%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD011-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 09:48:59 AM UTC 2026
% Result : Unsatisfiable 122.20s 18.12s
% Output : Refutation 122.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 80
% Number of leaves : 35
% Syntax : Number of formulae : 272 ( 25 unt; 15 def)
% Number of atoms : 1086 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1549 ( 735 ~; 799 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 18 ( 17 usr; 16 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 214 ( 0 sgn 214 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,multiply(X1,X2)),multiply(multiply(X0,X1),X2))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication) ).
fof(f6,axiom,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f8,axiom,
! [X0,X1] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
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/sandbox/benchmark/theBenchmark.p',distributivity) ).
fof(f10,axiom,
! [X0,X1] :
( defined(add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_addition) ).
fof(f11,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f13,axiom,
! [X0,X1] :
( defined(multiply(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
fof(f14,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f15,axiom,
! [X0] :
( defined(multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f27,axiom,
~ equalish(additive_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_identities) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_2) ).
fof(f30,negated_conjecture,
~ equalish(multiplicative_inverse(multiplicative_inverse(a)),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse_not_equal_to_a_3) ).
fof(f31,plain,
! [X0] :
( equalish(multiplicative_identity,multiply(X0,multiplicative_inverse(X0)))
| ~ defined(X0)
| equalish(X0,additive_identity) ),
inference(resolution,[],[f22,f7]) ).
fof(f33,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(X1,multiplicative_inverse(X1)))
| equalish(X0,multiplicative_identity)
| ~ defined(X1)
| equalish(X1,additive_identity) ),
inference(resolution,[],[f23,f7]) ).
fof(f35,plain,
! [X0,X1] :
( ~ equalish(X1,add(additive_identity,X0))
| ~ defined(X0)
| equalish(X1,X0) ),
inference(resolution,[],[f2,f23]) ).
fof(f43,plain,
! [X0] :
( ~ defined(X0)
| ~ defined(additive_identity)
| ~ defined(X0)
| equalish(add(X0,additive_identity),X0) ),
inference(resolution,[],[f4,f35]) ).
fof(f46,plain,
! [X0] :
( ~ defined(X0)
| ~ defined(additive_identity)
| equalish(add(X0,additive_identity),X0) ),
inference(duplicate_literal_removal,[],[f43]) ).
fof(f47,plain,
! [X0] :
( equalish(add(X0,additive_identity),X0)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f46,f11]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(X0,X1))
| ~ defined(X1)
| ~ defined(X0)
| equalish(X2,multiply(X1,X0)) ),
inference(resolution,[],[f8,f23]) ).
fof(f50,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(multiplicative_identity,X0))
| ~ defined(X0)
| equalish(X1,X0) ),
inference(resolution,[],[f6,f23]) ).
fof(f53,plain,
! [X0] :
( ~ defined(X0)
| equalish(multiply(X0,multiplicative_identity),X0)
| ~ defined(X0)
| ~ defined(multiplicative_identity) ),
inference(resolution,[],[f50,f8]) ).
fof(f57,plain,
! [X0] :
( ~ defined(X0)
| equalish(multiply(X0,multiplicative_identity),X0)
| ~ defined(multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f53]) ).
fof(f58,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_identity),X0)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f57,f14]) ).
fof(f59,plain,
! [X0] :
( equalish(multiply(multiplicative_inverse(X0),X0),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity)
| ~ defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
inference(resolution,[],[f33,f8]) ).
fof(f63,plain,
! [X0] :
( equalish(multiply(multiplicative_inverse(X0),X0),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity)
| ~ defined(multiplicative_inverse(X0)) ),
inference(duplicate_literal_removal,[],[f59]) ).
fof(f64,plain,
! [X0] :
( equalish(multiply(multiplicative_inverse(X0),X0),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
inference(forward_subsumption_resolution,[],[f63,f15]) ).
fof(f75,plain,
! [X0,X1] :
( ~ equalish(X1,add(X0,additive_identity))
| ~ defined(X0)
| equalish(X1,X0) ),
inference(resolution,[],[f47,f23]) ).
fof(f90,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,additive_identity)
| ~ defined(X0)
| equalish(add(X1,X0),X0) ),
inference(resolution,[],[f24,f35]) ).
fof(f96,plain,
! [X0,X1] :
( equalish(add(X1,X0),X0)
| ~ equalish(X1,additive_identity)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f90]) ).
fof(f98,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,multiplicative_identity)
| ~ defined(X0)
| equalish(multiply(X1,X0),X0) ),
inference(resolution,[],[f25,f50]) ).
fof(f102,plain,
! [X0,X1] :
( equalish(multiply(X1,X0),X0)
| ~ equalish(X1,multiplicative_identity)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f98]) ).
fof(f116,plain,
! [X0] :
( ~ defined(X0)
| equalish(X0,additive_identity)
| equalish(multiplicative_identity,multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
inference(resolution,[],[f31,f33]) ).
fof(f121,plain,
! [X0] :
( ~ defined(X0)
| equalish(X0,additive_identity)
| equalish(multiplicative_identity,multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f116]) ).
fof(f124,definition,
( spl0_1
<=> equalish(multiplicative_identity,multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f126,plain,
( equalish(multiplicative_identity,multiplicative_identity)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f128,definition,
( spl0_2
<=> ! [X0] :
( ~ defined(X0)
| equalish(X0,additive_identity) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f129,plain,
( ! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f130,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f121,f128,f124]) ).
fof(f138,definition,
( spl0_4
<=> equalish(multiplicative_identity,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f139,plain,
( ~ equalish(multiplicative_identity,additive_identity)
| spl0_4 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f140,plain,
( equalish(multiplicative_identity,additive_identity)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f142,plain,
( ~ defined(a)
| ~ spl0_2 ),
inference(resolution,[],[f129,f29]) ).
fof(f145,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f142,f28]) ).
fof(f146,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f145]) ).
fof(f159,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(multiplicative_inverse(X0),X0))
| equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(X1,multiplicative_identity) ),
inference(resolution,[],[f64,f23]) ).
fof(f238,plain,
! [X2,X0,X1] :
( equalish(multiply(multiply(X0,X1),X2),multiply(X0,multiply(X1,X2)))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0) ),
inference(resolution,[],[f5,f22]) ).
fof(f244,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(multiply(X0,X1))
| ~ defined(X2)
| equalish(multiply(multiply(X2,X0),X1),multiply(multiply(X0,X1),X2)) ),
inference(resolution,[],[f238,f48]) ).
fof(f247,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(multiply(X0,X1))
| equalish(multiply(multiply(X2,X0),X1),multiply(multiply(X0,X1),X2)) ),
inference(duplicate_literal_removal,[],[f244]) ).
fof(f248,plain,
! [X2,X0,X1] :
( equalish(multiply(multiply(X2,X0),X1),multiply(multiply(X0,X1),X2))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f247,f13]) ).
fof(f344,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(X0,multiplicative_identity))
| ~ defined(X0)
| equalish(X1,X0) ),
inference(resolution,[],[f58,f23]) ).
fof(f384,plain,
! [X2,X0,X1] :
( ~ equalish(X2,add(X0,X1))
| ~ defined(X1)
| ~ equalish(X0,additive_identity)
| equalish(X2,X1) ),
inference(resolution,[],[f96,f23]) ).
fof(f385,plain,
! [X0,X1] :
( equalish(X1,add(X0,X1))
| ~ defined(X1)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f96,f22]) ).
fof(f413,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,additive_identity)
| equalish(add(X0,X1),X0)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f384,f4]) ).
fof(f414,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,additive_identity)
| equalish(add(X2,X0),X0)
| ~ defined(X0)
| ~ equalish(X2,X1) ),
inference(resolution,[],[f384,f24]) ).
fof(f428,plain,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X1,additive_identity)
| equalish(add(X2,X0),X0)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f414]) ).
fof(f429,plain,
! [X0,X1] :
( equalish(add(X0,X1),X0)
| ~ equalish(X1,additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f413]) ).
fof(f674,plain,
! [X0,X1] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(X1,X0),multiplicative_identity)
| ~ defined(X0)
| ~ equalish(X1,multiplicative_inverse(X0)) ),
inference(resolution,[],[f159,f25]) ).
fof(f686,plain,
! [X0,X1] :
( equalish(multiply(X1,X0),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity)
| ~ equalish(X1,multiplicative_inverse(X0)) ),
inference(duplicate_literal_removal,[],[f674]) ).
fof(f695,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(X0,X1))
| ~ defined(X1)
| ~ equalish(X0,multiplicative_identity)
| equalish(X2,X1) ),
inference(resolution,[],[f102,f23]) ).
fof(f725,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,multiplicative_identity)
| equalish(multiply(X2,X0),X0)
| ~ defined(X0)
| ~ equalish(X2,X1) ),
inference(resolution,[],[f695,f25]) ).
fof(f743,plain,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X1,multiplicative_identity)
| equalish(multiply(X2,X0),X0)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f725]) ).
fof(f783,plain,
! [X0,X1] :
( ~ equalish(multiplicative_identity,multiplicative_identity)
| equalish(multiply(multiply(X0,multiplicative_inverse(X0)),X1),X1)
| ~ defined(X1)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
inference(resolution,[],[f743,f7]) ).
fof(f795,plain,
( ! [X0,X1] :
( equalish(multiply(multiply(X0,multiplicative_inverse(X0)),X1),X1)
| ~ defined(X1)
| ~ defined(X0)
| equalish(X0,additive_identity) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f783,f126]) ).
fof(f798,plain,
( ! [X2,X0,X1] :
( ~ equalish(X2,multiply(multiply(X1,multiplicative_inverse(X1)),X0))
| ~ defined(X1)
| equalish(X1,additive_identity)
| ~ defined(X0)
| equalish(X2,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f795,f23]) ).
fof(f799,plain,
( ! [X0,X1] :
( equalish(X0,multiply(multiply(X1,multiplicative_inverse(X1)),X0))
| ~ defined(X1)
| equalish(X1,additive_identity)
| ~ defined(X0) )
| ~ spl0_1 ),
inference(resolution,[],[f795,f22]) ).
fof(f847,plain,
( ! [X0,X1] :
( ~ defined(X0)
| equalish(X0,additive_identity)
| ~ defined(X1)
| equalish(multiply(multiply(X1,X0),multiplicative_inverse(X0)),X1)
| ~ defined(multiplicative_inverse(X0))
| ~ defined(X1)
| ~ defined(X0) )
| ~ spl0_1 ),
inference(resolution,[],[f798,f248]) ).
fof(f852,plain,
( ! [X0,X1] :
( ~ defined(X0)
| equalish(X0,additive_identity)
| ~ defined(X1)
| equalish(multiply(multiply(X1,X0),multiplicative_inverse(X0)),X1)
| ~ defined(multiplicative_inverse(X0)) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f847]) ).
fof(f863,plain,
( ! [X0,X1] :
( equalish(multiply(multiply(X1,X0),multiplicative_inverse(X0)),X1)
| equalish(X0,additive_identity)
| ~ defined(X1)
| ~ defined(X0) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f852,f15]) ).
fof(f889,plain,
( ! [X2,X0,X1] :
( ~ equalish(X2,multiply(multiply(X1,X0),multiplicative_inverse(X0)))
| ~ defined(X1)
| ~ defined(X0)
| equalish(X0,additive_identity)
| equalish(X2,X1) )
| ~ spl0_1 ),
inference(resolution,[],[f863,f23]) ).
fof(f909,plain,
( ! [X0] :
( ~ defined(X0)
| ~ defined(multiplicative_inverse(X0))
| equalish(multiplicative_inverse(X0),additive_identity)
| equalish(multiplicative_inverse(multiplicative_inverse(X0)),X0)
| ~ defined(X0)
| equalish(X0,additive_identity)
| ~ defined(multiplicative_inverse(multiplicative_inverse(X0))) )
| ~ spl0_1 ),
inference(resolution,[],[f889,f799]) ).
fof(f919,plain,
( ! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| equalish(X1,additive_identity)
| equalish(multiply(X2,multiplicative_inverse(X1)),X0)
| ~ defined(multiplicative_inverse(X1))
| ~ equalish(X2,multiply(X0,X1)) )
| ~ spl0_1 ),
inference(resolution,[],[f889,f25]) ).
fof(f933,plain,
( ! [X0] :
( ~ defined(X0)
| ~ defined(multiplicative_inverse(X0))
| equalish(multiplicative_inverse(X0),additive_identity)
| equalish(multiplicative_inverse(multiplicative_inverse(X0)),X0)
| equalish(X0,additive_identity)
| ~ defined(multiplicative_inverse(multiplicative_inverse(X0))) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f909]) ).
fof(f938,plain,
( ! [X2,X0,X1] :
( equalish(multiply(X2,multiplicative_inverse(X1)),X0)
| ~ defined(X1)
| equalish(X1,additive_identity)
| ~ defined(X0)
| ~ equalish(X2,multiply(X0,X1)) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f919,f15]) ).
fof(f941,plain,
( ! [X0] :
( ~ defined(X0)
| ~ defined(multiplicative_inverse(X0))
| equalish(multiplicative_inverse(X0),additive_identity)
| equalish(multiplicative_inverse(multiplicative_inverse(X0)),X0)
| equalish(X0,additive_identity) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f933,f15]) ).
fof(f943,plain,
( ! [X0] :
( equalish(multiplicative_inverse(multiplicative_inverse(X0)),X0)
| equalish(multiplicative_inverse(X0),additive_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f941,f15]) ).
fof(f944,plain,
( equalish(multiplicative_inverse(a),additive_identity)
| ~ defined(a)
| equalish(a,additive_identity)
| ~ spl0_1 ),
inference(resolution,[],[f943,f30]) ).
fof(f969,plain,
( equalish(multiplicative_inverse(a),additive_identity)
| equalish(a,additive_identity)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f944,f28]) ).
fof(f970,plain,
( equalish(multiplicative_inverse(a),additive_identity)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f969,f29]) ).
fof(f972,plain,
( ! [X0] :
( ~ equalish(additive_identity,additive_identity)
| equalish(add(multiplicative_inverse(a),X0),X0)
| ~ defined(X0) )
| ~ spl0_1 ),
inference(resolution,[],[f970,f428]) ).
fof(f973,plain,
( ! [X0] :
( ~ equalish(X0,multiplicative_inverse(a))
| equalish(X0,additive_identity) )
| ~ spl0_1 ),
inference(resolution,[],[f970,f23]) ).
fof(f974,plain,
( equalish(additive_identity,multiplicative_inverse(a))
| ~ spl0_1 ),
inference(resolution,[],[f970,f22]) ).
fof(f976,definition,
( spl0_13
<=> ! [X0] :
( equalish(add(multiplicative_inverse(a),X0),X0)
| ~ defined(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f977,plain,
( ! [X0] :
( equalish(add(multiplicative_inverse(a),X0),X0)
| ~ defined(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f979,definition,
( spl0_14
<=> equalish(additive_identity,additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f981,plain,
( ~ equalish(additive_identity,additive_identity)
| spl0_14 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f982,plain,
( spl0_13
| ~ spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f972,f124,f979,f976]) ).
fof(f985,plain,
( ! [X0] :
( equalish(X0,multiplicative_inverse(a))
| ~ equalish(X0,additive_identity) )
| ~ spl0_1 ),
inference(resolution,[],[f974,f23]) ).
fof(f988,definition,
( spl0_15
<=> ! [X0] :
( equalish(multiply(additive_identity,X0),X0)
| ~ defined(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f989,plain,
( ! [X0] :
( equalish(multiply(additive_identity,X0),X0)
| ~ defined(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f991,definition,
( spl0_16
<=> equalish(multiplicative_inverse(a),multiplicative_identity) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f992,plain,
( equalish(multiplicative_inverse(a),multiplicative_identity)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f993,plain,
( ~ equalish(multiplicative_inverse(a),multiplicative_identity)
| spl0_16 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f1002,plain,
( equalish(additive_identity,additive_identity)
| ~ spl0_1 ),
inference(resolution,[],[f973,f974]) ).
fof(f1011,definition,
( spl0_17
<=> defined(multiplicative_inverse(a)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f1012,plain,
( defined(multiplicative_inverse(a))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1013,plain,
( ~ defined(multiplicative_inverse(a))
| spl0_17 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f1040,plain,
( $false
| ~ spl0_1
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f1002,f981]) ).
fof(f1041,plain,
( ~ spl0_1
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f1040]) ).
fof(f1072,plain,
( ~ defined(a)
| equalish(a,additive_identity)
| spl0_17 ),
inference(resolution,[],[f1013,f15]) ).
fof(f1073,plain,
( equalish(a,additive_identity)
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f1072,f28]) ).
fof(f1074,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f1073,f29]) ).
fof(f1075,plain,
spl0_17,
inference(avatar_contradiction_clause,[],[f1074]) ).
fof(f1078,plain,
( ! [X0,X1] :
( ~ equalish(X1,add(multiplicative_inverse(a),X0))
| ~ defined(X0)
| equalish(X1,X0) )
| ~ spl0_13 ),
inference(resolution,[],[f977,f23]) ).
fof(f1151,definition,
( spl0_30
<=> defined(add(multiplicative_inverse(a),multiplicative_inverse(a))) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f1152,plain,
( defined(add(multiplicative_inverse(a),multiplicative_inverse(a)))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f1153,plain,
( ~ defined(add(multiplicative_inverse(a),multiplicative_inverse(a)))
| spl0_30 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f1342,plain,
( ! [X0] :
( equalish(multiplicative_inverse(a),X0)
| ~ equalish(X0,additive_identity) )
| ~ spl0_1 ),
inference(resolution,[],[f985,f22]) ).
fof(f1502,plain,
( equalish(multiplicative_identity,multiplicative_inverse(a))
| ~ spl0_16 ),
inference(resolution,[],[f992,f22]) ).
fof(f1587,plain,
( ! [X0,X1] :
( ~ defined(X0)
| equalish(add(X1,X0),X0)
| ~ defined(X0)
| ~ equalish(X1,multiplicative_inverse(a)) )
| ~ spl0_13 ),
inference(resolution,[],[f1078,f24]) ).
fof(f1616,plain,
( ! [X0,X1] :
( equalish(add(X1,X0),X0)
| ~ defined(X0)
| ~ equalish(X1,multiplicative_inverse(a)) )
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f1587]) ).
fof(f1627,plain,
( ! [X0,X1] :
( equalish(X0,add(X1,X0))
| ~ equalish(X1,multiplicative_inverse(a))
| ~ defined(X0) )
| ~ spl0_13 ),
inference(resolution,[],[f1616,f22]) ).
fof(f1659,plain,
( ! [X0] :
( equalish(X0,multiply(additive_identity,X0))
| ~ defined(X0) )
| ~ spl0_15 ),
inference(resolution,[],[f989,f22]) ).
fof(f1688,plain,
( ~ defined(multiplicative_identity)
| ~ defined(additive_identity)
| equalish(multiplicative_identity,additive_identity)
| ~ spl0_15 ),
inference(resolution,[],[f1659,f344]) ).
fof(f1696,plain,
( ~ defined(additive_identity)
| equalish(multiplicative_identity,additive_identity)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1688,f14]) ).
fof(f1699,plain,
( equalish(multiplicative_identity,additive_identity)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1696,f11]) ).
fof(f1700,plain,
( $false
| spl0_4
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1699,f139]) ).
fof(f1701,plain,
( spl0_4
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1700]) ).
fof(f1793,plain,
( ! [X0] :
( ~ equalish(X0,multiplicative_inverse(a))
| ~ defined(additive_identity)
| ~ defined(X0)
| equalish(additive_identity,X0) )
| ~ spl0_13 ),
inference(resolution,[],[f1627,f75]) ).
fof(f1808,plain,
( ! [X0] :
( ~ equalish(X0,multiplicative_inverse(a))
| ~ defined(X0)
| equalish(additive_identity,X0) )
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1793,f11]) ).
fof(f2360,plain,
( ~ defined(multiplicative_inverse(a))
| ~ defined(multiplicative_inverse(a))
| spl0_30 ),
inference(resolution,[],[f1153,f10]) ).
fof(f2361,plain,
( ~ defined(multiplicative_inverse(a))
| spl0_30 ),
inference(duplicate_literal_removal,[],[f2360]) ).
fof(f2362,plain,
( $false
| ~ spl0_17
| spl0_30 ),
inference(forward_subsumption_resolution,[],[f2361,f1012]) ).
fof(f2363,plain,
( ~ spl0_17
| spl0_30 ),
inference(avatar_contradiction_clause,[],[f2362]) ).
fof(f2613,plain,
( ! [X0,X1] :
( ~ defined(X0)
| equalish(X0,additive_identity)
| ~ defined(multiplicative_inverse(a))
| ~ equalish(X1,multiply(multiplicative_inverse(a),X0))
| equalish(multiply(X1,multiplicative_inverse(X0)),additive_identity) )
| ~ spl0_1 ),
inference(resolution,[],[f938,f973]) ).
fof(f2615,plain,
( ! [X0,X1] :
( ~ equalish(X1,multiply(multiplicative_inverse(a),X0))
| equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(X1,multiplicative_inverse(X0)),additive_identity) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f2613,f1012]) ).
fof(f2810,plain,
( ~ equalish(multiplicative_identity,additive_identity)
| ~ spl0_1
| spl0_16 ),
inference(resolution,[],[f993,f1342]) ).
fof(f3485,plain,
( ! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(multiply(X0,multiplicative_inverse(a)),multiplicative_inverse(X0)),additive_identity)
| ~ defined(X0)
| ~ defined(multiplicative_inverse(a)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f2615,f8]) ).
fof(f3514,plain,
( ! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(multiply(X0,multiplicative_inverse(a)),multiplicative_inverse(X0)),additive_identity)
| ~ defined(multiplicative_inverse(a)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f3485]) ).
fof(f3518,plain,
( ! [X0] :
( equalish(multiply(multiply(X0,multiplicative_inverse(a)),multiplicative_inverse(X0)),additive_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f3514,f1012]) ).
fof(f3526,plain,
( ! [X0,X1] :
( ~ equalish(X1,multiply(multiply(X0,multiplicative_inverse(a)),multiplicative_inverse(X0)))
| equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(X1,additive_identity) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f3518,f23]) ).
fof(f3556,plain,
( ! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(multiply(multiplicative_inverse(X0),X0),multiplicative_inverse(a)),additive_identity)
| ~ defined(multiplicative_inverse(a))
| ~ defined(multiplicative_inverse(X0))
| ~ defined(X0) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f3526,f248]) ).
fof(f3565,plain,
( ! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(multiply(multiplicative_inverse(X0),X0),multiplicative_inverse(a)),additive_identity)
| ~ defined(multiplicative_inverse(a))
| ~ defined(multiplicative_inverse(X0)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f3556]) ).
fof(f3570,plain,
( ! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(multiply(multiplicative_inverse(X0),X0),multiplicative_inverse(a)),additive_identity)
| ~ defined(multiplicative_inverse(a)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f3565,f15]) ).
fof(f3578,plain,
( ! [X0] :
( equalish(multiply(multiply(multiplicative_inverse(X0),X0),multiplicative_inverse(a)),additive_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f3570,f1012]) ).
fof(f3706,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f2810,f140]) ).
fof(f3707,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f3706]) ).
fof(f3729,plain,
( ~ defined(multiplicative_identity)
| equalish(additive_identity,multiplicative_identity)
| ~ spl0_13
| ~ spl0_16 ),
inference(resolution,[],[f1502,f1808]) ).
fof(f3737,plain,
( equalish(additive_identity,multiplicative_identity)
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f3729,f14]) ).
fof(f3738,plain,
( $false
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f3737,f27]) ).
fof(f3739,plain,
( ~ spl0_13
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f3738]) ).
fof(f4537,plain,
( ! [X0,X1] :
( ~ equalish(X1,multiply(multiply(multiplicative_inverse(X0),X0),multiplicative_inverse(a)))
| equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(X1,additive_identity) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f3578,f23]) ).
fof(f4558,plain,
( ! [X0,X1] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(X1,multiplicative_inverse(a)),additive_identity)
| ~ defined(multiplicative_inverse(a))
| ~ equalish(X1,multiply(multiplicative_inverse(X0),X0)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f4537,f25]) ).
fof(f4569,plain,
( ! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(multiply(multiplicative_inverse(a),multiplicative_inverse(X0)),X0),additive_identity)
| ~ defined(X0)
| ~ defined(multiplicative_inverse(a))
| ~ defined(multiplicative_inverse(X0)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f4537,f248]) ).
fof(f4578,plain,
( ! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(multiply(multiplicative_inverse(a),multiplicative_inverse(X0)),X0),additive_identity)
| ~ defined(multiplicative_inverse(a))
| ~ defined(multiplicative_inverse(X0)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f4569]) ).
fof(f4584,plain,
( ! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(multiply(multiplicative_inverse(a),multiplicative_inverse(X0)),X0),additive_identity)
| ~ defined(multiplicative_inverse(a)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4578,f15]) ).
fof(f4588,plain,
( ! [X0,X1] :
( ~ equalish(X1,multiply(multiplicative_inverse(X0),X0))
| ~ defined(X0)
| equalish(multiply(X1,multiplicative_inverse(a)),additive_identity)
| equalish(X0,additive_identity) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4558,f1012]) ).
fof(f4592,plain,
( ! [X0] :
( equalish(multiply(multiply(multiplicative_inverse(a),multiplicative_inverse(X0)),X0),additive_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4584,f1012]) ).
fof(f4639,plain,
( ! [X0,X1] :
( ~ defined(X0)
| equalish(multiply(multiply(X1,X0),multiplicative_inverse(a)),additive_identity)
| equalish(X0,additive_identity)
| ~ defined(X0)
| ~ equalish(X1,multiplicative_inverse(X0)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f4588,f25]) ).
fof(f4663,plain,
( ! [X0,X1] :
( equalish(multiply(multiply(X1,X0),multiplicative_inverse(a)),additive_identity)
| ~ defined(X0)
| equalish(X0,additive_identity)
| ~ equalish(X1,multiplicative_inverse(X0)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f4639]) ).
fof(f4672,plain,
( ! [X2,X0,X1] :
( ~ equalish(X2,multiply(multiply(X1,X0),multiplicative_inverse(a)))
| equalish(X0,additive_identity)
| ~ equalish(X1,multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X2,additive_identity) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f4663,f23]) ).
fof(f4696,plain,
( ! [X2,X0,X1] :
( equalish(X0,additive_identity)
| ~ equalish(X1,multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(multiply(X2,multiplicative_inverse(a)),additive_identity)
| ~ defined(multiplicative_inverse(a))
| ~ equalish(X2,multiply(X1,X0)) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f4672,f25]) ).
fof(f4727,plain,
( ! [X2,X0,X1] :
( ~ equalish(X2,multiply(X1,X0))
| ~ equalish(X1,multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(multiply(X2,multiplicative_inverse(a)),additive_identity)
| equalish(X0,additive_identity) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4696,f1012]) ).
fof(f4887,plain,
( ! [X0] :
( equalish(additive_identity,multiply(multiply(multiplicative_inverse(a),multiplicative_inverse(X0)),X0))
| equalish(X0,additive_identity)
| ~ defined(X0) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f4592,f22]) ).
fof(f4997,plain,
( ! [X0,X1] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| ~ equalish(multiply(multiply(multiplicative_inverse(a),multiplicative_inverse(X0)),X0),multiplicative_identity)
| equalish(multiply(additive_identity,X1),X1)
| ~ defined(X1) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f4887,f743]) ).
fof(f5011,definition,
( spl0_151
<=> ! [X0] :
( equalish(X0,additive_identity)
| ~ equalish(multiply(multiply(multiplicative_inverse(a),multiplicative_inverse(X0)),X0),multiplicative_identity)
| ~ defined(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f5012,plain,
( ! [X0] :
( ~ equalish(multiply(multiply(multiplicative_inverse(a),multiplicative_inverse(X0)),X0),multiplicative_identity)
| equalish(X0,additive_identity)
| ~ defined(X0) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f5011]) ).
fof(f5013,plain,
( spl0_15
| spl0_151
| ~ spl0_1
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f4997,f1011,f124,f5011,f988]) ).
fof(f5344,definition,
( spl0_155
<=> equalish(multiply(multiplicative_inverse(a),multiplicative_inverse(a)),additive_identity) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f5345,plain,
( ~ equalish(multiply(multiplicative_inverse(a),multiplicative_inverse(a)),additive_identity)
| spl0_155 ),
inference(avatar_component_clause,[],[f5344]) ).
fof(f6579,definition,
( spl0_194
<=> defined(multiply(a,multiplicative_inverse(a))) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f6580,plain,
( defined(multiply(a,multiplicative_inverse(a)))
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f6579]) ).
fof(f6581,plain,
( ~ defined(multiply(a,multiplicative_inverse(a)))
| spl0_194 ),
inference(avatar_component_clause,[],[f6579]) ).
fof(f6584,plain,
( ~ defined(a)
| ~ defined(multiplicative_inverse(a))
| spl0_194 ),
inference(resolution,[],[f6581,f13]) ).
fof(f6585,plain,
( ~ defined(multiplicative_inverse(a))
| spl0_194 ),
inference(forward_subsumption_resolution,[],[f6584,f28]) ).
fof(f6586,plain,
( $false
| ~ spl0_17
| spl0_194 ),
inference(forward_subsumption_resolution,[],[f6585,f1012]) ).
fof(f6587,plain,
( ~ spl0_17
| spl0_194 ),
inference(avatar_contradiction_clause,[],[f6586]) ).
fof(f6887,definition,
( spl0_199
<=> equalish(add(multiplicative_inverse(a),multiplicative_inverse(a)),multiplicative_inverse(a)) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
fof(f6888,plain,
( equalish(add(multiplicative_inverse(a),multiplicative_inverse(a)),multiplicative_inverse(a))
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f6887]) ).
fof(f6889,plain,
( ~ equalish(add(multiplicative_inverse(a),multiplicative_inverse(a)),multiplicative_inverse(a))
| spl0_199 ),
inference(avatar_component_clause,[],[f6887]) ).
fof(f6893,plain,
( ~ equalish(multiplicative_inverse(a),additive_identity)
| ~ defined(multiplicative_inverse(a))
| ~ defined(multiplicative_inverse(a))
| spl0_199 ),
inference(resolution,[],[f6889,f429]) ).
fof(f6899,plain,
( ~ equalish(multiplicative_inverse(a),additive_identity)
| ~ defined(multiplicative_inverse(a))
| spl0_199 ),
inference(duplicate_literal_removal,[],[f6893]) ).
fof(f6905,plain,
( ~ defined(multiplicative_inverse(a))
| ~ spl0_1
| spl0_199 ),
inference(forward_subsumption_resolution,[],[f6899,f970]) ).
fof(f6913,plain,
( $false
| ~ spl0_1
| ~ spl0_17
| spl0_199 ),
inference(forward_subsumption_resolution,[],[f6905,f1012]) ).
fof(f6914,plain,
( ~ spl0_1
| ~ spl0_17
| spl0_199 ),
inference(avatar_contradiction_clause,[],[f6913]) ).
fof(f6924,plain,
( ! [X0] :
( ~ equalish(X0,add(multiplicative_inverse(a),multiplicative_inverse(a)))
| equalish(X0,multiplicative_inverse(a)) )
| ~ spl0_199 ),
inference(resolution,[],[f6888,f23]) ).
fof(f6961,plain,
( equalish(add(multiplicative_inverse(a),add(multiplicative_inverse(a),multiplicative_inverse(a))),multiplicative_inverse(a))
| ~ defined(add(multiplicative_inverse(a),multiplicative_inverse(a)))
| ~ spl0_13
| ~ spl0_199 ),
inference(resolution,[],[f6924,f977]) ).
fof(f7004,plain,
( equalish(add(multiplicative_inverse(a),add(multiplicative_inverse(a),multiplicative_inverse(a))),multiplicative_inverse(a))
| ~ spl0_13
| ~ spl0_30
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f6961,f1152]) ).
fof(f7029,plain,
( equalish(multiplicative_inverse(a),add(multiplicative_inverse(a),add(multiplicative_inverse(a),multiplicative_inverse(a))))
| ~ spl0_13
| ~ spl0_30
| ~ spl0_199 ),
inference(resolution,[],[f7004,f22]) ).
fof(f7665,definition,
( spl0_230
<=> defined(multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a))) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
fof(f7666,plain,
( defined(multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a)))
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f7665]) ).
fof(f7667,plain,
( ~ defined(multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a)))
| spl0_230 ),
inference(avatar_component_clause,[],[f7665]) ).
fof(f7672,plain,
( ~ defined(multiply(a,multiplicative_inverse(a)))
| ~ defined(multiplicative_inverse(a))
| spl0_230 ),
inference(resolution,[],[f7667,f13]) ).
fof(f7673,plain,
( ~ defined(multiplicative_inverse(a))
| ~ spl0_194
| spl0_230 ),
inference(forward_subsumption_resolution,[],[f7672,f6580]) ).
fof(f7674,plain,
( $false
| ~ spl0_17
| ~ spl0_194
| spl0_230 ),
inference(forward_subsumption_resolution,[],[f7673,f1012]) ).
fof(f7675,plain,
( ~ spl0_17
| ~ spl0_194
| spl0_230 ),
inference(avatar_contradiction_clause,[],[f7674]) ).
fof(f7987,plain,
( ! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| ~ defined(X0)
| equalish(X0,additive_identity)
| ~ equalish(multiply(multiplicative_inverse(a),multiplicative_inverse(X0)),multiplicative_inverse(X0)) )
| ~ spl0_151 ),
inference(resolution,[],[f5012,f686]) ).
fof(f7991,plain,
( ! [X0] :
( ~ equalish(multiply(multiplicative_inverse(a),multiplicative_inverse(X0)),multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity) )
| ~ spl0_151 ),
inference(duplicate_literal_removal,[],[f7987]) ).
fof(f7997,plain,
( ~ defined(a)
| equalish(a,additive_identity)
| ~ equalish(multiply(multiplicative_inverse(a),multiplicative_inverse(a)),additive_identity)
| ~ spl0_1
| ~ spl0_151 ),
inference(resolution,[],[f7991,f985]) ).
fof(f7999,plain,
( equalish(a,additive_identity)
| ~ equalish(multiply(multiplicative_inverse(a),multiplicative_inverse(a)),additive_identity)
| ~ spl0_1
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f7997,f28]) ).
fof(f8001,plain,
( ~ equalish(multiply(multiplicative_inverse(a),multiplicative_inverse(a)),additive_identity)
| ~ spl0_1
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f7999,f29]) ).
fof(f8002,plain,
( ~ spl0_155
| ~ spl0_1
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f8001,f5011,f124,f5344]) ).
fof(f8873,plain,
( ! [X2,X0,X1] :
( ~ equalish(X0,multiplicative_inverse(X1))
| ~ defined(X1)
| equalish(multiply(multiply(X2,X1),multiplicative_inverse(a)),additive_identity)
| equalish(X1,additive_identity)
| ~ defined(X1)
| ~ equalish(X2,X0) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f4727,f25]) ).
fof(f8903,plain,
( ! [X2,X0,X1] :
( ~ equalish(X0,multiplicative_inverse(X1))
| ~ defined(X1)
| equalish(multiply(multiply(X2,X1),multiplicative_inverse(a)),additive_identity)
| equalish(X1,additive_identity)
| ~ equalish(X2,X0) )
| ~ spl0_1
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f8873]) ).
fof(f9120,plain,
( ! [X0] :
( ~ defined(a)
| equalish(multiply(multiply(X0,a),multiplicative_inverse(a)),additive_identity)
| equalish(a,additive_identity)
| ~ equalish(X0,add(multiplicative_inverse(a),add(multiplicative_inverse(a),multiplicative_inverse(a)))) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_199 ),
inference(resolution,[],[f8903,f7004]) ).
fof(f9184,plain,
( ! [X0] :
( equalish(multiply(multiply(X0,a),multiplicative_inverse(a)),additive_identity)
| equalish(a,additive_identity)
| ~ equalish(X0,add(multiplicative_inverse(a),add(multiplicative_inverse(a),multiplicative_inverse(a)))) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f9120,f28]) ).
fof(f9194,plain,
( ! [X0] :
( ~ equalish(X0,add(multiplicative_inverse(a),add(multiplicative_inverse(a),multiplicative_inverse(a))))
| equalish(multiply(multiply(X0,a),multiplicative_inverse(a)),additive_identity) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f9184,f29]) ).
fof(f9804,plain,
( equalish(multiply(multiply(multiplicative_inverse(a),a),multiplicative_inverse(a)),additive_identity)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_199 ),
inference(resolution,[],[f9194,f7029]) ).
fof(f9997,plain,
( ! [X0] :
( ~ equalish(X0,multiply(multiply(multiplicative_inverse(a),a),multiplicative_inverse(a)))
| equalish(X0,additive_identity) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_199 ),
inference(resolution,[],[f9804,f23]) ).
fof(f10020,plain,
( equalish(multiply(multiplicative_inverse(a),multiply(a,multiplicative_inverse(a))),additive_identity)
| ~ defined(multiplicative_inverse(a))
| ~ defined(a)
| ~ defined(multiplicative_inverse(a))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_199 ),
inference(resolution,[],[f9997,f5]) ).
fof(f10039,plain,
( equalish(multiply(multiplicative_inverse(a),multiply(a,multiplicative_inverse(a))),additive_identity)
| ~ defined(multiplicative_inverse(a))
| ~ defined(a)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_199 ),
inference(duplicate_literal_removal,[],[f10020]) ).
fof(f10101,plain,
( equalish(multiply(multiplicative_inverse(a),multiply(a,multiplicative_inverse(a))),additive_identity)
| ~ defined(a)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f10039,f1012]) ).
fof(f10158,plain,
( equalish(multiply(multiplicative_inverse(a),multiply(a,multiplicative_inverse(a))),additive_identity)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f10101,f28]) ).
fof(f10171,plain,
( ! [X0] :
( ~ equalish(X0,multiply(multiplicative_inverse(a),multiply(a,multiplicative_inverse(a))))
| equalish(X0,additive_identity) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_199 ),
inference(resolution,[],[f10158,f23]) ).
fof(f10188,plain,
( equalish(multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a)),additive_identity)
| ~ defined(multiply(a,multiplicative_inverse(a)))
| ~ defined(multiplicative_inverse(a))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_199 ),
inference(resolution,[],[f10171,f8]) ).
fof(f10274,plain,
( equalish(multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a)),additive_identity)
| ~ defined(multiplicative_inverse(a))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f10188,f6580]) ).
fof(f10326,plain,
( equalish(multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a)),additive_identity)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f10274,f1012]) ).
fof(f10332,plain,
( ! [X0] :
( ~ equalish(X0,multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a)))
| equalish(X0,additive_identity) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199 ),
inference(resolution,[],[f10326,f23]) ).
fof(f10353,plain,
( ! [X0] :
( equalish(multiply(X0,multiplicative_inverse(a)),additive_identity)
| ~ defined(multiplicative_inverse(a))
| ~ equalish(X0,multiply(a,multiplicative_inverse(a))) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199 ),
inference(resolution,[],[f10332,f25]) ).
fof(f10393,plain,
( ! [X0] :
( ~ equalish(X0,multiply(a,multiplicative_inverse(a)))
| equalish(multiply(X0,multiplicative_inverse(a)),additive_identity) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f10353,f1012]) ).
fof(f10511,definition,
( spl0_463
<=> defined(multiply(multiplicative_inverse(a),multiplicative_inverse(a))) ),
introduced(definition,[new_symbols(definition,[spl0_463])],[avatar_definition]) ).
fof(f10512,plain,
( defined(multiply(multiplicative_inverse(a),multiplicative_inverse(a)))
| ~ spl0_463 ),
inference(avatar_component_clause,[],[f10511]) ).
fof(f10513,plain,
( ~ defined(multiply(multiplicative_inverse(a),multiplicative_inverse(a)))
| spl0_463 ),
inference(avatar_component_clause,[],[f10511]) ).
fof(f10821,plain,
( equalish(multiply(add(multiplicative_inverse(a),multiply(a,multiplicative_inverse(a))),multiplicative_inverse(a)),additive_identity)
| ~ defined(multiply(a,multiplicative_inverse(a)))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199 ),
inference(resolution,[],[f10393,f977]) ).
fof(f10870,plain,
( equalish(multiply(add(multiplicative_inverse(a),multiply(a,multiplicative_inverse(a))),multiplicative_inverse(a)),additive_identity)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f10821,f6580]) ).
fof(f10889,plain,
( ! [X0] :
( ~ equalish(X0,multiply(add(multiplicative_inverse(a),multiply(a,multiplicative_inverse(a))),multiplicative_inverse(a)))
| equalish(X0,additive_identity) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199 ),
inference(resolution,[],[f10870,f23]) ).
fof(f10893,plain,
( equalish(add(multiply(multiplicative_inverse(a),multiplicative_inverse(a)),multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a))),additive_identity)
| ~ defined(multiplicative_inverse(a))
| ~ defined(multiply(a,multiplicative_inverse(a)))
| ~ defined(multiplicative_inverse(a))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199 ),
inference(resolution,[],[f10889,f9]) ).
fof(f10926,plain,
( equalish(add(multiply(multiplicative_inverse(a),multiplicative_inverse(a)),multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a))),additive_identity)
| ~ defined(multiplicative_inverse(a))
| ~ defined(multiply(a,multiplicative_inverse(a)))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199 ),
inference(duplicate_literal_removal,[],[f10893]) ).
fof(f11041,plain,
( equalish(add(multiply(multiplicative_inverse(a),multiplicative_inverse(a)),multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a))),additive_identity)
| ~ defined(multiply(a,multiplicative_inverse(a)))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f10926,f1012]) ).
fof(f11051,plain,
( equalish(add(multiply(multiplicative_inverse(a),multiplicative_inverse(a)),multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a))),additive_identity)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f11041,f6580]) ).
fof(f11054,plain,
( ! [X0] :
( ~ equalish(X0,add(multiply(multiplicative_inverse(a),multiplicative_inverse(a)),multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a))))
| equalish(X0,additive_identity) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199 ),
inference(resolution,[],[f11051,f23]) ).
fof(f11060,plain,
( equalish(add(multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a)),multiply(multiplicative_inverse(a),multiplicative_inverse(a))),additive_identity)
| ~ defined(multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a)))
| ~ defined(multiply(multiplicative_inverse(a),multiplicative_inverse(a)))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199 ),
inference(resolution,[],[f11054,f4]) ).
fof(f11438,plain,
( ~ defined(multiplicative_inverse(a))
| ~ defined(multiplicative_inverse(a))
| spl0_463 ),
inference(resolution,[],[f10513,f13]) ).
fof(f11439,plain,
( ~ defined(multiplicative_inverse(a))
| spl0_463 ),
inference(duplicate_literal_removal,[],[f11438]) ).
fof(f11440,plain,
( $false
| ~ spl0_17
| spl0_463 ),
inference(forward_subsumption_resolution,[],[f11439,f1012]) ).
fof(f11441,plain,
( ~ spl0_17
| spl0_463 ),
inference(avatar_contradiction_clause,[],[f11440]) ).
fof(f11468,plain,
( equalish(add(multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a)),multiply(multiplicative_inverse(a),multiplicative_inverse(a))),additive_identity)
| ~ defined(multiply(multiplicative_inverse(a),multiplicative_inverse(a)))
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f11060,f7666]) ).
fof(f11471,plain,
( equalish(add(multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a)),multiply(multiplicative_inverse(a),multiplicative_inverse(a))),additive_identity)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199
| ~ spl0_230
| ~ spl0_463 ),
inference(forward_subsumption_resolution,[],[f11468,f10512]) ).
fof(f11483,plain,
( ! [X0] :
( ~ equalish(X0,add(multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a)),multiply(multiplicative_inverse(a),multiplicative_inverse(a))))
| equalish(X0,additive_identity) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199
| ~ spl0_230
| ~ spl0_463 ),
inference(resolution,[],[f11471,f23]) ).
fof(f11654,plain,
( equalish(multiply(multiplicative_inverse(a),multiplicative_inverse(a)),additive_identity)
| ~ defined(multiply(multiplicative_inverse(a),multiplicative_inverse(a)))
| ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a)),additive_identity)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| ~ spl0_194
| ~ spl0_199
| ~ spl0_230
| ~ spl0_463 ),
inference(resolution,[],[f11483,f385]) ).
fof(f11805,plain,
( ~ defined(multiply(multiplicative_inverse(a),multiplicative_inverse(a)))
| ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a)),additive_identity)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| spl0_155
| ~ spl0_194
| ~ spl0_199
| ~ spl0_230
| ~ spl0_463 ),
inference(forward_subsumption_resolution,[],[f11654,f5345]) ).
fof(f11808,plain,
( ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),multiplicative_inverse(a)),additive_identity)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| spl0_155
| ~ spl0_194
| ~ spl0_199
| ~ spl0_230
| ~ spl0_463 ),
inference(forward_subsumption_resolution,[],[f11805,f10512]) ).
fof(f11810,plain,
( $false
| ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| spl0_155
| ~ spl0_194
| ~ spl0_199
| ~ spl0_230
| ~ spl0_463 ),
inference(forward_subsumption_resolution,[],[f11808,f10326]) ).
fof(f11811,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| spl0_155
| ~ spl0_194
| ~ spl0_199
| ~ spl0_230
| ~ spl0_463 ),
inference(avatar_contradiction_clause,[],[f11810]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f130]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f146]) ).
cnf(s11,plain,
( ~ spl0_1
| spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f982]) ).
cnf(s19,plain,
( ~ spl0_1
| spl0_14 ),
inference(sat_conversion,[],[f1041]) ).
cnf(s26,plain,
spl0_17,
inference(sat_conversion,[],[f1075]) ).
cnf(s62,plain,
( spl0_4
| ~ spl0_15 ),
inference(sat_conversion,[],[f1701]) ).
cnf(s82,plain,
( ~ spl0_17
| spl0_30 ),
inference(sat_conversion,[],[f2363]) ).
cnf(s143,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f3707]) ).
cnf(s148,plain,
( ~ spl0_13
| ~ spl0_16 ),
inference(sat_conversion,[],[f3739]) ).
cnf(s154,plain,
( ~ spl0_1
| spl0_15
| ~ spl0_17
| spl0_151 ),
inference(sat_conversion,[],[f5013]) ).
cnf(s200,plain,
( ~ spl0_17
| spl0_194 ),
inference(sat_conversion,[],[f6587]) ).
cnf(s209,plain,
( ~ spl0_1
| ~ spl0_17
| spl0_199 ),
inference(sat_conversion,[],[f6914]) ).
cnf(s240,plain,
( ~ spl0_17
| ~ spl0_194
| spl0_230 ),
inference(sat_conversion,[],[f7675]) ).
cnf(s271,plain,
( ~ spl0_1
| ~ spl0_151
| ~ spl0_155 ),
inference(sat_conversion,[],[f8002]) ).
cnf(s565,plain,
( ~ spl0_17
| spl0_463 ),
inference(sat_conversion,[],[f11441]) ).
cnf(s616,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_17
| ~ spl0_30
| spl0_155
| ~ spl0_194
| ~ spl0_199
| ~ spl0_230
| ~ spl0_463 ),
inference(sat_conversion,[],[f11811]) ).
cnf(s641,plain,
spl0_463,
inference(rat,[],[s565,s26]) ).
cnf(s643,plain,
spl0_194,
inference(rat,[],[s200,s26]) ).
cnf(s646,plain,
spl0_30,
inference(rat,[],[s82,s26]) ).
cnf(s648,plain,
spl0_230,
inference(rat,[],[s240,s26,s643]) ).
cnf(s662,plain,
spl0_1,
inference(rat,[],[s1,s3]) ).
cnf(s663,plain,
spl0_199,
inference(rat,[],[s209,s26,s662]) ).
cnf(s670,plain,
spl0_14,
inference(rat,[],[s19,s662]) ).
cnf(s677,plain,
spl0_13,
inference(rat,[],[s11,s670,s662]) ).
cnf(s680,plain,
spl0_155,
inference(rat,[],[s616,s641,s648,s663,s643,s662,s646,s26,s677]) ).
cnf(s687,plain,
~ spl0_16,
inference(rat,[],[s148,s677]) ).
cnf(s704,plain,
~ spl0_151,
inference(rat,[],[s271,s662,s680]) ).
cnf(s707,plain,
~ spl0_4,
inference(rat,[],[s143,s662,s687]) ).
cnf(s709,plain,
spl0_15,
inference(rat,[],[s154,s662,s26,s704]) ).
cnf(s732,plain,
$false,
inference(rat,[],[s62,s709,s707]) ).
fof(f11812,plain,
$false,
inference(avatar_sat_refutation,[],[s732]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD011-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.28 % Computer : n010.cluster.edu
% 0.24/0.28 % Model : x86_64 x86_64
% 0.24/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.28 % Memory : 8046.5625MB
% 0.24/0.28 % OS : Linux 6.8.0-71-generic
% 0.24/0.28 % CPULimit : 300
% 0.24/0.28 % WCLimit : 300
% 0.24/0.28 % DateTime : Tue Sep 29 00:23:17 UTC 2026
% 0.24/0.28 % CPUTime :
% 0.24/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.33 Running first-order theorem proving
% 0.24/0.33 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.18/3.76 % (2511396)Input is clausal, will run a generic CNF schedule.
% 20.18/3.76 % (2511401)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=3614206449:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 20.18/3.76 % (2511406)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=371635380:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 20.18/3.76 % (2511402)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=23647750:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 20.18/3.76 % (2511403)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1184818278:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 20.18/3.76 % (2511405)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1693817656:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 20.18/3.76 % (2511404)lrs+10_1_sil=8000:sp=occurrence:random_seed=2023648444:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 20.18/3.76 % (2511407)dis-21_1_sil=8000:lcm=predicate:random_seed=1089221127: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)
% 20.18/3.76 % (2511404)Instruction limit reached!
% 20.18/3.76 % (2511404)------------------------------
% 20.18/3.76 % (2511404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/3.76 % (2511404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/3.76 % (2511404)CaDiCaL version: 2.1.3
% 20.18/3.76 % (2511404)Termination reason: Instruction limit
% 20.18/3.76 % (2511404)Termination phase: Saturation
% 20.18/3.76 % (2511404)Time elapsed: 0.106 s
% 20.18/3.76 % (2511404)Peak memory usage: 89 MB
% 20.18/3.76 % (2511404)Instructions burned: 109 (million)
% 20.18/3.76 % (2511405)Instruction limit reached!
% 20.18/3.76 % (2511405)------------------------------
% 20.18/3.76 % (2511405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/3.76 % (2511405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/3.76 % (2511405)CaDiCaL version: 2.1.3
% 20.18/3.76 % (2511405)Termination reason: Instruction limit
% 20.18/3.76 % (2511405)Termination phase: Saturation
% 20.18/3.76 % (2511405)Time elapsed: 0.108 s
% 20.18/3.76 % (2511405)Peak memory usage: 88 MB
% 20.18/3.76 % (2511405)Instructions burned: 114 (million)
% 20.18/3.76 % (2511406)Instruction limit reached!
% 20.18/3.76 % (2511406)------------------------------
% 20.18/3.76 % (2511406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/3.76 % (2511406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/3.76 % (2511406)CaDiCaL version: 2.1.3
% 20.18/3.76 % (2511406)Termination reason: Instruction limit
% 20.18/3.76 % (2511406)Termination phase: Saturation
% 20.18/3.76 % (2511406)Time elapsed: 0.194 s
% 20.18/3.76 % (2511406)Peak memory usage: 89 MB
% 20.18/3.76 % (2511406)Instructions burned: 183 (million)
% 20.18/3.76 % (2511407)Instruction limit reached!
% 20.18/3.76 % (2511407)------------------------------
% 20.18/3.76 % (2511407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.18/3.76 % (2511407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.18/3.76 % (2511407)CaDiCaL version: 2.1.3
% 20.18/3.76 % (2511407)Termination reason: Instruction limit
% 20.18/3.76 % (2511407)Termination phase: Saturation
% 20.18/3.76 % (2511407)Time elapsed: 0.126 s
% 20.18/3.76 % (2511407)Peak memory usage: 89 MB
% 20.18/3.76 % (2511407)Instructions burned: 117 (million)
% 20.18/3.76 % (2511418)lrs+10_64_to=lpo:sil=8000:random_seed=3238873805:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 20.18/3.76 % (2511416)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1147074847:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 20.18/3.76 % (2511417)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3392390205:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 20.18/3.76 % (2511415)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=1784092359:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 20.18/3.76 % (2511415)Refutation not found, incomplete strategy
% 33.31/5.70 % (2511415)------------------------------
% 33.31/5.70 % (2511415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.31/5.70 % (2511415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.70 % (2511415)CaDiCaL version: 2.1.3
% 33.31/5.70 % (2511415)Termination reason: Refutation not found, incomplete strategy
% 33.31/5.70 % (2511415)Time elapsed: 0.002 s
% 33.31/5.70 % (2511415)Peak memory usage: 87 MB
% 33.31/5.70 % (2511418)Instruction limit reached!
% 33.31/5.70 % (2511418)------------------------------
% 33.31/5.70 % (2511418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.31/5.70 % (2511418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.70 % (2511418)CaDiCaL version: 2.1.3
% 33.31/5.70 % (2511418)Termination reason: Instruction limit
% 33.31/5.70 % (2511418)Termination phase: Saturation
% 33.31/5.70 % (2511418)Time elapsed: 0.113 s
% 33.31/5.70 % (2511418)Peak memory usage: 89 MB
% 33.31/5.70 % (2511418)Instructions burned: 126 (million)
% 33.31/5.70 % (2511416)Instruction limit reached!
% 33.31/5.70 % (2511416)------------------------------
% 33.31/5.70 % (2511416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.31/5.70 % (2511416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.70 % (2511416)CaDiCaL version: 2.1.3
% 33.31/5.70 % (2511416)Termination reason: Instruction limit
% 33.31/5.70 % (2511416)Termination phase: Saturation
% 33.31/5.70 % (2511416)Time elapsed: 0.162 s
% 33.31/5.70 % (2511416)Peak memory usage: 94 MB
% 33.31/5.70 % (2511416)Instructions burned: 189 (million)
% 33.31/5.70 % (2511417)Instruction limit reached!
% 33.31/5.70 % (2511417)------------------------------
% 33.31/5.70 % (2511417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.31/5.70 % (2511417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.70 % (2511417)CaDiCaL version: 2.1.3
% 33.31/5.70 % (2511417)Termination reason: Instruction limit
% 33.31/5.70 % (2511417)Termination phase: Saturation
% 33.31/5.70 % (2511417)Time elapsed: 0.194 s
% 33.31/5.70 % (2511417)Peak memory usage: 89 MB
% 33.31/5.70 % (2511417)Instructions burned: 219 (million)
% 33.31/5.70 % (2511423)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1833318109:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 33.31/5.70 % (2511415)------------------------------
% 33.31/5.70 % (2511415)------------------------------
% 33.31/5.70 % (2511424)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2940039704:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 33.31/5.70 % (2511423)Instruction limit reached!
% 33.31/5.70 % (2511423)------------------------------
% 33.31/5.70 % (2511423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.31/5.70 % (2511423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.70 % (2511423)CaDiCaL version: 2.1.3
% 33.31/5.70 % (2511423)Termination reason: Instruction limit
% 33.31/5.70 % (2511423)Termination phase: Saturation
% 33.31/5.70 % (2511423)Time elapsed: 0.133 s
% 33.31/5.70 % (2511423)Peak memory usage: 88 MB
% 33.31/5.70 % (2511423)Instructions burned: 196 (million)
% 33.31/5.70 % (2511425)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4211292239:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 33.31/5.70 % (2511424)Instruction limit reached!
% 33.31/5.70 % (2511424)------------------------------
% 33.31/5.70 % (2511424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.31/5.70 % (2511424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.31/5.70 % (2511424)CaDiCaL version: 2.1.3
% 33.31/5.70 % (2511424)Termination reason: Instruction limit
% 33.31/5.70 % (2511424)Termination phase: Saturation
% 33.31/5.70 % (2511424)Time elapsed: 0.168 s
% 33.31/5.70 % (2511424)Peak memory usage: 90 MB
% 33.31/5.70 % (2511424)Instructions burned: 157 (million)
% 33.31/5.70 % (2511427)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=1621124089:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 33.31/5.70 % (2511429)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2172080984:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 33.31/5.70 % (2511429)Refutation not found, incomplete strategy
% 33.31/5.70 % (2511429)------------------------------
% 33.31/5.70 % (2511429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.39/9.53 % (2511429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.39/9.53 % (2511429)CaDiCaL version: 2.1.3
% 61.39/9.53 % (2511429)Termination reason: Refutation not found, incomplete strategy
% 61.39/9.53 % (2511429)Time elapsed: 0.002 s
% 61.39/9.53 % (2511429)Peak memory usage: 87 MB
% 61.39/9.53 % (2511427)Instruction limit reached!
% 61.39/9.53 % (2511427)------------------------------
% 61.39/9.53 % (2511427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.39/9.53 % (2511427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.39/9.53 % (2511427)CaDiCaL version: 2.1.3
% 61.39/9.53 % (2511427)Termination reason: Instruction limit
% 61.39/9.53 % (2511427)Termination phase: Saturation
% 61.39/9.53 % (2511427)Time elapsed: 0.096 s
% 61.39/9.53 % (2511427)Peak memory usage: 89 MB
% 61.39/9.53 % (2511427)Instructions burned: 106 (million)
% 61.39/9.53 % (2511431)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1836223086:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 61.39/9.53 % (2511434)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=534073338:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 61.39/9.53 % (2511429)------------------------------
% 61.39/9.53 % (2511429)------------------------------
% 61.39/9.53 % (2511431)Instruction limit reached!
% 61.39/9.53 % (2511431)------------------------------
% 61.39/9.53 % (2511431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.39/9.53 % (2511431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.39/9.53 % (2511431)CaDiCaL version: 2.1.3
% 61.39/9.53 % (2511431)Termination reason: Instruction limit
% 61.39/9.53 % (2511431)Termination phase: Saturation
% 61.39/9.53 % (2511431)Time elapsed: 0.247 s
% 61.39/9.53 % (2511431)Peak memory usage: 89 MB
% 61.39/9.53 % (2511431)Instructions burned: 242 (million)
% 61.39/9.53 % (2511438)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1659207140:i=499:bd=all_2981 on theBenchmark for (2981ds/499Mi)
% 61.39/9.53 % (2511437)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3645568696:i=134:sd=2:doe=on:ss=axioms:sgt=14_2981 on theBenchmark for (2981ds/134Mi)
% 61.39/9.53 % (2511437)Instruction limit reached!
% 61.39/9.53 % (2511437)------------------------------
% 61.39/9.53 % (2511437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.39/9.53 % (2511437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.39/9.53 % (2511437)CaDiCaL version: 2.1.3
% 61.39/9.53 % (2511437)Termination reason: Instruction limit
% 61.39/9.53 % (2511437)Termination phase: Saturation
% 61.39/9.53 % (2511437)Time elapsed: 0.140 s
% 61.39/9.53 % (2511437)Peak memory usage: 89 MB
% 61.39/9.53 % (2511437)Instructions burned: 135 (million)
% 61.39/9.53 % (2511438)Instruction limit reached!
% 61.39/9.53 % (2511438)------------------------------
% 61.39/9.53 % (2511438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.39/9.53 % (2511438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.39/9.53 % (2511438)CaDiCaL version: 2.1.3
% 61.39/9.53 % (2511438)Termination reason: Instruction limit
% 61.39/9.53 % (2511438)Termination phase: Saturation
% 61.39/9.53 % (2511438)Time elapsed: 0.416 s
% 61.39/9.53 % (2511438)Peak memory usage: 106 MB
% 61.39/9.53 % (2511438)Instructions burned: 499 (million)
% 61.39/9.53 % (2511441)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2282800856:i=191:fgj=on:bd=all_2977 on theBenchmark for (2977ds/191Mi)
% 61.39/9.53 % (2511441)Instruction limit reached!
% 61.39/9.53 % (2511441)------------------------------
% 61.39/9.53 % (2511441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.39/9.53 % (2511441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.39/9.53 % (2511441)CaDiCaL version: 2.1.3
% 61.39/9.53 % (2511441)Termination reason: Instruction limit
% 61.39/9.53 % (2511441)Termination phase: Saturation
% 61.39/9.53 % (2511441)Time elapsed: 0.200 s
% 61.39/9.53 % (2511441)Peak memory usage: 90 MB
% 61.39/9.53 % (2511441)Instructions burned: 191 (million)
% 61.39/9.53 % (2511442)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3055353451:i=264:kws=precedence:fsr=off_2974 on theBenchmark for (2974ds/264Mi)
% 82.62/12.56 % (2511444)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1001490815:cond=on:i=156:bs=on:gtg=exists_all:er=known_2972 on theBenchmark for (2972ds/156Mi)
% 82.62/12.56 % (2511442)Instruction limit reached!
% 82.62/12.56 % (2511442)------------------------------
% 82.62/12.56 % (2511442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.62/12.56 % (2511442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.62/12.56 % (2511442)CaDiCaL version: 2.1.3
% 82.62/12.56 % (2511442)Termination reason: Instruction limit
% 82.62/12.56 % (2511442)Termination phase: Saturation
% 82.62/12.56 % (2511442)Time elapsed: 0.271 s
% 82.62/12.56 % (2511442)Peak memory usage: 90 MB
% 82.62/12.56 % (2511442)Instructions burned: 264 (million)
% 82.62/12.56 % (2511444)Instruction limit reached!
% 82.62/12.56 % (2511444)------------------------------
% 82.62/12.56 % (2511444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.62/12.56 % (2511444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.62/12.56 % (2511444)CaDiCaL version: 2.1.3
% 82.62/12.56 % (2511444)Termination reason: Instruction limit
% 82.62/12.56 % (2511444)Termination phase: Saturation
% 82.62/12.56 % (2511444)Time elapsed: 0.115 s
% 82.62/12.56 % (2511444)Peak memory usage: 88 MB
% 82.62/12.56 % (2511444)Instructions burned: 157 (million)
% 82.62/12.56 % (2511447)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=187452882:i=3256:kws=precedence:bd=preordered:av=off_2968 on theBenchmark for (2968ds/3256Mi)
% 82.62/12.56 % (2511448)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=729888623:i=537:av=off:ss=included_2967 on theBenchmark for (2967ds/537Mi)
% 82.62/12.56 % (2511425)Instruction limit reached!
% 82.62/12.56 % (2511425)------------------------------
% 82.62/12.56 % (2511425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.62/12.56 % (2511425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.62/12.56 % (2511425)CaDiCaL version: 2.1.3
% 82.62/12.56 % (2511425)Termination reason: Instruction limit
% 82.62/12.56 % (2511425)Termination phase: Saturation
% 82.62/12.56 % (2511425)Time elapsed: 2.447 s
% 82.62/12.56 % (2511425)Peak memory usage: 152 MB
% 82.62/12.56 % (2511425)Instructions burned: 3394 (million)
% 82.62/12.56 % (2511448)Instruction limit reached!
% 82.62/12.56 % (2511448)------------------------------
% 82.62/12.56 % (2511448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.62/12.56 % (2511448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.62/12.56 % (2511448)CaDiCaL version: 2.1.3
% 82.62/12.56 % (2511448)Termination reason: Instruction limit
% 82.62/12.56 % (2511448)Termination phase: Saturation
% 82.62/12.56 % (2511448)Time elapsed: 0.358 s
% 82.62/12.56 % (2511448)Peak memory usage: 91 MB
% 82.62/12.56 % (2511448)Instructions burned: 538 (million)
% 82.62/12.56 % (2511451)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3754237054:i=180:bd=preordered:av=off_2963 on theBenchmark for (2963ds/180Mi)
% 82.62/12.56 % (2511452)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2476537240:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2961 on theBenchmark for (2961ds/10307Mi)
% 82.62/12.56 % (2511451)Instruction limit reached!
% 82.62/12.56 % (2511451)------------------------------
% 82.62/12.56 % (2511451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.62/12.56 % (2511451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.62/12.56 % (2511451)CaDiCaL version: 2.1.3
% 82.62/12.56 % (2511451)Termination reason: Instruction limit
% 82.62/12.56 % (2511451)Termination phase: Saturation
% 82.62/12.56 % (2511451)Time elapsed: 0.160 s
% 82.62/12.56 % (2511451)Peak memory usage: 93 MB
% 82.62/12.56 % (2511451)Instructions burned: 184 (million)
% 82.62/12.56 % (2511455)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=3435898483:i=412:gtgl=4:gtg=exists_all_2958 on theBenchmark for (2958ds/412Mi)
% 82.62/12.56 % (2511455)Instruction limit reached!
% 82.62/12.56 % (2511455)------------------------------
% 82.62/12.56 % (2511455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.62/12.56 % (2511455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.62/12.56 % (2511455)CaDiCaL version: 2.1.3
% 103.43/15.47 % (2511455)Termination reason: Instruction limit
% 103.43/15.47 % (2511455)Termination phase: Saturation
% 103.43/15.47 % (2511455)Time elapsed: 0.390 s
% 103.43/15.47 % (2511455)Peak memory usage: 92 MB
% 103.43/15.47 % (2511455)Instructions burned: 412 (million)
% 103.43/15.47 % (2511457)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=61051086:s2pl=no:i=8478:s2at=4:nm=6_2952 on theBenchmark for (2952ds/8478Mi)
% 103.43/15.47 % (2511434)Instruction limit reached!
% 103.43/15.47 % (2511434)------------------------------
% 103.43/15.47 % (2511434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.43/15.47 % (2511434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.43/15.47 % (2511434)CaDiCaL version: 2.1.3
% 103.43/15.47 % (2511434)Termination reason: Instruction limit
% 103.43/15.47 % (2511434)Termination phase: Saturation
% 103.43/15.47 % (2511434)Time elapsed: 5.079 s
% 103.43/15.47 % (2511434)Peak memory usage: 156 MB
% 103.43/15.47 % (2511434)Instructions burned: 5208 (million)
% 103.43/15.47 % (2511447)Instruction limit reached!
% 103.43/15.47 % (2511447)------------------------------
% 103.43/15.47 % (2511447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.43/15.47 % (2511447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.43/15.47 % (2511447)CaDiCaL version: 2.1.3
% 103.43/15.47 % (2511447)Termination reason: Instruction limit
% 103.43/15.47 % (2511447)Termination phase: Saturation
% 103.43/15.47 % (2511447)Time elapsed: 3.496 s
% 103.43/15.47 % (2511447)Peak memory usage: 148 MB
% 103.43/15.47 % (2511447)Instructions burned: 3256 (million)
% 103.43/15.47 % (2511463)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=2535527617:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2931 on theBenchmark for (2931ds/303Mi)
% 103.43/15.47 % (2511464)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=193036971:st=4:i=720:sd=3:fsr=off:ss=axioms_2930 on theBenchmark for (2930ds/720Mi)
% 103.43/15.47 % (2511463)Instruction limit reached!
% 103.43/15.47 % (2511463)------------------------------
% 103.43/15.47 % (2511463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.43/15.47 % (2511463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.43/15.47 % (2511463)CaDiCaL version: 2.1.3
% 103.43/15.47 % (2511463)Termination reason: Instruction limit
% 103.43/15.47 % (2511463)Termination phase: Saturation
% 103.43/15.47 % (2511463)Time elapsed: 0.267 s
% 103.43/15.47 % (2511463)Peak memory usage: 91 MB
% 103.43/15.47 % (2511463)Instructions burned: 304 (million)
% 103.43/15.47 % (2511467)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=1647245341:i=598:bs=on:bd=preordered:av=off:ss=axioms_2925 on theBenchmark for (2925ds/598Mi)
% 103.43/15.47 % (2511464)Instruction limit reached!
% 103.43/15.47 % (2511464)------------------------------
% 103.43/15.47 % (2511464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.43/15.47 % (2511464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.43/15.47 % (2511464)CaDiCaL version: 2.1.3
% 103.43/15.47 % (2511464)Termination reason: Instruction limit
% 103.43/15.47 % (2511464)Termination phase: Saturation
% 103.43/15.47 % (2511464)Time elapsed: 0.659 s
% 103.43/15.47 % (2511464)Peak memory usage: 111 MB
% 103.43/15.47 % (2511464)Instructions burned: 720 (million)
% 103.43/15.47 % (2511469)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=1236274927:i=2989:sd=3:ss=axioms:sgt=60_2920 on theBenchmark for (2920ds/2989Mi)
% 103.43/15.47 % (2511467)Instruction limit reached!
% 103.43/15.47 % (2511467)------------------------------
% 103.43/15.47 % (2511467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.43/15.47 % (2511467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.43/15.47 % (2511467)CaDiCaL version: 2.1.3
% 103.43/15.47 % (2511467)Termination reason: Instruction limit
% 103.43/15.47 % (2511467)Termination phase: Saturation
% 103.43/15.47 % (2511467)Time elapsed: 0.545 s
% 103.43/15.47 % (2511467)Peak memory usage: 100 MB
% 103.43/15.47 % (2511467)Instructions burned: 599 (million)
% 103.43/15.47 % (2511471)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=389657110:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2916 on theBenchmark for (2916ds/1997Mi)
% 122.20/18.12 % (2511452)Instruction limit reached!
% 122.20/18.12 % (2511452)------------------------------
% 122.20/18.12 % (2511452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 122.20/18.12 % (2511452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.20/18.12 % (2511452)CaDiCaL version: 2.1.3
% 122.20/18.12 % (2511452)Termination reason: Instruction limit
% 122.20/18.12 % (2511452)Termination phase: Saturation
% 122.20/18.12 % (2511452)Time elapsed: 5.609 s
% 122.20/18.12 % (2511452)Peak memory usage: 185 MB
% 122.20/18.12 % (2511452)Instructions burned: 10308 (million)
% 122.20/18.12 % (2511473)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=3684818096:i=2088:bd=preordered:av=off_2902 on theBenchmark for (2902ds/2088Mi)
% 122.20/18.12 % (2511471)Instruction limit reached!
% 122.20/18.12 % (2511471)------------------------------
% 122.20/18.12 % (2511471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 122.20/18.12 % (2511471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.20/18.12 % (2511471)CaDiCaL version: 2.1.3
% 122.20/18.12 % (2511471)Termination reason: Instruction limit
% 122.20/18.12 % (2511471)Termination phase: Saturation
% 122.20/18.12 % (2511471)Time elapsed: 2.154 s
% 122.20/18.12 % (2511471)Peak memory usage: 137 MB
% 122.20/18.12 % (2511471)Instructions burned: 1997 (million)
% 122.20/18.12 % (2511469)Instruction limit reached!
% 122.20/18.12 % (2511469)------------------------------
% 122.20/18.12 % (2511469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 122.20/18.12 % (2511469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.20/18.12 % (2511469)CaDiCaL version: 2.1.3
% 122.20/18.12 % (2511469)Termination reason: Instruction limit
% 122.20/18.12 % (2511469)Termination phase: Saturation
% 122.20/18.12 % (2511469)Time elapsed: 2.704 s
% 122.20/18.12 % (2511469)Peak memory usage: 133 MB
% 122.20/18.12 % (2511469)Instructions burned: 2989 (million)
% 122.20/18.12 % (2511473)Instruction limit reached!
% 122.20/18.12 % (2511473)------------------------------
% 122.20/18.12 % (2511473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 122.20/18.12 % (2511473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.20/18.12 % (2511473)CaDiCaL version: 2.1.3
% 122.20/18.12 % (2511473)Termination reason: Instruction limit
% 122.20/18.12 % (2511473)Termination phase: Saturation
% 122.20/18.12 % (2511473)Time elapsed: 1.041 s
% 122.20/18.12 % (2511473)Peak memory usage: 132 MB
% 122.20/18.12 % (2511473)Instructions burned: 2088 (million)
% 122.20/18.12 % (2511475)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=4064122810:i=1098:nicw=on_2892 on theBenchmark for (2892ds/1098Mi)
% 122.20/18.12 % (2511477)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=723912098:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2890 on theBenchmark for (2890ds/2942Mi)
% 122.20/18.12 % (2511476)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=647474296:i=433:bd=preordered_2890 on theBenchmark for (2890ds/433Mi)
% 122.20/18.12 % (2511457)Instruction limit reached!
% 122.20/18.12 % (2511457)------------------------------
% 122.20/18.12 % (2511457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 122.20/18.12 % (2511457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.20/18.12 % (2511457)CaDiCaL version: 2.1.3
% 122.20/18.12 % (2511457)Termination reason: Instruction limit
% 122.20/18.12 % (2511457)Termination phase: Saturation
% 122.20/18.12 % (2511457)Time elapsed: 6.140 s
% 122.20/18.12 % (2511457)Peak memory usage: 176 MB
% 122.20/18.12 % (2511457)Instructions burned: 8478 (million)
% 122.20/18.12 % (2511481)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=2403310205:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2887 on theBenchmark for (2887ds/6922Mi)
% 122.20/18.12 % (2511476)Instruction limit reached!
% 122.20/18.12 % (2511476)------------------------------
% 122.20/18.12 % (2511476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 122.20/18.12 % (2511476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.20/18.12 % (2511476)CaDiCaL version: 2.1.3
% 122.20/18.12 % (2511476)Termination reason: Instruction limit
% 122.20/18.12 % (2511476)Termination phase: Saturation
% 122.20/18.12 % (2511476)Time elapsed: 0.431 s
% 122.20/18.12 % (2511476)Peak memory usage: 97 MB
% 122.20/18.12 % (2511476)Instructions burned: 433 (million)
% 122.20/18.12 % (2511483)dis+10_5:1_sil=8000:tgt=full:plsq=on:plsqc=1:plsqr=32,1:urr=on:fd=off:nwc=0.5:br=off:slsqc=3:slsq=on:random_seed=1798132429:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2883 on theBenchmark for (2883ds/596Mi)
% 122.20/18.12 % (2511475)Instruction limit reached!
% 122.20/18.12 % (2511475)------------------------------
% 122.20/18.12 % (2511475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 122.20/18.12 % (2511475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.20/18.12 % (2511475)CaDiCaL version: 2.1.3
% 122.20/18.12 % (2511475)Termination reason: Instruction limit
% 122.20/18.12 % (2511475)Termination phase: Saturation
% 122.20/18.12 % (2511475)Time elapsed: 0.947 s
% 122.20/18.12 % (2511475)Peak memory usage: 127 MB
% 122.20/18.12 % (2511475)Instructions burned: 1099 (million)
% 122.20/18.12 % (2511485)lrs+21_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=2323521088:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2879 on theBenchmark for (2879ds/4123Mi)
% 122.20/18.12 % (2511483)Instruction limit reached!
% 122.20/18.12 % (2511483)------------------------------
% 122.20/18.12 % (2511483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 122.20/18.12 % (2511483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.20/18.12 % (2511483)CaDiCaL version: 2.1.3
% 122.20/18.12 % (2511483)Termination reason: Instruction limit
% 122.20/18.12 % (2511483)Termination phase: Saturation
% 122.20/18.12 % (2511483)Time elapsed: 0.518 s
% 122.20/18.12 % (2511483)Peak memory usage: 106 MB
% 122.20/18.12 % (2511483)Instructions burned: 597 (million)
% 122.20/18.12 % (2511487)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2312307528:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2875 on theBenchmark for (2875ds/16411Mi)
% 122.20/18.12 % (2511477)Instruction limit reached!
% 122.20/18.12 % (2511477)------------------------------
% 122.20/18.12 % (2511477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 122.20/18.12 % (2511477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.20/18.12 % (2511477)CaDiCaL version: 2.1.3
% 122.20/18.12 % (2511477)Termination reason: Instruction limit
% 122.20/18.12 % (2511477)Termination phase: Saturation
% 122.20/18.12 % (2511477)Time elapsed: 1.667 s
% 122.20/18.12 % (2511477)Peak memory usage: 140 MB
% 122.20/18.12 % (2511477)Instructions burned: 2944 (million)
% 122.20/18.12 % (2511535)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=2012351332:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2871 on theBenchmark for (2871ds/1670Mi)
% 122.20/18.12 % (2511535)Instruction limit reached!
% 122.20/18.12 % (2511535)------------------------------
% 122.20/18.12 % (2511535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 122.20/18.12 % (2511535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.20/18.12 % (2511535)CaDiCaL version: 2.1.3
% 122.20/18.12 % (2511535)Termination reason: Instruction limit
% 122.20/18.12 % (2511535)Termination phase: Saturation
% 122.20/18.12 % (2511535)Time elapsed: 0.605 s
% 122.20/18.12 % (2511535)Peak memory usage: 136 MB
% 122.20/18.12 % (2511535)Instructions burned: 1673 (million)
% 122.20/18.12 % (2511645)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:prc=on:drc=off:fde=unused:sp=reverse_frequency:updr=off:random_seed=2449172036:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2863 on theBenchmark for (2863ds/1722Mi)
% 122.20/18.12 % (2511645)Instruction limit reached!
% 122.20/18.12 % (2511645)------------------------------
% 122.20/18.12 % (2511645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 122.20/18.12 % (2511645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.20/18.12 % (2511645)CaDiCaL version: 2.1.3
% 122.20/18.12 % (2511645)Termination reason: Instruction limit
% 122.20/18.12 % (2511645)Termination phase: Saturation
% 122.20/18.12 % (2511645)Time elapsed: 0.668 s
% 122.20/18.12 % (2511645)Peak memory usage: 135 MB
% 122.20/18.12 % (2511645)Instructions burned: 1725 (million)
% 122.20/18.12 % (2511647)ott-1004_1_anc=all_dependent:to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sas=cadical:sp=const_frequency:acc=on:urr=ec_only:gs=on:s2agt=40:alpa=false:sac=on:random_seed=3823974896:cts=off:cond=on:i=9530:bs=on:fsd=on_2855 on theBenchmark for (2855ds/9530Mi)
% 122.20/18.12 % (2511485)Instruction limit reached!
% 122.20/18.12 % (2511485)------------------------------
% 122.20/18.12 % (2511485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 122.20/18.12 % (2511485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.20/18.12 % (2511485)CaDiCaL version: 2.1.3
% 122.20/18.12 % (2511485)Termination reason: Instruction limit
% 122.20/18.12 % (2511485)Termination phase: Saturation
% 122.20/18.12 % (2511485)Time elapsed: 2.579 s
% 122.20/18.12 % (2511485)Peak memory usage: 160 MB
% 122.20/18.12 % (2511485)Instructions burned: 4125 (million)
% 122.20/18.12 % (2511649)lrs+10_1_ncem=casc2026/models/loop4.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2880421710:st=2:i=4495:sd=10:ss=included_2850 on theBenchmark for (2850ds/4495Mi)
% 122.20/18.12 % (2511481)Instruction limit reached!
% 122.20/18.12 % (2511481)------------------------------
% 122.20/18.12 % (2511481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 122.20/18.12 % (2511481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.20/18.12 % (2511481)CaDiCaL version: 2.1.3
% 122.20/18.12 % (2511481)Termination reason: Instruction limit
% 122.20/18.12 % (2511481)Termination phase: Saturation
% 122.20/18.12 % (2511481)Time elapsed: 3.967 s
% 122.20/18.12 % (2511481)Peak memory usage: 197 MB
% 122.20/18.12 % (2511481)Instructions burned: 6923 (million)
% 122.20/18.12 % (2511651)lrs+1002_1_sfv=off:ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=reverse_arity:spb=non_intro:s2agt=16:random_seed=2047866646:cond=fast:i=4920:s2at=1.9:kws=inv_frequency:av=off:er=filter_2844 on theBenchmark for (2844ds/4920Mi)
% 122.20/18.12 % (2511649)First to succeed.
% 122.20/18.12 % (2511649)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2511396"
% 122.20/18.12 % (2511649)Refutation found. Thanks to Tanya!
% 122.20/18.12 % SZS status Unsatisfiable for theBenchmark
% 122.20/18.12 % SZS output start Proof for theBenchmark
% See solution above
% 122.78/18.22 % (2511649)------------------------------
% 122.78/18.22 % (2511649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 122.78/18.22 % (2511649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 122.78/18.22 % (2511649)CaDiCaL version: 2.1.3
% 122.78/18.22 % (2511649)Termination reason: Refutation
% 122.78/18.22 % (2511649)Time elapsed: 1.765 s
% 122.78/18.22 % (2511649)Peak memory usage: 147 MB
% 122.78/18.22 % (2511649)Instructions burned: 2817 (million)
% 122.78/18.22 % (2511649)------------------------------
% 122.78/18.22 % (2511649)------------------------------
% 122.78/18.22 % (2511396)Success in time 17.216 s
% 122.78/18.22 % Vampire exiting
%------------------------------------------------------------------------------