%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE032+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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:40:08 AM UTC 2026
% Result : Theorem 16.86s 3.39s
% Output : Refutation 17.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 27
% Syntax : Number of formulae : 199 ( 81 unt; 11 def)
% Number of atoms : 436 ( 155 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 418 ( 181 ~; 184 |; 33 &)
% ( 13 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-3 aty)
% Number of variables : 173 ( 0 sgn 162 !; 11 ?)
% 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(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(f16,axiom,
! [X0] :
( ~ test(X0)
=> c(X0) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_4) ).
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] :
( ( test(X2)
& test(X1) )
=> ismeet(multiplication(multiplication(X1,X2),X0),multiplication(X1,X0),multiplication(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2] :
( ( test(X2)
& test(X1) )
=> ismeet(multiplication(multiplication(X1,X2),X0),multiplication(X1,X0),multiplication(X2,X0)) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( leq(X2,X0)
& leq(X2,X1)
& ! [X3] :
( ( leq(X3,X0)
& leq(X3,X1) )
=> leq(X3,X2) ) )
=> ismeet(X2,X0,X1) ),
inference(unused_predicate_definition_removal,[],[f17]) ).
fof(f22,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f23,plain,
! [X0] :
( c(X0) = zero
| test(X0) ),
inference(ennf_transformation,[],[f16]) ).
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(ennf_transformation,[],[f21]) ).
fof(f25,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,[],[f24]) ).
fof(f26,plain,
? [X0,X1,X2] :
( ~ ismeet(multiplication(multiplication(X1,X2),X0),multiplication(X1,X0),multiplication(X2,X0))
& test(X2)
& test(X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f27,plain,
? [X0,X1,X2] :
( ~ ismeet(multiplication(multiplication(X1,X2),X0),multiplication(X1,X0),multiplication(X2,X0))
& test(X2)
& test(X1) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f29,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f30,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f29]) ).
fof(f31,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))],[f30]) ).
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(nnf_transformation,[],[f14]) ).
fof(f33,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,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f22]) ).
fof(f35,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) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f25]) ).
fof(f36,plain,
( ~ ismeet(multiplication(multiplication(sK3,sK4),sK2),multiplication(sK3,sK2),multiplication(sK4,sK2))
& test(sK4)
& test(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f27]) ).
fof(f37,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f38,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f39,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f40,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f41,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f43,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f44,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f47,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f48,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f28]) ).
fof(f49,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f51,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f52,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f33]) ).
fof(f53,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f54,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f55,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0)
| addition(X0,X1) != one ),
inference(cnf_transformation,[],[f33]) ).
fof(f56,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f57,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| c(X0) = X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f58,plain,
! [X0] :
( test(X0)
| zero = c(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f59,plain,
! [X2,X0,X1] :
( leq(sK1(X0,X1,X2),X1)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ismeet(X2,X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f60,plain,
! [X2,X0,X1] :
( leq(sK1(X0,X1,X2),X0)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ismeet(X2,X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ leq(sK1(X0,X1,X2),X2)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ismeet(X2,X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f62,plain,
test(sK3),
inference(cnf_transformation,[],[f36]) ).
fof(f63,plain,
test(sK4),
inference(cnf_transformation,[],[f36]) ).
fof(f64,plain,
~ ismeet(multiplication(multiplication(sK3,sK4),sK2),multiplication(sK3,sK2),multiplication(sK4,sK2)),
inference(cnf_transformation,[],[f36]) ).
fof(f65,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f56]) ).
fof(f66,definition,
sF5 = multiplication(sK3,sK4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f67,plain,
multiplication(sK3,sK4) = sF5,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF6 = multiplication(sF5,sK2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f69,plain,
multiplication(sF5,sK2) = sF6,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF7 = multiplication(sK3,sK2),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f71,plain,
multiplication(sK3,sK2) = sF7,
inference(reorient_equations,[],[f70]) ).
fof(f72,definition,
sF8 = multiplication(sK4,sK2),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f73,plain,
multiplication(sK4,sK2) = sF8,
inference(reorient_equations,[],[f72]) ).
fof(f74,plain,
~ ismeet(sF6,sF7,sF8),
inference(definition_folding,[],[f64,f73,f71,f69,f67]) ).
fof(f76,plain,
! [X0] : multiplication(sK3,multiplication(sK4,X0)) = multiplication(sF5,X0),
inference(superposition,[],[f41,f67]) ).
fof(f82,plain,
multiplication(sF5,sK2) = multiplication(sK3,sF8),
inference(superposition,[],[f76,f73]) ).
fof(f85,plain,
sF6 = multiplication(sK3,sF8),
inference(forward_demodulation,[],[f82,f69]) ).
fof(f88,plain,
! [X0] :
( one = addition(c(X0),X0)
| ~ test(X0) ),
inference(resolution,[],[f52,f65]) ).
fof(f89,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,c(X0)) ),
inference(forward_demodulation,[],[f88,f37]) ).
fof(f92,plain,
! [X0] : multiplication(sK3,addition(sK2,X0)) = addition(sF7,multiplication(sK3,X0)),
inference(superposition,[],[f44,f71]) ).
fof(f94,plain,
! [X0] : multiplication(sK3,addition(sF8,X0)) = addition(sF6,multiplication(sK3,X0)),
inference(superposition,[],[f44,f85]) ).
fof(f116,plain,
one = addition(sK4,c(sK4)),
inference(resolution,[],[f89,f63]) ).
fof(f117,plain,
one = addition(sK3,c(sK3)),
inference(resolution,[],[f89,f62]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ leq(X0,X1)
| ~ leq(X0,X2)
| ismeet(X0,X1,X2)
| addition(sK1(X1,X2,X0),X2) = X2 ),
inference(resolution,[],[f59,f48]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ismeet(X0,X1,X2)
| ~ leq(X0,X1)
| ~ leq(X0,X2)
| addition(X2,sK1(X1,X2,X0)) = X2 ),
inference(forward_demodulation,[],[f145,f37]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ leq(X0,X1)
| ~ leq(X0,X2)
| ismeet(X0,X1,X2)
| addition(sK1(X1,X2,X0),X1) = X1 ),
inference(resolution,[],[f60,f48]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ismeet(X0,X1,X2)
| ~ leq(X0,X1)
| ~ leq(X0,X2)
| addition(X1,sK1(X1,X2,X0)) = X1 ),
inference(forward_demodulation,[],[f149,f37]) ).
fof(f194,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f45,f43]) ).
fof(f249,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f38,f40]) ).
fof(f251,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f38,f44]) ).
fof(f271,plain,
one = addition(sK3,one),
inference(superposition,[],[f249,f117]) ).
fof(f272,plain,
one = addition(sK4,one),
inference(superposition,[],[f249,f116]) ).
fof(f275,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f49,f249]) ).
fof(f277,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f275]) ).
fof(f281,plain,
one = addition(one,sK4),
inference(forward_demodulation,[],[f272,f37]) ).
fof(f282,plain,
one = addition(one,sK3),
inference(forward_demodulation,[],[f271,f37]) ).
fof(f312,plain,
! [X0,X1] : leq(X1,addition(X0,X1)),
inference(superposition,[],[f277,f37]) ).
fof(f329,plain,
multiplication(addition(one,sK3),sF8) = addition(sF8,sF6),
inference(superposition,[],[f194,f85]) ).
fof(f330,plain,
multiplication(addition(one,sK4),sK2) = addition(sK2,sF8),
inference(superposition,[],[f194,f73]) ).
fof(f345,plain,
addition(sK2,sF8) = multiplication(one,sK2),
inference(forward_demodulation,[],[f330,f281]) ).
fof(f346,plain,
multiplication(addition(one,sK3),sF8) = addition(sF6,sF8),
inference(forward_demodulation,[],[f329,f37]) ).
fof(f353,plain,
sK2 = addition(sK2,sF8),
inference(forward_demodulation,[],[f345,f43]) ).
fof(f354,plain,
addition(sF6,sF8) = multiplication(one,sF8),
inference(forward_demodulation,[],[f346,f282]) ).
fof(f361,plain,
sF8 = addition(sF6,sF8),
inference(forward_demodulation,[],[f354,f43]) ).
fof(f367,plain,
( sF8 != sF8
| leq(sF6,sF8) ),
inference(superposition,[],[f49,f361]) ).
fof(f368,plain,
leq(sF6,sF8),
inference(trivial_inequality_removal,[],[f367]) ).
fof(f409,plain,
( ~ leq(sF6,sF7)
| ~ leq(sF6,sF8)
| sF8 = addition(sF8,sK1(sF7,sF8,sF6)) ),
inference(resolution,[],[f147,f74]) ).
fof(f410,plain,
( ~ leq(sF6,sF7)
| sF8 = addition(sF8,sK1(sF7,sF8,sF6)) ),
inference(forward_subsumption_resolution,[],[f409,f368]) ).
fof(f412,definition,
( spl9_15
<=> sF8 = addition(sF8,sK1(sF7,sF8,sF6)) ),
introduced(definition,[new_symbols(definition,[spl9_15])],[avatar_definition]) ).
fof(f414,plain,
( sF8 = addition(sF8,sK1(sF7,sF8,sF6))
| ~ spl9_15 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f416,definition,
( spl9_16
<=> leq(sF6,sF7) ),
introduced(definition,[new_symbols(definition,[spl9_16])],[avatar_definition]) ).
fof(f417,plain,
( leq(sF6,sF7)
| ~ spl9_16 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f418,plain,
( ~ leq(sF6,sF7)
| spl9_16 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f419,plain,
( spl9_15
| ~ spl9_16 ),
inference(avatar_split_clause,[],[f410,f416,f412]) ).
fof(f420,plain,
( ~ leq(sF6,sF7)
| ~ leq(sF6,sF8)
| sF7 = addition(sF7,sK1(sF7,sF8,sF6)) ),
inference(resolution,[],[f151,f74]) ).
fof(f421,plain,
! [X0] :
( one = addition(X0,c(X0))
| zero = c(X0) ),
inference(resolution,[],[f58,f89]) ).
fof(f487,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(c(X0),X0) ),
inference(resolution,[],[f54,f65]) ).
fof(f495,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f37,f39]) ).
fof(f507,plain,
! [X0] :
( X0 != X0
| leq(zero,X0) ),
inference(superposition,[],[f49,f495]) ).
fof(f510,plain,
! [X0] : leq(zero,X0),
inference(trivial_inequality_removal,[],[f507]) ).
fof(f515,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,c(X0)) ),
inference(resolution,[],[f53,f65]) ).
fof(f570,plain,
multiplication(sK3,addition(sK2,sF8)) = addition(sF7,sF6),
inference(superposition,[],[f92,f85]) ).
fof(f582,plain,
multiplication(sK3,addition(sK2,sF8)) = addition(sF6,sF7),
inference(forward_demodulation,[],[f570,f37]) ).
fof(f589,plain,
multiplication(sK3,sK2) = addition(sF6,sF7),
inference(forward_demodulation,[],[f582,f353]) ).
fof(f594,plain,
sF7 = addition(sF6,sF7),
inference(forward_demodulation,[],[f589,f71]) ).
fof(f595,plain,
leq(sF6,sF7),
inference(superposition,[],[f277,f594]) ).
fof(f602,plain,
( $false
| spl9_16 ),
inference(forward_subsumption_resolution,[],[f595,f418]) ).
fof(f603,plain,
spl9_16,
inference(avatar_contradiction_clause,[],[f602]) ).
fof(f604,plain,
( ~ leq(sF6,sF8)
| sF7 = addition(sF7,sK1(sF7,sF8,sF6))
| ~ spl9_16 ),
inference(forward_subsumption_resolution,[],[f420,f417]) ).
fof(f605,plain,
( sF7 = addition(sF7,sK1(sF7,sF8,sF6))
| ~ spl9_16 ),
inference(forward_subsumption_resolution,[],[f604,f368]) ).
fof(f707,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,[],[f251,f45]) ).
fof(f791,plain,
( ! [X0,X1] : addition(multiplication(X0,sF7),multiplication(addition(X0,X1),sK1(sF7,sF8,sF6))) = addition(multiplication(X0,sF7),multiplication(X1,sK1(sF7,sF8,sF6)))
| ~ spl9_16 ),
inference(superposition,[],[f707,f605]) ).
fof(f1499,plain,
zero = multiplication(sK3,c(sK3)),
inference(resolution,[],[f515,f62]) ).
fof(f1566,plain,
zero = multiplication(c(sK3),sK3),
inference(resolution,[],[f487,f62]) ).
fof(f1597,plain,
! [X0] : multiplication(zero,X0) = multiplication(c(sK3),multiplication(sK3,X0)),
inference(superposition,[],[f41,f1566]) ).
fof(f1602,plain,
( zero != zero
| zero != multiplication(sK3,c(sK3))
| complement(c(sK3),sK3)
| one != addition(sK3,c(sK3)) ),
inference(superposition,[],[f55,f1566]) ).
fof(f1609,plain,
( zero != multiplication(sK3,c(sK3))
| complement(c(sK3),sK3)
| one != addition(sK3,c(sK3)) ),
inference(trivial_inequality_removal,[],[f1602]) ).
fof(f1616,plain,
( complement(c(sK3),sK3)
| one != addition(sK3,c(sK3)) ),
inference(forward_subsumption_resolution,[],[f1609,f1499]) ).
fof(f1621,plain,
! [X0] : zero = multiplication(c(sK3),multiplication(sK3,X0)),
inference(forward_demodulation,[],[f1597,f47]) ).
fof(f1624,plain,
complement(c(sK3),sK3),
inference(forward_subsumption_resolution,[],[f1616,f117]) ).
fof(f1641,plain,
( sK3 = c(c(sK3))
| ~ test(c(sK3)) ),
inference(resolution,[],[f1624,f57]) ).
fof(f1644,definition,
( spl9_61
<=> test(c(sK3)) ),
introduced(definition,[new_symbols(definition,[spl9_61])],[avatar_definition]) ).
fof(f1646,plain,
( ~ test(c(sK3))
| spl9_61 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f1648,definition,
( spl9_62
<=> sK3 = c(c(sK3)) ),
introduced(definition,[new_symbols(definition,[spl9_62])],[avatar_definition]) ).
fof(f1650,plain,
( sK3 = c(c(sK3))
| ~ spl9_62 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f1651,plain,
( ~ spl9_61
| spl9_62 ),
inference(avatar_split_clause,[],[f1641,f1648,f1644]) ).
fof(f3642,plain,
( zero != zero
| zero != multiplication(c(sK3),sK3)
| complement(sK3,c(sK3))
| one != addition(c(sK3),sK3) ),
inference(superposition,[],[f55,f1499]) ).
fof(f3650,plain,
( zero != multiplication(c(sK3),sK3)
| complement(sK3,c(sK3))
| one != addition(c(sK3),sK3) ),
inference(trivial_inequality_removal,[],[f3642]) ).
fof(f3658,plain,
( complement(sK3,c(sK3))
| one != addition(c(sK3),sK3) ),
inference(forward_subsumption_resolution,[],[f3650,f1566]) ).
fof(f3668,plain,
( one != addition(sK3,c(sK3))
| complement(sK3,c(sK3)) ),
inference(forward_demodulation,[],[f3658,f37]) ).
fof(f3672,plain,
complement(sK3,c(sK3)),
inference(forward_subsumption_resolution,[],[f3668,f117]) ).
fof(f3673,plain,
test(c(sK3)),
inference(resolution,[],[f3672,f51]) ).
fof(f3679,plain,
( $false
| spl9_61 ),
inference(forward_subsumption_resolution,[],[f3673,f1646]) ).
fof(f3680,plain,
spl9_61,
inference(avatar_contradiction_clause,[],[f3679]) ).
fof(f4321,plain,
zero = multiplication(c(sK3),sF7),
inference(superposition,[],[f1621,f71]) ).
fof(f5077,plain,
( ! [X0] : addition(zero,multiplication(X0,sK1(sF7,sF8,sF6))) = addition(zero,multiplication(addition(c(sK3),X0),sK1(sF7,sF8,sF6)))
| ~ spl9_16 ),
inference(superposition,[],[f791,f4321]) ).
fof(f5238,plain,
( ! [X0] : addition(zero,multiplication(X0,sK1(sF7,sF8,sF6))) = multiplication(addition(c(sK3),X0),sK1(sF7,sF8,sF6))
| ~ spl9_16 ),
inference(forward_demodulation,[],[f5077,f495]) ).
fof(f5298,plain,
( ! [X0] : multiplication(X0,sK1(sF7,sF8,sF6)) = multiplication(addition(c(sK3),X0),sK1(sF7,sF8,sF6))
| ~ spl9_16 ),
inference(forward_demodulation,[],[f5238,f495]) ).
fof(f5508,plain,
( ! [X0] : multiplication(X0,sK1(sF7,sF8,sF6)) = multiplication(addition(X0,c(sK3)),sK1(sF7,sF8,sF6))
| ~ spl9_16 ),
inference(superposition,[],[f5298,f37]) ).
fof(f5516,plain,
( multiplication(one,sK1(sF7,sF8,sF6)) = multiplication(c(c(sK3)),sK1(sF7,sF8,sF6))
| zero = c(c(sK3))
| ~ spl9_16 ),
inference(superposition,[],[f5298,f421]) ).
fof(f5543,plain,
( multiplication(one,sK1(sF7,sF8,sF6)) = multiplication(sK3,sK1(sF7,sF8,sF6))
| zero = c(c(sK3))
| ~ spl9_16
| ~ spl9_62 ),
inference(forward_demodulation,[],[f5516,f1650]) ).
fof(f5551,plain,
( sK1(sF7,sF8,sF6) = multiplication(sK3,sK1(sF7,sF8,sF6))
| zero = c(c(sK3))
| ~ spl9_16
| ~ spl9_62 ),
inference(forward_demodulation,[],[f5543,f43]) ).
fof(f5556,plain,
( zero = sK3
| sK1(sF7,sF8,sF6) = multiplication(sK3,sK1(sF7,sF8,sF6))
| ~ spl9_16
| ~ spl9_62 ),
inference(forward_demodulation,[],[f5551,f1650]) ).
fof(f5561,definition,
( spl9_146
<=> sK1(sF7,sF8,sF6) = multiplication(sK3,sK1(sF7,sF8,sF6)) ),
introduced(definition,[new_symbols(definition,[spl9_146])],[avatar_definition]) ).
fof(f5563,plain,
( sK1(sF7,sF8,sF6) = multiplication(sK3,sK1(sF7,sF8,sF6))
| ~ spl9_146 ),
inference(avatar_component_clause,[],[f5561]) ).
fof(f5565,definition,
( spl9_147
<=> zero = sK3 ),
introduced(definition,[new_symbols(definition,[spl9_147])],[avatar_definition]) ).
fof(f5567,plain,
( zero = sK3
| ~ spl9_147 ),
inference(avatar_component_clause,[],[f5565]) ).
fof(f5568,plain,
( spl9_146
| spl9_147
| ~ spl9_16
| ~ spl9_62 ),
inference(avatar_split_clause,[],[f5556,f1648,f416,f5565,f5561]) ).
fof(f5649,definition,
( spl9_153
<=> zero = sK1(sF7,sF8,sF6) ),
introduced(definition,[new_symbols(definition,[spl9_153])],[avatar_definition]) ).
fof(f5650,plain,
( zero = sK1(sF7,sF8,sF6)
| ~ spl9_153 ),
inference(avatar_component_clause,[],[f5649]) ).
fof(f6066,plain,
( multiplication(one,sK1(sF7,sF8,sF6)) = multiplication(sK3,sK1(sF7,sF8,sF6))
| ~ spl9_16 ),
inference(superposition,[],[f5508,f117]) ).
fof(f8543,plain,
( multiplication(sK3,addition(sF8,sK1(sF7,sF8,sF6))) = addition(sF6,sK1(sF7,sF8,sF6))
| ~ spl9_146 ),
inference(superposition,[],[f94,f5563]) ).
fof(f8603,plain,
( multiplication(sK3,sF8) = addition(sF6,sK1(sF7,sF8,sF6))
| ~ spl9_15
| ~ spl9_146 ),
inference(forward_demodulation,[],[f8543,f414]) ).
fof(f8629,plain,
( sF6 = addition(sF6,sK1(sF7,sF8,sF6))
| ~ spl9_15
| ~ spl9_146 ),
inference(forward_demodulation,[],[f8603,f85]) ).
fof(f8679,plain,
( leq(sK1(sF7,sF8,sF6),sF6)
| ~ spl9_15
| ~ spl9_146 ),
inference(superposition,[],[f312,f8629]) ).
fof(f8713,plain,
( ~ leq(sF6,sF7)
| ~ leq(sF6,sF8)
| ismeet(sF6,sF7,sF8)
| ~ spl9_15
| ~ spl9_146 ),
inference(resolution,[],[f8679,f61]) ).
fof(f8716,plain,
( ~ leq(sF6,sF8)
| ismeet(sF6,sF7,sF8)
| ~ spl9_15
| ~ spl9_16
| ~ spl9_146 ),
inference(forward_subsumption_resolution,[],[f8713,f417]) ).
fof(f8717,plain,
( ismeet(sF6,sF7,sF8)
| ~ spl9_15
| ~ spl9_16
| ~ spl9_146 ),
inference(forward_subsumption_resolution,[],[f8716,f368]) ).
fof(f8718,plain,
( $false
| ~ spl9_15
| ~ spl9_16
| ~ spl9_146 ),
inference(forward_subsumption_resolution,[],[f8717,f74]) ).
fof(f8719,plain,
( ~ spl9_15
| ~ spl9_16
| ~ spl9_146 ),
inference(avatar_contradiction_clause,[],[f8718]) ).
fof(f8720,plain,
( multiplication(zero,sK1(sF7,sF8,sF6)) = multiplication(one,sK1(sF7,sF8,sF6))
| ~ spl9_16
| ~ spl9_147 ),
inference(forward_demodulation,[],[f6066,f5567]) ).
fof(f8722,plain,
( sK1(sF7,sF8,sF6) = multiplication(zero,sK1(sF7,sF8,sF6))
| ~ spl9_16
| ~ spl9_147 ),
inference(forward_demodulation,[],[f8720,f43]) ).
fof(f8724,plain,
( zero = sK1(sF7,sF8,sF6)
| ~ spl9_16
| ~ spl9_147 ),
inference(forward_demodulation,[],[f8722,f47]) ).
fof(f8726,plain,
( spl9_153
| ~ spl9_16
| ~ spl9_147 ),
inference(avatar_split_clause,[],[f8724,f5565,f416,f5649]) ).
fof(f8774,plain,
( ~ leq(zero,sF6)
| ~ leq(sF6,sF7)
| ~ leq(sF6,sF8)
| ismeet(sF6,sF7,sF8)
| ~ spl9_153 ),
inference(superposition,[],[f61,f5650]) ).
fof(f8775,plain,
( ~ leq(sF6,sF7)
| ~ leq(sF6,sF8)
| ismeet(sF6,sF7,sF8)
| ~ spl9_153 ),
inference(forward_subsumption_resolution,[],[f8774,f510]) ).
fof(f8808,plain,
( ~ leq(sF6,sF8)
| ismeet(sF6,sF7,sF8)
| ~ spl9_16
| ~ spl9_153 ),
inference(forward_subsumption_resolution,[],[f8775,f417]) ).
fof(f8815,plain,
( ismeet(sF6,sF7,sF8)
| ~ spl9_16
| ~ spl9_153 ),
inference(forward_subsumption_resolution,[],[f8808,f368]) ).
fof(f8816,plain,
( $false
| ~ spl9_16
| ~ spl9_153 ),
inference(forward_subsumption_resolution,[],[f8815,f74]) ).
fof(f8817,plain,
( ~ spl9_16
| ~ spl9_153 ),
inference(avatar_contradiction_clause,[],[f8816]) ).
cnf(s8,plain,
( spl9_15
| ~ spl9_16 ),
inference(sat_conversion,[],[f419]) ).
cnf(s11,plain,
spl9_16,
inference(sat_conversion,[],[f603]) ).
cnf(s30,plain,
( ~ spl9_61
| spl9_62 ),
inference(sat_conversion,[],[f1651]) ).
cnf(s55,plain,
spl9_61,
inference(sat_conversion,[],[f3680]) ).
cnf(s69,plain,
( ~ spl9_16
| ~ spl9_62
| spl9_146
| spl9_147 ),
inference(sat_conversion,[],[f5568]) ).
cnf(s88,plain,
( ~ spl9_15
| ~ spl9_16
| ~ spl9_146 ),
inference(sat_conversion,[],[f8719]) ).
cnf(s89,plain,
( ~ spl9_16
| ~ spl9_147
| spl9_153 ),
inference(sat_conversion,[],[f8726]) ).
cnf(s93,plain,
( ~ spl9_16
| ~ spl9_153 ),
inference(sat_conversion,[],[f8817]) ).
cnf(s94,plain,
spl9_62,
inference(rat,[],[s30,s55]) ).
cnf(s96,plain,
~ spl9_153,
inference(rat,[],[s93,s11]) ).
cnf(s97,plain,
~ spl9_147,
inference(rat,[],[s89,s96,s11]) ).
cnf(s98,plain,
spl9_146,
inference(rat,[],[s69,s97,s94,s11]) ).
cnf(s99,plain,
~ spl9_15,
inference(rat,[],[s88,s11,s98]) ).
cnf(s100,plain,
$false,
inference(rat,[],[s8,s11,s99]) ).
fof(f8818,plain,
$false,
inference(avatar_sat_refutation,[],[s100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE032+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:04:04 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 11.36/2.79 % (3076392)Detected formulas, will run a generic FOF schedule.
% 11.36/2.79 % (3076427)dis-21_1_sil=8000:lcm=predicate:random_seed=2510767816: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)
% 11.36/2.79 % (3076426)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=169724530:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.36/2.79 % (3076427)Refutation not found, incomplete strategy
% 11.36/2.79 % (3076427)------------------------------
% 11.36/2.79 % (3076427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.36/2.79 % (3076427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.36/2.79 % (3076427)CaDiCaL version: 2.1.3
% 11.36/2.79 % (3076427)Termination reason: Refutation not found, incomplete strategy
% 11.36/2.79 % (3076427)Time elapsed: 0.002 s
% 11.36/2.79 % (3076427)Peak memory usage: 88 MB
% 11.36/2.79 % (3076427)Instructions burned: 2 (million)
% 11.36/2.79 % (3076422)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=2285105626:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.36/2.79 % (3076420)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=3810066899:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.36/2.79 % (3076425)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3777169206:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.36/2.79 % (3076421)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=3902357167:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.36/2.79 % (3076424)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3647049756:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.36/2.79 % (3076424)Refutation not found, incomplete strategy
% 11.36/2.79 % (3076424)------------------------------
% 11.36/2.79 % (3076424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.36/2.79 % (3076424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.36/2.79 % (3076424)CaDiCaL version: 2.1.3
% 11.36/2.79 % (3076424)Termination reason: Refutation not found, incomplete strategy
% 11.36/2.79 % (3076424)Time elapsed: 0.002 s
% 11.36/2.79 % (3076424)Peak memory usage: 88 MB
% 11.36/2.79 % (3076426)Instruction limit reached!
% 11.36/2.79 % (3076426)------------------------------
% 11.36/2.79 % (3076426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.36/2.79 % (3076426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.36/2.79 % (3076426)CaDiCaL version: 2.1.3
% 11.36/2.79 % (3076426)Termination reason: Instruction limit
% 11.36/2.79 % (3076426)Termination phase: Saturation
% 11.36/2.79 % (3076426)Time elapsed: 0.136 s
% 11.36/2.79 % (3076426)Peak memory usage: 90 MB
% 11.36/2.79 % (3076426)Instructions burned: 139 (million)
% 11.36/2.79 % (3076425)Instruction limit reached!
% 11.36/2.79 % (3076425)------------------------------
% 11.36/2.79 % (3076425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.36/2.79 % (3076425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.36/2.79 % (3076425)CaDiCaL version: 2.1.3
% 11.36/2.79 % (3076425)Termination reason: Instruction limit
% 11.36/2.79 % (3076425)Termination phase: Saturation
% 11.36/2.79 % (3076425)Time elapsed: 0.090 s
% 11.36/2.79 % (3076425)Peak memory usage: 88 MB
% 11.36/2.79 % (3076425)Instructions burned: 119 (million)
% 11.36/2.79 % (3076427)------------------------------
% 11.36/2.79 % (3076427)------------------------------
% 11.36/2.79 % (3076440)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2530517980:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.36/2.79 % (3076439)lrs+10_1_sil=8000:sp=occurrence:random_seed=1887938611:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.36/2.79 % (3076440)Instruction limit reached!
% 11.36/2.79 % (3076440)------------------------------
% 11.36/2.79 % (3076440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.36/2.79 % (3076440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.36/2.79 % (3076440)CaDiCaL version: 2.1.3
% 11.36/2.79 % (3076440)Termination reason: Instruction limit
% 16.86/3.39 % (3076440)Termination phase: Saturation
% 16.86/3.39 % (3076440)Time elapsed: 0.091 s
% 16.86/3.39 % (3076440)Peak memory usage: 89 MB
% 16.86/3.39 % (3076440)Instructions burned: 157 (million)
% 16.86/3.39 % (3076443)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3117627093:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 16.86/3.39 % (3076424)------------------------------
% 16.86/3.39 % (3076424)------------------------------
% 16.86/3.39 % (3076439)Instruction limit reached!
% 16.86/3.39 % (3076439)------------------------------
% 16.86/3.39 % (3076439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076439)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076439)Termination reason: Instruction limit
% 16.86/3.39 % (3076439)Termination phase: Saturation
% 16.86/3.39 % (3076439)Time elapsed: 0.165 s
% 16.86/3.39 % (3076439)Peak memory usage: 91 MB
% 16.86/3.39 % (3076439)Instructions burned: 285 (million)
% 16.86/3.39 % (3076447)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=1656525278:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 16.86/3.39 % (3076451)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1972346677:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 16.86/3.39 % (3076454)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3378630439:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 16.86/3.39 % (3076443)Instruction limit reached!
% 16.86/3.39 % (3076443)------------------------------
% 16.86/3.39 % (3076443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076443)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076443)Termination reason: Instruction limit
% 16.86/3.39 % (3076443)Termination phase: Saturation
% 16.86/3.39 % (3076443)Time elapsed: 0.335 s
% 16.86/3.39 % (3076443)Peak memory usage: 93 MB
% 16.86/3.39 % (3076443)Instructions burned: 325 (million)
% 16.86/3.39 % (3076451)Instruction limit reached!
% 16.86/3.39 % (3076451)------------------------------
% 16.86/3.39 % (3076451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076451)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076451)Termination reason: Instruction limit
% 16.86/3.39 % (3076451)Termination phase: Saturation
% 16.86/3.39 % (3076451)Time elapsed: 0.199 s
% 16.86/3.39 % (3076451)Peak memory usage: 89 MB
% 16.86/3.39 % (3076451)Instructions burned: 294 (million)
% 16.86/3.39 % (3076447)Instruction limit reached!
% 16.86/3.39 % (3076447)------------------------------
% 16.86/3.39 % (3076447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076447)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076447)Termination reason: Instruction limit
% 16.86/3.39 % (3076447)Termination phase: Saturation
% 16.86/3.39 % (3076447)Time elapsed: 0.231 s
% 16.86/3.39 % (3076447)Peak memory usage: 91 MB
% 16.86/3.39 % (3076447)Instructions burned: 249 (million)
% 16.86/3.39 % (3076422)Refutation not found, incomplete strategy
% 16.86/3.39 % (3076422)------------------------------
% 16.86/3.39 % (3076422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076422)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076422)Termination reason: Refutation not found, incomplete strategy
% 16.86/3.39 % (3076422)Time elapsed: 0.924 s
% 16.86/3.39 % (3076422)Peak memory usage: 128 MB
% 16.86/3.39 % (3076422)Instructions burned: 895 (million)
% 16.86/3.39 % (3076460)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1870128969:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 16.86/3.39 % (3076461)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=391271172:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 16.86/3.39 % (3076462)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2707594254:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 16.86/3.39 % (3076462)Refutation not found, incomplete strategy
% 16.86/3.39 % (3076462)------------------------------
% 16.86/3.39 % (3076462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076462)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076462)Termination reason: Refutation not found, incomplete strategy
% 16.86/3.39 % (3076462)Time elapsed: 0.002 s
% 16.86/3.39 % (3076462)Peak memory usage: 88 MB
% 16.86/3.39 % (3076462)Instructions burned: 1 (million)
% 16.86/3.39 % (3076460)Instruction limit reached!
% 16.86/3.39 % (3076460)------------------------------
% 16.86/3.39 % (3076460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076460)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076460)Termination reason: Instruction limit
% 16.86/3.39 % (3076460)Termination phase: Saturation
% 16.86/3.39 % (3076460)Time elapsed: 0.077 s
% 16.86/3.39 % (3076460)Peak memory usage: 90 MB
% 16.86/3.39 % (3076460)Instructions burned: 114 (million)
% 16.86/3.39 % (3076461)Instruction limit reached!
% 16.86/3.39 % (3076461)------------------------------
% 16.86/3.39 % (3076461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076461)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076461)Termination reason: Instruction limit
% 16.86/3.39 % (3076461)Termination phase: Saturation
% 16.86/3.39 % (3076461)Time elapsed: 0.081 s
% 16.86/3.39 % (3076461)Peak memory usage: 89 MB
% 16.86/3.39 % (3076461)Instructions burned: 128 (million)
% 16.86/3.39 % (3076467)lrs+10_1_sil=8000:sp=occurrence:random_seed=1395197634:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 16.86/3.39 % (3076469)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4256408230:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 16.86/3.39 % (3076469)Refutation not found, incomplete strategy
% 16.86/3.39 % (3076469)------------------------------
% 16.86/3.39 % (3076469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076469)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076469)Termination reason: Refutation not found, incomplete strategy
% 16.86/3.39 % (3076469)Time elapsed: 0.001 s
% 16.86/3.39 % (3076469)Peak memory usage: 88 MB
% 16.86/3.39 % (3076422)------------------------------
% 16.86/3.39 % (3076422)------------------------------
% 16.86/3.39 % (3076462)------------------------------
% 16.86/3.39 % (3076462)------------------------------
% 16.86/3.39 % (3076469)------------------------------
% 16.86/3.39 % (3076469)------------------------------
% 16.86/3.39 % (3076472)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3632442210:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 16.86/3.39 % (3076473)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2371072855:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 16.86/3.39 % (3076473)Refutation not found, incomplete strategy
% 16.86/3.39 % (3076473)------------------------------
% 16.86/3.39 % (3076473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076473)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076473)Termination reason: Refutation not found, incomplete strategy
% 16.86/3.39 % (3076473)Time elapsed: 0.001 s
% 16.86/3.39 % (3076473)Peak memory usage: 88 MB
% 16.86/3.39 % (3076475)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4123770541:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 16.86/3.39 % (3076475)Refutation not found, incomplete strategy
% 16.86/3.39 % (3076475)------------------------------
% 16.86/3.39 % (3076475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076475)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076475)Termination reason: Refutation not found, incomplete strategy
% 16.86/3.39 % (3076475)Time elapsed: 0.001 s
% 16.86/3.39 % (3076475)Peak memory usage: 88 MB
% 16.86/3.39 % (3076475)Instructions burned: 1 (million)
% 16.86/3.39 % (3076475)------------------------------
% 16.86/3.39 % (3076475)------------------------------
% 16.86/3.39 % (3076473)------------------------------
% 16.86/3.39 % (3076473)------------------------------
% 16.86/3.39 % (3076515)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=242238273:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 16.86/3.39 % (3076467)Instruction limit reached!
% 16.86/3.39 % (3076467)------------------------------
% 16.86/3.39 % (3076467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076467)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076467)Termination reason: Instruction limit
% 16.86/3.39 % (3076467)Termination phase: Saturation
% 16.86/3.39 % (3076467)Time elapsed: 0.520 s
% 16.86/3.39 % (3076467)Peak memory usage: 95 MB
% 16.86/3.39 % (3076467)Instructions burned: 907 (million)
% 16.86/3.39 % (3076537)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=2334200111:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 16.86/3.39 % (3076549)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4213598831:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 16.86/3.39 % (3076537)Instruction limit reached!
% 16.86/3.39 % (3076537)------------------------------
% 16.86/3.39 % (3076537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076537)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076537)Termination reason: Instruction limit
% 16.86/3.39 % (3076537)Termination phase: Saturation
% 16.86/3.39 % (3076537)Time elapsed: 0.089 s
% 16.86/3.39 % (3076537)Peak memory usage: 90 MB
% 16.86/3.39 % (3076537)Instructions burned: 126 (million)
% 16.86/3.39 % (3076549)Instruction limit reached!
% 16.86/3.39 % (3076549)------------------------------
% 16.86/3.39 % (3076549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076549)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076549)Termination reason: Instruction limit
% 16.86/3.39 % (3076549)Termination phase: Saturation
% 16.86/3.39 % (3076549)Time elapsed: 0.075 s
% 16.86/3.39 % (3076549)Peak memory usage: 89 MB
% 16.86/3.39 % (3076549)Instructions burned: 134 (million)
% 16.86/3.39 % (3076454)First to succeed.
% 16.86/3.39 % (3076454)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3076392"
% 16.86/3.39 % (3076588)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=548921164:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 16.86/3.39 % (3076588)Refutation not found, incomplete strategy
% 16.86/3.39 % (3076588)------------------------------
% 16.86/3.39 % (3076588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076588)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076588)Termination reason: Refutation not found, incomplete strategy
% 16.86/3.39 % (3076588)Time elapsed: 0.001 s
% 16.86/3.39 % (3076588)Peak memory usage: 88 MB
% 16.86/3.39 % (3076591)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2480395155:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 16.86/3.39 % (3076591)Refutation not found, incomplete strategy
% 16.86/3.39 % (3076591)------------------------------
% 16.86/3.39 % (3076591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.86/3.39 % (3076591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/3.39 % (3076591)CaDiCaL version: 2.1.3
% 16.86/3.39 % (3076591)Termination reason: Refutation not found, incomplete strategy
% 16.86/3.39 % (3076591)Time elapsed: 0.002 s
% 16.86/3.39 % (3076591)Peak memory usage: 88 MB
% 16.86/3.39 % (3076591)Instructions burned: 1 (million)
% 16.86/3.39 % (3076420)Also succeeded, but the first one will report.
% 16.86/3.39 % (3076454)Refutation found. Thanks to Tanya!
% 16.86/3.39 % SZS status Theorem for theBenchmark
% 16.86/3.39 % SZS output start Proof for theBenchmark
% See solution above
% 17.62/3.58 % (3076454)------------------------------
% 17.62/3.58 % (3076454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.62/3.58 % (3076454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.62/3.58 % (3076454)CaDiCaL version: 2.1.3
% 17.62/3.58 % (3076454)Termination reason: Refutation
% 17.62/3.58 % (3076454)Time elapsed: 1.333 s
% 17.62/3.58 % (3076454)Peak memory usage: 142 MB
% 17.62/3.58 % (3076454)Instructions burned: 2203 (million)
% 17.62/3.58 % (3076454)------------------------------
% 17.62/3.58 % (3076454)------------------------------
% 17.62/3.58 % (3076392)Success in time 2.401 s
% 17.62/3.58 % Vampire exiting
%------------------------------------------------------------------------------