%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE014+3 : 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 : n003.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 6.29s 2.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 27
% Syntax : Number of formulae : 224 ( 143 unt; 11 def)
% Number of atoms : 374 ( 185 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 267 ( 117 ~; 113 |; 22 &)
% ( 11 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 151 ( 0 sgn 144 !; 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(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
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) )
=> ( leq(c(addition(X0,X1)),multiplication(c(X0),c(X1)))
& leq(multiplication(c(X0),c(X1)),c(addition(X0,X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> ( leq(c(addition(X0,X1)),multiplication(c(X0),c(X1)))
& leq(multiplication(c(X0),c(X1)),c(addition(X0,X1))) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( addition(X0,X1) = X1
=> leq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f20,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f23,plain,
? [X0,X1] :
( ( ~ leq(c(addition(X0,X1)),multiplication(c(X0),c(X1)))
| ~ leq(multiplication(c(X0),c(X1)),c(addition(X0,X1))) )
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f24,plain,
? [X0,X1] :
( ( ~ leq(c(addition(X0,X1)),multiplication(c(X0),c(X1)))
| ~ leq(multiplication(c(X0),c(X1)),c(addition(X0,X1))) )
& test(X1)
& test(X0) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f26,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f25]) ).
fof(f27,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))],[f26]) ).
fof(f28,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(f29,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,[],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f21]) ).
fof(f31,plain,
( ( ~ leq(c(addition(sK1,sK2)),multiplication(c(sK1),c(sK2)))
| ~ leq(multiplication(c(sK1),c(sK2)),c(addition(sK1,sK2))) )
& test(sK2)
& test(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f24]) ).
fof(f32,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f33,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f34,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f35,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f36,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f37,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f38,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f40,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f41,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f42,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f43,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f45,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f46,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f29]) ).
fof(f47,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f49,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0)
| addition(X0,X1) != one ),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f53,plain,
test(sK1),
inference(cnf_transformation,[],[f31]) ).
fof(f54,plain,
test(sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f55,plain,
( ~ leq(c(addition(sK1,sK2)),multiplication(c(sK1),c(sK2)))
| ~ leq(multiplication(c(sK1),c(sK2)),c(addition(sK1,sK2))) ),
inference(cnf_transformation,[],[f31]) ).
fof(f56,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f50]) ).
fof(f57,definition,
sF3 = addition(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f58,plain,
addition(sK1,sK2) = sF3,
inference(reorient_equations,[],[f57]) ).
fof(f59,definition,
sF4 = c(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f60,plain,
c(sF3) = sF4,
inference(reorient_equations,[],[f59]) ).
fof(f61,definition,
sF5 = c(sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f62,plain,
c(sK1) = sF5,
inference(reorient_equations,[],[f61]) ).
fof(f63,definition,
sF6 = c(sK2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f64,plain,
c(sK2) = sF6,
inference(reorient_equations,[],[f63]) ).
fof(f65,definition,
sF7 = multiplication(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f66,plain,
multiplication(sF5,sF6) = sF7,
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
( ~ leq(sF4,sF7)
| ~ leq(sF7,sF4) ),
inference(definition_folding,[],[f55,f60,f58,f66,f64,f62,f66,f64,f62,f60,f58]) ).
fof(f69,definition,
( spl8_1
<=> leq(sF7,sF4) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f71,plain,
( ~ leq(sF7,sF4)
| spl8_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f73,definition,
( spl8_2
<=> leq(sF4,sF7) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f75,plain,
( ~ leq(sF4,sF7)
| spl8_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f67,f73,f69]) ).
fof(f88,plain,
( complement(sK1,sF5)
| ~ test(sK1) ),
inference(superposition,[],[f56,f62]) ).
fof(f89,plain,
complement(sK1,sF5),
inference(forward_subsumption_resolution,[],[f88,f53]) ).
fof(f90,plain,
( complement(sK2,sF6)
| ~ test(sK2) ),
inference(superposition,[],[f56,f64]) ).
fof(f91,plain,
complement(sK2,sF6),
inference(forward_subsumption_resolution,[],[f90,f54]) ).
fof(f92,plain,
( complement(sF3,sF4)
| ~ test(sF3) ),
inference(superposition,[],[f56,f60]) ).
fof(f94,definition,
( spl8_5
<=> test(sF3) ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
fof(f96,plain,
( ~ test(sF3)
| spl8_5 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f98,definition,
( spl8_6
<=> complement(sF3,sF4) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
fof(f100,plain,
( complement(sF3,sF4)
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( ~ spl8_5
| spl8_6 ),
inference(avatar_split_clause,[],[f92,f98,f94]) ).
fof(f104,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f43,f35]) ).
fof(f105,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f104]) ).
fof(f119,plain,
one = addition(sF5,sK1),
inference(resolution,[],[f89,f46]) ).
fof(f130,plain,
one = addition(sF6,sK2),
inference(resolution,[],[f91,f46]) ).
fof(f141,plain,
! [X0] : multiplication(sF5,addition(sF6,X0)) = addition(sF7,multiplication(sF5,X0)),
inference(superposition,[],[f39,f66]) ).
fof(f160,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f40,f38]) ).
fof(f161,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f40,f38]) ).
fof(f165,plain,
zero = multiplication(sK1,sF5),
inference(resolution,[],[f47,f89]) ).
fof(f166,plain,
zero = multiplication(sK2,sF6),
inference(resolution,[],[f47,f91]) ).
fof(f180,plain,
zero = multiplication(sF5,sK1),
inference(resolution,[],[f48,f89]) ).
fof(f181,plain,
zero = multiplication(sF6,sK2),
inference(resolution,[],[f48,f91]) ).
fof(f182,plain,
! [X0] : multiplication(sF5,addition(X0,sK1)) = addition(multiplication(sF5,X0),zero),
inference(superposition,[],[f39,f180]) ).
fof(f187,plain,
! [X0] : multiplication(sF5,X0) = multiplication(sF5,addition(X0,sK1)),
inference(forward_demodulation,[],[f182,f34]) ).
fof(f188,plain,
! [X0] : multiplication(sF6,addition(X0,sK2)) = addition(multiplication(sF6,X0),zero),
inference(superposition,[],[f39,f181]) ).
fof(f193,plain,
! [X0] : multiplication(sF6,addition(X0,sK2)) = multiplication(sF6,X0),
inference(forward_demodulation,[],[f188,f34]) ).
fof(f195,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f39,f37]) ).
fof(f202,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f33,f35]) ).
fof(f205,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f33,f39]) ).
fof(f206,plain,
! [X0] : addition(sK1,addition(sK2,X0)) = addition(sF3,X0),
inference(superposition,[],[f33,f58]) ).
fof(f207,plain,
! [X0] : addition(sF5,addition(sK1,X0)) = addition(one,X0),
inference(superposition,[],[f33,f119]) ).
fof(f221,plain,
! [X0] : addition(sF3,X0) = addition(sK1,addition(X0,sK2)),
inference(superposition,[],[f206,f32]) ).
fof(f233,plain,
addition(sF3,sF6) = addition(sK1,one),
inference(superposition,[],[f221,f130]) ).
fof(f244,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f32,f34]) ).
fof(f261,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK1,multiplication(sF5,X0)),
inference(superposition,[],[f36,f165]) ).
fof(f262,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK2,multiplication(sF6,X0)),
inference(superposition,[],[f36,f166]) ).
fof(f263,plain,
! [X0] : multiplication(sF5,multiplication(sF6,X0)) = multiplication(sF7,X0),
inference(superposition,[],[f36,f66]) ).
fof(f276,plain,
! [X0] : zero = multiplication(sK2,multiplication(sF6,X0)),
inference(forward_demodulation,[],[f262,f42]) ).
fof(f277,plain,
! [X0] : zero = multiplication(sK1,multiplication(sF5,X0)),
inference(forward_demodulation,[],[f261,f42]) ).
fof(f325,plain,
sF3 = addition(sK1,sF3),
inference(superposition,[],[f202,f58]) ).
fof(f328,plain,
one = addition(sF5,one),
inference(superposition,[],[f202,f119]) ).
fof(f329,plain,
one = addition(sF6,one),
inference(superposition,[],[f202,f130]) ).
fof(f361,plain,
one = addition(one,sF6),
inference(superposition,[],[f32,f329]) ).
fof(f461,plain,
addition(sF7,sF5) = multiplication(sF5,addition(sF6,one)),
inference(superposition,[],[f141,f37]) ).
fof(f470,plain,
multiplication(sF5,one) = addition(sF7,sF5),
inference(forward_demodulation,[],[f461,f329]) ).
fof(f475,plain,
sF5 = addition(sF7,sF5),
inference(forward_demodulation,[],[f470,f37]) ).
fof(f486,plain,
zero = multiplication(sK1,sF7),
inference(superposition,[],[f277,f66]) ).
fof(f508,plain,
! [X0] : multiplication(addition(sK1,X0),sF7) = addition(zero,multiplication(X0,sF7)),
inference(superposition,[],[f40,f486]) ).
fof(f513,plain,
! [X0] : multiplication(X0,sF7) = multiplication(addition(sK1,X0),sF7),
inference(forward_demodulation,[],[f508,f244]) ).
fof(f518,plain,
multiplication(sK2,sF7) = multiplication(sF3,sF7),
inference(superposition,[],[f513,f58]) ).
fof(f581,plain,
! [X0,X1] : multiplication(sF5,addition(multiplication(sF6,X0),X1)) = addition(multiplication(sF7,X0),multiplication(sF5,X1)),
inference(superposition,[],[f39,f263]) ).
fof(f624,plain,
multiplication(addition(sF5,one),sF6) = addition(sF7,sF6),
inference(superposition,[],[f160,f66]) ).
fof(f654,plain,
multiplication(one,sF6) = addition(sF7,sF6),
inference(forward_demodulation,[],[f624,f328]) ).
fof(f667,plain,
sF6 = addition(sF7,sF6),
inference(forward_demodulation,[],[f654,f38]) ).
fof(f726,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,[],[f205,f40]) ).
fof(f827,plain,
! [X0,X1] : addition(multiplication(X0,sF5),multiplication(addition(X0,X1),sK1)) = addition(multiplication(X0,one),multiplication(X1,sK1)),
inference(superposition,[],[f726,f119]) ).
fof(f830,plain,
! [X0,X1] : addition(multiplication(X0,sF6),multiplication(addition(X0,X1),sK2)) = addition(multiplication(X0,one),multiplication(X1,sK2)),
inference(superposition,[],[f726,f130]) ).
fof(f942,plain,
! [X0,X1] : addition(multiplication(X0,sF6),multiplication(addition(X0,X1),sK2)) = addition(X0,multiplication(X1,sK2)),
inference(forward_demodulation,[],[f830,f37]) ).
fof(f944,plain,
! [X0,X1] : addition(multiplication(X0,sF5),multiplication(addition(X0,X1),sK1)) = addition(X0,multiplication(X1,sK1)),
inference(forward_demodulation,[],[f827,f37]) ).
fof(f1019,plain,
! [X0] : addition(X0,multiplication(X0,sK1)) = addition(multiplication(X0,sF5),multiplication(X0,sK1)),
inference(superposition,[],[f944,f35]) ).
fof(f1048,plain,
addition(sF7,multiplication(sF5,sK1)) = addition(multiplication(sF7,sF5),multiplication(sF5,sK1)),
inference(superposition,[],[f944,f475]) ).
fof(f1062,plain,
addition(sF7,multiplication(sF5,sK1)) = multiplication(sF5,addition(multiplication(sF6,sF5),sK1)),
inference(forward_demodulation,[],[f1048,f581]) ).
fof(f1088,plain,
! [X0] : multiplication(X0,addition(sF5,sK1)) = addition(X0,multiplication(X0,sK1)),
inference(forward_demodulation,[],[f1019,f39]) ).
fof(f1091,plain,
addition(sF7,multiplication(sF5,sK1)) = multiplication(sF5,multiplication(sF6,sF5)),
inference(forward_demodulation,[],[f1062,f187]) ).
fof(f1112,plain,
! [X0] : multiplication(X0,addition(sF5,sK1)) = multiplication(X0,addition(one,sK1)),
inference(forward_demodulation,[],[f1088,f195]) ).
fof(f1115,plain,
addition(sF7,multiplication(sF5,sK1)) = multiplication(sF7,sF5),
inference(forward_demodulation,[],[f1091,f263]) ).
fof(f1129,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,addition(one,sK1)),
inference(forward_demodulation,[],[f1112,f119]) ).
fof(f1130,plain,
multiplication(sF5,addition(sF6,sK1)) = multiplication(sF7,sF5),
inference(forward_demodulation,[],[f1115,f141]) ).
fof(f1137,plain,
! [X0] : multiplication(X0,addition(one,sK1)) = X0,
inference(forward_demodulation,[],[f1129,f37]) ).
fof(f1138,plain,
multiplication(sF5,sF6) = multiplication(sF7,sF5),
inference(forward_demodulation,[],[f1130,f187]) ).
fof(f1140,plain,
sF7 = multiplication(sF7,sF5),
inference(forward_demodulation,[],[f1138,f66]) ).
fof(f1142,plain,
! [X0] : multiplication(sF7,X0) = multiplication(sF7,multiplication(sF5,X0)),
inference(superposition,[],[f36,f1140]) ).
fof(f1146,plain,
! [X0] : multiplication(addition(sF7,X0),sF5) = addition(sF7,multiplication(X0,sF5)),
inference(superposition,[],[f40,f1140]) ).
fof(f1163,plain,
! [X0] : addition(X0,multiplication(X0,sK2)) = addition(multiplication(X0,sF6),multiplication(X0,sK2)),
inference(superposition,[],[f942,f35]) ).
fof(f1187,plain,
addition(multiplication(sF5,sF6),multiplication(one,sK2)) = addition(sF5,multiplication(one,sK2)),
inference(superposition,[],[f942,f328]) ).
fof(f1216,plain,
addition(multiplication(sF5,sF6),sK2) = addition(sF5,sK2),
inference(forward_demodulation,[],[f1187,f38]) ).
fof(f1235,plain,
! [X0] : multiplication(X0,addition(sF6,sK2)) = addition(X0,multiplication(X0,sK2)),
inference(forward_demodulation,[],[f1163,f39]) ).
fof(f1245,plain,
addition(sF5,sK2) = addition(sF7,sK2),
inference(forward_demodulation,[],[f1216,f66]) ).
fof(f1260,plain,
! [X0] : multiplication(X0,addition(sF6,sK2)) = multiplication(X0,addition(one,sK2)),
inference(forward_demodulation,[],[f1235,f195]) ).
fof(f1278,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,addition(one,sK2)),
inference(forward_demodulation,[],[f1260,f130]) ).
fof(f1287,plain,
! [X0] : multiplication(X0,addition(one,sK2)) = X0,
inference(forward_demodulation,[],[f1278,f37]) ).
fof(f1352,plain,
one = addition(one,sK2),
inference(superposition,[],[f38,f1287]) ).
fof(f1380,plain,
addition(sK1,one) = addition(sF3,one),
inference(superposition,[],[f221,f1352]) ).
fof(f1390,plain,
addition(sF3,sF6) = addition(sF3,one),
inference(forward_demodulation,[],[f1380,f233]) ).
fof(f1412,plain,
one = addition(one,sK1),
inference(superposition,[],[f38,f1137]) ).
fof(f1618,definition,
( spl8_30
<=> zero = multiplication(sF3,sF7) ),
introduced(definition,[new_symbols(definition,[spl8_30])],[avatar_definition]) ).
fof(f1619,plain,
( zero = multiplication(sF3,sF7)
| ~ spl8_30 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f1620,plain,
( zero != multiplication(sF3,sF7)
| spl8_30 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f1876,plain,
addition(sF3,sF7) = addition(sK1,addition(sF5,sK2)),
inference(superposition,[],[f221,f1245]) ).
fof(f1907,plain,
addition(sF3,sF7) = addition(sF3,sF5),
inference(forward_demodulation,[],[f1876,f221]) ).
fof(f2017,plain,
multiplication(sF6,sK1) = multiplication(sF6,sF3),
inference(superposition,[],[f193,f58]) ).
fof(f2019,plain,
multiplication(sF6,sF7) = multiplication(sF6,addition(sF5,sK2)),
inference(superposition,[],[f193,f1245]) ).
fof(f2047,plain,
multiplication(sF6,sF5) = multiplication(sF6,sF7),
inference(forward_demodulation,[],[f2019,f193]) ).
fof(f2065,plain,
multiplication(addition(one,sF6),sF7) = addition(sF7,multiplication(sF6,sF5)),
inference(superposition,[],[f161,f2047]) ).
fof(f2073,plain,
multiplication(addition(one,sF6),sF7) = multiplication(addition(sF7,sF6),sF5),
inference(forward_demodulation,[],[f2065,f1146]) ).
fof(f2080,plain,
multiplication(sF6,sF5) = multiplication(addition(one,sF6),sF7),
inference(forward_demodulation,[],[f2073,f667]) ).
fof(f2084,plain,
multiplication(one,sF7) = multiplication(sF6,sF5),
inference(forward_demodulation,[],[f2080,f361]) ).
fof(f2086,plain,
sF7 = multiplication(sF6,sF5),
inference(forward_demodulation,[],[f2084,f38]) ).
fof(f2089,plain,
zero = multiplication(sK2,sF7),
inference(superposition,[],[f276,f2086]) ).
fof(f2110,plain,
zero = multiplication(sF3,sF7),
inference(forward_demodulation,[],[f2089,f518]) ).
fof(f2124,plain,
( $false
| spl8_30 ),
inference(forward_subsumption_resolution,[],[f2110,f1620]) ).
fof(f2125,plain,
spl8_30,
inference(avatar_contradiction_clause,[],[f2124]) ).
fof(f2179,plain,
multiplication(sF7,sK1) = multiplication(sF5,multiplication(sF6,sF3)),
inference(superposition,[],[f263,f2017]) ).
fof(f2218,plain,
multiplication(sF7,sK1) = multiplication(sF7,sF3),
inference(forward_demodulation,[],[f2179,f263]) ).
fof(f2773,plain,
( ! [X0] : addition(multiplication(X0,sF7),zero) = multiplication(addition(X0,sF3),sF7)
| ~ spl8_30 ),
inference(superposition,[],[f40,f1619]) ).
fof(f2801,definition,
( spl8_55
<=> zero = multiplication(sF7,sF3) ),
introduced(definition,[new_symbols(definition,[spl8_55])],[avatar_definition]) ).
fof(f2802,plain,
( zero = multiplication(sF7,sF3)
| ~ spl8_55 ),
inference(avatar_component_clause,[],[f2801]) ).
fof(f2806,plain,
( ! [X0] : multiplication(X0,sF7) = multiplication(addition(X0,sF3),sF7)
| ~ spl8_30 ),
inference(forward_demodulation,[],[f2773,f34]) ).
fof(f3190,plain,
addition(sF3,sF6) = addition(one,sK1),
inference(superposition,[],[f32,f233]) ).
fof(f3206,plain,
one = addition(sF3,sF6),
inference(forward_demodulation,[],[f3190,f1412]) ).
fof(f3224,plain,
one = addition(sF3,one),
inference(forward_demodulation,[],[f3206,f1390]) ).
fof(f3418,plain,
one = addition(one,sF3),
inference(superposition,[],[f32,f3224]) ).
fof(f3710,plain,
multiplication(sF7,sK1) = multiplication(sF7,zero),
inference(superposition,[],[f1142,f180]) ).
fof(f3745,plain,
zero = multiplication(sF7,sK1),
inference(forward_demodulation,[],[f3710,f41]) ).
fof(f3755,plain,
zero = multiplication(sF7,sF3),
inference(forward_demodulation,[],[f3745,f2218]) ).
fof(f3758,plain,
spl8_55,
inference(avatar_split_clause,[],[f3755,f2801]) ).
fof(f4904,plain,
addition(one,sF3) = addition(sF5,sF3),
inference(superposition,[],[f207,f325]) ).
fof(f4936,plain,
one = addition(sF5,sF3),
inference(forward_demodulation,[],[f4904,f3418]) ).
fof(f4953,plain,
one = addition(sF3,sF5),
inference(superposition,[],[f32,f4936]) ).
fof(f7266,plain,
( zero != zero
| zero != multiplication(sF3,sF7)
| complement(sF7,sF3)
| one != addition(sF3,sF7)
| ~ spl8_55 ),
inference(superposition,[],[f49,f2802]) ).
fof(f7275,plain,
( zero != multiplication(sF3,sF7)
| complement(sF7,sF3)
| one != addition(sF3,sF7)
| ~ spl8_55 ),
inference(trivial_inequality_removal,[],[f7266]) ).
fof(f7283,plain,
( complement(sF7,sF3)
| one != addition(sF3,sF7)
| ~ spl8_30
| ~ spl8_55 ),
inference(forward_subsumption_resolution,[],[f7275,f1619]) ).
fof(f7293,plain,
( one != addition(sF3,sF5)
| complement(sF7,sF3)
| ~ spl8_30
| ~ spl8_55 ),
inference(forward_demodulation,[],[f7283,f1907]) ).
fof(f7294,plain,
( complement(sF7,sF3)
| ~ spl8_30
| ~ spl8_55 ),
inference(forward_subsumption_resolution,[],[f7293,f4953]) ).
fof(f7417,plain,
( test(sF3)
| ~ spl8_30
| ~ spl8_55 ),
inference(resolution,[],[f7294,f45]) ).
fof(f7432,plain,
( $false
| spl8_5
| ~ spl8_30
| ~ spl8_55 ),
inference(forward_subsumption_resolution,[],[f7417,f96]) ).
fof(f7433,plain,
( spl8_5
| ~ spl8_30
| ~ spl8_55 ),
inference(avatar_contradiction_clause,[],[f7432]) ).
fof(f7436,plain,
( zero = multiplication(sF4,sF3)
| ~ spl8_6 ),
inference(resolution,[],[f100,f48]) ).
fof(f7438,plain,
( one = addition(sF4,sF3)
| ~ spl8_6 ),
inference(resolution,[],[f100,f46]) ).
fof(f7473,plain,
( multiplication(one,sF7) = multiplication(sF4,sF7)
| ~ spl8_6
| ~ spl8_30 ),
inference(superposition,[],[f2806,f7438]) ).
fof(f7509,plain,
( sF7 = multiplication(sF4,sF7)
| ~ spl8_6
| ~ spl8_30 ),
inference(forward_demodulation,[],[f7473,f38]) ).
fof(f7516,plain,
( ! [X0] : multiplication(sF4,addition(sF3,X0)) = addition(zero,multiplication(sF4,X0))
| ~ spl8_6 ),
inference(superposition,[],[f39,f7436]) ).
fof(f7541,plain,
( ! [X0] : multiplication(sF4,X0) = multiplication(sF4,addition(sF3,X0))
| ~ spl8_6 ),
inference(forward_demodulation,[],[f7516,f244]) ).
fof(f7723,plain,
( multiplication(sF4,sF5) = multiplication(sF4,one)
| ~ spl8_6 ),
inference(superposition,[],[f7541,f4953]) ).
fof(f7724,plain,
( multiplication(sF4,sF7) = multiplication(sF4,addition(sF3,sF5))
| ~ spl8_6 ),
inference(superposition,[],[f7541,f1907]) ).
fof(f7763,plain,
( multiplication(sF4,sF7) = multiplication(sF4,sF5)
| ~ spl8_6 ),
inference(forward_demodulation,[],[f7724,f7541]) ).
fof(f7764,plain,
( sF4 = multiplication(sF4,sF5)
| ~ spl8_6 ),
inference(forward_demodulation,[],[f7723,f37]) ).
fof(f7779,plain,
( sF7 = multiplication(sF4,sF5)
| ~ spl8_6
| ~ spl8_30 ),
inference(forward_demodulation,[],[f7763,f7509]) ).
fof(f7783,plain,
( sF4 = sF7
| ~ spl8_6
| ~ spl8_30 ),
inference(forward_demodulation,[],[f7779,f7764]) ).
fof(f7785,plain,
( ~ leq(sF4,sF4)
| spl8_1
| ~ spl8_6
| ~ spl8_30 ),
inference(superposition,[],[f71,f7783]) ).
fof(f7835,plain,
( $false
| spl8_1
| ~ spl8_6
| ~ spl8_30 ),
inference(forward_subsumption_resolution,[],[f7785,f105]) ).
fof(f7836,plain,
( spl8_1
| ~ spl8_6
| ~ spl8_30 ),
inference(avatar_contradiction_clause,[],[f7835]) ).
fof(f7840,plain,
( ~ leq(sF4,sF4)
| spl8_2
| ~ spl8_6
| ~ spl8_30 ),
inference(forward_demodulation,[],[f75,f7783]) ).
fof(f7841,plain,
( $false
| spl8_2
| ~ spl8_6
| ~ spl8_30 ),
inference(forward_subsumption_resolution,[],[f7840,f105]) ).
fof(f7842,plain,
( spl8_2
| ~ spl8_6
| ~ spl8_30 ),
inference(avatar_contradiction_clause,[],[f7841]) ).
cnf(s1,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(sat_conversion,[],[f76]) ).
cnf(s3,plain,
( ~ spl8_5
| spl8_6 ),
inference(sat_conversion,[],[f101]) ).
cnf(s23,plain,
spl8_30,
inference(sat_conversion,[],[f2125]) ).
cnf(s29,plain,
spl8_55,
inference(sat_conversion,[],[f3758]) ).
cnf(s44,plain,
( spl8_5
| ~ spl8_30
| ~ spl8_55 ),
inference(sat_conversion,[],[f7433]) ).
cnf(s46,plain,
( spl8_1
| ~ spl8_6
| ~ spl8_30 ),
inference(sat_conversion,[],[f7836]) ).
cnf(s47,plain,
( spl8_2
| ~ spl8_6
| ~ spl8_30 ),
inference(sat_conversion,[],[f7842]) ).
cnf(s49,plain,
spl8_5,
inference(rat,[],[s44,s29,s23]) ).
cnf(s52,plain,
spl8_6,
inference(rat,[],[s3,s49]) ).
cnf(s53,plain,
spl8_2,
inference(rat,[],[s47,s23,s52]) ).
cnf(s54,plain,
spl8_1,
inference(rat,[],[s46,s23,s52]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s1,s53,s54]) ).
fof(f7843,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE014+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:00:26 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 6.29/2.51 % (515973)Detected formulas, will run a generic FOF schedule.
% 6.29/2.51 % (515982)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1662514531:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.29/2.51 % (515982)Instruction limit reached!
% 6.29/2.51 % (515982)------------------------------
% 6.29/2.51 % (515982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (515982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (515982)CaDiCaL version: 2.1.3
% 6.29/2.51 % (515982)Termination reason: Instruction limit
% 6.29/2.51 % (515982)Termination phase: Saturation
% 6.29/2.51 % (515982)Time elapsed: 0.039 s
% 6.29/2.51 % (515982)Peak memory usage: 88 MB
% 6.29/2.51 % (515982)Instructions burned: 122 (million)
% 6.29/2.51 % (515978)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=300481953:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.29/2.51 % (515979)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=2572187781:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.29/2.51 % (515981)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1185131443:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.29/2.51 % (515980)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=2950482651:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.29/2.51 % (515981)Refutation not found, incomplete strategy
% 6.29/2.51 % (515981)------------------------------
% 6.29/2.51 % (515981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (515981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (515981)CaDiCaL version: 2.1.3
% 6.29/2.51 % (515981)Termination reason: Refutation not found, incomplete strategy
% 6.29/2.51 % (515981)Time elapsed: 0.002 s
% 6.29/2.51 % (515981)Peak memory usage: 88 MB
% 6.29/2.51 % (515984)dis-21_1_sil=8000:lcm=predicate:random_seed=3505528936: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)
% 6.29/2.51 % (515983)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1683112049:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.29/2.51 % (515984)Refutation not found, incomplete strategy
% 6.29/2.51 % (515984)------------------------------
% 6.29/2.51 % (515984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (515984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (515984)CaDiCaL version: 2.1.3
% 6.29/2.51 % (515984)Termination reason: Refutation not found, incomplete strategy
% 6.29/2.51 % (515984)Time elapsed: 0.003 s
% 6.29/2.51 % (515984)Peak memory usage: 88 MB
% 6.29/2.51 % (515984)Instructions burned: 2 (million)
% 6.29/2.51 % (515983)Instruction limit reached!
% 6.29/2.51 % (515983)------------------------------
% 6.29/2.51 % (515983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (515983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (515983)CaDiCaL version: 2.1.3
% 6.29/2.51 % (515983)Termination reason: Instruction limit
% 6.29/2.51 % (515983)Termination phase: Saturation
% 6.29/2.51 % (515983)Time elapsed: 0.080 s
% 6.29/2.51 % (515983)Peak memory usage: 90 MB
% 6.29/2.51 % (515983)Instructions burned: 140 (million)
% 6.29/2.51 % (515990)lrs+10_1_sil=8000:sp=occurrence:random_seed=4077873610:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.29/2.51 % (515990)Instruction limit reached!
% 6.29/2.51 % (515990)------------------------------
% 6.29/2.51 % (515990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (515990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (515990)CaDiCaL version: 2.1.3
% 6.29/2.51 % (515990)Termination reason: Instruction limit
% 6.29/2.51 % (515990)Termination phase: Saturation
% 6.29/2.51 % (515990)Time elapsed: 0.095 s
% 6.29/2.51 % (515990)Peak memory usage: 91 MB
% 6.29/2.51 % (515990)Instructions burned: 286 (million)
% 6.29/2.51 % (515981)------------------------------
% 6.29/2.51 % (515981)------------------------------
% 6.29/2.51 % (515993)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2249974525:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.29/2.51 % (515984)------------------------------
% 6.29/2.51 % (515984)------------------------------
% 6.29/2.51 % (515995)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3194694571:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.29/2.51 % (515993)Instruction limit reached!
% 6.29/2.51 % (515993)------------------------------
% 6.29/2.51 % (515993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (515993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (515993)CaDiCaL version: 2.1.3
% 6.29/2.51 % (515993)Termination reason: Instruction limit
% 6.29/2.51 % (515993)Termination phase: Saturation
% 6.29/2.51 % (515993)Time elapsed: 0.094 s
% 6.29/2.51 % (515993)Peak memory usage: 90 MB
% 6.29/2.51 % (515993)Instructions burned: 158 (million)
% 6.29/2.51 % (515997)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=2609384508:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.29/2.51 % (515998)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3839776561:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.29/2.51 % (515995)Instruction limit reached!
% 6.29/2.51 % (515995)------------------------------
% 6.29/2.51 % (515995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (515995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (515995)CaDiCaL version: 2.1.3
% 6.29/2.51 % (515995)Termination reason: Instruction limit
% 6.29/2.51 % (515995)Termination phase: Saturation
% 6.29/2.51 % (515995)Time elapsed: 0.102 s
% 6.29/2.51 % (515995)Peak memory usage: 91 MB
% 6.29/2.51 % (515995)Instructions burned: 328 (million)
% 6.29/2.51 % (516000)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=738022770:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.29/2.51 % (515997)Instruction limit reached!
% 6.29/2.51 % (515997)------------------------------
% 6.29/2.51 % (515997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (515997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (515997)CaDiCaL version: 2.1.3
% 6.29/2.51 % (515997)Termination reason: Instruction limit
% 6.29/2.51 % (515997)Termination phase: Saturation
% 6.29/2.51 % (515997)Time elapsed: 0.152 s
% 6.29/2.51 % (515997)Peak memory usage: 91 MB
% 6.29/2.51 % (515997)Instructions burned: 248 (million)
% 6.29/2.51 % (516003)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2881984996:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.29/2.51 % (515998)Instruction limit reached!
% 6.29/2.51 % (515998)------------------------------
% 6.29/2.51 % (515998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (515998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (515998)CaDiCaL version: 2.1.3
% 6.29/2.51 % (515998)Termination reason: Instruction limit
% 6.29/2.51 % (515998)Termination phase: Saturation
% 6.29/2.51 % (515998)Time elapsed: 0.162 s
% 6.29/2.51 % (515998)Peak memory usage: 89 MB
% 6.29/2.51 % (515998)Instructions burned: 294 (million)
% 6.29/2.51 % (516003)Instruction limit reached!
% 6.29/2.51 % (516003)------------------------------
% 6.29/2.51 % (516003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (516003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (516003)CaDiCaL version: 2.1.3
% 6.29/2.51 % (516003)Termination reason: Instruction limit
% 6.29/2.51 % (516003)Termination phase: Saturation
% 6.29/2.51 % (516003)Time elapsed: 0.043 s
% 6.29/2.51 % (516003)Peak memory usage: 90 MB
% 6.29/2.51 % (516003)Instructions burned: 114 (million)
% 6.29/2.51 % (516005)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2853986892:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.29/2.51 % (516008)lrs+10_1_sil=8000:sp=occurrence:random_seed=2734042696:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.29/2.51 % (516007)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=919738628:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.29/2.51 % (516005)Instruction limit reached!
% 6.29/2.51 % (516005)------------------------------
% 6.29/2.51 % (516005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (516005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (516005)CaDiCaL version: 2.1.3
% 6.29/2.51 % (516005)Termination reason: Instruction limit
% 6.29/2.51 % (516005)Termination phase: Saturation
% 6.29/2.51 % (516005)Time elapsed: 0.062 s
% 6.29/2.51 % (516005)Peak memory usage: 89 MB
% 6.29/2.51 % (516005)Instructions burned: 129 (million)
% 6.29/2.51 % (516007)Instruction limit reached!
% 6.29/2.51 % (516007)------------------------------
% 6.29/2.51 % (516007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (516007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (516007)CaDiCaL version: 2.1.3
% 6.29/2.51 % (516007)Termination reason: Instruction limit
% 6.29/2.51 % (516007)Termination phase: Saturation
% 6.29/2.51 % (516007)Time elapsed: 0.071 s
% 6.29/2.51 % (516007)Peak memory usage: 89 MB
% 6.29/2.51 % (516007)Instructions burned: 114 (million)
% 6.29/2.51 % (516012)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2165132418:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.29/2.51 % (516013)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2049648964:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.29/2.51 % (516008)Instruction limit reached!
% 6.29/2.51 % (516008)------------------------------
% 6.29/2.51 % (516008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (516008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (516008)CaDiCaL version: 2.1.3
% 6.29/2.51 % (516008)Termination reason: Instruction limit
% 6.29/2.51 % (516008)Termination phase: Saturation
% 6.29/2.51 % (516008)Time elapsed: 0.273 s
% 6.29/2.51 % (516008)Peak memory usage: 95 MB
% 6.29/2.51 % (516008)Instructions burned: 909 (million)
% 6.29/2.51 % (516012)Instruction limit reached!
% 6.29/2.51 % (516012)------------------------------
% 6.29/2.51 % (516012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (516012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (516012)CaDiCaL version: 2.1.3
% 6.29/2.51 % (516012)Termination reason: Instruction limit
% 6.29/2.51 % (516012)Termination phase: Saturation
% 6.29/2.51 % (516012)Time elapsed: 0.190 s
% 6.29/2.51 % (516012)Peak memory usage: 90 MB
% 6.29/2.51 % (516012)Instructions burned: 439 (million)
% 6.29/2.51 % (516016)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2515698139:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 6.29/2.51 % (516016)Instruction limit reached!
% 6.29/2.51 % (516016)------------------------------
% 6.29/2.51 % (516016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (516016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (516016)CaDiCaL version: 2.1.3
% 6.29/2.51 % (516016)Termination reason: Instruction limit
% 6.29/2.51 % (516016)Termination phase: Saturation
% 6.29/2.51 % (516016)Time elapsed: 0.040 s
% 6.29/2.51 % (516016)Peak memory usage: 90 MB
% 6.29/2.51 % (516016)Instructions burned: 136 (million)
% 6.29/2.51 % (515978)First to succeed.
% 6.29/2.51 % (515978)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-515973"
% 6.29/2.51 % (516018)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1337220093:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 6.29/2.51 % (516018)Refutation not found, incomplete strategy
% 6.29/2.51 % (516018)------------------------------
% 6.29/2.51 % (516018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/2.51 % (516018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/2.51 % (516018)CaDiCaL version: 2.1.3
% 6.29/2.51 % (516018)Termination reason: Refutation not found, incomplete strategy
% 6.29/2.51 % (516018)Time elapsed: 0.002 s
% 6.29/2.51 % (516018)Peak memory usage: 88 MB
% 6.29/2.51 % (516018)Instructions burned: 1 (million)
% 6.29/2.51 % (516019)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2078831577:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 6.29/2.51 % (515978)Refutation found. Thanks to Tanya!
% 6.29/2.51 % SZS status Theorem for theBenchmark
% 6.29/2.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/2.70 % (515978)------------------------------
% 0.17/2.70 % (515978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.70 % (515978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.70 % (515978)CaDiCaL version: 2.1.3
% 0.17/2.70 % (515978)Termination reason: Refutation
% 0.17/2.70 % (515978)Time elapsed: 1.230 s
% 0.17/2.70 % (515978)Peak memory usage: 138 MB
% 0.17/2.70 % (515978)Instructions burned: 1885 (million)
% 0.17/2.70 % (515978)------------------------------
% 0.17/2.70 % (515978)------------------------------
% 0.17/2.70 % (515973)Success in time 1.664 s
% 0.17/2.70 % Vampire exiting
%------------------------------------------------------------------------------