%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE031+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 : n015.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 18.92s 3.64s
% Output : Refutation 19.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 31
% Syntax : Number of formulae : 261 ( 89 unt; 15 def)
% Number of atoms : 647 ( 180 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 693 ( 307 ~; 313 |; 48 &)
% ( 20 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 13 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-3 aty)
% Number of variables : 209 ( 0 sgn 195 !; 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(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,X3] :
( ( test(X3)
& ismeet(X0,X1,X2) )
=> ismeet(multiplication(X3,X0),multiplication(X3,X1),multiplication(X3,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),multiplication(X3,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(f22,plain,
! [X0] :
( c(X0) = zero
| test(X0) ),
inference(ennf_transformation,[],[f16]) ).
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),multiplication(X3,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),multiplication(X3,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),multiplication(sK5,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(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(f53,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f32]) ).
fof(f55,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f56,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f57,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0)
| addition(X0,X1) != one ),
inference(cnf_transformation,[],[f32]) ).
fof(f58,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f59,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| c(X0) = X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f60,plain,
! [X0] :
( test(X0)
| zero = c(X0) ),
inference(cnf_transformation,[],[f22]) ).
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),multiplication(sK5,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,definition,
sF8 = multiplication(sK5,sK4),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f76,plain,
multiplication(sK5,sK4) = sF8,
inference(reorient_equations,[],[f75]) ).
fof(f77,plain,
~ ismeet(sF6,sF7,sF8),
inference(definition_folding,[],[f69,f76,f74,f72]) ).
fof(f78,plain,
leq(sK2,sK3),
inference(resolution,[],[f67,f63]) ).
fof(f79,plain,
leq(sK2,sK4),
inference(resolution,[],[f67,f62]) ).
fof(f80,plain,
sK3 = addition(sK2,sK3),
inference(resolution,[],[f78,f50]) ).
fof(f81,plain,
sK4 = addition(sK2,sK4),
inference(resolution,[],[f79,f50]) ).
fof(f88,plain,
! [X0] : multiplication(sK5,addition(sK4,X0)) = addition(sF8,multiplication(sK5,X0)),
inference(superposition,[],[f46,f76]) ).
fof(f89,plain,
! [X0] : multiplication(sK5,addition(sK2,X0)) = addition(sF6,multiplication(sK5,X0)),
inference(superposition,[],[f46,f72]) ).
fof(f90,plain,
! [X0] : multiplication(sK5,addition(sK3,X0)) = addition(sF7,multiplication(sK5,X0)),
inference(superposition,[],[f46,f74]) ).
fof(f106,plain,
! [X0] :
( one = addition(c(X0),X0)
| ~ test(X0) ),
inference(resolution,[],[f54,f70]) ).
fof(f107,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,c(X0)) ),
inference(forward_demodulation,[],[f106,f39]) ).
fof(f108,plain,
one = addition(sK5,c(sK5)),
inference(resolution,[],[f107,f68]) ).
fof(f119,plain,
! [X0] :
( ~ leq(X0,sK4)
| ~ leq(X0,sK3)
| leq(X0,sK2) ),
inference(resolution,[],[f61,f67]) ).
fof(f124,plain,
! [X0,X1] :
( addition(X0,X1) != X0
| leq(X1,X0) ),
inference(superposition,[],[f51,f39]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ leq(X0,X1)
| ~ leq(X0,X2)
| ismeet(X0,X1,X2)
| addition(sK1(X1,X2,X0),X2) = X2 ),
inference(resolution,[],[f64,f50]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ismeet(X0,X1,X2)
| ~ leq(X0,X1)
| ~ leq(X0,X2)
| addition(X2,sK1(X1,X2,X0)) = X2 ),
inference(forward_demodulation,[],[f127,f39]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ leq(X0,X1)
| ~ leq(X0,X2)
| ismeet(X0,X1,X2)
| addition(sK1(X1,X2,X0),X1) = X1 ),
inference(resolution,[],[f65,f50]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ismeet(X0,X1,X2)
| ~ leq(X0,X1)
| ~ leq(X0,X2)
| addition(X1,sK1(X1,X2,X0)) = X1 ),
inference(forward_demodulation,[],[f131,f39]) ).
fof(f160,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f47,f45]) ).
fof(f200,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f40,f42]) ).
fof(f202,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(f219,plain,
( ~ leq(sF6,sF7)
| ~ leq(sF6,sF8)
| sF8 = addition(sF8,sK1(sF7,sF8,sF6)) ),
inference(resolution,[],[f129,f77]) ).
fof(f221,definition,
( spl9_5
<=> sF8 = addition(sF8,sK1(sF7,sF8,sF6)) ),
introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).
fof(f223,plain,
( sF8 = addition(sF8,sK1(sF7,sF8,sF6))
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f225,definition,
( spl9_6
<=> leq(sF6,sF8) ),
introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition]) ).
fof(f226,plain,
( leq(sF6,sF8)
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f227,plain,
( ~ leq(sF6,sF8)
| spl9_6 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f229,definition,
( spl9_7
<=> leq(sF6,sF7) ),
introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).
fof(f230,plain,
( leq(sF6,sF7)
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,plain,
( spl9_5
| ~ spl9_6
| ~ spl9_7 ),
inference(avatar_split_clause,[],[f219,f229,f225,f221]) ).
fof(f236,plain,
( ~ leq(sF6,sF7)
| ~ leq(sF6,sF8)
| sF7 = addition(sF7,sK1(sF7,sF8,sF6)) ),
inference(resolution,[],[f133,f77]) ).
fof(f237,plain,
! [X0] :
( one = addition(X0,c(X0))
| zero = c(X0) ),
inference(resolution,[],[f60,f107]) ).
fof(f294,plain,
one = addition(sK5,one),
inference(superposition,[],[f200,f108]) ).
fof(f297,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f51,f200]) ).
fof(f299,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f297]) ).
fof(f303,plain,
one = addition(one,sK5),
inference(forward_demodulation,[],[f294,f39]) ).
fof(f321,plain,
! [X0,X1] : leq(X1,addition(X0,X1)),
inference(superposition,[],[f299,f39]) ).
fof(f338,plain,
multiplication(addition(one,sK5),sK3) = addition(sK3,sF7),
inference(superposition,[],[f160,f74]) ).
fof(f339,plain,
multiplication(addition(one,sK5),sK4) = addition(sK4,sF8),
inference(superposition,[],[f160,f76]) ).
fof(f351,plain,
addition(sK4,sF8) = multiplication(one,sK4),
inference(forward_demodulation,[],[f339,f303]) ).
fof(f352,plain,
addition(sK3,sF7) = multiplication(one,sK3),
inference(forward_demodulation,[],[f338,f303]) ).
fof(f358,plain,
sK4 = addition(sK4,sF8),
inference(forward_demodulation,[],[f351,f45]) ).
fof(f359,plain,
sK3 = addition(sK3,sF7),
inference(forward_demodulation,[],[f352,f45]) ).
fof(f370,plain,
! [X0] : addition(sK3,X0) = addition(sK3,addition(sF7,X0)),
inference(superposition,[],[f40,f359]) ).
fof(f396,plain,
! [X0] : addition(sK4,X0) = addition(sK4,addition(sF8,X0)),
inference(superposition,[],[f40,f358]) ).
fof(f437,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(c(X0),X0) ),
inference(resolution,[],[f56,f70]) ).
fof(f438,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,c(X0)) ),
inference(resolution,[],[f55,f70]) ).
fof(f446,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f39,f41]) ).
fof(f458,plain,
! [X0] :
( X0 != X0
| leq(zero,X0) ),
inference(superposition,[],[f51,f446]) ).
fof(f461,plain,
! [X0] : leq(zero,X0),
inference(trivial_inequality_removal,[],[f458]) ).
fof(f503,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,[],[f202,f47]) ).
fof(f882,plain,
zero = multiplication(sK5,c(sK5)),
inference(resolution,[],[f438,f68]) ).
fof(f885,plain,
zero = multiplication(c(sK5),sK5),
inference(resolution,[],[f437,f68]) ).
fof(f887,plain,
! [X0] : multiplication(zero,X0) = multiplication(c(sK5),multiplication(sK5,X0)),
inference(superposition,[],[f43,f885]) ).
fof(f908,plain,
! [X0] : zero = multiplication(c(sK5),multiplication(sK5,X0)),
inference(forward_demodulation,[],[f887,f49]) ).
fof(f915,plain,
multiplication(sK5,addition(sK3,sK2)) = addition(sF7,sF6),
inference(superposition,[],[f90,f72]) ).
fof(f933,plain,
multiplication(sK5,addition(sK3,sK2)) = addition(sF6,sF7),
inference(forward_demodulation,[],[f915,f39]) ).
fof(f940,plain,
addition(sF6,sF7) = multiplication(sK5,addition(sK2,sK3)),
inference(forward_demodulation,[],[f933,f39]) ).
fof(f945,plain,
multiplication(sK5,sK3) = addition(sF6,sF7),
inference(forward_demodulation,[],[f940,f80]) ).
fof(f947,plain,
sF7 = addition(sF6,sF7),
inference(forward_demodulation,[],[f945,f74]) ).
fof(f951,plain,
leq(sF6,sF7),
inference(superposition,[],[f299,f947]) ).
fof(f955,plain,
spl9_7,
inference(avatar_split_clause,[],[f951,f229]) ).
fof(f1001,plain,
multiplication(sK5,addition(sK2,sK4)) = addition(sF6,sF8),
inference(superposition,[],[f89,f76]) ).
fof(f1016,plain,
multiplication(sK5,sK4) = addition(sF6,sF8),
inference(forward_demodulation,[],[f1001,f81]) ).
fof(f1024,plain,
sF8 = addition(sF6,sF8),
inference(forward_demodulation,[],[f1016,f76]) ).
fof(f1033,plain,
( sF8 != sF8
| leq(sF6,sF8) ),
inference(superposition,[],[f51,f1024]) ).
fof(f1037,plain,
leq(sF6,sF8),
inference(trivial_inequality_removal,[],[f1033]) ).
fof(f1041,plain,
( $false
| spl9_6 ),
inference(forward_subsumption_resolution,[],[f1037,f227]) ).
fof(f1042,plain,
spl9_6,
inference(avatar_contradiction_clause,[],[f1041]) ).
fof(f1043,plain,
( ~ leq(sF6,sF8)
| sF7 = addition(sF7,sK1(sF7,sF8,sF6))
| ~ spl9_7 ),
inference(forward_subsumption_resolution,[],[f236,f230]) ).
fof(f1044,plain,
( sF7 = addition(sF7,sK1(sF7,sF8,sF6))
| ~ spl9_6
| ~ spl9_7 ),
inference(forward_subsumption_resolution,[],[f1043,f226]) ).
fof(f1068,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_6
| ~ spl9_7 ),
inference(superposition,[],[f503,f1044]) ).
fof(f1352,plain,
( zero != zero
| zero != multiplication(sK5,c(sK5))
| complement(c(sK5),sK5)
| one != addition(sK5,c(sK5)) ),
inference(superposition,[],[f57,f885]) ).
fof(f1359,plain,
( zero != multiplication(sK5,c(sK5))
| complement(c(sK5),sK5)
| one != addition(sK5,c(sK5)) ),
inference(trivial_inequality_removal,[],[f1352]) ).
fof(f1367,plain,
( complement(c(sK5),sK5)
| one != addition(sK5,c(sK5)) ),
inference(forward_subsumption_resolution,[],[f1359,f882]) ).
fof(f1382,definition,
( spl9_40
<=> zero = sF8 ),
introduced(definition,[new_symbols(definition,[spl9_40])],[avatar_definition]) ).
fof(f1383,plain,
( zero = sF8
| ~ spl9_40 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f1384,plain,
( zero != sF8
| spl9_40 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f1399,definition,
( spl9_44
<=> zero = sF7 ),
introduced(definition,[new_symbols(definition,[spl9_44])],[avatar_definition]) ).
fof(f1400,plain,
( zero = sF7
| ~ spl9_44 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1401,plain,
( zero != sF7
| spl9_44 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1416,definition,
( spl9_48
<=> zero = sF6 ),
introduced(definition,[new_symbols(definition,[spl9_48])],[avatar_definition]) ).
fof(f1417,plain,
( zero = sF6
| ~ spl9_48 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1418,plain,
( zero != sF6
| spl9_48 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1427,plain,
complement(c(sK5),sK5),
inference(forward_subsumption_resolution,[],[f1367,f108]) ).
fof(f1478,plain,
( sK5 = c(c(sK5))
| ~ test(c(sK5)) ),
inference(resolution,[],[f1427,f59]) ).
fof(f1481,definition,
( spl9_54
<=> test(c(sK5)) ),
introduced(definition,[new_symbols(definition,[spl9_54])],[avatar_definition]) ).
fof(f1483,plain,
( ~ test(c(sK5))
| spl9_54 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f1485,definition,
( spl9_55
<=> sK5 = c(c(sK5)) ),
introduced(definition,[new_symbols(definition,[spl9_55])],[avatar_definition]) ).
fof(f1487,plain,
( sK5 = c(c(sK5))
| ~ spl9_55 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f1488,plain,
( ~ spl9_54
| spl9_55 ),
inference(avatar_split_clause,[],[f1478,f1485,f1481]) ).
fof(f2002,plain,
( zero != zero
| zero != multiplication(c(sK5),sK5)
| complement(sK5,c(sK5))
| one != addition(c(sK5),sK5) ),
inference(superposition,[],[f57,f882]) ).
fof(f2010,plain,
( zero != multiplication(c(sK5),sK5)
| complement(sK5,c(sK5))
| one != addition(c(sK5),sK5) ),
inference(trivial_inequality_removal,[],[f2002]) ).
fof(f2018,plain,
( complement(sK5,c(sK5))
| one != addition(c(sK5),sK5) ),
inference(forward_subsumption_resolution,[],[f2010,f885]) ).
fof(f2029,plain,
( one != addition(sK5,c(sK5))
| complement(sK5,c(sK5)) ),
inference(forward_demodulation,[],[f2018,f39]) ).
fof(f2034,plain,
complement(sK5,c(sK5)),
inference(forward_subsumption_resolution,[],[f2029,f108]) ).
fof(f2035,plain,
test(c(sK5)),
inference(resolution,[],[f2034,f53]) ).
fof(f2041,plain,
( $false
| spl9_54 ),
inference(forward_subsumption_resolution,[],[f2035,f1483]) ).
fof(f2042,plain,
spl9_54,
inference(avatar_contradiction_clause,[],[f2041]) ).
fof(f2757,plain,
zero = multiplication(c(sK5),sF7),
inference(superposition,[],[f908,f74]) ).
fof(f2843,plain,
( ! [X0] : addition(zero,multiplication(X0,sK1(sF7,sF8,sF6))) = addition(zero,multiplication(addition(c(sK5),X0),sK1(sF7,sF8,sF6)))
| ~ spl9_6
| ~ spl9_7 ),
inference(superposition,[],[f1068,f2757]) ).
fof(f2885,plain,
( ! [X0] : addition(zero,multiplication(X0,sK1(sF7,sF8,sF6))) = multiplication(addition(c(sK5),X0),sK1(sF7,sF8,sF6))
| ~ spl9_6
| ~ spl9_7 ),
inference(forward_demodulation,[],[f2843,f446]) ).
fof(f2889,plain,
( ! [X0] : multiplication(X0,sK1(sF7,sF8,sF6)) = multiplication(addition(c(sK5),X0),sK1(sF7,sF8,sF6))
| ~ spl9_6
| ~ spl9_7 ),
inference(forward_demodulation,[],[f2885,f446]) ).
fof(f3735,plain,
( addition(sK4,sF8) = addition(sK4,sK1(sF7,sF8,sF6))
| ~ spl9_5 ),
inference(superposition,[],[f396,f223]) ).
fof(f3778,plain,
( sK4 = addition(sK4,sK1(sF7,sF8,sF6))
| ~ spl9_5 ),
inference(forward_demodulation,[],[f3735,f358]) ).
fof(f3798,plain,
( leq(sK1(sF7,sF8,sF6),sK4)
| ~ spl9_5 ),
inference(superposition,[],[f321,f3778]) ).
fof(f3829,plain,
( ~ leq(sK1(sF7,sF8,sF6),sK3)
| leq(sK1(sF7,sF8,sF6),sK2)
| ~ spl9_5 ),
inference(resolution,[],[f3798,f119]) ).
fof(f3833,definition,
( spl9_122
<=> leq(sK1(sF7,sF8,sF6),sK2) ),
introduced(definition,[new_symbols(definition,[spl9_122])],[avatar_definition]) ).
fof(f3835,plain,
( leq(sK1(sF7,sF8,sF6),sK2)
| ~ spl9_122 ),
inference(avatar_component_clause,[],[f3833]) ).
fof(f3837,definition,
( spl9_123
<=> leq(sK1(sF7,sF8,sF6),sK3) ),
introduced(definition,[new_symbols(definition,[spl9_123])],[avatar_definition]) ).
fof(f3839,plain,
( ~ leq(sK1(sF7,sF8,sF6),sK3)
| spl9_123 ),
inference(avatar_component_clause,[],[f3837]) ).
fof(f3840,plain,
( spl9_122
| ~ spl9_123
| ~ spl9_5 ),
inference(avatar_split_clause,[],[f3829,f221,f3837,f3833]) ).
fof(f3845,plain,
( addition(sK3,sF7) = addition(sK3,sK1(sF7,sF8,sF6))
| ~ spl9_6
| ~ spl9_7 ),
inference(superposition,[],[f370,f1044]) ).
fof(f3884,plain,
( sK3 = addition(sK3,sK1(sF7,sF8,sF6))
| ~ spl9_6
| ~ spl9_7 ),
inference(forward_demodulation,[],[f3845,f359]) ).
fof(f3897,plain,
( sK3 != sK3
| leq(sK1(sF7,sF8,sF6),sK3)
| ~ spl9_6
| ~ spl9_7 ),
inference(superposition,[],[f124,f3884]) ).
fof(f3907,plain,
( leq(sK1(sF7,sF8,sF6),sK3)
| ~ spl9_6
| ~ spl9_7 ),
inference(trivial_inequality_removal,[],[f3897]) ).
fof(f3913,plain,
( $false
| ~ spl9_6
| ~ spl9_7
| spl9_123 ),
inference(forward_subsumption_resolution,[],[f3907,f3839]) ).
fof(f3914,plain,
( ~ spl9_6
| ~ spl9_7
| spl9_123 ),
inference(avatar_contradiction_clause,[],[f3913]) ).
fof(f3929,plain,
( sK2 = addition(sK1(sF7,sF8,sF6),sK2)
| ~ spl9_122 ),
inference(resolution,[],[f3835,f50]) ).
fof(f3930,plain,
( sK2 = addition(sK2,sK1(sF7,sF8,sF6))
| ~ spl9_122 ),
inference(forward_demodulation,[],[f3929,f39]) ).
fof(f4469,plain,
( multiplication(one,sK1(sF7,sF8,sF6)) = multiplication(c(c(sK5)),sK1(sF7,sF8,sF6))
| zero = c(c(sK5))
| ~ spl9_6
| ~ spl9_7 ),
inference(superposition,[],[f2889,f237]) ).
fof(f4500,plain,
( multiplication(one,sK1(sF7,sF8,sF6)) = multiplication(sK5,sK1(sF7,sF8,sF6))
| zero = c(c(sK5))
| ~ spl9_6
| ~ spl9_7
| ~ spl9_55 ),
inference(forward_demodulation,[],[f4469,f1487]) ).
fof(f4509,plain,
( sK1(sF7,sF8,sF6) = multiplication(sK5,sK1(sF7,sF8,sF6))
| zero = c(c(sK5))
| ~ spl9_6
| ~ spl9_7
| ~ spl9_55 ),
inference(forward_demodulation,[],[f4500,f45]) ).
fof(f4513,plain,
( zero = sK5
| sK1(sF7,sF8,sF6) = multiplication(sK5,sK1(sF7,sF8,sF6))
| ~ spl9_6
| ~ spl9_7
| ~ spl9_55 ),
inference(forward_demodulation,[],[f4509,f1487]) ).
fof(f4517,definition,
( spl9_135
<=> sK1(sF7,sF8,sF6) = multiplication(sK5,sK1(sF7,sF8,sF6)) ),
introduced(definition,[new_symbols(definition,[spl9_135])],[avatar_definition]) ).
fof(f4519,plain,
( sK1(sF7,sF8,sF6) = multiplication(sK5,sK1(sF7,sF8,sF6))
| ~ spl9_135 ),
inference(avatar_component_clause,[],[f4517]) ).
fof(f4521,definition,
( spl9_136
<=> zero = sK5 ),
introduced(definition,[new_symbols(definition,[spl9_136])],[avatar_definition]) ).
fof(f4523,plain,
( zero = sK5
| ~ spl9_136 ),
inference(avatar_component_clause,[],[f4521]) ).
fof(f4524,plain,
( spl9_135
| spl9_136
| ~ spl9_6
| ~ spl9_7
| ~ spl9_55 ),
inference(avatar_split_clause,[],[f4513,f1485,f229,f225,f4521,f4517]) ).
fof(f4529,plain,
( multiplication(sK5,addition(sK2,sK1(sF7,sF8,sF6))) = addition(sF6,sK1(sF7,sF8,sF6))
| ~ spl9_135 ),
inference(superposition,[],[f89,f4519]) ).
fof(f4554,plain,
( multiplication(sK5,sK2) = addition(sF6,sK1(sF7,sF8,sF6))
| ~ spl9_122
| ~ spl9_135 ),
inference(forward_demodulation,[],[f4529,f3930]) ).
fof(f4576,plain,
( sF6 = addition(sF6,sK1(sF7,sF8,sF6))
| ~ spl9_122
| ~ spl9_135 ),
inference(forward_demodulation,[],[f4554,f72]) ).
fof(f4588,plain,
( leq(sK1(sF7,sF8,sF6),sF6)
| ~ spl9_122
| ~ spl9_135 ),
inference(superposition,[],[f321,f4576]) ).
fof(f4609,plain,
( ~ leq(sF6,sF7)
| ~ leq(sF6,sF8)
| ismeet(sF6,sF7,sF8)
| ~ spl9_122
| ~ spl9_135 ),
inference(resolution,[],[f4588,f66]) ).
fof(f4612,plain,
( ~ leq(sF6,sF8)
| ismeet(sF6,sF7,sF8)
| ~ spl9_7
| ~ spl9_122
| ~ spl9_135 ),
inference(forward_subsumption_resolution,[],[f4609,f230]) ).
fof(f4613,plain,
( ismeet(sF6,sF7,sF8)
| ~ spl9_6
| ~ spl9_7
| ~ spl9_122
| ~ spl9_135 ),
inference(forward_subsumption_resolution,[],[f4612,f226]) ).
fof(f4614,plain,
( $false
| ~ spl9_6
| ~ spl9_7
| ~ spl9_122
| ~ spl9_135 ),
inference(forward_subsumption_resolution,[],[f4613,f77]) ).
fof(f4615,plain,
( ~ spl9_6
| ~ spl9_7
| ~ spl9_122
| ~ spl9_135 ),
inference(avatar_contradiction_clause,[],[f4614]) ).
fof(f4623,plain,
( ! [X0] : multiplication(zero,addition(sK4,X0)) = addition(sF8,multiplication(zero,X0))
| ~ spl9_136 ),
inference(superposition,[],[f88,f4523]) ).
fof(f4624,plain,
( ! [X0] : multiplication(zero,addition(sK2,X0)) = addition(sF6,multiplication(zero,X0))
| ~ spl9_136 ),
inference(superposition,[],[f89,f4523]) ).
fof(f4625,plain,
( ! [X0] : multiplication(zero,addition(sK3,X0)) = addition(sF7,multiplication(zero,X0))
| ~ spl9_136 ),
inference(superposition,[],[f90,f4523]) ).
fof(f4695,plain,
( ! [X0] : addition(sF7,zero) = multiplication(zero,addition(sK3,X0))
| ~ spl9_136 ),
inference(forward_demodulation,[],[f4625,f49]) ).
fof(f4696,plain,
( ! [X0] : addition(sF6,zero) = multiplication(zero,addition(sK2,X0))
| ~ spl9_136 ),
inference(forward_demodulation,[],[f4624,f49]) ).
fof(f4697,plain,
( ! [X0] : addition(sF8,zero) = multiplication(zero,addition(sK4,X0))
| ~ spl9_136 ),
inference(forward_demodulation,[],[f4623,f49]) ).
fof(f4716,plain,
( zero = addition(sF7,zero)
| ~ spl9_136 ),
inference(forward_demodulation,[],[f4695,f49]) ).
fof(f4717,plain,
( zero = addition(sF6,zero)
| ~ spl9_136 ),
inference(forward_demodulation,[],[f4696,f49]) ).
fof(f4718,plain,
( zero = addition(sF8,zero)
| ~ spl9_136 ),
inference(forward_demodulation,[],[f4697,f49]) ).
fof(f4726,plain,
( zero = sF7
| ~ spl9_136 ),
inference(forward_demodulation,[],[f4716,f41]) ).
fof(f4727,plain,
( zero = sF6
| ~ spl9_136 ),
inference(forward_demodulation,[],[f4717,f41]) ).
fof(f4728,plain,
( zero = sF8
| ~ spl9_136 ),
inference(forward_demodulation,[],[f4718,f41]) ).
fof(f4730,plain,
( $false
| spl9_44
| ~ spl9_136 ),
inference(forward_subsumption_resolution,[],[f4726,f1401]) ).
fof(f4731,plain,
( spl9_44
| ~ spl9_136 ),
inference(avatar_contradiction_clause,[],[f4730]) ).
fof(f4732,plain,
( $false
| spl9_48
| ~ spl9_136 ),
inference(forward_subsumption_resolution,[],[f4727,f1418]) ).
fof(f4733,plain,
( spl9_48
| ~ spl9_136 ),
inference(avatar_contradiction_clause,[],[f4732]) ).
fof(f4734,plain,
( $false
| spl9_40
| ~ spl9_136 ),
inference(forward_subsumption_resolution,[],[f4728,f1384]) ).
fof(f4735,plain,
( spl9_40
| ~ spl9_136 ),
inference(avatar_contradiction_clause,[],[f4734]) ).
fof(f4760,plain,
( ~ ismeet(zero,sF7,sF8)
| ~ spl9_48 ),
inference(superposition,[],[f77,f1417]) ).
fof(f4774,plain,
( sF7 = addition(sF7,sK1(sF7,sF8,zero))
| ~ spl9_6
| ~ spl9_7
| ~ spl9_48 ),
inference(superposition,[],[f1044,f1417]) ).
fof(f4868,plain,
( sF7 = addition(sF7,sK1(sF7,zero,zero))
| ~ spl9_6
| ~ spl9_7
| ~ spl9_40
| ~ spl9_48 ),
inference(forward_demodulation,[],[f4774,f1383]) ).
fof(f4873,plain,
( ~ ismeet(zero,sF7,zero)
| ~ spl9_40
| ~ spl9_48 ),
inference(forward_demodulation,[],[f4760,f1383]) ).
fof(f4906,plain,
( zero = addition(zero,sK1(zero,zero,zero))
| ~ spl9_6
| ~ spl9_7
| ~ spl9_40
| ~ spl9_44
| ~ spl9_48 ),
inference(forward_demodulation,[],[f4868,f1400]) ).
fof(f4910,plain,
( ~ ismeet(zero,zero,zero)
| ~ spl9_40
| ~ spl9_44
| ~ spl9_48 ),
inference(forward_demodulation,[],[f4873,f1400]) ).
fof(f4924,plain,
( zero = sK1(zero,zero,zero)
| ~ spl9_6
| ~ spl9_7
| ~ spl9_40
| ~ spl9_44
| ~ spl9_48 ),
inference(forward_demodulation,[],[f4906,f446]) ).
fof(f5686,plain,
( ~ leq(zero,zero)
| ~ leq(zero,zero)
| ~ leq(zero,zero)
| ismeet(zero,zero,zero)
| ~ spl9_6
| ~ spl9_7
| ~ spl9_40
| ~ spl9_44
| ~ spl9_48 ),
inference(superposition,[],[f66,f4924]) ).
fof(f5687,plain,
( ~ leq(zero,zero)
| ismeet(zero,zero,zero)
| ~ spl9_6
| ~ spl9_7
| ~ spl9_40
| ~ spl9_44
| ~ spl9_48 ),
inference(duplicate_literal_removal,[],[f5686]) ).
fof(f5690,plain,
( ismeet(zero,zero,zero)
| ~ spl9_6
| ~ spl9_7
| ~ spl9_40
| ~ spl9_44
| ~ spl9_48 ),
inference(forward_subsumption_resolution,[],[f5687,f461]) ).
fof(f5691,plain,
( $false
| ~ spl9_6
| ~ spl9_7
| ~ spl9_40
| ~ spl9_44
| ~ spl9_48 ),
inference(forward_subsumption_resolution,[],[f5690,f4910]) ).
fof(f5692,plain,
( ~ spl9_6
| ~ spl9_7
| ~ spl9_40
| ~ spl9_44
| ~ spl9_48 ),
inference(avatar_contradiction_clause,[],[f5691]) ).
cnf(s3,plain,
( spl9_5
| ~ spl9_6
| ~ spl9_7 ),
inference(sat_conversion,[],[f232]) ).
cnf(s13,plain,
spl9_7,
inference(sat_conversion,[],[f955]) ).
cnf(s18,plain,
spl9_6,
inference(sat_conversion,[],[f1042]) ).
cnf(s30,plain,
( ~ spl9_54
| spl9_55 ),
inference(sat_conversion,[],[f1488]) ).
cnf(s40,plain,
spl9_54,
inference(sat_conversion,[],[f2042]) ).
cnf(s63,plain,
( ~ spl9_5
| spl9_122
| ~ spl9_123 ),
inference(sat_conversion,[],[f3840]) ).
cnf(s65,plain,
( ~ spl9_6
| ~ spl9_7
| spl9_123 ),
inference(sat_conversion,[],[f3914]) ).
cnf(s72,plain,
( ~ spl9_6
| ~ spl9_7
| ~ spl9_55
| spl9_135
| spl9_136 ),
inference(sat_conversion,[],[f4524]) ).
cnf(s75,plain,
( ~ spl9_6
| ~ spl9_7
| ~ spl9_122
| ~ spl9_135 ),
inference(sat_conversion,[],[f4615]) ).
cnf(s84,plain,
( spl9_44
| ~ spl9_136 ),
inference(sat_conversion,[],[f4731]) ).
cnf(s85,plain,
( spl9_48
| ~ spl9_136 ),
inference(sat_conversion,[],[f4733]) ).
cnf(s86,plain,
( spl9_40
| ~ spl9_136 ),
inference(sat_conversion,[],[f4735]) ).
cnf(s108,plain,
( ~ spl9_6
| ~ spl9_7
| ~ spl9_40
| ~ spl9_44
| ~ spl9_48 ),
inference(sat_conversion,[],[f5692]) ).
cnf(s109,plain,
spl9_55,
inference(rat,[],[s30,s40]) ).
cnf(s110,plain,
spl9_123,
inference(rat,[],[s65,s18,s13]) ).
cnf(s111,plain,
spl9_5,
inference(rat,[],[s3,s13,s18]) ).
cnf(s112,plain,
spl9_122,
inference(rat,[],[s63,s110,s111]) ).
cnf(s113,plain,
~ spl9_135,
inference(rat,[],[s75,s13,s18,s112]) ).
cnf(s114,plain,
spl9_136,
inference(rat,[],[s72,s13,s18,s109,s113]) ).
cnf(s116,plain,
spl9_40,
inference(rat,[],[s86,s114]) ).
cnf(s117,plain,
spl9_48,
inference(rat,[],[s85,s114]) ).
cnf(s118,plain,
spl9_44,
inference(rat,[],[s84,s114]) ).
cnf(s121,plain,
$false,
inference(rat,[],[s108,s117,s13,s18,s118,s116]) ).
fof(f5693,plain,
$false,
inference(avatar_sat_refutation,[],[s121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE031+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n015.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 13:07:16 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 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
% 16.66/3.29 % (1650564)Detected formulas, will run a generic FOF schedule.
% 16.66/3.29 % (1650592)dis-21_1_sil=8000:lcm=predicate:random_seed=3648755151: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)
% 16.66/3.29 % (1650589)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=805433025:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 16.66/3.29 % (1650589)Refutation not found, incomplete strategy
% 16.66/3.29 % (1650589)------------------------------
% 16.66/3.29 % (1650589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.66/3.29 % (1650589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.66/3.29 % (1650589)CaDiCaL version: 2.1.3
% 16.66/3.29 % (1650589)Termination reason: Refutation not found, incomplete strategy
% 16.66/3.29 % (1650589)Time elapsed: 0.003 s
% 16.66/3.29 % (1650589)Peak memory usage: 88 MB
% 16.66/3.29 % (1650589)Instructions burned: 1 (million)
% 16.66/3.29 % (1650586)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=3201860525:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 16.66/3.29 % (1650588)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=3839844503:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 16.66/3.29 % (1650585)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=715116655:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 16.66/3.29 % (1650592)Instruction limit reached!
% 16.66/3.29 % (1650592)------------------------------
% 16.66/3.29 % (1650592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.66/3.29 % (1650592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.66/3.29 % (1650592)CaDiCaL version: 2.1.3
% 16.66/3.29 % (1650592)Termination reason: Instruction limit
% 16.66/3.29 % (1650592)Termination phase: Saturation
% 16.66/3.29 % (1650592)Time elapsed: 0.061 s
% 16.66/3.29 % (1650592)Peak memory usage: 89 MB
% 16.66/3.29 % (1650592)Instructions burned: 129 (million)
% 16.66/3.29 % (1650590)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=360166025:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 16.66/3.29 % (1650591)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=475617214:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 16.66/3.29 % (1650590)Instruction limit reached!
% 16.66/3.29 % (1650590)------------------------------
% 16.66/3.29 % (1650590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.66/3.29 % (1650590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.66/3.29 % (1650590)CaDiCaL version: 2.1.3
% 16.66/3.29 % (1650590)Termination reason: Instruction limit
% 16.66/3.29 % (1650590)Termination phase: Saturation
% 16.66/3.29 % (1650590)Time elapsed: 0.115 s
% 16.66/3.29 % (1650590)Peak memory usage: 88 MB
% 16.66/3.29 % (1650590)Instructions burned: 121 (million)
% 16.66/3.29 % (1650591)Instruction limit reached!
% 16.66/3.29 % (1650591)------------------------------
% 16.66/3.29 % (1650591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.66/3.29 % (1650591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.66/3.29 % (1650591)CaDiCaL version: 2.1.3
% 16.66/3.29 % (1650591)Termination reason: Instruction limit
% 16.66/3.29 % (1650591)Termination phase: Saturation
% 16.66/3.29 % (1650591)Time elapsed: 0.139 s
% 16.66/3.29 % (1650591)Peak memory usage: 90 MB
% 16.66/3.29 % (1650591)Instructions burned: 139 (million)
% 16.66/3.29 % (1650604)lrs+10_1_sil=8000:sp=occurrence:random_seed=2593899458:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 16.66/3.29 % (1650589)------------------------------
% 16.66/3.29 % (1650589)------------------------------
% 16.66/3.29 % (1650604)Instruction limit reached!
% 16.66/3.29 % (1650604)------------------------------
% 16.66/3.29 % (1650604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.66/3.29 % (1650604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.66/3.29 % (1650604)CaDiCaL version: 2.1.3
% 16.66/3.29 % (1650604)Termination reason: Instruction limit
% 16.66/3.29 % (1650604)Termination phase: Saturation
% 16.66/3.29 % (1650604)Time elapsed: 0.151 s
% 18.92/3.64 % (1650604)Peak memory usage: 91 MB
% 18.92/3.64 % (1650604)Instructions burned: 287 (million)
% 18.92/3.64 % (1650609)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3613362394:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 18.92/3.64 % (1650610)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3682099990:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 18.92/3.64 % (1650609)Instruction limit reached!
% 18.92/3.64 % (1650609)------------------------------
% 18.92/3.64 % (1650609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.92/3.64 % (1650609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.92/3.64 % (1650609)CaDiCaL version: 2.1.3
% 18.92/3.64 % (1650609)Termination reason: Instruction limit
% 18.92/3.64 % (1650609)Termination phase: Saturation
% 18.92/3.64 % (1650609)Time elapsed: 0.072 s
% 18.92/3.64 % (1650609)Peak memory usage: 89 MB
% 18.92/3.64 % (1650609)Instructions burned: 158 (million)
% 18.92/3.64 % (1650616)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=1427739352:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 18.92/3.64 % (1650617)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=496229934:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 18.92/3.64 % (1650617)Instruction limit reached!
% 18.92/3.64 % (1650617)------------------------------
% 18.92/3.64 % (1650617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.92/3.64 % (1650617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.92/3.64 % (1650617)CaDiCaL version: 2.1.3
% 18.92/3.64 % (1650617)Termination reason: Instruction limit
% 18.92/3.64 % (1650617)Termination phase: Saturation
% 18.92/3.64 % (1650617)Time elapsed: 0.124 s
% 18.92/3.64 % (1650617)Peak memory usage: 89 MB
% 18.92/3.64 % (1650617)Instructions burned: 296 (million)
% 18.92/3.64 % (1650610)Instruction limit reached!
% 18.92/3.64 % (1650610)------------------------------
% 18.92/3.64 % (1650610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.92/3.64 % (1650610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.92/3.64 % (1650610)CaDiCaL version: 2.1.3
% 18.92/3.64 % (1650610)Termination reason: Instruction limit
% 18.92/3.64 % (1650610)Termination phase: Saturation
% 18.92/3.64 % (1650610)Time elapsed: 0.281 s
% 18.92/3.64 % (1650610)Peak memory usage: 93 MB
% 18.92/3.64 % (1650610)Instructions burned: 326 (million)
% 18.92/3.64 % (1650622)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3745990863:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 18.92/3.64 % (1650616)Instruction limit reached!
% 18.92/3.64 % (1650616)------------------------------
% 18.92/3.64 % (1650616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.92/3.64 % (1650616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.92/3.64 % (1650616)CaDiCaL version: 2.1.3
% 18.92/3.64 % (1650616)Termination reason: Instruction limit
% 18.92/3.64 % (1650616)Termination phase: Saturation
% 18.92/3.64 % (1650616)Time elapsed: 0.249 s
% 18.92/3.64 % (1650616)Peak memory usage: 92 MB
% 18.92/3.64 % (1650616)Instructions burned: 248 (million)
% 18.92/3.64 % (1650628)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2778463673:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 18.92/3.64 % (1650628)Instruction limit reached!
% 18.92/3.64 % (1650628)------------------------------
% 18.92/3.64 % (1650628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.92/3.64 % (1650628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.92/3.64 % (1650628)CaDiCaL version: 2.1.3
% 18.92/3.64 % (1650628)Termination reason: Instruction limit
% 18.92/3.64 % (1650628)Termination phase: Saturation
% 18.92/3.64 % (1650628)Time elapsed: 0.070 s
% 18.92/3.64 % (1650628)Peak memory usage: 90 MB
% 18.92/3.64 % (1650628)Instructions burned: 114 (million)
% 18.92/3.64 % (1650629)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1207772717:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 18.92/3.64 % (1650634)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1168360317:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 18.92/3.64 % (1650629)Instruction limit reached!
% 18.92/3.64 % (1650629)------------------------------
% 18.92/3.64 % (1650629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.92/3.64 % (1650629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.92/3.64 % (1650629)CaDiCaL version: 2.1.3
% 18.92/3.64 % (1650629)Termination reason: Instruction limit
% 18.92/3.64 % (1650629)Termination phase: Saturation
% 18.92/3.64 % (1650629)Time elapsed: 0.114 s
% 18.92/3.64 % (1650629)Peak memory usage: 89 MB
% 18.92/3.64 % (1650629)Instructions burned: 127 (million)
% 18.92/3.64 % (1650634)Instruction limit reached!
% 18.92/3.64 % (1650634)------------------------------
% 18.92/3.64 % (1650634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.92/3.64 % (1650634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.92/3.64 % (1650634)CaDiCaL version: 2.1.3
% 18.92/3.64 % (1650634)Termination reason: Instruction limit
% 18.92/3.64 % (1650634)Termination phase: Saturation
% 18.92/3.64 % (1650634)Time elapsed: 0.110 s
% 18.92/3.64 % (1650634)Peak memory usage: 89 MB
% 18.92/3.64 % (1650634)Instructions burned: 115 (million)
% 18.92/3.64 % (1650637)lrs+10_1_sil=8000:sp=occurrence:random_seed=928638978:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 18.92/3.64 % (1650641)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3337160701:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 18.92/3.64 % (1650641)Refutation not found, incomplete strategy
% 18.92/3.64 % (1650641)------------------------------
% 18.92/3.64 % (1650641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.92/3.64 % (1650641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.92/3.64 % (1650641)CaDiCaL version: 2.1.3
% 18.92/3.64 % (1650641)Termination reason: Refutation not found, incomplete strategy
% 18.92/3.64 % (1650641)Time elapsed: 0.003 s
% 18.92/3.64 % (1650641)Peak memory usage: 88 MB
% 18.92/3.64 % (1650641)Instructions burned: 1 (million)
% 18.92/3.64 % (1650644)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3590503577:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 18.92/3.64 % (1650637)Instruction limit reached!
% 18.92/3.64 % (1650637)------------------------------
% 18.92/3.64 % (1650637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.92/3.64 % (1650637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.92/3.64 % (1650637)CaDiCaL version: 2.1.3
% 18.92/3.64 % (1650637)Termination reason: Instruction limit
% 18.92/3.64 % (1650637)Termination phase: Saturation
% 18.92/3.64 % (1650637)Time elapsed: 0.401 s
% 18.92/3.64 % (1650637)Peak memory usage: 95 MB
% 18.92/3.64 % (1650637)Instructions burned: 908 (million)
% 18.92/3.64 % (1650641)------------------------------
% 18.92/3.64 % (1650641)------------------------------
% 18.92/3.64 % (1650650)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3839373844:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 18.92/3.64 % (1650650)Refutation not found, incomplete strategy
% 18.92/3.64 % (1650650)------------------------------
% 18.92/3.64 % (1650650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.92/3.64 % (1650650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.92/3.64 % (1650650)CaDiCaL version: 2.1.3
% 18.92/3.64 % (1650650)Termination reason: Refutation not found, incomplete strategy
% 18.92/3.64 % (1650650)Time elapsed: 0.001 s
% 18.92/3.64 % (1650650)Peak memory usage: 89 MB
% 18.92/3.64 % (1650650)Instructions burned: 1 (million)
% 18.92/3.64 % (1650653)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1135720912:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 18.92/3.64 % (1650653)Refutation not found, incomplete strategy
% 18.92/3.64 % (1650653)------------------------------
% 18.92/3.64 % (1650653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.92/3.64 % (1650653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.92/3.64 % (1650653)CaDiCaL version: 2.1.3
% 18.92/3.64 % (1650653)Termination reason: Refutation not found, incomplete strategy
% 18.92/3.64 % (1650653)Time elapsed: 0.002 s
% 18.92/3.64 % (1650653)Peak memory usage: 88 MB
% 18.92/3.64 % (1650653)Instructions burned: 2 (million)
% 18.92/3.64 % (1650650)------------------------------
% 18.92/3.64 % (1650650)------------------------------
% 18.92/3.64 % (1650657)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2553097027:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 18.92/3.64 % (1650622)First to succeed.
% 18.92/3.64 % (1650622)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1650564"
% 18.92/3.64 % (1650653)------------------------------
% 18.92/3.64 % (1650653)------------------------------
% 18.92/3.64 % (1650585)Also succeeded, but the first one will report.
% 18.92/3.64 % (1650660)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=2653628170:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 18.92/3.64 % (1650622)Refutation found. Thanks to Tanya!
% 18.92/3.64 % SZS status Theorem for theBenchmark
% 18.92/3.64 % SZS output start Proof for theBenchmark
% See solution above
% 19.98/3.84 % (1650622)------------------------------
% 19.98/3.84 % (1650622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.98/3.84 % (1650622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.98/3.84 % (1650622)CaDiCaL version: 2.1.3
% 19.98/3.84 % (1650622)Termination reason: Refutation
% 19.98/3.84 % (1650622)Time elapsed: 1.470 s
% 19.98/3.84 % (1650622)Peak memory usage: 137 MB
% 19.98/3.84 % (1650622)Instructions burned: 1649 (million)
% 19.98/3.84 % (1650622)------------------------------
% 19.98/3.84 % (1650622)------------------------------
% 19.98/3.84 % (1650564)Success in time 2.742 s
% 19.98/3.84 % Vampire exiting
%------------------------------------------------------------------------------