%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE020+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 9.94s 2.62s
% Output : Refutation 13.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 20
% Syntax : Number of formulae : 356 ( 215 unt; 7 def)
% Number of atoms : 622 ( 353 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 509 ( 243 ~; 236 |; 22 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 169 ( 0 sgn 163 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_3) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( ( test(X0)
& test(X1)
& test(X2) )
=> addition(X0,multiplication(X1,X2)) = multiplication(addition(X0,X1),addition(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( ( test(X0)
& test(X1)
& test(X2) )
=> addition(X0,multiplication(X1,X2)) = multiplication(addition(X0,X1),addition(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0,X1,X2] :
( addition(X0,multiplication(X1,X2)) != multiplication(addition(X0,X1),addition(X0,X2))
& test(X0)
& test(X1)
& test(X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1,X2] :
( addition(X0,multiplication(X1,X2)) != multiplication(addition(X0,X1),addition(X0,X2))
& test(X0)
& test(X1)
& test(X2) ),
inference(flattening,[],[f21]) ).
fof(f26,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(f27,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f29,plain,
( addition(sK1,multiplication(sK2,sK3)) != multiplication(addition(sK1,sK2),addition(sK1,sK3))
& test(sK1)
& test(sK2)
& test(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f22]) ).
fof(f30,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f31,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f35,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f36,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f37,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f39,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f43,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f27]) ).
fof(f44,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f45,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
test(sK3),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
test(sK2),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
test(sK1),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
addition(sK1,multiplication(sK2,sK3)) != multiplication(addition(sK1,sK2),addition(sK1,sK3)),
inference(cnf_transformation,[],[f29]) ).
fof(f54,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f47]) ).
fof(f55,definition,
sF4 = multiplication(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f56,plain,
multiplication(sK2,sK3) = sF4,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF5 = addition(sK1,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f58,plain,
addition(sK1,sF4) = sF5,
inference(reorient_equations,[],[f57]) ).
fof(f59,definition,
sF6 = addition(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f60,plain,
addition(sK1,sK2) = sF6,
inference(reorient_equations,[],[f59]) ).
fof(f61,definition,
sF7 = addition(sK1,sK3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f62,plain,
addition(sK1,sK3) = sF7,
inference(reorient_equations,[],[f61]) ).
fof(f63,definition,
sF8 = multiplication(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f64,plain,
multiplication(sF6,sF7) = sF8,
inference(reorient_equations,[],[f63]) ).
fof(f65,plain,
sF5 != sF8,
inference(definition_folding,[],[f53,f64,f62,f60,f58,f56]) ).
fof(f69,plain,
sF5 = addition(sF4,sK1),
inference(superposition,[],[f58,f30]) ).
fof(f70,plain,
! [X0] : multiplication(addition(sK2,X0),sK3) = addition(sF4,multiplication(X0,sK3)),
inference(superposition,[],[f38,f56]) ).
fof(f86,plain,
! [X0] : addition(sF6,X0) = addition(sK1,addition(sK2,X0)),
inference(superposition,[],[f31,f60]) ).
fof(f87,plain,
! [X0] : addition(sK1,addition(sK3,X0)) = addition(sF7,X0),
inference(superposition,[],[f31,f62]) ).
fof(f88,plain,
! [X0] : addition(sK1,addition(sF4,X0)) = addition(sF5,X0),
inference(superposition,[],[f31,f58]) ).
fof(f92,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f30,f31]) ).
fof(f97,plain,
! [X0] : addition(sF5,X0) = addition(sF4,addition(sK1,X0)),
inference(superposition,[],[f31,f69]) ).
fof(f103,plain,
! [X0] : multiplication(sF6,addition(sF7,X0)) = addition(sF8,multiplication(sF6,X0)),
inference(superposition,[],[f37,f64]) ).
fof(f105,plain,
! [X0] : multiplication(sF6,addition(X0,sF7)) = addition(multiplication(sF6,X0),sF8),
inference(superposition,[],[f37,f64]) ).
fof(f110,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f31,f37]) ).
fof(f119,plain,
! [X0] :
( ~ test(X0)
| one = addition(c(X0),X0) ),
inference(resolution,[],[f54,f43]) ).
fof(f123,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f38,f36]) ).
fof(f128,plain,
! [X0] : addition(sF7,X0) = addition(sK1,addition(X0,sK3)),
inference(superposition,[],[f87,f30]) ).
fof(f141,plain,
! [X0] : multiplication(sK2,multiplication(sK3,X0)) = multiplication(sF4,X0),
inference(superposition,[],[f34,f56]) ).
fof(f142,plain,
! [X0] : multiplication(sF6,multiplication(sF7,X0)) = multiplication(sF8,X0),
inference(superposition,[],[f34,f64]) ).
fof(f159,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f31,f33]) ).
fof(f161,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f31,f33]) ).
fof(f164,plain,
addition(sK1,sK3) = addition(sF7,sK3),
inference(superposition,[],[f87,f33]) ).
fof(f165,plain,
sF7 = addition(sF7,sK3),
inference(forward_demodulation,[],[f164,f62]) ).
fof(f180,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f37,f35]) ).
fof(f181,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f37,f35]) ).
fof(f194,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f30,f32]) ).
fof(f207,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,addition(X0,X1)),
inference(superposition,[],[f159,f30]) ).
fof(f217,plain,
sF7 = addition(sK1,sF7),
inference(superposition,[],[f159,f62]) ).
fof(f218,plain,
sF5 = addition(sK1,sF5),
inference(superposition,[],[f159,f58]) ).
fof(f219,plain,
sF5 = addition(sF4,sF5),
inference(superposition,[],[f159,f69]) ).
fof(f225,plain,
addition(sK1,sK3) = addition(sF7,sK1),
inference(superposition,[],[f128,f159]) ).
fof(f228,plain,
sF7 = addition(sF7,sK1),
inference(forward_demodulation,[],[f225,f62]) ).
fof(f241,plain,
! [X0] : addition(sF6,X0) = addition(sK1,addition(X0,sK2)),
inference(superposition,[],[f86,f30]) ).
fof(f242,plain,
! [X0] : addition(sK1,addition(sK2,X0)) = addition(sF6,addition(sK2,X0)),
inference(superposition,[],[f86,f159]) ).
fof(f245,plain,
addition(sF7,sK2) = addition(sF6,sK3),
inference(superposition,[],[f128,f86]) ).
fof(f250,plain,
! [X0] : addition(sF6,X0) = addition(sF6,addition(sK2,X0)),
inference(forward_demodulation,[],[f242,f86]) ).
fof(f262,plain,
addition(sK1,sK2) = addition(sF6,sK1),
inference(superposition,[],[f159,f241]) ).
fof(f266,plain,
sF6 = addition(sF6,sK1),
inference(forward_demodulation,[],[f262,f60]) ).
fof(f297,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,[],[f110,f38]) ).
fof(f383,plain,
! [X0,X1] : addition(multiplication(X0,sK1),multiplication(addition(X0,X1),sK2)) = addition(multiplication(X0,sF6),multiplication(X1,sK2)),
inference(superposition,[],[f297,f60]) ).
fof(f384,plain,
! [X0,X1] : addition(multiplication(X0,sK1),multiplication(addition(X0,X1),sK3)) = addition(multiplication(X0,sF7),multiplication(X1,sK3)),
inference(superposition,[],[f297,f62]) ).
fof(f558,plain,
multiplication(addition(one,sK2),sK3) = addition(sK3,sF4),
inference(superposition,[],[f123,f56]) ).
fof(f590,plain,
! [X0] : addition(sF5,multiplication(X0,sK3)) = addition(sK1,multiplication(addition(sK2,X0),sK3)),
inference(superposition,[],[f88,f70]) ).
fof(f594,plain,
! [X0] : addition(sF5,X0) = addition(sK1,addition(X0,sF4)),
inference(superposition,[],[f88,f30]) ).
fof(f647,plain,
addition(sK1,sF4) = addition(sF5,sK1),
inference(superposition,[],[f159,f594]) ).
fof(f652,plain,
sF5 = addition(sF5,sK1),
inference(forward_demodulation,[],[f647,f58]) ).
fof(f657,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,c(X0)) ),
inference(resolution,[],[f44,f54]) ).
fof(f664,plain,
zero = multiplication(sK3,c(sK3)),
inference(resolution,[],[f657,f50]) ).
fof(f665,plain,
zero = multiplication(sK2,c(sK2)),
inference(resolution,[],[f657,f51]) ).
fof(f666,plain,
zero = multiplication(sK1,c(sK1)),
inference(resolution,[],[f657,f52]) ).
fof(f691,plain,
! [X0] : addition(X0,sF6) = addition(sK2,addition(X0,sK1)),
inference(superposition,[],[f92,f60]) ).
fof(f885,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(c(X0),X0) ),
inference(resolution,[],[f45,f54]) ).
fof(f952,plain,
addition(sK2,sK1) = addition(sK2,addition(sF6,sK1)),
inference(superposition,[],[f161,f86]) ).
fof(f1006,plain,
addition(sK2,sK1) = addition(sF6,sF6),
inference(forward_demodulation,[],[f952,f691]) ).
fof(f1066,plain,
sF6 = addition(sK2,sK1),
inference(forward_demodulation,[],[f1006,f33]) ).
fof(f1125,plain,
! [X0] : addition(X0,sF6) = addition(sK1,addition(X0,sF6)),
inference(superposition,[],[f92,f266]) ).
fof(f1147,plain,
one = addition(c(sK1),sK1),
inference(resolution,[],[f119,f52]) ).
fof(f1148,plain,
one = addition(c(sK2),sK2),
inference(resolution,[],[f119,f51]) ).
fof(f1149,plain,
one = addition(c(sK3),sK3),
inference(resolution,[],[f119,f50]) ).
fof(f1153,plain,
one = addition(sK1,c(sK1)),
inference(superposition,[],[f30,f1147]) ).
fof(f1160,plain,
! [X0,X1] : addition(multiplication(X0,c(sK1)),multiplication(addition(X0,X1),sK1)) = addition(multiplication(X0,one),multiplication(X1,sK1)),
inference(superposition,[],[f297,f1147]) ).
fof(f1161,plain,
! [X0,X1] : addition(multiplication(X0,c(sK1)),multiplication(addition(X0,X1),sK1)) = addition(X0,multiplication(X1,sK1)),
inference(forward_demodulation,[],[f1160,f35]) ).
fof(f1168,plain,
one = addition(sK2,c(sK2)),
inference(superposition,[],[f30,f1148]) ).
fof(f1175,plain,
! [X0,X1] : addition(multiplication(X0,c(sK2)),multiplication(addition(X0,X1),sK2)) = addition(multiplication(X0,one),multiplication(X1,sK2)),
inference(superposition,[],[f297,f1148]) ).
fof(f1176,plain,
! [X0,X1] : addition(multiplication(X0,c(sK2)),multiplication(addition(X0,X1),sK2)) = addition(X0,multiplication(X1,sK2)),
inference(forward_demodulation,[],[f1175,f35]) ).
fof(f1190,plain,
! [X0,X1] : addition(multiplication(X0,c(sK3)),multiplication(addition(X0,X1),sK3)) = addition(multiplication(X0,one),multiplication(X1,sK3)),
inference(superposition,[],[f297,f1149]) ).
fof(f1191,plain,
! [X0,X1] : addition(multiplication(X0,c(sK3)),multiplication(addition(X0,X1),sK3)) = addition(X0,multiplication(X1,sK3)),
inference(forward_demodulation,[],[f1190,f35]) ).
fof(f1450,definition,
( spl9_10
<=> zero = multiplication(c(sK1),sK1) ),
introduced(definition,[new_symbols(definition,[spl9_10])],[avatar_definition]) ).
fof(f1451,plain,
( zero = multiplication(c(sK1),sK1)
| ~ spl9_10 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f1452,plain,
( zero != multiplication(c(sK1),sK1)
| spl9_10 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f1489,definition,
( spl9_12
<=> zero = multiplication(c(sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl9_12])],[avatar_definition]) ).
fof(f1490,plain,
( zero = multiplication(c(sK2),sK2)
| ~ spl9_12 ),
inference(avatar_component_clause,[],[f1489]) ).
fof(f1491,plain,
( zero != multiplication(c(sK2),sK2)
| spl9_12 ),
inference(avatar_component_clause,[],[f1489]) ).
fof(f1522,plain,
! [X0] : addition(X0,multiplication(X0,sK1)) = addition(multiplication(X0,c(sK1)),multiplication(X0,sK1)),
inference(superposition,[],[f1161,f33]) ).
fof(f1617,plain,
! [X0] : multiplication(X0,addition(c(sK1),sK1)) = addition(X0,multiplication(X0,sK1)),
inference(forward_demodulation,[],[f1522,f37]) ).
fof(f1652,plain,
! [X0] : multiplication(X0,addition(c(sK1),sK1)) = multiplication(X0,addition(one,sK1)),
inference(forward_demodulation,[],[f1617,f181]) ).
fof(f1678,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,addition(one,sK1)),
inference(forward_demodulation,[],[f1652,f1147]) ).
fof(f1685,plain,
! [X0] : multiplication(X0,addition(one,sK1)) = X0,
inference(forward_demodulation,[],[f1678,f35]) ).
fof(f1691,plain,
! [X0] : addition(X0,multiplication(X0,sK2)) = addition(multiplication(X0,c(sK2)),multiplication(X0,sK2)),
inference(superposition,[],[f1176,f33]) ).
fof(f1784,plain,
! [X0] : multiplication(X0,addition(c(sK2),sK2)) = addition(X0,multiplication(X0,sK2)),
inference(forward_demodulation,[],[f1691,f37]) ).
fof(f1812,plain,
! [X0] : multiplication(X0,addition(c(sK2),sK2)) = multiplication(X0,addition(one,sK2)),
inference(forward_demodulation,[],[f1784,f181]) ).
fof(f1829,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,addition(one,sK2)),
inference(forward_demodulation,[],[f1812,f1148]) ).
fof(f1836,plain,
! [X0] : multiplication(X0,addition(one,sK2)) = X0,
inference(forward_demodulation,[],[f1829,f35]) ).
fof(f1840,plain,
addition(sF5,multiplication(sK1,sK3)) = addition(sK1,multiplication(sF6,sK3)),
inference(superposition,[],[f590,f1066]) ).
fof(f1957,plain,
zero = multiplication(c(sK1),sK1),
inference(resolution,[],[f885,f52]) ).
fof(f1958,plain,
zero = multiplication(c(sK2),sK2),
inference(resolution,[],[f885,f51]) ).
fof(f1960,plain,
( $false
| spl9_12 ),
inference(forward_subsumption_resolution,[],[f1958,f1491]) ).
fof(f1961,plain,
spl9_12,
inference(avatar_contradiction_clause,[],[f1960]) ).
fof(f1962,plain,
( $false
| spl9_10 ),
inference(forward_subsumption_resolution,[],[f1957,f1452]) ).
fof(f1963,plain,
spl9_10,
inference(avatar_contradiction_clause,[],[f1962]) ).
fof(f2002,plain,
( ! [X0] : addition(zero,multiplication(X0,sK1)) = multiplication(addition(c(sK1),X0),sK1)
| ~ spl9_10 ),
inference(superposition,[],[f38,f1451]) ).
fof(f2022,plain,
( ! [X0] : multiplication(X0,sK1) = multiplication(addition(c(sK1),X0),sK1)
| ~ spl9_10 ),
inference(forward_demodulation,[],[f2002,f194]) ).
fof(f2033,plain,
( ! [X0] : addition(zero,multiplication(X0,sK2)) = multiplication(addition(c(sK2),X0),sK2)
| ~ spl9_12 ),
inference(superposition,[],[f38,f1490]) ).
fof(f2053,plain,
( ! [X0] : multiplication(X0,sK2) = multiplication(addition(c(sK2),X0),sK2)
| ~ spl9_12 ),
inference(forward_demodulation,[],[f2033,f194]) ).
fof(f2196,plain,
multiplication(sF4,c(sK3)) = multiplication(sK2,zero),
inference(superposition,[],[f141,f664]) ).
fof(f2198,plain,
! [X0] : multiplication(sK3,addition(c(sK3),X0)) = addition(zero,multiplication(sK3,X0)),
inference(superposition,[],[f37,f664]) ).
fof(f2222,plain,
! [X0] : multiplication(sK3,X0) = multiplication(sK3,addition(c(sK3),X0)),
inference(forward_demodulation,[],[f2198,f194]) ).
fof(f2224,plain,
zero = multiplication(sF4,c(sK3)),
inference(forward_demodulation,[],[f2196,f39]) ).
fof(f2235,plain,
! [X0] : addition(X0,multiplication(X0,sK3)) = addition(multiplication(X0,c(sK3)),multiplication(X0,sK3)),
inference(superposition,[],[f1191,f33]) ).
fof(f2269,plain,
addition(sK1,multiplication(sK2,sK3)) = addition(multiplication(sK1,c(sK3)),multiplication(sF6,sK3)),
inference(superposition,[],[f1191,f60]) ).
fof(f2271,plain,
addition(sK1,multiplication(sF4,sK3)) = addition(multiplication(sK1,c(sK3)),multiplication(sF5,sK3)),
inference(superposition,[],[f1191,f58]) ).
fof(f2278,plain,
addition(multiplication(sF4,c(sK3)),multiplication(sF5,sK3)) = addition(sF4,multiplication(sF5,sK3)),
inference(superposition,[],[f1191,f219]) ).
fof(f2279,plain,
addition(sF5,multiplication(sK1,sK3)) = addition(multiplication(sF5,c(sK3)),multiplication(sF5,sK3)),
inference(superposition,[],[f1191,f652]) ).
fof(f2307,plain,
addition(sF5,multiplication(sK1,sK3)) = multiplication(sF5,addition(c(sK3),sK3)),
inference(forward_demodulation,[],[f2279,f37]) ).
fof(f2308,plain,
addition(multiplication(sF4,c(sK3)),multiplication(sF5,sK3)) = multiplication(addition(sK2,sF5),sK3),
inference(forward_demodulation,[],[f2278,f70]) ).
fof(f2314,plain,
addition(sK1,sF4) = addition(multiplication(sK1,c(sK3)),multiplication(sF6,sK3)),
inference(forward_demodulation,[],[f2269,f56]) ).
fof(f2341,plain,
! [X0] : multiplication(X0,addition(c(sK3),sK3)) = addition(X0,multiplication(X0,sK3)),
inference(forward_demodulation,[],[f2235,f37]) ).
fof(f2353,plain,
multiplication(sF5,one) = addition(sF5,multiplication(sK1,sK3)),
inference(forward_demodulation,[],[f2307,f1149]) ).
fof(f2354,plain,
multiplication(addition(sK2,sF5),sK3) = addition(zero,multiplication(sF5,sK3)),
inference(forward_demodulation,[],[f2308,f2224]) ).
fof(f2360,plain,
sF5 = addition(multiplication(sK1,c(sK3)),multiplication(sF6,sK3)),
inference(forward_demodulation,[],[f2314,f58]) ).
fof(f2378,plain,
! [X0] : multiplication(X0,addition(c(sK3),sK3)) = multiplication(X0,addition(one,sK3)),
inference(forward_demodulation,[],[f2341,f181]) ).
fof(f2386,plain,
multiplication(sF5,one) = addition(sK1,multiplication(sF6,sK3)),
inference(forward_demodulation,[],[f2353,f1840]) ).
fof(f2387,plain,
multiplication(sF5,sK3) = multiplication(addition(sK2,sF5),sK3),
inference(forward_demodulation,[],[f2354,f194]) ).
fof(f2403,plain,
! [X0] : multiplication(X0,one) = multiplication(X0,addition(one,sK3)),
inference(forward_demodulation,[],[f2378,f1149]) ).
fof(f2404,plain,
sF5 = addition(sK1,multiplication(sF6,sK3)),
inference(forward_demodulation,[],[f2386,f35]) ).
fof(f2416,plain,
! [X0] : multiplication(X0,addition(one,sK3)) = X0,
inference(forward_demodulation,[],[f2403,f35]) ).
fof(f2563,plain,
( multiplication(sK1,sK1) = multiplication(one,sK1)
| ~ spl9_10 ),
inference(superposition,[],[f2022,f1147]) ).
fof(f2599,plain,
( sK1 = multiplication(sK1,sK1)
| ~ spl9_10 ),
inference(forward_demodulation,[],[f2563,f36]) ).
fof(f2654,plain,
! [X0,X1] : multiplication(sF6,addition(multiplication(sF7,X0),X1)) = addition(multiplication(sF8,X0),multiplication(sF6,X1)),
inference(superposition,[],[f37,f142]) ).
fof(f2845,plain,
! [X0] : addition(X0,X0) = multiplication(X0,addition(addition(one,sK1),one)),
inference(superposition,[],[f180,f1685]) ).
fof(f2851,plain,
one = addition(one,sK1),
inference(superposition,[],[f36,f1685]) ).
fof(f2867,plain,
! [X0] : addition(X0,X0) = multiplication(X0,addition(one,addition(sK1,one))),
inference(forward_demodulation,[],[f2845,f31]) ).
fof(f2884,plain,
! [X0] : addition(X0,X0) = multiplication(X0,addition(sK1,one)),
inference(forward_demodulation,[],[f2867,f207]) ).
fof(f2890,plain,
! [X0] : multiplication(X0,addition(sK1,one)) = X0,
inference(forward_demodulation,[],[f2884,f33]) ).
fof(f2917,plain,
( multiplication(one,sK2) = multiplication(sK2,sK2)
| ~ spl9_12 ),
inference(superposition,[],[f2053,f1148]) ).
fof(f2953,plain,
( sK2 = multiplication(sK2,sK2)
| ~ spl9_12 ),
inference(forward_demodulation,[],[f2917,f36]) ).
fof(f3111,plain,
one = addition(sK1,one),
inference(superposition,[],[f159,f1153]) ).
fof(f3149,plain,
one = addition(one,sK3),
inference(superposition,[],[f36,f2416]) ).
fof(f3193,plain,
addition(sF7,one) = addition(sK1,one),
inference(superposition,[],[f128,f3149]) ).
fof(f3209,plain,
one = addition(sF7,one),
inference(forward_demodulation,[],[f3193,f3111]) ).
fof(f3219,plain,
one = addition(one,sF7),
inference(superposition,[],[f30,f3209]) ).
fof(f3221,plain,
! [X0] : addition(X0,one) = addition(sF7,addition(one,X0)),
inference(superposition,[],[f92,f3209]) ).
fof(f3263,plain,
addition(sF4,sF7) = addition(sF5,sF7),
inference(superposition,[],[f97,f217]) ).
fof(f3272,plain,
addition(multiplication(sK1,c(sK1)),multiplication(sF7,sK1)) = addition(sK1,multiplication(sF7,sK1)),
inference(superposition,[],[f1161,f217]) ).
fof(f3277,plain,
addition(multiplication(sK1,c(sK1)),multiplication(sF7,sK1)) = multiplication(addition(one,sF7),sK1),
inference(forward_demodulation,[],[f3272,f123]) ).
fof(f3281,plain,
multiplication(one,sK1) = addition(multiplication(sK1,c(sK1)),multiplication(sF7,sK1)),
inference(forward_demodulation,[],[f3277,f3219]) ).
fof(f3282,plain,
multiplication(one,sK1) = addition(zero,multiplication(sF7,sK1)),
inference(forward_demodulation,[],[f3281,f666]) ).
fof(f3283,plain,
multiplication(one,sK1) = multiplication(sF7,sK1),
inference(forward_demodulation,[],[f3282,f194]) ).
fof(f3284,plain,
sK1 = multiplication(sF7,sK1),
inference(forward_demodulation,[],[f3283,f36]) ).
fof(f3285,plain,
multiplication(sF8,sK1) = multiplication(sF6,sK1),
inference(superposition,[],[f142,f3284]) ).
fof(f3467,plain,
one = addition(one,sK2),
inference(superposition,[],[f36,f1836]) ).
fof(f3472,plain,
addition(sF8,sF6) = multiplication(sF6,addition(sF7,addition(one,sK2))),
inference(superposition,[],[f103,f1836]) ).
fof(f3477,plain,
addition(sF8,sF6) = multiplication(sF6,addition(sK2,one)),
inference(forward_demodulation,[],[f3472,f3221]) ).
fof(f3511,plain,
multiplication(one,sK3) = addition(sK3,sF4),
inference(superposition,[],[f558,f3467]) ).
fof(f3512,plain,
addition(sK1,one) = addition(sF6,one),
inference(superposition,[],[f241,f3467]) ).
fof(f3521,plain,
addition(one,multiplication(sK2,sK3)) = addition(multiplication(one,c(sK3)),multiplication(one,sK3)),
inference(superposition,[],[f1191,f3467]) ).
fof(f3522,plain,
addition(one,multiplication(sK2,sK3)) = multiplication(one,addition(c(sK3),sK3)),
inference(forward_demodulation,[],[f3521,f37]) ).
fof(f3528,plain,
one = addition(sF6,one),
inference(forward_demodulation,[],[f3512,f3111]) ).
fof(f3529,plain,
sK3 = addition(sK3,sF4),
inference(forward_demodulation,[],[f3511,f36]) ).
fof(f3530,plain,
addition(c(sK3),sK3) = addition(one,multiplication(sK2,sK3)),
inference(forward_demodulation,[],[f3522,f36]) ).
fof(f3533,plain,
addition(c(sK3),sK3) = addition(one,sF4),
inference(forward_demodulation,[],[f3530,f56]) ).
fof(f3536,plain,
one = addition(one,sF4),
inference(forward_demodulation,[],[f3533,f1149]) ).
fof(f3541,plain,
addition(sK1,sK3) = addition(sF7,sF4),
inference(superposition,[],[f87,f3529]) ).
fof(f3553,plain,
addition(sK3,multiplication(sF4,sK3)) = addition(multiplication(sK3,c(sK3)),multiplication(sK3,sK3)),
inference(superposition,[],[f1191,f3529]) ).
fof(f3554,plain,
addition(sK3,multiplication(sF4,sK3)) = multiplication(sK3,addition(c(sK3),sK3)),
inference(forward_demodulation,[],[f3553,f37]) ).
fof(f3560,plain,
sF7 = addition(sF7,sF4),
inference(forward_demodulation,[],[f3541,f62]) ).
fof(f3562,plain,
multiplication(sK3,sK3) = addition(sK3,multiplication(sF4,sK3)),
inference(forward_demodulation,[],[f3554,f2222]) ).
fof(f3567,plain,
multiplication(sK3,sK3) = multiplication(addition(one,sF4),sK3),
inference(forward_demodulation,[],[f3562,f123]) ).
fof(f3570,plain,
multiplication(one,sK3) = multiplication(sK3,sK3),
inference(forward_demodulation,[],[f3567,f3536]) ).
fof(f3571,plain,
sK3 = multiplication(sK3,sK3),
inference(forward_demodulation,[],[f3570,f36]) ).
fof(f3576,plain,
sF7 = addition(sF4,sF7),
inference(superposition,[],[f30,f3560]) ).
fof(f3619,plain,
multiplication(sK2,sK3) = multiplication(sF4,sK3),
inference(superposition,[],[f141,f3571]) ).
fof(f3645,plain,
sF4 = multiplication(sF4,sK3),
inference(forward_demodulation,[],[f3619,f56]) ).
fof(f3717,plain,
addition(sK1,one) = addition(sF5,one),
inference(superposition,[],[f594,f3536]) ).
fof(f3733,plain,
one = addition(sF5,one),
inference(forward_demodulation,[],[f3717,f3111]) ).
fof(f3768,plain,
one = addition(one,sF6),
inference(superposition,[],[f30,f3528]) ).
fof(f3822,plain,
addition(multiplication(one,c(sK2)),multiplication(one,sK2)) = addition(one,multiplication(sF6,sK2)),
inference(superposition,[],[f1176,f3768]) ).
fof(f3825,plain,
multiplication(one,addition(c(sK2),sK2)) = addition(one,multiplication(sF6,sK2)),
inference(forward_demodulation,[],[f3822,f37]) ).
fof(f3831,plain,
addition(c(sK2),sK2) = addition(one,multiplication(sF6,sK2)),
inference(forward_demodulation,[],[f3825,f36]) ).
fof(f3834,plain,
one = addition(one,multiplication(sF6,sK2)),
inference(forward_demodulation,[],[f3831,f1148]) ).
fof(f4336,plain,
one = addition(one,sF5),
inference(superposition,[],[f30,f3733]) ).
fof(f4392,plain,
addition(multiplication(sK1,c(sK1)),multiplication(sF5,sK1)) = addition(sK1,multiplication(sF5,sK1)),
inference(superposition,[],[f1161,f218]) ).
fof(f4397,plain,
addition(multiplication(sK1,c(sK1)),multiplication(sF5,sK1)) = multiplication(addition(one,sF5),sK1),
inference(forward_demodulation,[],[f4392,f123]) ).
fof(f4403,plain,
multiplication(one,sK1) = addition(multiplication(sK1,c(sK1)),multiplication(sF5,sK1)),
inference(forward_demodulation,[],[f4397,f4336]) ).
fof(f4404,plain,
multiplication(one,sK1) = addition(zero,multiplication(sF5,sK1)),
inference(forward_demodulation,[],[f4403,f666]) ).
fof(f4405,plain,
multiplication(one,sK1) = multiplication(sF5,sK1),
inference(forward_demodulation,[],[f4404,f194]) ).
fof(f4406,plain,
sK1 = multiplication(sF5,sK1),
inference(forward_demodulation,[],[f4405,f36]) ).
fof(f4408,plain,
! [X0] : multiplication(sF5,addition(sK1,X0)) = addition(sK1,multiplication(sF5,X0)),
inference(superposition,[],[f37,f4406]) ).
fof(f4583,plain,
addition(sF5,multiplication(sF5,sK3)) = addition(sK1,multiplication(sF5,sK3)),
inference(superposition,[],[f590,f2387]) ).
fof(f4616,plain,
addition(sF5,multiplication(sF5,sK3)) = multiplication(sF5,addition(sK1,sK3)),
inference(forward_demodulation,[],[f4583,f4408]) ).
fof(f4639,plain,
addition(sF5,multiplication(sF5,sK3)) = multiplication(sF5,sF7),
inference(forward_demodulation,[],[f4616,f62]) ).
fof(f4643,plain,
multiplication(sF5,addition(one,sK3)) = multiplication(sF5,sF7),
inference(forward_demodulation,[],[f4639,f181]) ).
fof(f4644,plain,
sF5 = multiplication(sF5,sF7),
inference(forward_demodulation,[],[f4643,f2416]) ).
fof(f5518,plain,
addition(multiplication(sK1,sF6),multiplication(sK2,sK2)) = addition(multiplication(sK1,sK1),multiplication(sF6,sK2)),
inference(superposition,[],[f383,f60]) ).
fof(f5525,plain,
addition(multiplication(sK2,sF6),multiplication(c(sK2),sK2)) = addition(multiplication(sK2,sK1),multiplication(one,sK2)),
inference(superposition,[],[f383,f1168]) ).
fof(f5542,plain,
addition(multiplication(sF5,sF6),multiplication(one,sK2)) = addition(multiplication(sF5,sK1),multiplication(one,sK2)),
inference(superposition,[],[f383,f3733]) ).
fof(f5603,plain,
addition(multiplication(sF5,sF6),sK2) = addition(multiplication(sF5,sK1),sK2),
inference(forward_demodulation,[],[f5542,f36]) ).
fof(f5614,plain,
addition(multiplication(sK2,sF6),multiplication(c(sK2),sK2)) = addition(multiplication(sK2,sK1),sK2),
inference(forward_demodulation,[],[f5525,f36]) ).
fof(f5620,plain,
( addition(sK1,multiplication(sF6,sK2)) = addition(multiplication(sK1,sF6),multiplication(sK2,sK2))
| ~ spl9_10 ),
inference(forward_demodulation,[],[f5518,f2599]) ).
fof(f5699,plain,
addition(sK1,sK2) = addition(multiplication(sF5,sF6),sK2),
inference(forward_demodulation,[],[f5603,f4406]) ).
fof(f5708,plain,
addition(multiplication(sK2,sF6),multiplication(c(sK2),sK2)) = multiplication(sK2,addition(sK1,one)),
inference(forward_demodulation,[],[f5614,f180]) ).
fof(f5713,plain,
( addition(sK1,multiplication(sF6,sK2)) = addition(multiplication(sK1,sF6),sK2)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f5620,f2953]) ).
fof(f5775,plain,
sF6 = addition(multiplication(sF5,sF6),sK2),
inference(forward_demodulation,[],[f5699,f60]) ).
fof(f5782,plain,
sK2 = addition(multiplication(sK2,sF6),multiplication(c(sK2),sK2)),
inference(forward_demodulation,[],[f5708,f2890]) ).
fof(f5831,plain,
( sK2 = addition(multiplication(sK2,sF6),zero)
| ~ spl9_12 ),
inference(forward_demodulation,[],[f5782,f1490]) ).
fof(f5867,plain,
( sK2 = multiplication(sK2,sF6)
| ~ spl9_12 ),
inference(forward_demodulation,[],[f5831,f32]) ).
fof(f5898,plain,
( ! [X0] : multiplication(addition(sK2,X0),sF6) = addition(sK2,multiplication(X0,sF6))
| ~ spl9_12 ),
inference(superposition,[],[f38,f5867]) ).
fof(f5971,plain,
( addition(sF6,multiplication(sK1,sF6)) = addition(sK1,addition(sK1,multiplication(sF6,sK2)))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f241,f5713]) ).
fof(f5973,plain,
( addition(sK1,multiplication(sF6,sK2)) = addition(sK2,multiplication(sK1,sF6))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f30,f5713]) ).
fof(f5996,plain,
( addition(sK1,multiplication(sF6,sK2)) = multiplication(addition(sK2,sK1),sF6)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f5973,f5898]) ).
fof(f5998,plain,
( addition(sK1,multiplication(sF6,sK2)) = addition(sF6,multiplication(sK1,sF6))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f5971,f159]) ).
fof(f6008,plain,
( addition(sK1,multiplication(sF6,sK2)) = multiplication(sF6,sF6)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f5996,f1066]) ).
fof(f6010,plain,
( addition(sK1,multiplication(sF6,sK2)) = multiplication(addition(one,sK1),sF6)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f5998,f123]) ).
fof(f6017,plain,
( addition(sK1,multiplication(sF6,sK2)) = multiplication(one,sF6)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6010,f2851]) ).
fof(f6022,plain,
( sF6 = addition(sK1,multiplication(sF6,sK2))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6017,f36]) ).
fof(f6026,plain,
( sF6 = multiplication(sF6,sF6)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6022,f6008]) ).
fof(f6034,plain,
( ! [X0] : multiplication(sF6,X0) = multiplication(sF6,multiplication(sF6,X0))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f34,f6026]) ).
fof(f6035,plain,
( ! [X0] : multiplication(sF6,addition(sF6,X0)) = addition(sF6,multiplication(sF6,X0))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f37,f6026]) ).
fof(f6036,plain,
( ! [X0] : multiplication(sF6,addition(X0,sF6)) = addition(multiplication(sF6,X0),sF6)
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f37,f6026]) ).
fof(f6055,plain,
( ! [X0] : multiplication(sF6,addition(X0,sF6)) = multiplication(sF6,addition(X0,one))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6036,f180]) ).
fof(f6056,plain,
( ! [X0] : multiplication(sF6,addition(sF6,X0)) = multiplication(sF6,addition(one,X0))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6035,f181]) ).
fof(f6084,plain,
( multiplication(sF6,sF6) = addition(sK1,addition(multiplication(sF6,sK2),multiplication(sF6,sF6)))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f161,f6008]) ).
fof(f6087,plain,
( addition(sK1,multiplication(multiplication(sF6,sK2),sK1)) = addition(multiplication(sK1,c(sK1)),multiplication(multiplication(sF6,sF6),sK1))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f1161,f6008]) ).
fof(f6089,plain,
( addition(sK1,multiplication(multiplication(sF6,sK2),sK3)) = addition(multiplication(sK1,c(sK3)),multiplication(multiplication(sF6,sF6),sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f1191,f6008]) ).
fof(f6092,plain,
( addition(sK1,multiplication(multiplication(sF6,sK2),sK3)) = addition(multiplication(sK1,c(sK3)),multiplication(sF6,multiplication(sF6,sK3)))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6089,f34]) ).
fof(f6094,plain,
( addition(sK1,multiplication(multiplication(sF6,sK2),sK1)) = addition(multiplication(sK1,c(sK1)),multiplication(sF6,multiplication(sF6,sK1)))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6087,f34]) ).
fof(f6097,plain,
( multiplication(sF6,sF6) = addition(sK1,multiplication(sF6,addition(sK2,sF6)))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6084,f37]) ).
fof(f6107,plain,
( addition(multiplication(sK1,c(sK3)),multiplication(sF6,sK3)) = addition(sK1,multiplication(multiplication(sF6,sK2),sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6092,f6034]) ).
fof(f6109,plain,
( addition(multiplication(sK1,c(sK1)),multiplication(sF6,sK1)) = addition(sK1,multiplication(multiplication(sF6,sK2),sK1))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6094,f6034]) ).
fof(f6111,plain,
( multiplication(sF6,sF6) = addition(sK1,multiplication(sF6,addition(sK2,one)))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6097,f6055]) ).
fof(f6115,plain,
( addition(multiplication(sK1,c(sK3)),multiplication(sF6,sK3)) = addition(sK1,multiplication(sF6,multiplication(sK2,sK3)))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6107,f34]) ).
fof(f6117,plain,
( addition(multiplication(sK1,c(sK1)),multiplication(sF6,sK1)) = multiplication(addition(one,multiplication(sF6,sK2)),sK1)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6109,f123]) ).
fof(f6119,plain,
( multiplication(sF6,sF6) = addition(sK1,addition(sF8,sF6))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6111,f3477]) ).
fof(f6120,plain,
( addition(multiplication(sK1,c(sK3)),multiplication(sF6,sK3)) = addition(sK1,multiplication(sF6,sF4))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6115,f56]) ).
fof(f6122,plain,
( multiplication(one,sK1) = addition(multiplication(sK1,c(sK1)),multiplication(sF6,sK1))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6117,f3834]) ).
fof(f6124,plain,
( addition(sF8,sF6) = multiplication(sF6,sF6)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6119,f1125]) ).
fof(f6125,plain,
( sF5 = addition(sK1,multiplication(sF6,sF4))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6120,f2360]) ).
fof(f6127,plain,
( multiplication(one,sK1) = addition(zero,multiplication(sF6,sK1))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6122,f666]) ).
fof(f6129,plain,
( sF6 = addition(sF8,sF6)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6124,f6026]) ).
fof(f6131,plain,
( multiplication(one,sK1) = multiplication(sF6,sK1)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6127,f194]) ).
fof(f6133,plain,
( sK1 = multiplication(sF6,sK1)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6131,f36]) ).
fof(f6136,plain,
( multiplication(sF6,addition(sF7,sK1)) = addition(sF8,sK1)
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f103,f6133]) ).
fof(f6137,plain,
( addition(sK1,sF8) = multiplication(sF6,addition(sK1,sF7))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f105,f6133]) ).
fof(f6140,plain,
( ! [X0] : multiplication(sF6,addition(sK1,X0)) = addition(sK1,multiplication(sF6,X0))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f37,f6133]) ).
fof(f6159,plain,
( multiplication(sF6,sF7) = addition(sK1,sF8)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6137,f217]) ).
fof(f6160,plain,
( multiplication(sF6,sF7) = addition(sF8,sK1)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6136,f228]) ).
fof(f6163,plain,
( sF8 = addition(sK1,sF8)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6159,f64]) ).
fof(f6164,plain,
( sF8 = addition(sF8,sK1)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6160,f64]) ).
fof(f6199,plain,
( addition(sF5,sF8) = addition(sF4,sF8)
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f97,f6163]) ).
fof(f6308,plain,
( addition(multiplication(sK1,c(sK3)),multiplication(sF5,sK3)) = addition(sK1,multiplication(multiplication(sF6,sF4),sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f1191,f6125]) ).
fof(f6311,plain,
( addition(multiplication(sK1,c(sK3)),multiplication(sF5,sK3)) = addition(sK1,multiplication(sF6,multiplication(sF4,sK3)))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6308,f34]) ).
fof(f6320,plain,
( addition(multiplication(sK1,c(sK3)),multiplication(sF5,sK3)) = multiplication(sF6,addition(sK1,multiplication(sF4,sK3)))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6311,f6140]) ).
fof(f6325,plain,
( addition(multiplication(sK1,c(sK3)),multiplication(sF5,sK3)) = multiplication(sF6,addition(sK1,sF4))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6320,f3645]) ).
fof(f6329,plain,
( addition(multiplication(sK1,c(sK3)),multiplication(sF5,sK3)) = multiplication(sF6,sF5)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6325,f58]) ).
fof(f6333,plain,
( addition(sK1,multiplication(sF4,sK3)) = multiplication(sF6,sF5)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6329,f2271]) ).
fof(f6337,plain,
( addition(sK1,sF4) = multiplication(sF6,sF5)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6333,f3645]) ).
fof(f6340,plain,
( sF5 = multiplication(sF6,sF5)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6337,f58]) ).
fof(f6343,plain,
( addition(sF5,sF8) = multiplication(sF6,addition(sF5,sF7))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f105,f6340]) ).
fof(f6355,plain,
( addition(sF6,sF5) = multiplication(sF6,addition(one,sF5))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f181,f6340]) ).
fof(f6357,plain,
( multiplication(sF6,one) = addition(sF6,sF5)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6355,f4336]) ).
fof(f6364,plain,
( addition(sF5,sF8) = multiplication(sF6,addition(sF4,sF7))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6343,f3263]) ).
fof(f6366,plain,
( sF6 = addition(sF6,sF5)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6357,f35]) ).
fof(f6371,plain,
( multiplication(sF6,sF7) = addition(sF5,sF8)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6364,f3576]) ).
fof(f6383,plain,
( multiplication(sF6,sF7) = addition(sF4,sF8)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6371,f6199]) ).
fof(f6384,plain,
( sF8 = addition(sF4,sF8)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6383,f64]) ).
fof(f6638,plain,
sF6 = addition(sK2,multiplication(sF5,sF6)),
inference(superposition,[],[f30,f5775]) ).
fof(f6661,plain,
( sF6 = multiplication(addition(sK2,sF5),sF6)
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6638,f5898]) ).
fof(f6907,plain,
( addition(sF6,addition(sK2,sF5)) = multiplication(addition(sK2,sF5),addition(sF6,one))
| ~ spl9_12 ),
inference(superposition,[],[f180,f6661]) ).
fof(f6913,plain,
( addition(sF6,addition(sK2,sF5)) = multiplication(addition(sK2,sF5),one)
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6907,f3528]) ).
fof(f6920,plain,
( addition(sK2,sF5) = addition(sF6,addition(sK2,sF5))
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6913,f35]) ).
fof(f6926,plain,
( addition(sK2,sF5) = addition(sF6,sF5)
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6920,f250]) ).
fof(f6930,plain,
( sF6 = addition(sK2,sF5)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6926,f6366]) ).
fof(f6949,plain,
( addition(multiplication(sK2,c(sK2)),multiplication(sF6,sK2)) = addition(sK2,multiplication(sF5,sK2))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f1176,f6930]) ).
fof(f6953,plain,
( addition(multiplication(sK2,c(sK2)),multiplication(sF6,sK2)) = multiplication(addition(one,sF5),sK2)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6949,f123]) ).
fof(f6962,plain,
( multiplication(one,sK2) = addition(multiplication(sK2,c(sK2)),multiplication(sF6,sK2))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6953,f4336]) ).
fof(f6967,plain,
( multiplication(one,sK2) = addition(zero,multiplication(sF6,sK2))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6962,f665]) ).
fof(f6969,plain,
( multiplication(one,sK2) = multiplication(sF6,sK2)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6967,f194]) ).
fof(f6971,plain,
( sK2 = multiplication(sF6,sK2)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6969,f36]) ).
fof(f6977,plain,
( multiplication(sF6,addition(sF7,sK2)) = addition(sF8,sK2)
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f103,f6971]) ).
fof(f6998,plain,
( multiplication(sF6,addition(sF6,sK3)) = addition(sF8,sK2)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6977,f245]) ).
fof(f7003,plain,
( multiplication(sF6,addition(one,sK3)) = addition(sF8,sK2)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f6998,f6056]) ).
fof(f7004,plain,
( sF6 = addition(sF8,sK2)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f7003,f2416]) ).
fof(f7010,plain,
( sF6 = addition(sK2,sF8)
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f30,f7004]) ).
fof(f7085,plain,
( addition(sK1,multiplication(sF6,sK3)) = addition(sF5,multiplication(sF8,sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f590,f7010]) ).
fof(f7108,plain,
( sF5 = addition(sF5,multiplication(sF8,sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f7085,f2404]) ).
fof(f7806,plain,
! [X0] : addition(multiplication(sF8,sF7),multiplication(X0,sK3)) = addition(multiplication(sF6,sK1),multiplication(addition(sF8,X0),sK3)),
inference(superposition,[],[f384,f3285]) ).
fof(f7909,plain,
( addition(multiplication(sF5,sF7),multiplication(sF8,sK3)) = addition(multiplication(sF5,sK1),multiplication(addition(sF4,sF8),sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f384,f6199]) ).
fof(f7925,plain,
addition(multiplication(sF7,sK1),multiplication(sF7,sK3)) = addition(multiplication(sF7,sF7),multiplication(sK3,sK3)),
inference(superposition,[],[f384,f165]) ).
fof(f7934,plain,
( addition(multiplication(sF8,sK1),multiplication(sF8,sK3)) = addition(multiplication(sF8,sF7),multiplication(sK1,sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f384,f6164]) ).
fof(f7938,plain,
( addition(multiplication(sF8,sK1),multiplication(sF6,sK3)) = addition(multiplication(sF8,sF7),multiplication(sF6,sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f384,f6129]) ).
fof(f7970,plain,
( addition(multiplication(sF8,sK1),multiplication(sF6,sK3)) = multiplication(sF6,addition(multiplication(sF7,sF7),sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f7938,f2654]) ).
fof(f7974,plain,
( addition(multiplication(sF8,sF7),multiplication(sK1,sK3)) = multiplication(sF8,addition(sK1,sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f7934,f37]) ).
fof(f7983,plain,
addition(multiplication(sF7,sK1),multiplication(sF7,sK3)) = addition(multiplication(sF7,sF7),sK3),
inference(forward_demodulation,[],[f7925,f3571]) ).
fof(f7999,plain,
( addition(multiplication(sF5,sF7),multiplication(sF8,sK3)) = addition(multiplication(sF5,sK1),multiplication(sF8,sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f7909,f6384]) ).
fof(f8092,plain,
( ! [X0] : addition(multiplication(sF8,sF7),multiplication(X0,sK3)) = addition(sK1,multiplication(addition(sF8,X0),sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f7806,f6133]) ).
fof(f8111,plain,
( multiplication(sF6,addition(multiplication(sF7,sF7),sK3)) = multiplication(sF6,addition(multiplication(sF7,sK1),sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f7970,f2654]) ).
fof(f8115,plain,
( multiplication(sF8,sF7) = addition(multiplication(sF8,sF7),multiplication(sK1,sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f7974,f62]) ).
fof(f8124,plain,
addition(multiplication(sF7,sF7),sK3) = multiplication(sF7,addition(sK1,sK3)),
inference(forward_demodulation,[],[f7983,f37]) ).
fof(f8140,plain,
( addition(sK1,multiplication(sF8,sK3)) = addition(multiplication(sF5,sF7),multiplication(sF8,sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f7999,f4406]) ).
fof(f8231,plain,
( multiplication(sF6,addition(multiplication(sF7,sF7),sK3)) = multiplication(sF6,addition(sK1,sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f8111,f3284]) ).
fof(f8235,plain,
( multiplication(sF8,sF7) = addition(sK1,multiplication(addition(sF8,sK1),sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f8115,f8092]) ).
fof(f8244,plain,
multiplication(sF7,sF7) = addition(multiplication(sF7,sF7),sK3),
inference(forward_demodulation,[],[f8124,f62]) ).
fof(f8260,plain,
( addition(sK1,multiplication(sF8,sK3)) = addition(sF5,multiplication(sF8,sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f8140,f4644]) ).
fof(f8338,plain,
( multiplication(sF6,sF7) = multiplication(sF6,addition(multiplication(sF7,sF7),sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f8231,f62]) ).
fof(f8341,plain,
( multiplication(sF8,sF7) = addition(sK1,multiplication(sF8,sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f8235,f6164]) ).
fof(f8362,plain,
( sF5 = addition(sK1,multiplication(sF8,sK3))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f8260,f7108]) ).
fof(f8424,plain,
( multiplication(sF6,sF7) = multiplication(sF6,multiplication(sF7,sF7))
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f8338,f8244]) ).
fof(f8439,plain,
( sF5 = multiplication(sF8,sF7)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f8362,f8341]) ).
fof(f8489,plain,
( multiplication(sF6,sF7) = multiplication(sF8,sF7)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f8424,f142]) ).
fof(f8517,plain,
( sF5 = multiplication(sF6,sF7)
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f8489,f8439]) ).
fof(f8534,plain,
( sF5 = sF8
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f8517,f64]) ).
fof(f8544,plain,
( $false
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_subsumption_resolution,[],[f8534,f65]) ).
fof(f8545,plain,
( ~ spl9_10
| ~ spl9_12 ),
inference(avatar_contradiction_clause,[],[f8544]) ).
cnf(s5,plain,
spl9_12,
inference(sat_conversion,[],[f1961]) ).
cnf(s6,plain,
spl9_10,
inference(sat_conversion,[],[f1963]) ).
cnf(s24,plain,
( ~ spl9_10
| ~ spl9_12 ),
inference(sat_conversion,[],[f8545]) ).
cnf(s25,plain,
~ spl9_12,
inference(rat,[],[s24,s6]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s5,s25]) ).
fof(f8550,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE020+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n006.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 12:58:41 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.22/2.31 % (2961323)Detected formulas, will run a generic FOF schedule.
% 10.22/2.31 % (2961333)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3560331095:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.22/2.31 % (2961328)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=49519501:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.22/2.31 % (2961329)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=3002392915:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.22/2.31 % (2961334)dis-21_1_sil=8000:lcm=predicate:random_seed=2398264450: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)
% 10.22/2.31 % (2961330)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=2217163577:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.22/2.31 % (2961331)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1469513461:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.22/2.31 % (2961332)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3688903444:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.22/2.31 % (2961331)Refutation not found, incomplete strategy
% 10.22/2.31 % (2961331)------------------------------
% 10.22/2.31 % (2961331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.31 % (2961331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.31 % (2961331)CaDiCaL version: 2.1.3
% 10.22/2.31 % (2961331)Termination reason: Refutation not found, incomplete strategy
% 10.22/2.31 % (2961331)Time elapsed: 0.001 s
% 10.22/2.31 % (2961331)Peak memory usage: 88 MB
% 10.22/2.31 % (2961334)Refutation not found, incomplete strategy
% 10.22/2.31 % (2961334)------------------------------
% 10.22/2.31 % (2961334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.31 % (2961334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.31 % (2961334)CaDiCaL version: 2.1.3
% 10.22/2.31 % (2961334)Termination reason: Refutation not found, incomplete strategy
% 10.22/2.31 % (2961334)Time elapsed: 0.002 s
% 10.22/2.31 % (2961334)Peak memory usage: 88 MB
% 10.22/2.31 % (2961334)Instructions burned: 1 (million)
% 10.22/2.31 % (2961333)Instruction limit reached!
% 10.22/2.31 % (2961333)------------------------------
% 10.22/2.31 % (2961333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.31 % (2961333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.31 % (2961333)CaDiCaL version: 2.1.3
% 10.22/2.31 % (2961333)Termination reason: Instruction limit
% 10.22/2.31 % (2961333)Termination phase: Saturation
% 10.22/2.31 % (2961333)Time elapsed: 0.042 s
% 10.22/2.31 % (2961333)Peak memory usage: 90 MB
% 10.22/2.31 % (2961333)Instructions burned: 141 (million)
% 10.22/2.31 % (2961332)Instruction limit reached!
% 10.22/2.31 % (2961332)------------------------------
% 10.22/2.31 % (2961332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.31 % (2961332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.31 % (2961332)CaDiCaL version: 2.1.3
% 10.22/2.31 % (2961332)Termination reason: Instruction limit
% 10.22/2.31 % (2961332)Termination phase: Saturation
% 10.22/2.31 % (2961332)Time elapsed: 0.061 s
% 10.22/2.31 % (2961332)Peak memory usage: 88 MB
% 10.22/2.31 % (2961332)Instructions burned: 120 (million)
% 10.22/2.31 % (2961342)lrs+10_1_sil=8000:sp=occurrence:random_seed=2004087517:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.22/2.31 % (2961343)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3118513244:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.22/2.31 % (2961342)Instruction limit reached!
% 10.22/2.31 % (2961342)------------------------------
% 10.22/2.31 % (2961342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.22/2.31 % (2961342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.22/2.31 % (2961342)CaDiCaL version: 2.1.3
% 10.22/2.31 % (2961342)Termination reason: Instruction limit
% 10.22/2.31 % (2961342)Termination phase: Saturation
% 10.22/2.31 % (2961342)Time elapsed: 0.092 s
% 9.94/2.62 % (2961342)Peak memory usage: 91 MB
% 9.94/2.62 % (2961342)Instructions burned: 287 (million)
% 9.94/2.62 % (2961331)------------------------------
% 9.94/2.62 % (2961331)------------------------------
% 9.94/2.62 % (2961334)------------------------------
% 9.94/2.62 % (2961334)------------------------------
% 9.94/2.62 % (2961343)Instruction limit reached!
% 9.94/2.62 % (2961343)------------------------------
% 9.94/2.62 % (2961343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.62 % (2961343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.62 % (2961343)CaDiCaL version: 2.1.3
% 9.94/2.62 % (2961343)Termination reason: Instruction limit
% 9.94/2.62 % (2961343)Termination phase: Saturation
% 9.94/2.62 % (2961343)Time elapsed: 0.087 s
% 9.94/2.62 % (2961343)Peak memory usage: 89 MB
% 9.94/2.62 % (2961343)Instructions burned: 157 (million)
% 9.94/2.62 % (2961346)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2931983381:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.94/2.62 % (2961347)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=3745629397:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.94/2.62 % (2961348)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1987829342:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 9.94/2.62 % (2961346)Instruction limit reached!
% 9.94/2.62 % (2961346)------------------------------
% 9.94/2.62 % (2961346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.62 % (2961346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.62 % (2961346)CaDiCaL version: 2.1.3
% 9.94/2.62 % (2961346)Termination reason: Instruction limit
% 9.94/2.62 % (2961346)Termination phase: Saturation
% 9.94/2.62 % (2961346)Time elapsed: 0.102 s
% 9.94/2.62 % (2961346)Peak memory usage: 91 MB
% 9.94/2.62 % (2961346)Instructions burned: 325 (million)
% 9.94/2.62 % (2961349)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2257836994:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.94/2.62 % (2961353)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1377809490:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.94/2.62 % (2961347)Instruction limit reached!
% 9.94/2.62 % (2961347)------------------------------
% 9.94/2.62 % (2961347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.62 % (2961347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.62 % (2961347)CaDiCaL version: 2.1.3
% 9.94/2.62 % (2961347)Termination reason: Instruction limit
% 9.94/2.62 % (2961347)Termination phase: Saturation
% 9.94/2.62 % (2961347)Time elapsed: 0.151 s
% 9.94/2.62 % (2961347)Peak memory usage: 91 MB
% 9.94/2.62 % (2961347)Instructions burned: 248 (million)
% 9.94/2.62 % (2961353)Instruction limit reached!
% 9.94/2.62 % (2961353)------------------------------
% 9.94/2.62 % (2961353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.62 % (2961353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.62 % (2961353)CaDiCaL version: 2.1.3
% 9.94/2.62 % (2961353)Termination reason: Instruction limit
% 9.94/2.62 % (2961353)Termination phase: Saturation
% 9.94/2.62 % (2961353)Time elapsed: 0.043 s
% 9.94/2.62 % (2961353)Peak memory usage: 90 MB
% 9.94/2.62 % (2961353)Instructions burned: 114 (million)
% 9.94/2.62 % (2961348)Instruction limit reached!
% 9.94/2.62 % (2961348)------------------------------
% 9.94/2.62 % (2961348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.62 % (2961348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.62 % (2961348)CaDiCaL version: 2.1.3
% 9.94/2.62 % (2961348)Termination reason: Instruction limit
% 9.94/2.62 % (2961348)Termination phase: Saturation
% 9.94/2.62 % (2961348)Time elapsed: 0.164 s
% 9.94/2.62 % (2961348)Peak memory usage: 89 MB
% 9.94/2.62 % (2961348)Instructions burned: 295 (million)
% 9.94/2.62 % (2961330)Refutation not found, incomplete strategy
% 9.94/2.62 % (2961330)------------------------------
% 9.94/2.62 % (2961330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.62 % (2961330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.62 % (2961330)CaDiCaL version: 2.1.3
% 9.94/2.62 % (2961330)Termination reason: Refutation not found, incomplete strategy
% 9.94/2.62 % (2961330)Time elapsed: 0.592 s
% 9.94/2.62 % (2961330)Peak memory usage: 127 MB
% 9.94/2.62 % (2961330)Instructions burned: 883 (million)
% 9.94/2.62 % (2961357)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2749427588:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 9.94/2.62 % (2961357)Refutation not found, incomplete strategy
% 9.94/2.62 % (2961357)------------------------------
% 9.94/2.62 % (2961357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.62 % (2961357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.62 % (2961357)CaDiCaL version: 2.1.3
% 9.94/2.62 % (2961357)Termination reason: Refutation not found, incomplete strategy
% 9.94/2.62 % (2961357)Time elapsed: 0.001 s
% 9.94/2.62 % (2961357)Peak memory usage: 88 MB
% 9.94/2.62 % (2961356)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2718955503:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.94/2.62 % (2961358)lrs+10_1_sil=8000:sp=occurrence:random_seed=2331293378:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 9.94/2.62 % (2961356)Instruction limit reached!
% 9.94/2.62 % (2961356)------------------------------
% 9.94/2.62 % (2961356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.62 % (2961356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.62 % (2961356)CaDiCaL version: 2.1.3
% 9.94/2.62 % (2961356)Termination reason: Instruction limit
% 9.94/2.62 % (2961356)Termination phase: Saturation
% 9.94/2.62 % (2961356)Time elapsed: 0.065 s
% 9.94/2.62 % (2961356)Peak memory usage: 89 MB
% 9.94/2.62 % (2961356)Instructions burned: 129 (million)
% 9.94/2.62 % (2961357)------------------------------
% 9.94/2.62 % (2961357)------------------------------
% 9.94/2.62 % (2961330)------------------------------
% 9.94/2.62 % (2961330)------------------------------
% 9.94/2.62 % (2961363)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2167569208:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 9.94/2.62 % (2961362)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3107556767:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.94/2.62 % (2961362)Refutation not found, incomplete strategy
% 9.94/2.62 % (2961362)------------------------------
% 9.94/2.62 % (2961362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.62 % (2961362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.62 % (2961362)CaDiCaL version: 2.1.3
% 9.94/2.62 % (2961362)Termination reason: Refutation not found, incomplete strategy
% 9.94/2.62 % (2961362)Time elapsed: 0.001 s
% 9.94/2.62 % (2961362)Peak memory usage: 88 MB
% 9.94/2.62 % (2961364)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=379632974:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 9.94/2.62 % (2961364)Refutation not found, incomplete strategy
% 9.94/2.62 % (2961364)------------------------------
% 9.94/2.62 % (2961364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.62 % (2961364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.62 % (2961364)CaDiCaL version: 2.1.3
% 9.94/2.62 % (2961364)Termination reason: Refutation not found, incomplete strategy
% 9.94/2.62 % (2961364)Time elapsed: 0.001 s
% 9.94/2.62 % (2961364)Peak memory usage: 88 MB
% 9.94/2.62 % (2961362)------------------------------
% 9.94/2.62 % (2961362)------------------------------
% 9.94/2.62 % (2961358)Instruction limit reached!
% 9.94/2.62 % (2961358)------------------------------
% 9.94/2.62 % (2961358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.62 % (2961358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.62 % (2961358)CaDiCaL version: 2.1.3
% 9.94/2.62 % (2961358)Termination reason: Instruction limit
% 9.94/2.62 % (2961358)Termination phase: Saturation
% 9.94/2.62 % (2961358)Time elapsed: 0.495 s
% 9.94/2.62 % (2961358)Peak memory usage: 94 MB
% 9.94/2.62 % (2961358)Instructions burned: 908 (million)
% 9.94/2.62 % (2961364)------------------------------
% 9.94/2.62 % (2961364)------------------------------
% 9.94/2.62 % (2961368)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=129798362:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 9.94/2.62 % (2961369)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2892305369:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 9.94/2.62 % (2961328)First to succeed.
% 9.94/2.62 % (2961328)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2961323"
% 9.94/2.62 % (2961370)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=3028971218:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 9.94/2.62 % (2961370)Instruction limit reached!
% 9.94/2.62 % (2961370)------------------------------
% 9.94/2.62 % (2961370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.94/2.62 % (2961370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.94/2.62 % (2961370)CaDiCaL version: 2.1.3
% 9.94/2.62 % (2961370)Termination reason: Instruction limit
% 9.94/2.62 % (2961370)Termination phase: Saturation
% 9.94/2.62 % (2961370)Time elapsed: 0.082 s
% 9.94/2.62 % (2961370)Peak memory usage: 90 MB
% 9.94/2.62 % (2961370)Instructions burned: 126 (million)
% 9.94/2.62 % (2961374)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3027763148:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 9.94/2.62 % (2961328)Refutation found. Thanks to Tanya!
% 9.94/2.62 % SZS status Theorem for theBenchmark
% 9.94/2.62 % SZS output start Proof for theBenchmark
% See solution above
% 13.02/2.82 % (2961328)------------------------------
% 13.02/2.82 % (2961328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.02/2.82 % (2961328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.02/2.82 % (2961328)CaDiCaL version: 2.1.3
% 13.02/2.82 % (2961328)Termination reason: Refutation
% 13.02/2.82 % (2961328)Time elapsed: 1.351 s
% 13.02/2.82 % (2961328)Peak memory usage: 141 MB
% 13.02/2.82 % (2961328)Instructions burned: 2110 (million)
% 13.02/2.82 % (2961328)------------------------------
% 13.02/2.82 % (2961328)------------------------------
% 13.02/2.82 % (2961323)Success in time 1.752 s
% 13.02/2.82 % Vampire exiting
%------------------------------------------------------------------------------