%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE019+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 : n017.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 11:40:04 AM UTC 2026
% Result : Theorem 11.88s 2.90s
% Output : Refutation 13.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 23
% Syntax : Number of formulae : 174 ( 97 unt; 7 def)
% Number of atoms : 319 ( 148 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 256 ( 111 ~; 102 |; 29 &)
% ( 9 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 156 ( 0 sgn 147 !; 9 ?)
% 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,X2] :
( ( test(X0)
& test(X1)
& test(X2) )
=> ( leq(X0,addition(X1,X2))
=> leq(multiplication(X0,c(X1)),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( ( test(X0)
& test(X1)
& test(X2) )
=> ( leq(X0,addition(X1,X2))
=> leq(multiplication(X0,c(X1)),X2) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0,X1,X2] :
( ~ leq(multiplication(X0,c(X1)),X2)
& leq(X0,addition(X1,X2))
& test(X0)
& test(X1)
& test(X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1,X2] :
( ~ leq(multiplication(X0,c(X1)),X2)
& leq(X0,addition(X1,X2))
& test(X0)
& test(X1)
& test(X2) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f24,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f25,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f26,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))],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
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(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f30,plain,
( ~ leq(multiplication(sK1,c(sK2)),sK3)
& leq(sK1,addition(sK2,sK3))
& test(sK1)
& test(sK2)
& test(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f22]) ).
fof(f31,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f32,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f33,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f35,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f36,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f40,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f41,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f42,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f46,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f28]) ).
fof(f47,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f48,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
test(sK3),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
test(sK2),
inference(cnf_transformation,[],[f30]) ).
fof(f55,plain,
test(sK1),
inference(cnf_transformation,[],[f30]) ).
fof(f56,plain,
leq(sK1,addition(sK2,sK3)),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
~ leq(multiplication(sK1,c(sK2)),sK3),
inference(cnf_transformation,[],[f30]) ).
fof(f58,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f50]) ).
fof(f59,definition,
sF4 = c(sK2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f60,plain,
c(sK2) = sF4,
inference(reorient_equations,[],[f59]) ).
fof(f61,definition,
sF5 = multiplication(sK1,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f62,plain,
multiplication(sK1,sF4) = sF5,
inference(reorient_equations,[],[f61]) ).
fof(f63,plain,
~ leq(sF5,sK3),
inference(definition_folding,[],[f57,f62,f60]) ).
fof(f64,definition,
sF6 = addition(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f65,plain,
addition(sK2,sK3) = sF6,
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
leq(sK1,sF6),
inference(definition_folding,[],[f56,f65]) ).
fof(f67,plain,
sF6 = addition(sK1,sF6),
inference(resolution,[],[f42,f66]) ).
fof(f68,plain,
( complement(sK2,sF4)
| ~ test(sK2) ),
inference(superposition,[],[f58,f60]) ).
fof(f69,plain,
complement(sK2,sF4),
inference(forward_subsumption_resolution,[],[f68,f54]) ).
fof(f80,plain,
! [X0] :
( ~ test(X0)
| one = addition(c(X0),X0) ),
inference(resolution,[],[f46,f58]) ).
fof(f82,plain,
! [X0,X1] :
( addition(X0,X1) != X0
| leq(X1,X0) ),
inference(superposition,[],[f43,f31]) ).
fof(f83,plain,
one = addition(sF4,sK2),
inference(resolution,[],[f69,f46]) ).
fof(f97,plain,
! [X0] : multiplication(addition(sK1,X0),sF4) = addition(sF5,multiplication(X0,sF4)),
inference(superposition,[],[f39,f62]) ).
fof(f104,plain,
! [X2,X0,X1] :
( multiplication(X1,X2) != multiplication(addition(X0,X1),X2)
| leq(multiplication(X0,X2),multiplication(X1,X2)) ),
inference(superposition,[],[f43,f39]) ).
fof(f118,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1)),
inference(superposition,[],[f31,f38]) ).
fof(f121,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(X2,X1)),
inference(forward_demodulation,[],[f118,f38]) ).
fof(f130,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f39,f37]) ).
fof(f137,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f32,f34]) ).
fof(f140,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f32,f38]) ).
fof(f143,plain,
! [X0] : addition(sF4,addition(sK2,X0)) = addition(one,X0),
inference(superposition,[],[f32,f83]) ).
fof(f156,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f38,f36]) ).
fof(f166,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f31,f33]) ).
fof(f179,plain,
! [X0] : multiplication(sK1,multiplication(sF4,X0)) = multiplication(sF5,X0),
inference(superposition,[],[f35,f62]) ).
fof(f224,plain,
one = addition(sF4,one),
inference(superposition,[],[f137,f83]) ).
fof(f258,plain,
zero = multiplication(sF4,sK2),
inference(resolution,[],[f48,f69]) ).
fof(f272,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,c(X0)) ),
inference(resolution,[],[f47,f58]) ).
fof(f273,plain,
zero = multiplication(sK2,sF4),
inference(resolution,[],[f47,f69]) ).
fof(f276,plain,
! [X0] : multiplication(sK2,addition(X0,sF4)) = addition(multiplication(sK2,X0),zero),
inference(superposition,[],[f38,f273]) ).
fof(f283,plain,
! [X0] : multiplication(sK2,X0) = multiplication(sK2,addition(X0,sF4)),
inference(forward_demodulation,[],[f276,f33]) ).
fof(f287,plain,
multiplication(sF5,sK2) = multiplication(sK1,zero),
inference(superposition,[],[f179,f258]) ).
fof(f300,plain,
zero = multiplication(sF5,sK2),
inference(forward_demodulation,[],[f287,f40]) ).
fof(f457,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,[],[f140,f39]) ).
fof(f539,plain,
! [X0,X1] : addition(multiplication(X0,sF4),multiplication(addition(X0,X1),sK2)) = addition(multiplication(X0,one),multiplication(X1,sK2)),
inference(superposition,[],[f457,f83]) ).
fof(f540,plain,
! [X0,X1] : addition(multiplication(X0,one),multiplication(X1,one)) = addition(multiplication(X0,sF4),multiplication(addition(X0,X1),one)),
inference(superposition,[],[f457,f224]) ).
fof(f631,plain,
! [X0,X1] : addition(multiplication(X0,one),multiplication(X1,one)) = addition(multiplication(X0,sF4),addition(X0,X1)),
inference(forward_demodulation,[],[f540,f36]) ).
fof(f632,plain,
! [X0,X1] : addition(multiplication(X0,sF4),multiplication(addition(X0,X1),sK2)) = addition(X0,multiplication(X1,sK2)),
inference(forward_demodulation,[],[f539,f36]) ).
fof(f663,plain,
! [X0,X1] : multiplication(addition(X0,X1),one) = addition(multiplication(X0,sF4),addition(X0,X1)),
inference(forward_demodulation,[],[f631,f39]) ).
fof(f680,plain,
! [X0,X1] : addition(X0,X1) = addition(multiplication(X0,sF4),addition(X0,X1)),
inference(forward_demodulation,[],[f663,f36]) ).
fof(f711,plain,
addition(sK1,multiplication(sF6,sK2)) = addition(multiplication(sK1,sF4),multiplication(sF6,sK2)),
inference(superposition,[],[f632,f67]) ).
fof(f713,plain,
addition(sK2,multiplication(sK3,sK2)) = addition(multiplication(sK2,sF4),multiplication(sF6,sK2)),
inference(superposition,[],[f632,f65]) ).
fof(f734,plain,
addition(sK2,multiplication(sK3,sK2)) = addition(zero,multiplication(sF6,sK2)),
inference(forward_demodulation,[],[f713,f273]) ).
fof(f736,plain,
addition(sK1,multiplication(sF6,sK2)) = addition(sF5,multiplication(sF6,sK2)),
inference(forward_demodulation,[],[f711,f62]) ).
fof(f756,plain,
multiplication(sF6,sK2) = addition(sK2,multiplication(sK3,sK2)),
inference(forward_demodulation,[],[f734,f166]) ).
fof(f774,plain,
multiplication(sF6,sK2) = multiplication(addition(one,sK3),sK2),
inference(forward_demodulation,[],[f756,f130]) ).
fof(f1201,definition,
( spl7_15
<=> zero = multiplication(sK2,sF5) ),
introduced(definition,[new_symbols(definition,[spl7_15])],[avatar_definition]) ).
fof(f1202,plain,
( zero = multiplication(sK2,sF5)
| ~ spl7_15 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f1231,definition,
( spl7_19
<=> one = addition(sK2,sF4) ),
introduced(definition,[new_symbols(definition,[spl7_19])],[avatar_definition]) ).
fof(f1232,plain,
( one = addition(sK2,sF4)
| ~ spl7_19 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f1233,plain,
( one != addition(sK2,sF4)
| spl7_19 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f1440,plain,
zero = multiplication(sK1,c(sK1)),
inference(resolution,[],[f272,f55]) ).
fof(f1692,plain,
! [X0] : addition(one,X0) = addition(sF4,addition(X0,sK2)),
inference(superposition,[],[f143,f31]) ).
fof(f1860,plain,
one = addition(c(sK1),sK1),
inference(resolution,[],[f80,f55]) ).
fof(f1869,plain,
one = addition(sK1,c(sK1)),
inference(superposition,[],[f31,f1860]) ).
fof(f1963,plain,
! [X0] :
( multiplication(sF6,X0) != multiplication(sF6,X0)
| leq(multiplication(sK1,X0),multiplication(sF6,X0)) ),
inference(superposition,[],[f104,f67]) ).
fof(f1987,plain,
! [X0] : leq(multiplication(sK1,X0),multiplication(sF6,X0)),
inference(trivial_inequality_removal,[],[f1963]) ).
fof(f2309,definition,
( spl7_52
<=> one = addition(one,sK3) ),
introduced(definition,[new_symbols(definition,[spl7_52])],[avatar_definition]) ).
fof(f2310,plain,
( one = addition(one,sK3)
| ~ spl7_52 ),
inference(avatar_component_clause,[],[f2309]) ).
fof(f3464,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,sK0(X0)) ),
inference(resolution,[],[f44,f46]) ).
fof(f3482,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK1,multiplication(c(sK1),X0)),
inference(superposition,[],[f35,f1440]) ).
fof(f3508,plain,
! [X0] : zero = multiplication(sK1,multiplication(c(sK1),X0)),
inference(forward_demodulation,[],[f3482,f41]) ).
fof(f3607,plain,
( one != addition(sF4,sK2)
| spl7_19 ),
inference(superposition,[],[f1233,f31]) ).
fof(f3611,plain,
( $false
| spl7_19 ),
inference(forward_subsumption_resolution,[],[f3607,f83]) ).
fof(f3612,plain,
spl7_19,
inference(avatar_contradiction_clause,[],[f3611]) ).
fof(f3632,plain,
( ! [X0,X1] : addition(multiplication(X0,one),multiplication(X1,sF4)) = addition(multiplication(X0,sK2),multiplication(addition(X0,X1),sF4))
| ~ spl7_19 ),
inference(superposition,[],[f457,f1232]) ).
fof(f3637,plain,
( ! [X0,X1] : addition(X0,multiplication(X1,sF4)) = addition(multiplication(X0,sK2),multiplication(addition(X0,X1),sF4))
| ~ spl7_19 ),
inference(forward_demodulation,[],[f3632,f36]) ).
fof(f4580,plain,
one = addition(sK3,sK0(sK3)),
inference(resolution,[],[f3464,f53]) ).
fof(f4587,plain,
one = addition(sK3,one),
inference(superposition,[],[f137,f4580]) ).
fof(f4794,definition,
( spl7_83
<=> one = addition(sF5,one) ),
introduced(definition,[new_symbols(definition,[spl7_83])],[avatar_definition]) ).
fof(f4795,plain,
( one = addition(sF5,one)
| ~ spl7_83 ),
inference(avatar_component_clause,[],[f4794]) ).
fof(f5471,plain,
one = addition(multiplication(sK1,sF4),one),
inference(superposition,[],[f680,f1869]) ).
fof(f5474,plain,
one = addition(sF5,one),
inference(forward_demodulation,[],[f5471,f62]) ).
fof(f5482,plain,
spl7_83,
inference(avatar_split_clause,[],[f5474,f4794]) ).
fof(f8182,plain,
one = addition(one,sK3),
inference(superposition,[],[f31,f4587]) ).
fof(f8216,plain,
spl7_52,
inference(avatar_split_clause,[],[f8182,f2309]) ).
fof(f8223,plain,
( multiplication(one,sK2) = multiplication(sF6,sK2)
| ~ spl7_52 ),
inference(superposition,[],[f774,f2310]) ).
fof(f8256,plain,
( sK2 = multiplication(sF6,sK2)
| ~ spl7_52 ),
inference(forward_demodulation,[],[f8223,f37]) ).
fof(f8265,plain,
( addition(sK1,sK2) = addition(sF5,sK2)
| ~ spl7_52 ),
inference(superposition,[],[f736,f8256]) ).
fof(f8318,plain,
( addition(one,sF5) = addition(sF4,addition(sK1,sK2))
| ~ spl7_52 ),
inference(superposition,[],[f1692,f8265]) ).
fof(f8367,plain,
( addition(one,sK1) = addition(one,sF5)
| ~ spl7_52 ),
inference(forward_demodulation,[],[f8318,f1692]) ).
fof(f10368,plain,
( ! [X0] : multiplication(X0,one) = multiplication(X0,addition(one,sF5))
| ~ spl7_83 ),
inference(superposition,[],[f121,f4795]) ).
fof(f10381,plain,
( addition(sF5,multiplication(one,sF4)) = addition(multiplication(sF5,sK2),multiplication(one,sF4))
| ~ spl7_19
| ~ spl7_83 ),
inference(superposition,[],[f3637,f4795]) ).
fof(f10389,plain,
( addition(sF5,sF4) = addition(multiplication(sF5,sK2),sF4)
| ~ spl7_19
| ~ spl7_83 ),
inference(forward_demodulation,[],[f10381,f37]) ).
fof(f10397,plain,
( ! [X0] : multiplication(X0,one) = multiplication(X0,addition(one,sK1))
| ~ spl7_52
| ~ spl7_83 ),
inference(forward_demodulation,[],[f10368,f8367]) ).
fof(f10407,plain,
( addition(sF5,sF4) = addition(zero,sF4)
| ~ spl7_19
| ~ spl7_83 ),
inference(forward_demodulation,[],[f10389,f300]) ).
fof(f10411,plain,
( ! [X0] : multiplication(X0,addition(one,sK1)) = X0
| ~ spl7_52
| ~ spl7_83 ),
inference(forward_demodulation,[],[f10397,f36]) ).
fof(f10421,plain,
( sF4 = addition(sF5,sF4)
| ~ spl7_19
| ~ spl7_83 ),
inference(forward_demodulation,[],[f10407,f166]) ).
fof(f10428,plain,
( multiplication(sK2,sF4) = multiplication(sK2,sF5)
| ~ spl7_19
| ~ spl7_83 ),
inference(superposition,[],[f283,f10421]) ).
fof(f10475,plain,
( zero = multiplication(sK2,sF5)
| ~ spl7_19
| ~ spl7_83 ),
inference(forward_demodulation,[],[f10428,f273]) ).
fof(f10482,plain,
( spl7_15
| ~ spl7_19
| ~ spl7_83 ),
inference(avatar_split_clause,[],[f10475,f4794,f1231,f1201]) ).
fof(f10552,plain,
( ! [X0] : multiplication(addition(sK2,X0),sF5) = addition(zero,multiplication(X0,sF5))
| ~ spl7_15 ),
inference(superposition,[],[f39,f1202]) ).
fof(f10576,plain,
( ! [X0] : multiplication(X0,sF5) = multiplication(addition(sK2,X0),sF5)
| ~ spl7_15 ),
inference(forward_demodulation,[],[f10552,f166]) ).
fof(f10600,plain,
( multiplication(sF6,sF5) = multiplication(sK3,sF5)
| ~ spl7_15 ),
inference(superposition,[],[f10576,f65]) ).
fof(f11691,plain,
! [X0,X1] : addition(multiplication(sK1,X0),zero) = multiplication(sK1,addition(X0,multiplication(c(sK1),X1))),
inference(superposition,[],[f38,f3508]) ).
fof(f11719,plain,
! [X0,X1] : multiplication(sK1,X0) = multiplication(sK1,addition(X0,multiplication(c(sK1),X1))),
inference(forward_demodulation,[],[f11691,f33]) ).
fof(f12592,plain,
multiplication(sK1,sF5) = multiplication(sK1,multiplication(addition(sK1,c(sK1)),sF4)),
inference(superposition,[],[f11719,f97]) ).
fof(f12635,plain,
multiplication(sK1,sF5) = multiplication(sK1,multiplication(one,sF4)),
inference(forward_demodulation,[],[f12592,f1869]) ).
fof(f12649,plain,
multiplication(sK1,sF4) = multiplication(sK1,sF5),
inference(forward_demodulation,[],[f12635,f37]) ).
fof(f12652,plain,
sF5 = multiplication(sK1,sF5),
inference(forward_demodulation,[],[f12649,f62]) ).
fof(f12655,plain,
leq(sF5,multiplication(sF6,sF5)),
inference(superposition,[],[f1987,f12652]) ).
fof(f12685,plain,
( leq(sF5,multiplication(sK3,sF5))
| ~ spl7_15 ),
inference(forward_demodulation,[],[f12655,f10600]) ).
fof(f12694,plain,
( multiplication(sK3,sF5) = addition(sF5,multiplication(sK3,sF5))
| ~ spl7_15 ),
inference(resolution,[],[f12685,f42]) ).
fof(f12695,plain,
( multiplication(sK3,sF5) = multiplication(addition(one,sK3),sF5)
| ~ spl7_15 ),
inference(forward_demodulation,[],[f12694,f130]) ).
fof(f12696,plain,
( multiplication(one,sF5) = multiplication(sK3,sF5)
| ~ spl7_15
| ~ spl7_52 ),
inference(forward_demodulation,[],[f12695,f2310]) ).
fof(f12697,plain,
( sF5 = multiplication(sK3,sF5)
| ~ spl7_15
| ~ spl7_52 ),
inference(forward_demodulation,[],[f12696,f37]) ).
fof(f12712,plain,
( addition(sK3,sF5) = multiplication(sK3,addition(one,sF5))
| ~ spl7_15
| ~ spl7_52 ),
inference(superposition,[],[f156,f12697]) ).
fof(f12716,plain,
( addition(sK3,sF5) = multiplication(sK3,addition(one,sK1))
| ~ spl7_15
| ~ spl7_52 ),
inference(forward_demodulation,[],[f12712,f8367]) ).
fof(f12722,plain,
( sK3 = addition(sK3,sF5)
| ~ spl7_15
| ~ spl7_52
| ~ spl7_83 ),
inference(forward_demodulation,[],[f12716,f10411]) ).
fof(f12730,plain,
( sK3 != sK3
| leq(sF5,sK3)
| ~ spl7_15
| ~ spl7_52
| ~ spl7_83 ),
inference(superposition,[],[f82,f12722]) ).
fof(f12750,plain,
( leq(sF5,sK3)
| ~ spl7_15
| ~ spl7_52
| ~ spl7_83 ),
inference(trivial_inequality_removal,[],[f12730]) ).
fof(f12760,plain,
( $false
| ~ spl7_15
| ~ spl7_52
| ~ spl7_83 ),
inference(forward_subsumption_resolution,[],[f12750,f63]) ).
fof(f12761,plain,
( ~ spl7_15
| ~ spl7_52
| ~ spl7_83 ),
inference(avatar_contradiction_clause,[],[f12760]) ).
cnf(s34,plain,
spl7_19,
inference(sat_conversion,[],[f3612]) ).
cnf(s40,plain,
spl7_83,
inference(sat_conversion,[],[f5482]) ).
cnf(s48,plain,
spl7_52,
inference(sat_conversion,[],[f8216]) ).
cnf(s74,plain,
( spl7_15
| ~ spl7_19
| ~ spl7_83 ),
inference(sat_conversion,[],[f10482]) ).
cnf(s84,plain,
( ~ spl7_15
| ~ spl7_52
| ~ spl7_83 ),
inference(sat_conversion,[],[f12761]) ).
cnf(s88,plain,
~ spl7_15,
inference(rat,[],[s84,s48,s40]) ).
cnf(s90,plain,
~ spl7_19,
inference(rat,[],[s74,s40,s88]) ).
cnf(s91,plain,
$false,
inference(rat,[],[s34,s90]) ).
fof(f12792,plain,
$false,
inference(avatar_sat_refutation,[],[s91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE019+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n017.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 12:54:21 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 11.88/2.90 % (2527805)Detected formulas, will run a generic FOF schedule.
% 11.88/2.90 % (2527818)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=3109856019:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.88/2.90 % (2527824)dis-21_1_sil=8000:lcm=predicate:random_seed=3697361027: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)
% 11.88/2.90 % (2527824)Refutation not found, incomplete strategy
% 11.88/2.90 % (2527824)------------------------------
% 11.88/2.90 % (2527824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.90 % (2527824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.90 % (2527824)CaDiCaL version: 2.1.3
% 11.88/2.90 % (2527824)Termination reason: Refutation not found, incomplete strategy
% 11.88/2.90 % (2527824)Time elapsed: 0.003 s
% 11.88/2.90 % (2527824)Peak memory usage: 88 MB
% 11.88/2.90 % (2527824)Instructions burned: 2 (million)
% 11.88/2.90 % (2527822)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3136028896:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.88/2.90 % (2527821)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1958812127:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.88/2.90 % (2527820)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=4172381344:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.88/2.90 % (2527819)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=3253577952:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.88/2.90 % (2527821)Refutation not found, incomplete strategy
% 11.88/2.90 % (2527821)------------------------------
% 11.88/2.90 % (2527821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.90 % (2527821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.90 % (2527821)CaDiCaL version: 2.1.3
% 11.88/2.90 % (2527821)Termination reason: Refutation not found, incomplete strategy
% 11.88/2.90 % (2527821)Time elapsed: 0.002 s
% 11.88/2.90 % (2527821)Peak memory usage: 88 MB
% 11.88/2.90 % (2527821)Instructions burned: 1 (million)
% 11.88/2.90 % (2527823)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1130438386:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.88/2.90 % (2527822)Instruction limit reached!
% 11.88/2.90 % (2527822)------------------------------
% 11.88/2.90 % (2527822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.90 % (2527822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.90 % (2527822)CaDiCaL version: 2.1.3
% 11.88/2.90 % (2527822)Termination reason: Instruction limit
% 11.88/2.90 % (2527822)Termination phase: Saturation
% 11.88/2.90 % (2527822)Time elapsed: 0.093 s
% 11.88/2.90 % (2527822)Peak memory usage: 88 MB
% 11.88/2.90 % (2527822)Instructions burned: 119 (million)
% 11.88/2.90 % (2527823)Instruction limit reached!
% 11.88/2.90 % (2527823)------------------------------
% 11.88/2.90 % (2527823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.90 % (2527823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.90 % (2527823)CaDiCaL version: 2.1.3
% 11.88/2.90 % (2527823)Termination reason: Instruction limit
% 11.88/2.90 % (2527823)Termination phase: Saturation
% 11.88/2.90 % (2527823)Time elapsed: 0.137 s
% 11.88/2.90 % (2527823)Peak memory usage: 90 MB
% 11.88/2.90 % (2527823)Instructions burned: 139 (million)
% 11.88/2.90 % (2527834)lrs+10_1_sil=8000:sp=occurrence:random_seed=1671331791:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.88/2.90 % (2527835)lrs+10_1_sil=32000:urr=on:br=off:random_seed=395501681:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.88/2.90 % (2527824)------------------------------
% 11.88/2.90 % (2527824)------------------------------
% 11.88/2.90 % (2527821)------------------------------
% 11.88/2.90 % (2527821)------------------------------
% 11.88/2.90 % (2527835)Instruction limit reached!
% 11.88/2.90 % (2527835)------------------------------
% 11.88/2.90 % (2527835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.90 % (2527835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.90 % (2527835)CaDiCaL version: 2.1.3
% 11.88/2.90 % (2527835)Termination reason: Instruction limit
% 11.88/2.90 % (2527835)Termination phase: Saturation
% 11.88/2.90 % (2527835)Time elapsed: 0.161 s
% 11.88/2.90 % (2527835)Peak memory usage: 89 MB
% 11.88/2.90 % (2527835)Instructions burned: 157 (million)
% 11.88/2.90 % (2527838)lrs+1011_1_sil=32000:sp=occurrence:random_seed=404638746:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 11.88/2.90 % (2527834)Instruction limit reached!
% 11.88/2.90 % (2527834)------------------------------
% 11.88/2.90 % (2527834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.90 % (2527834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.90 % (2527834)CaDiCaL version: 2.1.3
% 11.88/2.90 % (2527834)Termination reason: Instruction limit
% 11.88/2.90 % (2527834)Termination phase: Saturation
% 11.88/2.90 % (2527834)Time elapsed: 0.290 s
% 11.88/2.90 % (2527834)Peak memory usage: 91 MB
% 11.88/2.90 % (2527834)Instructions burned: 285 (million)
% 11.88/2.90 % (2527839)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=881918004:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 11.88/2.90 % (2527840)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2260018059:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 11.88/2.90 % (2527842)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1174664402:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 11.88/2.90 % (2527838)Instruction limit reached!
% 11.88/2.90 % (2527838)------------------------------
% 11.88/2.90 % (2527838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.90 % (2527838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.90 % (2527838)CaDiCaL version: 2.1.3
% 11.88/2.90 % (2527838)Termination reason: Instruction limit
% 11.88/2.90 % (2527838)Termination phase: Saturation
% 11.88/2.90 % (2527838)Time elapsed: 0.345 s
% 11.88/2.90 % (2527838)Peak memory usage: 91 MB
% 11.88/2.90 % (2527838)Instructions burned: 326 (million)
% 11.88/2.90 % (2527839)Instruction limit reached!
% 11.88/2.90 % (2527839)------------------------------
% 11.88/2.90 % (2527839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.90 % (2527839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.90 % (2527839)CaDiCaL version: 2.1.3
% 11.88/2.90 % (2527839)Termination reason: Instruction limit
% 11.88/2.90 % (2527839)Termination phase: Saturation
% 11.88/2.90 % (2527839)Time elapsed: 0.241 s
% 11.88/2.90 % (2527839)Peak memory usage: 91 MB
% 11.88/2.90 % (2527839)Instructions burned: 248 (million)
% 11.88/2.90 % (2527840)Instruction limit reached!
% 11.88/2.90 % (2527840)------------------------------
% 11.88/2.90 % (2527840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.90 % (2527840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.90 % (2527840)CaDiCaL version: 2.1.3
% 11.88/2.90 % (2527840)Termination reason: Instruction limit
% 11.88/2.90 % (2527840)Termination phase: Saturation
% 11.88/2.90 % (2527840)Time elapsed: 0.291 s
% 11.88/2.90 % (2527840)Peak memory usage: 89 MB
% 11.88/2.90 % (2527840)Instructions burned: 294 (million)
% 11.88/2.90 % (2527846)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=51628816:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 11.88/2.90 % (2527847)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=902658718:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 11.88/2.90 % (2527848)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=783444916:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 11.88/2.90 % (2527846)Instruction limit reached!
% 11.88/2.90 % (2527846)------------------------------
% 11.88/2.90 % (2527846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.90 % (2527846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.90 % (2527846)CaDiCaL version: 2.1.3
% 11.88/2.90 % (2527846)Termination reason: Instruction limit
% 11.88/2.90 % (2527846)Termination phase: Saturation
% 11.88/2.90 % (2527846)Time elapsed: 0.121 s
% 11.88/2.90 % (2527846)Peak memory usage: 90 MB
% 11.88/2.90 % (2527846)Instructions burned: 113 (million)
% 11.88/2.90 % (2527847)Instruction limit reached!
% 11.88/2.90 % (2527847)------------------------------
% 11.88/2.90 % (2527847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.90 % (2527847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.90 % (2527847)CaDiCaL version: 2.1.3
% 11.88/2.90 % (2527847)Termination reason: Instruction limit
% 11.88/2.90 % (2527847)Termination phase: Saturation
% 11.88/2.90 % (2527847)Time elapsed: 0.117 s
% 11.88/2.90 % (2527847)Peak memory usage: 89 MB
% 11.88/2.90 % (2527847)Instructions burned: 128 (million)
% 11.88/2.90 % (2527848)Instruction limit reached!
% 11.88/2.90 % (2527848)------------------------------
% 11.88/2.90 % (2527848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.90 % (2527848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.90 % (2527848)CaDiCaL version: 2.1.3
% 11.88/2.90 % (2527848)Termination reason: Instruction limit
% 11.88/2.90 % (2527848)Termination phase: Saturation
% 11.88/2.90 % (2527848)Time elapsed: 0.119 s
% 11.88/2.90 % (2527848)Peak memory usage: 89 MB
% 11.88/2.90 % (2527848)Instructions burned: 114 (million)
% 11.88/2.90 % (2527818)First to succeed.
% 11.88/2.90 % (2527818)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2527805"
% 11.88/2.90 % (2527852)lrs+10_1_sil=8000:sp=occurrence:random_seed=3449664849:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 11.88/2.90 % (2527853)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1686501722:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 11.88/2.90 % (2527853)Refutation not found, incomplete strategy
% 11.88/2.90 % (2527853)------------------------------
% 11.88/2.90 % (2527853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.90 % (2527853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.90 % (2527853)CaDiCaL version: 2.1.3
% 11.88/2.90 % (2527853)Termination reason: Refutation not found, incomplete strategy
% 11.88/2.90 % (2527853)Time elapsed: 0.003 s
% 11.88/2.90 % (2527853)Peak memory usage: 88 MB
% 11.88/2.90 % (2527853)Instructions burned: 1 (million)
% 11.88/2.90 % (2527854)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4159358467:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 11.88/2.90 % (2527818)Refutation found. Thanks to Tanya!
% 11.88/2.90 % SZS status Theorem for theBenchmark
% 11.88/2.90 % SZS output start Proof for theBenchmark
% See solution above
% 13.38/3.04 % (2527818)------------------------------
% 13.38/3.04 % (2527818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.04 % (2527818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.04 % (2527818)CaDiCaL version: 2.1.3
% 13.38/3.04 % (2527818)Termination reason: Refutation
% 13.38/3.04 % (2527818)Time elapsed: 1.389 s
% 13.38/3.04 % (2527818)Peak memory usage: 145 MB
% 13.38/3.04 % (2527818)Instructions burned: 2437 (million)
% 13.38/3.04 % (2527818)------------------------------
% 13.38/3.04 % (2527818)------------------------------
% 13.38/3.04 % (2527805)Success in time 1.802 s
% 13.38/3.04 % Vampire exiting
%------------------------------------------------------------------------------