%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE014+2 : 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 : n011.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 11.61s 2.58s
% Output : Refutation 12.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 27
% Syntax : Number of formulae : 247 ( 146 unt; 12 def)
% Number of atoms : 431 ( 221 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 340 ( 156 ~; 150 |; 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 : 162 ( 0 sgn 155 !; 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(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).
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(f17,conjecture,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> c(addition(X0,X1)) = multiplication(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(addition(X0,X1)) != multiplication(c(X0),c(X1))
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1] :
( c(addition(X0,X1)) != multiplication(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(addition(sK1,sK2)) != multiplication(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(f39,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
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(addition(sK1,sK2)) != multiplication(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 = addition(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f55,plain,
addition(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 = multiplication(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f63,plain,
multiplication(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(f80,plain,
! [X0] : multiplication(addition(sF5,X0),sF6) = addition(sF7,multiplication(X0,sF6)),
inference(superposition,[],[f38,f63]) ).
fof(f90,plain,
one = addition(sF5,sK1),
inference(resolution,[],[f67,f43]) ).
fof(f91,plain,
one = addition(sF6,sK2),
inference(resolution,[],[f69,f43]) ).
fof(f92,plain,
! [X0] : multiplication(sF5,addition(sF6,X0)) = addition(sF7,multiplication(sF5,X0)),
inference(superposition,[],[f37,f63]) ).
fof(f93,plain,
! [X0] : multiplication(sF5,addition(X0,sF6)) = addition(multiplication(sF5,X0),sF7),
inference(superposition,[],[f37,f63]) ).
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(sK1,addition(sK2,X0)) = addition(sF3,X0),
inference(superposition,[],[f31,f55]) ).
fof(f122,plain,
! [X0] : addition(sF5,addition(sK1,X0)) = addition(one,X0),
inference(superposition,[],[f31,f90]) ).
fof(f133,plain,
! [X0] : addition(sF3,X0) = addition(sK1,addition(X0,sK2)),
inference(superposition,[],[f121,f30]) ).
fof(f137,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f37,f35]) ).
fof(f138,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f37,f35]) ).
fof(f146,plain,
! [X0] : multiplication(sF5,multiplication(sF6,X0)) = multiplication(sF7,X0),
inference(superposition,[],[f34,f63]) ).
fof(f164,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f31,f33]) ).
fof(f165,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f31,f33]) ).
fof(f175,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f30,f32]) ).
fof(f229,plain,
zero = multiplication(sK1,sF5),
inference(resolution,[],[f44,f67]) ).
fof(f230,plain,
zero = multiplication(sK2,sF6),
inference(resolution,[],[f44,f69]) ).
fof(f231,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK1,multiplication(sF5,X0)),
inference(superposition,[],[f34,f229]) ).
fof(f244,plain,
! [X0] : zero = multiplication(sK1,multiplication(sF5,X0)),
inference(forward_demodulation,[],[f231,f40]) ).
fof(f246,plain,
! [X0] : multiplication(sK2,addition(sF6,X0)) = addition(zero,multiplication(sK2,X0)),
inference(superposition,[],[f37,f230]) ).
fof(f257,plain,
! [X0] : multiplication(sK2,X0) = multiplication(sK2,addition(sF6,X0)),
inference(forward_demodulation,[],[f246,f175]) ).
fof(f260,plain,
zero = multiplication(sF5,sK1),
inference(resolution,[],[f45,f67]) ).
fof(f261,plain,
zero = multiplication(sF6,sK2),
inference(resolution,[],[f45,f69]) ).
fof(f266,plain,
! [X0] : multiplication(addition(sF5,X0),sK1) = addition(zero,multiplication(X0,sK1)),
inference(superposition,[],[f38,f260]) ).
fof(f271,plain,
! [X0] : multiplication(X0,sK1) = multiplication(addition(sF5,X0),sK1),
inference(forward_demodulation,[],[f266,f175]) ).
fof(f280,plain,
! [X0] : multiplication(addition(sF6,X0),sK2) = addition(zero,multiplication(X0,sK2)),
inference(superposition,[],[f38,f261]) ).
fof(f285,plain,
! [X0] : multiplication(X0,sK2) = multiplication(addition(sF6,X0),sK2),
inference(forward_demodulation,[],[f280,f175]) ).
fof(f301,plain,
sF3 = addition(sK1,sF3),
inference(superposition,[],[f164,f55]) ).
fof(f303,plain,
one = addition(sF5,one),
inference(superposition,[],[f164,f90]) ).
fof(f304,plain,
one = addition(sF6,one),
inference(superposition,[],[f164,f91]) ).
fof(f327,plain,
! [X0] : addition(one,X0) = addition(sF6,addition(one,X0)),
inference(superposition,[],[f31,f304]) ).
fof(f336,plain,
multiplication(sF5,addition(sF6,one)) = addition(sF7,sF5),
inference(superposition,[],[f92,f35]) ).
fof(f344,plain,
multiplication(sF5,one) = addition(sF7,sF5),
inference(forward_demodulation,[],[f336,f304]) ).
fof(f349,plain,
sF5 = addition(sF7,sF5),
inference(forward_demodulation,[],[f344,f35]) ).
fof(f357,plain,
sF5 = addition(sF5,sF7),
inference(superposition,[],[f30,f349]) ).
fof(f434,plain,
zero = multiplication(sK1,sF7),
inference(superposition,[],[f244,f63]) ).
fof(f459,plain,
! [X0] : multiplication(addition(sK1,X0),sF7) = addition(zero,multiplication(X0,sF7)),
inference(superposition,[],[f38,f434]) ).
fof(f475,definition,
( spl8_13
<=> zero = multiplication(sF7,sK1) ),
introduced(definition,[new_symbols(definition,[spl8_13])],[avatar_definition]) ).
fof(f476,plain,
( zero = multiplication(sF7,sK1)
| ~ spl8_13 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f479,plain,
! [X0] : multiplication(X0,sF7) = multiplication(addition(sK1,X0),sF7),
inference(forward_demodulation,[],[f459,f175]) ).
fof(f484,plain,
multiplication(sK2,sF7) = multiplication(sF3,sF7),
inference(superposition,[],[f479,f55]) ).
fof(f532,definition,
( spl8_16
<=> zero = multiplication(sF7,sK2) ),
introduced(definition,[new_symbols(definition,[spl8_16])],[avatar_definition]) ).
fof(f533,plain,
( zero = multiplication(sF7,sK2)
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f536,definition,
( spl8_17
<=> zero = multiplication(sF3,sF7) ),
introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition]) ).
fof(f537,plain,
( zero = multiplication(sF3,sF7)
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f591,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(f686,plain,
! [X0,X1] : addition(multiplication(X0,sF5),multiplication(addition(X0,X1),sK1)) = addition(multiplication(X0,one),multiplication(X1,sK1)),
inference(superposition,[],[f591,f90]) ).
fof(f689,plain,
! [X0,X1] : addition(multiplication(X0,sF6),multiplication(addition(X0,X1),sK2)) = addition(multiplication(X0,one),multiplication(X1,sK2)),
inference(superposition,[],[f591,f91]) ).
fof(f791,plain,
! [X0,X1] : addition(multiplication(X0,sF6),multiplication(addition(X0,X1),sK2)) = addition(X0,multiplication(X1,sK2)),
inference(forward_demodulation,[],[f689,f35]) ).
fof(f793,plain,
! [X0,X1] : addition(multiplication(X0,sF5),multiplication(addition(X0,X1),sK1)) = addition(X0,multiplication(X1,sK1)),
inference(forward_demodulation,[],[f686,f35]) ).
fof(f863,plain,
! [X0] : addition(X0,multiplication(X0,sK1)) = addition(multiplication(X0,sF5),multiplication(X0,sK1)),
inference(superposition,[],[f793,f33]) ).
fof(f922,plain,
! [X0] : multiplication(X0,addition(sF5,sK1)) = addition(X0,multiplication(X0,sK1)),
inference(forward_demodulation,[],[f863,f37]) ).
fof(f943,plain,
! [X0] : multiplication(X0,addition(sF5,sK1)) = multiplication(X0,addition(one,sK1)),
inference(forward_demodulation,[],[f922,f138]) ).
fof(f958,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,addition(one,sK1)),
inference(forward_demodulation,[],[f943,f90]) ).
fof(f964,plain,
! [X0] : multiplication(X0,addition(one,sK1)) = X0,
inference(forward_demodulation,[],[f958,f35]) ).
fof(f972,plain,
! [X0] : addition(X0,multiplication(X0,sK2)) = addition(multiplication(X0,sF6),multiplication(X0,sK2)),
inference(superposition,[],[f791,f33]) ).
fof(f993,plain,
addition(multiplication(sF5,sF6),multiplication(one,sK2)) = addition(sF5,multiplication(one,sK2)),
inference(superposition,[],[f791,f303]) ).
fof(f1017,plain,
addition(multiplication(sF5,sF6),sK2) = addition(sF5,sK2),
inference(forward_demodulation,[],[f993,f36]) ).
fof(f1033,plain,
! [X0] : multiplication(X0,addition(sF6,sK2)) = addition(X0,multiplication(X0,sK2)),
inference(forward_demodulation,[],[f972,f37]) ).
fof(f1042,plain,
addition(sF7,sK2) = addition(sF5,sK2),
inference(forward_demodulation,[],[f1017,f63]) ).
fof(f1055,plain,
! [X0] : multiplication(X0,addition(sF6,sK2)) = multiplication(X0,addition(one,sK2)),
inference(forward_demodulation,[],[f1033,f138]) ).
fof(f1071,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,addition(one,sK2)),
inference(forward_demodulation,[],[f1055,f91]) ).
fof(f1077,plain,
! [X0] : multiplication(X0,addition(one,sK2)) = X0,
inference(forward_demodulation,[],[f1071,f35]) ).
fof(f1113,plain,
addition(sF5,sK2) = addition(sK2,sF7),
inference(superposition,[],[f30,f1042]) ).
fof(f1138,plain,
one = addition(one,sK2),
inference(superposition,[],[f36,f1077]) ).
fof(f1181,plain,
addition(sF3,sF7) = addition(sK1,addition(sF5,sK2)),
inference(superposition,[],[f121,f1113]) ).
fof(f1190,plain,
addition(sF3,sF7) = addition(sF3,sF5),
inference(forward_demodulation,[],[f1181,f133]) ).
fof(f1214,plain,
one = addition(one,sK1),
inference(superposition,[],[f36,f964]) ).
fof(f1262,plain,
multiplication(sF7,sK2) = multiplication(sF5,zero),
inference(superposition,[],[f146,f261]) ).
fof(f1288,plain,
zero = multiplication(sF7,sK2),
inference(forward_demodulation,[],[f1262,f39]) ).
fof(f1294,plain,
spl8_16,
inference(avatar_split_clause,[],[f1288,f532]) ).
fof(f1298,plain,
multiplication(addition(sF5,one),sF6) = addition(sF7,sF6),
inference(superposition,[],[f80,f36]) ).
fof(f1319,plain,
multiplication(one,sF6) = addition(sF7,sF6),
inference(forward_demodulation,[],[f1298,f303]) ).
fof(f1327,plain,
sF6 = addition(sF7,sF6),
inference(forward_demodulation,[],[f1319,f36]) ).
fof(f1341,plain,
sF6 = addition(sF6,sF7),
inference(superposition,[],[f30,f1327]) ).
fof(f1433,plain,
addition(sK1,one) = addition(sF3,one),
inference(superposition,[],[f133,f1138]) ).
fof(f1435,plain,
addition(sK1,one) = addition(sF3,sF6),
inference(superposition,[],[f133,f91]) ).
fof(f1452,plain,
addition(sF3,one) = addition(sF3,sF6),
inference(forward_demodulation,[],[f1433,f1435]) ).
fof(f1475,plain,
addition(one,sK1) = addition(sF3,sF6),
inference(superposition,[],[f30,f1435]) ).
fof(f1476,plain,
! [X0] : addition(sK1,addition(one,X0)) = addition(addition(sF3,sF6),X0),
inference(superposition,[],[f31,f1435]) ).
fof(f1478,plain,
! [X0,X1] : addition(multiplication(X0,sK1),multiplication(addition(X0,X1),one)) = addition(multiplication(X0,addition(sF3,sF6)),multiplication(X1,one)),
inference(superposition,[],[f591,f1435]) ).
fof(f1483,plain,
! [X0,X1] : addition(multiplication(X0,sK1),multiplication(addition(X0,X1),one)) = addition(multiplication(X0,addition(sF3,sF6)),X1),
inference(forward_demodulation,[],[f1478,f35]) ).
fof(f1484,plain,
! [X0] : addition(sK1,addition(one,X0)) = addition(sF3,addition(sF6,X0)),
inference(forward_demodulation,[],[f1476,f31]) ).
fof(f1485,plain,
addition(one,sK1) = addition(sF3,one),
inference(forward_demodulation,[],[f1475,f1452]) ).
fof(f1492,plain,
! [X0,X1] : addition(multiplication(X0,sK1),multiplication(addition(X0,X1),one)) = addition(multiplication(X0,addition(sF3,one)),X1),
inference(forward_demodulation,[],[f1483,f1452]) ).
fof(f1493,plain,
one = addition(sF3,one),
inference(forward_demodulation,[],[f1485,f1214]) ).
fof(f1500,plain,
! [X0,X1] : addition(multiplication(X0,addition(sF3,one)),X1) = addition(multiplication(X0,sK1),addition(X0,X1)),
inference(forward_demodulation,[],[f1492,f35]) ).
fof(f1504,plain,
! [X0,X1] : addition(multiplication(X0,sK1),addition(X0,X1)) = addition(multiplication(X0,one),X1),
inference(forward_demodulation,[],[f1500,f1493]) ).
fof(f1506,plain,
! [X0,X1] : addition(X0,X1) = addition(multiplication(X0,sK1),addition(X0,X1)),
inference(forward_demodulation,[],[f1504,f35]) ).
fof(f1510,plain,
one = addition(one,sF3),
inference(superposition,[],[f30,f1493]) ).
fof(f1525,plain,
! [X0] : addition(one,X0) = addition(sK1,addition(one,X0)),
inference(superposition,[],[f1506,f36]) ).
fof(f1601,plain,
! [X0] : addition(one,X0) = addition(sF3,addition(sF6,X0)),
inference(forward_demodulation,[],[f1525,f1484]) ).
fof(f1798,plain,
multiplication(sF5,sK1) = multiplication(sF7,sK1),
inference(superposition,[],[f271,f357]) ).
fof(f1829,plain,
zero = multiplication(sF7,sK1),
inference(forward_demodulation,[],[f1798,f260]) ).
fof(f1835,plain,
spl8_13,
inference(avatar_split_clause,[],[f1829,f475]) ).
fof(f2356,plain,
multiplication(sK2,sF6) = multiplication(sK2,sF7),
inference(superposition,[],[f257,f1341]) ).
fof(f2387,plain,
multiplication(sK2,sF6) = multiplication(sF3,sF7),
inference(forward_demodulation,[],[f2356,f484]) ).
fof(f2394,plain,
zero = multiplication(sF3,sF7),
inference(forward_demodulation,[],[f2387,f230]) ).
fof(f2396,plain,
spl8_17,
inference(avatar_split_clause,[],[f2394,f536]) ).
fof(f3553,plain,
( ! [X0] : multiplication(sF7,addition(sK1,X0)) = addition(zero,multiplication(sF7,X0))
| ~ spl8_13 ),
inference(superposition,[],[f37,f476]) ).
fof(f3577,plain,
( ! [X0] : multiplication(sF7,X0) = multiplication(sF7,addition(sK1,X0))
| ~ spl8_13 ),
inference(forward_demodulation,[],[f3553,f175]) ).
fof(f3596,plain,
( multiplication(sF7,sK2) = multiplication(sF7,sF3)
| ~ spl8_13 ),
inference(superposition,[],[f3577,f55]) ).
fof(f3631,plain,
( zero = multiplication(sF7,sF3)
| ~ spl8_13
| ~ spl8_16 ),
inference(forward_demodulation,[],[f3596,f533]) ).
fof(f3676,plain,
addition(sF6,sF3) = addition(sF6,addition(one,sF3)),
inference(superposition,[],[f165,f1601]) ).
fof(f3694,plain,
addition(one,sF3) = addition(sF6,sF3),
inference(forward_demodulation,[],[f3676,f327]) ).
fof(f3710,plain,
one = addition(sF6,sF3),
inference(forward_demodulation,[],[f3694,f1510]) ).
fof(f5290,plain,
addition(one,sF3) = addition(sF5,sF3),
inference(superposition,[],[f122,f301]) ).
fof(f5338,plain,
one = addition(sF5,sF3),
inference(forward_demodulation,[],[f5290,f1510]) ).
fof(f5361,plain,
one = addition(sF3,sF5),
inference(superposition,[],[f30,f5338]) ).
fof(f6851,plain,
( zero != zero
| zero != multiplication(sF3,sF7)
| complement(sF7,sF3)
| one != addition(sF3,sF7)
| ~ spl8_13
| ~ spl8_16 ),
inference(superposition,[],[f46,f3631]) ).
fof(f6859,plain,
( zero != multiplication(sF3,sF7)
| complement(sF7,sF3)
| one != addition(sF3,sF7)
| ~ spl8_13
| ~ spl8_16 ),
inference(trivial_inequality_removal,[],[f6851]) ).
fof(f6867,plain,
( complement(sF7,sF3)
| one != addition(sF3,sF7)
| ~ spl8_13
| ~ spl8_16
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f6859,f537]) ).
fof(f6877,plain,
( one != addition(sF3,sF5)
| complement(sF7,sF3)
| ~ spl8_13
| ~ spl8_16
| ~ spl8_17 ),
inference(forward_demodulation,[],[f6867,f1190]) ).
fof(f6878,plain,
( complement(sF7,sF3)
| ~ spl8_13
| ~ spl8_16
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f6877,f5361]) ).
fof(f6879,plain,
( test(sF3)
| ~ spl8_13
| ~ spl8_16
| ~ spl8_17 ),
inference(resolution,[],[f6878,f42]) ).
fof(f6894,plain,
( $false
| spl8_1
| ~ spl8_13
| ~ spl8_16
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f6879,f74]) ).
fof(f6895,plain,
( spl8_1
| ~ spl8_13
| ~ spl8_16
| ~ spl8_17 ),
inference(avatar_contradiction_clause,[],[f6894]) ).
fof(f6898,plain,
( zero = multiplication(sF3,sF4)
| ~ spl8_2 ),
inference(resolution,[],[f78,f44]) ).
fof(f6900,plain,
( one = addition(sF4,sF3)
| ~ spl8_2 ),
inference(resolution,[],[f78,f43]) ).
fof(f6931,definition,
( spl8_55
<=> one = addition(sF3,sF4) ),
introduced(definition,[new_symbols(definition,[spl8_55])],[avatar_definition]) ).
fof(f6932,plain,
( one = addition(sF3,sF4)
| ~ spl8_55 ),
inference(avatar_component_clause,[],[f6931]) ).
fof(f6933,plain,
( one != addition(sF3,sF4)
| spl8_55 ),
inference(avatar_component_clause,[],[f6931]) ).
fof(f6939,plain,
( one = addition(sF3,sF4)
| ~ spl8_2 ),
inference(superposition,[],[f6900,f30]) ).
fof(f6946,plain,
( one = addition(sF4,one)
| ~ spl8_2 ),
inference(superposition,[],[f164,f6900]) ).
fof(f6967,plain,
( $false
| ~ spl8_2
| spl8_55 ),
inference(forward_subsumption_resolution,[],[f6939,f6933]) ).
fof(f6968,plain,
( ~ spl8_2
| spl8_55 ),
inference(avatar_contradiction_clause,[],[f6967]) ).
fof(f6978,plain,
( ! [X0] : multiplication(addition(X0,sF3),sF4) = addition(multiplication(X0,sF4),zero)
| ~ spl8_2 ),
inference(superposition,[],[f38,f6898]) ).
fof(f6997,plain,
( ! [X0] : multiplication(X0,sF4) = multiplication(addition(X0,sF3),sF4)
| ~ spl8_2 ),
inference(forward_demodulation,[],[f6978,f32]) ).
fof(f7043,plain,
( one = addition(one,sF4)
| ~ spl8_2 ),
inference(superposition,[],[f30,f6946]) ).
fof(f7117,plain,
( multiplication(one,sF4) = multiplication(sF5,sF4)
| ~ spl8_2 ),
inference(superposition,[],[f6997,f5338]) ).
fof(f7118,plain,
( multiplication(one,sF4) = multiplication(sF6,sF4)
| ~ spl8_2 ),
inference(superposition,[],[f6997,f3710]) ).
fof(f7144,plain,
( sF4 = multiplication(sF6,sF4)
| ~ spl8_2 ),
inference(forward_demodulation,[],[f7118,f36]) ).
fof(f7145,plain,
( sF4 = multiplication(sF5,sF4)
| ~ spl8_2 ),
inference(forward_demodulation,[],[f7117,f36]) ).
fof(f7201,definition,
( spl8_59
<=> zero = multiplication(sF4,sK2) ),
introduced(definition,[new_symbols(definition,[spl8_59])],[avatar_definition]) ).
fof(f7202,plain,
( zero = multiplication(sF4,sK2)
| ~ spl8_59 ),
inference(avatar_component_clause,[],[f7201]) ).
fof(f7226,plain,
( addition(sF4,sF6) = multiplication(sF6,addition(sF4,one))
| ~ spl8_2 ),
inference(superposition,[],[f137,f7144]) ).
fof(f7227,plain,
( multiplication(sF6,addition(one,sF4)) = addition(sF6,sF4)
| ~ spl8_2 ),
inference(superposition,[],[f138,f7144]) ).
fof(f7229,plain,
( multiplication(sF6,one) = addition(sF6,sF4)
| ~ spl8_2 ),
inference(forward_demodulation,[],[f7227,f7043]) ).
fof(f7230,plain,
( multiplication(sF6,one) = addition(sF4,sF6)
| ~ spl8_2 ),
inference(forward_demodulation,[],[f7226,f6946]) ).
fof(f7253,plain,
( sF6 = addition(sF6,sF4)
| ~ spl8_2 ),
inference(forward_demodulation,[],[f7229,f35]) ).
fof(f7254,plain,
( sF6 = addition(sF4,sF6)
| ~ spl8_2 ),
inference(forward_demodulation,[],[f7230,f35]) ).
fof(f7315,plain,
( multiplication(sF5,addition(sF4,sF6)) = addition(sF4,sF7)
| ~ spl8_2 ),
inference(superposition,[],[f93,f7145]) ).
fof(f7351,plain,
( multiplication(sF5,sF6) = addition(sF4,sF7)
| ~ spl8_2 ),
inference(forward_demodulation,[],[f7315,f7254]) ).
fof(f7357,plain,
( sF7 = addition(sF4,sF7)
| ~ spl8_2 ),
inference(forward_demodulation,[],[f7351,f63]) ).
fof(f7360,plain,
( multiplication(sF6,sK2) = multiplication(sF4,sK2)
| ~ spl8_2 ),
inference(superposition,[],[f285,f7253]) ).
fof(f7381,plain,
( zero = multiplication(sF4,sK2)
| ~ spl8_2 ),
inference(forward_demodulation,[],[f7360,f261]) ).
fof(f7390,plain,
( spl8_59
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f7381,f76,f7201]) ).
fof(f7654,plain,
( addition(sF4,multiplication(sF7,sK1)) = addition(multiplication(sF4,sF5),multiplication(sF7,sK1))
| ~ spl8_2 ),
inference(superposition,[],[f793,f7357]) ).
fof(f7661,plain,
( addition(sF4,zero) = addition(multiplication(sF4,sF5),zero)
| ~ spl8_2
| ~ spl8_13 ),
inference(forward_demodulation,[],[f7654,f476]) ).
fof(f7669,plain,
( addition(sF4,zero) = multiplication(sF4,sF5)
| ~ spl8_2
| ~ spl8_13 ),
inference(forward_demodulation,[],[f7661,f32]) ).
fof(f7673,plain,
( sF4 = multiplication(sF4,sF5)
| ~ spl8_2
| ~ spl8_13 ),
inference(forward_demodulation,[],[f7669,f32]) ).
fof(f7709,plain,
( ! [X0] : addition(zero,multiplication(sF4,X0)) = multiplication(sF4,addition(sK2,X0))
| ~ spl8_59 ),
inference(superposition,[],[f37,f7202]) ).
fof(f7710,plain,
( ! [X0] : addition(multiplication(sF4,X0),zero) = multiplication(sF4,addition(X0,sK2))
| ~ spl8_59 ),
inference(superposition,[],[f37,f7202]) ).
fof(f7732,plain,
( ! [X0] : multiplication(sF4,X0) = multiplication(sF4,addition(X0,sK2))
| ~ spl8_59 ),
inference(forward_demodulation,[],[f7710,f32]) ).
fof(f7733,plain,
( ! [X0] : multiplication(sF4,X0) = multiplication(sF4,addition(sK2,X0))
| ~ spl8_59 ),
inference(forward_demodulation,[],[f7709,f175]) ).
fof(f7844,plain,
( multiplication(sF4,sF7) = multiplication(sF4,addition(sF5,sK2))
| ~ spl8_59 ),
inference(superposition,[],[f7733,f1113]) ).
fof(f7880,plain,
( multiplication(sF4,sF5) = multiplication(sF4,sF7)
| ~ spl8_59 ),
inference(forward_demodulation,[],[f7844,f7732]) ).
fof(f7892,plain,
( sF4 = multiplication(sF4,sF7)
| ~ spl8_2
| ~ spl8_13
| ~ spl8_59 ),
inference(forward_demodulation,[],[f7880,f7673]) ).
fof(f10546,plain,
( ! [X0] : addition(zero,multiplication(X0,sF7)) = multiplication(addition(sF3,X0),sF7)
| ~ spl8_17 ),
inference(superposition,[],[f38,f537]) ).
fof(f10564,plain,
( ! [X0] : multiplication(X0,sF7) = multiplication(addition(sF3,X0),sF7)
| ~ spl8_17 ),
inference(forward_demodulation,[],[f10546,f175]) ).
fof(f10590,plain,
( multiplication(one,sF7) = multiplication(sF4,sF7)
| ~ spl8_17
| ~ spl8_55 ),
inference(superposition,[],[f10564,f6932]) ).
fof(f10639,plain,
( sF4 = multiplication(one,sF7)
| ~ spl8_2
| ~ spl8_13
| ~ spl8_17
| ~ spl8_55
| ~ spl8_59 ),
inference(forward_demodulation,[],[f10590,f7892]) ).
fof(f10655,plain,
( sF4 = sF7
| ~ spl8_2
| ~ spl8_13
| ~ spl8_17
| ~ spl8_55
| ~ spl8_59 ),
inference(forward_demodulation,[],[f10639,f36]) ).
fof(f10664,plain,
( $false
| ~ spl8_2
| ~ spl8_13
| ~ spl8_17
| ~ spl8_55
| ~ spl8_59 ),
inference(forward_subsumption_resolution,[],[f10655,f64]) ).
fof(f10665,plain,
( ~ spl8_2
| ~ spl8_13
| ~ spl8_17
| ~ spl8_55
| ~ spl8_59 ),
inference(avatar_contradiction_clause,[],[f10664]) ).
cnf(s1,plain,
( ~ spl8_1
| spl8_2 ),
inference(sat_conversion,[],[f79]) ).
cnf(s8,plain,
spl8_16,
inference(sat_conversion,[],[f1294]) ).
cnf(s12,plain,
spl8_13,
inference(sat_conversion,[],[f1835]) ).
cnf(s15,plain,
spl8_17,
inference(sat_conversion,[],[f2396]) ).
cnf(s27,plain,
( spl8_1
| ~ spl8_13
| ~ spl8_16
| ~ spl8_17 ),
inference(sat_conversion,[],[f6895]) ).
cnf(s32,plain,
( ~ spl8_2
| spl8_55 ),
inference(sat_conversion,[],[f6968]) ).
cnf(s37,plain,
( ~ spl8_2
| spl8_59 ),
inference(sat_conversion,[],[f7390]) ).
cnf(s43,plain,
( ~ spl8_2
| ~ spl8_13
| ~ spl8_17
| ~ spl8_55
| ~ spl8_59 ),
inference(sat_conversion,[],[f10665]) ).
cnf(s44,plain,
spl8_1,
inference(rat,[],[s27,s15,s12,s8]) ).
cnf(s49,plain,
spl8_2,
inference(rat,[],[s1,s44]) ).
cnf(s50,plain,
spl8_59,
inference(rat,[],[s37,s49]) ).
cnf(s51,plain,
spl8_55,
inference(rat,[],[s32,s49]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s43,s49,s12,s15,s50,s51]) ).
fof(f10673,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE014+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 12:58:45 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 10.16/2.31 % (2382353)Detected formulas, will run a generic FOF schedule.
% 10.16/2.31 % (2382363)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1175785057:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.16/2.31 % (2382362)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3954871518:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.16/2.31 % (2382361)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=592297633:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.16/2.31 % (2382359)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=549148218:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.16/2.31 % (2382358)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=536358441:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.16/2.31 % (2382364)dis-21_1_sil=8000:lcm=predicate:random_seed=3169605244: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)
% 10.16/2.32 % (2382360)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=455148479:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.16/2.32 % (2382361)Refutation not found, incomplete strategy
% 10.16/2.32 % (2382361)------------------------------
% 10.16/2.32 % (2382361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.32 % (2382361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.32 % (2382361)CaDiCaL version: 2.1.3
% 10.16/2.32 % (2382361)Termination reason: Refutation not found, incomplete strategy
% 10.16/2.32 % (2382361)Time elapsed: 0.001 s
% 10.16/2.32 % (2382361)Peak memory usage: 88 MB
% 10.16/2.32 % (2382364)Refutation not found, incomplete strategy
% 10.16/2.32 % (2382364)------------------------------
% 10.16/2.32 % (2382364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.32 % (2382364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.32 % (2382364)CaDiCaL version: 2.1.3
% 10.16/2.32 % (2382364)Termination reason: Refutation not found, incomplete strategy
% 10.16/2.32 % (2382364)Time elapsed: 0.002 s
% 10.16/2.32 % (2382364)Peak memory usage: 88 MB
% 10.16/2.32 % (2382364)Instructions burned: 2 (million)
% 10.16/2.32 % (2382363)Instruction limit reached!
% 10.16/2.32 % (2382363)------------------------------
% 10.16/2.32 % (2382363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.32 % (2382363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.32 % (2382363)CaDiCaL version: 2.1.3
% 10.16/2.32 % (2382363)Termination reason: Instruction limit
% 10.16/2.32 % (2382363)Termination phase: Saturation
% 10.16/2.32 % (2382363)Time elapsed: 0.043 s
% 10.16/2.32 % (2382363)Peak memory usage: 90 MB
% 10.16/2.32 % (2382363)Instructions burned: 141 (million)
% 10.16/2.32 % (2382362)Instruction limit reached!
% 10.16/2.32 % (2382362)------------------------------
% 10.16/2.32 % (2382362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.32 % (2382362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.32 % (2382362)CaDiCaL version: 2.1.3
% 10.16/2.32 % (2382362)Termination reason: Instruction limit
% 10.16/2.32 % (2382362)Termination phase: Saturation
% 10.16/2.32 % (2382362)Time elapsed: 0.075 s
% 10.16/2.32 % (2382362)Peak memory usage: 89 MB
% 10.16/2.32 % (2382362)Instructions burned: 119 (million)
% 10.16/2.32 % (2382372)lrs+10_1_sil=8000:sp=occurrence:random_seed=492938407:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.16/2.32 % (2382372)Instruction limit reached!
% 10.16/2.32 % (2382372)------------------------------
% 10.16/2.32 % (2382372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.32 % (2382372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.32 % (2382372)CaDiCaL version: 2.1.3
% 10.16/2.32 % (2382372)Termination reason: Instruction limit
% 10.16/2.32 % (2382372)Termination phase: Saturation
% 10.16/2.32 % (2382372)Time elapsed: 0.092 s
% 10.16/2.32 % (2382372)Peak memory usage: 91 MB
% 10.16/2.32 % (2382372)Instructions burned: 285 (million)
% 10.16/2.32 % (2382373)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2361334127:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.61/2.58 % (2382361)------------------------------
% 11.61/2.58 % (2382361)------------------------------
% 11.61/2.58 % (2382364)------------------------------
% 11.61/2.58 % (2382364)------------------------------
% 11.61/2.58 % (2382373)Instruction limit reached!
% 11.61/2.58 % (2382373)------------------------------
% 11.61/2.58 % (2382373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.58 % (2382373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.58 % (2382373)CaDiCaL version: 2.1.3
% 11.61/2.58 % (2382373)Termination reason: Instruction limit
% 11.61/2.58 % (2382373)Termination phase: Saturation
% 11.61/2.58 % (2382373)Time elapsed: 0.087 s
% 11.61/2.58 % (2382373)Peak memory usage: 89 MB
% 11.61/2.58 % (2382373)Instructions burned: 157 (million)
% 11.61/2.58 % (2382375)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3338168329:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 11.61/2.58 % (2382377)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=2804580802:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 11.61/2.58 % (2382378)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2810292380:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 11.61/2.58 % (2382375)Instruction limit reached!
% 11.61/2.58 % (2382375)------------------------------
% 11.61/2.58 % (2382375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.58 % (2382375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.58 % (2382375)CaDiCaL version: 2.1.3
% 11.61/2.58 % (2382375)Termination reason: Instruction limit
% 11.61/2.58 % (2382375)Termination phase: Saturation
% 11.61/2.58 % (2382375)Time elapsed: 0.102 s
% 11.61/2.58 % (2382375)Peak memory usage: 91 MB
% 11.61/2.58 % (2382375)Instructions burned: 325 (million)
% 11.61/2.58 % (2382380)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3178220781:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 11.61/2.58 % (2382383)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3470091239:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.61/2.58 % (2382377)Instruction limit reached!
% 11.61/2.58 % (2382377)------------------------------
% 11.61/2.58 % (2382377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.58 % (2382377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.58 % (2382377)CaDiCaL version: 2.1.3
% 11.61/2.58 % (2382377)Termination reason: Instruction limit
% 11.61/2.58 % (2382377)Termination phase: Saturation
% 11.61/2.58 % (2382377)Time elapsed: 0.153 s
% 11.61/2.58 % (2382377)Peak memory usage: 91 MB
% 11.61/2.58 % (2382377)Instructions burned: 249 (million)
% 11.61/2.58 % (2382378)Instruction limit reached!
% 11.61/2.58 % (2382378)------------------------------
% 11.61/2.58 % (2382378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.58 % (2382378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.58 % (2382378)CaDiCaL version: 2.1.3
% 11.61/2.58 % (2382378)Termination reason: Instruction limit
% 11.61/2.58 % (2382378)Termination phase: Saturation
% 11.61/2.58 % (2382378)Time elapsed: 0.164 s
% 11.61/2.58 % (2382378)Peak memory usage: 89 MB
% 11.61/2.58 % (2382378)Instructions burned: 296 (million)
% 11.61/2.58 % (2382383)Instruction limit reached!
% 11.61/2.58 % (2382383)------------------------------
% 11.61/2.58 % (2382383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.58 % (2382383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.58 % (2382383)CaDiCaL version: 2.1.3
% 11.61/2.58 % (2382383)Termination reason: Instruction limit
% 11.61/2.58 % (2382383)Termination phase: Saturation
% 11.61/2.58 % (2382383)Time elapsed: 0.044 s
% 11.61/2.58 % (2382383)Peak memory usage: 90 MB
% 11.61/2.58 % (2382383)Instructions burned: 115 (million)
% 11.61/2.58 % (2382388)lrs+10_1_sil=8000:sp=occurrence:random_seed=2285990656:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 11.61/2.58 % (2382386)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=808431784:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 11.61/2.58 % (2382387)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2384316901:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 11.61/2.58 % (2382386)Instruction limit reached!
% 11.61/2.58 % (2382386)------------------------------
% 11.61/2.58 % (2382386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.58 % (2382386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.58 % (2382386)CaDiCaL version: 2.1.3
% 11.61/2.58 % (2382386)Termination reason: Instruction limit
% 11.61/2.58 % (2382386)Termination phase: Saturation
% 11.61/2.58 % (2382386)Time elapsed: 0.063 s
% 11.61/2.58 % (2382386)Peak memory usage: 89 MB
% 11.61/2.58 % (2382386)Instructions burned: 128 (million)
% 11.61/2.58 % (2382387)Instruction limit reached!
% 11.61/2.58 % (2382387)------------------------------
% 11.61/2.58 % (2382387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.58 % (2382387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.58 % (2382387)CaDiCaL version: 2.1.3
% 11.61/2.58 % (2382387)Termination reason: Instruction limit
% 11.61/2.58 % (2382387)Termination phase: Saturation
% 11.61/2.58 % (2382387)Time elapsed: 0.053 s
% 11.61/2.58 % (2382387)Peak memory usage: 89 MB
% 11.61/2.58 % (2382387)Instructions burned: 116 (million)
% 11.61/2.58 % (2382393)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1850646770:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 11.61/2.58 % (2382392)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1503767033:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.61/2.58 % (2382388)Instruction limit reached!
% 11.61/2.58 % (2382388)------------------------------
% 11.61/2.58 % (2382388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.58 % (2382388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.58 % (2382388)CaDiCaL version: 2.1.3
% 11.61/2.58 % (2382388)Termination reason: Instruction limit
% 11.61/2.58 % (2382388)Termination phase: Saturation
% 11.61/2.58 % (2382388)Time elapsed: 0.265 s
% 11.61/2.58 % (2382388)Peak memory usage: 94 MB
% 11.61/2.58 % (2382388)Instructions burned: 908 (million)
% 11.61/2.58 % (2382396)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2602648682:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 11.61/2.58 % (2382396)Instruction limit reached!
% 11.61/2.58 % (2382396)------------------------------
% 11.61/2.58 % (2382396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.58 % (2382396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.58 % (2382396)CaDiCaL version: 2.1.3
% 11.61/2.58 % (2382396)Termination reason: Instruction limit
% 11.61/2.58 % (2382396)Termination phase: Saturation
% 11.61/2.58 % (2382396)Time elapsed: 0.038 s
% 11.61/2.58 % (2382396)Peak memory usage: 90 MB
% 11.61/2.58 % (2382396)Instructions burned: 135 (million)
% 11.61/2.58 % (2382392)Instruction limit reached!
% 11.61/2.58 % (2382392)------------------------------
% 11.61/2.58 % (2382392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.58 % (2382392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.58 % (2382392)CaDiCaL version: 2.1.3
% 11.61/2.58 % (2382392)Termination reason: Instruction limit
% 11.61/2.58 % (2382392)Termination phase: Saturation
% 11.61/2.58 % (2382392)Time elapsed: 0.189 s
% 11.61/2.58 % (2382392)Peak memory usage: 90 MB
% 11.61/2.58 % (2382392)Instructions burned: 439 (million)
% 11.61/2.58 % (2382398)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3723196089:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 11.61/2.58 % (2382399)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3404406050:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 11.61/2.58 % (2382358)First to succeed.
% 11.61/2.58 % (2382398)Instruction limit reached!
% 11.61/2.58 % (2382398)------------------------------
% 11.61/2.58 % (2382398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.58 % (2382398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.58 % (2382398)CaDiCaL version: 2.1.3
% 11.61/2.58 % (2382398)Termination reason: Instruction limit
% 11.61/2.58 % (2382398)Termination phase: Saturation
% 11.61/2.58 % (2382398)Time elapsed: 0.216 s
% 11.61/2.58 % (2382398)Peak memory usage: 97 MB
% 11.61/2.58 % (2382398)Instructions burned: 594 (million)
% 11.61/2.58 % (2382358)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2382353"
% 11.61/2.58 % (2382402)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=1373181080:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 11.61/2.58 % (2382402)Instruction limit reached!
% 11.61/2.58 % (2382402)------------------------------
% 11.61/2.58 % (2382402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.61/2.58 % (2382402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.61/2.58 % (2382402)CaDiCaL version: 2.1.3
% 11.61/2.58 % (2382402)Termination reason: Instruction limit
% 11.61/2.58 % (2382402)Termination phase: Saturation
% 11.61/2.58 % (2382402)Time elapsed: 0.046 s
% 11.61/2.58 % (2382402)Peak memory usage: 90 MB
% 11.61/2.58 % (2382402)Instructions burned: 128 (million)
% 11.61/2.58 % (2382404)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4152450628:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 11.61/2.58 % (2382358)Refutation found. Thanks to Tanya!
% 11.61/2.58 % SZS status Theorem for theBenchmark
% 11.61/2.58 % SZS output start Proof for theBenchmark
% See solution above
% 12.84/2.78 % (2382358)------------------------------
% 12.84/2.78 % (2382358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.84/2.78 % (2382358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.84/2.78 % (2382358)CaDiCaL version: 2.1.3
% 12.84/2.78 % (2382358)Termination reason: Refutation
% 12.84/2.78 % (2382358)Time elapsed: 1.327 s
% 12.84/2.78 % (2382358)Peak memory usage: 139 MB
% 12.84/2.78 % (2382358)Instructions burned: 2025 (million)
% 12.84/2.78 % (2382358)------------------------------
% 12.84/2.78 % (2382358)------------------------------
% 12.84/2.78 % (2382353)Success in time 1.736 s
% 12.84/2.78 % Vampire exiting
%------------------------------------------------------------------------------