%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE030+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 11:40:08 AM UTC 2026
% Result : Theorem 11.02s 2.47s
% Output : Refutation 11.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 23
% Syntax : Number of formulae : 172 ( 77 unt; 7 def)
% Number of atoms : 385 ( 114 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 363 ( 150 ~; 148 |; 48 &)
% ( 13 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 202 ( 0 sgn 188 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(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,axiom,
! [X0,X1,X2] :
( ismeet(X2,X0,X1)
<=> ( leq(X2,X0)
& leq(X2,X1)
& ! [X3] :
( ( leq(X3,X0)
& leq(X3,X1) )
=> leq(X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ismeet) ).
fof(f19,conjecture,
! [X0,X1,X2,X3] :
( ( test(X3)
& ismeet(X0,X1,X2) )
=> ismeet(multiplication(X3,X0),multiplication(X3,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( test(X3)
& ismeet(X0,X1,X2) )
=> ismeet(multiplication(X3,X0),multiplication(X3,X1),X2) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ismeet(X2,X0,X1)
<=> ( leq(X2,X0)
& leq(X2,X1)
& ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X0)
| ~ leq(X3,X1) ) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ismeet(X2,X0,X1)
<=> ( leq(X2,X0)
& leq(X2,X1)
& ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X0)
| ~ leq(X3,X1) ) ) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
? [X0,X1,X2,X3] :
( ~ ismeet(multiplication(X3,X0),multiplication(X3,X1),X2)
& test(X3)
& ismeet(X0,X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f26,plain,
? [X0,X1,X2,X3] :
( ~ ismeet(multiplication(X3,X0),multiplication(X3,X1),X2)
& test(X3)
& ismeet(X0,X1,X2) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f28,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f28]) ).
fof(f30,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))],[f29]) ).
fof(f31,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(f32,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,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f21]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( ismeet(X2,X0,X1)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ? [X3] :
( ~ leq(X3,X2)
& leq(X3,X0)
& leq(X3,X1) ) )
& ( ( leq(X2,X0)
& leq(X2,X1)
& ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X0)
| ~ leq(X3,X1) ) )
| ~ ismeet(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ismeet(X2,X0,X1)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ? [X3] :
( ~ leq(X3,X2)
& leq(X3,X0)
& leq(X3,X1) ) )
& ( ( leq(X2,X0)
& leq(X2,X1)
& ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X0)
| ~ leq(X3,X1) ) )
| ~ ismeet(X2,X0,X1) ) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( ismeet(X2,X0,X1)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ? [X3] :
( ~ leq(X3,X2)
& leq(X3,X0)
& leq(X3,X1) ) )
& ( ( leq(X2,X0)
& leq(X2,X1)
& ! [X4] :
( leq(X4,X2)
| ~ leq(X4,X0)
| ~ leq(X4,X1) ) )
| ~ ismeet(X2,X0,X1) ) ),
inference(rectify,[],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( ismeet(X2,X0,X1)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ( ~ leq(sK1(X0,X1,X2),X2)
& leq(sK1(X0,X1,X2),X0)
& leq(sK1(X0,X1,X2),X1) ) )
& ( ( leq(X2,X0)
& leq(X2,X1)
& ! [X4] :
( leq(X4,X2)
| ~ leq(X4,X0)
| ~ leq(X4,X1) ) )
| ~ ismeet(X2,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f36]) ).
fof(f38,plain,
( ~ ismeet(multiplication(sK5,sK2),multiplication(sK5,sK3),sK4)
& test(sK5)
& ismeet(sK2,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f26]) ).
fof(f39,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f40,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f41,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f43,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f44,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f45,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f46,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f47,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f49,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f50,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f51,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f52,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f32]) ).
fof(f56,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f58,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f61,plain,
! [X2,X0,X1,X4] :
( ~ ismeet(X2,X0,X1)
| ~ leq(X4,X0)
| ~ leq(X4,X1)
| leq(X4,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ ismeet(X2,X0,X1)
| leq(X2,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ ismeet(X2,X0,X1)
| leq(X2,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f64,plain,
! [X2,X0,X1] :
( leq(sK1(X0,X1,X2),X1)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ismeet(X2,X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f65,plain,
! [X2,X0,X1] :
( leq(sK1(X0,X1,X2),X0)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ismeet(X2,X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ leq(sK1(X0,X1,X2),X2)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ismeet(X2,X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f67,plain,
ismeet(sK2,sK3,sK4),
inference(cnf_transformation,[],[f38]) ).
fof(f68,plain,
test(sK5),
inference(cnf_transformation,[],[f38]) ).
fof(f69,plain,
~ ismeet(multiplication(sK5,sK2),multiplication(sK5,sK3),sK4),
inference(cnf_transformation,[],[f38]) ).
fof(f70,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f58]) ).
fof(f71,definition,
sF6 = multiplication(sK5,sK2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f72,plain,
multiplication(sK5,sK2) = sF6,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF7 = multiplication(sK5,sK3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f74,plain,
multiplication(sK5,sK3) = sF7,
inference(reorient_equations,[],[f73]) ).
fof(f75,plain,
~ ismeet(sF6,sF7,sK4),
inference(definition_folding,[],[f69,f74,f72]) ).
fof(f76,plain,
leq(sK2,sK4),
inference(resolution,[],[f62,f67]) ).
fof(f77,plain,
leq(sK2,sK3),
inference(resolution,[],[f63,f67]) ).
fof(f78,plain,
sK4 = addition(sK2,sK4),
inference(resolution,[],[f76,f50]) ).
fof(f86,plain,
! [X0] :
( ~ leq(X0,sK4)
| ~ leq(X0,sK3)
| leq(X0,sK2) ),
inference(resolution,[],[f61,f67]) ).
fof(f89,plain,
! [X0] :
( ~ test(X0)
| one = addition(c(X0),X0) ),
inference(resolution,[],[f54,f70]) ).
fof(f90,plain,
sK3 = addition(sK2,sK3),
inference(resolution,[],[f77,f50]) ).
fof(f94,plain,
! [X0] : multiplication(sK5,addition(X0,sK3)) = addition(multiplication(sK5,X0),sF7),
inference(superposition,[],[f46,f74]) ).
fof(f101,plain,
! [X2,X0,X1] :
( multiplication(X0,addition(X1,X2)) != multiplication(X0,X2)
| leq(multiplication(X0,X1),multiplication(X0,X2)) ),
inference(superposition,[],[f51,f46]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ismeet(X0,X1,X2)
| ~ leq(X0,X2)
| ~ leq(X0,X1)
| addition(sK1(X1,X2,X0),X2) = X2 ),
inference(resolution,[],[f64,f50]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ismeet(X0,X1,X2)
| ~ leq(X0,X2)
| ~ leq(X0,X1)
| addition(sK1(X1,X2,X0),X1) = X1 ),
inference(resolution,[],[f65,f50]) ).
fof(f143,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f47,f45]) ).
fof(f170,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f40,f46]) ).
fof(f176,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f39,f40]) ).
fof(f185,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(c(X0),X0) ),
inference(resolution,[],[f56,f70]) ).
fof(f189,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f40,f42]) ).
fof(f217,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f51,f189]) ).
fof(f219,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f217]) ).
fof(f252,plain,
one = addition(c(sK5),sK5),
inference(resolution,[],[f89,f68]) ).
fof(f298,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,[],[f170,f47]) ).
fof(f363,plain,
! [X0,X1] : addition(multiplication(X0,c(sK5)),multiplication(addition(X0,X1),sK5)) = addition(multiplication(X0,one),multiplication(X1,sK5)),
inference(superposition,[],[f298,f252]) ).
fof(f364,plain,
! [X0,X1] : addition(multiplication(X0,sK2),multiplication(addition(X0,X1),sK4)) = addition(multiplication(X0,sK4),multiplication(X1,sK4)),
inference(superposition,[],[f298,f78]) ).
fof(f442,plain,
! [X0,X1] : multiplication(addition(X0,X1),sK4) = addition(multiplication(X0,sK2),multiplication(addition(X0,X1),sK4)),
inference(forward_demodulation,[],[f364,f47]) ).
fof(f443,plain,
! [X0,X1] : addition(multiplication(X0,c(sK5)),multiplication(addition(X0,X1),sK5)) = addition(X0,multiplication(X1,sK5)),
inference(forward_demodulation,[],[f363,f44]) ).
fof(f641,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f39,f41]) ).
fof(f754,plain,
multiplication(sK5,sK3) = addition(multiplication(sK5,sK2),sF7),
inference(superposition,[],[f94,f90]) ).
fof(f776,plain,
multiplication(sK5,sK3) = addition(sF6,sF7),
inference(forward_demodulation,[],[f754,f72]) ).
fof(f784,plain,
sF7 = addition(sF6,sF7),
inference(forward_demodulation,[],[f776,f74]) ).
fof(f791,plain,
leq(sF6,sF7),
inference(superposition,[],[f219,f784]) ).
fof(f797,plain,
( ~ leq(sF6,sK4)
| ~ leq(sF6,sF7)
| sF7 = addition(sK1(sF7,sK4,sF6),sF7) ),
inference(resolution,[],[f116,f75]) ).
fof(f801,plain,
( ~ leq(sF6,sK4)
| sF7 = addition(sK1(sF7,sK4,sF6),sF7) ),
inference(forward_subsumption_resolution,[],[f797,f791]) ).
fof(f803,definition,
( spl8_7
<=> sF7 = addition(sK1(sF7,sK4,sF6),sF7) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
fof(f805,plain,
( sF7 = addition(sK1(sF7,sK4,sF6),sF7)
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f807,definition,
( spl8_8
<=> leq(sF6,sK4) ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
fof(f808,plain,
( leq(sF6,sK4)
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f809,plain,
( ~ leq(sF6,sK4)
| spl8_8 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f810,plain,
( spl8_7
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f801,f807,f803]) ).
fof(f811,plain,
( ~ leq(sF6,sK4)
| ~ leq(sF6,sF7)
| sK4 = addition(sK1(sF7,sK4,sF6),sK4) ),
inference(resolution,[],[f113,f75]) ).
fof(f964,plain,
zero = multiplication(c(sK5),sK5),
inference(resolution,[],[f185,f68]) ).
fof(f966,plain,
! [X0] : multiplication(zero,X0) = multiplication(c(sK5),multiplication(sK5,X0)),
inference(superposition,[],[f43,f964]) ).
fof(f985,plain,
! [X0] : zero = multiplication(c(sK5),multiplication(sK5,X0)),
inference(forward_demodulation,[],[f966,f49]) ).
fof(f994,plain,
zero = multiplication(c(sK5),sF7),
inference(superposition,[],[f985,f74]) ).
fof(f1022,plain,
! [X0] : addition(zero,multiplication(c(sK5),X0)) = multiplication(c(sK5),addition(sF7,X0)),
inference(superposition,[],[f46,f994]) ).
fof(f1039,plain,
! [X0] : multiplication(c(sK5),X0) = multiplication(c(sK5),addition(sF7,X0)),
inference(forward_demodulation,[],[f1022,f641]) ).
fof(f1932,plain,
! [X0] : addition(X0,multiplication(X0,sK5)) = addition(multiplication(X0,c(sK5)),multiplication(X0,sK5)),
inference(superposition,[],[f443,f42]) ).
fof(f1998,plain,
! [X0] : multiplication(X0,addition(c(sK5),sK5)) = addition(X0,multiplication(X0,sK5)),
inference(forward_demodulation,[],[f1932,f46]) ).
fof(f2016,plain,
! [X0] : multiplication(X0,one) = addition(X0,multiplication(X0,sK5)),
inference(forward_demodulation,[],[f1998,f252]) ).
fof(f2028,plain,
! [X0] : addition(X0,multiplication(X0,sK5)) = X0,
inference(forward_demodulation,[],[f2016,f44]) ).
fof(f2063,plain,
! [X0] : multiplication(one,X0) = addition(X0,multiplication(multiplication(one,sK5),X0)),
inference(superposition,[],[f143,f2028]) ).
fof(f2077,plain,
! [X0] : multiplication(one,X0) = addition(X0,multiplication(one,multiplication(sK5,X0))),
inference(forward_demodulation,[],[f2063,f43]) ).
fof(f2096,plain,
! [X0] : multiplication(one,X0) = addition(X0,multiplication(sK5,X0)),
inference(forward_demodulation,[],[f2077,f45]) ).
fof(f2106,plain,
! [X0] : addition(X0,multiplication(sK5,X0)) = X0,
inference(forward_demodulation,[],[f2096,f45]) ).
fof(f2141,plain,
sK3 = addition(sK3,sF7),
inference(superposition,[],[f2106,f74]) ).
fof(f4834,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,sK0(X0)) ),
inference(resolution,[],[f52,f54]) ).
fof(f4835,plain,
one = addition(sK5,sK0(sK5)),
inference(resolution,[],[f4834,f68]) ).
fof(f4989,plain,
multiplication(one,sK4) = addition(multiplication(sK5,sK2),multiplication(one,sK4)),
inference(superposition,[],[f442,f4835]) ).
fof(f5038,plain,
sK4 = addition(multiplication(sK5,sK2),sK4),
inference(forward_demodulation,[],[f4989,f45]) ).
fof(f5074,plain,
sK4 = addition(sF6,sK4),
inference(forward_demodulation,[],[f5038,f72]) ).
fof(f5101,plain,
( sK4 != sK4
| leq(sF6,sK4) ),
inference(superposition,[],[f51,f5074]) ).
fof(f5118,plain,
leq(sF6,sK4),
inference(trivial_inequality_removal,[],[f5101]) ).
fof(f5132,plain,
( $false
| spl8_8 ),
inference(forward_subsumption_resolution,[],[f5118,f809]) ).
fof(f5133,plain,
spl8_8,
inference(avatar_contradiction_clause,[],[f5132]) ).
fof(f5135,plain,
( ~ leq(sF6,sF7)
| sK4 = addition(sK1(sF7,sK4,sF6),sK4)
| ~ spl8_8 ),
inference(forward_subsumption_resolution,[],[f811,f808]) ).
fof(f5136,plain,
( sK4 = addition(sK1(sF7,sK4,sF6),sK4)
| ~ spl8_8 ),
inference(forward_subsumption_resolution,[],[f5135,f791]) ).
fof(f5152,plain,
( leq(sK1(sF7,sK4,sF6),sK4)
| ~ spl8_8 ),
inference(superposition,[],[f219,f5136]) ).
fof(f5178,plain,
( sF7 = addition(sF7,sK1(sF7,sK4,sF6))
| ~ spl8_7 ),
inference(superposition,[],[f39,f805]) ).
fof(f5184,plain,
( ! [X0] : addition(X0,sF7) = addition(sK1(sF7,sK4,sF6),addition(sF7,X0))
| ~ spl8_7 ),
inference(superposition,[],[f176,f805]) ).
fof(f5264,plain,
( ~ leq(sK1(sF7,sK4,sF6),sK3)
| leq(sK1(sF7,sK4,sF6),sK2)
| ~ spl8_8 ),
inference(resolution,[],[f5152,f86]) ).
fof(f5267,definition,
( spl8_86
<=> leq(sK1(sF7,sK4,sF6),sK2) ),
introduced(definition,[new_symbols(definition,[spl8_86])],[avatar_definition]) ).
fof(f5269,plain,
( leq(sK1(sF7,sK4,sF6),sK2)
| ~ spl8_86 ),
inference(avatar_component_clause,[],[f5267]) ).
fof(f5271,definition,
( spl8_87
<=> leq(sK1(sF7,sK4,sF6),sK3) ),
introduced(definition,[new_symbols(definition,[spl8_87])],[avatar_definition]) ).
fof(f5273,plain,
( ~ leq(sK1(sF7,sK4,sF6),sK3)
| spl8_87 ),
inference(avatar_component_clause,[],[f5271]) ).
fof(f5274,plain,
( spl8_86
| ~ spl8_87
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f5264,f807,f5271,f5267]) ).
fof(f5319,plain,
( multiplication(c(sK5),sF7) = multiplication(c(sK5),sK1(sF7,sK4,sF6))
| ~ spl8_7 ),
inference(superposition,[],[f1039,f5178]) ).
fof(f5343,plain,
( zero = multiplication(c(sK5),sK1(sF7,sK4,sF6))
| ~ spl8_7 ),
inference(forward_demodulation,[],[f5319,f994]) ).
fof(f5705,plain,
( ! [X0] : multiplication(addition(c(sK5),X0),sK1(sF7,sK4,sF6)) = addition(zero,multiplication(X0,sK1(sF7,sK4,sF6)))
| ~ spl8_7 ),
inference(superposition,[],[f47,f5343]) ).
fof(f5741,plain,
( ! [X0] : multiplication(X0,sK1(sF7,sK4,sF6)) = multiplication(addition(c(sK5),X0),sK1(sF7,sK4,sF6))
| ~ spl8_7 ),
inference(forward_demodulation,[],[f5705,f641]) ).
fof(f5986,plain,
( multiplication(one,sK1(sF7,sK4,sF6)) = multiplication(sK5,sK1(sF7,sK4,sF6))
| ~ spl8_7 ),
inference(superposition,[],[f5741,f252]) ).
fof(f6041,plain,
( sK1(sF7,sK4,sF6) = multiplication(sK5,sK1(sF7,sK4,sF6))
| ~ spl8_7 ),
inference(forward_demodulation,[],[f5986,f45]) ).
fof(f6052,definition,
( spl8_103
<=> sK1(sF7,sK4,sF6) = multiplication(sK5,sK1(sF7,sK4,sF6)) ),
introduced(definition,[new_symbols(definition,[spl8_103])],[avatar_definition]) ).
fof(f6054,plain,
( sK1(sF7,sK4,sF6) = multiplication(sK5,sK1(sF7,sK4,sF6))
| ~ spl8_103 ),
inference(avatar_component_clause,[],[f6052]) ).
fof(f6056,plain,
( spl8_103
| ~ spl8_7 ),
inference(avatar_split_clause,[],[f6041,f803,f6052]) ).
fof(f6612,plain,
( ! [X0] : leq(sK1(sF7,sK4,sF6),addition(X0,sF7))
| ~ spl8_7 ),
inference(superposition,[],[f219,f5184]) ).
fof(f6677,plain,
( leq(sK1(sF7,sK4,sF6),sK3)
| ~ spl8_7 ),
inference(superposition,[],[f6612,f2141]) ).
fof(f6679,plain,
( $false
| ~ spl8_7
| spl8_87 ),
inference(forward_subsumption_resolution,[],[f6677,f5273]) ).
fof(f6680,plain,
( ~ spl8_7
| spl8_87 ),
inference(avatar_contradiction_clause,[],[f6679]) ).
fof(f6685,plain,
( sK2 = addition(sK1(sF7,sK4,sF6),sK2)
| ~ spl8_86 ),
inference(resolution,[],[f5269,f50]) ).
fof(f6696,plain,
( ! [X0] :
( multiplication(X0,sK2) != multiplication(X0,sK2)
| leq(multiplication(X0,sK1(sF7,sK4,sF6)),multiplication(X0,sK2)) )
| ~ spl8_86 ),
inference(superposition,[],[f101,f6685]) ).
fof(f6714,plain,
( ! [X0] : leq(multiplication(X0,sK1(sF7,sK4,sF6)),multiplication(X0,sK2))
| ~ spl8_86 ),
inference(trivial_inequality_removal,[],[f6696]) ).
fof(f6744,plain,
( leq(multiplication(sK5,sK1(sF7,sK4,sF6)),sF6)
| ~ spl8_86 ),
inference(superposition,[],[f6714,f72]) ).
fof(f6745,plain,
( leq(sK1(sF7,sK4,sF6),sF6)
| ~ spl8_86
| ~ spl8_103 ),
inference(forward_demodulation,[],[f6744,f6054]) ).
fof(f6754,plain,
( ~ leq(sF6,sF7)
| ~ leq(sF6,sK4)
| ismeet(sF6,sF7,sK4)
| ~ spl8_86
| ~ spl8_103 ),
inference(resolution,[],[f6745,f66]) ).
fof(f6756,plain,
( ~ leq(sF6,sK4)
| ismeet(sF6,sF7,sK4)
| ~ spl8_86
| ~ spl8_103 ),
inference(forward_subsumption_resolution,[],[f6754,f791]) ).
fof(f6757,plain,
( ismeet(sF6,sF7,sK4)
| ~ spl8_8
| ~ spl8_86
| ~ spl8_103 ),
inference(forward_subsumption_resolution,[],[f6756,f808]) ).
fof(f6758,plain,
( $false
| ~ spl8_8
| ~ spl8_86
| ~ spl8_103 ),
inference(forward_subsumption_resolution,[],[f6757,f75]) ).
fof(f6759,plain,
( ~ spl8_8
| ~ spl8_86
| ~ spl8_103 ),
inference(avatar_contradiction_clause,[],[f6758]) ).
cnf(s4,plain,
( spl8_7
| ~ spl8_8 ),
inference(sat_conversion,[],[f810]) ).
cnf(s44,plain,
spl8_8,
inference(sat_conversion,[],[f5133]) ).
cnf(s47,plain,
( ~ spl8_8
| spl8_86
| ~ spl8_87 ),
inference(sat_conversion,[],[f5274]) ).
cnf(s56,plain,
( ~ spl8_7
| spl8_103 ),
inference(sat_conversion,[],[f6056]) ).
cnf(s64,plain,
( ~ spl8_7
| spl8_87 ),
inference(sat_conversion,[],[f6680]) ).
cnf(s67,plain,
( ~ spl8_8
| ~ spl8_86
| ~ spl8_103 ),
inference(sat_conversion,[],[f6759]) ).
cnf(s69,plain,
spl8_7,
inference(rat,[],[s4,s44]) ).
cnf(s70,plain,
spl8_87,
inference(rat,[],[s64,s69]) ).
cnf(s71,plain,
spl8_103,
inference(rat,[],[s56,s69]) ).
cnf(s73,plain,
spl8_86,
inference(rat,[],[s47,s44,s70]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s67,s44,s71,s73]) ).
fof(f6760,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE030+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 13:04:16 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.81/2.23 % (2384652)Detected formulas, will run a generic FOF schedule.
% 9.81/2.23 % (2384663)dis-21_1_sil=8000:lcm=predicate:random_seed=2004514426: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)
% 9.81/2.23 % (2384657)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=1260421691:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.81/2.23 % (2384663)Instruction limit reached!
% 9.81/2.23 % (2384663)------------------------------
% 9.81/2.23 % (2384663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.81/2.23 % (2384663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.81/2.23 % (2384663)CaDiCaL version: 2.1.3
% 9.81/2.23 % (2384663)Termination reason: Instruction limit
% 9.81/2.23 % (2384663)Termination phase: Saturation
% 9.81/2.23 % (2384663)Time elapsed: 0.038 s
% 9.81/2.23 % (2384663)Peak memory usage: 89 MB
% 9.81/2.23 % (2384663)Instructions burned: 129 (million)
% 9.81/2.23 % (2384660)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=330577043:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.81/2.23 % (2384659)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=1928059922:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.81/2.23 % (2384661)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1976262311:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.81/2.23 % (2384658)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=232479784:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.81/2.23 % (2384662)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2264901722:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.81/2.23 % (2384660)Refutation not found, incomplete strategy
% 9.81/2.23 % (2384660)------------------------------
% 9.81/2.23 % (2384660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.81/2.23 % (2384660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.81/2.23 % (2384660)CaDiCaL version: 2.1.3
% 9.81/2.23 % (2384660)Termination reason: Refutation not found, incomplete strategy
% 9.81/2.23 % (2384660)Time elapsed: 0.002 s
% 9.81/2.23 % (2384660)Peak memory usage: 88 MB
% 9.81/2.23 % (2384660)Instructions burned: 1 (million)
% 9.81/2.23 % (2384661)Instruction limit reached!
% 9.81/2.23 % (2384661)------------------------------
% 9.81/2.23 % (2384661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.81/2.23 % (2384661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.81/2.23 % (2384661)CaDiCaL version: 2.1.3
% 9.81/2.23 % (2384661)Termination reason: Instruction limit
% 9.81/2.23 % (2384661)Termination phase: Saturation
% 9.81/2.23 % (2384661)Time elapsed: 0.070 s
% 9.81/2.23 % (2384661)Peak memory usage: 88 MB
% 9.81/2.23 % (2384661)Instructions burned: 120 (million)
% 9.81/2.23 % (2384666)lrs+10_1_sil=8000:sp=occurrence:random_seed=990847759:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.81/2.23 % (2384662)Instruction limit reached!
% 9.81/2.23 % (2384662)------------------------------
% 9.81/2.23 % (2384662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.81/2.23 % (2384662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.81/2.23 % (2384662)CaDiCaL version: 2.1.3
% 9.81/2.23 % (2384662)Termination reason: Instruction limit
% 9.81/2.23 % (2384662)Termination phase: Saturation
% 9.81/2.23 % (2384662)Time elapsed: 0.083 s
% 9.81/2.23 % (2384662)Peak memory usage: 90 MB
% 9.81/2.23 % (2384662)Instructions burned: 139 (million)
% 9.81/2.23 % (2384666)Instruction limit reached!
% 9.81/2.23 % (2384666)------------------------------
% 9.81/2.23 % (2384666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.81/2.23 % (2384666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.81/2.23 % (2384666)CaDiCaL version: 2.1.3
% 9.81/2.23 % (2384666)Termination reason: Instruction limit
% 9.81/2.23 % (2384666)Termination phase: Saturation
% 9.81/2.23 % (2384666)Time elapsed: 0.097 s
% 9.81/2.23 % (2384666)Peak memory usage: 91 MB
% 9.81/2.23 % (2384666)Instructions burned: 288 (million)
% 9.81/2.23 % (2384672)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1408604344:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.02/2.46 % (2384674)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1710111361:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.02/2.46 % (2384660)------------------------------
% 11.02/2.46 % (2384660)------------------------------
% 11.02/2.46 % (2384675)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=2302437458:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 11.02/2.46 % (2384672)Instruction limit reached!
% 11.02/2.46 % (2384672)------------------------------
% 11.02/2.46 % (2384672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.46 % (2384672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.46 % (2384672)CaDiCaL version: 2.1.3
% 11.02/2.46 % (2384672)Termination reason: Instruction limit
% 11.02/2.46 % (2384672)Termination phase: Saturation
% 11.02/2.46 % (2384672)Time elapsed: 0.066 s
% 11.02/2.46 % (2384672)Peak memory usage: 89 MB
% 11.02/2.47 % (2384672)Instructions burned: 158 (million)
% 11.02/2.47 % (2384675)Instruction limit reached!
% 11.02/2.47 % (2384675)------------------------------
% 11.02/2.47 % (2384675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.47 % (2384675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.47 % (2384675)CaDiCaL version: 2.1.3
% 11.02/2.47 % (2384675)Termination reason: Instruction limit
% 11.02/2.47 % (2384675)Termination phase: Saturation
% 11.02/2.47 % (2384675)Time elapsed: 0.082 s
% 11.02/2.47 % (2384675)Peak memory usage: 91 MB
% 11.02/2.47 % (2384675)Instructions burned: 249 (million)
% 11.02/2.47 % (2384678)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=731237990:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.02/2.47 % (2384680)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3565828264:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 11.02/2.47 % (2384674)Instruction limit reached!
% 11.02/2.47 % (2384674)------------------------------
% 11.02/2.47 % (2384674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.47 % (2384674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.47 % (2384674)CaDiCaL version: 2.1.3
% 11.02/2.47 % (2384674)Termination reason: Instruction limit
% 11.02/2.47 % (2384674)Termination phase: Saturation
% 11.02/2.47 % (2384674)Time elapsed: 0.204 s
% 11.02/2.47 % (2384674)Peak memory usage: 93 MB
% 11.02/2.47 % (2384674)Instructions burned: 325 (million)
% 11.02/2.47 % (2384681)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1351183612:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.02/2.47 % (2384678)Instruction limit reached!
% 11.02/2.47 % (2384678)------------------------------
% 11.02/2.47 % (2384678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.47 % (2384678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.47 % (2384678)CaDiCaL version: 2.1.3
% 11.02/2.47 % (2384678)Termination reason: Instruction limit
% 11.02/2.47 % (2384678)Termination phase: Saturation
% 11.02/2.47 % (2384678)Time elapsed: 0.128 s
% 11.02/2.47 % (2384678)Peak memory usage: 89 MB
% 11.02/2.47 % (2384678)Instructions burned: 295 (million)
% 11.02/2.47 % (2384681)Instruction limit reached!
% 11.02/2.47 % (2384681)------------------------------
% 11.02/2.47 % (2384681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.47 % (2384681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.47 % (2384681)CaDiCaL version: 2.1.3
% 11.02/2.47 % (2384681)Termination reason: Instruction limit
% 11.02/2.47 % (2384681)Termination phase: Saturation
% 11.02/2.47 % (2384681)Time elapsed: 0.053 s
% 11.02/2.47 % (2384681)Peak memory usage: 90 MB
% 11.02/2.47 % (2384681)Instructions burned: 115 (million)
% 11.02/2.47 % (2384684)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1076085958:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 11.02/2.47 % (2384684)Instruction limit reached!
% 11.02/2.47 % (2384684)------------------------------
% 11.02/2.47 % (2384684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.47 % (2384684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.47 % (2384684)CaDiCaL version: 2.1.3
% 11.02/2.47 % (2384684)Termination reason: Instruction limit
% 11.02/2.47 % (2384684)Termination phase: Saturation
% 11.02/2.47 % (2384684)Time elapsed: 0.065 s
% 11.02/2.47 % (2384684)Peak memory usage: 89 MB
% 11.02/2.47 % (2384684)Instructions burned: 128 (million)
% 11.02/2.47 % (2384687)lrs+10_1_sil=8000:sp=occurrence:random_seed=175489217:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 11.02/2.47 % (2384686)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2859801038:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 11.02/2.47 % (2384686)Instruction limit reached!
% 11.02/2.47 % (2384686)------------------------------
% 11.02/2.47 % (2384686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.47 % (2384686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.47 % (2384686)CaDiCaL version: 2.1.3
% 11.02/2.47 % (2384686)Termination reason: Instruction limit
% 11.02/2.47 % (2384686)Termination phase: Saturation
% 11.02/2.47 % (2384686)Time elapsed: 0.063 s
% 11.02/2.47 % (2384686)Peak memory usage: 89 MB
% 11.02/2.47 % (2384686)Instructions burned: 114 (million)
% 11.02/2.47 % (2384690)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=803779396:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 11.02/2.47 % (2384690)Refutation not found, incomplete strategy
% 11.02/2.47 % (2384690)------------------------------
% 11.02/2.47 % (2384690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.47 % (2384690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.47 % (2384690)CaDiCaL version: 2.1.3
% 11.02/2.47 % (2384690)Termination reason: Refutation not found, incomplete strategy
% 11.02/2.47 % (2384690)Time elapsed: 0.002 s
% 11.02/2.47 % (2384690)Peak memory usage: 88 MB
% 11.02/2.47 % (2384690)Instructions burned: 1 (million)
% 11.02/2.47 % (2384692)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2818150479:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 11.02/2.47 % (2384687)Instruction limit reached!
% 11.02/2.47 % (2384687)------------------------------
% 11.02/2.47 % (2384687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.47 % (2384687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.47 % (2384687)CaDiCaL version: 2.1.3
% 11.02/2.47 % (2384687)Termination reason: Instruction limit
% 11.02/2.47 % (2384687)Termination phase: Saturation
% 11.02/2.47 % (2384687)Time elapsed: 0.282 s
% 11.02/2.47 % (2384687)Peak memory usage: 95 MB
% 11.02/2.47 % (2384687)Instructions burned: 909 (million)
% 11.02/2.47 % (2384690)------------------------------
% 11.02/2.47 % (2384690)------------------------------
% 11.02/2.47 % (2384695)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4113761050:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 11.02/2.47 % (2384695)Refutation not found, incomplete strategy
% 11.02/2.47 % (2384695)------------------------------
% 11.02/2.47 % (2384695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.47 % (2384695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.47 % (2384695)CaDiCaL version: 2.1.3
% 11.02/2.47 % (2384695)Termination reason: Refutation not found, incomplete strategy
% 11.02/2.47 % (2384695)Time elapsed: 0.001 s
% 11.02/2.47 % (2384695)Peak memory usage: 89 MB
% 11.02/2.47 % (2384695)Instructions burned: 1 (million)
% 11.02/2.47 % (2384696)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2833759394:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 11.02/2.47 % (2384696)Refutation not found, incomplete strategy
% 11.02/2.47 % (2384696)------------------------------
% 11.02/2.47 % (2384696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.47 % (2384696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.47 % (2384696)CaDiCaL version: 2.1.3
% 11.02/2.47 % (2384696)Termination reason: Refutation not found, incomplete strategy
% 11.02/2.47 % (2384696)Time elapsed: 0.002 s
% 11.02/2.47 % (2384696)Peak memory usage: 88 MB
% 11.02/2.47 % (2384696)Instructions burned: 2 (million)
% 11.02/2.47 % (2384695)------------------------------
% 11.02/2.47 % (2384695)------------------------------
% 11.02/2.47 % (2384657)First to succeed.
% 11.02/2.47 % (2384657)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2384652"
% 11.02/2.47 % (2384699)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1141985919:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 11.02/2.47 % (2384696)------------------------------
% 11.02/2.47 % (2384696)------------------------------
% 11.02/2.47 % (2384657)Refutation found. Thanks to Tanya!
% 11.02/2.47 % SZS status Theorem for theBenchmark
% 11.02/2.47 % SZS output start Proof for theBenchmark
% See solution above
% 11.91/2.66 % (2384657)------------------------------
% 11.91/2.66 % (2384657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.66 % (2384657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.66 % (2384657)CaDiCaL version: 2.1.3
% 11.91/2.66 % (2384657)Termination reason: Refutation
% 11.91/2.66 % (2384657)Time elapsed: 1.210 s
% 11.91/2.66 % (2384657)Peak memory usage: 139 MB
% 11.91/2.66 % (2384657)Instructions burned: 1861 (million)
% 11.91/2.66 % (2384657)------------------------------
% 11.91/2.66 % (2384657)------------------------------
% 11.91/2.66 % (2384652)Success in time 1.606 s
% 11.91/2.66 % Vampire exiting
%------------------------------------------------------------------------------