spl3_6
| spl3_7 ),
inference(sat_conversion,[],[f1137]) ).
cnf(s13,plain,
spl3_6,
inference(sat_conversion,[],[f2533]) ).
cnf(s23,plain,
spl3_26,
inference(sat_conversion,[],[f4869]) ).
cnf(s27,plain,
( ~ spl3_7
| ~ spl3_26 ),
inference(sat_conversion,[],[f4946]) ).
cnf(s28,plain,
~ spl3_7,
inference(rat,[],[s27,s23]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s5,s28,s13]) ).
fof(f4947,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE010+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n019.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 12:58:34 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 4.28/1.62 % (3074289)Detected formulas, will run a generic FOF schedule.
% 4.28/1.62 % (3074295)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=2726233144:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.28/1.62 % (3074300)dis-21_1_sil=8000:lcm=predicate:random_seed=1703490398: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)
% 4.28/1.62 % (3074296)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=3690590902:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.28/1.62 % (3074299)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2849954278:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.28/1.62 % (3074298)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2495847250:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.28/1.62 % (3074297)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2170925724:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.28/1.62 % (3074294)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=2251003918:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.28/1.62 % (3074297)Refutation not found, incomplete strategy
% 4.28/1.62 % (3074297)------------------------------
% 4.28/1.62 % (3074297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.62 % (3074297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.62 % (3074297)CaDiCaL version: 2.1.3
% 4.28/1.62 % (3074297)Termination reason: Refutation not found, incomplete strategy
% 4.28/1.62 % (3074297)Time elapsed: 0.002 s
% 4.28/1.62 % (3074297)Peak memory usage: 88 MB
% 4.28/1.62 % (3074297)Instructions burned: 1 (million)
% 4.28/1.62 % (3074300)Refutation not found, incomplete strategy
% 4.28/1.62 % (3074300)------------------------------
% 4.28/1.62 % (3074300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.62 % (3074300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.62 % (3074300)CaDiCaL version: 2.1.3
% 4.28/1.62 % (3074300)Termination reason: Refutation not found, incomplete strategy
% 4.28/1.62 % (3074300)Time elapsed: 0.002 s
% 4.28/1.62 % (3074300)Peak memory usage: 88 MB
% 4.28/1.62 % (3074300)Instructions burned: 2 (million)
% 4.28/1.62 % (3074298)Instruction limit reached!
% 4.28/1.62 % (3074298)------------------------------
% 4.28/1.62 % (3074298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.62 % (3074298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.62 % (3074298)CaDiCaL version: 2.1.3
% 4.28/1.62 % (3074298)Termination reason: Instruction limit
% 4.28/1.62 % (3074298)Termination phase: Saturation
% 4.28/1.62 % (3074298)Time elapsed: 0.065 s
% 4.28/1.62 % (3074298)Peak memory usage: 88 MB
% 4.28/1.62 % (3074298)Instructions burned: 121 (million)
% 4.28/1.62 % (3074299)Instruction limit reached!
% 4.28/1.62 % (3074299)------------------------------
% 4.28/1.62 % (3074299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.62 % (3074299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.62 % (3074299)CaDiCaL version: 2.1.3
% 4.28/1.62 % (3074299)Termination reason: Instruction limit
% 4.28/1.62 % (3074299)Termination phase: Saturation
% 4.28/1.62 % (3074299)Time elapsed: 0.080 s
% 4.28/1.62 % (3074299)Peak memory usage: 90 MB
% 4.28/1.62 % (3074299)Instructions burned: 141 (million)
% 4.28/1.62 % (3074308)lrs+10_1_sil=8000:sp=occurrence:random_seed=1566835175:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.28/1.62 % (3074309)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3866922726:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.28/1.62 % (3074297)------------------------------
% 4.28/1.62 % (3074297)------------------------------
% 4.28/1.62 % (3074300)------------------------------
% 4.28/1.62 % (3074300)------------------------------
% 4.28/1.62 % (3074308)First to succeed.
% 4.28/1.62 % (3074308)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3074289"
% 4.28/1.62 % (3074309)Instruction limit reached!
% 4.28/1.62 % (3074309)------------------------------
% 4.28/1.62 % (3074309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.62 % (3074309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.62 % (3074309)CaDiCaL version: 2.1.3
% 4.28/1.62 % (3074309)Termination reason: Instruction limit
% 4.28/1.62 % (3074309)Termination phase: Saturation
% 4.28/1.62 % (3074309)Time elapsed: 0.098 s
% 4.28/1.62 % (3074309)Peak memory usage: 90 MB
% 4.28/1.62 % (3074309)Instructions burned: 157 (million)
% 4.28/1.62 % (3074313)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=3945965211:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.28/1.62 % (3074312)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3244920109:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.28/1.62 % (3074295)Also succeeded, but the first one will report.
% 4.28/1.62 % (3074314)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1123237358:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.28/1.62 % (3074312)Also succeeded, but the first one will report.
% 4.28/1.62 % (3074313)Instruction limit reached!
% 4.28/1.62 % (3074313)------------------------------
% 4.28/1.62 % (3074313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.28/1.62 % (3074313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.28/1.62 % (3074313)CaDiCaL version: 2.1.3
% 4.28/1.62 % (3074313)Termination reason: Instruction limit
% 4.28/1.62 % (3074313)Termination phase: Saturation
% 4.28/1.62 % (3074313)Time elapsed: 0.155 s
% 4.28/1.62 % (3074313)Peak memory usage: 91 MB
% 4.28/1.62 % (3074313)Instructions burned: 250 (million)
% 4.28/1.62 % (3074308)Refutation found. Thanks to Tanya!
% 4.28/1.62 % SZS status Theorem for theBenchmark
% 4.28/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 5.92/1.82 % (3074308)------------------------------
% 5.92/1.82 % (3074308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.82 % (3074308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.82 % (3074308)CaDiCaL version: 2.1.3
% 5.92/1.82 % (3074308)Termination reason: Refutation
% 5.92/1.82 % (3074308)Time elapsed: 0.104 s
% 5.92/1.82 % (3074308)Peak memory usage: 92 MB
% 5.92/1.82 % (3074308)Instructions burned: 168 (million)
% 5.92/1.82 % (3074308)------------------------------
% 5.92/1.82 % (3074308)------------------------------
% 5.92/1.82 % (3074289)Success in time 0.752 s
% 5.92/1.82 % Vampire exiting
%------------------------------------------------------------------------------