%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD041-2 : 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 : n007.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 09:49:09 AM UTC 2026
% Result : Unsatisfiable 91.16s 13.58s
% Output : Refutation 91.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 144
% Number of leaves : 26
% Syntax : Number of formulae : 190 ( 14 unt; 1 def)
% Number of atoms : 954 ( 2 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 1646 ( 882 ~; 764 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 522 ( 522 !; 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(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(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(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(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,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f31,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_4) ).
fof(f32,negated_conjecture,
~ equalish(b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_not_equal_to_additive_identity_5) ).
fof(f33,negated_conjecture,
equalish(multiply(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_c_6) ).
fof(f34,negated_conjecture,
equalish(c,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_equals_additive_identity_7) ).
fof(f35,definition,
sF0 = multiply(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f36,plain,
multiply(a,b) = sF0,
inference(reorient_equations,[],[f35]) ).
fof(f37,plain,
equalish(sF0,c),
inference(definition_folding,[],[f33,f36]) ).
fof(f48,plain,
! [X0] :
( ~ equalish(a,X0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f23,f31]) ).
fof(f67,plain,
! [X0] :
( ~ equalish(X0,a)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f48,f22]) ).
fof(f98,plain,
( ~ equalish(add(additive_identity,a),additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f67,f2]) ).
fof(f101,plain,
~ equalish(add(additive_identity,a),additive_identity),
inference(forward_subsumption_resolution,[],[f98,f28]) ).
fof(f103,plain,
! [X0] :
( ~ equalish(add(additive_identity,a),X0)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f101,f23]) ).
fof(f109,plain,
! [X0] :
( ~ equalish(X0,add(additive_identity,a))
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f103,f22]) ).
fof(f244,plain,
! [X0] :
( ~ equalish(add(X0,a),additive_identity)
| ~ defined(a)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f109,f24]) ).
fof(f248,plain,
! [X0] :
( ~ equalish(add(X0,a),additive_identity)
| ~ equalish(X0,additive_identity) ),
inference(forward_subsumption_resolution,[],[f244,f28]) ).
fof(f250,plain,
! [X0,X1] :
( ~ equalish(add(X0,a),X1)
| ~ equalish(X0,additive_identity)
| ~ equalish(X1,additive_identity) ),
inference(resolution,[],[f248,f23]) ).
fof(f253,plain,
! [X0] :
( ~ equalish(X0,additive_identity)
| ~ equalish(add(a,X0),additive_identity)
| ~ defined(X0)
| ~ defined(a) ),
inference(resolution,[],[f250,f4]) ).
fof(f257,plain,
! [X0] :
( ~ equalish(add(a,X0),additive_identity)
| ~ equalish(X0,additive_identity)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f253,f28]) ).
fof(f263,plain,
! [X0,X1] :
( ~ equalish(add(a,X0),X1)
| ~ defined(X0)
| ~ equalish(X0,additive_identity)
| ~ equalish(X1,additive_identity) ),
inference(resolution,[],[f257,f23]) ).
fof(f266,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(add(a,X0),X1),additive_identity)
| ~ defined(a)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f263,f1]) ).
fof(f273,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(add(a,X0),X1),additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f266,f28]) ).
fof(f274,plain,
! [X0,X1] :
( ~ equalish(add(add(a,X0),X1),additive_identity)
| ~ equalish(add(X0,X1),additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f273,f10]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(a,X0),X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(X2,additive_identity) ),
inference(resolution,[],[f274,f23]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(X2,X1),additive_identity)
| ~ defined(X1)
| ~ equalish(add(a,X0),X2) ),
inference(resolution,[],[f277,f24]) ).
fof(f298,plain,
! [X2,X0,X1] :
( ~ equalish(add(a,X0),X2)
| ~ defined(X1)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(add(X2,X1),additive_identity)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f290]) ).
fof(f301,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),additive_identity)
| ~ equalish(add(add(X1,a),X0),additive_identity)
| ~ defined(X1)
| ~ defined(a)
| ~ defined(X1) ),
inference(resolution,[],[f298,f4]) ).
fof(f307,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),additive_identity)
| ~ equalish(add(add(X1,a),X0),additive_identity)
| ~ defined(X1)
| ~ defined(a) ),
inference(duplicate_literal_removal,[],[f301]) ).
fof(f311,plain,
! [X0,X1] :
( ~ equalish(add(add(X1,a),X0),additive_identity)
| ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f307,f28]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(X0,a),X1),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(add(X0,X1),additive_identity)
| ~ equalish(X2,additive_identity) ),
inference(resolution,[],[f311,f23]) ).
fof(f318,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X1,X0),additive_identity)
| ~ equalish(add(X2,X0),additive_identity)
| ~ defined(X0)
| ~ equalish(add(X1,a),X2) ),
inference(resolution,[],[f316,f24]) ).
fof(f326,plain,
! [X2,X0,X1] :
( ~ equalish(add(X2,X0),additive_identity)
| ~ defined(X1)
| ~ equalish(add(X1,X0),additive_identity)
| ~ defined(X0)
| ~ equalish(add(X1,a),X2) ),
inference(duplicate_literal_removal,[],[f318]) ).
fof(f328,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X0,additive_inverse(X1)),additive_identity)
| ~ defined(additive_inverse(X1))
| ~ equalish(add(X0,a),X1)
| ~ defined(X1) ),
inference(resolution,[],[f326,f3]) ).
fof(f334,plain,
! [X0,X1] :
( ~ equalish(add(X0,additive_inverse(X1)),additive_identity)
| ~ defined(X0)
| ~ equalish(add(X0,a),X1)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f328,f12]) ).
fof(f335,plain,
! [X0] :
( ~ defined(X0)
| ~ equalish(add(X0,a),X0)
| ~ defined(X0)
| ~ defined(X0) ),
inference(resolution,[],[f334,f3]) ).
fof(f338,plain,
! [X0] :
( ~ equalish(add(X0,a),X0)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f335]) ).
fof(f341,plain,
! [X0,X1] :
( ~ equalish(add(X0,a),X1)
| ~ defined(X0)
| ~ equalish(X1,X0) ),
inference(resolution,[],[f338,f23]) ).
fof(f349,plain,
! [X0] :
( ~ defined(X0)
| ~ equalish(add(a,X0),X0)
| ~ defined(X0)
| ~ defined(a) ),
inference(resolution,[],[f341,f4]) ).
fof(f353,plain,
! [X0] :
( ~ defined(X0)
| ~ equalish(add(a,X0),X0)
| ~ defined(a) ),
inference(duplicate_literal_removal,[],[f349]) ).
fof(f354,plain,
! [X0] :
( ~ equalish(add(a,X0),X0)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f353,f28]) ).
fof(f357,plain,
! [X0,X1] :
( ~ equalish(add(a,X0),X1)
| ~ defined(X0)
| ~ equalish(X1,X0) ),
inference(resolution,[],[f354,f23]) ).
fof(f373,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(add(add(a,X0),X1),add(X0,X1))
| ~ defined(a)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f357,f1]) ).
fof(f380,plain,
! [X0,X1] :
( ~ defined(add(X0,X1))
| ~ equalish(add(add(a,X0),X1),add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f373,f28]) ).
fof(f381,plain,
! [X0,X1] :
( ~ equalish(add(add(a,X0),X1),add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f380,f10]) ).
fof(f384,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(a,X0),X1),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,add(X0,X1)) ),
inference(resolution,[],[f381,f23]) ).
fof(f398,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X2,X0),add(X1,X0))
| ~ defined(X0)
| ~ equalish(add(a,X1),X2) ),
inference(resolution,[],[f384,f24]) ).
fof(f406,plain,
! [X2,X0,X1] :
( ~ equalish(add(X2,X0),add(X1,X0))
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(add(a,X1),X2) ),
inference(duplicate_literal_removal,[],[f398]) ).
fof(f482,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,[],[f406,f23]) ).
fof(f488,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,[],[f482,f4]) ).
fof(f494,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,[],[f488]) ).
fof(f498,plain,
! [X2,X0,X1] :
( ~ equalish(add(add(X1,a),X0),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,add(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f494,f28]) ).
fof(f505,plain,
! [X2,X0,X1] :
( ~ equalish(X2,add(add(X0,a),X1))
| ~ defined(X1)
| ~ equalish(X2,add(X0,X1))
| ~ defined(X0) ),
inference(resolution,[],[f498,f22]) ).
fof(f1084,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(add(X1,X0),add(X2,X0))
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(X1,add(X2,a)) ),
inference(resolution,[],[f505,f24]) ).
fof(f1091,plain,
! [X2,X0,X1] :
( ~ equalish(add(X1,X0),add(X2,X0))
| ~ defined(X0)
| ~ defined(X2)
| ~ equalish(X1,add(X2,a)) ),
inference(duplicate_literal_removal,[],[f1084]) ).
fof(f1345,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,[],[f1091,f23]) ).
fof(f1351,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,[],[f1345,f24]) ).
fof(f1360,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,[],[f1351]) ).
fof(f1403,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X0,add(X1,a))
| ~ defined(X2)
| ~ defined(X1)
| ~ equalish(X0,X3)
| ~ defined(X2)
| ~ equalish(X3,X1) ),
inference(resolution,[],[f1360,f24]) ).
fof(f1409,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X0,add(X1,a))
| ~ defined(X2)
| ~ defined(X1)
| ~ equalish(X0,X3)
| ~ equalish(X3,X1) ),
inference(duplicate_literal_removal,[],[f1403]) ).
fof(f1410,plain,
! [X3,X0,X1] :
( ~ equalish(X0,add(X1,a))
| ~ defined(X1)
| ~ equalish(X0,X3)
| ~ equalish(X3,X1) ),
inference(condensation,[],[f1409]) ).
fof(f1412,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,add(X0,a))
| ~ equalish(X1,X2)
| ~ equalish(X2,X0)
| ~ equalish(X1,X3)
| ~ defined(X0) ),
inference(resolution,[],[f1410,f23]) ).
fof(f1426,plain,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| ~ equalish(X0,add(a,X2))
| ~ defined(X2)
| ~ defined(a)
| ~ defined(X2) ),
inference(resolution,[],[f1412,f4]) ).
fof(f1430,plain,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| ~ equalish(X0,add(a,X2))
| ~ defined(X2)
| ~ defined(a) ),
inference(duplicate_literal_removal,[],[f1426]) ).
fof(f1432,plain,
! [X2,X0,X1] :
( ~ equalish(X0,add(a,X2))
| ~ equalish(X1,X2)
| ~ equalish(X0,X1)
| ~ defined(X2) ),
inference(forward_subsumption_resolution,[],[f1430,f28]) ).
fof(f1438,plain,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(add(X2,X1),X0)
| ~ defined(X1)
| ~ defined(X1)
| ~ equalish(X2,a) ),
inference(resolution,[],[f1432,f24]) ).
fof(f1443,plain,
! [X2,X0,X1] :
( ~ equalish(add(X2,X1),X0)
| ~ equalish(X0,X1)
| ~ defined(X1)
| ~ equalish(X2,a) ),
inference(duplicate_literal_removal,[],[f1438]) ).
fof(f1446,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),X0)
| ~ defined(X0)
| ~ equalish(X1,a)
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f1443,f4]) ).
fof(f1453,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),X0)
| ~ defined(X0)
| ~ equalish(X1,a)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f1446]) ).
fof(f1463,plain,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),X2)
| ~ equalish(X1,a)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X2,X0) ),
inference(resolution,[],[f1453,f23]) ).
fof(f1481,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,[],[f1463,f9]) ).
fof(f1490,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,[],[f1481,f13]) ).
fof(f1493,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,[],[f1490,f13]) ).
fof(f1519,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),a)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X1)
| ~ equalish(add(X2,X0),X2) ),
inference(resolution,[],[f1493,f25]) ).
fof(f1523,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),a)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X2,X0),X2) ),
inference(duplicate_literal_removal,[],[f1519]) ).
fof(f1528,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,[],[f1523,f23]) ).
fof(f1538,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,[],[f1528,f25]) ).
fof(f1554,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,[],[f1538]) ).
fof(f1569,plain,
! [X0,X1] :
( ~ defined(a)
| ~ equalish(add(X0,X1),X0)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X1,multiplicative_identity)
| ~ defined(a) ),
inference(resolution,[],[f1554,f6]) ).
fof(f1573,plain,
! [X0,X1] :
( ~ defined(a)
| ~ equalish(add(X0,X1),X0)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X1,multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f1569]) ).
fof(f1574,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),X0)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X1,multiplicative_identity) ),
inference(forward_subsumption_resolution,[],[f1573,f28]) ).
fof(f1579,plain,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),X2)
| ~ defined(X1)
| ~ equalish(X1,multiplicative_identity)
| ~ defined(X0)
| ~ equalish(X2,X0) ),
inference(resolution,[],[f1574,f23]) ).
fof(f1586,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X0,multiplicative_identity)
| ~ defined(X1)
| ~ equalish(add(X0,X1),X1)
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f1579,f4]) ).
fof(f1595,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),X1)
| ~ equalish(X0,multiplicative_identity)
| ~ defined(X1)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f1586]) ).
fof(f1612,plain,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),X2)
| ~ defined(X1)
| ~ defined(X0)
| ~ equalish(X0,multiplicative_identity)
| ~ equalish(X2,X1) ),
inference(resolution,[],[f1595,f23]) ).
fof(f1904,plain,
! [X2,X0,X1] :
( ~ defined(multiply(X0,X1))
| ~ defined(multiply(X2,X1))
| ~ equalish(multiply(X2,X1),multiplicative_identity)
| ~ equalish(multiply(add(X2,X0),X1),multiply(X0,X1))
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f1612,f9]) ).
fof(f1913,plain,
! [X2,X0,X1] :
( ~ defined(multiply(X2,X1))
| ~ equalish(multiply(X2,X1),multiplicative_identity)
| ~ equalish(multiply(add(X2,X0),X1),multiply(X0,X1))
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f1904,f13]) ).
fof(f1916,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(add(X2,X0),X1),multiply(X0,X1))
| ~ equalish(multiply(X2,X1),multiplicative_identity)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f1913,f13]) ).
fof(f1917,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X0)
| ~ defined(X2)
| ~ defined(X1)
| ~ defined(X1)
| ~ equalish(add(X0,X2),X2) ),
inference(resolution,[],[f1916,f25]) ).
fof(f1921,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X0)
| ~ defined(X2)
| ~ defined(X1)
| ~ equalish(add(X0,X2),X2) ),
inference(duplicate_literal_removal,[],[f1917]) ).
fof(f1927,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(X0,X2),X3)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(add(X0,X1),X1)
| ~ defined(X0)
| ~ equalish(X3,multiplicative_identity) ),
inference(resolution,[],[f1921,f23]) ).
fof(f1935,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X2,X0),X0)
| ~ defined(X2)
| ~ equalish(multiply(X1,X2),multiplicative_identity)
| ~ defined(X2)
| ~ defined(X1) ),
inference(resolution,[],[f1927,f8]) ).
fof(f1936,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ defined(multiply(X1,X2))
| ~ equalish(add(X3,X0),X0)
| ~ defined(X3)
| ~ equalish(multiply(multiply(X3,X1),X2),multiplicative_identity)
| ~ defined(X3)
| ~ defined(X1)
| ~ defined(X2) ),
inference(resolution,[],[f1927,f5]) ).
fof(f1948,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ defined(multiply(X1,X2))
| ~ equalish(add(X3,X0),X0)
| ~ defined(X3)
| ~ equalish(multiply(multiply(X3,X1),X2),multiplicative_identity)
| ~ defined(X1)
| ~ defined(X2) ),
inference(duplicate_literal_removal,[],[f1936]) ).
fof(f1949,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X1,X2),multiplicative_identity)
| ~ defined(X1)
| ~ equalish(add(X2,X0),X0)
| ~ defined(X2)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f1935]) ).
fof(f1956,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(multiply(X3,X1),X2),multiplicative_identity)
| ~ equalish(add(X3,X0),X0)
| ~ defined(X3)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
inference(forward_subsumption_resolution,[],[f1948,f13]) ).
fof(f1961,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(X0,X1),X3)
| ~ equalish(add(X1,X2),X2)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(X3,multiplicative_identity) ),
inference(resolution,[],[f1949,f23]) ).
fof(f1967,plain,
! [X2,X3,X0,X1,X4] :
( ~ equalish(multiply(multiply(X0,X2),X3),X4)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(add(X0,X1),X1)
| ~ equalish(X4,multiplicative_identity) ),
inference(resolution,[],[f1956,f23]) ).
fof(f2041,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(multiply(X0,X1),X2),X2)
| ~ defined(multiply(X0,X1))
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(multiply(multiply(X3,X0),X1),multiplicative_identity)
| ~ defined(X3)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f1961,f5]) ).
fof(f2053,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(multiply(X0,X1),X2),X2)
| ~ defined(multiply(X0,X1))
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(multiply(multiply(X3,X0),X1),multiplicative_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f2041]) ).
fof(f2062,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(multiply(X3,X0),X1),multiplicative_identity)
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(add(multiply(X0,X1),X2),X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f2053,f13]) ).
fof(f2066,plain,
! [X2,X3,X0,X1,X4] :
( ~ equalish(multiply(multiply(X1,X2),X3),X4)
| ~ defined(X1)
| ~ equalish(add(multiply(X2,X3),X0),X0)
| ~ defined(X2)
| ~ defined(X3)
| ~ defined(X0)
| ~ equalish(X4,multiplicative_identity) ),
inference(resolution,[],[f2062,f23]) ).
fof(f2082,plain,
! [X2,X3,X0,X1,X4] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(add(X0,X1),X1)
| ~ equalish(multiply(X4,X3),multiplicative_identity)
| ~ defined(X3)
| ~ equalish(multiply(X0,X2),X4) ),
inference(resolution,[],[f1967,f25]) ).
fof(f2093,plain,
! [X2,X3,X0,X1,X4] :
( ~ equalish(multiply(X4,X3),multiplicative_identity)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(add(X0,X1),X1)
| ~ defined(X0)
| ~ equalish(multiply(X0,X2),X4) ),
inference(duplicate_literal_removal,[],[f2082]) ).
fof(f2104,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(multiplicative_inverse(X2))
| ~ equalish(add(X3,X0),X0)
| ~ defined(X3)
| ~ equalish(multiply(X3,X1),X2)
| ~ defined(X2)
| equalish(X2,additive_identity) ),
inference(resolution,[],[f2093,f7]) ).
fof(f2110,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(X3,X1),X2)
| ~ defined(X1)
| ~ equalish(add(X3,X0),X0)
| ~ defined(X3)
| ~ defined(X0)
| ~ defined(X2)
| equalish(X2,additive_identity) ),
inference(forward_subsumption_resolution,[],[f2104,f15]) ).
fof(f2122,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X1,X2),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| equalish(X3,additive_identity)
| ~ equalish(X3,multiply(X1,X0)) ),
inference(resolution,[],[f2110,f22]) ).
fof(f2396,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(additive_identity)
| ~ defined(X1)
| ~ defined(X2)
| equalish(X2,additive_identity)
| ~ equalish(X2,multiply(additive_identity,X0))
| ~ defined(X1) ),
inference(resolution,[],[f2122,f2]) ).
fof(f2399,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(additive_identity)
| ~ defined(X1)
| ~ defined(X2)
| equalish(X2,additive_identity)
| ~ equalish(X2,multiply(additive_identity,X0)) ),
inference(duplicate_literal_removal,[],[f2396]) ).
fof(f2400,plain,
! [X2,X0] :
( ~ defined(X0)
| ~ defined(additive_identity)
| ~ defined(X2)
| equalish(X2,additive_identity)
| ~ equalish(X2,multiply(additive_identity,X0)) ),
inference(condensation,[],[f2399]) ).
fof(f2401,plain,
! [X2,X0] :
( ~ equalish(X2,multiply(additive_identity,X0))
| ~ defined(X2)
| equalish(X2,additive_identity)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f2400,f11]) ).
fof(f2403,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(additive_identity,X1))
| equalish(X0,additive_identity)
| ~ defined(X1)
| ~ equalish(X0,X2)
| ~ defined(X0) ),
inference(resolution,[],[f2401,f23]) ).
fof(f2804,plain,
! [X2,X0,X1] :
( equalish(X0,additive_identity)
| ~ defined(X1)
| ~ equalish(X0,multiply(X2,X1))
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X2,additive_identity) ),
inference(resolution,[],[f2403,f25]) ).
fof(f2808,plain,
! [X2,X0,X1] :
( ~ equalish(X0,multiply(X2,X1))
| ~ defined(X1)
| equalish(X0,additive_identity)
| ~ defined(X0)
| ~ equalish(X2,additive_identity) ),
inference(duplicate_literal_removal,[],[f2804]) ).
fof(f2857,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(multiply(X0,X1),additive_identity)
| ~ defined(multiply(X0,X1))
| ~ equalish(X1,additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f2808,f8]) ).
fof(f2866,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(multiply(X0,X1),additive_identity)
| ~ defined(multiply(X0,X1))
| ~ equalish(X1,additive_identity)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f2857]) ).
fof(f2871,plain,
! [X0,X1] :
( equalish(multiply(X0,X1),additive_identity)
| ~ defined(X0)
| ~ equalish(X1,additive_identity)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f2866,f13]) ).
fof(f3212,plain,
! [X2,X3,X0,X1,X4] :
( ~ defined(X0)
| ~ equalish(add(multiply(X1,X2),X3),X3)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(multiply(X4,X2),multiplicative_identity)
| ~ defined(X2)
| ~ equalish(multiply(X0,X1),X4) ),
inference(resolution,[],[f2066,f25]) ).
fof(f3223,plain,
! [X2,X3,X0,X1,X4] :
( ~ equalish(add(multiply(X1,X2),X3),X3)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(multiply(X4,X2),multiplicative_identity)
| ~ equalish(multiply(X0,X1),X4) ),
inference(duplicate_literal_removal,[],[f3212]) ).
fof(f3240,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equalish(add(multiply(X1,X2),X3),X5)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(multiply(X4,X2),multiplicative_identity)
| ~ equalish(multiply(X0,X1),X4)
| ~ defined(X0)
| ~ equalish(X5,X3) ),
inference(resolution,[],[f3223,f23]) ).
fof(f3244,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(multiply(X3,X1),multiplicative_identity)
| ~ equalish(multiply(X4,X0),X3)
| ~ defined(X4)
| ~ equalish(add(X5,X2),X2)
| ~ defined(X2)
| ~ equalish(multiply(X0,X1),X5) ),
inference(resolution,[],[f3240,f24]) ).
fof(f3255,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equalish(multiply(X4,X0),X3)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(multiply(X3,X1),multiplicative_identity)
| ~ defined(X0)
| ~ defined(X4)
| ~ equalish(add(X5,X2),X2)
| ~ equalish(multiply(X0,X1),X5) ),
inference(duplicate_literal_removal,[],[f3244]) ).
fof(f3271,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(multiply(X2,X0),multiplicative_identity)
| ~ defined(X2)
| ~ defined(multiplicative_identity)
| ~ equalish(add(X3,X1),X1)
| ~ equalish(multiply(X2,X0),X3)
| ~ defined(X2) ),
inference(resolution,[],[f3255,f6]) ).
fof(f3304,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(multiply(X2,X0),multiplicative_identity)
| ~ defined(X2)
| ~ defined(multiplicative_identity)
| ~ equalish(add(X3,X1),X1)
| ~ equalish(multiply(X2,X0),X3) ),
inference(duplicate_literal_removal,[],[f3271]) ).
fof(f3312,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(X2,X0),multiplicative_identity)
| ~ defined(X1)
| ~ defined(X0)
| ~ defined(X2)
| ~ equalish(add(X3,X1),X1)
| ~ equalish(multiply(X2,X0),X3) ),
inference(forward_subsumption_resolution,[],[f3304,f14]) ).
fof(f3429,plain,
! [X2,X3,X0,X1,X4] :
( ~ equalish(multiply(X2,X1),X4)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(add(X3,X0),X0)
| ~ equalish(multiply(X2,X1),X3)
| ~ defined(X0)
| ~ equalish(X4,multiplicative_identity) ),
inference(resolution,[],[f3312,f23]) ).
fof(f5249,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(add(X2,X3),X3)
| ~ equalish(multiply(X1,X0),X2)
| ~ defined(X3)
| ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[],[f3429,f8]) ).
fof(f5263,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(X1,X0),X2)
| ~ defined(X1)
| ~ equalish(add(X2,X3),X3)
| ~ defined(X0)
| ~ defined(X3)
| ~ equalish(multiply(X0,X1),multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f5249]) ).
fof(f5282,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(add(additive_identity,X1),X1)
| ~ defined(X2)
| ~ defined(X1)
| ~ equalish(multiply(X2,X0),multiplicative_identity)
| ~ defined(X0)
| ~ equalish(X2,additive_identity)
| ~ defined(X2) ),
inference(resolution,[],[f5263,f2871]) ).
fof(f5310,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(add(additive_identity,X1),X1)
| ~ defined(X2)
| ~ defined(X1)
| ~ equalish(multiply(X2,X0),multiplicative_identity)
| ~ equalish(X2,additive_identity) ),
inference(duplicate_literal_removal,[],[f5282]) ).
fof(f5321,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X2)
| ~ defined(X1)
| ~ equalish(multiply(X2,X0),multiplicative_identity)
| ~ equalish(X2,additive_identity) ),
inference(forward_subsumption_resolution,[],[f5310,f2]) ).
fof(f5322,plain,
! [X2,X0] :
( ~ equalish(multiply(X2,X0),multiplicative_identity)
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(X2,additive_identity) ),
inference(condensation,[],[f5321]) ).
fof(f5395,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),X2)
| ~ defined(X1)
| ~ equalish(X0,additive_identity)
| ~ defined(X0)
| ~ equalish(X2,multiplicative_identity) ),
inference(resolution,[],[f5322,f23]) ).
fof(f5408,plain,
! [X2,X0,X1] :
( ~ defined(multiply(X0,X1))
| ~ equalish(X2,additive_identity)
| ~ defined(X2)
| ~ equalish(multiply(multiply(X2,X0),X1),multiplicative_identity)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f5395,f5]) ).
fof(f5420,plain,
! [X2,X0,X1] :
( ~ defined(multiply(X0,X1))
| ~ equalish(X2,additive_identity)
| ~ defined(X2)
| ~ equalish(multiply(multiply(X2,X0),X1),multiplicative_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f5408]) ).
fof(f5433,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(multiply(X2,X0),X1),multiplicative_identity)
| ~ defined(X2)
| ~ equalish(X2,additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f5420,f13]) ).
fof(f5443,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(multiply(X0,X1),X2),X3)
| ~ equalish(X0,additive_identity)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(X3,multiplicative_identity) ),
inference(resolution,[],[f5433,f23]) ).
fof(f5452,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X0,additive_identity)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(multiply(X3,X2),multiplicative_identity)
| ~ defined(X2)
| ~ equalish(multiply(X0,X1),X3) ),
inference(resolution,[],[f5443,f25]) ).
fof(f5463,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(X3,X2),multiplicative_identity)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(X0,additive_identity)
| ~ equalish(multiply(X0,X1),X3) ),
inference(duplicate_literal_removal,[],[f5452]) ).
fof(f5482,plain,
! [X2,X3,X0,X1,X4] :
( ~ equalish(multiply(X3,X1),X4)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(X2,additive_identity)
| ~ equalish(multiply(X2,X0),X3)
| ~ defined(X0)
| ~ equalish(X4,multiplicative_identity) ),
inference(resolution,[],[f5463,f23]) ).
fof(f5492,plain,
! [X2,X3,X0,X1,X4] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X1,additive_identity)
| ~ equalish(multiply(X1,X2),X3)
| ~ defined(X2)
| ~ equalish(multiply(X4,X0),multiplicative_identity)
| ~ defined(X0)
| ~ equalish(X3,X4) ),
inference(resolution,[],[f5482,f25]) ).
fof(f5505,plain,
! [X2,X3,X0,X1,X4] :
( ~ equalish(multiply(X4,X0),multiplicative_identity)
| ~ defined(X1)
| ~ equalish(X1,additive_identity)
| ~ equalish(multiply(X1,X2),X3)
| ~ defined(X2)
| ~ defined(X0)
| ~ equalish(X3,X4) ),
inference(duplicate_literal_removal,[],[f5492]) ).
fof(f5520,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(X0,additive_identity)
| ~ equalish(multiply(X0,X1),X2)
| ~ defined(X1)
| ~ defined(multiplicative_inverse(X3))
| ~ equalish(X2,X3)
| ~ defined(X3)
| equalish(X3,additive_identity) ),
inference(resolution,[],[f5505,f7]) ).
fof(f5526,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(X0,X1),X2)
| ~ equalish(X0,additive_identity)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X2,X3)
| ~ defined(X3)
| equalish(X3,additive_identity) ),
inference(forward_subsumption_resolution,[],[f5520,f15]) ).
fof(f5535,plain,
! [X2,X0,X1] :
( ~ equalish(X0,additive_identity)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(multiply(X1,X0),X2)
| ~ defined(X2)
| equalish(X2,additive_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f5526,f8]) ).
fof(f5549,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X1,X0),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(X0,additive_identity)
| ~ defined(X2)
| equalish(X2,additive_identity) ),
inference(duplicate_literal_removal,[],[f5535]) ).
fof(f5901,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(X1,X0),X3)
| ~ defined(X1)
| ~ equalish(X0,additive_identity)
| ~ defined(X2)
| equalish(X2,additive_identity)
| ~ defined(X0)
| ~ equalish(X3,X2) ),
inference(resolution,[],[f5549,f23]) ).
fof(f5935,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(multiply(X1,X2),additive_identity)
| ~ defined(X3)
| equalish(X3,additive_identity)
| ~ defined(multiply(X1,X2))
| ~ equalish(multiply(multiply(X0,X1),X2),X3)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
inference(resolution,[],[f5901,f5]) ).
fof(f5947,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ equalish(multiply(X1,X2),additive_identity)
| ~ defined(X3)
| equalish(X3,additive_identity)
| ~ defined(multiply(X1,X2))
| ~ equalish(multiply(multiply(X0,X1),X2),X3)
| ~ defined(X1)
| ~ defined(X2) ),
inference(duplicate_literal_removal,[],[f5935]) ).
fof(f5965,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(multiply(X0,X1),X2),X3)
| ~ equalish(multiply(X1,X2),additive_identity)
| ~ defined(X3)
| equalish(X3,additive_identity)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
inference(forward_subsumption_resolution,[],[f5947,f13]) ).
fof(f5980,plain,
! [X2,X3,X0,X1,X4] :
( ~ equalish(multiply(multiply(X3,X0),X1),X4)
| ~ defined(X2)
| equalish(X2,additive_identity)
| ~ defined(X3)
| ~ defined(X0)
| ~ defined(X1)
| ~ equalish(multiply(X0,X1),additive_identity)
| ~ equalish(X4,X2) ),
inference(resolution,[],[f5965,f23]) ).
fof(f6066,plain,
! [X2,X3,X0,X1,X4] :
( ~ defined(X0)
| equalish(X0,additive_identity)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(multiply(X2,X3),additive_identity)
| ~ equalish(multiply(X4,X3),X0)
| ~ defined(X3)
| ~ equalish(multiply(X1,X2),X4) ),
inference(resolution,[],[f5980,f25]) ).
fof(f6077,plain,
! [X2,X3,X0,X1,X4] :
( ~ equalish(multiply(X4,X3),X0)
| equalish(X0,additive_identity)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(multiply(X2,X3),additive_identity)
| ~ defined(X0)
| ~ equalish(multiply(X1,X2),X4) ),
inference(duplicate_literal_removal,[],[f6066]) ).
fof(f6110,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equalish(multiply(X4,X3),X5)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| ~ equalish(multiply(X2,X3),additive_identity)
| ~ defined(X0)
| ~ equalish(multiply(X1,X2),X4)
| equalish(X0,additive_identity)
| ~ equalish(X5,X0) ),
inference(resolution,[],[f6077,f23]) ).
fof(f6409,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(multiply(X1,X2),additive_identity)
| ~ defined(X3)
| ~ equalish(multiply(X0,X1),X4)
| equalish(X3,additive_identity)
| ~ equalish(multiply(X5,X2),X3)
| ~ defined(X2)
| ~ equalish(X4,X5) ),
inference(resolution,[],[f6110,f25]) ).
fof(f6422,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ equalish(multiply(X5,X2),X3)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(multiply(X1,X2),additive_identity)
| ~ defined(X3)
| ~ equalish(multiply(X0,X1),X4)
| equalish(X3,additive_identity)
| ~ defined(X0)
| ~ equalish(X4,X5) ),
inference(duplicate_literal_removal,[],[f6409]) ).
fof(f6437,plain,
! [X2,X3,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ equalish(multiply(X0,X1),additive_identity)
| ~ defined(X1)
| ~ equalish(multiply(X2,X0),X3)
| equalish(X1,additive_identity)
| ~ defined(X2)
| ~ equalish(X3,multiplicative_identity)
| ~ defined(X1) ),
inference(resolution,[],[f6422,f6]) ).
fof(f6469,plain,
! [X2,X3,X0,X1] :
( ~ equalish(multiply(X2,X0),X3)
| ~ defined(X1)
| ~ equalish(multiply(X0,X1),additive_identity)
| ~ defined(X0)
| equalish(X1,additive_identity)
| ~ defined(X2)
| ~ equalish(X3,multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f6437]) ).
fof(f6490,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ equalish(multiply(X1,X0),additive_identity)
| ~ defined(X1)
| equalish(X0,additive_identity)
| ~ defined(X2)
| ~ equalish(multiply(X1,X2),multiplicative_identity)
| ~ defined(X2)
| ~ defined(X1) ),
inference(resolution,[],[f6469,f8]) ).
fof(f6504,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X1,X2),multiplicative_identity)
| ~ equalish(multiply(X1,X0),additive_identity)
| ~ defined(X1)
| equalish(X0,additive_identity)
| ~ defined(X2)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f6490]) ).
fof(f6668,plain,
! [X0,X1] :
( ~ equalish(multiply(X0,X1),additive_identity)
| ~ defined(X0)
| equalish(X1,additive_identity)
| ~ defined(multiplicative_inverse(X0))
| ~ defined(X1)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
inference(resolution,[],[f6504,f7]) ).
fof(f6674,plain,
! [X0,X1] :
( ~ equalish(multiply(X0,X1),additive_identity)
| ~ defined(X0)
| equalish(X1,additive_identity)
| ~ defined(multiplicative_inverse(X0))
| ~ defined(X1)
| equalish(X0,additive_identity) ),
inference(duplicate_literal_removal,[],[f6668]) ).
fof(f6676,plain,
! [X0,X1] :
( ~ equalish(multiply(X0,X1),additive_identity)
| ~ defined(X0)
| equalish(X1,additive_identity)
| ~ defined(X1)
| equalish(X0,additive_identity) ),
inference(forward_subsumption_resolution,[],[f6674,f15]) ).
fof(f6687,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),X2)
| equalish(X1,additive_identity)
| ~ defined(X1)
| equalish(X0,additive_identity)
| ~ defined(X0)
| ~ equalish(X2,additive_identity) ),
inference(resolution,[],[f6676,f23]) ).
fof(f6722,plain,
! [X0] :
( ~ equalish(sF0,X0)
| equalish(b,additive_identity)
| ~ defined(b)
| equalish(a,additive_identity)
| ~ defined(a)
| ~ equalish(X0,additive_identity) ),
inference(superposition,[],[f6687,f36]) ).
fof(f6737,plain,
! [X0] :
( ~ equalish(sF0,X0)
| ~ defined(b)
| equalish(a,additive_identity)
| ~ defined(a)
| ~ equalish(X0,additive_identity) ),
inference(forward_subsumption_resolution,[],[f6722,f32]) ).
fof(f6741,plain,
! [X0] :
( ~ equalish(sF0,X0)
| equalish(a,additive_identity)
| ~ defined(a)
| ~ equalish(X0,additive_identity) ),
inference(forward_subsumption_resolution,[],[f6737,f29]) ).
fof(f6744,plain,
! [X0] :
( ~ equalish(sF0,X0)
| ~ defined(a)
| ~ equalish(X0,additive_identity) ),
inference(forward_subsumption_resolution,[],[f6741,f31]) ).
fof(f6745,plain,
! [X0] :
( ~ equalish(sF0,X0)
| ~ equalish(X0,additive_identity) ),
inference(forward_subsumption_resolution,[],[f6744,f28]) ).
fof(f8600,plain,
~ equalish(c,additive_identity),
inference(resolution,[],[f6745,f37]) ).
fof(f8606,plain,
$false,
inference(forward_subsumption_resolution,[],[f8600,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD041-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n007.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 00:32:51 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 11.66/2.32 % (3019631)Input is clausal, will run a generic CNF schedule.
% 11.66/2.32 % (3019636)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=2141680533:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.66/2.32 % (3019638)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4055772450:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.66/2.32 % (3019641)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1030658158:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.66/2.32 % (3019637)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1896596353:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.66/2.32 % (3019639)lrs+10_1_sil=8000:sp=occurrence:random_seed=3262466596:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.66/2.32 % (3019640)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=610211853:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.66/2.32 % (3019642)dis-21_1_sil=8000:lcm=predicate:random_seed=4049773424: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)
% 11.66/2.32 % (3019639)Instruction limit reached!
% 11.66/2.32 % (3019639)------------------------------
% 11.66/2.32 % (3019639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.32 % (3019639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.32 % (3019639)CaDiCaL version: 2.1.3
% 11.66/2.32 % (3019639)Termination reason: Instruction limit
% 11.66/2.32 % (3019639)Termination phase: Saturation
% 11.66/2.32 % (3019639)Time elapsed: 0.064 s
% 11.66/2.32 % (3019639)Peak memory usage: 88 MB
% 11.66/2.32 % (3019639)Instructions burned: 109 (million)
% 11.66/2.32 % (3019640)Instruction limit reached!
% 11.66/2.32 % (3019640)------------------------------
% 11.66/2.32 % (3019640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.32 % (3019640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.32 % (3019640)CaDiCaL version: 2.1.3
% 11.66/2.32 % (3019640)Termination reason: Instruction limit
% 11.66/2.32 % (3019640)Termination phase: Saturation
% 11.66/2.32 % (3019640)Time elapsed: 0.068 s
% 11.66/2.32 % (3019640)Peak memory usage: 88 MB
% 11.66/2.32 % (3019640)Instructions burned: 115 (million)
% 11.66/2.32 % (3019642)Instruction limit reached!
% 11.66/2.32 % (3019642)------------------------------
% 11.66/2.32 % (3019642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.32 % (3019642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.32 % (3019642)CaDiCaL version: 2.1.3
% 11.66/2.32 % (3019642)Termination reason: Instruction limit
% 11.66/2.32 % (3019642)Termination phase: Saturation
% 11.66/2.32 % (3019642)Time elapsed: 0.074 s
% 11.66/2.32 % (3019642)Peak memory usage: 89 MB
% 11.66/2.32 % (3019642)Instructions burned: 118 (million)
% 11.66/2.32 % (3019641)Instruction limit reached!
% 11.66/2.32 % (3019641)------------------------------
% 11.66/2.32 % (3019641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.32 % (3019641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.32 % (3019641)CaDiCaL version: 2.1.3
% 11.66/2.32 % (3019641)Termination reason: Instruction limit
% 11.66/2.32 % (3019641)Termination phase: Saturation
% 11.66/2.32 % (3019641)Time elapsed: 0.117 s
% 11.66/2.32 % (3019641)Peak memory usage: 89 MB
% 11.66/2.32 % (3019641)Instructions burned: 180 (million)
% 11.66/2.32 % (3019652)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=899684883:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.66/2.32 % (3019650)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=268831325:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.66/2.32 % (3019651)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=802509381: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)
% 11.66/2.32 % (3019653)lrs+10_64_to=lpo:sil=8000:random_seed=2069769769:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 11.66/2.32 % (3019650)Instruction limit reached!
% 22.12/3.97 % (3019650)------------------------------
% 22.12/3.97 % (3019650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.12/3.97 % (3019650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.12/3.97 % (3019650)CaDiCaL version: 2.1.3
% 22.12/3.97 % (3019650)Termination reason: Instruction limit
% 22.12/3.97 % (3019650)Termination phase: Saturation
% 22.12/3.97 % (3019650)Time elapsed: 0.079 s
% 22.12/3.97 % (3019650)Peak memory usage: 88 MB
% 22.12/3.97 % (3019650)Instructions burned: 144 (million)
% 22.12/3.97 % (3019651)Instruction limit reached!
% 22.12/3.97 % (3019651)------------------------------
% 22.12/3.97 % (3019651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.12/3.97 % (3019651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.12/3.97 % (3019651)CaDiCaL version: 2.1.3
% 22.12/3.97 % (3019651)Termination reason: Instruction limit
% 22.12/3.97 % (3019651)Termination phase: Saturation
% 22.12/3.97 % (3019651)Time elapsed: 0.095 s
% 22.12/3.97 % (3019651)Peak memory usage: 94 MB
% 22.12/3.97 % (3019651)Instructions burned: 190 (million)
% 22.12/3.97 % (3019652)Instruction limit reached!
% 22.12/3.97 % (3019652)------------------------------
% 22.12/3.97 % (3019652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.12/3.97 % (3019652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.12/3.97 % (3019652)CaDiCaL version: 2.1.3
% 22.12/3.97 % (3019652)Termination reason: Instruction limit
% 22.12/3.97 % (3019652)Termination phase: Saturation
% 22.12/3.97 % (3019652)Time elapsed: 0.132 s
% 22.12/3.97 % (3019652)Peak memory usage: 89 MB
% 22.12/3.97 % (3019652)Instructions burned: 220 (million)
% 22.12/3.97 % (3019653)Instruction limit reached!
% 22.12/3.97 % (3019653)------------------------------
% 22.12/3.97 % (3019653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.12/3.97 % (3019653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.12/3.97 % (3019653)CaDiCaL version: 2.1.3
% 22.12/3.97 % (3019653)Termination reason: Instruction limit
% 22.12/3.97 % (3019653)Termination phase: Saturation
% 22.12/3.97 % (3019653)Time elapsed: 0.074 s
% 22.12/3.97 % (3019653)Peak memory usage: 89 MB
% 22.12/3.97 % (3019653)Instructions burned: 127 (million)
% 22.12/3.97 % (3019658)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3095575255:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 22.12/3.97 % (3019659)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2904355482:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 22.12/3.97 % (3019661)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=2478473279:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 22.12/3.97 % (3019660)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2211876359:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 22.12/3.97 % (3019661)Instruction limit reached!
% 22.12/3.97 % (3019661)------------------------------
% 22.12/3.97 % (3019661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.12/3.97 % (3019661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.12/3.97 % (3019661)CaDiCaL version: 2.1.3
% 22.12/3.97 % (3019661)Termination reason: Instruction limit
% 22.12/3.97 % (3019661)Termination phase: Saturation
% 22.12/3.97 % (3019661)Time elapsed: 0.053 s
% 22.12/3.97 % (3019661)Peak memory usage: 89 MB
% 22.12/3.97 % (3019661)Instructions burned: 106 (million)
% 22.12/3.97 % (3019658)Instruction limit reached!
% 22.12/3.97 % (3019658)------------------------------
% 22.12/3.97 % (3019658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.12/3.97 % (3019658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.12/3.97 % (3019658)CaDiCaL version: 2.1.3
% 22.12/3.97 % (3019658)Termination reason: Instruction limit
% 22.12/3.97 % (3019658)Termination phase: Saturation
% 22.12/3.97 % (3019658)Time elapsed: 0.127 s
% 22.12/3.97 % (3019658)Peak memory usage: 90 MB
% 22.12/3.97 % (3019658)Instructions burned: 194 (million)
% 22.12/3.97 % (3019659)Instruction limit reached!
% 22.12/3.97 % (3019659)------------------------------
% 22.12/3.97 % (3019659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.12/3.97 % (3019659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.12/3.97 % (3019659)CaDiCaL version: 2.1.3
% 42.45/6.64 % (3019659)Termination reason: Instruction limit
% 42.45/6.64 % (3019659)Termination phase: Saturation
% 42.45/6.64 % (3019659)Time elapsed: 0.111 s
% 42.45/6.64 % (3019659)Peak memory usage: 91 MB
% 42.45/6.64 % (3019659)Instructions burned: 157 (million)
% 42.45/6.64 % (3019666)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1687254446:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 42.45/6.64 % (3019667)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2153008109:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 42.45/6.64 % (3019668)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1223129609:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 42.45/6.64 % (3019666)Instruction limit reached!
% 42.45/6.64 % (3019666)------------------------------
% 42.45/6.64 % (3019666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.45/6.64 % (3019666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.45/6.64 % (3019666)CaDiCaL version: 2.1.3
% 42.45/6.64 % (3019666)Termination reason: Instruction limit
% 42.45/6.64 % (3019666)Termination phase: Saturation
% 42.45/6.64 % (3019666)Time elapsed: 0.063 s
% 42.45/6.64 % (3019666)Peak memory usage: 88 MB
% 42.45/6.64 % (3019666)Instructions burned: 107 (million)
% 42.45/6.64 % (3019667)Instruction limit reached!
% 42.45/6.64 % (3019667)------------------------------
% 42.45/6.64 % (3019667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.45/6.64 % (3019667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.45/6.64 % (3019667)CaDiCaL version: 2.1.3
% 42.45/6.64 % (3019667)Termination reason: Instruction limit
% 42.45/6.64 % (3019667)Termination phase: Saturation
% 42.45/6.64 % (3019667)Time elapsed: 0.144 s
% 42.45/6.64 % (3019667)Peak memory usage: 88 MB
% 42.45/6.64 % (3019667)Instructions burned: 242 (million)
% 42.45/6.64 % (3019672)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1428545748:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 42.45/6.64 % (3019673)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3998106824:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 42.45/6.64 % (3019672)Instruction limit reached!
% 42.45/6.64 % (3019672)------------------------------
% 42.45/6.64 % (3019672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.45/6.64 % (3019672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.45/6.64 % (3019672)CaDiCaL version: 2.1.3
% 42.45/6.64 % (3019672)Termination reason: Instruction limit
% 42.45/6.64 % (3019672)Termination phase: Saturation
% 42.45/6.64 % (3019672)Time elapsed: 0.090 s
% 42.45/6.64 % (3019672)Peak memory usage: 89 MB
% 42.45/6.64 % (3019672)Instructions burned: 134 (million)
% 42.45/6.64 % (3019676)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2843438626:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 42.45/6.64 % (3019673)Instruction limit reached!
% 42.45/6.64 % (3019673)------------------------------
% 42.45/6.64 % (3019673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.45/6.64 % (3019673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.45/6.64 % (3019673)CaDiCaL version: 2.1.3
% 42.45/6.64 % (3019673)Termination reason: Instruction limit
% 42.45/6.64 % (3019673)Termination phase: Saturation
% 42.45/6.64 % (3019673)Time elapsed: 0.243 s
% 42.45/6.64 % (3019673)Peak memory usage: 105 MB
% 42.45/6.64 % (3019673)Instructions burned: 501 (million)
% 42.45/6.64 % (3019676)Instruction limit reached!
% 42.45/6.64 % (3019676)------------------------------
% 42.45/6.64 % (3019676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.45/6.64 % (3019676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.45/6.64 % (3019676)CaDiCaL version: 2.1.3
% 42.45/6.64 % (3019676)Termination reason: Instruction limit
% 42.45/6.64 % (3019676)Termination phase: Saturation
% 42.45/6.64 % (3019676)Time elapsed: 0.122 s
% 42.45/6.64 % (3019676)Peak memory usage: 91 MB
% 42.45/6.64 % (3019676)Instructions burned: 192 (million)
% 42.45/6.64 % (3019678)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=367340828:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 42.45/6.64 % (3019679)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1233700107:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 49.37/7.70 % (3019679)Instruction limit reached!
% 49.37/7.70 % (3019679)------------------------------
% 49.37/7.70 % (3019679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.37/7.70 % (3019679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.37/7.70 % (3019679)CaDiCaL version: 2.1.3
% 49.37/7.70 % (3019679)Termination reason: Instruction limit
% 49.37/7.70 % (3019679)Termination phase: Saturation
% 49.37/7.70 % (3019679)Time elapsed: 0.066 s
% 49.37/7.70 % (3019679)Peak memory usage: 88 MB
% 49.37/7.70 % (3019679)Instructions burned: 157 (million)
% 49.37/7.70 % (3019678)Instruction limit reached!
% 49.37/7.70 % (3019678)------------------------------
% 49.37/7.70 % (3019678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.37/7.70 % (3019678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.37/7.70 % (3019678)CaDiCaL version: 2.1.3
% 49.37/7.70 % (3019678)Termination reason: Instruction limit
% 49.37/7.70 % (3019678)Termination phase: Saturation
% 49.37/7.70 % (3019678)Time elapsed: 0.164 s
% 49.37/7.70 % (3019678)Peak memory usage: 90 MB
% 49.37/7.70 % (3019678)Instructions burned: 264 (million)
% 49.37/7.70 % (3019682)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=982498212:i=3256:kws=precedence:bd=preordered:av=off_2982 on theBenchmark for (2982ds/3256Mi)
% 49.37/7.70 % (3019683)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=4138530220:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 49.37/7.70 % (3019683)Instruction limit reached!
% 49.37/7.70 % (3019683)------------------------------
% 49.37/7.70 % (3019683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.37/7.70 % (3019683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.37/7.70 % (3019683)CaDiCaL version: 2.1.3
% 49.37/7.70 % (3019683)Termination reason: Instruction limit
% 49.37/7.70 % (3019683)Termination phase: Saturation
% 49.37/7.70 % (3019683)Time elapsed: 0.217 s
% 49.37/7.70 % (3019683)Peak memory usage: 88 MB
% 49.37/7.70 % (3019683)Instructions burned: 538 (million)
% 49.37/7.70 % (3019686)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3021565910:i=180:bd=preordered:av=off_2978 on theBenchmark for (2978ds/180Mi)
% 49.37/7.70 % (3019686)Instruction limit reached!
% 49.37/7.70 % (3019686)------------------------------
% 49.37/7.70 % (3019686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.37/7.70 % (3019686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.37/7.70 % (3019686)CaDiCaL version: 2.1.3
% 49.37/7.70 % (3019686)Termination reason: Instruction limit
% 49.37/7.70 % (3019686)Termination phase: Saturation
% 49.37/7.70 % (3019686)Time elapsed: 0.089 s
% 49.37/7.70 % (3019686)Peak memory usage: 93 MB
% 49.37/7.70 % (3019686)Instructions burned: 180 (million)
% 49.37/7.70 % (3019688)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=302037277:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2976 on theBenchmark for (2976ds/10307Mi)
% 49.37/7.70 % (3019660)Instruction limit reached!
% 49.37/7.70 % (3019660)------------------------------
% 49.37/7.70 % (3019660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.37/7.70 % (3019660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.37/7.70 % (3019660)CaDiCaL version: 2.1.3
% 49.37/7.70 % (3019660)Termination reason: Instruction limit
% 49.37/7.70 % (3019660)Termination phase: Saturation
% 49.37/7.70 % (3019660)Time elapsed: 2.218 s
% 49.37/7.70 % (3019660)Peak memory usage: 148 MB
% 49.37/7.70 % (3019660)Instructions burned: 3394 (million)
% 49.37/7.70 % (3019690)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=2310168847:i=412:gtgl=4:gtg=exists_all_2970 on theBenchmark for (2970ds/412Mi)
% 49.37/7.70 % (3019690)Instruction limit reached!
% 49.37/7.70 % (3019690)------------------------------
% 49.37/7.70 % (3019690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.37/7.70 % (3019690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.37/7.70 % (3019690)CaDiCaL version: 2.1.3
% 49.37/7.70 % (3019690)Termination reason: Instruction limit
% 49.37/7.70 % (3019690)Termination phase: Saturation
% 73.78/11.12 % (3019690)Time elapsed: 0.240 s
% 73.78/11.12 % (3019690)Peak memory usage: 92 MB
% 73.78/11.12 % (3019690)Instructions burned: 413 (million)
% 73.78/11.12 % (3019692)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=2227276337:s2pl=no:i=8478:s2at=4:nm=6_2966 on theBenchmark for (2966ds/8478Mi)
% 73.78/11.12 % (3019668)Instruction limit reached!
% 73.78/11.12 % (3019668)------------------------------
% 73.78/11.12 % (3019668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.78/11.12 % (3019668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.78/11.12 % (3019668)CaDiCaL version: 2.1.3
% 73.78/11.12 % (3019668)Termination reason: Instruction limit
% 73.78/11.12 % (3019668)Termination phase: Saturation
% 73.78/11.12 % (3019668)Time elapsed: 2.898 s
% 73.78/11.12 % (3019668)Peak memory usage: 144 MB
% 73.78/11.12 % (3019668)Instructions burned: 5209 (million)
% 73.78/11.12 % (3019682)Instruction limit reached!
% 73.78/11.12 % (3019682)------------------------------
% 73.78/11.12 % (3019682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.78/11.12 % (3019682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.78/11.12 % (3019682)CaDiCaL version: 2.1.3
% 73.78/11.12 % (3019682)Termination reason: Instruction limit
% 73.78/11.12 % (3019682)Termination phase: Saturation
% 73.78/11.12 % (3019682)Time elapsed: 2.031 s
% 73.78/11.12 % (3019682)Peak memory usage: 148 MB
% 73.78/11.12 % (3019682)Instructions burned: 3256 (million)
% 73.78/11.12 % (3019694)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=741631777:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2961 on theBenchmark for (2961ds/303Mi)
% 73.78/11.12 % (3019695)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=7824268:st=4:i=720:sd=3:fsr=off:ss=axioms_2960 on theBenchmark for (2960ds/720Mi)
% 73.78/11.12 % (3019694)Instruction limit reached!
% 73.78/11.12 % (3019694)------------------------------
% 73.78/11.12 % (3019694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.78/11.12 % (3019694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.78/11.12 % (3019694)CaDiCaL version: 2.1.3
% 73.78/11.12 % (3019694)Termination reason: Instruction limit
% 73.78/11.12 % (3019694)Termination phase: Saturation
% 73.78/11.12 % (3019694)Time elapsed: 0.139 s
% 73.78/11.12 % (3019694)Peak memory usage: 92 MB
% 73.78/11.12 % (3019694)Instructions burned: 304 (million)
% 73.78/11.12 % (3019698)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=473841987:i=598:bs=on:bd=preordered:av=off:ss=axioms_2958 on theBenchmark for (2958ds/598Mi)
% 73.78/11.12 % (3019695)Instruction limit reached!
% 73.78/11.12 % (3019695)------------------------------
% 73.78/11.12 % (3019695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.78/11.12 % (3019695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.78/11.12 % (3019695)CaDiCaL version: 2.1.3
% 73.78/11.12 % (3019695)Termination reason: Instruction limit
% 73.78/11.12 % (3019695)Termination phase: Saturation
% 73.78/11.12 % (3019695)Time elapsed: 0.374 s
% 73.78/11.12 % (3019695)Peak memory usage: 111 MB
% 73.78/11.12 % (3019695)Instructions burned: 721 (million)
% 73.78/11.12 % (3019698)Instruction limit reached!
% 73.78/11.12 % (3019698)------------------------------
% 73.78/11.12 % (3019698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.78/11.12 % (3019698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.78/11.12 % (3019698)CaDiCaL version: 2.1.3
% 73.78/11.12 % (3019698)Termination reason: Instruction limit
% 73.78/11.12 % (3019698)Termination phase: Saturation
% 73.78/11.12 % (3019698)Time elapsed: 0.302 s
% 73.78/11.12 % (3019698)Peak memory usage: 98 MB
% 73.78/11.12 % (3019698)Instructions burned: 598 (million)
% 73.78/11.12 % (3019700)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=3715237135:i=2989:sd=3:ss=axioms:sgt=60_2955 on theBenchmark for (2955ds/2989Mi)
% 73.78/11.12 % (3019701)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=102872058:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2953 on theBenchmark for (2953ds/1997Mi)
% 73.78/11.12 % (3019688)Instruction limit reached!
% 73.78/11.12 % (3019688)------------------------------
% 91.16/13.57 % (3019688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.16/13.57 % (3019688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.16/13.57 % (3019688)CaDiCaL version: 2.1.3
% 91.16/13.57 % (3019688)Termination reason: Instruction limit
% 91.16/13.57 % (3019688)Termination phase: Saturation
% 91.16/13.57 % (3019688)Time elapsed: 3.426 s
% 91.16/13.57 % (3019688)Peak memory usage: 184 MB
% 91.16/13.57 % (3019688)Instructions burned: 10310 (million)
% 91.16/13.57 % (3019704)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=3866980365:i=2088:bd=preordered:av=off_2940 on theBenchmark for (2940ds/2088Mi)
% 91.16/13.57 % (3019701)Instruction limit reached!
% 91.16/13.57 % (3019701)------------------------------
% 91.16/13.57 % (3019701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.16/13.57 % (3019701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.16/13.57 % (3019701)CaDiCaL version: 2.1.3
% 91.16/13.57 % (3019701)Termination reason: Instruction limit
% 91.16/13.57 % (3019701)Termination phase: Saturation
% 91.16/13.57 % (3019701)Time elapsed: 1.380 s
% 91.16/13.57 % (3019701)Peak memory usage: 135 MB
% 91.16/13.57 % (3019701)Instructions burned: 1997 (million)
% 91.16/13.57 % (3019706)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=265319925:i=1098:nicw=on_2938 on theBenchmark for (2938ds/1098Mi)
% 91.16/13.57 % (3019700)Instruction limit reached!
% 91.16/13.57 % (3019700)------------------------------
% 91.16/13.57 % (3019700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.16/13.57 % (3019700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.16/13.57 % (3019700)CaDiCaL version: 2.1.3
% 91.16/13.57 % (3019700)Termination reason: Instruction limit
% 91.16/13.57 % (3019700)Termination phase: Saturation
% 91.16/13.57 % (3019700)Time elapsed: 1.729 s
% 91.16/13.57 % (3019700)Peak memory usage: 135 MB
% 91.16/13.57 % (3019700)Instructions burned: 2990 (million)
% 91.16/13.57 % (3019708)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=3864877676:i=433:bd=preordered_2936 on theBenchmark for (2936ds/433Mi)
% 91.16/13.57 % (3019708)Instruction limit reached!
% 91.16/13.57 % (3019708)------------------------------
% 91.16/13.57 % (3019708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.16/13.57 % (3019708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.16/13.57 % (3019708)CaDiCaL version: 2.1.3
% 91.16/13.57 % (3019708)Termination reason: Instruction limit
% 91.16/13.57 % (3019708)Termination phase: Saturation
% 91.16/13.57 % (3019708)Time elapsed: 0.260 s
% 91.16/13.57 % (3019708)Peak memory usage: 96 MB
% 91.16/13.57 % (3019708)Instructions burned: 433 (million)
% 91.16/13.57 % (3019706)Instruction limit reached!
% 91.16/13.57 % (3019706)------------------------------
% 91.16/13.57 % (3019706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.16/13.57 % (3019706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.16/13.57 % (3019706)CaDiCaL version: 2.1.3
% 91.16/13.57 % (3019706)Termination reason: Instruction limit
% 91.16/13.57 % (3019706)Termination phase: Saturation
% 91.16/13.57 % (3019706)Time elapsed: 0.543 s
% 91.16/13.57 % (3019706)Peak memory usage: 127 MB
% 91.16/13.57 % (3019706)Instructions burned: 1098 (million)
% 91.16/13.57 % (3019710)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=3769028726:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2932 on theBenchmark for (2932ds/2942Mi)
% 91.16/13.57 % (3019704)Instruction limit reached!
% 91.16/13.57 % (3019704)------------------------------
% 91.16/13.57 % (3019704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.16/13.57 % (3019704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.16/13.57 % (3019704)CaDiCaL version: 2.1.3
% 91.16/13.57 % (3019704)Termination reason: Instruction limit
% 91.16/13.57 % (3019704)Termination phase: Saturation
% 91.16/13.57 % (3019704)Time elapsed: 0.839 s
% 91.16/13.57 % (3019704)Peak memory usage: 135 MB
% 91.16/13.57 % (3019704)Instructions burned: 2091 (million)
% 91.16/13.57 % (3019711)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=687834876:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2931 on theBenchmark for (2931ds/6922Mi)
% 91.16/13.57 % (3019713)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=4146963669:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2930 on theBenchmark for (2930ds/596Mi)
% 91.16/13.57 % (3019713)Instruction limit reached!
% 91.16/13.57 % (3019713)------------------------------
% 91.16/13.57 % (3019713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.16/13.57 % (3019713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.16/13.57 % (3019713)CaDiCaL version: 2.1.3
% 91.16/13.57 % (3019713)Termination reason: Instruction limit
% 91.16/13.57 % (3019713)Termination phase: Saturation
% 91.16/13.57 % (3019713)Time elapsed: 0.161 s
% 91.16/13.57 % (3019713)Peak memory usage: 107 MB
% 91.16/13.57 % (3019713)Instructions burned: 600 (million)
% 91.16/13.57 % (3019716)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=2060693090:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2927 on theBenchmark for (2927ds/4123Mi)
% 91.16/13.57 % (3019692)Instruction limit reached!
% 91.16/13.57 % (3019692)------------------------------
% 91.16/13.57 % (3019692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.16/13.57 % (3019692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.16/13.57 % (3019692)CaDiCaL version: 2.1.3
% 91.16/13.57 % (3019692)Termination reason: Instruction limit
% 91.16/13.57 % (3019692)Termination phase: Saturation
% 91.16/13.57 % (3019692)Time elapsed: 4.457 s
% 91.16/13.57 % (3019692)Peak memory usage: 218 MB
% 91.16/13.57 % (3019692)Instructions burned: 8479 (million)
% 91.16/13.57 % (3019718)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2881176903:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2920 on theBenchmark for (2920ds/16411Mi)
% 91.16/13.57 % (3019716)Instruction limit reached!
% 91.16/13.57 % (3019716)------------------------------
% 91.16/13.57 % (3019716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.16/13.57 % (3019716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.16/13.57 % (3019716)CaDiCaL version: 2.1.3
% 91.16/13.57 % (3019716)Termination reason: Instruction limit
% 91.16/13.57 % (3019716)Termination phase: Saturation
% 91.16/13.57 % (3019716)Time elapsed: 1.342 s
% 91.16/13.57 % (3019716)Peak memory usage: 162 MB
% 91.16/13.57 % (3019716)Instructions burned: 4124 (million)
% 91.16/13.57 % (3019721)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=3986424863:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2912 on theBenchmark for (2912ds/1670Mi)
% 91.16/13.57 % (3019710)Instruction limit reached!
% 91.16/13.57 % (3019710)------------------------------
% 91.16/13.57 % (3019710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.16/13.57 % (3019710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.16/13.57 % (3019710)CaDiCaL version: 2.1.3
% 91.16/13.57 % (3019710)Termination reason: Instruction limit
% 91.16/13.57 % (3019710)Termination phase: Saturation
% 91.16/13.57 % (3019710)Time elapsed: 2.089 s
% 91.16/13.57 % (3019710)Peak memory usage: 139 MB
% 91.16/13.57 % (3019710)Instructions burned: 2942 (million)
% 91.16/13.57 % (3019723)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=3354156123:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2909 on theBenchmark for (2909ds/1722Mi)
% 91.16/13.57 % (3019721)Instruction limit reached!
% 91.16/13.57 % (3019721)------------------------------
% 91.16/13.57 % (3019721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.16/13.57 % (3019721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.16/13.57 % (3019721)CaDiCaL version: 2.1.3
% 91.16/13.57 % (3019721)Termination reason: Instruction limit
% 91.16/13.57 % (3019721)Termination phase: Saturation
% 91.16/13.57 % (3019721)Time elapsed: 0.611 s
% 91.16/13.57 % (3019721)Peak memory usage: 136 MB
% 91.16/13.57 % (3019721)Instructions burned: 1674 (million)
% 91.16/13.57 % (3019725)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=1224801518:cts=off:cond=on:i=9530:bs=on:fsd=on_2905 on theBenchmark for (2905ds/9530Mi)
% 91.16/13.57 % (3019723)Instruction limit reached!
% 91.16/13.57 % (3019723)------------------------------
% 91.16/13.58 % (3019723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.16/13.58 % (3019723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.16/13.58 % (3019723)CaDiCaL version: 2.1.3
% 91.16/13.58 % (3019723)Termination reason: Instruction limit
% 91.16/13.58 % (3019723)Termination phase: Saturation
% 91.16/13.58 % (3019723)Time elapsed: 1.242 s
% 91.16/13.58 % (3019723)Peak memory usage: 134 MB
% 91.16/13.58 % (3019723)Instructions burned: 1723 (million)
% 91.16/13.58 % (3019727)lrs+10_1_ncem=casc2026/models/loop4.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2361229397:st=2:i=4495:sd=10:ss=included_2895 on theBenchmark for (2895ds/4495Mi)
% 91.16/13.58 % (3019711)Instruction limit reached!
% 91.16/13.58 % (3019711)------------------------------
% 91.16/13.58 % (3019711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.16/13.58 % (3019711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.16/13.58 % (3019711)CaDiCaL version: 2.1.3
% 91.16/13.58 % (3019711)Termination reason: Instruction limit
% 91.16/13.58 % (3019711)Termination phase: Saturation
% 91.16/13.58 % (3019711)Time elapsed: 3.631 s
% 91.16/13.58 % (3019711)Peak memory usage: 200 MB
% 91.16/13.58 % (3019711)Instructions burned: 6923 (million)
% 91.16/13.58 % (3019729)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=2104250230:cond=fast:i=4920:s2at=1.9:kws=inv_frequency:av=off:er=filter_2893 on theBenchmark for (2893ds/4920Mi)
% 91.16/13.58 % (3019729)First to succeed.
% 91.16/13.58 % (3019729)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3019631"
% 91.16/13.58 % (3019725)Instruction limit reached!
% 91.16/13.58 % (3019725)------------------------------
% 91.16/13.58 % (3019725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.16/13.58 % (3019725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.16/13.58 % (3019725)CaDiCaL version: 2.1.3
% 91.16/13.58 % (3019725)Termination reason: Instruction limit
% 91.16/13.58 % (3019725)Termination phase: Saturation
% 91.16/13.58 % (3019725)Time elapsed: 3.105 s
% 91.16/13.58 % (3019725)Peak memory usage: 153 MB
% 91.16/13.58 % (3019725)Instructions burned: 9530 (million)
% 91.16/13.58 % (3019729)Refutation found. Thanks to Tanya!
% 91.16/13.58 % SZS status Unsatisfiable for theBenchmark
% 91.16/13.58 % SZS output start Proof for theBenchmark
% See solution above
% 91.75/13.78 % (3019729)------------------------------
% 91.75/13.78 % (3019729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.75/13.78 % (3019729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.75/13.78 % (3019729)CaDiCaL version: 2.1.3
% 91.75/13.78 % (3019729)Termination reason: Refutation
% 91.75/13.78 % (3019729)Time elapsed: 1.701 s
% 91.75/13.78 % (3019729)Peak memory usage: 139 MB
% 91.75/13.78 % (3019729)Instructions burned: 2517 (million)
% 91.75/13.78 % (3019729)------------------------------
% 91.75/13.78 % (3019729)------------------------------
% 91.75/13.78 % (3019631)Success in time 12.904 s
% 91.75/13.78 % Vampire exiting
%------------------------------------------------------------------------------