%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE016+2 : 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 : n004.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 11:40:03 AM UTC 2026
% Result : Theorem 6.41s 2.50s
% Output : Refutation 12.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 26
% Syntax : Number of formulae : 206 ( 127 unt; 12 def)
% Number of atoms : 352 ( 178 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 263 ( 117 ~; 112 |; 20 &)
% ( 11 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 127 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f13,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f17,conjecture,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
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] :
( c(multiplication(X0,X1)) != addition(c(X0),c(X1))
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1] :
( c(multiplication(X0,X1)) != addition(c(X0),c(X1))
& test(X1)
& test(X0) ),
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,
( c(multiplication(sK1,sK2)) != addition(c(sK1),c(sK2))
& test(sK2)
& test(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[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(f42,plain,
! [X0,X1] :
( ~ complement(X1,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(f46,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0)
| addition(X0,X1) != one ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
test(sK1),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
test(sK2),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
c(multiplication(sK1,sK2)) != addition(c(sK1),c(sK2)),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f47]) ).
fof(f54,definition,
sF3 = multiplication(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f55,plain,
multiplication(sK1,sK2) = sF3,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF4 = c(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f57,plain,
c(sF3) = sF4,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF5 = c(sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f59,plain,
c(sK1) = sF5,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF6 = c(sK2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f61,plain,
c(sK2) = sF6,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF7 = addition(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f63,plain,
addition(sF5,sF6) = sF7,
inference(reorient_equations,[],[f62]) ).
fof(f64,plain,
sF4 != sF7,
inference(definition_folding,[],[f52,f63,f61,f59,f57,f55]) ).
fof(f66,plain,
( complement(sK1,sF5)
| ~ test(sK1) ),
inference(superposition,[],[f53,f59]) ).
fof(f67,plain,
complement(sK1,sF5),
inference(forward_subsumption_resolution,[],[f66,f50]) ).
fof(f68,plain,
( complement(sK2,sF6)
| ~ test(sK2) ),
inference(superposition,[],[f53,f61]) ).
fof(f69,plain,
complement(sK2,sF6),
inference(forward_subsumption_resolution,[],[f68,f51]) ).
fof(f70,plain,
( complement(sF3,sF4)
| ~ test(sF3) ),
inference(superposition,[],[f53,f57]) ).
fof(f72,definition,
( spl8_1
<=> test(sF3) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f74,plain,
( ~ test(sF3)
| spl8_1 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f76,definition,
( spl8_2
<=> complement(sF3,sF4) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f78,plain,
( complement(sF3,sF4)
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,plain,
( ~ spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f70,f76,f72]) ).
fof(f90,plain,
one = addition(sF5,sK1),
inference(resolution,[],[f67,f43]) ).
fof(f91,plain,
one = addition(sF6,sK2),
inference(resolution,[],[f69,f43]) ).
fof(f109,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f38,f36]) ).
fof(f120,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f31,f37]) ).
fof(f121,plain,
! [X0] : addition(sF5,addition(sF6,X0)) = addition(sF7,X0),
inference(superposition,[],[f31,f63]) ).
fof(f122,plain,
! [X0] : addition(sF5,addition(sK1,X0)) = addition(one,X0),
inference(superposition,[],[f31,f90]) ).
fof(f135,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f31,f33]) ).
fof(f144,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f30,f32]) ).
fof(f152,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f37,f35]) ).
fof(f162,plain,
multiplication(sK1,addition(one,sK2)) = addition(sK1,sF3),
inference(superposition,[],[f152,f55]) ).
fof(f187,plain,
! [X0] : multiplication(sK1,multiplication(sK2,X0)) = multiplication(sF3,X0),
inference(superposition,[],[f34,f55]) ).
fof(f254,plain,
one = addition(sF5,one),
inference(superposition,[],[f135,f90]) ).
fof(f255,plain,
one = addition(sF6,one),
inference(superposition,[],[f135,f91]) ).
fof(f279,plain,
one = addition(one,sF6),
inference(superposition,[],[f30,f255]) ).
fof(f285,plain,
zero = multiplication(sK1,sF5),
inference(resolution,[],[f44,f67]) ).
fof(f286,plain,
zero = multiplication(sK2,sF6),
inference(resolution,[],[f44,f69]) ).
fof(f291,plain,
! [X0] : multiplication(addition(sK1,X0),sF5) = addition(zero,multiplication(X0,sF5)),
inference(superposition,[],[f38,f285]) ).
fof(f296,plain,
! [X0] : multiplication(X0,sF5) = multiplication(addition(sK1,X0),sF5),
inference(forward_demodulation,[],[f291,f144]) ).
fof(f305,plain,
! [X0] : multiplication(sK2,addition(X0,sF6)) = addition(multiplication(sK2,X0),zero),
inference(superposition,[],[f37,f286]) ).
fof(f314,plain,
! [X0] : multiplication(sK2,X0) = multiplication(sK2,addition(X0,sF6)),
inference(forward_demodulation,[],[f305,f32]) ).
fof(f320,plain,
zero = multiplication(sF5,sK1),
inference(resolution,[],[f45,f67]) ).
fof(f321,plain,
zero = multiplication(sF6,sK2),
inference(resolution,[],[f45,f69]) ).
fof(f322,plain,
! [X0] : multiplication(zero,X0) = multiplication(sF5,multiplication(sK1,X0)),
inference(superposition,[],[f34,f320]) ).
fof(f335,plain,
! [X0] : zero = multiplication(sF5,multiplication(sK1,X0)),
inference(forward_demodulation,[],[f322,f40]) ).
fof(f339,plain,
! [X0] : multiplication(sF6,addition(sK2,X0)) = addition(zero,multiplication(sF6,X0)),
inference(superposition,[],[f37,f321]) ).
fof(f342,plain,
! [X0] : multiplication(addition(sF6,X0),sK2) = addition(zero,multiplication(X0,sK2)),
inference(superposition,[],[f38,f321]) ).
fof(f347,plain,
! [X0] : multiplication(X0,sK2) = multiplication(addition(sF6,X0),sK2),
inference(forward_demodulation,[],[f342,f144]) ).
fof(f350,plain,
! [X0] : multiplication(sF6,X0) = multiplication(sF6,addition(sK2,X0)),
inference(forward_demodulation,[],[f339,f144]) ).
fof(f447,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f120,f38]) ).
fof(f529,plain,
! [X0,X1] : addition(multiplication(X0,sF5),multiplication(addition(X0,X1),sK1)) = addition(multiplication(X0,one),multiplication(X1,sK1)),
inference(superposition,[],[f447,f90]) ).
fof(f531,plain,
! [X0,X1] : addition(multiplication(X0,sF6),multiplication(addition(X0,X1),sK2)) = addition(multiplication(X0,one),multiplication(X1,sK2)),
inference(superposition,[],[f447,f91]) ).
fof(f615,plain,
! [X0,X1] : addition(multiplication(X0,sF6),multiplication(addition(X0,X1),sK2)) = addition(X0,multiplication(X1,sK2)),
inference(forward_demodulation,[],[f531,f35]) ).
fof(f617,plain,
! [X0,X1] : addition(multiplication(X0,sF5),multiplication(addition(X0,X1),sK1)) = addition(X0,multiplication(X1,sK1)),
inference(forward_demodulation,[],[f529,f35]) ).
fof(f680,plain,
! [X0] : addition(X0,multiplication(X0,sK1)) = addition(multiplication(X0,sF5),multiplication(X0,sK1)),
inference(superposition,[],[f617,f33]) ).
fof(f734,plain,
! [X0] : multiplication(X0,addition(sF5,sK1)) = addition(X0,multiplication(X0,sK1)),
inference(forward_demodulation,[],[f680,f37]) ).
fof(f751,plain,
! [X0] : multiplication(X0,addition(sF5,sK1)) = multiplication(X0,addition(one,sK1)),
inference(forward_demodulation,[],[f734,f152]) ).
fof(f762,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,addition(one,sK1)),
inference(forward_demodulation,[],[f751,f90]) ).
fof(f768,plain,
! [X0] : multiplication(X0,addition(one,sK1)) = X0,
inference(forward_demodulation,[],[f762,f35]) ).
fof(f773,plain,
! [X0] : addition(X0,multiplication(X0,sK2)) = addition(multiplication(X0,sF6),multiplication(X0,sK2)),
inference(superposition,[],[f615,f33]) ).
fof(f832,plain,
! [X0] : multiplication(X0,addition(sF6,sK2)) = addition(X0,multiplication(X0,sK2)),
inference(forward_demodulation,[],[f773,f37]) ).
fof(f852,plain,
! [X0] : multiplication(X0,addition(sF6,sK2)) = multiplication(X0,addition(one,sK2)),
inference(forward_demodulation,[],[f832,f152]) ).
fof(f866,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,addition(one,sK2)),
inference(forward_demodulation,[],[f852,f91]) ).
fof(f873,plain,
! [X0] : multiplication(X0,addition(one,sK2)) = X0,
inference(forward_demodulation,[],[f866,f35]) ).
fof(f984,definition,
( spl8_13
<=> zero = multiplication(sF6,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_13])],[avatar_definition]) ).
fof(f985,plain,
( zero = multiplication(sF6,sF3)
| ~ spl8_13 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f996,plain,
addition(sF5,one) = addition(sF7,sK2),
inference(superposition,[],[f121,f91]) ).
fof(f1000,plain,
! [X0] : addition(sF7,X0) = addition(sF5,addition(X0,sF6)),
inference(superposition,[],[f121,f30]) ).
fof(f1016,plain,
one = addition(sF7,sK2),
inference(forward_demodulation,[],[f996,f254]) ).
fof(f1025,plain,
addition(sF7,multiplication(sK2,sK2)) = addition(multiplication(sF7,sF6),multiplication(one,sK2)),
inference(superposition,[],[f615,f1016]) ).
fof(f1028,plain,
addition(sF7,multiplication(sK2,sK2)) = addition(multiplication(sF7,sF6),sK2),
inference(forward_demodulation,[],[f1025,f36]) ).
fof(f1149,plain,
one = addition(one,sK1),
inference(superposition,[],[f36,f768]) ).
fof(f1183,plain,
addition(multiplication(one,sF6),multiplication(one,sK2)) = addition(one,multiplication(sK1,sK2)),
inference(superposition,[],[f615,f1149]) ).
fof(f1186,plain,
addition(multiplication(one,sF6),multiplication(one,sK2)) = addition(one,sF3),
inference(forward_demodulation,[],[f1183,f55]) ).
fof(f1189,plain,
multiplication(one,addition(sF6,sK2)) = addition(one,sF3),
inference(forward_demodulation,[],[f1186,f37]) ).
fof(f1191,plain,
addition(sF6,sK2) = addition(one,sF3),
inference(forward_demodulation,[],[f1189,f36]) ).
fof(f1192,plain,
one = addition(one,sF3),
inference(forward_demodulation,[],[f1191,f91]) ).
fof(f1406,plain,
sK1 = addition(sK1,sF3),
inference(superposition,[],[f873,f162]) ).
fof(f1634,plain,
multiplication(one,sK2) = multiplication(sK2,sK2),
inference(superposition,[],[f347,f91]) ).
fof(f1667,plain,
sK2 = multiplication(sK2,sK2),
inference(forward_demodulation,[],[f1634,f36]) ).
fof(f1679,plain,
multiplication(sK1,sK2) = multiplication(sF3,sK2),
inference(superposition,[],[f187,f1667]) ).
fof(f1703,plain,
sF3 = multiplication(sF3,sK2),
inference(forward_demodulation,[],[f1679,f55]) ).
fof(f1729,plain,
addition(sK2,sF3) = multiplication(addition(one,sF3),sK2),
inference(superposition,[],[f109,f1703]) ).
fof(f1735,plain,
multiplication(one,sK2) = addition(sK2,sF3),
inference(forward_demodulation,[],[f1729,f1192]) ).
fof(f1741,plain,
sK2 = addition(sK2,sF3),
inference(forward_demodulation,[],[f1735,f36]) ).
fof(f1777,plain,
multiplication(sK1,sF5) = multiplication(sF3,sF5),
inference(superposition,[],[f296,f1406]) ).
fof(f1809,plain,
zero = multiplication(sF3,sF5),
inference(forward_demodulation,[],[f1777,f285]) ).
fof(f1852,definition,
( spl8_25
<=> zero = multiplication(sF5,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_25])],[avatar_definition]) ).
fof(f1853,plain,
( zero = multiplication(sF5,sF3)
| ~ spl8_25 ),
inference(avatar_component_clause,[],[f1852]) ).
fof(f2672,plain,
zero = multiplication(sF5,sF3),
inference(superposition,[],[f335,f55]) ).
fof(f2704,plain,
spl8_25,
inference(avatar_split_clause,[],[f2672,f1852]) ).
fof(f2981,plain,
multiplication(sK2,sF5) = multiplication(sK2,sF7),
inference(superposition,[],[f314,f63]) ).
fof(f3021,plain,
multiplication(sF3,sF7) = multiplication(sK1,multiplication(sK2,sF5)),
inference(superposition,[],[f187,f2981]) ).
fof(f3045,plain,
multiplication(sF3,sF5) = multiplication(sF3,sF7),
inference(forward_demodulation,[],[f3021,f187]) ).
fof(f3051,plain,
zero = multiplication(sF3,sF7),
inference(forward_demodulation,[],[f3045,f1809]) ).
fof(f3089,definition,
( spl8_29
<=> one = addition(sF7,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_29])],[avatar_definition]) ).
fof(f3090,plain,
( one = addition(sF7,sF3)
| ~ spl8_29 ),
inference(avatar_component_clause,[],[f3089]) ).
fof(f3091,plain,
( one != addition(sF7,sF3)
| spl8_29 ),
inference(avatar_component_clause,[],[f3089]) ).
fof(f3097,definition,
( spl8_31
<=> zero = multiplication(sF7,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_31])],[avatar_definition]) ).
fof(f3098,plain,
( zero = multiplication(sF7,sF3)
| ~ spl8_31 ),
inference(avatar_component_clause,[],[f3097]) ).
fof(f3099,plain,
( zero != multiplication(sF7,sF3)
| spl8_31 ),
inference(avatar_component_clause,[],[f3097]) ).
fof(f3668,plain,
addition(one,sF6) = addition(sF7,sK1),
inference(superposition,[],[f1000,f122]) ).
fof(f3691,plain,
one = addition(sF7,sK1),
inference(forward_demodulation,[],[f3668,f279]) ).
fof(f3720,plain,
addition(multiplication(sF7,sF6),multiplication(one,sK2)) = addition(sF7,multiplication(sK1,sK2)),
inference(superposition,[],[f615,f3691]) ).
fof(f3723,plain,
addition(multiplication(sF7,sF6),multiplication(one,sK2)) = addition(sF7,sF3),
inference(forward_demodulation,[],[f3720,f55]) ).
fof(f3728,plain,
addition(multiplication(sF7,sF6),sK2) = addition(sF7,sF3),
inference(forward_demodulation,[],[f3723,f36]) ).
fof(f3730,plain,
addition(sF7,multiplication(sK2,sK2)) = addition(sF7,sF3),
inference(forward_demodulation,[],[f3728,f1028]) ).
fof(f3732,plain,
addition(sF7,sK2) = addition(sF7,sF3),
inference(forward_demodulation,[],[f3730,f1667]) ).
fof(f3734,plain,
one = addition(sF7,sF3),
inference(forward_demodulation,[],[f3732,f1016]) ).
fof(f3736,plain,
( $false
| spl8_29 ),
inference(forward_subsumption_resolution,[],[f3734,f3091]) ).
fof(f3737,plain,
spl8_29,
inference(avatar_contradiction_clause,[],[f3736]) ).
fof(f3870,plain,
( one = addition(sF3,sF7)
| ~ spl8_29 ),
inference(superposition,[],[f30,f3090]) ).
fof(f4135,plain,
multiplication(sF6,sK2) = multiplication(sF6,sF3),
inference(superposition,[],[f350,f1741]) ).
fof(f4172,plain,
zero = multiplication(sF6,sF3),
inference(forward_demodulation,[],[f4135,f321]) ).
fof(f4183,plain,
spl8_13,
inference(avatar_split_clause,[],[f4172,f984]) ).
fof(f6596,plain,
( ! [X0] : multiplication(addition(sF5,X0),sF3) = addition(zero,multiplication(X0,sF3))
| ~ spl8_25 ),
inference(superposition,[],[f38,f1853]) ).
fof(f6614,plain,
( ! [X0] : multiplication(X0,sF3) = multiplication(addition(sF5,X0),sF3)
| ~ spl8_25 ),
inference(forward_demodulation,[],[f6596,f144]) ).
fof(f6638,plain,
( multiplication(sF6,sF3) = multiplication(sF7,sF3)
| ~ spl8_25 ),
inference(superposition,[],[f6614,f63]) ).
fof(f6677,plain,
( zero = multiplication(sF7,sF3)
| ~ spl8_13
| ~ spl8_25 ),
inference(forward_demodulation,[],[f6638,f985]) ).
fof(f6688,plain,
( $false
| ~ spl8_13
| ~ spl8_25
| spl8_31 ),
inference(forward_subsumption_resolution,[],[f6677,f3099]) ).
fof(f6689,plain,
( ~ spl8_13
| ~ spl8_25
| spl8_31 ),
inference(avatar_contradiction_clause,[],[f6688]) ).
fof(f6700,plain,
( ! [X0] : multiplication(sF7,addition(sF3,X0)) = addition(zero,multiplication(sF7,X0))
| ~ spl8_31 ),
inference(superposition,[],[f37,f3098]) ).
fof(f6704,plain,
( zero != zero
| zero != multiplication(sF3,sF7)
| complement(sF7,sF3)
| one != addition(sF3,sF7)
| ~ spl8_31 ),
inference(superposition,[],[f46,f3098]) ).
fof(f6712,plain,
( zero != multiplication(sF3,sF7)
| complement(sF7,sF3)
| one != addition(sF3,sF7)
| ~ spl8_31 ),
inference(trivial_inequality_removal,[],[f6704]) ).
fof(f6720,plain,
( complement(sF7,sF3)
| one != addition(sF3,sF7)
| ~ spl8_31 ),
inference(forward_subsumption_resolution,[],[f6712,f3051]) ).
fof(f6724,plain,
( ! [X0] : multiplication(sF7,X0) = multiplication(sF7,addition(sF3,X0))
| ~ spl8_31 ),
inference(forward_demodulation,[],[f6700,f144]) ).
fof(f6730,plain,
( complement(sF7,sF3)
| ~ spl8_29
| ~ spl8_31 ),
inference(forward_subsumption_resolution,[],[f6720,f3870]) ).
fof(f6733,plain,
( test(sF3)
| ~ spl8_29
| ~ spl8_31 ),
inference(resolution,[],[f6730,f42]) ).
fof(f6747,plain,
( $false
| spl8_1
| ~ spl8_29
| ~ spl8_31 ),
inference(forward_subsumption_resolution,[],[f6733,f74]) ).
fof(f6748,plain,
( spl8_1
| ~ spl8_29
| ~ spl8_31 ),
inference(avatar_contradiction_clause,[],[f6747]) ).
fof(f6751,plain,
( zero = multiplication(sF3,sF4)
| ~ spl8_2 ),
inference(resolution,[],[f78,f44]) ).
fof(f6753,plain,
( one = addition(sF4,sF3)
| ~ spl8_2 ),
inference(resolution,[],[f78,f43]) ).
fof(f6784,definition,
( spl8_50
<=> one = addition(sF3,sF4) ),
introduced(definition,[new_symbols(definition,[spl8_50])],[avatar_definition]) ).
fof(f6785,plain,
( one = addition(sF3,sF4)
| ~ spl8_50 ),
inference(avatar_component_clause,[],[f6784]) ).
fof(f6786,plain,
( one != addition(sF3,sF4)
| spl8_50 ),
inference(avatar_component_clause,[],[f6784]) ).
fof(f6796,plain,
( one = addition(sF3,sF4)
| ~ spl8_2 ),
inference(superposition,[],[f30,f6753]) ).
fof(f6814,plain,
( $false
| ~ spl8_2
| spl8_50 ),
inference(forward_subsumption_resolution,[],[f6796,f6786]) ).
fof(f6815,plain,
( ~ spl8_2
| spl8_50 ),
inference(avatar_contradiction_clause,[],[f6814]) ).
fof(f6831,plain,
( ! [X0] : multiplication(addition(X0,sF3),sF4) = addition(multiplication(X0,sF4),zero)
| ~ spl8_2 ),
inference(superposition,[],[f38,f6751]) ).
fof(f6850,plain,
( ! [X0] : multiplication(X0,sF4) = multiplication(addition(X0,sF3),sF4)
| ~ spl8_2 ),
inference(forward_demodulation,[],[f6831,f32]) ).
fof(f7652,plain,
( multiplication(sF7,one) = multiplication(sF7,sF4)
| ~ spl8_31
| ~ spl8_50 ),
inference(superposition,[],[f6724,f6785]) ).
fof(f7696,plain,
( sF7 = multiplication(sF7,sF4)
| ~ spl8_31
| ~ spl8_50 ),
inference(forward_demodulation,[],[f7652,f35]) ).
fof(f7839,plain,
( multiplication(one,sF4) = multiplication(sF7,sF4)
| ~ spl8_2
| ~ spl8_29 ),
inference(superposition,[],[f6850,f3090]) ).
fof(f7865,plain,
( sF7 = multiplication(one,sF4)
| ~ spl8_2
| ~ spl8_29
| ~ spl8_31
| ~ spl8_50 ),
inference(forward_demodulation,[],[f7839,f7696]) ).
fof(f7878,plain,
( sF4 = sF7
| ~ spl8_2
| ~ spl8_29
| ~ spl8_31
| ~ spl8_50 ),
inference(forward_demodulation,[],[f7865,f36]) ).
fof(f7884,plain,
( $false
| ~ spl8_2
| ~ spl8_29
| ~ spl8_31
| ~ spl8_50 ),
inference(forward_subsumption_resolution,[],[f7878,f64]) ).
fof(f7885,plain,
( ~ spl8_2
| ~ spl8_29
| ~ spl8_31
| ~ spl8_50 ),
inference(avatar_contradiction_clause,[],[f7884]) ).
cnf(s1,plain,
( ~ spl8_1
| spl8_2 ),
inference(sat_conversion,[],[f79]) ).
cnf(s10,plain,
spl8_25,
inference(sat_conversion,[],[f2704]) ).
cnf(s16,plain,
spl8_29,
inference(sat_conversion,[],[f3737]) ).
cnf(s19,plain,
spl8_13,
inference(sat_conversion,[],[f4183]) ).
cnf(s27,plain,
( ~ spl8_13
| ~ spl8_25
| spl8_31 ),
inference(sat_conversion,[],[f6689]) ).
cnf(s29,plain,
( spl8_1
| ~ spl8_29
| ~ spl8_31 ),
inference(sat_conversion,[],[f6748]) ).
cnf(s31,plain,
( ~ spl8_2
| spl8_50 ),
inference(sat_conversion,[],[f6815]) ).
cnf(s36,plain,
( ~ spl8_2
| ~ spl8_29
| ~ spl8_31
| ~ spl8_50 ),
inference(sat_conversion,[],[f7885]) ).
cnf(s38,plain,
spl8_31,
inference(rat,[],[s27,s19,s10]) ).
cnf(s39,plain,
spl8_1,
inference(rat,[],[s29,s16,s38]) ).
cnf(s45,plain,
spl8_2,
inference(rat,[],[s1,s39]) ).
cnf(s46,plain,
~ spl8_50,
inference(rat,[],[s36,s38,s16,s45]) ).
cnf(s47,plain,
$false,
inference(rat,[],[s31,s46,s45]) ).
fof(f7889,plain,
$false,
inference(avatar_sat_refutation,[],[s47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE016+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 12:59:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 6.41/2.50 % (3499064)Detected formulas, will run a generic FOF schedule.
% 6.41/2.50 % (3499073)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1504142934:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.41/2.50 % (3499073)Instruction limit reached!
% 6.41/2.50 % (3499073)------------------------------
% 6.41/2.50 % (3499073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.50 % (3499073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.50 % (3499073)CaDiCaL version: 2.1.3
% 6.41/2.50 % (3499073)Termination reason: Instruction limit
% 6.41/2.50 % (3499073)Termination phase: Saturation
% 6.41/2.50 % (3499073)Time elapsed: 0.037 s
% 6.41/2.50 % (3499073)Peak memory usage: 88 MB
% 6.41/2.50 % (3499073)Instructions burned: 121 (million)
% 6.41/2.50 % (3499075)dis-21_1_sil=8000:lcm=predicate:random_seed=4057530382: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)
% 6.41/2.50 % (3499071)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=1959351728:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.41/2.50 % (3499072)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1102350266:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.41/2.50 % (3499069)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=3943889909:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.41/2.50 % (3499070)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=3993639781:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.41/2.50 % (3499074)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2820793713:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.41/2.50 % (3499072)Refutation not found, incomplete strategy
% 6.41/2.50 % (3499072)------------------------------
% 6.41/2.50 % (3499072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.50 % (3499072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.50 % (3499072)CaDiCaL version: 2.1.3
% 6.41/2.50 % (3499072)Termination reason: Refutation not found, incomplete strategy
% 6.41/2.50 % (3499072)Time elapsed: 0.001 s
% 6.41/2.50 % (3499072)Peak memory usage: 88 MB
% 6.41/2.50 % (3499075)Refutation not found, incomplete strategy
% 6.41/2.50 % (3499075)------------------------------
% 6.41/2.50 % (3499075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.50 % (3499075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.50 % (3499075)CaDiCaL version: 2.1.3
% 6.41/2.50 % (3499075)Termination reason: Refutation not found, incomplete strategy
% 6.41/2.50 % (3499075)Time elapsed: 0.002 s
% 6.41/2.50 % (3499075)Peak memory usage: 88 MB
% 6.41/2.50 % (3499075)Instructions burned: 2 (million)
% 6.41/2.50 % (3499074)Instruction limit reached!
% 6.41/2.50 % (3499074)------------------------------
% 6.41/2.50 % (3499074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.50 % (3499074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.50 % (3499074)CaDiCaL version: 2.1.3
% 6.41/2.50 % (3499074)Termination reason: Instruction limit
% 6.41/2.50 % (3499074)Termination phase: Saturation
% 6.41/2.50 % (3499074)Time elapsed: 0.081 s
% 6.41/2.50 % (3499074)Peak memory usage: 90 MB
% 6.41/2.50 % (3499074)Instructions burned: 140 (million)
% 6.41/2.50 % (3499083)lrs+10_1_sil=8000:sp=occurrence:random_seed=1238209077:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.41/2.50 % (3499083)Instruction limit reached!
% 6.41/2.50 % (3499083)------------------------------
% 6.41/2.50 % (3499083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.50 % (3499083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.50 % (3499083)CaDiCaL version: 2.1.3
% 6.41/2.50 % (3499083)Termination reason: Instruction limit
% 6.41/2.50 % (3499083)Termination phase: Saturation
% 6.41/2.50 % (3499083)Time elapsed: 0.092 s
% 6.41/2.50 % (3499083)Peak memory usage: 91 MB
% 6.41/2.50 % (3499083)Instructions burned: 285 (million)
% 6.41/2.50 % (3499075)------------------------------
% 6.41/2.50 % (3499075)------------------------------
% 6.41/2.50 % (3499084)lrs+10_1_sil=32000:urr=on:br=off:random_seed=12057664:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.41/2.50 % (3499072)------------------------------
% 6.41/2.50 % (3499072)------------------------------
% 6.41/2.50 % (3499084)Instruction limit reached!
% 6.41/2.50 % (3499084)------------------------------
% 6.41/2.50 % (3499084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.50 % (3499084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.50 % (3499084)CaDiCaL version: 2.1.3
% 6.41/2.50 % (3499084)Termination reason: Instruction limit
% 6.41/2.50 % (3499084)Termination phase: Saturation
% 6.41/2.50 % (3499084)Time elapsed: 0.087 s
% 6.41/2.50 % (3499084)Peak memory usage: 89 MB
% 6.41/2.50 % (3499084)Instructions burned: 158 (million)
% 6.41/2.50 % (3499086)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1549113492:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.41/2.50 % (3499088)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=1198853110:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.41/2.50 % (3499089)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1582586094:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.41/2.50 % (3499086)Instruction limit reached!
% 6.41/2.50 % (3499086)------------------------------
% 6.41/2.50 % (3499086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.50 % (3499086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.50 % (3499086)CaDiCaL version: 2.1.3
% 6.41/2.50 % (3499086)Termination reason: Instruction limit
% 6.41/2.50 % (3499086)Termination phase: Saturation
% 6.41/2.50 % (3499086)Time elapsed: 0.101 s
% 6.41/2.50 % (3499086)Peak memory usage: 91 MB
% 6.41/2.50 % (3499086)Instructions burned: 327 (million)
% 6.41/2.50 % (3499091)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2424026935:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.41/2.50 % (3499088)Instruction limit reached!
% 6.41/2.50 % (3499088)------------------------------
% 6.41/2.50 % (3499088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.50 % (3499088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.50 % (3499088)CaDiCaL version: 2.1.3
% 6.41/2.50 % (3499088)Termination reason: Instruction limit
% 6.41/2.50 % (3499088)Termination phase: Saturation
% 6.41/2.50 % (3499088)Time elapsed: 0.151 s
% 6.41/2.50 % (3499088)Peak memory usage: 91 MB
% 6.41/2.50 % (3499088)Instructions burned: 249 (million)
% 6.41/2.50 % (3499094)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1130873782:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.41/2.50 % (3499089)Instruction limit reached!
% 6.41/2.50 % (3499089)------------------------------
% 6.41/2.50 % (3499089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.50 % (3499089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.50 % (3499089)CaDiCaL version: 2.1.3
% 6.41/2.50 % (3499089)Termination reason: Instruction limit
% 6.41/2.50 % (3499089)Termination phase: Saturation
% 6.41/2.50 % (3499089)Time elapsed: 0.168 s
% 6.41/2.50 % (3499089)Peak memory usage: 89 MB
% 6.41/2.50 % (3499089)Instructions burned: 296 (million)
% 6.41/2.50 % (3499094)Instruction limit reached!
% 6.41/2.50 % (3499094)------------------------------
% 6.41/2.50 % (3499094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.50 % (3499094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.50 % (3499094)CaDiCaL version: 2.1.3
% 6.41/2.50 % (3499094)Termination reason: Instruction limit
% 6.41/2.50 % (3499094)Termination phase: Saturation
% 6.41/2.50 % (3499094)Time elapsed: 0.044 s
% 6.41/2.50 % (3499094)Peak memory usage: 90 MB
% 6.41/2.50 % (3499094)Instructions burned: 116 (million)
% 6.41/2.50 % (3499097)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2462104641:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.41/2.50 % (3499098)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3003563832:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.41/2.50 % (3499097)Instruction limit reached!
% 6.41/2.50 % (3499097)------------------------------
% 6.41/2.50 % (3499097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.50 % (3499097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.50 % (3499097)CaDiCaL version: 2.1.3
% 6.41/2.50 % (3499097)Termination reason: Instruction limit
% 6.41/2.50 % (3499097)Termination phase: Saturation
% 6.41/2.50 % (3499097)Time elapsed: 0.061 s
% 6.41/2.50 % (3499097)Peak memory usage: 89 MB
% 6.41/2.50 % (3499097)Instructions burned: 127 (million)
% 6.41/2.50 % (3499099)lrs+10_1_sil=8000:sp=occurrence:random_seed=1577909563:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.41/2.50 % (3499098)Instruction limit reached!
% 6.41/2.50 % (3499098)------------------------------
% 6.41/2.50 % (3499098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.50 % (3499098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.50 % (3499098)CaDiCaL version: 2.1.3
% 6.41/2.50 % (3499098)Termination reason: Instruction limit
% 6.41/2.50 % (3499098)Termination phase: Saturation
% 6.41/2.50 % (3499098)Time elapsed: 0.065 s
% 6.41/2.50 % (3499098)Peak memory usage: 89 MB
% 6.41/2.50 % (3499098)Instructions burned: 115 (million)
% 6.41/2.50 % (3499103)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1916521308:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.41/2.50 % (3499104)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4146862897:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.41/2.50 % (3499099)Instruction limit reached!
% 6.41/2.50 % (3499099)------------------------------
% 6.41/2.50 % (3499099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.50 % (3499099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.50 % (3499099)CaDiCaL version: 2.1.3
% 6.41/2.50 % (3499099)Termination reason: Instruction limit
% 6.41/2.50 % (3499099)Termination phase: Saturation
% 6.41/2.50 % (3499099)Time elapsed: 0.314 s
% 6.41/2.50 % (3499099)Peak memory usage: 95 MB
% 6.41/2.50 % (3499099)Instructions burned: 908 (million)
% 6.41/2.50 % (3499103)Instruction limit reached!
% 6.41/2.50 % (3499103)------------------------------
% 6.41/2.50 % (3499103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.50 % (3499103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.50 % (3499103)CaDiCaL version: 2.1.3
% 6.41/2.50 % (3499103)Termination reason: Instruction limit
% 6.41/2.50 % (3499103)Termination phase: Saturation
% 6.41/2.50 % (3499103)Time elapsed: 0.242 s
% 6.41/2.50 % (3499103)Peak memory usage: 90 MB
% 6.41/2.50 % (3499103)Instructions burned: 438 (million)
% 6.41/2.50 % (3499107)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1467822342:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 6.41/2.50 % (3499069)First to succeed.
% 6.41/2.50 % (3499069)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3499064"
% 6.41/2.50 % (3499107)Instruction limit reached!
% 6.41/2.50 % (3499107)------------------------------
% 6.41/2.50 % (3499107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.50 % (3499107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.50 % (3499107)CaDiCaL version: 2.1.3
% 6.41/2.50 % (3499107)Termination reason: Instruction limit
% 6.41/2.50 % (3499107)Termination phase: Saturation
% 6.41/2.50 % (3499107)Time elapsed: 0.039 s
% 6.41/2.50 % (3499107)Peak memory usage: 90 MB
% 6.41/2.50 % (3499107)Instructions burned: 135 (million)
% 6.41/2.50 % (3499108)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4264954314:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 6.41/2.50 % (3499110)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=194970075:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 6.41/2.50 % (3499069)Refutation found. Thanks to Tanya!
% 6.41/2.50 % SZS status Theorem for theBenchmark
% 6.41/2.50 % SZS output start Proof for theBenchmark
% See solution above
% 12.37/2.72 % (3499069)------------------------------
% 12.37/2.72 % (3499069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.72 % (3499069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.72 % (3499069)CaDiCaL version: 2.1.3
% 12.37/2.72 % (3499069)Termination reason: Refutation
% 12.37/2.72 % (3499069)Time elapsed: 1.232 s
% 12.37/2.72 % (3499069)Peak memory usage: 137 MB
% 12.37/2.72 % (3499069)Instructions burned: 1888 (million)
% 12.37/2.72 % (3499069)------------------------------
% 12.37/2.72 % (3499069)------------------------------
% 12.37/2.72 % (3499064)Success in time 1.66 s
% 12.37/2.72 % Vampire exiting
%------------------------------------------------------------------------------