%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD040-1 : 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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:49:08 AM UTC 2026
% Result : Unsatisfiable 61.33s 14.21s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 97
% Number of leaves : 21
% Syntax : Number of formulae : 126 ( 12 unt; 1 def)
% Number of atoms : 503 ( 2 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 845 ( 468 ~; 377 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 266 ( 266 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
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(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
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(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(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,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(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(a),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse_equals_additive_identity_3) ).
fof(f31,definition,
sF0 = multiplicative_inverse(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f32,plain,
multiplicative_inverse(a) = sF0,
inference(reorient_equations,[],[f31]) ).
fof(f33,plain,
equalish(sF0,additive_identity),
inference(definition_folding,[],[f30,f32]) ).
fof(f35,plain,
( equalish(multiply(a,sF0),multiplicative_identity)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(superposition,[],[f7,f32]) ).
fof(f36,plain,
( equalish(multiply(a,sF0),multiplicative_identity)
| equalish(a,additive_identity) ),
inference(forward_subsumption_resolution,[],[f35,f28]) ).
fof(f37,plain,
equalish(multiply(a,sF0),multiplicative_identity),
inference(forward_subsumption_resolution,[],[f36,f29]) ).
fof(f38,plain,
! [X0] :
( ~ equalish(a,X0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f23,f29]) ).
fof(f41,plain,
( defined(sF0)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(superposition,[],[f15,f32]) ).
fof(f42,plain,
( defined(sF0)
| equalish(a,additive_identity) ),
inference(forward_subsumption_resolution,[],[f41,f28]) ).
fof(f43,plain,
defined(sF0),
inference(forward_subsumption_resolution,[],[f42,f29]) ).
fof(f45,plain,
! [X0] :
( ~ equalish(X0,a)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f38,f22]) ).
fof(f66,plain,
( ~ equalish(add(additive_identity,a),additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f45,f2]) ).
fof(f69,plain,
~ equalish(add(additive_identity,a),additive_identity),
inference(forward_subsumption_resolution,[],[f66,f28]) ).
fof(f70,plain,
! [X0] :
( ~ equalish(add(additive_identity,a),X0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f69,f23]) ).
fof(f73,plain,
! [X0] :
( ~ equalish(add(X0,a),additive_identity)
| ~ defined(a)
| ~ equalish(additive_identity,X0) ),
inference(resolution,[],[f70,f24]) ).
fof(f79,plain,
! [X0] :
( ~ equalish(add(X0,a),additive_identity)
| ~ equalish(additive_identity,X0) ),
inference(forward_subsumption_resolution,[],[f73,f28]) ).
fof(f81,plain,
! [X0,X1] :
( ~ equalish(add(X0,a),X1)
| ~ equalish(additive_identity,X0)
| ~ equalish(X1,additive_identity) ),
inference(resolution,[],[f79,f23]) ).
fof(f85,plain,
! [X0] :
( ~ equalish(additive_identity,X0)
| ~ equalish(add(a,X0),additive_identity)
| ~ defined(X0)
| ~ defined(a) ),
inference(resolution,[],[f81,f4]) ).
fof(f89,plain,
! [X0] :
( ~ equalish(add(a,X0),additive_identity)
| ~ equalish(additive_identity,X0)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f85,f28]) ).
fof(f94,plain,
! [X0,X1] :
( ~ equalish(add(a,X0),X1)
| ~ defined(X0)
| ~ equalish(additive_identity,X0)
| ~ equalish(X1,additive_identity) ),
inference(resolution,[],[f89,f23]) ).
fof(f102,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(additive_identity,add(X0,X1))
| ~ equalish(add(add(a,X0),X1),additive_identity)
| ~ defined(a)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f94,f1]) ).
fof(f109,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(additive_identity,add(X0,X1))
| ~ equalish(add(add(a,X0),X1),additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f102,f28]) ).
fof(f110,plain,
! [X0,X1] :
( ~ equalish(add(add(a,X0),X1),additive_identity)
| ~ equalish(additive_identity,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f109,f10]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(a,X0),X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(additive_identity,add(X0,X1))
| ~ equalish(X2,additive_identity) ),
inference(resolution,[],[f110,f23]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(additive_identity,add(X0,X1))
| ~ equalish(add(X2,X1),additive_identity)
| ~ defined(X1)
| ~ equalish(add(a,X0),X2) ),
inference(resolution,[],[f112,f24]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ equalish(additive_identity,add(X0,X1))
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(add(X2,X1),additive_identity)
| ~ equalish(add(a,X0),X2) ),
inference(duplicate_literal_removal,[],[f175]) ).
fof(f214,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(a,X1),X2)
| ~ defined(X1)
| ~ equalish(add(X2,X0),additive_identity)
| ~ defined(X0)
| ~ equalish(additive_identity,X3)
| ~ equalish(X3,add(X1,X0)) ),
inference(resolution,[],[f183,f23]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(add(add(X0,a),X1),additive_identity)
| ~ defined(X1)
| ~ equalish(additive_identity,X2)
| ~ equalish(X2,add(X0,X1))
| ~ defined(a)
| ~ defined(X0) ),
inference(resolution,[],[f214,f4]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(add(add(X0,a),X1),additive_identity)
| ~ defined(X1)
| ~ equalish(additive_identity,X2)
| ~ equalish(X2,add(X0,X1))
| ~ defined(a) ),
inference(duplicate_literal_removal,[],[f217]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(X0,a),X1),additive_identity)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(additive_identity,X2)
| ~ equalish(X2,add(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f223,f28]) ).
fof(f231,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(add(X0,a),X1),X3)
| ~ defined(X1)
| ~ equalish(additive_identity,X2)
| ~ equalish(X2,add(X0,X1))
| ~ defined(X0)
| ~ equalish(X3,additive_identity) ),
inference(resolution,[],[f227,f23]) ).
fof(f234,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(additive_identity,X1)
| ~ equalish(X1,add(X2,X0))
| ~ defined(X2)
| ~ equalish(add(X3,X0),additive_identity)
| ~ defined(X0)
| ~ equalish(add(X2,a),X3) ),
inference(resolution,[],[f231,f24]) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X3,X0),additive_identity)
| ~ equalish(additive_identity,X1)
| ~ equalish(X1,add(X2,X0))
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(add(X2,a),X3) ),
inference(duplicate_literal_removal,[],[f234]) ).
fof(f244,plain,
! [X2,X0,X1] :
( ~ equalish(additive_identity,X0)
| ~ equalish(X0,add(X1,additive_inverse(X2)))
| ~ defined(X1)
| ~ defined(additive_inverse(X2))
| ~ equalish(add(X1,a),X2)
| ~ defined(X2) ),
inference(resolution,[],[f242,f3]) ).
fof(f250,plain,
! [X2,X0,X1] :
( ~ equalish(X0,add(X1,additive_inverse(X2)))
| ~ equalish(additive_identity,X0)
| ~ defined(X1)
| ~ equalish(add(X1,a),X2)
| ~ defined(X2) ),
inference(forward_subsumption_resolution,[],[f244,f12]) ).
fof(f334,plain,
! [X0,X1] :
( ~ equalish(additive_identity,add(additive_inverse(X0),X1))
| ~ defined(X1)
| ~ equalish(add(X1,a),X0)
| ~ defined(X0)
| ~ defined(additive_inverse(X0))
| ~ defined(X1) ),
inference(resolution,[],[f250,f4]) ).
fof(f338,plain,
! [X0,X1] :
( ~ equalish(additive_identity,add(additive_inverse(X0),X1))
| ~ defined(X1)
| ~ equalish(add(X1,a),X0)
| ~ defined(X0)
| ~ defined(additive_inverse(X0)) ),
inference(duplicate_literal_removal,[],[f334]) ).
fof(f340,plain,
! [X0,X1] :
( ~ equalish(additive_identity,add(additive_inverse(X0),X1))
| ~ defined(X1)
| ~ equalish(add(X1,a),X0)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f338,f12]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ equalish(X2,add(additive_inverse(X1),X0))
| ~ equalish(add(X0,a),X1)
| ~ defined(X1)
| ~ equalish(additive_identity,X2)
| ~ defined(X0) ),
inference(resolution,[],[f340,f23]) ).
fof(f358,plain,
! [X0,X1] :
( ~ equalish(add(X0,a),X1)
| ~ defined(X1)
| ~ equalish(additive_identity,add(X0,additive_inverse(X1)))
| ~ defined(X0)
| ~ defined(X0)
| ~ defined(additive_inverse(X1)) ),
inference(resolution,[],[f343,f4]) ).
fof(f361,plain,
! [X0,X1] :
( ~ equalish(add(X0,a),X1)
| ~ defined(X1)
| ~ equalish(additive_identity,add(X0,additive_inverse(X1)))
| ~ defined(X0)
| ~ defined(additive_inverse(X1)) ),
inference(duplicate_literal_removal,[],[f358]) ).
fof(f363,plain,
! [X0,X1] :
( ~ equalish(additive_identity,add(X0,additive_inverse(X1)))
| ~ defined(X1)
| ~ equalish(add(X0,a),X1)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f361,f12]) ).
fof(f365,plain,
! [X0,X1] :
( ~ equalish(add(X1,additive_inverse(X0)),additive_identity)
| ~ equalish(add(X1,a),X0)
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f363,f22]) ).
fof(f366,plain,
! [X0] :
( ~ equalish(add(X0,a),X0)
| ~ defined(X0)
| ~ defined(X0)
| ~ defined(X0) ),
inference(resolution,[],[f365,f3]) ).
fof(f369,plain,
! [X0] :
( ~ equalish(add(X0,a),X0)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f366]) ).
fof(f371,plain,
! [X0,X1] :
( ~ equalish(add(X0,a),X1)
| ~ defined(X0)
| ~ equalish(X1,X0) ),
inference(resolution,[],[f369,f23]) ).
fof(f380,plain,
! [X0] :
( ~ defined(X0)
| ~ equalish(add(a,X0),X0)
| ~ defined(X0)
| ~ defined(a) ),
inference(resolution,[],[f371,f4]) ).
fof(f384,plain,
! [X0] :
( ~ defined(X0)
| ~ equalish(add(a,X0),X0)
| ~ defined(a) ),
inference(duplicate_literal_removal,[],[f380]) ).
fof(f385,plain,
! [X0] :
( ~ equalish(add(a,X0),X0)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f384,f28]) ).
fof(f387,plain,
! [X0,X1] :
( ~ equalish(add(a,X0),X1)
| ~ defined(X0)
| ~ equalish(X1,X0) ),
inference(resolution,[],[f385,f23]) ).
fof(f408,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(add(add(a,X0),X1),add(X0,X1))
| ~ defined(a)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f387,f1]) ).
fof(f415,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(add(add(a,X0),X1),add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f408,f28]) ).
fof(f416,plain,
! [X0,X1] :
( ~ equalish(add(add(a,X0),X1),add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f415,f10]) ).
fof(f418,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(a,X0),X1),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,add(X0,X1)) ),
inference(resolution,[],[f416,f23]) ).
fof(f428,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X2,X0),add(X1,X0))
| ~ defined(X0)
| ~ equalish(add(a,X1),X2) ),
inference(resolution,[],[f418,f24]) ).
fof(f436,plain,
! [X2,X0,X1] :
( ~ equalish(add(X2,X0),add(X1,X0))
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(add(a,X1),X2) ),
inference(duplicate_literal_removal,[],[f428]) ).
fof(f466,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(a,X0),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(add(X2,X1),X3)
| ~ equalish(X3,add(X0,X1)) ),
inference(resolution,[],[f436,f23]) ).
fof(f473,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(add(X1,a),X0),X2)
| ~ equalish(X2,add(X1,X0))
| ~ defined(a)
| ~ defined(X1) ),
inference(resolution,[],[f466,f4]) ).
fof(f479,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(add(X1,a),X0),X2)
| ~ equalish(X2,add(X1,X0))
| ~ defined(a) ),
inference(duplicate_literal_removal,[],[f473]) ).
fof(f483,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(X1,a),X0),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,add(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f479,f28]) ).
fof(f491,plain,
! [X2,X0,X1] :
( ~ equalish(X2,add(add(X0,a),X1))
| ~ defined(X1)
| ~ equalish(X2,add(X0,X1))
| ~ defined(X0) ),
inference(resolution,[],[f483,f22]) ).
fof(f734,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),add(X2,X0))
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(X1,add(X2,a)) ),
inference(resolution,[],[f491,f24]) ).
fof(f741,plain,
! [X2,X0,X1] :
( ~ equalish(add(X1,X0),add(X2,X0))
| ~ defined(X0)
| ~ defined(X2)
| ~ equalish(X1,add(X2,a)) ),
inference(duplicate_literal_removal,[],[f734]) ).
fof(f745,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X2,X0),X3)
| ~ defined(X1)
| ~ equalish(X2,add(X1,a))
| ~ defined(X0)
| ~ equalish(X3,add(X1,X0)) ),
inference(resolution,[],[f741,f23]) ).
fof(f752,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,add(X0,a))
| ~ defined(X2)
| ~ equalish(add(X3,X2),add(X0,X2))
| ~ defined(X2)
| ~ equalish(X1,X3) ),
inference(resolution,[],[f745,f24]) ).
fof(f761,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X3,X2),add(X0,X2))
| ~ equalish(X1,add(X0,a))
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(X1,X3) ),
inference(duplicate_literal_removal,[],[f752]) ).
fof(f896,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X0,add(X1,a))
| ~ defined(X2)
| ~ defined(X1)
| ~ equalish(X0,X3)
| ~ defined(X2)
| ~ equalish(X3,X1) ),
inference(resolution,[],[f761,f24]) ).
fof(f902,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X0,add(X1,a))
| ~ defined(X2)
| ~ defined(X1)
| ~ equalish(X0,X3)
| ~ equalish(X3,X1) ),
inference(duplicate_literal_removal,[],[f896]) ).
fof(f903,plain,
! [X3,X0,X1] :
( ~ equalish(X0,add(X1,a))
| ~ defined(X1)
| ~ equalish(X0,X3)
| ~ equalish(X3,X1) ),
inference(condensation,[],[f902]) ).
fof(f904,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(X0,a))
| ~ equalish(X1,X2)
| ~ equalish(X2,X0)
| ~ equalish(X1,X3)
| ~ defined(X0) ),
inference(resolution,[],[f903,f23]) ).
fof(f1086,plain,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| ~ equalish(X0,add(a,X2))
| ~ defined(X2)
| ~ defined(a)
| ~ defined(X2) ),
inference(resolution,[],[f904,f4]) ).
fof(f1090,plain,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| ~ equalish(X0,add(a,X2))
| ~ defined(X2)
| ~ defined(a) ),
inference(duplicate_literal_removal,[],[f1086]) ).
fof(f1092,plain,
! [X2,X0,X1] :
( ~ equalish(X0,add(a,X2))
| ~ equalish(X1,X2)
| ~ equalish(X0,X1)
| ~ defined(X2) ),
inference(forward_subsumption_resolution,[],[f1090,f28]) ).
fof(f1098,plain,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(add(X2,X1),X0)
| ~ defined(X1)
| ~ defined(X1)
| ~ equalish(X2,a) ),
inference(resolution,[],[f1092,f24]) ).
fof(f1103,plain,
! [X2,X0,X1] :
( ~ equalish(add(X2,X1),X0)
| ~ equalish(X0,X1)
| ~ defined(X1)
| ~ equalish(X2,a) ),
inference(duplicate_literal_removal,[],[f1098]) ).
fof(f1106,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),X0)
| ~ defined(X0)
| ~ equalish(X1,a)
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f1103,f4]) ).
fof(f1113,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),X0)
| ~ defined(X0)
| ~ equalish(X1,a)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f1106]) ).
fof(f1122,plain,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),X2)
| ~ equalish(X1,a)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,X0) ),
inference(resolution,[],[f1113,f23]) ).
fof(f1593,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),a)
| ~ defined(multiply(X0,X1))
| ~ defined(multiply(X2,X1))
| ~ equalish(multiply(add(X2,X0),X1),multiply(X2,X1))
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f1122,f9]) ).
fof(f1602,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),a)
| ~ defined(multiply(X2,X1))
| ~ equalish(multiply(add(X2,X0),X1),multiply(X2,X1))
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f1593,f13]) ).
fof(f1604,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(add(X2,X0),X1),multiply(X2,X1))
| ~ equalish(multiply(X0,X1),a)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f1602,f13]) ).
fof(f1997,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),a)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X1)
| ~ equalish(add(X2,X0),X2) ),
inference(resolution,[],[f1604,f25]) ).
fof(f2000,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),a)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X2,X0),X2) ),
inference(duplicate_literal_removal,[],[f1997]) ).
fof(f2002,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(X1,X2),X3)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(add(X0,X1),X0)
| ~ defined(X0)
| ~ equalish(X3,a) ),
inference(resolution,[],[f2000,f23]) ).
fof(f2013,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X2,X0),X2)
| ~ defined(X2)
| ~ equalish(multiply(X3,X1),a)
| ~ defined(X1)
| ~ equalish(X0,X3) ),
inference(resolution,[],[f2002,f25]) ).
fof(f2023,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(X3,X1),a)
| ~ defined(X1)
| ~ equalish(add(X2,X0),X2)
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(X0,X3) ),
inference(duplicate_literal_removal,[],[f2013]) ).
fof(f2071,plain,
! [X0,X1] :
( ~ defined(a)
| ~ equalish(add(X0,X1),X0)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X1,multiplicative_identity)
| ~ defined(a) ),
inference(resolution,[],[f2023,f6]) ).
fof(f2074,plain,
! [X0,X1] :
( ~ defined(a)
| ~ equalish(add(X0,X1),X0)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X1,multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f2071]) ).
fof(f2075,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),X0)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X1,multiplicative_identity) ),
inference(forward_subsumption_resolution,[],[f2074,f28]) ).
fof(f2079,plain,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),X2)
| ~ defined(X1)
| ~ equalish(X1,multiplicative_identity)
| ~ defined(X0)
| ~ equalish(X2,X0) ),
inference(resolution,[],[f2075,f23]) ).
fof(f2090,plain,
! [X2,X0,X1] :
( ~ defined(multiply(X0,X1))
| ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(multiply(X2,X1))
| ~ equalish(multiply(add(X2,X0),X1),multiply(X2,X1))
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f2079,f9]) ).
fof(f2099,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(multiply(X2,X1))
| ~ equalish(multiply(add(X2,X0),X1),multiply(X2,X1))
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f2090,f13]) ).
fof(f2102,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(add(X2,X0),X1),multiply(X2,X1))
| ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f2099,f13]) ).
fof(f2337,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X1)
| ~ equalish(add(X2,X0),X2) ),
inference(resolution,[],[f2102,f25]) ).
fof(f2340,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X2,X0),X2) ),
inference(duplicate_literal_removal,[],[f2337]) ).
fof(f2344,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(X1,X2),X3)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(add(X0,X1),X0)
| ~ defined(X0)
| ~ equalish(X3,multiplicative_identity) ),
inference(resolution,[],[f2340,f23]) ).
fof(f2362,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X2,X0),X2)
| ~ defined(X2)
| ~ equalish(multiply(X1,X0),multiplicative_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f2344,f8]) ).
fof(f2370,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X1,X0),multiplicative_identity)
| ~ defined(X1)
| ~ equalish(add(X2,X0),X2)
| ~ defined(X2)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f2362]) ).
fof(f2380,plain,
! [X0] :
( ~ defined(a)
| ~ equalish(add(X0,sF0),X0)
| ~ defined(X0)
| ~ defined(sF0) ),
inference(resolution,[],[f2370,f37]) ).
fof(f2386,plain,
! [X0] :
( ~ equalish(add(X0,sF0),X0)
| ~ defined(X0)
| ~ defined(sF0) ),
inference(forward_subsumption_resolution,[],[f2380,f28]) ).
fof(f2388,plain,
! [X0] :
( ~ equalish(add(X0,sF0),X0)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f2386,f43]) ).
fof(f2395,plain,
! [X0,X1] :
( ~ equalish(add(X0,sF0),X1)
| ~ defined(X0)
| ~ equalish(X1,X0) ),
inference(resolution,[],[f2388,f23]) ).
fof(f2403,plain,
( ~ defined(additive_identity)
| ~ equalish(sF0,additive_identity)
| ~ defined(sF0) ),
inference(resolution,[],[f2395,f2]) ).
fof(f2412,plain,
( ~ equalish(sF0,additive_identity)
| ~ defined(sF0) ),
inference(forward_subsumption_resolution,[],[f2403,f11]) ).
fof(f2413,plain,
~ defined(sF0),
inference(forward_subsumption_resolution,[],[f2412,f33]) ).
fof(f2414,plain,
$false,
inference(forward_subsumption_resolution,[],[f2413,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD040-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n014.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 00:33:45 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running first-order theorem proving
% 0.10/0.25 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
% 11.53/2.32 % (2333457)Input is clausal, will run a generic CNF schedule.
% 11.53/2.32 % (2333463)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2139823142:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.53/2.32 % (2333465)lrs+10_1_sil=8000:sp=occurrence:random_seed=4208534861:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.53/2.32 % (2333462)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=2541387946:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.53/2.32 % (2333464)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3234751989:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.53/2.32 % (2333467)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3534303546:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.53/2.32 % (2333468)dis-21_1_sil=8000:lcm=predicate:random_seed=3954650075: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)
% 11.53/2.32 % (2333466)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3319712033:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.53/2.32 % (2333465)Instruction limit reached!
% 11.53/2.32 % (2333465)------------------------------
% 11.53/2.32 % (2333465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.32 % (2333465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.32 % (2333465)CaDiCaL version: 2.1.3
% 11.53/2.32 % (2333465)Termination reason: Instruction limit
% 11.53/2.32 % (2333465)Termination phase: Saturation
% 11.53/2.32 % (2333465)Time elapsed: 0.067 s
% 11.53/2.32 % (2333465)Peak memory usage: 89 MB
% 11.53/2.32 % (2333465)Instructions burned: 107 (million)
% 11.53/2.32 % (2333466)Instruction limit reached!
% 11.53/2.32 % (2333466)------------------------------
% 11.53/2.32 % (2333466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.32 % (2333466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.32 % (2333466)CaDiCaL version: 2.1.3
% 11.53/2.32 % (2333466)Termination reason: Instruction limit
% 11.53/2.32 % (2333466)Termination phase: Saturation
% 11.53/2.32 % (2333466)Time elapsed: 0.068 s
% 11.53/2.32 % (2333466)Peak memory usage: 88 MB
% 11.53/2.32 % (2333466)Instructions burned: 115 (million)
% 11.53/2.32 % (2333468)Instruction limit reached!
% 11.53/2.32 % (2333468)------------------------------
% 11.53/2.32 % (2333468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.32 % (2333468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.32 % (2333468)CaDiCaL version: 2.1.3
% 11.53/2.32 % (2333468)Termination reason: Instruction limit
% 11.53/2.32 % (2333468)Termination phase: Saturation
% 11.53/2.32 % (2333468)Time elapsed: 0.074 s
% 11.53/2.32 % (2333468)Peak memory usage: 89 MB
% 11.53/2.32 % (2333468)Instructions burned: 117 (million)
% 11.53/2.32 % (2333467)Instruction limit reached!
% 11.53/2.32 % (2333467)------------------------------
% 11.53/2.32 % (2333467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.53/2.32 % (2333467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.53/2.32 % (2333467)CaDiCaL version: 2.1.3
% 11.53/2.32 % (2333467)Termination reason: Instruction limit
% 11.53/2.32 % (2333467)Termination phase: Saturation
% 11.53/2.32 % (2333467)Time elapsed: 0.121 s
% 11.53/2.32 % (2333467)Peak memory usage: 89 MB
% 11.53/2.32 % (2333467)Instructions burned: 181 (million)
% 11.53/2.32 % (2333477)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2752978861:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 11.53/2.32 % (2333478)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1228955453:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.53/2.32 % (2333476)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=999937224:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.53/2.32 % (2333479)lrs+10_64_to=lpo:sil=8000:random_seed=956098984:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 11.53/2.32 % (2333476)Instruction limit reached!
% 21.53/3.90 % (2333476)------------------------------
% 21.53/3.90 % (2333476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.53/3.90 % (2333476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.53/3.90 % (2333476)CaDiCaL version: 2.1.3
% 21.53/3.90 % (2333476)Termination reason: Instruction limit
% 21.53/3.90 % (2333476)Termination phase: Saturation
% 21.53/3.90 % (2333476)Time elapsed: 0.080 s
% 21.53/3.90 % (2333476)Peak memory usage: 88 MB
% 21.53/3.90 % (2333476)Instructions burned: 145 (million)
% 21.53/3.90 % (2333477)Instruction limit reached!
% 21.53/3.90 % (2333477)------------------------------
% 21.53/3.90 % (2333477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.53/3.90 % (2333477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.53/3.90 % (2333477)CaDiCaL version: 2.1.3
% 21.53/3.90 % (2333477)Termination reason: Instruction limit
% 21.53/3.90 % (2333477)Termination phase: Saturation
% 21.53/3.90 % (2333477)Time elapsed: 0.095 s
% 21.53/3.90 % (2333477)Peak memory usage: 94 MB
% 21.53/3.90 % (2333477)Instructions burned: 189 (million)
% 21.53/3.90 % (2333479)Instruction limit reached!
% 21.53/3.90 % (2333479)------------------------------
% 21.53/3.90 % (2333479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.53/3.90 % (2333479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.53/3.90 % (2333479)CaDiCaL version: 2.1.3
% 21.53/3.90 % (2333479)Termination reason: Instruction limit
% 21.53/3.90 % (2333479)Termination phase: Saturation
% 21.53/3.90 % (2333479)Time elapsed: 0.075 s
% 21.53/3.90 % (2333479)Peak memory usage: 89 MB
% 21.53/3.90 % (2333479)Instructions burned: 127 (million)
% 21.53/3.90 % (2333478)Instruction limit reached!
% 21.53/3.90 % (2333478)------------------------------
% 21.53/3.90 % (2333478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.53/3.90 % (2333478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.53/3.90 % (2333478)CaDiCaL version: 2.1.3
% 21.53/3.90 % (2333478)Termination reason: Instruction limit
% 21.53/3.90 % (2333478)Termination phase: Saturation
% 21.53/3.90 % (2333478)Time elapsed: 0.131 s
% 21.53/3.90 % (2333478)Peak memory usage: 89 MB
% 21.53/3.90 % (2333478)Instructions burned: 220 (million)
% 21.53/3.90 % (2333484)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2572825770:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 21.53/3.90 % (2333485)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1157025237:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 21.53/3.90 % (2333486)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1017365956:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 21.53/3.90 % (2333487)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=1574158838:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 21.53/3.90 % (2333484)Instruction limit reached!
% 21.53/3.90 % (2333484)------------------------------
% 21.53/3.90 % (2333484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.53/3.90 % (2333484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.53/3.90 % (2333484)CaDiCaL version: 2.1.3
% 21.53/3.90 % (2333484)Termination reason: Instruction limit
% 21.53/3.90 % (2333484)Termination phase: Saturation
% 21.53/3.90 % (2333484)Time elapsed: 0.109 s
% 21.53/3.90 % (2333484)Peak memory usage: 89 MB
% 21.53/3.90 % (2333484)Instructions burned: 196 (million)
% 21.53/3.90 % (2333487)Instruction limit reached!
% 21.53/3.90 % (2333487)------------------------------
% 21.53/3.90 % (2333487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.53/3.90 % (2333487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.53/3.90 % (2333487)CaDiCaL version: 2.1.3
% 21.53/3.90 % (2333487)Termination reason: Instruction limit
% 21.53/3.90 % (2333487)Termination phase: Saturation
% 21.53/3.90 % (2333487)Time elapsed: 0.056 s
% 21.53/3.90 % (2333487)Peak memory usage: 89 MB
% 21.53/3.90 % (2333487)Instructions burned: 108 (million)
% 21.53/3.90 % (2333485)Instruction limit reached!
% 21.53/3.90 % (2333485)------------------------------
% 21.53/3.90 % (2333485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.53/3.90 % (2333485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.53/3.90 % (2333485)CaDiCaL version: 2.1.3
% 43.69/6.81 % (2333485)Termination reason: Instruction limit
% 43.69/6.81 % (2333485)Termination phase: Saturation
% 43.69/6.81 % (2333485)Time elapsed: 0.104 s
% 43.69/6.81 % (2333485)Peak memory usage: 90 MB
% 43.69/6.81 % (2333485)Instructions burned: 158 (million)
% 43.69/6.81 % (2333493)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=611486258:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 43.69/6.81 % (2333492)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=863212846:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 43.69/6.81 % (2333494)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3761436407:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 43.69/6.81 % (2333492)Instruction limit reached!
% 43.69/6.81 % (2333492)------------------------------
% 43.69/6.81 % (2333492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.69/6.81 % (2333492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.69/6.81 % (2333492)CaDiCaL version: 2.1.3
% 43.69/6.81 % (2333492)Termination reason: Instruction limit
% 43.69/6.81 % (2333492)Termination phase: Saturation
% 43.69/6.81 % (2333492)Time elapsed: 0.064 s
% 43.69/6.81 % (2333492)Peak memory usage: 88 MB
% 43.69/6.81 % (2333492)Instructions burned: 107 (million)
% 43.69/6.81 % (2333493)Instruction limit reached!
% 43.69/6.81 % (2333493)------------------------------
% 43.69/6.81 % (2333493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.69/6.81 % (2333493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.69/6.81 % (2333493)CaDiCaL version: 2.1.3
% 43.69/6.81 % (2333493)Termination reason: Instruction limit
% 43.69/6.81 % (2333493)Termination phase: Saturation
% 43.69/6.81 % (2333493)Time elapsed: 0.166 s
% 43.69/6.81 % (2333493)Peak memory usage: 89 MB
% 43.69/6.81 % (2333493)Instructions burned: 242 (million)
% 43.69/6.81 % (2333498)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3297778865:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 43.69/6.81 % (2333498)Instruction limit reached!
% 43.69/6.81 % (2333498)------------------------------
% 43.69/6.81 % (2333498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.69/6.81 % (2333498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.69/6.81 % (2333498)CaDiCaL version: 2.1.3
% 43.69/6.81 % (2333498)Termination reason: Instruction limit
% 43.69/6.81 % (2333498)Termination phase: Saturation
% 43.69/6.81 % (2333498)Time elapsed: 0.090 s
% 43.69/6.81 % (2333498)Peak memory usage: 89 MB
% 43.69/6.81 % (2333498)Instructions burned: 135 (million)
% 43.69/6.81 % (2333499)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=250695173:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 43.69/6.81 % (2333501)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=371450095:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 43.69/6.81 % (2333499)Instruction limit reached!
% 43.69/6.81 % (2333499)------------------------------
% 43.69/6.81 % (2333499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.69/6.81 % (2333499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.69/6.81 % (2333499)CaDiCaL version: 2.1.3
% 43.69/6.81 % (2333499)Termination reason: Instruction limit
% 43.69/6.81 % (2333499)Termination phase: Saturation
% 43.69/6.81 % (2333499)Time elapsed: 0.243 s
% 43.69/6.81 % (2333499)Peak memory usage: 105 MB
% 43.69/6.81 % (2333499)Instructions burned: 500 (million)
% 43.69/6.81 % (2333501)Instruction limit reached!
% 43.69/6.81 % (2333501)------------------------------
% 43.69/6.81 % (2333501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.69/6.81 % (2333501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.69/6.81 % (2333501)CaDiCaL version: 2.1.3
% 43.69/6.81 % (2333501)Termination reason: Instruction limit
% 43.69/6.81 % (2333501)Termination phase: Saturation
% 43.69/6.81 % (2333501)Time elapsed: 0.124 s
% 43.69/6.81 % (2333501)Peak memory usage: 90 MB
% 43.69/6.81 % (2333501)Instructions burned: 191 (million)
% 43.69/6.81 % (2333504)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3150403240:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 43.69/6.81 % (2333505)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3123377422:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 55.09/8.50 % (2333505)Instruction limit reached!
% 55.09/8.50 % (2333505)------------------------------
% 55.09/8.50 % (2333505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.09/8.50 % (2333505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.09/8.50 % (2333505)CaDiCaL version: 2.1.3
% 55.09/8.50 % (2333505)Termination reason: Instruction limit
% 55.09/8.50 % (2333505)Termination phase: Saturation
% 55.09/8.50 % (2333505)Time elapsed: 0.065 s
% 55.09/8.50 % (2333505)Peak memory usage: 88 MB
% 55.09/8.50 % (2333505)Instructions burned: 157 (million)
% 55.09/8.50 % (2333504)Instruction limit reached!
% 55.09/8.50 % (2333504)------------------------------
% 55.09/8.50 % (2333504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.09/8.50 % (2333504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.09/8.50 % (2333504)CaDiCaL version: 2.1.3
% 55.09/8.50 % (2333504)Termination reason: Instruction limit
% 55.09/8.50 % (2333504)Termination phase: Saturation
% 55.09/8.50 % (2333504)Time elapsed: 0.169 s
% 55.09/8.50 % (2333504)Peak memory usage: 90 MB
% 55.09/8.50 % (2333504)Instructions burned: 265 (million)
% 55.09/8.50 % (2333508)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=1399638935:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 55.09/8.50 % (2333509)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=85572479:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 55.09/8.50 % (2333509)Instruction limit reached!
% 55.09/8.50 % (2333509)------------------------------
% 55.09/8.50 % (2333509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.09/8.50 % (2333509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.09/8.50 % (2333509)CaDiCaL version: 2.1.3
% 55.09/8.50 % (2333509)Termination reason: Instruction limit
% 55.09/8.50 % (2333509)Termination phase: Saturation
% 55.09/8.50 % (2333509)Time elapsed: 0.337 s
% 55.09/8.50 % (2333509)Peak memory usage: 91 MB
% 55.09/8.50 % (2333509)Instructions burned: 537 (million)
% 55.09/8.50 % (2333512)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2430807225:i=180:bd=preordered:av=off_2977 on theBenchmark for (2977ds/180Mi)
% 55.09/8.50 % (2333512)Instruction limit reached!
% 55.09/8.50 % (2333512)------------------------------
% 55.09/8.50 % (2333512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.09/8.50 % (2333512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.09/8.50 % (2333512)CaDiCaL version: 2.1.3
% 55.09/8.50 % (2333512)Termination reason: Instruction limit
% 55.09/8.50 % (2333512)Termination phase: Saturation
% 55.09/8.50 % (2333512)Time elapsed: 0.092 s
% 55.09/8.50 % (2333512)Peak memory usage: 93 MB
% 55.09/8.50 % (2333512)Instructions burned: 181 (million)
% 55.09/8.50 % (2333514)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=3438407386:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2974 on theBenchmark for (2974ds/10307Mi)
% 55.09/8.50 % (2333486)Instruction limit reached!
% 55.09/8.50 % (2333486)------------------------------
% 55.09/8.50 % (2333486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.09/8.50 % (2333486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.09/8.50 % (2333486)CaDiCaL version: 2.1.3
% 55.09/8.50 % (2333486)Termination reason: Instruction limit
% 55.09/8.50 % (2333486)Termination phase: Saturation
% 55.09/8.50 % (2333486)Time elapsed: 2.083 s
% 55.09/8.50 % (2333486)Peak memory usage: 149 MB
% 55.09/8.50 % (2333486)Instructions burned: 3395 (million)
% 55.09/8.50 % (2333516)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=2795487949:i=412:gtgl=4:gtg=exists_all_2972 on theBenchmark for (2972ds/412Mi)
% 55.09/8.50 % (2333516)Instruction limit reached!
% 55.09/8.50 % (2333516)------------------------------
% 55.09/8.50 % (2333516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.09/8.50 % (2333516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.09/8.50 % (2333516)CaDiCaL version: 2.1.3
% 55.09/8.50 % (2333516)Termination reason: Instruction limit
% 55.09/8.50 % (2333516)Termination phase: Saturation
% 81.52/12.20 % (2333516)Time elapsed: 0.253 s
% 81.52/12.20 % (2333516)Peak memory usage: 93 MB
% 81.52/12.20 % (2333516)Instructions burned: 413 (million)
% 81.52/12.20 % (2333518)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=3879946727:s2pl=no:i=8478:s2at=4:nm=6_2967 on theBenchmark for (2967ds/8478Mi)
% 81.52/12.20 % (2333508)Instruction limit reached!
% 81.52/12.20 % (2333508)------------------------------
% 81.52/12.20 % (2333508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.52/12.20 % (2333508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.52/12.20 % (2333508)CaDiCaL version: 2.1.3
% 81.52/12.20 % (2333508)Termination reason: Instruction limit
% 81.52/12.20 % (2333508)Termination phase: Saturation
% 81.52/12.20 % (2333508)Time elapsed: 1.687 s
% 81.52/12.20 % (2333508)Peak memory usage: 134 MB
% 81.52/12.20 % (2333508)Instructions burned: 3257 (million)
% 81.52/12.20 % (2333520)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=3990431564:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2964 on theBenchmark for (2964ds/303Mi)
% 81.52/12.20 % (2333520)Instruction limit reached!
% 81.52/12.20 % (2333520)------------------------------
% 81.52/12.20 % (2333520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.52/12.20 % (2333520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.52/12.20 % (2333520)CaDiCaL version: 2.1.3
% 81.52/12.20 % (2333520)Termination reason: Instruction limit
% 81.52/12.20 % (2333520)Termination phase: Saturation
% 81.52/12.20 % (2333520)Time elapsed: 0.149 s
% 81.52/12.20 % (2333520)Peak memory usage: 88 MB
% 81.52/12.20 % (2333520)Instructions burned: 305 (million)
% 81.52/12.20 % (2333522)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=3229030443:st=4:i=720:sd=3:fsr=off:ss=axioms_2961 on theBenchmark for (2961ds/720Mi)
% 81.52/12.20 % (2333494)Instruction limit reached!
% 81.52/12.20 % (2333494)------------------------------
% 81.52/12.20 % (2333494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.52/12.20 % (2333494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.52/12.20 % (2333494)CaDiCaL version: 2.1.3
% 81.52/12.20 % (2333494)Termination reason: Instruction limit
% 81.52/12.20 % (2333494)Termination phase: Saturation
% 81.52/12.20 % (2333494)Time elapsed: 3.170 s
% 81.52/12.20 % (2333494)Peak memory usage: 155 MB
% 81.52/12.20 % (2333494)Instructions burned: 5208 (million)
% 81.52/12.20 % (2333524)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=3452028768:i=598:bs=on:bd=preordered:av=off:ss=axioms_2959 on theBenchmark for (2959ds/598Mi)
% 81.52/12.20 % (2333522)Instruction limit reached!
% 81.52/12.20 % (2333522)------------------------------
% 81.52/12.20 % (2333522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.52/12.20 % (2333522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.52/12.20 % (2333522)CaDiCaL version: 2.1.3
% 81.52/12.20 % (2333522)Termination reason: Instruction limit
% 81.52/12.20 % (2333522)Termination phase: Saturation
% 81.52/12.20 % (2333522)Time elapsed: 0.373 s
% 81.52/12.20 % (2333522)Peak memory usage: 111 MB
% 81.52/12.20 % (2333522)Instructions burned: 721 (million)
% 81.52/12.20 % (2333524)Instruction limit reached!
% 81.52/12.20 % (2333524)------------------------------
% 81.52/12.20 % (2333524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.52/12.20 % (2333524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.52/12.20 % (2333524)CaDiCaL version: 2.1.3
% 81.52/12.20 % (2333524)Termination reason: Instruction limit
% 81.52/12.20 % (2333524)Termination phase: Saturation
% 81.52/12.20 % (2333524)Time elapsed: 0.307 s
% 81.52/12.20 % (2333524)Peak memory usage: 100 MB
% 81.52/12.20 % (2333524)Instructions burned: 600 (million)
% 81.52/12.20 % (2333526)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=3871513642:i=2989:sd=3:ss=axioms:sgt=60_2955 on theBenchmark for (2955ds/2989Mi)
% 81.52/12.20 % (2333528)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=3648199324:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2954 on theBenchmark for (2954ds/1997Mi)
% 81.52/12.20 % (2333528)Instruction limit reached!
% 81.52/12.20 % (2333528)------------------------------
% 61.33/14.21 % (2333528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.33/14.21 % (2333528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.33/14.21 % (2333528)CaDiCaL version: 2.1.3
% 61.33/14.21 % (2333528)Termination reason: Instruction limit
% 61.33/14.21 % (2333528)Termination phase: Saturation
% 61.33/14.21 % (2333528)Time elapsed: 1.394 s
% 61.33/14.21 % (2333528)Peak memory usage: 135 MB
% 61.33/14.21 % (2333528)Instructions burned: 1998 (million)
% 61.33/14.21 % (2333526)Instruction limit reached!
% 61.33/14.21 % (2333526)------------------------------
% 61.33/14.21 % (2333526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.33/14.21 % (2333526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.33/14.21 % (2333526)CaDiCaL version: 2.1.3
% 61.33/14.21 % (2333526)Termination reason: Instruction limit
% 61.33/14.21 % (2333526)Termination phase: Saturation
% 61.33/14.21 % (2333526)Time elapsed: 1.606 s
% 61.33/14.21 % (2333526)Peak memory usage: 132 MB
% 61.33/14.21 % (2333526)Instructions burned: 2991 (million)
% 61.33/14.21 % (2333530)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=3018258126:i=2088:bd=preordered:av=off_2938 on theBenchmark for (2938ds/2088Mi)
% 61.33/14.21 % (2333531)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=2276524979:i=1098:nicw=on_2938 on theBenchmark for (2938ds/1098Mi)
% 61.33/14.21 % (2333531)Instruction limit reached!
% 61.33/14.21 % (2333531)------------------------------
% 61.33/14.21 % (2333531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.33/14.21 % (2333531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.33/14.21 % (2333531)CaDiCaL version: 2.1.3
% 61.33/14.21 % (2333531)Termination reason: Instruction limit
% 61.33/14.21 % (2333531)Termination phase: Saturation
% 61.33/14.21 % (2333531)Time elapsed: 0.544 s
% 61.33/14.21 % (2333531)Peak memory usage: 127 MB
% 61.33/14.21 % (2333531)Instructions burned: 1100 (million)
% 61.33/14.21 % (2333534)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=3966470859:i=433:bd=preordered_2931 on theBenchmark for (2931ds/433Mi)
% 61.33/14.21 % (2333534)Instruction limit reached!
% 61.33/14.21 % (2333534)------------------------------
% 61.33/14.21 % (2333534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.33/14.21 % (2333534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.33/14.21 % (2333534)CaDiCaL version: 2.1.3
% 61.33/14.21 % (2333534)Termination reason: Instruction limit
% 61.33/14.21 % (2333534)Termination phase: Saturation
% 61.33/14.21 % (2333534)Time elapsed: 0.263 s
% 61.33/14.21 % (2333534)Peak memory usage: 96 MB
% 61.33/14.21 % (2333534)Instructions burned: 434 (million)
% 61.33/14.21 % (2333536)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=3428283079:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2926 on theBenchmark for (2926ds/2942Mi)
% 61.33/14.21 % (2333530)Instruction limit reached!
% 61.33/14.21 % (2333530)------------------------------
% 61.33/14.21 % (2333530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.33/14.21 % (2333530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.33/14.21 % (2333530)CaDiCaL version: 2.1.3
% 61.33/14.21 % (2333530)Termination reason: Instruction limit
% 61.33/14.21 % (2333530)Termination phase: Saturation
% 61.33/14.21 % (2333530)Time elapsed: 1.346 s
% 61.33/14.21 % (2333530)Peak memory usage: 134 MB
% 61.33/14.21 % (2333530)Instructions burned: 2089 (million)
% 61.33/14.21 % (2333518)Instruction limit reached!
% 61.33/14.21 % (2333518)------------------------------
% 61.33/14.21 % (2333518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.33/14.21 % (2333518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.33/14.21 % (2333518)CaDiCaL version: 2.1.3
% 61.33/14.21 % (2333518)Termination reason: Instruction limit
% 61.33/14.21 % (2333518)Termination phase: Saturation
% 61.33/14.21 % (2333518)Time elapsed: 4.401 s
% 61.33/14.21 % (2333518)Peak memory usage: 222 MB
% 61.33/14.21 % (2333518)Instructions burned: 8478 (million)
% 61.33/14.21 % (2333538)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=1835981379:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2923 on theBenchmark for (2923ds/6922Mi)
% 61.33/14.21 % (2333539)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=2963439990:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2922 on theBenchmark for (2922ds/596Mi)
% 61.33/14.21 % (2333539)Instruction limit reached!
% 61.33/14.21 % (2333539)------------------------------
% 61.33/14.21 % (2333539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.33/14.21 % (2333539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.33/14.21 % (2333539)CaDiCaL version: 2.1.3
% 61.33/14.21 % (2333539)Termination reason: Instruction limit
% 61.33/14.21 % (2333539)Termination phase: Saturation
% 61.33/14.21 % (2333539)Time elapsed: 0.301 s
% 61.33/14.21 % (2333539)Peak memory usage: 106 MB
% 61.33/14.21 % (2333539)Instructions burned: 598 (million)
% 61.33/14.21 % (2333542)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=3896475615:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2917 on theBenchmark for (2917ds/4123Mi)
% 61.33/14.21 % (2333514)Instruction limit reached!
% 61.33/14.21 % (2333514)------------------------------
% 61.33/14.21 % (2333514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.33/14.21 % (2333514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.33/14.21 % (2333514)CaDiCaL version: 2.1.3
% 61.33/14.21 % (2333514)Termination reason: Instruction limit
% 61.33/14.21 % (2333514)Termination phase: Saturation
% 61.33/14.21 % (2333514)Time elapsed: 5.977 s
% 61.33/14.21 % (2333514)Peak memory usage: 164 MB
% 61.33/14.21 % (2333514)Instructions burned: 10309 (million)
% 61.33/14.21 % (2333544)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1660724502:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2913 on theBenchmark for (2913ds/16411Mi)
% 61.33/14.21 % (2333536)Instruction limit reached!
% 61.33/14.21 % (2333536)------------------------------
% 61.33/14.21 % (2333536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.33/14.21 % (2333536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.33/14.21 % (2333536)CaDiCaL version: 2.1.3
% 61.33/14.21 % (2333536)Termination reason: Instruction limit
% 61.33/14.21 % (2333536)Termination phase: Saturation
% 61.33/14.21 % (2333536)Time elapsed: 2.079 s
% 61.33/14.21 % (2333536)Peak memory usage: 139 MB
% 61.33/14.21 % (2333536)Instructions burned: 2943 (million)
% 61.33/14.21 % (2333546)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=1408796368:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2904 on theBenchmark for (2904ds/1670Mi)
% 61.33/14.21 % (2333546)Instruction limit reached!
% 61.33/14.21 % (2333546)------------------------------
% 61.33/14.21 % (2333546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.33/14.21 % (2333546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.33/14.21 % (2333546)CaDiCaL version: 2.1.3
% 61.33/14.21 % (2333546)Termination reason: Instruction limit
% 61.33/14.21 % (2333546)Termination phase: Saturation
% 61.33/14.21 % (2333546)Time elapsed: 1.024 s
% 61.33/14.21 % (2333546)Peak memory usage: 136 MB
% 61.33/14.21 % (2333546)Instructions burned: 1670 (million)
% 61.33/14.21 % (2333548)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=2112932042:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2892 on theBenchmark for (2892ds/1722Mi)
% 61.33/14.21 % (2333542)Instruction limit reached!
% 61.33/14.21 % (2333542)------------------------------
% 61.33/14.21 % (2333542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.33/14.21 % (2333542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.33/14.21 % (2333542)CaDiCaL version: 2.1.3
% 61.33/14.21 % (2333542)Termination reason: Instruction limit
% 61.33/14.21 % (2333542)Termination phase: Saturation
% 61.33/14.21 % (2333542)Time elapsed: 2.509 s
% 61.33/14.21 % (2333542)Peak memory usage: 162 MB
% 61.33/14.21 % (2333542)Instructions burned: 4124 (million)
% 61.33/14.21 % (2333550)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=1532141116:cts=off:cond=on:i=9530:bs=on:fsd=on_2890 on theBenchmark for (2890ds/9530Mi)
% 61.33/14.21 % (2333538)Instruction limit reached!
% 61.33/14.21 % (2333538)------------------------------
% 61.33/14.21 % (2333538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.33/14.21 % (2333538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.33/14.21 % (2333538)CaDiCaL version: 2.1.3
% 61.33/14.21 % (2333538)Termination reason: Instruction limit
% 61.33/14.21 % (2333538)Termination phase: Saturation
% 61.33/14.21 % (2333538)Time elapsed: 3.696 s
% 61.33/14.21 % (2333538)Peak memory usage: 196 MB
% 61.33/14.21 % (2333538)Instructions burned: 6922 (million)
% 61.33/14.21 % (2333552)lrs+10_1_ncem=casc2026/models/loop4.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2632244487:st=2:i=4495:sd=10:ss=included_2884 on theBenchmark for (2884ds/4495Mi)
% 61.33/14.21 % (2333548)Instruction limit reached!
% 61.33/14.21 % (2333548)------------------------------
% 61.33/14.21 % (2333548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.33/14.21 % (2333548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.33/14.21 % (2333548)CaDiCaL version: 2.1.3
% 61.33/14.21 % (2333548)Termination reason: Instruction limit
% 61.33/14.21 % (2333548)Termination phase: Saturation
% 61.33/14.21 % (2333548)Time elapsed: 1.131 s
% 61.33/14.21 % (2333548)Peak memory usage: 133 MB
% 61.33/14.21 % (2333548)Instructions burned: 1722 (million)
% 61.33/14.21 % (2333554)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=4155102504:cond=fast:i=4920:s2at=1.9:kws=inv_frequency:av=off:er=filter_2879 on theBenchmark for (2879ds/4920Mi)
% 61.33/14.21 % (2333554)First to succeed.
% 61.33/14.21 % (2333554)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2333457"
% 61.33/14.21 % (2333554)Refutation found. Thanks to Tanya!
% 61.33/14.21 % SZS status Unsatisfiable for theBenchmark
% 61.33/14.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/14.41 % (2333554)------------------------------
% 0.21/14.41 % (2333554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/14.41 % (2333554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/14.41 % (2333554)CaDiCaL version: 2.1.3
% 0.21/14.41 % (2333554)Termination reason: Refutation
% 0.21/14.41 % (2333554)Time elapsed: 0.999 s
% 0.21/14.41 % (2333554)Peak memory usage: 132 MB
% 0.21/14.41 % (2333554)Instructions burned: 1469 (million)
% 0.21/14.41 % (2333554)------------------------------
% 0.21/14.41 % (2333554)------------------------------
% 0.21/14.41 % (2333457)Success in time 13.513 s
% 0.21/14.41 % Vampire exiting
%------------------------------------------------------------------------------