%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD043-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:49:10 AM UTC 2026
% Result : Unsatisfiable 17.15s 3.10s
% Output : Refutation 17.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 97
% Number of leaves : 21
% Syntax : Number of formulae : 195 ( 17 unt; 5 def)
% Number of atoms : 916 ( 2 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 1591 ( 870 ~; 717 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 449 ( 0 sgn 449 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f9,axiom,
! [X2,X0,X1] :
( equalish(add(multiply(X0,X1),multiply(X2,X1)),multiply(add(X0,X2),X1))
| ~ defined(X0)
| ~ defined(X2)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity) ).
fof(f10,axiom,
! [X0,X1] :
( defined(add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_addition) ).
fof(f11,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f13,axiom,
! [X0,X1] :
( defined(multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
fof(f21,axiom,
! [X0] :
( equalish(X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_equality) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X1),multiply(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,negated_conjecture,
~ equalish(multiply(additive_identity,a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_not_equal_to_additive_identity_2) ).
fof(f30,definition,
sF0 = multiply(additive_identity,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f31,plain,
multiply(additive_identity,a) = sF0,
inference(reorient_equations,[],[f30]) ).
fof(f32,plain,
~ equalish(sF0,additive_identity),
inference(definition_folding,[],[f29,f31]) ).
fof(f34,plain,
( defined(sF0)
| ~ defined(additive_identity)
| ~ defined(a) ),
inference(superposition,[],[f13,f31]) ).
fof(f35,plain,
( defined(sF0)
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f34,f11]) ).
fof(f36,plain,
defined(sF0),
inference(forward_subsumption_resolution,[],[f35,f28]) ).
fof(f41,plain,
! [X0] :
( ~ equalish(sF0,X0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f23,f32]) ).
fof(f43,plain,
! [X0] :
( ~ equalish(X0,sF0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f41,f22]) ).
fof(f59,definition,
( spl1_1
<=> equalish(additive_identity,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f60,plain,
( equalish(additive_identity,additive_identity)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f61,plain,
( ~ equalish(additive_identity,additive_identity)
| spl1_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f78,plain,
( ~ equalish(add(additive_identity,sF0),additive_identity)
| ~ defined(sF0) ),
inference(resolution,[],[f43,f2]) ).
fof(f79,plain,
~ equalish(add(additive_identity,sF0),additive_identity),
inference(forward_subsumption_resolution,[],[f78,f36]) ).
fof(f84,plain,
! [X0] :
( ~ equalish(add(additive_identity,sF0),X0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f79,f23]) ).
fof(f90,plain,
! [X0] :
( ~ equalish(X0,add(additive_identity,sF0))
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f84,f22]) ).
fof(f110,plain,
! [X0] :
( ~ equalish(add(X0,sF0),additive_identity)
| ~ defined(sF0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f90,f24]) ).
fof(f121,plain,
! [X0] :
( ~ equalish(add(X0,sF0),additive_identity)
| ~ equalish(X0,additive_identity) ),
inference(forward_subsumption_resolution,[],[f110,f36]) ).
fof(f127,plain,
! [X0,X1] :
( ~ equalish(add(X0,sF0),X1)
| ~ equalish(X0,additive_identity)
| ~ equalish(X1,additive_identity) ),
inference(resolution,[],[f121,f23]) ).
fof(f130,plain,
! [X0] :
( ~ equalish(X0,additive_identity)
| ~ equalish(add(sF0,X0),additive_identity)
| ~ defined(X0)
| ~ defined(sF0) ),
inference(resolution,[],[f127,f4]) ).
fof(f136,plain,
! [X0] :
( ~ equalish(add(sF0,X0),additive_identity)
| ~ equalish(X0,additive_identity)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f130,f36]) ).
fof(f169,plain,
( ~ defined(additive_identity)
| spl1_1 ),
inference(resolution,[],[f61,f21]) ).
fof(f170,plain,
( $false
| spl1_1 ),
inference(forward_subsumption_resolution,[],[f169,f11]) ).
fof(f171,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f170]) ).
fof(f228,plain,
! [X0,X1] :
( ~ equalish(add(sF0,X0),X1)
| ~ defined(X0)
| ~ equalish(X0,additive_identity)
| ~ equalish(X1,additive_identity) ),
inference(resolution,[],[f136,f23]) ).
fof(f234,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(add(sF0,X0),X1),additive_identity)
| ~ defined(sF0)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f228,f1]) ).
fof(f241,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(add(sF0,X0),X1),additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f234,f36]) ).
fof(f242,plain,
! [X0,X1] :
( ~ equalish(add(add(sF0,X0),X1),additive_identity)
| ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f241,f10]) ).
fof(f244,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(sF0,X0),X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(X2,additive_identity) ),
inference(resolution,[],[f242,f23]) ).
fof(f248,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(X2,X1),additive_identity)
| ~ defined(X1)
| ~ equalish(add(sF0,X0),X2) ),
inference(resolution,[],[f244,f24]) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ equalish(add(sF0,X0),X2)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(X2,X1),additive_identity)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f248]) ).
fof(f257,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),additive_identity)
| ~ equalish(add(add(X1,sF0),X0),additive_identity)
| ~ defined(X1)
| ~ defined(sF0)
| ~ defined(X1) ),
inference(resolution,[],[f254,f4]) ).
fof(f265,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),additive_identity)
| ~ equalish(add(add(X1,sF0),X0),additive_identity)
| ~ defined(X1)
| ~ defined(sF0) ),
inference(duplicate_literal_removal,[],[f257]) ).
fof(f268,plain,
! [X0,X1] :
( ~ equalish(add(add(X1,sF0),X0),additive_identity)
| ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f265,f36]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(X0,sF0),X1),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(X2,additive_identity) ),
inference(resolution,[],[f268,f23]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X1,X0),additive_identity)
| ~ equalish(add(X2,X0),additive_identity)
| ~ defined(X0)
| ~ equalish(add(X1,sF0),X2) ),
inference(resolution,[],[f276,f24]) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ equalish(add(X2,X0),additive_identity)
| ~ defined(X1)
| ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X0)
| ~ equalish(add(X1,sF0),X2) ),
inference(duplicate_literal_removal,[],[f280]) ).
fof(f289,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X0,additive_inverse(X1)),additive_identity)
| ~ defined(additive_inverse(X1))
| ~ equalish(add(X0,sF0),X1)
| ~ defined(X1) ),
inference(resolution,[],[f286,f3]) ).
fof(f295,plain,
! [X0,X1] :
( ~ equalish(add(X0,additive_inverse(X1)),additive_identity)
| ~ defined(X0)
| ~ equalish(add(X0,sF0),X1)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f289,f12]) ).
fof(f296,plain,
! [X0] :
( ~ defined(X0)
| ~ equalish(add(X0,sF0),X0)
| ~ defined(X0)
| ~ defined(X0) ),
inference(resolution,[],[f295,f3]) ).
fof(f299,plain,
! [X0] :
( ~ equalish(add(X0,sF0),X0)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f296]) ).
fof(f301,plain,
! [X0,X1] :
( ~ equalish(add(X0,sF0),X1)
| ~ defined(X0)
| ~ equalish(X1,X0) ),
inference(resolution,[],[f299,f23]) ).
fof(f309,plain,
! [X0] :
( ~ defined(X0)
| ~ equalish(add(sF0,X0),X0)
| ~ defined(X0)
| ~ defined(sF0) ),
inference(resolution,[],[f301,f4]) ).
fof(f314,plain,
! [X0] :
( ~ defined(X0)
| ~ equalish(add(sF0,X0),X0)
| ~ defined(sF0) ),
inference(duplicate_literal_removal,[],[f309]) ).
fof(f316,plain,
! [X0] :
( ~ equalish(add(sF0,X0),X0)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f314,f36]) ).
fof(f317,plain,
! [X0,X1] :
( ~ equalish(add(sF0,X0),X1)
| ~ defined(X0)
| ~ equalish(X1,X0) ),
inference(resolution,[],[f316,f23]) ).
fof(f338,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(add(add(sF0,X0),X1),add(X0,X1))
| ~ defined(sF0)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f317,f1]) ).
fof(f346,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(add(add(sF0,X0),X1),add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f338,f36]) ).
fof(f348,plain,
! [X0,X1] :
( ~ equalish(add(add(sF0,X0),X1),add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f346,f10]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(sF0,X0),X1),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,add(X0,X1)) ),
inference(resolution,[],[f348,f23]) ).
fof(f392,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X2,X0),add(X1,X0))
| ~ defined(X0)
| ~ equalish(add(sF0,X1),X2) ),
inference(resolution,[],[f350,f24]) ).
fof(f398,plain,
! [X2,X0,X1] :
( ~ equalish(add(X2,X0),add(X1,X0))
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(add(sF0,X1),X2) ),
inference(duplicate_literal_removal,[],[f392]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(sF0,X0),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(add(X2,X1),X3)
| ~ equalish(X3,add(X0,X1)) ),
inference(resolution,[],[f398,f23]) ).
fof(f417,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(add(X1,sF0),X0),X2)
| ~ equalish(X2,add(X1,X0))
| ~ defined(sF0)
| ~ defined(X1) ),
inference(resolution,[],[f412,f4]) ).
fof(f425,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(add(X1,sF0),X0),X2)
| ~ equalish(X2,add(X1,X0))
| ~ defined(sF0) ),
inference(duplicate_literal_removal,[],[f417]) ).
fof(f428,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(X1,sF0),X0),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,add(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f425,f36]) ).
fof(f481,plain,
! [X2,X0,X1] :
( ~ equalish(X2,add(add(X0,sF0),X1))
| ~ defined(X1)
| ~ equalish(X2,add(X0,X1))
| ~ defined(X0) ),
inference(resolution,[],[f428,f22]) ).
fof(f1372,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),add(X2,X0))
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(X1,add(X2,sF0)) ),
inference(resolution,[],[f481,f24]) ).
fof(f1377,plain,
! [X2,X0,X1] :
( ~ equalish(add(X1,X0),add(X2,X0))
| ~ defined(X0)
| ~ defined(X2)
| ~ equalish(X1,add(X2,sF0)) ),
inference(duplicate_literal_removal,[],[f1372]) ).
fof(f1382,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X2,X0),X3)
| ~ defined(X1)
| ~ equalish(X2,add(X1,sF0))
| ~ defined(X0)
| ~ equalish(X3,add(X1,X0)) ),
inference(resolution,[],[f1377,f23]) ).
fof(f1389,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,add(X0,sF0))
| ~ defined(X2)
| ~ equalish(add(X3,X2),add(X0,X2))
| ~ defined(X2)
| ~ equalish(X1,X3) ),
inference(resolution,[],[f1382,f24]) ).
fof(f1396,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X3,X2),add(X0,X2))
| ~ equalish(X1,add(X0,sF0))
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(X1,X3) ),
inference(duplicate_literal_removal,[],[f1389]) ).
fof(f1594,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X0,add(X1,sF0))
| ~ defined(X2)
| ~ defined(X1)
| ~ equalish(X0,X3)
| ~ defined(X2)
| ~ equalish(X3,X1) ),
inference(resolution,[],[f1396,f24]) ).
fof(f1598,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X0,add(X1,sF0))
| ~ defined(X2)
| ~ defined(X1)
| ~ equalish(X0,X3)
| ~ equalish(X3,X1) ),
inference(duplicate_literal_removal,[],[f1594]) ).
fof(f1601,definition,
( spl1_16
<=> ! [X2] : ~ defined(X2) ),
introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).
fof(f1602,plain,
( ! [X2] : ~ defined(X2)
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f1601]) ).
fof(f1604,definition,
( spl1_17
<=> ! [X0,X1,X3] :
( ~ equalish(X0,add(X1,sF0))
| ~ equalish(X3,X1)
| ~ equalish(X0,X3)
| ~ defined(X1) ) ),
introduced(definition,[new_symbols(definition,[spl1_17])],[avatar_definition]) ).
fof(f1605,plain,
( ! [X3,X0,X1] :
( ~ equalish(X0,add(X1,sF0))
| ~ equalish(X3,X1)
| ~ equalish(X0,X3)
| ~ defined(X1) )
| ~ spl1_17 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f1606,plain,
( spl1_16
| spl1_17 ),
inference(avatar_split_clause,[],[f1598,f1604,f1601]) ).
fof(f1609,plain,
( $false
| ~ spl1_16 ),
inference(resolution,[],[f1602,f11]) ).
fof(f1621,plain,
~ spl1_16,
inference(avatar_contradiction_clause,[],[f1609]) ).
fof(f1628,plain,
( ! [X2,X0,X1] :
( ~ equalish(X0,add(X1,X2))
| ~ equalish(add(X1,add(X2,sF0)),X0)
| ~ defined(add(X1,X2))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(sF0) )
| ~ spl1_17 ),
inference(resolution,[],[f1605,f1]) ).
fof(f1632,plain,
( ! [X2,X0,X1] :
( ~ equalish(X0,add(X1,X2))
| ~ equalish(add(X1,add(X2,sF0)),X0)
| ~ defined(add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f1628,f36]) ).
fof(f1633,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(X1,add(X2,sF0)),X0)
| ~ equalish(X0,add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f1632,f10]) ).
fof(f1635,plain,
( ! [X0,X1] :
( ~ equalish(add(add(X0,X1),sF0),add(X0,X1))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(sF0) )
| ~ spl1_17 ),
inference(resolution,[],[f1633,f1]) ).
fof(f1642,plain,
( ! [X0,X1] :
( ~ equalish(add(add(X0,X1),sF0),add(X0,X1))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(sF0) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f1635]) ).
fof(f1643,plain,
( ! [X0,X1] :
( ~ equalish(add(add(X0,X1),sF0),add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f1642,f36]) ).
fof(f1646,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(add(X0,X1),sF0),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,add(X0,X1)) )
| ~ spl1_17 ),
inference(resolution,[],[f1643,f23]) ).
fof(f1650,plain,
( ! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X2,sF0),add(X1,X0))
| ~ defined(sF0)
| ~ equalish(add(X1,X0),X2) )
| ~ spl1_17 ),
inference(resolution,[],[f1646,f24]) ).
fof(f1654,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(X2,sF0),add(X1,X0))
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(add(X1,X0),X2) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f1650,f36]) ).
fof(f1658,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(X0,X1),add(X2,sF0))
| ~ defined(X1)
| ~ equalish(add(X0,X1),X2)
| ~ defined(X0) )
| ~ spl1_17 ),
inference(resolution,[],[f1654,f22]) ).
fof(f1886,plain,
( ! [X0,X1] :
( ~ defined(sF0)
| ~ equalish(add(X0,sF0),X1)
| ~ defined(X0)
| ~ defined(sF0)
| ~ equalish(X0,X1) )
| ~ spl1_17 ),
inference(resolution,[],[f1658,f24]) ).
fof(f1894,plain,
( ! [X0,X1] :
( ~ defined(sF0)
| ~ equalish(add(X0,sF0),X1)
| ~ defined(X0)
| ~ equalish(X0,X1) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f1886]) ).
fof(f1896,plain,
( ! [X0,X1] :
( ~ equalish(add(X0,sF0),X1)
| ~ defined(X0)
| ~ equalish(X0,X1) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f1894,f36]) ).
fof(f1900,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(X0,sF0),X2)
| ~ equalish(X0,X1)
| ~ defined(X0)
| ~ equalish(X2,X1) )
| ~ spl1_17 ),
inference(resolution,[],[f1896,f23]) ).
fof(f1905,plain,
( ! [X0,X1] :
( ~ equalish(X0,X1)
| ~ defined(X0)
| ~ equalish(add(sF0,X0),X1)
| ~ defined(X0)
| ~ defined(sF0) )
| ~ spl1_17 ),
inference(resolution,[],[f1900,f4]) ).
fof(f1910,plain,
( ! [X0,X1] :
( ~ equalish(X0,X1)
| ~ defined(X0)
| ~ equalish(add(sF0,X0),X1)
| ~ defined(sF0) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f1905]) ).
fof(f1912,plain,
( ! [X0,X1] :
( ~ equalish(add(sF0,X0),X1)
| ~ defined(X0)
| ~ equalish(X0,X1) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f1910,f36]) ).
fof(f1919,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(sF0,X0),X2)
| ~ equalish(X0,X1)
| ~ defined(X0)
| ~ equalish(X2,X1) )
| ~ spl1_17 ),
inference(resolution,[],[f1912,f23]) ).
fof(f1932,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(X0,X1),X2)
| ~ defined(add(X0,X1))
| ~ equalish(add(add(sF0,X0),X1),X2)
| ~ defined(sF0)
| ~ defined(X0)
| ~ defined(X1) )
| ~ spl1_17 ),
inference(resolution,[],[f1919,f1]) ).
fof(f1940,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(X0,X1),X2)
| ~ defined(add(X0,X1))
| ~ equalish(add(add(sF0,X0),X1),X2)
| ~ defined(X0)
| ~ defined(X1) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f1932,f36]) ).
fof(f1942,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(add(sF0,X0),X1),X2)
| ~ equalish(add(X0,X1),X2)
| ~ defined(X0)
| ~ defined(X1) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f1940,f10]) ).
fof(f1947,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(add(sF0,X0),X1),X3)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),X2)
| ~ equalish(X3,X2) )
| ~ spl1_17 ),
inference(resolution,[],[f1942,f23]) ).
fof(f1973,plain,
( ! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),X2)
| ~ equalish(add(X3,X1),X2)
| ~ defined(X1)
| ~ equalish(add(sF0,X0),X3) )
| ~ spl1_17 ),
inference(resolution,[],[f1947,f24]) ).
fof(f1979,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(sF0,X0),X3)
| ~ defined(X1)
| ~ equalish(add(X0,X1),X2)
| ~ equalish(add(X3,X1),X2)
| ~ defined(X0) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f1973]) ).
fof(f1987,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equalish(add(sF0,X1),X4)
| ~ equalish(add(X1,X0),X2)
| ~ equalish(add(X3,X0),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X4,X3) )
| ~ spl1_17 ),
inference(resolution,[],[f1979,f23]) ).
fof(f2015,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(X0,X1),X2)
| ~ equalish(add(X3,X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,sF0),X3)
| ~ defined(sF0)
| ~ defined(X0) )
| ~ spl1_17 ),
inference(resolution,[],[f1987,f4]) ).
fof(f2023,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(X0,X1),X2)
| ~ equalish(add(X3,X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,sF0),X3)
| ~ defined(sF0) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f2015]) ).
fof(f2026,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(X3,X1),X2)
| ~ equalish(add(X0,X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,sF0),X3) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f2023,f36]) ).
fof(f2079,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(X0,sF0),X3)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),X2)
| ~ equalish(X2,add(X3,X1)) )
| ~ spl1_17 ),
inference(resolution,[],[f2026,f22]) ).
fof(f2244,plain,
( ! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),X2)
| ~ equalish(X2,add(add(X3,sF0),X1))
| ~ defined(sF0)
| ~ equalish(X0,X3) )
| ~ spl1_17 ),
inference(resolution,[],[f2079,f24]) ).
fof(f2249,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(X2,add(add(X3,sF0),X1))
| ~ defined(X1)
| ~ equalish(add(X0,X1),X2)
| ~ defined(X0)
| ~ equalish(X0,X3) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f2244,f36]) ).
fof(f2256,plain,
( ! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),add(X2,X0))
| ~ defined(X1)
| ~ equalish(X1,X3)
| ~ defined(X0)
| ~ equalish(X2,add(X3,sF0)) )
| ~ spl1_17 ),
inference(resolution,[],[f2249,f24]) ).
fof(f2261,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(X1,X0),add(X2,X0))
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X1,X3)
| ~ equalish(X2,add(X3,sF0)) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f2256]) ).
fof(f2266,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equalish(add(X1,X0),X4)
| ~ defined(X1)
| ~ equalish(X1,X2)
| ~ equalish(X3,add(X2,sF0))
| ~ defined(X0)
| ~ equalish(X4,add(X3,X0)) )
| ~ spl1_17 ),
inference(resolution,[],[f2261,f23]) ).
fof(f2272,plain,
( ! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(X0,X1)
| ~ equalish(X2,add(X1,sF0))
| ~ defined(X3)
| ~ equalish(add(X3,X0),add(X2,X3))
| ~ defined(X0)
| ~ defined(X3) )
| ~ spl1_17 ),
inference(resolution,[],[f2266,f4]) ).
fof(f2283,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(X3,X0),add(X2,X3))
| ~ equalish(X0,X1)
| ~ equalish(X2,add(X1,sF0))
| ~ defined(X3)
| ~ defined(X0) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f2272]) ).
fof(f2345,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equalish(add(X3,X0),X4)
| ~ equalish(X2,add(X1,sF0))
| ~ defined(X3)
| ~ defined(X0)
| ~ equalish(X0,X1)
| ~ equalish(X4,add(X2,X3)) )
| ~ spl1_17 ),
inference(resolution,[],[f2283,f23]) ).
fof(f2368,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equalish(X0,add(X1,sF0))
| ~ defined(X2)
| ~ defined(add(X3,X4))
| ~ equalish(add(X3,X4),X1)
| ~ equalish(add(add(X2,X3),X4),add(X0,X2))
| ~ defined(X2)
| ~ defined(X3)
| ~ defined(X4) )
| ~ spl1_17 ),
inference(resolution,[],[f2345,f1]) ).
fof(f2375,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equalish(X0,add(X1,sF0))
| ~ defined(X2)
| ~ defined(add(X3,X4))
| ~ equalish(add(X3,X4),X1)
| ~ equalish(add(add(X2,X3),X4),add(X0,X2))
| ~ defined(X3)
| ~ defined(X4) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f2368]) ).
fof(f2381,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equalish(add(add(X2,X3),X4),add(X0,X2))
| ~ defined(X2)
| ~ equalish(add(X3,X4),X1)
| ~ equalish(X0,add(X1,sF0))
| ~ defined(X3)
| ~ defined(X4) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f2375,f10]) ).
fof(f2413,plain,
( ! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),X2)
| ~ equalish(X3,add(X2,sF0))
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(X0)
| ~ equalish(add(X0,X1),X3) )
| ~ spl1_17 ),
inference(resolution,[],[f2381,f24]) ).
fof(f2420,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(X1,X0),X2)
| ~ defined(X0)
| ~ equalish(X3,add(X2,sF0))
| ~ defined(X1)
| ~ equalish(add(X0,X1),X3) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f2413]) ).
fof(f2429,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equalish(add(X3,X0),X4)
| ~ equalish(X1,add(X2,sF0))
| ~ defined(X3)
| ~ equalish(add(X0,X3),X1)
| ~ defined(X0)
| ~ equalish(X4,X2) )
| ~ spl1_17 ),
inference(resolution,[],[f2420,f23]) ).
fof(f2584,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equalish(X0,add(X1,sF0))
| ~ defined(X2)
| ~ equalish(add(X3,X2),X0)
| ~ defined(X3)
| ~ equalish(add(X4,X3),X1)
| ~ defined(X3)
| ~ equalish(X2,X4) )
| ~ spl1_17 ),
inference(resolution,[],[f2429,f24]) ).
fof(f2593,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equalish(add(X4,X3),X1)
| ~ defined(X2)
| ~ equalish(add(X3,X2),X0)
| ~ defined(X3)
| ~ equalish(X0,add(X1,sF0))
| ~ equalish(X2,X4) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f2584]) ).
fof(f2733,plain,
( ! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),X2)
| ~ defined(X1)
| ~ equalish(X2,add(X1,sF0))
| ~ equalish(X0,additive_identity)
| ~ defined(X1) )
| ~ spl1_17 ),
inference(resolution,[],[f2593,f2]) ).
fof(f2744,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(X1,X0),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X2,add(X1,sF0))
| ~ equalish(X0,additive_identity) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f2733]) ).
fof(f2754,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(X1,X0),X3)
| ~ defined(X1)
| ~ equalish(X2,add(X1,sF0))
| ~ equalish(X0,additive_identity)
| ~ defined(X0)
| ~ equalish(X3,X2) )
| ~ spl1_17 ),
inference(resolution,[],[f2744,f23]) ).
fof(f2783,plain,
( ! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,add(X0,sF0))
| ~ equalish(add(X2,X3),additive_identity)
| ~ defined(add(X2,X3))
| ~ equalish(add(add(X0,X2),X3),X1)
| ~ defined(X0)
| ~ defined(X2)
| ~ defined(X3) )
| ~ spl1_17 ),
inference(resolution,[],[f2754,f1]) ).
fof(f2790,plain,
( ! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,add(X0,sF0))
| ~ equalish(add(X2,X3),additive_identity)
| ~ defined(add(X2,X3))
| ~ equalish(add(add(X0,X2),X3),X1)
| ~ defined(X2)
| ~ defined(X3) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f2783]) ).
fof(f2796,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(add(X0,X2),X3),X1)
| ~ equalish(X1,add(X0,sF0))
| ~ equalish(add(X2,X3),additive_identity)
| ~ defined(X0)
| ~ defined(X2)
| ~ defined(X3) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f2790,f10]) ).
fof(f2802,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equalish(add(add(X1,X2),X3),X4)
| ~ equalish(add(X2,X3),additive_identity)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(X0,add(X1,sF0))
| ~ equalish(X4,X0) )
| ~ spl1_17 ),
inference(resolution,[],[f2796,f23]) ).
fof(f3000,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X3,add(X2,sF0))
| ~ equalish(add(X4,X1),X3)
| ~ defined(X1)
| ~ equalish(add(X2,X0),X4) )
| ~ spl1_17 ),
inference(resolution,[],[f2802,f24]) ).
fof(f3006,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ equalish(add(X4,X1),X3)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X3,add(X2,sF0))
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(X2,X0),X4) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f3000]) ).
fof(f3025,plain,
( ! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(X2,add(X0,sF0))
| ~ equalish(add(X1,X2),additive_identity)
| ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X2) )
| ~ spl1_17 ),
inference(resolution,[],[f3006,f2]) ).
fof(f3036,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(X1,X2),additive_identity)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(X2,add(X0,sF0))
| ~ defined(X0)
| ~ equalish(add(X0,X1),additive_identity) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f3025]) ).
fof(f3042,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(X2,X0),additive_identity)
| ~ defined(X1)
| ~ equalish(X1,add(X2,sF0))
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(add(X0,X1),X3)
| ~ equalish(X3,additive_identity) )
| ~ spl1_17 ),
inference(resolution,[],[f3036,f23]) ).
fof(f3048,plain,
( ! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X0,add(additive_identity,sF0))
| ~ defined(additive_identity)
| ~ defined(additive_identity)
| ~ equalish(add(additive_identity,X0),X1)
| ~ equalish(X1,additive_identity)
| ~ defined(additive_identity) )
| ~ spl1_17 ),
inference(resolution,[],[f3042,f2]) ).
fof(f3051,plain,
( ! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X0,add(additive_identity,sF0))
| ~ defined(additive_identity)
| ~ equalish(add(additive_identity,X0),X1)
| ~ equalish(X1,additive_identity) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f3048]) ).
fof(f3053,plain,
( ! [X0,X1] :
( ~ equalish(add(additive_identity,X0),X1)
| ~ equalish(X0,add(additive_identity,sF0))
| ~ defined(X0)
| ~ equalish(X1,additive_identity) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f3051,f11]) ).
fof(f3150,plain,
( ! [X0,X1] :
( ~ equalish(X1,add(additive_identity,X0))
| ~ defined(X0)
| ~ equalish(X1,additive_identity)
| ~ equalish(X0,add(additive_identity,sF0)) )
| ~ spl1_17 ),
inference(resolution,[],[f3053,f22]) ).
fof(f3162,plain,
( ! [X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),additive_identity)
| ~ equalish(X0,add(additive_identity,sF0))
| ~ defined(X0)
| ~ equalish(X1,additive_identity) )
| ~ spl1_17 ),
inference(resolution,[],[f3150,f24]) ).
fof(f3165,plain,
( ! [X0,X1] :
( ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X0)
| ~ equalish(X0,add(additive_identity,sF0))
| ~ equalish(X1,additive_identity) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f3162]) ).
fof(f3169,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(X1,X0),X2)
| ~ equalish(X0,add(additive_identity,sF0))
| ~ equalish(X1,additive_identity)
| ~ defined(X0)
| ~ equalish(X2,additive_identity) )
| ~ spl1_17 ),
inference(resolution,[],[f3165,f23]) ).
fof(f3174,plain,
( ! [X0,X1] :
( ~ equalish(X0,add(additive_identity,sF0))
| ~ equalish(X1,additive_identity)
| ~ defined(X0)
| ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X1)
| ~ defined(X0) )
| ~ spl1_17 ),
inference(resolution,[],[f3169,f4]) ).
fof(f3183,plain,
( ! [X0,X1] :
( ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(X1,additive_identity)
| ~ defined(X0)
| ~ equalish(X0,add(additive_identity,sF0))
| ~ defined(X1) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f3174]) ).
fof(f3225,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(X1,X0),X2)
| ~ defined(X1)
| ~ equalish(X1,add(additive_identity,sF0))
| ~ defined(X0)
| ~ equalish(X0,additive_identity)
| ~ equalish(X2,additive_identity) )
| ~ spl1_17 ),
inference(resolution,[],[f3183,f23]) ).
fof(f3868,plain,
( ! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(X0,add(additive_identity,sF0))
| ~ defined(add(X1,X2))
| ~ equalish(add(X1,X2),additive_identity)
| ~ equalish(add(add(X0,X1),X2),additive_identity)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) )
| ~ spl1_17 ),
inference(resolution,[],[f3225,f1]) ).
fof(f3875,plain,
( ! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(X0,add(additive_identity,sF0))
| ~ defined(add(X1,X2))
| ~ equalish(add(X1,X2),additive_identity)
| ~ equalish(add(add(X0,X1),X2),additive_identity)
| ~ defined(X1)
| ~ defined(X2) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f3868]) ).
fof(f3880,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(add(X0,X1),X2),additive_identity)
| ~ equalish(X0,add(additive_identity,sF0))
| ~ equalish(add(X1,X2),additive_identity)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f3875,f10]) ).
fof(f3885,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(add(X0,X1),X2),X3)
| ~ equalish(add(X1,X2),additive_identity)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(X0,add(additive_identity,sF0))
| ~ equalish(X3,additive_identity) )
| ~ spl1_17 ),
inference(resolution,[],[f3880,f23]) ).
fof(f6344,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X2,add(additive_identity,sF0))
| ~ equalish(add(X3,X1),additive_identity)
| ~ defined(X1)
| ~ equalish(add(X2,X0),X3) )
| ~ spl1_17 ),
inference(resolution,[],[f3885,f24]) ).
fof(f6350,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(X3,X1),additive_identity)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X2,add(additive_identity,sF0))
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(X2,X0),X3) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f6344]) ).
fof(f6357,plain,
( ! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(additive_inverse(X2))
| ~ equalish(X0,add(additive_identity,sF0))
| ~ equalish(add(X1,additive_inverse(X2)),additive_identity)
| ~ equalish(add(X0,X1),X2)
| ~ defined(X2) )
| ~ spl1_17 ),
inference(resolution,[],[f6350,f3]) ).
fof(f6363,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(X1,additive_inverse(X2)),additive_identity)
| ~ defined(X1)
| ~ equalish(X0,add(additive_identity,sF0))
| ~ defined(X0)
| ~ equalish(add(X0,X1),X2)
| ~ defined(X2) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f6357,f12]) ).
fof(f6364,plain,
( ! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,add(additive_identity,sF0))
| ~ defined(X1)
| ~ equalish(add(X1,X0),X0)
| ~ defined(X0)
| ~ defined(X0) )
| ~ spl1_17 ),
inference(resolution,[],[f6363,f3]) ).
fof(f6367,plain,
( ! [X0,X1] :
( ~ equalish(add(X1,X0),X0)
| ~ equalish(X1,add(additive_identity,sF0))
| ~ defined(X1)
| ~ defined(X0) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f6364]) ).
fof(f6369,plain,
( ! [X2,X0,X1] :
( ~ equalish(add(X0,X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X0,add(additive_identity,sF0))
| ~ equalish(X2,X1) )
| ~ spl1_17 ),
inference(resolution,[],[f6367,f23]) ).
fof(f6377,plain,
( ! [X2,X0,X1] :
( ~ defined(multiply(X0,X1))
| ~ defined(multiply(X2,X1))
| ~ equalish(multiply(X0,X1),add(additive_identity,sF0))
| ~ equalish(multiply(add(X0,X2),X1),multiply(X2,X1))
| ~ defined(X0)
| ~ defined(X2)
| ~ defined(X1) )
| ~ spl1_17 ),
inference(resolution,[],[f6369,f9]) ).
fof(f6386,plain,
( ! [X2,X0,X1] :
( ~ defined(multiply(X2,X1))
| ~ equalish(multiply(X0,X1),add(additive_identity,sF0))
| ~ equalish(multiply(add(X0,X2),X1),multiply(X2,X1))
| ~ defined(X0)
| ~ defined(X2)
| ~ defined(X1) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f6377,f13]) ).
fof(f6388,plain,
( ! [X2,X0,X1] :
( ~ equalish(multiply(add(X0,X2),X1),multiply(X2,X1))
| ~ equalish(multiply(X0,X1),add(additive_identity,sF0))
| ~ defined(X0)
| ~ defined(X2)
| ~ defined(X1) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f6386,f13]) ).
fof(f6389,plain,
( ! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),add(additive_identity,sF0))
| ~ defined(X0)
| ~ defined(X2)
| ~ defined(X1)
| ~ defined(X1)
| ~ equalish(add(X0,X2),X2) )
| ~ spl1_17 ),
inference(resolution,[],[f6388,f25]) ).
fof(f6393,plain,
( ! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),add(additive_identity,sF0))
| ~ defined(X0)
| ~ defined(X2)
| ~ defined(X1)
| ~ equalish(add(X0,X2),X2) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f6389]) ).
fof(f6397,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(multiply(X0,X2),X3)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(add(X0,X1),X1)
| ~ defined(X0)
| ~ equalish(X3,add(additive_identity,sF0)) )
| ~ spl1_17 ),
inference(resolution,[],[f6393,f23]) ).
fof(f6409,plain,
( ! [X2,X3,X0,X1] :
( ~ equalish(add(X2,X0),X0)
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(X2)
| ~ equalish(X3,add(additive_identity,sF0))
| ~ equalish(X3,multiply(X2,X1)) )
| ~ spl1_17 ),
inference(resolution,[],[f6397,f22]) ).
fof(f6717,plain,
( ! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(additive_identity)
| ~ equalish(X2,add(additive_identity,sF0))
| ~ equalish(X2,multiply(additive_identity,X0))
| ~ defined(X1) )
| ~ spl1_17 ),
inference(resolution,[],[f6409,f2]) ).
fof(f6720,plain,
( ! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(additive_identity)
| ~ equalish(X2,add(additive_identity,sF0))
| ~ equalish(X2,multiply(additive_identity,X0)) )
| ~ spl1_17 ),
inference(duplicate_literal_removal,[],[f6717]) ).
fof(f6721,plain,
( ! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X2,add(additive_identity,sF0))
| ~ equalish(X2,multiply(additive_identity,X0)) )
| ~ spl1_17 ),
inference(forward_subsumption_resolution,[],[f6720,f11]) ).
fof(f6723,definition,
( spl1_58
<=> ! [X2,X0] :
( ~ defined(X0)
| ~ equalish(X2,add(additive_identity,sF0))
| ~ equalish(X2,multiply(additive_identity,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_58])],[avatar_definition]) ).
fof(f6724,plain,
( ! [X2,X0] :
( ~ equalish(X2,multiply(additive_identity,X0))
| ~ equalish(X2,add(additive_identity,sF0))
| ~ defined(X0) )
| ~ spl1_58 ),
inference(avatar_component_clause,[],[f6723]) ).
fof(f6725,plain,
( spl1_16
| spl1_58
| ~ spl1_17 ),
inference(avatar_split_clause,[],[f6721,f1604,f6723,f1601]) ).
fof(f6734,plain,
( ! [X0] :
( ~ equalish(X0,sF0)
| ~ equalish(X0,add(additive_identity,sF0))
| ~ defined(a) )
| ~ spl1_58 ),
inference(superposition,[],[f6724,f31]) ).
fof(f6737,plain,
( ! [X0] :
( ~ equalish(X0,add(additive_identity,sF0))
| ~ equalish(X0,sF0) )
| ~ spl1_58 ),
inference(forward_subsumption_resolution,[],[f6734,f28]) ).
fof(f7183,plain,
( ! [X0] :
( ~ equalish(add(X0,sF0),sF0)
| ~ defined(sF0)
| ~ equalish(X0,additive_identity) )
| ~ spl1_58 ),
inference(resolution,[],[f6737,f24]) ).
fof(f7186,plain,
( ! [X0] :
( ~ equalish(add(X0,sF0),sF0)
| ~ equalish(X0,additive_identity) )
| ~ spl1_58 ),
inference(forward_subsumption_resolution,[],[f7183,f36]) ).
fof(f7189,plain,
( ~ equalish(additive_identity,additive_identity)
| ~ defined(sF0)
| ~ spl1_58 ),
inference(resolution,[],[f7186,f2]) ).
fof(f7192,plain,
( ~ defined(sF0)
| ~ spl1_1
| ~ spl1_58 ),
inference(forward_subsumption_resolution,[],[f7189,f60]) ).
fof(f7193,plain,
( $false
| ~ spl1_1
| ~ spl1_58 ),
inference(forward_subsumption_resolution,[],[f7192,f36]) ).
fof(f7194,plain,
( ~ spl1_1
| ~ spl1_58 ),
inference(avatar_contradiction_clause,[],[f7193]) ).
cnf(s4,plain,
spl1_1,
inference(sat_conversion,[],[f171]) ).
cnf(s13,plain,
( spl1_16
| spl1_17 ),
inference(sat_conversion,[],[f1606]) ).
cnf(s18,plain,
~ spl1_16,
inference(sat_conversion,[],[f1621]) ).
cnf(s51,plain,
( spl1_16
| ~ spl1_17
| spl1_58 ),
inference(sat_conversion,[],[f6725]) ).
cnf(s52,plain,
( ~ spl1_1
| ~ spl1_58 ),
inference(sat_conversion,[],[f7194]) ).
cnf(s55,plain,
spl1_17,
inference(rat,[],[s13,s18]) ).
cnf(s56,plain,
spl1_58,
inference(rat,[],[s51,s18,s55]) ).
cnf(s70,plain,
~ spl1_1,
inference(rat,[],[s52,s56]) ).
cnf(s76,plain,
$false,
inference(rat,[],[s4,s70]) ).
fof(f7195,plain,
$false,
inference(avatar_sat_refutation,[],[s76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD043-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n006.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 00:36:31 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.78/2.15 % (362948)Input is clausal, will run a generic CNF schedule.
% 10.78/2.15 % (362957)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1421189187:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.78/2.15 % (362957)Instruction limit reached!
% 10.78/2.15 % (362957)------------------------------
% 10.78/2.15 % (362957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.78/2.15 % (362957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.78/2.15 % (362957)CaDiCaL version: 2.1.3
% 10.78/2.15 % (362957)Termination reason: Instruction limit
% 10.78/2.15 % (362957)Termination phase: Saturation
% 10.78/2.15 % (362957)Time elapsed: 0.038 s
% 10.78/2.15 % (362957)Peak memory usage: 88 MB
% 10.78/2.15 % (362957)Instructions burned: 116 (million)
% 10.78/2.15 % (362955)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=354087622:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.78/2.15 % (362954)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1248232293:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.78/2.15 % (362953)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=783712688:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.78/2.15 % (362956)lrs+10_1_sil=8000:sp=occurrence:random_seed=1236341280:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.78/2.15 % (362958)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=773380313:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.78/2.15 % (362959)dis-21_1_sil=8000:lcm=predicate:random_seed=3935575320:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.78/2.15 % (362956)Instruction limit reached!
% 10.78/2.15 % (362956)------------------------------
% 10.78/2.15 % (362956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.78/2.15 % (362956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.78/2.15 % (362956)CaDiCaL version: 2.1.3
% 10.78/2.15 % (362956)Termination reason: Instruction limit
% 10.78/2.15 % (362956)Termination phase: Saturation
% 10.78/2.15 % (362956)Time elapsed: 0.069 s
% 10.78/2.15 % (362956)Peak memory usage: 89 MB
% 10.78/2.15 % (362956)Instructions burned: 108 (million)
% 10.78/2.15 % (362959)Instruction limit reached!
% 10.78/2.15 % (362959)------------------------------
% 10.78/2.15 % (362959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.78/2.15 % (362959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.78/2.15 % (362959)CaDiCaL version: 2.1.3
% 10.78/2.15 % (362959)Termination reason: Instruction limit
% 10.78/2.15 % (362959)Termination phase: Saturation
% 10.78/2.15 % (362959)Time elapsed: 0.074 s
% 10.78/2.15 % (362959)Peak memory usage: 89 MB
% 10.78/2.15 % (362959)Instructions burned: 118 (million)
% 10.78/2.15 % (362961)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=413877102:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.78/2.15 % (362961)Refutation not found, incomplete strategy
% 10.78/2.15 % (362961)------------------------------
% 10.78/2.15 % (362961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.78/2.15 % (362961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.78/2.15 % (362961)CaDiCaL version: 2.1.3
% 10.78/2.15 % (362961)Termination reason: Refutation not found, incomplete strategy
% 10.78/2.15 % (362961)Time elapsed: 0.001 s
% 10.78/2.15 % (362961)Peak memory usage: 87 MB
% 10.78/2.15 % (362958)Instruction limit reached!
% 10.78/2.15 % (362958)------------------------------
% 10.78/2.15 % (362958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.78/2.15 % (362958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.78/2.15 % (362958)CaDiCaL version: 2.1.3
% 10.78/2.15 % (362958)Termination reason: Instruction limit
% 10.78/2.15 % (362958)Termination phase: Saturation
% 10.78/2.15 % (362958)Time elapsed: 0.122 s
% 10.78/2.15 % (362958)Peak memory usage: 89 MB
% 10.78/2.15 % (362958)Instructions burned: 181 (million)
% 10.78/2.15 % (362968)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3225087598:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 17.15/3.09 % (362969)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3645525997:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 17.15/3.09 % (362961)------------------------------
% 17.15/3.09 % (362961)------------------------------
% 17.15/3.09 % (362971)lrs+10_64_to=lpo:sil=8000:random_seed=1437280828:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 17.15/3.09 % (362968)Instruction limit reached!
% 17.15/3.09 % (362968)------------------------------
% 17.15/3.09 % (362968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.09 % (362968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.09 % (362968)CaDiCaL version: 2.1.3
% 17.15/3.09 % (362968)Termination reason: Instruction limit
% 17.15/3.09 % (362968)Termination phase: Saturation
% 17.15/3.09 % (362968)Time elapsed: 0.099 s
% 17.15/3.09 % (362968)Peak memory usage: 94 MB
% 17.15/3.09 % (362968)Instructions burned: 190 (million)
% 17.15/3.09 % (362971)Instruction limit reached!
% 17.15/3.09 % (362971)------------------------------
% 17.15/3.09 % (362971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.09 % (362971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.09 % (362971)CaDiCaL version: 2.1.3
% 17.15/3.09 % (362971)Termination reason: Instruction limit
% 17.15/3.09 % (362971)Termination phase: Saturation
% 17.15/3.09 % (362971)Time elapsed: 0.084 s
% 17.15/3.09 % (362971)Peak memory usage: 89 MB
% 17.15/3.09 % (362971)Instructions burned: 128 (million)
% 17.15/3.09 % (362974)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2165961356:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 17.15/3.09 % (362969)Instruction limit reached!
% 17.15/3.09 % (362969)------------------------------
% 17.15/3.09 % (362969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.09 % (362969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.09 % (362969)CaDiCaL version: 2.1.3
% 17.15/3.09 % (362969)Termination reason: Instruction limit
% 17.15/3.09 % (362969)Termination phase: Saturation
% 17.15/3.09 % (362969)Time elapsed: 0.148 s
% 17.15/3.09 % (362969)Peak memory usage: 90 MB
% 17.15/3.09 % (362969)Instructions burned: 220 (million)
% 17.15/3.09 % (362974)Instruction limit reached!
% 17.15/3.09 % (362974)------------------------------
% 17.15/3.09 % (362974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.09 % (362974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.09 % (362974)CaDiCaL version: 2.1.3
% 17.15/3.09 % (362974)Termination reason: Instruction limit
% 17.15/3.09 % (362974)Termination phase: Saturation
% 17.15/3.09 % (362974)Time elapsed: 0.040 s
% 17.15/3.09 % (362974)Peak memory usage: 87 MB
% 17.15/3.09 % (362974)Instructions burned: 196 (million)
% 17.15/3.09 % (362976)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2131184993:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 17.15/3.09 % (362978)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3261262320:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 17.15/3.09 % (362979)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1027957966:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 17.15/3.09 % (362980)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1930831528:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 17.15/3.09 % (362980)Refutation not found, incomplete strategy
% 17.15/3.09 % (362980)------------------------------
% 17.15/3.09 % (362980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.09 % (362980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.09 % (362980)CaDiCaL version: 2.1.3
% 17.15/3.09 % (362980)Termination reason: Refutation not found, incomplete strategy
% 17.15/3.09 % (362980)Time elapsed: 0.001 s
% 17.15/3.09 % (362980)Peak memory usage: 87 MB
% 17.15/3.09 % (362976)Instruction limit reached!
% 17.15/3.09 % (362976)------------------------------
% 17.15/3.09 % (362976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.09 % (362976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.10 % (362976)CaDiCaL version: 2.1.3
% 17.15/3.10 % (362976)Termination reason: Instruction limit
% 17.15/3.10 % (362976)Termination phase: Saturation
% 17.15/3.10 % (362976)Time elapsed: 0.111 s
% 17.15/3.10 % (362976)Peak memory usage: 90 MB
% 17.15/3.10 % (362976)Instructions burned: 158 (million)
% 17.15/3.10 % (362979)Instruction limit reached!
% 17.15/3.10 % (362979)------------------------------
% 17.15/3.10 % (362979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.10 % (362979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.10 % (362979)CaDiCaL version: 2.1.3
% 17.15/3.10 % (362979)Termination reason: Instruction limit
% 17.15/3.10 % (362979)Termination phase: Saturation
% 17.15/3.10 % (362979)Time elapsed: 0.057 s
% 17.15/3.10 % (362979)Peak memory usage: 90 MB
% 17.15/3.10 % (362979)Instructions burned: 107 (million)
% 17.15/3.10 % (362980)------------------------------
% 17.15/3.10 % (362980)------------------------------
% 17.15/3.10 % (362985)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4274828753:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 17.15/3.10 % (362986)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=713496620:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 17.15/3.10 % (362987)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1274783063:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 17.15/3.10 % (362987)Instruction limit reached!
% 17.15/3.10 % (362987)------------------------------
% 17.15/3.10 % (362987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.10 % (362987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.10 % (362987)CaDiCaL version: 2.1.3
% 17.15/3.10 % (362987)Termination reason: Instruction limit
% 17.15/3.10 % (362987)Termination phase: Saturation
% 17.15/3.10 % (362987)Time elapsed: 0.049 s
% 17.15/3.10 % (362987)Peak memory usage: 90 MB
% 17.15/3.10 % (362987)Instructions burned: 136 (million)
% 17.15/3.10 % (362985)Instruction limit reached!
% 17.15/3.10 % (362985)------------------------------
% 17.15/3.10 % (362985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.10 % (362985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.10 % (362985)CaDiCaL version: 2.1.3
% 17.15/3.10 % (362985)Termination reason: Instruction limit
% 17.15/3.10 % (362985)Termination phase: Saturation
% 17.15/3.10 % (362985)Time elapsed: 0.166 s
% 17.15/3.10 % (362985)Peak memory usage: 89 MB
% 17.15/3.10 % (362985)Instructions burned: 243 (million)
% 17.15/3.10 % (362991)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1961094856:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 17.15/3.10 % (362992)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2456228942:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 17.15/3.10 % (362991)Instruction limit reached!
% 17.15/3.10 % (362991)------------------------------
% 17.15/3.10 % (362991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.10 % (362991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.10 % (362991)CaDiCaL version: 2.1.3
% 17.15/3.10 % (362991)Termination reason: Instruction limit
% 17.15/3.10 % (362991)Termination phase: Saturation
% 17.15/3.10 % (362991)Time elapsed: 0.131 s
% 17.15/3.10 % (362991)Peak memory usage: 106 MB
% 17.15/3.10 % (362991)Instructions burned: 503 (million)
% 17.15/3.10 % (362992)Instruction limit reached!
% 17.15/3.10 % (362992)------------------------------
% 17.15/3.10 % (362992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.10 % (362992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.10 % (362992)CaDiCaL version: 2.1.3
% 17.15/3.10 % (362992)Termination reason: Instruction limit
% 17.15/3.10 % (362992)Termination phase: Saturation
% 17.15/3.10 % (362992)Time elapsed: 0.123 s
% 17.15/3.10 % (362992)Peak memory usage: 90 MB
% 17.15/3.10 % (362992)Instructions burned: 191 (million)
% 17.15/3.10 % (362995)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3294818208:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 17.15/3.10 % (362995)Instruction limit reached!
% 17.15/3.10 % (362995)------------------------------
% 17.15/3.10 % (362995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.10 % (362995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.10 % (362995)CaDiCaL version: 2.1.3
% 17.15/3.10 % (362995)Termination reason: Instruction limit
% 17.15/3.10 % (362995)Termination phase: Saturation
% 17.15/3.10 % (362995)Time elapsed: 0.093 s
% 17.15/3.10 % (362995)Peak memory usage: 90 MB
% 17.15/3.10 % (362995)Instructions burned: 267 (million)
% 17.15/3.10 % (362996)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2250556030:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 17.15/3.10 % (362996)Instruction limit reached!
% 17.15/3.10 % (362996)------------------------------
% 17.15/3.10 % (362996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.10 % (362996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.10 % (362996)CaDiCaL version: 2.1.3
% 17.15/3.10 % (362996)Termination reason: Instruction limit
% 17.15/3.10 % (362996)Termination phase: Saturation
% 17.15/3.10 % (362996)Time elapsed: 0.065 s
% 17.15/3.10 % (362996)Peak memory usage: 88 MB
% 17.15/3.10 % (362996)Instructions burned: 156 (million)
% 17.15/3.10 % (362998)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=683270247:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 17.15/3.10 % (363000)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1130806757:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 17.15/3.10 % (363000)Instruction limit reached!
% 17.15/3.10 % (363000)------------------------------
% 17.15/3.10 % (363000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.10 % (363000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.10 % (363000)CaDiCaL version: 2.1.3
% 17.15/3.10 % (363000)Termination reason: Instruction limit
% 17.15/3.10 % (363000)Termination phase: Saturation
% 17.15/3.10 % (363000)Time elapsed: 0.322 s
% 17.15/3.10 % (363000)Peak memory usage: 90 MB
% 17.15/3.10 % (363000)Instructions burned: 538 (million)
% 17.15/3.10 % (362955)First to succeed.
% 17.15/3.10 % (362955)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-362948"
% 17.15/3.10 % (363003)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=374967642:i=180:bd=preordered:av=off_2979 on theBenchmark for (2979ds/180Mi)
% 17.15/3.10 % (363003)Instruction limit reached!
% 17.15/3.10 % (363003)------------------------------
% 17.15/3.10 % (363003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.15/3.10 % (363003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.15/3.10 % (363003)CaDiCaL version: 2.1.3
% 17.15/3.10 % (363003)Termination reason: Instruction limit
% 17.15/3.10 % (363003)Termination phase: Saturation
% 17.15/3.10 % (363003)Time elapsed: 0.092 s
% 17.15/3.10 % (363003)Peak memory usage: 93 MB
% 17.15/3.10 % (363003)Instructions burned: 181 (million)
% 17.15/3.10 % (362955)Refutation found. Thanks to Tanya!
% 17.15/3.10 % SZS status Unsatisfiable for theBenchmark
% 17.15/3.10 % SZS output start Proof for theBenchmark
% See solution above
% 17.80/3.29 % (362955)------------------------------
% 17.80/3.29 % (362955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.80/3.29 % (362955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.80/3.29 % (362955)CaDiCaL version: 2.1.3
% 17.80/3.29 % (362955)Termination reason: Refutation
% 17.80/3.29 % (362955)Time elapsed: 2.001 s
% 17.80/3.29 % (362955)Peak memory usage: 142 MB
% 17.80/3.29 % (362955)Instructions burned: 2756 (million)
% 17.80/3.29 % (362955)------------------------------
% 17.80/3.29 % (362955)------------------------------
% 17.80/3.29 % (362948)Success in time 2.436 s
% 17.80/3.29 % Vampire exiting
%------------------------------------------------------------------------------