%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE020+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:40:04 AM UTC 2026
% Result : Theorem 13.12s 2.88s
% Output : Refutation 14.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 23
% Syntax : Number of formulae : 275 ( 236 unt; 8 def)
% Number of atoms : 349 ( 259 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 119 ( 45 ~; 39 |; 24 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 178 ( 0 sgn 172 !; 6 ?)
% 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(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(addition(X0,multiplication(X1,X2)),multiplication(addition(X0,X1),addition(X0,X2)))
& leq(multiplication(addition(X0,X1),addition(X0,X2)),addition(X0,multiplication(X1,X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( ( test(X0)
& test(X1)
& test(X2) )
=> ( leq(addition(X0,multiplication(X1,X2)),multiplication(addition(X0,X1),addition(X0,X2)))
& leq(multiplication(addition(X0,X1),addition(X0,X2)),addition(X0,multiplication(X1,X2))) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( addition(X0,X1) = X1
=> leq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f20,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f23,plain,
? [X0,X1,X2] :
( ( ~ leq(addition(X0,multiplication(X1,X2)),multiplication(addition(X0,X1),addition(X0,X2)))
| ~ leq(multiplication(addition(X0,X1),addition(X0,X2)),addition(X0,multiplication(X1,X2))) )
& test(X0)
& test(X1)
& test(X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f24,plain,
? [X0,X1,X2] :
( ( ~ leq(addition(X0,multiplication(X1,X2)),multiplication(addition(X0,X1),addition(X0,X2)))
| ~ leq(multiplication(addition(X0,X1),addition(X0,X2)),addition(X0,multiplication(X1,X2))) )
& test(X0)
& test(X1)
& test(X2) ),
inference(flattening,[],[f23]) ).
fof(f28,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f21]) ).
fof(f31,plain,
( ( ~ leq(addition(sK1,multiplication(sK2,sK3)),multiplication(addition(sK1,sK2),addition(sK1,sK3)))
| ~ leq(multiplication(addition(sK1,sK2),addition(sK1,sK3)),addition(sK1,multiplication(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)],[f24]) ).
fof(f32,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f33,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f34,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f35,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f36,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f37,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f38,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f40,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f41,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f42,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f43,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f46,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f29]) ).
fof(f47,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f48,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f53,plain,
test(sK3),
inference(cnf_transformation,[],[f31]) ).
fof(f54,plain,
test(sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f55,plain,
test(sK1),
inference(cnf_transformation,[],[f31]) ).
fof(f56,plain,
( ~ leq(addition(sK1,multiplication(sK2,sK3)),multiplication(addition(sK1,sK2),addition(sK1,sK3)))
| ~ leq(multiplication(addition(sK1,sK2),addition(sK1,sK3)),addition(sK1,multiplication(sK2,sK3))) ),
inference(cnf_transformation,[],[f31]) ).
fof(f57,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f50]) ).
fof(f58,definition,
sF4 = multiplication(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f59,plain,
multiplication(sK2,sK3) = sF4,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF5 = addition(sK1,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f61,plain,
addition(sK1,sF4) = sF5,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF6 = addition(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f63,plain,
addition(sK1,sK2) = sF6,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF7 = addition(sK1,sK3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f65,plain,
addition(sK1,sK3) = sF7,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF8 = multiplication(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f67,plain,
multiplication(sF6,sF7) = sF8,
inference(reorient_equations,[],[f66]) ).
fof(f68,plain,
( ~ leq(sF5,sF8)
| ~ leq(sF8,sF5) ),
inference(definition_folding,[],[f56,f61,f59,f67,f65,f63,f67,f65,f63,f61,f59]) ).
fof(f70,definition,
( spl9_1
<=> leq(sF8,sF5) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f72,plain,
( ~ leq(sF8,sF5)
| spl9_1 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f74,definition,
( spl9_2
<=> leq(sF5,sF8) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f77,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f68,f74,f70]) ).
fof(f112,plain,
sF5 = addition(sF4,sK1),
inference(superposition,[],[f61,f32]) ).
fof(f114,plain,
! [X0] : multiplication(addition(sK2,X0),sK3) = addition(sF4,multiplication(X0,sK3)),
inference(superposition,[],[f40,f59]) ).
fof(f138,plain,
! [X0] : multiplication(sF6,addition(sF7,X0)) = addition(sF8,multiplication(sF6,X0)),
inference(superposition,[],[f39,f67]) ).
fof(f140,plain,
! [X0] : multiplication(sF6,addition(X0,sF7)) = addition(multiplication(sF6,X0),sF8),
inference(superposition,[],[f39,f67]) ).
fof(f158,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f33,f39]) ).
fof(f159,plain,
! [X0] : addition(sK1,addition(sF4,X0)) = addition(sF5,X0),
inference(superposition,[],[f33,f61]) ).
fof(f160,plain,
! [X0] : addition(sF6,X0) = addition(sK1,addition(sK2,X0)),
inference(superposition,[],[f33,f63]) ).
fof(f161,plain,
! [X0] : addition(sF7,X0) = addition(sK1,addition(sK3,X0)),
inference(superposition,[],[f33,f65]) ).
fof(f162,plain,
! [X0] : addition(sF5,X0) = addition(sF4,addition(sK1,X0)),
inference(superposition,[],[f33,f112]) ).
fof(f166,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f32,f33]) ).
fof(f172,plain,
! [X0] :
( ~ test(X0)
| one = addition(c(X0),X0) ),
inference(resolution,[],[f57,f46]) ).
fof(f176,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f33,f35]) ).
fof(f177,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f43,f35]) ).
fof(f178,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f33,f35]) ).
fof(f181,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f177]) ).
fof(f183,plain,
! [X0] : addition(sF6,X0) = addition(sK1,addition(X0,sK2)),
inference(superposition,[],[f160,f32]) ).
fof(f201,plain,
! [X0] : addition(sF7,X0) = addition(sK1,addition(X0,sK3)),
inference(superposition,[],[f161,f32]) ).
fof(f230,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f40,f38]) ).
fof(f258,plain,
! [X0] : multiplication(sK2,multiplication(sK3,X0)) = multiplication(sF4,X0),
inference(superposition,[],[f36,f59]) ).
fof(f287,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,addition(X0,X1)),
inference(superposition,[],[f176,f32]) ).
fof(f300,plain,
sF5 = addition(sK1,sF5),
inference(superposition,[],[f176,f61]) ).
fof(f301,plain,
sF5 = addition(sF4,sF5),
inference(superposition,[],[f176,f112]) ).
fof(f310,plain,
addition(sK1,sK2) = addition(sF6,sK1),
inference(superposition,[],[f183,f176]) ).
fof(f311,plain,
addition(sK1,sK3) = addition(sF7,sK1),
inference(superposition,[],[f201,f176]) ).
fof(f317,plain,
sF7 = addition(sF7,sK1),
inference(forward_demodulation,[],[f311,f65]) ).
fof(f318,plain,
sF6 = addition(sF6,sK1),
inference(forward_demodulation,[],[f310,f63]) ).
fof(f333,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f39,f37]) ).
fof(f349,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f32,f34]) ).
fof(f380,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,[],[f158,f40]) ).
fof(f450,plain,
! [X0,X1] : addition(multiplication(X0,sK1),multiplication(addition(X0,X1),sK3)) = addition(multiplication(X0,sF7),multiplication(X1,sK3)),
inference(superposition,[],[f380,f65]) ).
fof(f593,plain,
! [X0] : addition(sF5,multiplication(X0,sK3)) = addition(sK1,multiplication(addition(sK2,X0),sK3)),
inference(superposition,[],[f159,f114]) ).
fof(f597,plain,
! [X0] : addition(sF5,X0) = addition(sK1,addition(X0,sF4)),
inference(superposition,[],[f159,f32]) ).
fof(f642,plain,
addition(sK1,sF4) = addition(sF5,sK1),
inference(superposition,[],[f176,f597]) ).
fof(f648,plain,
sF5 = addition(sF5,sK1),
inference(forward_demodulation,[],[f642,f61]) ).
fof(f715,plain,
addition(sK3,sF4) = multiplication(addition(one,sK2),sK3),
inference(superposition,[],[f230,f59]) ).
fof(f761,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,c(X0)) ),
inference(resolution,[],[f47,f57]) ).
fof(f774,plain,
! [X0] : addition(sF5,X0) = addition(sF4,addition(X0,sK1)),
inference(superposition,[],[f162,f32]) ).
fof(f792,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(c(X0),X0) ),
inference(resolution,[],[f48,f57]) ).
fof(f804,plain,
zero = multiplication(sK3,c(sK3)),
inference(resolution,[],[f761,f53]) ).
fof(f806,plain,
zero = multiplication(sK1,c(sK1)),
inference(resolution,[],[f761,f55]) ).
fof(f890,plain,
one = addition(c(sK3),sK3),
inference(resolution,[],[f172,f53]) ).
fof(f891,plain,
one = addition(c(sK2),sK2),
inference(resolution,[],[f172,f54]) ).
fof(f892,plain,
one = addition(c(sK1),sK1),
inference(resolution,[],[f172,f55]) ).
fof(f901,plain,
! [X0,X1] : addition(multiplication(X0,c(sK1)),multiplication(addition(X0,X1),sK1)) = addition(multiplication(X0,one),multiplication(X1,sK1)),
inference(superposition,[],[f380,f892]) ).
fof(f902,plain,
! [X0,X1] : addition(multiplication(X0,c(sK1)),multiplication(addition(X0,X1),sK1)) = addition(X0,multiplication(X1,sK1)),
inference(forward_demodulation,[],[f901,f37]) ).
fof(f922,plain,
! [X0,X1] : addition(multiplication(X0,c(sK2)),multiplication(addition(X0,X1),sK2)) = addition(multiplication(X0,one),multiplication(X1,sK2)),
inference(superposition,[],[f380,f891]) ).
fof(f923,plain,
! [X0,X1] : addition(multiplication(X0,c(sK2)),multiplication(addition(X0,X1),sK2)) = addition(X0,multiplication(X1,sK2)),
inference(forward_demodulation,[],[f922,f37]) ).
fof(f943,plain,
! [X0,X1] : addition(multiplication(X0,c(sK3)),multiplication(addition(X0,X1),sK3)) = addition(multiplication(X0,one),multiplication(X1,sK3)),
inference(superposition,[],[f380,f890]) ).
fof(f944,plain,
! [X0,X1] : addition(multiplication(X0,c(sK3)),multiplication(addition(X0,X1),sK3)) = addition(X0,multiplication(X1,sK3)),
inference(forward_demodulation,[],[f943,f37]) ).
fof(f984,plain,
! [X0] : addition(X0,sF6) = addition(sK2,addition(X0,sK1)),
inference(superposition,[],[f166,f63]) ).
fof(f1259,plain,
addition(sK2,sK1) = addition(sK2,addition(sF6,sK1)),
inference(superposition,[],[f178,f160]) ).
fof(f1323,plain,
addition(sK2,sK1) = addition(sF6,sF6),
inference(forward_demodulation,[],[f1259,f984]) ).
fof(f1397,plain,
sF6 = addition(sK2,sK1),
inference(forward_demodulation,[],[f1323,f35]) ).
fof(f2061,plain,
multiplication(sK2,zero) = multiplication(sF4,c(sK3)),
inference(superposition,[],[f258,f804]) ).
fof(f2063,plain,
! [X0] : multiplication(sK3,addition(c(sK3),X0)) = addition(zero,multiplication(sK3,X0)),
inference(superposition,[],[f39,f804]) ).
fof(f2085,plain,
! [X0] : multiplication(sK3,X0) = multiplication(sK3,addition(c(sK3),X0)),
inference(forward_demodulation,[],[f2063,f349]) ).
fof(f2087,plain,
zero = multiplication(sF4,c(sK3)),
inference(forward_demodulation,[],[f2061,f41]) ).
fof(f2123,plain,
zero = multiplication(c(sK2),sK2),
inference(resolution,[],[f792,f54]) ).
fof(f2153,plain,
! [X0] : multiplication(zero,X0) = multiplication(c(sK2),multiplication(sK2,X0)),
inference(superposition,[],[f36,f2123]) ).
fof(f2179,plain,
! [X0] : zero = multiplication(c(sK2),multiplication(sK2,X0)),
inference(forward_demodulation,[],[f2153,f42]) ).
fof(f2335,plain,
addition(sF4,sF7) = addition(sF5,sF7),
inference(superposition,[],[f774,f317]) ).
fof(f2480,plain,
! [X0] : addition(X0,multiplication(X0,sK2)) = addition(multiplication(X0,c(sK2)),multiplication(X0,sK2)),
inference(superposition,[],[f923,f35]) ).
fof(f2586,plain,
! [X0] : multiplication(X0,addition(c(sK2),sK2)) = addition(X0,multiplication(X0,sK2)),
inference(forward_demodulation,[],[f2480,f39]) ).
fof(f2616,plain,
! [X0] : multiplication(X0,addition(c(sK2),sK2)) = multiplication(X0,addition(one,sK2)),
inference(forward_demodulation,[],[f2586,f333]) ).
fof(f2638,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,addition(one,sK2)),
inference(forward_demodulation,[],[f2616,f891]) ).
fof(f2648,plain,
! [X0] : multiplication(X0,addition(one,sK2)) = X0,
inference(forward_demodulation,[],[f2638,f37]) ).
fof(f2655,plain,
! [X0] : addition(X0,multiplication(X0,sK1)) = addition(multiplication(X0,c(sK1)),multiplication(X0,sK1)),
inference(superposition,[],[f902,f35]) ).
fof(f2689,plain,
addition(sK1,multiplication(sK2,sK1)) = addition(multiplication(sK1,c(sK1)),multiplication(sF6,sK1)),
inference(superposition,[],[f902,f63]) ).
fof(f2742,plain,
addition(sK1,multiplication(sK2,sK1)) = addition(zero,multiplication(sF6,sK1)),
inference(forward_demodulation,[],[f2689,f806]) ).
fof(f2771,plain,
! [X0] : multiplication(X0,addition(c(sK1),sK1)) = addition(X0,multiplication(X0,sK1)),
inference(forward_demodulation,[],[f2655,f39]) ).
fof(f2789,plain,
addition(sK1,multiplication(sK2,sK1)) = multiplication(sF6,sK1),
inference(forward_demodulation,[],[f2742,f349]) ).
fof(f2812,plain,
! [X0] : multiplication(X0,addition(c(sK1),sK1)) = multiplication(X0,addition(one,sK1)),
inference(forward_demodulation,[],[f2771,f333]) ).
fof(f2826,plain,
multiplication(sF6,sK1) = multiplication(addition(one,sK2),sK1),
inference(forward_demodulation,[],[f2789,f230]) ).
fof(f2843,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,addition(one,sK1)),
inference(forward_demodulation,[],[f2812,f892]) ).
fof(f2853,plain,
! [X0] : multiplication(X0,addition(one,sK1)) = X0,
inference(forward_demodulation,[],[f2843,f37]) ).
fof(f2879,plain,
one = addition(one,sK1),
inference(superposition,[],[f38,f2853]) ).
fof(f2929,plain,
addition(sF4,one) = addition(sF5,one),
inference(superposition,[],[f774,f2879]) ).
fof(f2981,plain,
one = addition(one,sK2),
inference(superposition,[],[f38,f2648]) ).
fof(f3027,plain,
multiplication(one,sK3) = addition(sK3,sF4),
inference(superposition,[],[f715,f2981]) ).
fof(f3028,plain,
addition(sF6,one) = addition(sK1,one),
inference(superposition,[],[f183,f2981]) ).
fof(f3051,plain,
sK3 = addition(sK3,sF4),
inference(forward_demodulation,[],[f3027,f38]) ).
fof(f3061,plain,
addition(sK1,sK3) = addition(sF7,sF4),
inference(superposition,[],[f161,f3051]) ).
fof(f3094,plain,
sF7 = addition(sF7,sF4),
inference(forward_demodulation,[],[f3061,f65]) ).
fof(f3106,plain,
sF7 = addition(sF4,sF7),
inference(superposition,[],[f32,f3094]) ).
fof(f3304,plain,
! [X0] : addition(X0,multiplication(X0,sK3)) = addition(multiplication(X0,c(sK3)),multiplication(X0,sK3)),
inference(superposition,[],[f944,f35]) ).
fof(f3344,plain,
addition(sK1,multiplication(sF4,sK3)) = addition(multiplication(sK1,c(sK3)),multiplication(sF5,sK3)),
inference(superposition,[],[f944,f61]) ).
fof(f3350,plain,
addition(sF4,multiplication(sK1,sK3)) = addition(multiplication(sF4,c(sK3)),multiplication(sF5,sK3)),
inference(superposition,[],[f944,f112]) ).
fof(f3352,plain,
addition(multiplication(sF4,c(sK3)),multiplication(sF5,sK3)) = addition(sF4,multiplication(sF5,sK3)),
inference(superposition,[],[f944,f301]) ).
fof(f3354,plain,
addition(sF5,multiplication(sK1,sK3)) = addition(multiplication(sF5,c(sK3)),multiplication(sF5,sK3)),
inference(superposition,[],[f944,f648]) ).
fof(f3363,plain,
addition(one,multiplication(sK2,sK3)) = addition(multiplication(one,c(sK3)),addition(sK3,sF4)),
inference(superposition,[],[f944,f715]) ).
fof(f3391,plain,
addition(one,multiplication(sK2,sK3)) = addition(multiplication(one,c(sK3)),sK3),
inference(forward_demodulation,[],[f3363,f3051]) ).
fof(f3400,plain,
addition(sF5,multiplication(sK1,sK3)) = multiplication(sF5,addition(c(sK3),sK3)),
inference(forward_demodulation,[],[f3354,f39]) ).
fof(f3402,plain,
addition(multiplication(sF4,c(sK3)),multiplication(sF5,sK3)) = multiplication(addition(sK2,sF5),sK3),
inference(forward_demodulation,[],[f3352,f114]) ).
fof(f3404,plain,
addition(sF4,multiplication(sK1,sK3)) = addition(zero,multiplication(sF5,sK3)),
inference(forward_demodulation,[],[f3350,f2087]) ).
fof(f3441,plain,
! [X0] : multiplication(X0,addition(c(sK3),sK3)) = addition(X0,multiplication(X0,sK3)),
inference(forward_demodulation,[],[f3304,f39]) ).
fof(f3450,plain,
addition(c(sK3),sK3) = addition(one,multiplication(sK2,sK3)),
inference(forward_demodulation,[],[f3391,f38]) ).
fof(f3459,plain,
multiplication(sF5,one) = addition(sF5,multiplication(sK1,sK3)),
inference(forward_demodulation,[],[f3400,f890]) ).
fof(f3461,plain,
multiplication(addition(sK2,sF5),sK3) = addition(zero,multiplication(sF5,sK3)),
inference(forward_demodulation,[],[f3402,f2087]) ).
fof(f3463,plain,
multiplication(sF5,sK3) = addition(sF4,multiplication(sK1,sK3)),
inference(forward_demodulation,[],[f3404,f349]) ).
fof(f3491,plain,
! [X0] : multiplication(X0,addition(c(sK3),sK3)) = multiplication(X0,addition(one,sK3)),
inference(forward_demodulation,[],[f3441,f333]) ).
fof(f3497,plain,
addition(c(sK3),sK3) = addition(one,sF4),
inference(forward_demodulation,[],[f3450,f59]) ).
fof(f3504,plain,
sF5 = addition(sF5,multiplication(sK1,sK3)),
inference(forward_demodulation,[],[f3459,f37]) ).
fof(f3506,plain,
multiplication(sF5,sK3) = multiplication(addition(sK2,sF5),sK3),
inference(forward_demodulation,[],[f3461,f349]) ).
fof(f3508,plain,
multiplication(sF5,sK3) = multiplication(addition(sK2,sK1),sK3),
inference(forward_demodulation,[],[f3463,f114]) ).
fof(f3528,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,addition(one,sK3)),
inference(forward_demodulation,[],[f3491,f890]) ).
fof(f3529,plain,
one = addition(one,sF4),
inference(forward_demodulation,[],[f3497,f890]) ).
fof(f3532,plain,
multiplication(sF5,sK3) = multiplication(sF6,sK3),
inference(forward_demodulation,[],[f3508,f1397]) ).
fof(f3546,plain,
! [X0] : multiplication(X0,addition(one,sK3)) = X0,
inference(forward_demodulation,[],[f3528,f37]) ).
fof(f3553,plain,
addition(sK1,one) = addition(sF5,one),
inference(superposition,[],[f597,f3529]) ).
fof(f3562,plain,
one = addition(one,addition(sF4,one)),
inference(superposition,[],[f178,f3529]) ).
fof(f3564,plain,
! [X0,X1] : addition(multiplication(X0,one),multiplication(addition(X0,X1),sF4)) = addition(multiplication(X0,one),multiplication(X1,sF4)),
inference(superposition,[],[f380,f3529]) ).
fof(f3573,plain,
! [X0,X1] : addition(X0,multiplication(addition(X0,X1),sF4)) = addition(X0,multiplication(X1,sF4)),
inference(forward_demodulation,[],[f3564,f37]) ).
fof(f3574,plain,
one = addition(sF4,one),
inference(forward_demodulation,[],[f3562,f287]) ).
fof(f3587,plain,
addition(sK1,one) = addition(sF4,one),
inference(forward_demodulation,[],[f3553,f2929]) ).
fof(f3593,plain,
one = addition(sK1,one),
inference(forward_demodulation,[],[f3587,f3574]) ).
fof(f3597,plain,
one = addition(sF6,one),
inference(forward_demodulation,[],[f3593,f3028]) ).
fof(f3601,plain,
one = addition(one,sF6),
inference(superposition,[],[f32,f3597]) ).
fof(f3647,plain,
! [X0] : multiplication(addition(sF5,X0),sK3) = addition(multiplication(sF6,sK3),multiplication(X0,sK3)),
inference(superposition,[],[f40,f3532]) ).
fof(f3654,plain,
multiplication(sF5,addition(one,sK3)) = addition(sF5,multiplication(sF6,sK3)),
inference(superposition,[],[f333,f3532]) ).
fof(f3657,plain,
sF5 = addition(sF5,multiplication(sF6,sK3)),
inference(forward_demodulation,[],[f3654,f3546]) ).
fof(f3677,plain,
! [X0] : multiplication(addition(sF6,X0),sK3) = multiplication(addition(sF5,X0),sK3),
inference(forward_demodulation,[],[f3647,f40]) ).
fof(f3698,plain,
addition(multiplication(one,c(sK3)),multiplication(one,sK3)) = addition(one,multiplication(sF6,sK3)),
inference(superposition,[],[f944,f3601]) ).
fof(f3701,plain,
multiplication(one,addition(c(sK3),sK3)) = addition(one,multiplication(sF6,sK3)),
inference(forward_demodulation,[],[f3698,f39]) ).
fof(f3709,plain,
addition(c(sK3),sK3) = addition(one,multiplication(sF6,sK3)),
inference(forward_demodulation,[],[f3701,f38]) ).
fof(f3714,plain,
one = addition(one,multiplication(sF6,sK3)),
inference(forward_demodulation,[],[f3709,f890]) ).
fof(f3804,plain,
addition(one,multiplication(one,sF4)) = addition(one,multiplication(sF4,sF4)),
inference(superposition,[],[f3573,f3529]) ).
fof(f3817,plain,
addition(sK1,multiplication(sK2,sF4)) = addition(sK1,multiplication(sF6,sF4)),
inference(superposition,[],[f3573,f63]) ).
fof(f3820,plain,
addition(sK3,multiplication(sF4,sF4)) = addition(sK3,multiplication(sK3,sF4)),
inference(superposition,[],[f3573,f3051]) ).
fof(f3903,plain,
addition(sK3,multiplication(sF4,sF4)) = multiplication(sK3,addition(one,sF4)),
inference(forward_demodulation,[],[f3820,f333]) ).
fof(f3911,plain,
addition(one,multiplication(sF4,sF4)) = multiplication(one,addition(one,sF4)),
inference(forward_demodulation,[],[f3804,f333]) ).
fof(f3955,plain,
multiplication(sK3,one) = addition(sK3,multiplication(sF4,sF4)),
inference(forward_demodulation,[],[f3903,f3529]) ).
fof(f3959,plain,
addition(one,sF4) = addition(one,multiplication(sF4,sF4)),
inference(forward_demodulation,[],[f3911,f38]) ).
fof(f3989,plain,
sK3 = addition(sK3,multiplication(sF4,sF4)),
inference(forward_demodulation,[],[f3955,f37]) ).
fof(f3993,plain,
one = addition(one,multiplication(sF4,sF4)),
inference(forward_demodulation,[],[f3959,f3529]) ).
fof(f4566,plain,
addition(multiplication(sK3,c(sK3)),multiplication(sK3,sK3)) = addition(sK3,multiplication(multiplication(sF4,sF4),sK3)),
inference(superposition,[],[f944,f3989]) ).
fof(f4573,plain,
addition(multiplication(sK3,c(sK3)),multiplication(sK3,sK3)) = multiplication(addition(one,multiplication(sF4,sF4)),sK3),
inference(forward_demodulation,[],[f4566,f230]) ).
fof(f4592,plain,
multiplication(one,sK3) = addition(multiplication(sK3,c(sK3)),multiplication(sK3,sK3)),
inference(forward_demodulation,[],[f4573,f3993]) ).
fof(f4598,plain,
multiplication(one,sK3) = multiplication(sK3,addition(c(sK3),sK3)),
inference(forward_demodulation,[],[f4592,f39]) ).
fof(f4602,plain,
multiplication(one,sK3) = multiplication(sK3,sK3),
inference(forward_demodulation,[],[f4598,f2085]) ).
fof(f4605,plain,
sK3 = multiplication(sK3,sK3),
inference(forward_demodulation,[],[f4602,f38]) ).
fof(f4606,plain,
multiplication(sK2,sK3) = multiplication(sF4,sK3),
inference(superposition,[],[f258,f4605]) ).
fof(f4634,plain,
sF4 = multiplication(sF4,sK3),
inference(forward_demodulation,[],[f4606,f59]) ).
fof(f4708,plain,
addition(sF5,multiplication(sF5,sK3)) = addition(sK1,multiplication(sF5,sK3)),
inference(superposition,[],[f593,f3506]) ).
fof(f4748,plain,
addition(sF5,multiplication(sF6,sK3)) = addition(sK1,multiplication(sF6,sK3)),
inference(forward_demodulation,[],[f4708,f3532]) ).
fof(f4771,plain,
sF5 = addition(sK1,multiplication(sF6,sK3)),
inference(forward_demodulation,[],[f4748,f3657]) ).
fof(f5021,plain,
addition(multiplication(sK1,c(sK1)),multiplication(sF5,sK1)) = addition(sK1,multiplication(multiplication(sF6,sK3),sK1)),
inference(superposition,[],[f902,f4771]) ).
fof(f5030,plain,
addition(multiplication(sK1,c(sK1)),multiplication(sF5,sK1)) = multiplication(addition(one,multiplication(sF6,sK3)),sK1),
inference(forward_demodulation,[],[f5021,f230]) ).
fof(f5038,plain,
multiplication(one,sK1) = addition(multiplication(sK1,c(sK1)),multiplication(sF5,sK1)),
inference(forward_demodulation,[],[f5030,f3714]) ).
fof(f5042,plain,
multiplication(one,sK1) = addition(zero,multiplication(sF5,sK1)),
inference(forward_demodulation,[],[f5038,f806]) ).
fof(f5044,plain,
multiplication(one,sK1) = multiplication(sF5,sK1),
inference(forward_demodulation,[],[f5042,f349]) ).
fof(f5046,plain,
sK1 = multiplication(sF5,sK1),
inference(forward_demodulation,[],[f5044,f38]) ).
fof(f5048,plain,
! [X0] : multiplication(sF5,addition(sK1,X0)) = addition(sK1,multiplication(sF5,X0)),
inference(superposition,[],[f39,f5046]) ).
fof(f5432,plain,
addition(multiplication(sK1,c(sK3)),multiplication(sF5,sK3)) = addition(sK1,multiplication(sF5,sK3)),
inference(superposition,[],[f944,f300]) ).
fof(f5438,plain,
addition(multiplication(sK1,c(sK3)),multiplication(sF5,sK3)) = multiplication(sF5,addition(sK1,sK3)),
inference(forward_demodulation,[],[f5432,f5048]) ).
fof(f5445,plain,
addition(multiplication(sK1,c(sK3)),multiplication(sF5,sK3)) = multiplication(sF5,sF7),
inference(forward_demodulation,[],[f5438,f65]) ).
fof(f5448,plain,
addition(sK1,multiplication(sF4,sK3)) = multiplication(sF5,sF7),
inference(forward_demodulation,[],[f5445,f3344]) ).
fof(f5451,plain,
addition(sK1,sF4) = multiplication(sF5,sF7),
inference(forward_demodulation,[],[f5448,f4634]) ).
fof(f5453,plain,
sF5 = multiplication(sF5,sF7),
inference(forward_demodulation,[],[f5451,f61]) ).
fof(f5596,plain,
multiplication(one,sK1) = multiplication(sF6,sK1),
inference(superposition,[],[f2826,f2981]) ).
fof(f5600,plain,
! [X0] : multiplication(addition(one,sK2),multiplication(sK1,X0)) = multiplication(multiplication(sF6,sK1),X0),
inference(superposition,[],[f36,f2826]) ).
fof(f5629,plain,
! [X0] : multiplication(addition(one,sK2),multiplication(sK1,X0)) = multiplication(sF6,multiplication(sK1,X0)),
inference(forward_demodulation,[],[f5600,f36]) ).
fof(f5633,plain,
sK1 = multiplication(sF6,sK1),
inference(forward_demodulation,[],[f5596,f38]) ).
fof(f5647,plain,
! [X0] : multiplication(sF6,multiplication(sK1,X0)) = multiplication(one,multiplication(sK1,X0)),
inference(forward_demodulation,[],[f5629,f2981]) ).
fof(f5666,plain,
! [X0] : multiplication(sK1,X0) = multiplication(sF6,multiplication(sK1,X0)),
inference(forward_demodulation,[],[f5647,f38]) ).
fof(f5684,plain,
multiplication(sF6,addition(sF7,sK1)) = addition(sF8,sK1),
inference(superposition,[],[f138,f5633]) ).
fof(f5686,plain,
! [X0] : multiplication(sF6,addition(sK1,X0)) = addition(sK1,multiplication(sF6,X0)),
inference(superposition,[],[f39,f5633]) ).
fof(f5706,plain,
multiplication(sF6,sF7) = addition(sF8,sK1),
inference(forward_demodulation,[],[f5684,f317]) ).
fof(f5710,plain,
sF8 = addition(sF8,sK1),
inference(forward_demodulation,[],[f5706,f67]) ).
fof(f5715,plain,
addition(sF5,sF8) = addition(sF4,sF8),
inference(superposition,[],[f774,f5710]) ).
fof(f5846,plain,
! [X0] : multiplication(sF6,addition(sF7,multiplication(sK1,X0))) = addition(sF8,multiplication(sK1,X0)),
inference(superposition,[],[f138,f5666]) ).
fof(f5849,plain,
! [X0,X1] : multiplication(sF6,addition(X1,multiplication(sK1,X0))) = addition(multiplication(sF6,X1),multiplication(sK1,X0)),
inference(superposition,[],[f39,f5666]) ).
fof(f5874,plain,
( sF8 != addition(sF4,sF8)
| leq(sF5,sF8) ),
inference(superposition,[],[f43,f5715]) ).
fof(f5894,definition,
( spl9_114
<=> sF8 = addition(sF4,sF8) ),
introduced(definition,[new_symbols(definition,[spl9_114])],[avatar_definition]) ).
fof(f5896,plain,
( sF8 != addition(sF4,sF8)
| spl9_114 ),
inference(avatar_component_clause,[],[f5894]) ).
fof(f5897,plain,
( spl9_2
| ~ spl9_114 ),
inference(avatar_split_clause,[],[f5874,f5894,f74]) ).
fof(f9554,plain,
zero = multiplication(c(sK2),sF4),
inference(superposition,[],[f2179,f59]) ).
fof(f9597,plain,
! [X0] : addition(zero,multiplication(X0,sF4)) = multiplication(addition(c(sK2),X0),sF4),
inference(superposition,[],[f40,f9554]) ).
fof(f9630,plain,
! [X0] : multiplication(X0,sF4) = multiplication(addition(c(sK2),X0),sF4),
inference(forward_demodulation,[],[f9597,f349]) ).
fof(f9638,plain,
multiplication(sK2,sF4) = multiplication(one,sF4),
inference(superposition,[],[f9630,f891]) ).
fof(f9682,plain,
sF4 = multiplication(sK2,sF4),
inference(forward_demodulation,[],[f9638,f38]) ).
fof(f9698,plain,
addition(sK1,sF4) = addition(sK1,multiplication(sF6,sF4)),
inference(superposition,[],[f3817,f9682]) ).
fof(f9728,plain,
addition(sK1,sF4) = multiplication(sF6,addition(sK1,sF4)),
inference(forward_demodulation,[],[f9698,f5686]) ).
fof(f9735,plain,
sF5 = multiplication(sF6,sF5),
inference(forward_demodulation,[],[f9728,f61]) ).
fof(f9739,plain,
addition(sF5,sF8) = multiplication(sF6,addition(sF5,sF7)),
inference(superposition,[],[f140,f9735]) ).
fof(f9761,plain,
addition(sF5,sF8) = multiplication(sF6,addition(sF4,sF7)),
inference(forward_demodulation,[],[f9739,f2335]) ).
fof(f9778,plain,
multiplication(sF6,sF7) = addition(sF5,sF8),
inference(forward_demodulation,[],[f9761,f3106]) ).
fof(f9780,plain,
multiplication(sF6,sF7) = addition(sF4,sF8),
inference(forward_demodulation,[],[f9778,f5715]) ).
fof(f9782,plain,
sF8 = addition(sF4,sF8),
inference(forward_demodulation,[],[f9780,f67]) ).
fof(f9783,plain,
( $false
| spl9_114 ),
inference(forward_subsumption_resolution,[],[f9782,f5896]) ).
fof(f9784,plain,
spl9_114,
inference(avatar_contradiction_clause,[],[f9783]) ).
fof(f10890,plain,
! [X0] : addition(multiplication(sF5,sF7),multiplication(X0,sK3)) = addition(sK1,multiplication(addition(sF5,X0),sK3)),
inference(superposition,[],[f450,f5046]) ).
fof(f10891,plain,
! [X0] : addition(multiplication(sF6,sF7),multiplication(X0,sK3)) = addition(sK1,multiplication(addition(sF6,X0),sK3)),
inference(superposition,[],[f450,f5633]) ).
fof(f11012,plain,
addition(multiplication(sF6,sK1),multiplication(sF6,sK3)) = addition(multiplication(sF6,sF7),multiplication(sK1,sK3)),
inference(superposition,[],[f450,f318]) ).
fof(f11095,plain,
addition(multiplication(sF6,sK1),multiplication(sF6,sK3)) = multiplication(sF6,addition(sF7,multiplication(sK1,sK3))),
inference(forward_demodulation,[],[f11012,f5849]) ).
fof(f11209,plain,
! [X0] : addition(sK1,multiplication(addition(sF6,X0),sK3)) = addition(sF8,multiplication(X0,sK3)),
inference(forward_demodulation,[],[f10891,f67]) ).
fof(f11210,plain,
! [X0] : addition(multiplication(sF5,sF7),multiplication(X0,sK3)) = addition(sK1,multiplication(addition(sF6,X0),sK3)),
inference(forward_demodulation,[],[f10890,f3677]) ).
fof(f11248,plain,
addition(sF8,multiplication(sK1,sK3)) = addition(multiplication(sF6,sK1),multiplication(sF6,sK3)),
inference(forward_demodulation,[],[f11095,f5846]) ).
fof(f11356,plain,
! [X0] : addition(multiplication(sF5,sF7),multiplication(X0,sK3)) = addition(sF8,multiplication(X0,sK3)),
inference(forward_demodulation,[],[f11210,f11209]) ).
fof(f11387,plain,
addition(sF8,multiplication(sK1,sK3)) = multiplication(sF6,addition(sK1,sK3)),
inference(forward_demodulation,[],[f11248,f39]) ).
fof(f11479,plain,
! [X0] : addition(sF5,multiplication(X0,sK3)) = addition(sF8,multiplication(X0,sK3)),
inference(forward_demodulation,[],[f11356,f5453]) ).
fof(f11507,plain,
multiplication(sF6,sF7) = addition(sF8,multiplication(sK1,sK3)),
inference(forward_demodulation,[],[f11387,f65]) ).
fof(f11610,plain,
multiplication(sF6,sF7) = addition(sF5,multiplication(sK1,sK3)),
inference(forward_demodulation,[],[f11507,f11479]) ).
fof(f11692,plain,
sF5 = multiplication(sF6,sF7),
inference(forward_demodulation,[],[f11610,f3504]) ).
fof(f11742,plain,
sF5 = sF8,
inference(forward_demodulation,[],[f11692,f67]) ).
fof(f11837,plain,
( ~ leq(sF5,sF5)
| spl9_1 ),
inference(superposition,[],[f72,f11742]) ).
fof(f11881,plain,
( $false
| spl9_1 ),
inference(forward_subsumption_resolution,[],[f11837,f181]) ).
fof(f11882,plain,
spl9_1,
inference(avatar_contradiction_clause,[],[f11881]) ).
cnf(s1,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(sat_conversion,[],[f77]) ).
cnf(s51,plain,
( spl9_2
| ~ spl9_114 ),
inference(sat_conversion,[],[f5897]) ).
cnf(s86,plain,
spl9_114,
inference(sat_conversion,[],[f9784]) ).
cnf(s94,plain,
spl9_1,
inference(sat_conversion,[],[f11882]) ).
cnf(s99,plain,
spl9_2,
inference(rat,[],[s51,s86]) ).
cnf(s101,plain,
$false,
inference(rat,[],[s1,s99,s94]) ).
fof(f11886,plain,
$false,
inference(avatar_sat_refutation,[],[s101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE020+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 % Computer : n003.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 13:00:41 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 10.20/2.30 % (516429)Detected formulas, will run a generic FOF schedule.
% 10.20/2.30 % (516436)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=1205641865:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.20/2.30 % (516434)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=895895078:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.20/2.30 % (516435)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=540779153:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.20/2.30 % (516439)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=666179032:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.20/2.30 % (516437)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3992660364:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.20/2.30 % (516438)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2518407940:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.20/2.30 % (516440)dis-21_1_sil=8000:lcm=predicate:random_seed=3305670743: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)
% 10.20/2.30 % (516437)Refutation not found, incomplete strategy
% 10.20/2.30 % (516437)------------------------------
% 10.20/2.30 % (516437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/2.30 % (516437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/2.30 % (516437)CaDiCaL version: 2.1.3
% 10.20/2.30 % (516437)Termination reason: Refutation not found, incomplete strategy
% 10.20/2.30 % (516437)Time elapsed: 0.002 s
% 10.20/2.30 % (516437)Peak memory usage: 88 MB
% 10.20/2.30 % (516437)Instructions burned: 1 (million)
% 10.20/2.30 % (516440)Refutation not found, incomplete strategy
% 10.20/2.30 % (516440)------------------------------
% 10.20/2.30 % (516440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/2.30 % (516440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/2.30 % (516440)CaDiCaL version: 2.1.3
% 10.20/2.30 % (516440)Termination reason: Refutation not found, incomplete strategy
% 10.20/2.30 % (516440)Time elapsed: 0.002 s
% 10.20/2.30 % (516440)Peak memory usage: 88 MB
% 10.20/2.30 % (516440)Instructions burned: 2 (million)
% 10.20/2.30 % (516438)Instruction limit reached!
% 10.20/2.30 % (516438)------------------------------
% 10.20/2.30 % (516438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/2.30 % (516438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/2.30 % (516438)CaDiCaL version: 2.1.3
% 10.20/2.30 % (516438)Termination reason: Instruction limit
% 10.20/2.30 % (516438)Termination phase: Saturation
% 10.20/2.30 % (516438)Time elapsed: 0.064 s
% 10.20/2.30 % (516438)Peak memory usage: 88 MB
% 10.20/2.30 % (516438)Instructions burned: 121 (million)
% 10.20/2.30 % (516439)Instruction limit reached!
% 10.20/2.30 % (516439)------------------------------
% 10.20/2.30 % (516439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/2.30 % (516439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/2.30 % (516439)CaDiCaL version: 2.1.3
% 10.20/2.30 % (516439)Termination reason: Instruction limit
% 10.20/2.30 % (516439)Termination phase: Saturation
% 10.20/2.30 % (516439)Time elapsed: 0.078 s
% 10.20/2.30 % (516439)Peak memory usage: 90 MB
% 10.20/2.30 % (516439)Instructions burned: 140 (million)
% 10.20/2.30 % (516448)lrs+10_1_sil=8000:sp=occurrence:random_seed=1911028941:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.20/2.30 % (516437)------------------------------
% 10.20/2.30 % (516437)------------------------------
% 10.20/2.30 % (516440)------------------------------
% 10.20/2.30 % (516440)------------------------------
% 10.20/2.30 % (516449)lrs+10_1_sil=32000:urr=on:br=off:random_seed=505053407:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.20/2.30 % (516436)Refutation not found, incomplete strategy
% 10.20/2.30 % (516436)------------------------------
% 10.20/2.30 % (516436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/2.30 % (516436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516436)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516436)Termination reason: Refutation not found, incomplete strategy
% 13.12/2.88 % (516436)Time elapsed: 0.366 s
% 13.12/2.88 % (516436)Peak memory usage: 127 MB
% 13.12/2.88 % (516436)Instructions burned: 896 (million)
% 13.12/2.88 % (516449)Instruction limit reached!
% 13.12/2.88 % (516449)------------------------------
% 13.12/2.88 % (516449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516449)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516449)Termination reason: Instruction limit
% 13.12/2.88 % (516449)Termination phase: Saturation
% 13.12/2.88 % (516449)Time elapsed: 0.091 s
% 13.12/2.88 % (516449)Peak memory usage: 90 MB
% 13.12/2.88 % (516449)Instructions burned: 158 (million)
% 13.12/2.88 % (516448)Instruction limit reached!
% 13.12/2.88 % (516448)------------------------------
% 13.12/2.88 % (516448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516448)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516448)Termination reason: Instruction limit
% 13.12/2.88 % (516448)Termination phase: Saturation
% 13.12/2.88 % (516448)Time elapsed: 0.178 s
% 13.12/2.88 % (516448)Peak memory usage: 91 MB
% 13.12/2.88 % (516448)Instructions burned: 286 (million)
% 13.12/2.88 % (516453)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=3670785210:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 13.12/2.88 % (516452)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2047574697:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 13.12/2.88 % (516436)------------------------------
% 13.12/2.88 % (516436)------------------------------
% 13.12/2.88 % (516454)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=935401709:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 13.12/2.88 % (516455)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3141879159:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 13.12/2.88 % (516453)Instruction limit reached!
% 13.12/2.88 % (516453)------------------------------
% 13.12/2.88 % (516453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516453)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516453)Termination reason: Instruction limit
% 13.12/2.88 % (516453)Termination phase: Saturation
% 13.12/2.88 % (516453)Time elapsed: 0.155 s
% 13.12/2.88 % (516453)Peak memory usage: 91 MB
% 13.12/2.88 % (516453)Instructions burned: 250 (million)
% 13.12/2.88 % (516452)Instruction limit reached!
% 13.12/2.88 % (516452)------------------------------
% 13.12/2.88 % (516452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516452)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516452)Termination reason: Instruction limit
% 13.12/2.88 % (516452)Termination phase: Saturation
% 13.12/2.88 % (516452)Time elapsed: 0.192 s
% 13.12/2.88 % (516452)Peak memory usage: 91 MB
% 13.12/2.88 % (516452)Instructions burned: 325 (million)
% 13.12/2.88 % (516459)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=580668408:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 13.12/2.88 % (516454)Instruction limit reached!
% 13.12/2.88 % (516454)------------------------------
% 13.12/2.88 % (516454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516454)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516454)Termination reason: Instruction limit
% 13.12/2.88 % (516454)Termination phase: Saturation
% 13.12/2.88 % (516454)Time elapsed: 0.127 s
% 13.12/2.88 % (516454)Peak memory usage: 89 MB
% 13.12/2.88 % (516454)Instructions burned: 295 (million)
% 13.12/2.88 % (516459)Instruction limit reached!
% 13.12/2.88 % (516459)------------------------------
% 13.12/2.88 % (516459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516459)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516459)Termination reason: Instruction limit
% 13.12/2.88 % (516459)Termination phase: Saturation
% 13.12/2.88 % (516459)Time elapsed: 0.043 s
% 13.12/2.88 % (516459)Peak memory usage: 90 MB
% 13.12/2.88 % (516459)Instructions burned: 116 (million)
% 13.12/2.88 % (516462)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4246978100:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 13.12/2.88 % (516464)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2421096187:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 13.12/2.88 % (516464)Refutation not found, incomplete strategy
% 13.12/2.88 % (516464)------------------------------
% 13.12/2.88 % (516464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516464)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516464)Termination reason: Refutation not found, incomplete strategy
% 13.12/2.88 % (516464)Time elapsed: 0.002 s
% 13.12/2.88 % (516464)Peak memory usage: 89 MB
% 13.12/2.88 % (516464)Instructions burned: 1 (million)
% 13.12/2.88 % (516465)lrs+10_1_sil=8000:sp=occurrence:random_seed=142450559:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 13.12/2.88 % (516466)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=146089929:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 13.12/2.88 % (516466)Refutation not found, incomplete strategy
% 13.12/2.88 % (516466)------------------------------
% 13.12/2.88 % (516466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516466)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516466)Termination reason: Refutation not found, incomplete strategy
% 13.12/2.88 % (516466)Time elapsed: 0.001 s
% 13.12/2.88 % (516466)Peak memory usage: 88 MB
% 13.12/2.88 % (516462)Instruction limit reached!
% 13.12/2.88 % (516462)------------------------------
% 13.12/2.88 % (516462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516462)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516462)Termination reason: Instruction limit
% 13.12/2.88 % (516462)Termination phase: Saturation
% 13.12/2.88 % (516462)Time elapsed: 0.065 s
% 13.12/2.88 % (516462)Peak memory usage: 89 MB
% 13.12/2.88 % (516462)Instructions burned: 129 (million)
% 13.12/2.88 % (516466)------------------------------
% 13.12/2.88 % (516466)------------------------------
% 13.12/2.88 % (516471)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2447270804:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 13.12/2.88 % (516464)------------------------------
% 13.12/2.88 % (516464)------------------------------
% 13.12/2.88 % (516472)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=742265823:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 13.12/2.88 % (516472)Refutation not found, incomplete strategy
% 13.12/2.88 % (516472)------------------------------
% 13.12/2.88 % (516472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516472)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516472)Termination reason: Refutation not found, incomplete strategy
% 13.12/2.88 % (516472)Time elapsed: 0.001 s
% 13.12/2.88 % (516472)Peak memory usage: 89 MB
% 13.12/2.88 % (516472)Instructions burned: 1 (million)
% 13.12/2.88 % (516474)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1820396676:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 13.12/2.88 % (516474)Refutation not found, incomplete strategy
% 13.12/2.88 % (516474)------------------------------
% 13.12/2.88 % (516474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516474)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516474)Termination reason: Refutation not found, incomplete strategy
% 13.12/2.88 % (516474)Time elapsed: 0.002 s
% 13.12/2.88 % (516474)Peak memory usage: 88 MB
% 13.12/2.88 % (516474)Instructions burned: 1 (million)
% 13.12/2.88 % (516472)------------------------------
% 13.12/2.88 % (516472)------------------------------
% 13.12/2.88 % (516465)Instruction limit reached!
% 13.12/2.88 % (516465)------------------------------
% 13.12/2.88 % (516465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516465)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516465)Termination reason: Instruction limit
% 13.12/2.88 % (516465)Termination phase: Saturation
% 13.12/2.88 % (516465)Time elapsed: 0.511 s
% 13.12/2.88 % (516465)Peak memory usage: 94 MB
% 13.12/2.88 % (516465)Instructions burned: 908 (million)
% 13.12/2.88 % (516477)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1135364140:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 13.12/2.88 % (516474)------------------------------
% 13.12/2.88 % (516474)------------------------------
% 13.12/2.88 % (516478)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=3762821438:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 13.12/2.88 % (516478)Instruction limit reached!
% 13.12/2.88 % (516478)------------------------------
% 13.12/2.88 % (516478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516478)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516478)Termination reason: Instruction limit
% 13.12/2.88 % (516478)Termination phase: Saturation
% 13.12/2.88 % (516478)Time elapsed: 0.082 s
% 13.12/2.88 % (516478)Peak memory usage: 90 MB
% 13.12/2.88 % (516478)Instructions burned: 125 (million)
% 13.12/2.88 % (516480)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2389015872:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 13.12/2.88 % (516434)First to succeed.
% 13.12/2.88 % (516434)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-516429"
% 13.12/2.88 % (516480)Instruction limit reached!
% 13.12/2.88 % (516480)------------------------------
% 13.12/2.88 % (516480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516480)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516480)Termination reason: Instruction limit
% 13.12/2.88 % (516480)Termination phase: Saturation
% 13.12/2.88 % (516480)Time elapsed: 0.080 s
% 13.12/2.88 % (516480)Peak memory usage: 90 MB
% 13.12/2.88 % (516480)Instructions burned: 136 (million)
% 13.12/2.88 % (516482)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1931479867:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/141Mi)
% 13.12/2.88 % (516482)Refutation not found, incomplete strategy
% 13.12/2.88 % (516482)------------------------------
% 13.12/2.88 % (516482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516482)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516482)Termination reason: Refutation not found, incomplete strategy
% 13.12/2.88 % (516482)Time elapsed: 0.001 s
% 13.12/2.88 % (516482)Peak memory usage: 88 MB
% 13.12/2.88 % (516484)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2177957714:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 13.12/2.88 % (516484)Refutation not found, incomplete strategy
% 13.12/2.88 % (516484)------------------------------
% 13.12/2.88 % (516484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/2.88 % (516484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/2.88 % (516484)CaDiCaL version: 2.1.3
% 13.12/2.88 % (516484)Termination reason: Refutation not found, incomplete strategy
% 13.12/2.88 % (516484)Time elapsed: 0.002 s
% 13.12/2.88 % (516484)Peak memory usage: 88 MB
% 13.12/2.88 % (516484)Instructions burned: 1 (million)
% 13.12/2.88 % (516434)Refutation found. Thanks to Tanya!
% 13.12/2.88 % SZS status Theorem for theBenchmark
% 13.12/2.88 % SZS output start Proof for theBenchmark
% See solution above
% 14.80/3.07 % (516434)------------------------------
% 14.80/3.07 % (516434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.07 % (516434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.07 % (516434)CaDiCaL version: 2.1.3
% 14.80/3.07 % (516434)Termination reason: Refutation
% 14.80/3.07 % (516434)Time elapsed: 1.588 s
% 14.80/3.07 % (516434)Peak memory usage: 144 MB
% 14.80/3.07 % (516434)Instructions burned: 2500 (million)
% 14.80/3.07 % (516434)------------------------------
% 14.80/3.07 % (516434)------------------------------
% 14.80/3.07 % (516429)Success in time 2.01 s
% 14.80/3.07 % Vampire exiting
%------------------------------------------------------------------------------