%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE011+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 11:40:37 AM UTC 2026
% Result : Theorem 27.82s 4.40s
% Output : Refutation 27.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 40
% Syntax : Number of formulae : 330 ( 90 unt; 24 def)
% Number of atoms : 836 ( 259 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 917 ( 411 ~; 462 |; 10 &)
% ( 28 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 28 ( 26 usr; 25 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 147 ( 0 sgn 142 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',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/Axioms/KLE001+0.ax',right_distributivity) ).
fof(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(f13,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(f16,axiom,
! [X0] :
( ~ test(X0)
=> c(X0) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_4) ).
fof(f17,axiom,
! [X0,X1] :
( ( test(X0)
& test(X1) )
=> c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+2.ax',test_deMorgan1) ).
fof(f18,axiom,
! [X0,X1] :
( ( test(X0)
& test(X1) )
=> c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+2.ax',test_deMorgan2) ).
fof(f19,conjecture,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> one = addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> one = addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0] :
( c(X0) = zero
| test(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f23,plain,
! [X0,X1] :
( c(addition(X0,X1)) = multiplication(c(X0),c(X1))
| ~ test(X0)
| ~ test(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f24,plain,
! [X0,X1] :
( c(addition(X0,X1)) = multiplication(c(X0),c(X1))
| ~ test(X0)
| ~ test(X1) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( c(multiplication(X0,X1)) = addition(c(X0),c(X1))
| ~ test(X0)
| ~ test(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f26,plain,
! [X0,X1] :
( c(multiplication(X0,X1)) = addition(c(X0),c(X1))
| ~ test(X0)
| ~ test(X1) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
? [X0,X1] :
( one != addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f28,plain,
? [X0,X1] :
( one != addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))
& test(X1)
& test(X0) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f30,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f31,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f32,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f34,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f36,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f38,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f39,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f40,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f41,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f42,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f43,plain,
! [X0,X1] :
( zero = multiplication(X1,X0)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f44,plain,
! [X0,X1] :
( zero = multiplication(X0,X1)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f45,plain,
! [X0,X1] :
( addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f46,plain,
! [X0,X1] :
( ~ test(X0)
| ~ complement(X0,X1)
| c(X0) = X1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f47,plain,
! [X0,X1] :
( ~ test(X0)
| complement(X0,X1)
| c(X0) != X1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f48,plain,
! [X0] :
( test(X0)
| zero = c(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f49,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f50,plain,
! [X0,X1] :
( ~ test(X1)
| ~ test(X0)
| c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f51,plain,
test(sK1),
inference(cnf_transformation,[],[f28]) ).
fof(f52,plain,
test(sK2),
inference(cnf_transformation,[],[f28]) ).
fof(f53,plain,
one != addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2))),
inference(cnf_transformation,[],[f28]) ).
fof(f54,plain,
! [X0] :
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(equality_resolution,[],[f47]) ).
fof(f55,plain,
! [X0] :
( ~ complement(sK0(X0),X0)
| test(X0) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f56,plain,
! [X0,X1] :
( complement(X1,X0)
| ~ test(X0) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f57,plain,
! [X0,X1] :
( zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one
| ~ complement(X1,X0) ),
inference(consistent_polarity_flipping,[],[f45]) ).
fof(f58,plain,
! [X0,X1] :
( complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f59,plain,
! [X0,X1] :
( complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f60,plain,
! [X0,X1] :
( complement(X1,X0)
| addition(X0,X1) = one ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f61,plain,
! [X0] :
( ~ complement(X0,c(X0))
| test(X0) ),
inference(consistent_polarity_flipping,[],[f54]) ).
fof(f62,plain,
! [X0,X1] :
( complement(X0,X1)
| test(X0)
| c(X0) = X1 ),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f63,plain,
! [X0] :
( ~ test(X0)
| zero = c(X0) ),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f64,plain,
! [X0,X1] :
( test(X1)
| test(X0)
| c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
inference(consistent_polarity_flipping,[],[f49]) ).
fof(f65,plain,
! [X0,X1] :
( test(X1)
| test(X0)
| c(multiplication(X0,X1)) = addition(c(X0),c(X1)) ),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f66,plain,
~ test(sK2),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f67,plain,
~ test(sK1),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f69,plain,
! [X0] :
( ~ test(c(X0))
| test(X0) ),
inference(resolution,[],[f61,f56]) ).
fof(f70,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f29,f31]) ).
fof(f73,plain,
one != addition(addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(addition(sK2,c(sK2)),sK1)),multiplication(c(sK1),c(sK2))),
inference(superposition,[],[f53,f29]) ).
fof(f80,plain,
! [X0] :
( test(X0)
| zero = multiplication(X0,sK0(X0)) ),
inference(resolution,[],[f58,f55]) ).
fof(f81,plain,
! [X0] :
( test(X0)
| zero = multiplication(c(X0),X0) ),
inference(resolution,[],[f58,f61]) ).
fof(f84,plain,
! [X0] :
( test(X0)
| zero = multiplication(sK0(X0),X0) ),
inference(resolution,[],[f59,f55]) ).
fof(f86,plain,
! [X0] :
( test(X0)
| one = addition(X0,sK0(X0)) ),
inference(resolution,[],[f60,f55]) ).
fof(f87,plain,
! [X0] :
( one = addition(c(X0),X0)
| test(X0) ),
inference(resolution,[],[f60,f61]) ).
fof(f88,plain,
! [X0] :
( test(X0)
| one = addition(X0,c(X0)) ),
inference(forward_demodulation,[],[f87,f29]) ).
fof(f89,plain,
! [X0] :
( test(sK0(X0))
| c(sK0(X0)) = X0
| test(X0) ),
inference(resolution,[],[f62,f55]) ).
fof(f93,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f30,f32]) ).
fof(f94,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f30,f29]) ).
fof(f99,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X2,X0)),
inference(superposition,[],[f30,f29]) ).
fof(f105,plain,
one != addition(multiplication(addition(sK2,c(sK2)),sK1),addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(c(sK1),c(sK2)))),
inference(superposition,[],[f53,f30]) ).
fof(f108,plain,
one != addition(multiplication(addition(sK2,c(sK2)),sK1),addition(multiplication(c(sK1),c(sK2)),multiplication(addition(sK1,c(sK1)),sK2))),
inference(forward_demodulation,[],[f105,f29]) ).
fof(f140,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f30,f36]) ).
fof(f183,plain,
! [X0] :
( test(X0)
| c(addition(X0,sK1)) = multiplication(c(X0),c(sK1)) ),
inference(resolution,[],[f64,f67]) ).
fof(f184,plain,
! [X0,X1] :
( test(X1)
| c(addition(X1,X0)) = multiplication(c(X1),c(X0))
| zero = c(X0) ),
inference(resolution,[],[f64,f63]) ).
fof(f186,plain,
! [X0] :
( test(X0)
| c(addition(sK1,X0)) = multiplication(c(sK1),c(X0)) ),
inference(resolution,[],[f64,f67]) ).
fof(f199,plain,
! [X0] :
( zero != zero
| zero != multiplication(zero,X0)
| addition(X0,zero) != one
| ~ complement(zero,X0) ),
inference(superposition,[],[f57,f38]) ).
fof(f204,plain,
! [X0] :
( zero != multiplication(zero,X0)
| addition(X0,zero) != one
| ~ complement(zero,X0) ),
inference(trivial_inequality_removal,[],[f199]) ).
fof(f208,plain,
! [X0] :
( addition(X0,zero) != one
| ~ complement(zero,X0) ),
inference(forward_subsumption_resolution,[],[f204,f39]) ).
fof(f211,plain,
! [X0] :
( one != X0
| ~ complement(zero,X0) ),
inference(forward_demodulation,[],[f208,f31]) ).
fof(f216,plain,
c(addition(sK2,sK1)) = multiplication(c(sK2),c(sK1)),
inference(resolution,[],[f183,f66]) ).
fof(f220,plain,
c(addition(sK1,sK2)) = multiplication(c(sK2),c(sK1)),
inference(forward_demodulation,[],[f216,f29]) ).
fof(f234,definition,
( spl3_2
<=> zero = c(sK2) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f235,plain,
( zero = c(sK2)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( zero != c(sK2)
| spl3_2 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f257,definition,
( spl3_5
<=> test(c(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f258,plain,
( ~ test(c(sK2))
| spl3_5 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f283,plain,
! [X0,X1] :
( test(X0)
| test(X1)
| c(multiplication(c(X0),X1)) = addition(c(c(X0)),c(X1)) ),
inference(resolution,[],[f69,f65]) ).
fof(f333,plain,
~ complement(zero,one),
inference(equality_resolution,[],[f211]) ).
fof(f335,plain,
! [X0] :
( test(X0)
| zero = multiplication(c(X0),sK0(c(X0))) ),
inference(resolution,[],[f80,f69]) ).
fof(f337,plain,
zero = multiplication(sK1,sK0(sK1)),
inference(resolution,[],[f80,f67]) ).
fof(f338,plain,
zero = multiplication(sK2,sK0(sK2)),
inference(resolution,[],[f80,f66]) ).
fof(f342,plain,
zero = multiplication(c(sK1),sK1),
inference(resolution,[],[f81,f67]) ).
fof(f345,plain,
! [X0] :
( test(X0)
| zero = multiplication(sK0(c(X0)),c(X0)) ),
inference(resolution,[],[f84,f69]) ).
fof(f347,plain,
zero = multiplication(sK0(sK1),sK1),
inference(resolution,[],[f84,f67]) ).
fof(f348,plain,
zero = multiplication(sK0(sK2),sK2),
inference(resolution,[],[f84,f66]) ).
fof(f362,definition,
( spl3_8
<=> complement(sK0(sK1),sK1) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f363,plain,
( complement(sK0(sK1),sK1)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f364,plain,
( ~ complement(sK0(sK1),sK1)
| spl3_8 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f366,definition,
( spl3_9
<=> one = addition(sK1,sK0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f367,plain,
( one = addition(sK1,sK0(sK1))
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f370,definition,
( spl3_10
<=> zero = multiplication(sK0(sK1),sK1) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
fof(f371,plain,
( zero = multiplication(sK0(sK1),sK1)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f382,definition,
( spl3_11
<=> sK1 = c(sK0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
fof(f384,plain,
( sK1 = c(sK0(sK1))
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f386,definition,
( spl3_12
<=> test(sK0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition]) ).
fof(f387,plain,
( ~ test(sK0(sK1))
| spl3_12 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f396,plain,
! [X0] :
( test(X0)
| one = addition(c(X0),sK0(c(X0))) ),
inference(resolution,[],[f86,f69]) ).
fof(f398,plain,
one = addition(sK1,sK0(sK1)),
inference(resolution,[],[f86,f67]) ).
fof(f399,plain,
one = addition(sK2,sK0(sK2)),
inference(resolution,[],[f86,f66]) ).
fof(f400,plain,
spl3_9,
inference(avatar_split_clause,[],[f398,f366]) ).
fof(f401,plain,
( test(sK1)
| ~ spl3_8 ),
inference(resolution,[],[f363,f55]) ).
fof(f402,plain,
( $false
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f401,f67]) ).
fof(f403,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f402]) ).
fof(f405,plain,
! [X0] :
( one = addition(X0,c(X0))
| zero = c(X0) ),
inference(resolution,[],[f88,f63]) ).
fof(f408,plain,
one = addition(sK1,c(sK1)),
inference(resolution,[],[f88,f67]) ).
fof(f409,plain,
one = addition(sK2,c(sK2)),
inference(resolution,[],[f88,f66]) ).
fof(f412,plain,
( test(sK0(sK1))
| sK1 = c(sK0(sK1))
| spl3_8 ),
inference(resolution,[],[f364,f62]) ).
fof(f417,plain,
( spl3_11
| spl3_12
| spl3_8 ),
inference(avatar_split_clause,[],[f412,f362,f386,f382]) ).
fof(f457,definition,
( spl3_14
<=> one = addition(sK2,sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).
fof(f458,plain,
( one = addition(sK2,sK0(sK2))
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f461,definition,
( spl3_15
<=> zero = multiplication(sK0(sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl3_15])],[avatar_definition]) ).
fof(f462,plain,
( zero = multiplication(sK0(sK2),sK2)
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f479,definition,
( spl3_16
<=> sK2 = c(sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_16])],[avatar_definition]) ).
fof(f481,plain,
( sK2 = c(sK0(sK2))
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f483,definition,
( spl3_17
<=> test(sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_17])],[avatar_definition]) ).
fof(f484,plain,
( ~ test(sK0(sK2))
| spl3_17 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f485,plain,
( test(sK0(sK2))
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f511,plain,
one != addition(multiplication(addition(sK1,c(sK1)),sK2),addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(c(sK1),c(sK2)))),
inference(superposition,[],[f53,f94]) ).
fof(f514,plain,
one != addition(multiplication(addition(sK1,c(sK1)),sK2),addition(multiplication(c(sK1),c(sK2)),multiplication(addition(sK2,c(sK2)),sK1))),
inference(forward_demodulation,[],[f511,f29]) ).
fof(f574,plain,
! [X0,X1] : addition(X1,X0) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f99,f32]) ).
fof(f747,definition,
( spl3_18
<=> complement(sK1,c(sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_18])],[avatar_definition]) ).
fof(f748,plain,
( complement(sK1,c(sK1))
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f749,plain,
( ~ complement(sK1,c(sK1))
| spl3_18 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f755,definition,
( spl3_20
<=> one = addition(sK1,c(sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_20])],[avatar_definition]) ).
fof(f756,plain,
( one = addition(sK1,c(sK1))
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f813,plain,
( one = addition(c(sK1),sK1)
| spl3_18 ),
inference(resolution,[],[f749,f60]) ).
fof(f818,plain,
( test(sK1)
| ~ spl3_18 ),
inference(resolution,[],[f748,f61]) ).
fof(f819,plain,
( $false
| ~ spl3_18 ),
inference(forward_subsumption_resolution,[],[f818,f67]) ).
fof(f820,plain,
~ spl3_18,
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f965,definition,
( spl3_21
<=> complement(sK2,c(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_21])],[avatar_definition]) ).
fof(f966,plain,
( complement(sK2,c(sK2))
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f967,plain,
( ~ complement(sK2,c(sK2))
| spl3_21 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f973,definition,
( spl3_23
<=> one = addition(sK2,c(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_23])],[avatar_definition]) ).
fof(f974,plain,
( one = addition(sK2,c(sK2))
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f978,plain,
( one = addition(c(sK2),sK2)
| spl3_21 ),
inference(resolution,[],[f967,f60]) ).
fof(f987,plain,
( test(sK2)
| ~ spl3_21 ),
inference(resolution,[],[f966,f61]) ).
fof(f988,plain,
( $false
| ~ spl3_21 ),
inference(forward_subsumption_resolution,[],[f987,f66]) ).
fof(f989,plain,
~ spl3_21,
inference(avatar_contradiction_clause,[],[f988]) ).
fof(f1145,plain,
! [X0,X1] :
( c(addition(X0,X1)) = multiplication(c(X0),c(X1))
| zero = c(X1)
| zero = c(X0) ),
inference(resolution,[],[f184,f63]) ).
fof(f1163,plain,
spl3_10,
inference(avatar_split_clause,[],[f347,f370]) ).
fof(f1170,plain,
spl3_15,
inference(avatar_split_clause,[],[f348,f461]) ).
fof(f1198,plain,
! [X2,X0,X1] : addition(multiplication(X0,X2),multiplication(X0,X1)) = addition(multiplication(X0,addition(X2,X1)),multiplication(X0,X1)),
inference(superposition,[],[f140,f32]) ).
fof(f1244,plain,
! [X2,X0,X1] : multiplication(X0,addition(X2,X1)) = addition(multiplication(X0,addition(X2,X1)),multiplication(X0,X1)),
inference(forward_demodulation,[],[f1198,f36]) ).
fof(f1411,plain,
spl3_14,
inference(avatar_split_clause,[],[f399,f457]) ).
fof(f1412,plain,
spl3_20,
inference(avatar_split_clause,[],[f408,f755]) ).
fof(f1800,plain,
spl3_23,
inference(avatar_split_clause,[],[f409,f973]) ).
fof(f1802,plain,
( one = addition(sK1,one)
| ~ spl3_9 ),
inference(superposition,[],[f93,f367]) ).
fof(f1889,definition,
( spl3_27
<=> zero = c(sK1) ),
introduced(definition,[new_symbols(definition,[spl3_27])],[avatar_definition]) ).
fof(f1890,plain,
( zero = c(sK1)
| ~ spl3_27 ),
inference(avatar_component_clause,[],[f1889]) ).
fof(f1891,plain,
( zero != c(sK1)
| spl3_27 ),
inference(avatar_component_clause,[],[f1889]) ).
fof(f1908,plain,
( zero != zero
| zero != multiplication(sK1,sK0(sK1))
| one != addition(sK0(sK1),sK1)
| ~ complement(sK1,sK0(sK1))
| ~ spl3_10 ),
inference(superposition,[],[f57,f371]) ).
fof(f1928,plain,
( zero != multiplication(sK1,sK0(sK1))
| one != addition(sK0(sK1),sK1)
| ~ complement(sK1,sK0(sK1))
| ~ spl3_10 ),
inference(trivial_inequality_removal,[],[f1908]) ).
fof(f1948,plain,
( one != addition(sK0(sK1),sK1)
| ~ complement(sK1,sK0(sK1))
| ~ spl3_10 ),
inference(forward_subsumption_resolution,[],[f1928,f337]) ).
fof(f1965,plain,
( one != addition(sK1,sK0(sK1))
| ~ complement(sK1,sK0(sK1))
| ~ spl3_10 ),
inference(forward_demodulation,[],[f1948,f29]) ).
fof(f1967,plain,
( ~ complement(sK1,sK0(sK1))
| ~ spl3_9
| ~ spl3_10 ),
inference(forward_subsumption_resolution,[],[f1965,f367]) ).
fof(f1968,plain,
( test(sK1)
| c(sK1) = sK0(sK1)
| ~ spl3_9
| ~ spl3_10 ),
inference(resolution,[],[f1967,f62]) ).
fof(f1972,plain,
( ~ test(sK0(sK1))
| ~ spl3_9
| ~ spl3_10 ),
inference(resolution,[],[f1967,f56]) ).
fof(f1973,plain,
( ~ spl3_12
| ~ spl3_9
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f1972,f370,f366,f386]) ).
fof(f1974,plain,
( c(sK1) = sK0(sK1)
| ~ spl3_9
| ~ spl3_10 ),
inference(forward_subsumption_resolution,[],[f1968,f67]) ).
fof(f2020,definition,
( spl3_32
<=> zero = c(addition(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_32])],[avatar_definition]) ).
fof(f2021,plain,
( zero = c(addition(sK1,sK2))
| ~ spl3_32 ),
inference(avatar_component_clause,[],[f2020]) ).
fof(f2076,plain,
( c(addition(sK1,sK0(sK1))) = multiplication(c(sK1),c(sK0(sK1)))
| spl3_12 ),
inference(resolution,[],[f387,f186]) ).
fof(f2095,plain,
( multiplication(c(sK1),sK1) = c(addition(sK1,sK0(sK1)))
| ~ spl3_11
| spl3_12 ),
inference(forward_demodulation,[],[f2076,f384]) ).
fof(f2111,plain,
( multiplication(c(sK1),sK1) = c(one)
| ~ spl3_9
| ~ spl3_11
| spl3_12 ),
inference(forward_demodulation,[],[f2095,f367]) ).
fof(f2115,plain,
( zero = c(one)
| ~ spl3_9
| ~ spl3_11
| spl3_12 ),
inference(forward_demodulation,[],[f2111,f342]) ).
fof(f2137,plain,
( ~ test(zero)
| test(one)
| ~ spl3_9
| ~ spl3_11
| spl3_12 ),
inference(superposition,[],[f69,f2115]) ).
fof(f2140,definition,
( spl3_34
<=> test(one) ),
introduced(definition,[new_symbols(definition,[spl3_34])],[avatar_definition]) ).
fof(f2149,definition,
( spl3_36
<=> test(zero) ),
introduced(definition,[new_symbols(definition,[spl3_36])],[avatar_definition]) ).
fof(f2151,plain,
( ~ test(zero)
| spl3_36 ),
inference(avatar_component_clause,[],[f2149]) ).
fof(f2152,plain,
( spl3_34
| ~ spl3_36
| ~ spl3_9
| ~ spl3_11
| spl3_12 ),
inference(avatar_split_clause,[],[f2137,f386,f382,f366,f2149,f2140]) ).
fof(f2700,plain,
( ~ complement(sK2,zero)
| ~ spl3_2
| spl3_21 ),
inference(superposition,[],[f967,f235]) ).
fof(f2778,plain,
( one = addition(zero,sK2)
| ~ spl3_2
| spl3_21 ),
inference(resolution,[],[f2700,f60]) ).
fof(f3114,plain,
( one != addition(multiplication(addition(sK1,c(sK1)),sK2),addition(multiplication(c(sK1),zero),multiplication(addition(sK2,zero),sK1)))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f514,f235]) ).
fof(f3115,plain,
( one != addition(multiplication(addition(sK1,c(sK1)),sK2),addition(multiplication(c(sK1),zero),multiplication(sK2,sK1)))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f3114,f31]) ).
fof(f3116,plain,
( one != addition(multiplication(addition(sK1,c(sK1)),sK2),addition(multiplication(sK2,sK1),multiplication(c(sK1),zero)))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f3115,f29]) ).
fof(f3117,plain,
( one != addition(multiplication(addition(sK1,c(sK1)),sK2),addition(multiplication(sK2,sK1),zero))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f3116,f38]) ).
fof(f3118,plain,
( one != addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(sK2,sK1))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f3117,f31]) ).
fof(f3127,plain,
( zero = sK0(sK1)
| ~ spl3_9
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f1974,f1890]) ).
fof(f3147,plain,
( test(zero)
| one = c(zero) ),
inference(resolution,[],[f333,f62]) ).
fof(f3151,plain,
~ test(one),
inference(resolution,[],[f333,f56]) ).
fof(f3154,plain,
( one = c(zero)
| spl3_36 ),
inference(forward_subsumption_resolution,[],[f3147,f2151]) ).
fof(f3155,plain,
~ spl3_34,
inference(avatar_split_clause,[],[f3151,f2140]) ).
fof(f3396,plain,
( addition(sK1,one) = addition(sK0(sK1),sK1)
| ~ spl3_9 ),
inference(superposition,[],[f574,f367]) ).
fof(f3440,plain,
( addition(sK1,one) = addition(zero,sK1)
| ~ spl3_9
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3396,f3127]) ).
fof(f3469,plain,
( sK1 = addition(sK1,one)
| ~ spl3_9
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3440,f70]) ).
fof(f3480,plain,
( one = sK1
| ~ spl3_9
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f3469,f1802]) ).
fof(f4291,plain,
zero = multiplication(c(sK2),sK0(c(sK2))),
inference(resolution,[],[f335,f66]) ).
fof(f4502,plain,
zero = multiplication(sK0(c(sK2)),c(sK2)),
inference(resolution,[],[f345,f66]) ).
fof(f4666,plain,
one = addition(c(sK2),sK0(c(sK2))),
inference(resolution,[],[f396,f66]) ).
fof(f4694,plain,
( one != addition(multiplication(one,sK1),addition(multiplication(c(sK1),c(sK2)),multiplication(addition(sK1,c(sK1)),sK2)))
| zero = c(sK2) ),
inference(superposition,[],[f108,f405]) ).
fof(f5927,plain,
( one = sK2
| ~ spl3_2
| spl3_21 ),
inference(superposition,[],[f2778,f70]) ).
fof(f6070,plain,
( one != addition(multiplication(one,sK1),addition(multiplication(zero,c(sK2)),multiplication(addition(sK1,zero),sK2)))
| zero = c(sK2)
| ~ spl3_27 ),
inference(forward_demodulation,[],[f4694,f1890]) ).
fof(f6146,plain,
( one != addition(multiplication(one,sK1),addition(multiplication(zero,c(sK2)),multiplication(sK1,sK2)))
| zero = c(sK2)
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6070,f31]) ).
fof(f6207,plain,
( one != addition(multiplication(one,sK1),addition(multiplication(sK1,sK2),multiplication(zero,c(sK2))))
| zero = c(sK2)
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6146,f29]) ).
fof(f6241,plain,
( one != addition(multiplication(one,sK1),addition(multiplication(sK1,sK2),zero))
| zero = c(sK2)
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6207,f39]) ).
fof(f6265,plain,
( one != addition(multiplication(one,sK1),multiplication(sK1,sK2))
| zero = c(sK2)
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6241,f31]) ).
fof(f6280,plain,
( one != addition(multiplication(one,one),multiplication(one,sK2))
| zero = c(sK2)
| ~ spl3_9
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6265,f3480]) ).
fof(f6298,plain,
( one != addition(multiplication(one,one),sK2)
| zero = c(sK2)
| ~ spl3_9
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6280,f35]) ).
fof(f6315,plain,
( one != addition(one,sK2)
| zero = c(sK2)
| ~ spl3_9
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_demodulation,[],[f6298,f34]) ).
fof(f6325,definition,
( spl3_70
<=> one = addition(one,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_70])],[avatar_definition]) ).
fof(f7911,plain,
( sK2 = c(sK0(sK2))
| test(sK2)
| spl3_17 ),
inference(resolution,[],[f484,f89]) ).
fof(f7953,plain,
( sK2 = c(sK0(sK2))
| spl3_17 ),
inference(forward_subsumption_resolution,[],[f7911,f66]) ).
fof(f7955,plain,
( spl3_16
| spl3_17 ),
inference(avatar_split_clause,[],[f7953,f483,f479]) ).
fof(f22807,plain,
( sK1 = c(c(sK1))
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(superposition,[],[f384,f1974]) ).
fof(f31138,plain,
( zero != zero
| zero != multiplication(sK2,sK0(sK2))
| one != addition(sK0(sK2),sK2)
| ~ complement(sK2,sK0(sK2))
| ~ spl3_15 ),
inference(superposition,[],[f57,f462]) ).
fof(f31171,plain,
( zero != multiplication(sK2,sK0(sK2))
| one != addition(sK0(sK2),sK2)
| ~ complement(sK2,sK0(sK2))
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f31138]) ).
fof(f31202,plain,
( one != addition(sK0(sK2),sK2)
| ~ complement(sK2,sK0(sK2))
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f31171,f338]) ).
fof(f31229,plain,
( one != addition(sK2,sK0(sK2))
| ~ complement(sK2,sK0(sK2))
| ~ spl3_15 ),
inference(forward_demodulation,[],[f31202,f29]) ).
fof(f31237,plain,
( ~ complement(sK2,sK0(sK2))
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f31229,f458]) ).
fof(f32262,plain,
( test(sK2)
| c(sK2) = sK0(sK2)
| ~ spl3_14
| ~ spl3_15 ),
inference(resolution,[],[f31237,f62]) ).
fof(f32267,plain,
( c(sK2) = sK0(sK2)
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f32262,f66]) ).
fof(f32272,plain,
( sK2 = c(c(sK2))
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16 ),
inference(superposition,[],[f481,f32267]) ).
fof(f46426,plain,
( addition(c(sK2),sK2) = addition(sK2,one)
| ~ spl3_23 ),
inference(superposition,[],[f574,f974]) ).
fof(f46499,plain,
( addition(c(sK2),sK2) = addition(one,sK2)
| ~ spl3_23 ),
inference(forward_demodulation,[],[f46426,f29]) ).
fof(f47990,plain,
! [X0] :
( test(X0)
| c(multiplication(c(sK2),X0)) = addition(c(c(sK2)),c(X0)) ),
inference(resolution,[],[f283,f66]) ).
fof(f48011,plain,
( ! [X0] :
( test(X0)
| addition(sK2,c(X0)) = c(multiplication(c(sK2),X0)) )
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16 ),
inference(forward_demodulation,[],[f47990,f32272]) ).
fof(f59352,plain,
( ! [X0] : multiplication(X0,one) = addition(multiplication(X0,one),multiplication(X0,sK1))
| spl3_18 ),
inference(superposition,[],[f1244,f813]) ).
fof(f59367,plain,
( ! [X0] : addition(X0,multiplication(X0,sK1)) = X0
| spl3_18 ),
inference(forward_demodulation,[],[f59352,f34]) ).
fof(f75128,plain,
( one != addition(addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(addition(sK2,c(sK2)),sK1)),c(addition(sK1,sK2)))
| zero = c(sK2)
| zero = c(sK1) ),
inference(superposition,[],[f73,f1145]) ).
fof(f75129,plain,
( one != addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),c(addition(sK1,sK2)))
| zero = c(sK2)
| zero = c(sK1) ),
inference(superposition,[],[f53,f1145]) ).
fof(f75267,plain,
( one != addition(addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(addition(sK2,c(sK2)),sK1)),c(addition(sK1,sK2)))
| zero = c(sK1)
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f75128,f236]) ).
fof(f75291,plain,
( one != addition(addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(addition(sK2,c(sK2)),sK1)),c(addition(sK1,sK2)))
| spl3_2
| spl3_27 ),
inference(forward_subsumption_resolution,[],[f75267,f1891]) ).
fof(f164202,plain,
( zero != zero
| zero != multiplication(sK0(c(sK2)),c(sK2))
| one != addition(c(sK2),sK0(c(sK2)))
| ~ complement(sK0(c(sK2)),c(sK2)) ),
inference(superposition,[],[f57,f4291]) ).
fof(f164403,plain,
( zero != multiplication(sK0(c(sK2)),c(sK2))
| one != addition(c(sK2),sK0(c(sK2)))
| ~ complement(sK0(c(sK2)),c(sK2)) ),
inference(trivial_inequality_removal,[],[f164202]) ).
fof(f164591,definition,
( spl3_111
<=> complement(sK0(c(sK2)),c(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_111])],[avatar_definition]) ).
fof(f164593,plain,
( ~ complement(sK0(c(sK2)),c(sK2))
| spl3_111 ),
inference(avatar_component_clause,[],[f164591]) ).
fof(f164595,definition,
( spl3_112
<=> one = addition(c(sK2),sK0(c(sK2))) ),
introduced(definition,[new_symbols(definition,[spl3_112])],[avatar_definition]) ).
fof(f164599,definition,
( spl3_113
<=> zero = multiplication(sK0(c(sK2)),c(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_113])],[avatar_definition]) ).
fof(f164602,plain,
( ~ spl3_111
| ~ spl3_112
| ~ spl3_113 ),
inference(avatar_split_clause,[],[f164403,f164599,f164595,f164591]) ).
fof(f164809,plain,
spl3_113,
inference(avatar_split_clause,[],[f4502,f164599]) ).
fof(f164814,plain,
( ~ test(c(sK2))
| spl3_111 ),
inference(resolution,[],[f164593,f56]) ).
fof(f164884,plain,
( ~ spl3_5
| spl3_111 ),
inference(avatar_split_clause,[],[f164814,f164591,f257]) ).
fof(f164905,plain,
spl3_112,
inference(avatar_split_clause,[],[f4666,f164595]) ).
fof(f167692,plain,
( one != addition(one,sK2)
| spl3_2
| ~ spl3_9
| ~ spl3_10
| ~ spl3_27 ),
inference(forward_subsumption_resolution,[],[f6315,f236]) ).
fof(f167776,plain,
( one = addition(one,sK2)
| spl3_21
| ~ spl3_23 ),
inference(forward_demodulation,[],[f46499,f978]) ).
fof(f167971,plain,
( ~ spl3_70
| spl3_2
| ~ spl3_9
| ~ spl3_10
| ~ spl3_27 ),
inference(avatar_split_clause,[],[f167692,f1889,f370,f366,f234,f6325]) ).
fof(f168009,plain,
( spl3_70
| spl3_21
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f167776,f973,f965,f6325]) ).
fof(f168196,definition,
( spl3_139
<=> one = addition(addition(sK1,sK2),zero) ),
introduced(definition,[new_symbols(definition,[spl3_139])],[avatar_definition]) ).
fof(f168198,plain,
( one != addition(addition(sK1,sK2),zero)
| spl3_139 ),
inference(avatar_component_clause,[],[f168196]) ).
fof(f168646,plain,
( one != addition(sK2,addition(sK1,zero))
| spl3_139 ),
inference(superposition,[],[f168198,f94]) ).
fof(f168653,plain,
( one != addition(sK2,sK1)
| spl3_139 ),
inference(forward_demodulation,[],[f168646,f31]) ).
fof(f194740,plain,
( one != addition(addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(one,sK1)),c(addition(sK1,sK2)))
| spl3_2
| ~ spl3_23
| spl3_27 ),
inference(forward_demodulation,[],[f75291,f974]) ).
fof(f194766,plain,
( one != addition(addition(multiplication(one,sK1),multiplication(addition(sK1,c(sK1)),sK2)),c(addition(sK1,sK2)))
| spl3_2
| ~ spl3_23
| spl3_27 ),
inference(forward_demodulation,[],[f194740,f29]) ).
fof(f194787,plain,
( one != addition(addition(multiplication(one,sK1),multiplication(one,sK2)),c(addition(sK1,sK2)))
| spl3_2
| ~ spl3_20
| ~ spl3_23
| spl3_27 ),
inference(forward_demodulation,[],[f194766,f756]) ).
fof(f194794,plain,
( one != addition(multiplication(one,addition(sK1,sK2)),c(addition(sK1,sK2)))
| spl3_2
| ~ spl3_20
| ~ spl3_23
| spl3_27 ),
inference(forward_demodulation,[],[f194787,f36]) ).
fof(f194798,plain,
( one != addition(addition(sK1,sK2),c(addition(sK1,sK2)))
| spl3_2
| ~ spl3_20
| ~ spl3_23
| spl3_27 ),
inference(forward_demodulation,[],[f194794,f35]) ).
fof(f194819,plain,
( one != one
| zero = c(addition(sK1,sK2))
| spl3_2
| ~ spl3_20
| ~ spl3_23
| spl3_27 ),
inference(superposition,[],[f194798,f405]) ).
fof(f194820,plain,
( zero = c(addition(sK1,sK2))
| spl3_2
| ~ spl3_20
| ~ spl3_23
| spl3_27 ),
inference(trivial_inequality_removal,[],[f194819]) ).
fof(f194864,plain,
( spl3_32
| spl3_2
| ~ spl3_20
| ~ spl3_23
| spl3_27 ),
inference(avatar_split_clause,[],[f194820,f1889,f973,f755,f234,f2020]) ).
fof(f217858,plain,
( addition(sK2,c(sK0(sK1))) = c(multiplication(c(sK2),sK0(sK1)))
| spl3_12
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16 ),
inference(resolution,[],[f48011,f387]) ).
fof(f217866,plain,
( addition(sK2,c(c(sK1))) = c(multiplication(c(sK2),c(sK1)))
| ~ spl3_9
| ~ spl3_10
| spl3_12
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16 ),
inference(forward_demodulation,[],[f217858,f1974]) ).
fof(f217873,plain,
( addition(sK2,c(c(sK1))) = c(c(addition(sK1,sK2)))
| ~ spl3_9
| ~ spl3_10
| spl3_12
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16 ),
inference(forward_demodulation,[],[f217866,f220]) ).
fof(f217879,plain,
( c(zero) = addition(sK2,c(c(sK1)))
| ~ spl3_9
| ~ spl3_10
| spl3_12
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f217873,f2021]) ).
fof(f217884,plain,
( addition(sK2,sK1) = c(zero)
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| spl3_12
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16
| ~ spl3_32 ),
inference(forward_demodulation,[],[f217879,f22807]) ).
fof(f217886,plain,
( one = addition(sK2,sK1)
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| spl3_12
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16
| ~ spl3_32
| spl3_36 ),
inference(forward_demodulation,[],[f217884,f3154]) ).
fof(f217889,plain,
( $false
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| spl3_12
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16
| ~ spl3_32
| spl3_36
| spl3_139 ),
inference(forward_subsumption_resolution,[],[f217886,f168653]) ).
fof(f217890,plain,
( ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| spl3_12
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16
| ~ spl3_32
| spl3_36
| spl3_139 ),
inference(avatar_contradiction_clause,[],[f217889]) ).
fof(f217891,plain,
( one != addition(multiplication(one,sK2),multiplication(sK2,sK1))
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f3118,f756]) ).
fof(f217994,plain,
( one != addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),c(addition(sK1,sK2)))
| zero = c(sK2)
| spl3_27 ),
inference(forward_subsumption_resolution,[],[f75129,f1891]) ).
fof(f218134,plain,
( one != addition(sK2,multiplication(sK2,sK1))
| ~ spl3_2
| ~ spl3_20 ),
inference(forward_demodulation,[],[f217891,f35]) ).
fof(f218171,plain,
( one != addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),zero)
| zero = c(sK2)
| spl3_27
| ~ spl3_32 ),
inference(forward_demodulation,[],[f217994,f2021]) ).
fof(f218214,plain,
( one != addition(addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(addition(sK2,c(sK2)),sK1)),zero)
| zero = c(sK2)
| spl3_27
| ~ spl3_32 ),
inference(forward_demodulation,[],[f218171,f29]) ).
fof(f218230,plain,
( one != addition(addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(one,sK1)),zero)
| zero = c(sK2)
| ~ spl3_23
| spl3_27
| ~ spl3_32 ),
inference(forward_demodulation,[],[f218214,f974]) ).
fof(f218243,plain,
( one != addition(addition(multiplication(one,sK1),multiplication(addition(sK1,c(sK1)),sK2)),zero)
| zero = c(sK2)
| ~ spl3_23
| spl3_27
| ~ spl3_32 ),
inference(forward_demodulation,[],[f218230,f29]) ).
fof(f218250,plain,
( one != addition(addition(multiplication(one,sK1),multiplication(one,sK2)),zero)
| zero = c(sK2)
| ~ spl3_20
| ~ spl3_23
| spl3_27
| ~ spl3_32 ),
inference(forward_demodulation,[],[f218243,f756]) ).
fof(f218254,plain,
( one != addition(multiplication(one,addition(sK1,sK2)),zero)
| zero = c(sK2)
| ~ spl3_20
| ~ spl3_23
| spl3_27
| ~ spl3_32 ),
inference(forward_demodulation,[],[f218250,f36]) ).
fof(f218258,plain,
( one != addition(addition(sK1,sK2),zero)
| zero = c(sK2)
| ~ spl3_20
| ~ spl3_23
| spl3_27
| ~ spl3_32 ),
inference(forward_demodulation,[],[f218254,f35]) ).
fof(f218261,plain,
( spl3_2
| ~ spl3_139
| ~ spl3_20
| ~ spl3_23
| spl3_27
| ~ spl3_32 ),
inference(avatar_split_clause,[],[f218258,f2020,f1889,f973,f755,f168196,f234]) ).
fof(f218459,plain,
( one != addition(one,multiplication(one,sK1))
| ~ spl3_2
| ~ spl3_20
| spl3_21 ),
inference(superposition,[],[f218134,f5927]) ).
fof(f218460,plain,
( $false
| ~ spl3_2
| spl3_18
| ~ spl3_20
| spl3_21 ),
inference(forward_subsumption_resolution,[],[f218459,f59367]) ).
fof(f218461,plain,
( ~ spl3_2
| spl3_18
| ~ spl3_20
| spl3_21 ),
inference(avatar_contradiction_clause,[],[f218460]) ).
fof(f218825,plain,
( test(c(sK2))
| ~ spl3_14
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_demodulation,[],[f485,f32267]) ).
fof(f218962,plain,
( $false
| spl3_5
| ~ spl3_14
| ~ spl3_15
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f218825,f258]) ).
fof(f218963,plain,
( spl3_5
| ~ spl3_14
| ~ spl3_15
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f218962]) ).
cnf(s9,plain,
spl3_9,
inference(sat_conversion,[],[f400]) ).
cnf(s10,plain,
~ spl3_8,
inference(sat_conversion,[],[f403]) ).
cnf(s16,plain,
( spl3_8
| spl3_11
| spl3_12 ),
inference(sat_conversion,[],[f417]) ).
cnf(s30,plain,
~ spl3_18,
inference(sat_conversion,[],[f820]) ).
cnf(s35,plain,
~ spl3_21,
inference(sat_conversion,[],[f989]) ).
cnf(s38,plain,
spl3_10,
inference(sat_conversion,[],[f1163]) ).
cnf(s39,plain,
spl3_15,
inference(sat_conversion,[],[f1170]) ).
cnf(s42,plain,
spl3_14,
inference(sat_conversion,[],[f1411]) ).
cnf(s43,plain,
spl3_20,
inference(sat_conversion,[],[f1412]) ).
cnf(s44,plain,
spl3_23,
inference(sat_conversion,[],[f1800]) ).
cnf(s47,plain,
( ~ spl3_9
| ~ spl3_10
| ~ spl3_12 ),
inference(sat_conversion,[],[f1973]) ).
cnf(s51,plain,
( ~ spl3_9
| ~ spl3_11
| spl3_12
| spl3_34
| ~ spl3_36 ),
inference(sat_conversion,[],[f2152]) ).
cnf(s98,plain,
~ spl3_34,
inference(sat_conversion,[],[f3155]) ).
cnf(s234,plain,
( spl3_16
| spl3_17 ),
inference(sat_conversion,[],[f7955]) ).
cnf(s323,plain,
( ~ spl3_111
| ~ spl3_112
| ~ spl3_113 ),
inference(sat_conversion,[],[f164602]) ).
cnf(s327,plain,
spl3_113,
inference(sat_conversion,[],[f164809]) ).
cnf(s343,plain,
( ~ spl3_5
| spl3_111 ),
inference(sat_conversion,[],[f164884]) ).
cnf(s347,plain,
spl3_112,
inference(sat_conversion,[],[f164905]) ).
cnf(s391,plain,
( spl3_2
| ~ spl3_9
| ~ spl3_10
| ~ spl3_27
| ~ spl3_70 ),
inference(sat_conversion,[],[f167971]) ).
cnf(s392,plain,
( spl3_21
| ~ spl3_23
| spl3_70 ),
inference(sat_conversion,[],[f168009]) ).
cnf(s476,plain,
( spl3_2
| ~ spl3_20
| ~ spl3_23
| spl3_27
| spl3_32 ),
inference(sat_conversion,[],[f194864]) ).
cnf(s656,plain,
( ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| spl3_12
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16
| ~ spl3_32
| spl3_36
| spl3_139 ),
inference(sat_conversion,[],[f217890]) ).
cnf(s692,plain,
( spl3_2
| ~ spl3_20
| ~ spl3_23
| spl3_27
| ~ spl3_32
| ~ spl3_139 ),
inference(sat_conversion,[],[f218261]) ).
cnf(s696,plain,
( ~ spl3_2
| spl3_18
| ~ spl3_20
| spl3_21 ),
inference(sat_conversion,[],[f218461]) ).
cnf(s780,plain,
( spl3_5
| ~ spl3_14
| ~ spl3_15
| ~ spl3_17 ),
inference(sat_conversion,[],[f218963]) ).
cnf(s843,plain,
~ spl3_111,
inference(rat,[],[s323,s327,s347]) ).
cnf(s844,plain,
~ spl3_5,
inference(rat,[],[s343,s843]) ).
cnf(s852,plain,
( ~ spl3_9
| ~ spl3_11
| spl3_12
| ~ spl3_36 ),
inference(rat,[],[s51,s98]) ).
cnf(s863,plain,
~ spl3_17,
inference(rat,[],[s780,s42,s844,s39]) ).
cnf(s864,plain,
spl3_16,
inference(rat,[],[s234,s863]) ).
cnf(s865,plain,
spl3_70,
inference(rat,[],[s392,s44,s35]) ).
cnf(s867,plain,
~ spl3_2,
inference(rat,[],[s696,s35,s43,s30]) ).
cnf(s925,plain,
~ spl3_27,
inference(rat,[],[s391,s865,s867,s38,s9]) ).
cnf(s928,plain,
~ spl3_12,
inference(rat,[],[s47,s38,s9]) ).
cnf(s937,plain,
spl3_32,
inference(rat,[],[s476,s867,s43,s44,s925]) ).
cnf(s939,plain,
spl3_11,
inference(rat,[],[s16,s10,s928]) ).
cnf(s950,plain,
~ spl3_139,
inference(rat,[],[s692,s925,s867,s43,s44,s937]) ).
cnf(s953,plain,
~ spl3_36,
inference(rat,[],[s852,s928,s9,s939]) ).
cnf(s955,plain,
$false,
inference(rat,[],[s656,s950,s928,s937,s864,s39,s42,s9,s38,s953,s939]) ).
fof(f219114,plain,
$false,
inference(avatar_sat_refutation,[],[s955]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE011+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n009.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 12:58:30 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.97/2.83 % (2014349)Will run a generic schedule for satisfiability detection.
% 15.97/2.83 % (2014355)% WARNING: option uhcvi not known.
% 15.97/2.83 % (2014355)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3295881960:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.97/2.83 % (2014356)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4091338503:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.97/2.83 % (2014354)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2118715545_2999 on theBenchmark for (2999ds/0Mi)
% 15.97/2.83 % (2014358)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1161093738:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.97/2.83 % (2014357)dis+10_1_sil=32000:sp=arity:random_seed=3213692135:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.97/2.83 % TRYING [1]
% 15.97/2.83 % TRYING [2]
% 15.97/2.83 % TRYING [3]
% 15.97/2.83 % (2014359)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=558302448:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.97/2.83 % (2014360)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1063741281:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.97/2.83 % TRYING [4]
% 15.97/2.83 % TRYING [5]
% 15.97/2.83 % (2014357)Instruction limit reached!
% 15.97/2.83 % (2014357)------------------------------
% 15.97/2.83 % (2014357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/2.83 % (2014357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/2.83 % (2014357)CaDiCaL version: 2.1.3
% 15.97/2.83 % (2014357)Termination reason: Instruction limit
% 15.97/2.83 % (2014357)Termination phase: Saturation
% 15.97/2.83 % (2014357)Time elapsed: 0.062 s
% 15.97/2.83 % (2014357)Peak memory usage: 13 MB
% 15.97/2.83 % (2014357)Instructions burned: 104 (million)
% 15.97/2.83 % (2014358)Instruction limit reached!
% 15.97/2.83 % (2014358)------------------------------
% 15.97/2.83 % (2014358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/2.83 % (2014358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/2.83 % (2014358)CaDiCaL version: 2.1.3
% 15.97/2.83 % (2014358)Termination reason: Instruction limit
% 15.97/2.83 % (2014358)Termination phase: Saturation
% 15.97/2.83 % (2014358)Time elapsed: 0.071 s
% 15.97/2.83 % (2014358)Peak memory usage: 13 MB
% 15.97/2.83 % (2014358)Instructions burned: 117 (million)
% 15.97/2.83 % TRYING [6]
% 15.97/2.83 % (2014377)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1799844224:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.97/2.83 % TRYING [1]
% 15.97/2.83 % TRYING [2]
% 15.97/2.83 % TRYING [3]
% 15.97/2.83 % (2014359)Instruction limit reached!
% 15.97/2.83 % (2014359)------------------------------
% 15.97/2.83 % (2014359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/2.83 % (2014359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/2.83 % (2014359)CaDiCaL version: 2.1.3
% 15.97/2.83 % (2014359)Termination reason: Instruction limit
% 15.97/2.83 % (2014359)Termination phase: Saturation
% 15.97/2.83 % (2014359)Time elapsed: 0.082 s
% 15.97/2.83 % (2014359)Peak memory usage: 13 MB
% 15.97/2.83 % (2014359)Instructions burned: 132 (million)
% 15.97/2.83 % (2014380)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1352659167:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.97/2.83 % TRYING [4]
% 15.97/2.84 % (2014386)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3536571958:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.97/2.84 % (2014360)Instruction limit reached!
% 15.97/2.84 % (2014360)------------------------------
% 15.97/2.84 % (2014360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.97/2.84 % (2014360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/2.84 % (2014360)CaDiCaL version: 2.1.3
% 15.97/2.84 % (2014360)Termination reason: Instruction limit
% 15.97/2.84 % (2014360)Termination phase: Saturation
% 15.97/2.84 % (2014360)Time elapsed: 0.106 s
% 15.97/2.84 % (2014360)Peak memory usage: 13 MB
% 15.97/2.84 % (2014360)Instructions burned: 160 (million)
% 15.97/2.84 % TRYING [5]
% 15.97/2.84 % (2014395)ott-21_1_sil=16000:fs=off:random_seed=3467619436:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.97/2.84 % (2014380)Instruction limit reached!
% 15.97/2.84 % (2014380)------------------------------
% 15.97/2.84 % (2014380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.82/4.40 % (2014380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.82/4.40 % (2014380)CaDiCaL version: 2.1.3
% 27.82/4.40 % (2014380)Termination reason: Instruction limit
% 27.82/4.40 % (2014380)Termination phase: Saturation
% 27.82/4.40 % (2014380)Time elapsed: 0.085 s
% 27.82/4.40 % (2014380)Peak memory usage: 13 MB
% 27.82/4.40 % (2014380)Instructions burned: 131 (million)
% 27.82/4.40 % TRYING [6]
% 27.82/4.40 % (2014416)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1069015542:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 27.82/4.40 % (2014395)Instruction limit reached!
% 27.82/4.40 % (2014395)------------------------------
% 27.82/4.40 % (2014395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.82/4.40 % TRYING [7]
% 27.82/4.40 % (2014395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.82/4.40 % (2014395)CaDiCaL version: 2.1.3
% 27.82/4.40 % (2014395)Termination reason: Instruction limit
% 27.82/4.40 % (2014395)Termination phase: Saturation
% 27.82/4.40 % (2014395)Time elapsed: 0.081 s
% 27.82/4.40 % (2014395)Peak memory usage: 12 MB
% 27.82/4.40 % (2014395)Instructions burned: 181 (million)
% 27.82/4.40 % (2014435)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2446314410:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 27.82/4.40 % TRYING [1]
% 27.82/4.40 % TRYING [2]
% 27.82/4.40 % TRYING [3]
% 27.82/4.40 % TRYING [4]
% 27.82/4.40 % TRYING [5]
% 27.82/4.40 % TRYING [7]
% 27.82/4.40 % (2014377)Instruction limit reached!
% 27.82/4.40 % (2014377)------------------------------
% 27.82/4.40 % (2014377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.82/4.40 % (2014377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.82/4.40 % (2014377)CaDiCaL version: 2.1.3
% 27.82/4.40 % (2014377)Termination reason: Instruction limit
% 27.82/4.40 % (2014377)Termination phase: Finite model building constraint generation
% 27.82/4.40 % (2014377)Time elapsed: 0.283 s
% 27.82/4.40 % (2014377)Peak memory usage: 31 MB
% 27.82/4.40 % (2014377)Instructions burned: 715 (million)
% 27.82/4.40 % (2014466)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=716976348:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 27.82/4.40 % TRYING [6]
% 27.82/4.40 % (2014386)Instruction limit reached!
% 27.82/4.40 % (2014386)------------------------------
% 27.82/4.40 % (2014386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.82/4.40 % (2014386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.82/4.40 % (2014386)CaDiCaL version: 2.1.3
% 27.82/4.40 % (2014386)Termination reason: Instruction limit
% 27.82/4.40 % (2014386)Termination phase: Saturation
% 27.82/4.40 % (2014386)Time elapsed: 0.361 s
% 27.82/4.40 % (2014386)Peak memory usage: 17 MB
% 27.82/4.40 % (2014386)Instructions burned: 684 (million)
% 27.82/4.40 % (2014483)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1788490649:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 27.82/4.40 % (2014416)Instruction limit reached!
% 27.82/4.40 % (2014416)------------------------------
% 27.82/4.40 % (2014416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.82/4.40 % (2014416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.82/4.40 % (2014416)CaDiCaL version: 2.1.3
% 27.82/4.40 % (2014416)Termination reason: Instruction limit
% 27.82/4.40 % (2014416)Termination phase: Saturation
% 27.82/4.40 % (2014416)Time elapsed: 0.316 s
% 27.82/4.40 % (2014416)Peak memory usage: 15 MB
% 27.82/4.40 % (2014416)Instructions burned: 478 (million)
% 27.82/4.40 % TRYING [8]
% 27.82/4.40 % (2014485)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=408601883:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 27.82/4.40 % (2014435)Instruction limit reached!
% 27.82/4.40 % (2014435)------------------------------
% 27.82/4.40 % (2014435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.82/4.40 % (2014435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.82/4.40 % (2014435)CaDiCaL version: 2.1.3
% 27.82/4.40 % (2014435)Termination reason: Instruction limit
% 27.82/4.40 % (2014435)Termination phase: Finite model building SAT solving
% 27.82/4.40 % (2014435)Time elapsed: 0.348 s
% 27.82/4.40 % (2014435)Peak memory usage: 25 MB
% 27.82/4.40 % (2014435)Instructions burned: 867 (million)
% 27.82/4.40 % (2014487)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=9350645:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 27.82/4.40 % TRYING [14]
% 27.82/4.40 % (2014483)Instruction limit reached!
% 27.82/4.40 % (2014483)------------------------------
% 27.82/4.40 % (2014483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.82/4.40 % (2014483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.82/4.40 % (2014483)CaDiCaL version: 2.1.3
% 27.82/4.40 % (2014483)Termination reason: Instruction limit
% 27.82/4.40 % (2014483)Termination phase: Finite model building constraint generation
% 27.82/4.40 % (2014483)Time elapsed: 0.417 s
% 27.82/4.40 % (2014483)Peak memory usage: 80 MB
% 27.82/4.40 % (2014483)Instructions burned: 890 (million)
% 27.82/4.40 % (2014519)fmb+10_1_sil=64000:random_seed=403821654:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 27.82/4.40 % TRYING [1]
% 27.82/4.40 % TRYING [2]
% 27.82/4.40 % TRYING [3]
% 27.82/4.40 % TRYING [4]
% 27.82/4.40 % (2014485)Instruction limit reached!
% 27.82/4.40 % (2014485)------------------------------
% 27.82/4.40 % (2014485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.82/4.40 % (2014485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.82/4.40 % (2014485)CaDiCaL version: 2.1.3
% 27.82/4.40 % (2014485)Termination reason: Instruction limit
% 27.82/4.40 % (2014485)Termination phase: Saturation
% 27.82/4.40 % (2014485)Time elapsed: 0.490 s
% 27.82/4.40 % (2014485)Peak memory usage: 18 MB
% 27.82/4.40 % (2014485)Instructions burned: 692 (million)
% 27.82/4.40 % TRYING [5]
% 27.82/4.40 % (2014526)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1401493744:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 27.82/4.40 % TRYING [20]
% 27.82/4.40 % (2014466)Instruction limit reached!
% 27.82/4.40 % (2014466)------------------------------
% 27.82/4.40 % (2014466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.82/4.40 % (2014466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.82/4.40 % (2014466)CaDiCaL version: 2.1.3
% 27.82/4.40 % (2014466)Termination reason: Instruction limit
% 27.82/4.40 % (2014466)Termination phase: Saturation
% 27.82/4.40 % (2014466)Time elapsed: 0.773 s
% 27.82/4.40 % (2014466)Peak memory usage: 18 MB
% 27.82/4.40 % (2014466)Instructions burned: 1180 (million)
% 27.82/4.40 % (2014532)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2586185702:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 27.82/4.40 % TRYING [8]
% 27.82/4.40 % TRYING [6]
% 27.82/4.40 % TRYING [9]
% 27.82/4.40 % (2014487)Instruction limit reached!
% 27.82/4.40 % (2014487)------------------------------
% 27.82/4.40 % (2014487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.82/4.40 % (2014487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.82/4.40 % (2014487)CaDiCaL version: 2.1.3
% 27.82/4.40 % (2014487)Termination reason: Instruction limit
% 27.82/4.40 % (2014487)Termination phase: Saturation
% 27.82/4.40 % (2014487)Time elapsed: 0.685 s
% 27.82/4.40 % (2014487)Peak memory usage: 19 MB
% 27.82/4.40 % (2014487)Instructions burned: 880 (million)
% 27.82/4.40 % (2014534)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3422624869:i=5131_2986 on theBenchmark for (2986ds/5131Mi)
% 27.82/4.40 % TRYING [7]
% 27.82/4.40 % (2014532)Instruction limit reached!
% 27.82/4.40 % (2014532)------------------------------
% 27.82/4.40 % (2014532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.82/4.40 % (2014532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.82/4.40 % (2014532)CaDiCaL version: 2.1.3
% 27.82/4.40 % (2014532)Termination reason: Instruction limit
% 27.82/4.40 % (2014532)Termination phase: Finite model building constraint generation
% 27.82/4.40 % (2014532)Time elapsed: 0.350 s
% 27.82/4.40 % (2014532)Peak memory usage: 66 MB
% 27.82/4.40 % (2014532)Instructions burned: 927 (million)
% 27.82/4.40 % (2014609)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=462715499:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 27.82/4.40 % TRYING [8]
% 27.82/4.40 % (2014609)Instruction limit reached!
% 27.82/4.40 % (2014609)------------------------------
% 27.82/4.40 % (2014609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.82/4.40 % (2014609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.82/4.40 % (2014609)CaDiCaL version: 2.1.3
% 27.82/4.40 % (2014609)Termination reason: Instruction limit
% 27.82/4.40 % (2014609)Termination phase: Saturation
% 27.82/4.40 % (2014609)Time elapsed: 0.784 s
% 27.82/4.40 % (2014609)Peak memory usage: 33 MB
% 27.82/4.40 % (2014609)Instructions burned: 1472 (million)
% 27.82/4.40 % (2014690)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1600958444:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 27.82/4.40 % TRYING [77]
% 27.82/4.40 % TRYING [10]
% 27.82/4.40 % TRYING [9]
% 27.82/4.40 % (2014355) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2014349-2014355"...
% 27.82/4.40 % (2014355)...printing done.
% 27.82/4.40 % (2014355)Refutation found. Thanks to Tanya!
% 27.82/4.40 % SZS status Theorem for theBenchmark
% 27.82/4.40 % SZS output start Proof for theBenchmark
% See solution above
% 27.82/4.40 % (2014355)------------------------------
% 27.82/4.40 % (2014355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.82/4.40 % (2014355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.82/4.40 % (2014355)CaDiCaL version: 2.1.3
% 27.82/4.40 % (2014355)Termination reason: Refutation
% 27.82/4.40 % (2014355)Time elapsed: 3.852 s
% 27.82/4.40 % (2014355)Peak memory usage: 101 MB
% 27.82/4.40 % (2014355)Instructions burned: 12690 (million)
% 27.82/4.40 % (2014349)Success in time 3.97 s
% 27.82/4.40 % Vampire exiting
%------------------------------------------------------------------------------