%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD050-2 : 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 : n008.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 09:49:13 AM UTC 2026
% Result : Unsatisfiable 13.59s 2.37s
% Output : Refutation 14.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 96
% Number of leaves : 27
% Syntax : Number of formulae : 163 ( 60 unt; 6 def)
% Number of atoms : 319 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 398 ( 242 ~; 156 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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] :
( ~ defined(X0)
| equalish(multiply(multiplicative_identity,X0),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(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(f21,axiom,
! [X0] :
( ~ defined(X0)
| equalish(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_equality) ).
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(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(f30,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f31,axiom,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
fof(f33,axiom,
defined(s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_is_defined) ).
fof(f34,negated_conjecture,
~ equalish(b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_not_equal_to_additive_identity_7) ).
fof(f35,negated_conjecture,
~ equalish(d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_not_equal_to_additive_identity_8) ).
fof(f36,negated_conjecture,
equalish(multiply(a,multiplicative_inverse(b)),s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_s_9) ).
fof(f37,negated_conjecture,
equalish(multiply(a,d),k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_k_10) ).
fof(f38,negated_conjecture,
equalish(multiply(b,c),k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_k_11) ).
fof(f39,negated_conjecture,
~ equalish(multiply(c,multiplicative_inverse(d)),s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_not_equal_to_s_12) ).
fof(f40,definition,
sF0 = multiplicative_inverse(b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f41,plain,
multiplicative_inverse(b) = sF0,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF1 = multiply(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f43,plain,
multiply(a,sF0) = sF1,
inference(reorient_equations,[],[f42]) ).
fof(f44,plain,
equalish(sF1,s),
inference(definition_folding,[],[f36,f43,f41]) ).
fof(f45,definition,
sF2 = multiply(a,d),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f46,plain,
multiply(a,d) = sF2,
inference(reorient_equations,[],[f45]) ).
fof(f47,plain,
equalish(sF2,k),
inference(definition_folding,[],[f37,f46]) ).
fof(f48,definition,
sF3 = multiply(b,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f49,plain,
multiply(b,c) = sF3,
inference(reorient_equations,[],[f48]) ).
fof(f50,plain,
equalish(sF3,k),
inference(definition_folding,[],[f38,f49]) ).
fof(f51,definition,
sF4 = multiplicative_inverse(d),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f52,plain,
multiplicative_inverse(d) = sF4,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF5 = multiply(c,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f54,plain,
multiply(c,sF4) = sF5,
inference(reorient_equations,[],[f53]) ).
fof(f55,plain,
~ equalish(sF5,s),
inference(definition_folding,[],[f39,f54,f52]) ).
fof(f60,plain,
equalish(c,c),
inference(resolution,[],[f21,f30]) ).
fof(f76,plain,
equalish(multiply(multiplicative_identity,c),c),
inference(resolution,[],[f6,f30]) ).
fof(f79,plain,
equalish(multiply(multiplicative_identity,s),s),
inference(resolution,[],[f6,f33]) ).
fof(f84,plain,
( defined(sF3)
| ~ defined(b)
| ~ defined(c) ),
inference(superposition,[],[f13,f49]) ).
fof(f85,plain,
( defined(sF5)
| ~ defined(c)
| ~ defined(sF4) ),
inference(superposition,[],[f13,f54]) ).
fof(f86,plain,
( defined(sF5)
| ~ defined(sF4) ),
inference(forward_subsumption_resolution,[],[f85,f30]) ).
fof(f87,plain,
( defined(sF3)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f84,f29]) ).
fof(f90,plain,
defined(sF3),
inference(forward_subsumption_resolution,[],[f87,f30]) ).
fof(f96,plain,
( ~ defined(sF4)
| equalish(multiply(multiplicative_identity,sF5),sF5) ),
inference(resolution,[],[f86,f6]) ).
fof(f102,plain,
( defined(sF0)
| ~ defined(b)
| equalish(b,additive_identity) ),
inference(superposition,[],[f15,f41]) ).
fof(f103,plain,
( defined(sF4)
| ~ defined(d)
| equalish(d,additive_identity) ),
inference(superposition,[],[f15,f52]) ).
fof(f104,plain,
( defined(sF4)
| equalish(d,additive_identity) ),
inference(forward_subsumption_resolution,[],[f103,f31]) ).
fof(f105,plain,
( defined(sF0)
| equalish(b,additive_identity) ),
inference(forward_subsumption_resolution,[],[f102,f29]) ).
fof(f106,plain,
defined(sF4),
inference(forward_subsumption_resolution,[],[f104,f35]) ).
fof(f107,plain,
defined(sF0),
inference(forward_subsumption_resolution,[],[f105,f34]) ).
fof(f108,plain,
equalish(multiply(multiplicative_identity,sF5),sF5),
inference(resolution,[],[f106,f96]) ).
fof(f122,plain,
! [X0] :
( ~ equalish(sF5,X0)
| ~ equalish(X0,s) ),
inference(resolution,[],[f23,f55]) ).
fof(f132,plain,
! [X0] :
( ~ equalish(X0,sF5)
| ~ equalish(X0,s) ),
inference(resolution,[],[f122,f22]) ).
fof(f160,plain,
~ equalish(multiply(multiplicative_identity,sF5),s),
inference(resolution,[],[f132,f108]) ).
fof(f162,plain,
! [X0] :
( ~ equalish(multiply(multiplicative_identity,sF5),X0)
| ~ equalish(X0,s) ),
inference(resolution,[],[f160,f23]) ).
fof(f180,plain,
! [X0] :
( ~ equalish(X0,s)
| ~ equalish(X0,multiply(multiplicative_identity,sF5)) ),
inference(resolution,[],[f162,f22]) ).
fof(f190,plain,
~ equalish(multiply(multiplicative_identity,s),multiply(multiplicative_identity,sF5)),
inference(resolution,[],[f180,f79]) ).
fof(f198,plain,
~ equalish(multiply(multiplicative_identity,sF5),multiply(multiplicative_identity,s)),
inference(resolution,[],[f190,f22]) ).
fof(f199,plain,
! [X0] :
( ~ equalish(multiply(multiplicative_identity,sF5),X0)
| ~ equalish(X0,multiply(multiplicative_identity,s)) ),
inference(resolution,[],[f198,f23]) ).
fof(f273,plain,
( equalish(multiply(b,sF0),multiplicative_identity)
| ~ defined(b)
| equalish(b,additive_identity) ),
inference(superposition,[],[f7,f41]) ).
fof(f274,plain,
( equalish(multiply(d,sF4),multiplicative_identity)
| ~ defined(d)
| equalish(d,additive_identity) ),
inference(superposition,[],[f7,f52]) ).
fof(f275,plain,
( equalish(multiply(d,sF4),multiplicative_identity)
| equalish(d,additive_identity) ),
inference(forward_subsumption_resolution,[],[f274,f31]) ).
fof(f276,plain,
( equalish(multiply(b,sF0),multiplicative_identity)
| equalish(b,additive_identity) ),
inference(forward_subsumption_resolution,[],[f273,f29]) ).
fof(f277,plain,
equalish(multiply(d,sF4),multiplicative_identity),
inference(forward_subsumption_resolution,[],[f275,f35]) ).
fof(f278,plain,
equalish(multiply(b,sF0),multiplicative_identity),
inference(forward_subsumption_resolution,[],[f276,f34]) ).
fof(f309,plain,
~ equalish(sF5,multiply(multiplicative_identity,s)),
inference(resolution,[],[f199,f108]) ).
fof(f313,plain,
~ equalish(multiply(multiplicative_identity,s),sF5),
inference(resolution,[],[f309,f22]) ).
fof(f314,plain,
! [X0] :
( ~ equalish(multiply(multiplicative_identity,s),X0)
| ~ equalish(X0,sF5) ),
inference(resolution,[],[f313,f23]) ).
fof(f320,plain,
! [X0,X1] :
( ~ equalish(multiply(multiplicative_identity,s),X1)
| ~ equalish(X0,sF5)
| ~ equalish(X1,X0) ),
inference(resolution,[],[f314,f23]) ).
fof(f667,plain,
( equalish(sF1,multiply(sF0,a))
| ~ defined(a)
| ~ defined(sF0) ),
inference(superposition,[],[f8,f43]) ).
fof(f682,plain,
( equalish(sF1,multiply(sF0,a))
| ~ defined(sF0) ),
inference(forward_subsumption_resolution,[],[f667,f28]) ).
fof(f733,plain,
equalish(sF1,multiply(sF0,a)),
inference(forward_subsumption_resolution,[],[f682,f107]) ).
fof(f1097,plain,
! [X0,X1] :
( ~ defined(s)
| ~ equalish(multiplicative_identity,X0)
| ~ equalish(X1,sF5)
| ~ equalish(multiply(X0,s),X1) ),
inference(resolution,[],[f25,f320]) ).
fof(f1136,plain,
! [X0] :
( equalish(multiply(X0,sF4),sF5)
| ~ defined(sF4)
| ~ equalish(X0,c) ),
inference(superposition,[],[f25,f54]) ).
fof(f1137,plain,
! [X0] :
( equalish(multiply(X0,sF4),sF5)
| ~ equalish(X0,c) ),
inference(forward_subsumption_resolution,[],[f1136,f106]) ).
fof(f1159,plain,
! [X0,X1] :
( ~ equalish(multiplicative_identity,X0)
| ~ equalish(X1,sF5)
| ~ equalish(multiply(X0,s),X1) ),
inference(forward_subsumption_resolution,[],[f1097,f33]) ).
fof(f1538,plain,
! [X0] :
( equalish(multiply(X0,sF3),multiply(multiply(X0,b),c))
| ~ defined(X0)
| ~ defined(b)
| ~ defined(c) ),
inference(superposition,[],[f5,f49]) ).
fof(f1541,plain,
! [X0] :
( equalish(multiply(a,multiply(d,X0)),multiply(sF2,X0))
| ~ defined(a)
| ~ defined(d)
| ~ defined(X0) ),
inference(superposition,[],[f5,f46]) ).
fof(f1546,plain,
! [X0] :
( equalish(multiply(a,multiply(d,X0)),multiply(sF2,X0))
| ~ defined(d)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f1541,f28]) ).
fof(f1549,plain,
! [X0] :
( equalish(multiply(X0,sF3),multiply(multiply(X0,b),c))
| ~ defined(X0)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f1538,f29]) ).
fof(f1554,plain,
! [X0] :
( equalish(multiply(a,multiply(d,X0)),multiply(sF2,X0))
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f1546,f31]) ).
fof(f1557,plain,
! [X0] :
( equalish(multiply(X0,sF3),multiply(multiply(X0,b),c))
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f1549,f30]) ).
fof(f4285,plain,
! [X0,X1] :
( ~ equalish(X1,multiplicative_identity)
| ~ equalish(multiply(X1,s),X0)
| ~ equalish(X0,sF5) ),
inference(resolution,[],[f1159,f22]) ).
fof(f4424,plain,
! [X0] :
( ~ equalish(multiply(multiply(d,sF4),s),X0)
| ~ equalish(X0,sF5) ),
inference(resolution,[],[f4285,f277]) ).
fof(f4438,plain,
( ~ equalish(multiply(s,multiply(d,sF4)),sF5)
| ~ defined(multiply(d,sF4))
| ~ defined(s) ),
inference(resolution,[],[f4424,f8]) ).
fof(f4443,plain,
( ~ defined(multiply(d,sF4))
| ~ equalish(multiply(s,multiply(d,sF4)),sF5) ),
inference(forward_subsumption_resolution,[],[f4438,f33]) ).
fof(f4859,plain,
( ~ equalish(multiply(s,multiply(d,sF4)),sF5)
| ~ defined(d)
| ~ defined(sF4) ),
inference(resolution,[],[f4443,f13]) ).
fof(f4860,plain,
( ~ equalish(multiply(s,multiply(d,sF4)),sF5)
| ~ defined(sF4) ),
inference(forward_subsumption_resolution,[],[f4859,f31]) ).
fof(f4861,plain,
~ equalish(multiply(s,multiply(d,sF4)),sF5),
inference(forward_subsumption_resolution,[],[f4860,f106]) ).
fof(f4862,plain,
! [X0] :
( ~ equalish(multiply(s,multiply(d,sF4)),X0)
| ~ equalish(X0,sF5) ),
inference(resolution,[],[f4861,f23]) ).
fof(f4866,plain,
( ~ equalish(multiply(multiply(s,d),sF4),sF5)
| ~ defined(s)
| ~ defined(d)
| ~ defined(sF4) ),
inference(resolution,[],[f4862,f5]) ).
fof(f4871,plain,
( ~ equalish(multiply(multiply(s,d),sF4),sF5)
| ~ defined(d)
| ~ defined(sF4) ),
inference(forward_subsumption_resolution,[],[f4866,f33]) ).
fof(f4872,plain,
( ~ equalish(multiply(multiply(s,d),sF4),sF5)
| ~ defined(sF4) ),
inference(forward_subsumption_resolution,[],[f4871,f31]) ).
fof(f4873,plain,
~ equalish(multiply(multiply(s,d),sF4),sF5),
inference(forward_subsumption_resolution,[],[f4872,f106]) ).
fof(f4874,plain,
~ equalish(multiply(s,d),c),
inference(resolution,[],[f4873,f1137]) ).
fof(f4877,plain,
! [X0] :
( ~ equalish(multiply(s,d),X0)
| ~ equalish(X0,c) ),
inference(resolution,[],[f4874,f23]) ).
fof(f4885,plain,
! [X0] :
( ~ equalish(multiply(X0,d),c)
| ~ defined(d)
| ~ equalish(s,X0) ),
inference(resolution,[],[f4877,f25]) ).
fof(f4888,plain,
! [X0] :
( ~ equalish(multiply(X0,d),c)
| ~ equalish(s,X0) ),
inference(forward_subsumption_resolution,[],[f4885,f31]) ).
fof(f4907,plain,
! [X0] :
( ~ equalish(c,multiply(X0,d))
| ~ equalish(s,X0) ),
inference(resolution,[],[f4888,f22]) ).
fof(f4922,plain,
! [X0,X1] :
( ~ equalish(s,X0)
| ~ equalish(c,X1)
| ~ equalish(X1,multiply(X0,d)) ),
inference(resolution,[],[f4907,f23]) ).
fof(f6156,plain,
! [X0,X1] :
( ~ equalish(c,X0)
| ~ equalish(X0,multiply(X1,d))
| ~ equalish(X1,s) ),
inference(resolution,[],[f4922,f22]) ).
fof(f6198,plain,
! [X0,X1] :
( ~ equalish(X1,s)
| ~ equalish(X0,multiply(X1,d))
| ~ equalish(X0,c) ),
inference(resolution,[],[f6156,f22]) ).
fof(f6402,plain,
! [X0] :
( ~ equalish(X0,c)
| ~ equalish(X0,multiply(sF1,d)) ),
inference(resolution,[],[f6198,f44]) ).
fof(f6406,plain,
~ equalish(c,multiply(sF1,d)),
inference(resolution,[],[f6402,f60]) ).
fof(f6408,plain,
~ equalish(multiply(sF1,d),c),
inference(resolution,[],[f6406,f22]) ).
fof(f6409,plain,
! [X0] :
( ~ equalish(multiply(sF1,d),X0)
| ~ equalish(X0,c) ),
inference(resolution,[],[f6408,f23]) ).
fof(f6419,plain,
! [X0] :
( ~ equalish(multiply(X0,d),c)
| ~ defined(d)
| ~ equalish(sF1,X0) ),
inference(resolution,[],[f6409,f25]) ).
fof(f6423,plain,
! [X0] :
( ~ equalish(multiply(X0,d),c)
| ~ equalish(sF1,X0) ),
inference(forward_subsumption_resolution,[],[f6419,f31]) ).
fof(f6439,plain,
! [X0,X1] :
( ~ equalish(sF1,X0)
| ~ equalish(multiply(X0,d),X1)
| ~ equalish(X1,c) ),
inference(resolution,[],[f6423,f23]) ).
fof(f6912,plain,
! [X0] :
( ~ equalish(multiply(multiply(sF0,a),d),X0)
| ~ equalish(X0,c) ),
inference(resolution,[],[f6439,f733]) ).
fof(f6916,plain,
( ~ equalish(multiply(d,multiply(sF0,a)),c)
| ~ defined(multiply(sF0,a))
| ~ defined(d) ),
inference(resolution,[],[f6912,f8]) ).
fof(f6922,plain,
( ~ defined(multiply(sF0,a))
| ~ equalish(multiply(d,multiply(sF0,a)),c) ),
inference(forward_subsumption_resolution,[],[f6916,f31]) ).
fof(f7055,plain,
( ~ equalish(multiply(d,multiply(sF0,a)),c)
| ~ defined(sF0)
| ~ defined(a) ),
inference(resolution,[],[f6922,f13]) ).
fof(f7056,plain,
( ~ equalish(multiply(d,multiply(sF0,a)),c)
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f7055,f107]) ).
fof(f7057,plain,
~ equalish(multiply(d,multiply(sF0,a)),c),
inference(forward_subsumption_resolution,[],[f7056,f28]) ).
fof(f7058,plain,
! [X0] :
( ~ equalish(multiply(d,multiply(sF0,a)),X0)
| ~ equalish(X0,c) ),
inference(resolution,[],[f7057,f23]) ).
fof(f7062,plain,
( ~ equalish(multiply(multiply(d,sF0),a),c)
| ~ defined(d)
| ~ defined(sF0)
| ~ defined(a) ),
inference(resolution,[],[f7058,f5]) ).
fof(f7067,plain,
( ~ equalish(multiply(multiply(d,sF0),a),c)
| ~ defined(sF0)
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f7062,f31]) ).
fof(f7068,plain,
( ~ equalish(multiply(multiply(d,sF0),a),c)
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f7067,f107]) ).
fof(f7069,plain,
~ equalish(multiply(multiply(d,sF0),a),c),
inference(forward_subsumption_resolution,[],[f7068,f28]) ).
fof(f7070,plain,
! [X0] :
( ~ equalish(multiply(multiply(d,sF0),a),X0)
| ~ equalish(X0,c) ),
inference(resolution,[],[f7069,f23]) ).
fof(f7085,plain,
( ~ equalish(multiply(a,multiply(d,sF0)),c)
| ~ defined(multiply(d,sF0))
| ~ defined(a) ),
inference(resolution,[],[f7070,f8]) ).
fof(f7090,plain,
( ~ defined(multiply(d,sF0))
| ~ equalish(multiply(a,multiply(d,sF0)),c) ),
inference(forward_subsumption_resolution,[],[f7085,f28]) ).
fof(f7383,plain,
( ~ equalish(multiply(a,multiply(d,sF0)),c)
| ~ defined(d)
| ~ defined(sF0) ),
inference(resolution,[],[f7090,f13]) ).
fof(f7384,plain,
( ~ equalish(multiply(a,multiply(d,sF0)),c)
| ~ defined(sF0) ),
inference(forward_subsumption_resolution,[],[f7383,f31]) ).
fof(f7385,plain,
~ equalish(multiply(a,multiply(d,sF0)),c),
inference(forward_subsumption_resolution,[],[f7384,f107]) ).
fof(f7386,plain,
! [X0] :
( ~ equalish(multiply(a,multiply(d,sF0)),X0)
| ~ equalish(X0,c) ),
inference(resolution,[],[f7385,f23]) ).
fof(f7390,plain,
( ~ equalish(multiply(sF2,sF0),c)
| ~ defined(sF0) ),
inference(resolution,[],[f7386,f1554]) ).
fof(f7397,plain,
~ equalish(multiply(sF2,sF0),c),
inference(forward_subsumption_resolution,[],[f7390,f107]) ).
fof(f7400,plain,
! [X0] :
( ~ equalish(multiply(sF2,sF0),X0)
| ~ equalish(X0,c) ),
inference(resolution,[],[f7397,f23]) ).
fof(f7411,plain,
! [X0] :
( ~ equalish(multiply(X0,sF0),c)
| ~ defined(sF0)
| ~ equalish(sF2,X0) ),
inference(resolution,[],[f7400,f25]) ).
fof(f7415,plain,
! [X0] :
( ~ equalish(multiply(X0,sF0),c)
| ~ equalish(sF2,X0) ),
inference(forward_subsumption_resolution,[],[f7411,f107]) ).
fof(f7439,plain,
! [X0,X1] :
( ~ equalish(sF2,X0)
| ~ equalish(multiply(X0,sF0),X1)
| ~ equalish(X1,c) ),
inference(resolution,[],[f7415,f23]) ).
fof(f8281,plain,
! [X0] :
( ~ equalish(multiply(k,sF0),X0)
| ~ equalish(X0,c) ),
inference(resolution,[],[f7439,f47]) ).
fof(f8288,plain,
! [X0] :
( ~ equalish(multiply(X0,sF0),c)
| ~ defined(sF0)
| ~ equalish(k,X0) ),
inference(resolution,[],[f8281,f25]) ).
fof(f8294,plain,
! [X0] :
( ~ equalish(multiply(X0,sF0),c)
| ~ equalish(k,X0) ),
inference(forward_subsumption_resolution,[],[f8288,f107]) ).
fof(f8323,plain,
! [X0] :
( ~ equalish(c,multiply(X0,sF0))
| ~ equalish(k,X0) ),
inference(resolution,[],[f8294,f22]) ).
fof(f8334,plain,
! [X0,X1] :
( ~ equalish(k,X0)
| ~ equalish(c,X1)
| ~ equalish(X1,multiply(X0,sF0)) ),
inference(resolution,[],[f8323,f23]) ).
fof(f8731,plain,
! [X0,X1] :
( ~ equalish(c,X0)
| ~ equalish(X0,multiply(X1,sF0))
| ~ equalish(X1,k) ),
inference(resolution,[],[f8334,f22]) ).
fof(f8788,plain,
! [X0,X1] :
( ~ equalish(X1,k)
| ~ equalish(X0,multiply(X1,sF0))
| ~ equalish(X0,c) ),
inference(resolution,[],[f8731,f22]) ).
fof(f8860,plain,
! [X0] :
( ~ equalish(X0,c)
| ~ equalish(X0,multiply(sF3,sF0)) ),
inference(resolution,[],[f8788,f50]) ).
fof(f8864,plain,
~ equalish(c,multiply(sF3,sF0)),
inference(resolution,[],[f8860,f60]) ).
fof(f8866,plain,
~ equalish(multiply(sF3,sF0),c),
inference(resolution,[],[f8864,f22]) ).
fof(f8867,plain,
! [X0] :
( ~ equalish(multiply(sF3,sF0),X0)
| ~ equalish(X0,c) ),
inference(resolution,[],[f8866,f23]) ).
fof(f9034,plain,
( ~ equalish(multiply(sF0,sF3),c)
| ~ defined(sF3)
| ~ defined(sF0) ),
inference(resolution,[],[f8867,f8]) ).
fof(f9041,plain,
( ~ equalish(multiply(sF0,sF3),c)
| ~ defined(sF0) ),
inference(forward_subsumption_resolution,[],[f9034,f90]) ).
fof(f9042,plain,
~ equalish(multiply(sF0,sF3),c),
inference(forward_subsumption_resolution,[],[f9041,f107]) ).
fof(f9043,plain,
! [X0] :
( ~ equalish(multiply(sF0,sF3),X0)
| ~ equalish(X0,c) ),
inference(resolution,[],[f9042,f23]) ).
fof(f9056,plain,
( ~ equalish(multiply(multiply(sF0,b),c),c)
| ~ defined(sF0) ),
inference(resolution,[],[f9043,f1557]) ).
fof(f9063,plain,
~ equalish(multiply(multiply(sF0,b),c),c),
inference(forward_subsumption_resolution,[],[f9056,f107]) ).
fof(f9064,plain,
! [X0] :
( ~ equalish(multiply(multiply(sF0,b),c),X0)
| ~ equalish(X0,c) ),
inference(resolution,[],[f9063,f23]) ).
fof(f9342,plain,
! [X0] :
( ~ equalish(X0,c)
| ~ equalish(X0,multiply(multiply(sF0,b),c)) ),
inference(resolution,[],[f9064,f22]) ).
fof(f9395,plain,
~ equalish(multiply(multiplicative_identity,c),multiply(multiply(sF0,b),c)),
inference(resolution,[],[f9342,f76]) ).
fof(f9397,plain,
( ~ defined(c)
| ~ equalish(multiplicative_identity,multiply(sF0,b)) ),
inference(resolution,[],[f9395,f25]) ).
fof(f9400,plain,
~ equalish(multiplicative_identity,multiply(sF0,b)),
inference(forward_subsumption_resolution,[],[f9397,f30]) ).
fof(f9402,plain,
~ equalish(multiply(sF0,b),multiplicative_identity),
inference(resolution,[],[f9400,f22]) ).
fof(f9403,plain,
! [X0] :
( ~ equalish(multiply(sF0,b),X0)
| ~ equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f9402,f23]) ).
fof(f9408,plain,
( ~ equalish(multiply(b,sF0),multiplicative_identity)
| ~ defined(sF0)
| ~ defined(b) ),
inference(resolution,[],[f9403,f8]) ).
fof(f9414,plain,
( ~ defined(sF0)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f9408,f278]) ).
fof(f9415,plain,
~ defined(b),
inference(forward_subsumption_resolution,[],[f9414,f107]) ).
fof(f9416,plain,
$false,
inference(forward_subsumption_resolution,[],[f9415,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD050-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n008.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 00:40:10 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 7.21/1.56 % (2815919)Input is clausal, will run a generic CNF schedule.
% 7.21/1.56 % (2815929)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3616256135:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.21/1.56 % (2815925)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3201031884:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.21/1.56 % (2815927)lrs+10_1_sil=8000:sp=occurrence:random_seed=3950792595:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.21/1.56 % (2815928)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1194651618:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.21/1.56 % (2815924)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=2115783558:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.21/1.56 % (2815926)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2665861930:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.21/1.56 % (2815930)dis-21_1_sil=8000:lcm=predicate:random_seed=1271587471: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)
% 7.21/1.56 % (2815929)Instruction limit reached!
% 7.21/1.56 % (2815929)------------------------------
% 7.21/1.56 % (2815929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.56 % (2815929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.56 % (2815929)CaDiCaL version: 2.1.3
% 7.21/1.56 % (2815929)Termination reason: Instruction limit
% 7.21/1.56 % (2815929)Termination phase: Saturation
% 7.21/1.56 % (2815929)Time elapsed: 0.060 s
% 7.21/1.56 % (2815929)Peak memory usage: 89 MB
% 7.21/1.56 % (2815929)Instructions burned: 181 (million)
% 7.21/1.56 % (2815927)Instruction limit reached!
% 7.21/1.56 % (2815927)------------------------------
% 7.21/1.56 % (2815927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.56 % (2815927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.56 % (2815927)CaDiCaL version: 2.1.3
% 7.21/1.56 % (2815927)Termination reason: Instruction limit
% 7.21/1.56 % (2815927)Termination phase: Saturation
% 7.21/1.56 % (2815927)Time elapsed: 0.067 s
% 7.21/1.56 % (2815927)Peak memory usage: 89 MB
% 7.21/1.56 % (2815927)Instructions burned: 107 (million)
% 7.21/1.56 % (2815928)Instruction limit reached!
% 7.21/1.56 % (2815928)------------------------------
% 7.21/1.56 % (2815928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.56 % (2815928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.56 % (2815928)CaDiCaL version: 2.1.3
% 7.21/1.56 % (2815928)Termination reason: Instruction limit
% 7.21/1.56 % (2815928)Termination phase: Saturation
% 7.21/1.56 % (2815928)Time elapsed: 0.069 s
% 7.21/1.56 % (2815928)Peak memory usage: 88 MB
% 7.21/1.56 % (2815928)Instructions burned: 115 (million)
% 7.21/1.56 % (2815930)Instruction limit reached!
% 7.21/1.56 % (2815930)------------------------------
% 7.21/1.56 % (2815930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.56 % (2815930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.56 % (2815930)CaDiCaL version: 2.1.3
% 7.21/1.56 % (2815930)Termination reason: Instruction limit
% 7.21/1.56 % (2815930)Termination phase: Saturation
% 7.21/1.56 % (2815930)Time elapsed: 0.073 s
% 7.21/1.56 % (2815930)Peak memory usage: 89 MB
% 7.21/1.56 % (2815930)Instructions burned: 118 (million)
% 7.21/1.56 % (2815938)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=1018099098:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.21/1.56 % (2815938)Instruction limit reached!
% 7.21/1.56 % (2815938)------------------------------
% 7.21/1.56 % (2815938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/1.56 % (2815938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/1.56 % (2815938)CaDiCaL version: 2.1.3
% 7.21/1.56 % (2815938)Termination reason: Instruction limit
% 7.21/1.56 % (2815938)Termination phase: Saturation
% 7.21/1.56 % (2815938)Time elapsed: 0.046 s
% 7.21/1.56 % (2815938)Peak memory usage: 89 MB
% 7.21/1.56 % (2815938)Instructions burned: 144 (million)
% 13.59/2.37 % (2815939)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3977880419:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 13.59/2.37 % (2815940)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2038187760:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 13.59/2.37 % (2815941)lrs+10_64_to=lpo:sil=8000:random_seed=2154679243:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 13.59/2.37 % (2815945)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3201253621:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 13.59/2.37 % (2815941)Instruction limit reached!
% 13.59/2.37 % (2815941)------------------------------
% 13.59/2.37 % (2815941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/2.37 % (2815941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/2.37 % (2815941)CaDiCaL version: 2.1.3
% 13.59/2.37 % (2815941)Termination reason: Instruction limit
% 13.59/2.37 % (2815941)Termination phase: Saturation
% 13.59/2.37 % (2815941)Time elapsed: 0.077 s
% 13.59/2.37 % (2815941)Peak memory usage: 88 MB
% 13.59/2.37 % (2815941)Instructions burned: 126 (million)
% 13.59/2.37 % (2815939)Instruction limit reached!
% 13.59/2.37 % (2815939)------------------------------
% 13.59/2.37 % (2815939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/2.37 % (2815939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/2.37 % (2815939)CaDiCaL version: 2.1.3
% 13.59/2.37 % (2815939)Termination reason: Instruction limit
% 13.59/2.37 % (2815939)Termination phase: Saturation
% 13.59/2.37 % (2815939)Time elapsed: 0.097 s
% 13.59/2.37 % (2815939)Peak memory usage: 94 MB
% 13.59/2.37 % (2815939)Instructions burned: 191 (million)
% 13.59/2.37 % (2815940)Instruction limit reached!
% 13.59/2.37 % (2815940)------------------------------
% 13.59/2.37 % (2815940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/2.37 % (2815940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/2.37 % (2815940)CaDiCaL version: 2.1.3
% 13.59/2.37 % (2815940)Termination reason: Instruction limit
% 13.59/2.37 % (2815940)Termination phase: Saturation
% 13.59/2.37 % (2815940)Time elapsed: 0.144 s
% 13.59/2.37 % (2815940)Peak memory usage: 90 MB
% 13.59/2.37 % (2815940)Instructions burned: 219 (million)
% 13.59/2.37 % (2815945)Instruction limit reached!
% 13.59/2.37 % (2815945)------------------------------
% 13.59/2.37 % (2815945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/2.37 % (2815945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/2.37 % (2815945)CaDiCaL version: 2.1.3
% 13.59/2.37 % (2815945)Termination reason: Instruction limit
% 13.59/2.37 % (2815945)Termination phase: Saturation
% 13.59/2.37 % (2815945)Time elapsed: 0.070 s
% 13.59/2.37 % (2815945)Peak memory usage: 89 MB
% 13.59/2.37 % (2815945)Instructions burned: 197 (million)
% 13.59/2.37 % (2815948)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2372866763:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 13.59/2.37 % (2815949)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1215318468:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 13.59/2.37 % (2815951)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3404324554:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 13.59/2.37 % (2815951)Instruction limit reached!
% 13.59/2.37 % (2815951)------------------------------
% 13.59/2.37 % (2815951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/2.37 % (2815951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/2.37 % (2815951)CaDiCaL version: 2.1.3
% 13.59/2.37 % (2815951)Termination reason: Instruction limit
% 13.59/2.37 % (2815951)Termination phase: Saturation
% 13.59/2.37 % (2815951)Time elapsed: 0.036 s
% 13.59/2.37 % (2815951)Peak memory usage: 89 MB
% 13.59/2.37 % (2815951)Instructions burned: 109 (million)
% 13.59/2.37 % (2815950)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=913003600:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 13.59/2.37 % (2815948)Instruction limit reached!
% 13.59/2.37 % (2815948)------------------------------
% 13.59/2.37 % (2815948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/2.37 % (2815948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/2.37 % (2815948)CaDiCaL version: 2.1.3
% 13.59/2.37 % (2815948)Termination reason: Instruction limit
% 13.59/2.37 % (2815948)Termination phase: Saturation
% 13.59/2.37 % (2815948)Time elapsed: 0.109 s
% 13.59/2.37 % (2815948)Peak memory usage: 91 MB
% 13.59/2.37 % (2815948)Instructions burned: 158 (million)
% 13.59/2.37 % (2815950)Instruction limit reached!
% 13.59/2.37 % (2815950)------------------------------
% 13.59/2.37 % (2815950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/2.37 % (2815950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/2.37 % (2815950)CaDiCaL version: 2.1.3
% 13.59/2.37 % (2815950)Termination reason: Instruction limit
% 13.59/2.37 % (2815950)Termination phase: Saturation
% 13.59/2.37 % (2815950)Time elapsed: 0.055 s
% 13.59/2.37 % (2815950)Peak memory usage: 90 MB
% 13.59/2.37 % (2815950)Instructions burned: 108 (million)
% 13.59/2.37 % (2815955)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1808906553:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 13.59/2.37 % (2815955)Instruction limit reached!
% 13.59/2.37 % (2815955)------------------------------
% 13.59/2.37 % (2815955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/2.37 % (2815955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/2.37 % (2815955)CaDiCaL version: 2.1.3
% 13.59/2.37 % (2815955)Termination reason: Instruction limit
% 13.59/2.37 % (2815955)Termination phase: Saturation
% 13.59/2.37 % (2815955)Time elapsed: 0.081 s
% 13.59/2.37 % (2815955)Peak memory usage: 89 MB
% 13.59/2.37 % (2815955)Instructions burned: 244 (million)
% 13.59/2.37 % (2815957)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1441826255:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 13.59/2.37 % (2815958)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3876240139:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 13.59/2.37 % (2815960)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1609689147:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 13.59/2.37 % (2815958)Instruction limit reached!
% 13.59/2.37 % (2815958)------------------------------
% 13.59/2.37 % (2815958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/2.37 % (2815958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/2.37 % (2815958)CaDiCaL version: 2.1.3
% 13.59/2.37 % (2815958)Termination reason: Instruction limit
% 13.59/2.37 % (2815958)Termination phase: Saturation
% 13.59/2.37 % (2815958)Time elapsed: 0.091 s
% 13.59/2.37 % (2815958)Peak memory usage: 89 MB
% 13.59/2.37 % (2815958)Instructions burned: 134 (million)
% 13.59/2.37 % (2815960)Instruction limit reached!
% 13.59/2.37 % (2815960)------------------------------
% 13.59/2.37 % (2815960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/2.37 % (2815960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/2.37 % (2815960)CaDiCaL version: 2.1.3
% 13.59/2.37 % (2815960)Termination reason: Instruction limit
% 13.59/2.37 % (2815960)Termination phase: Saturation
% 13.59/2.37 % (2815960)Time elapsed: 0.130 s
% 13.59/2.37 % (2815960)Peak memory usage: 106 MB
% 13.59/2.37 % (2815960)Instructions burned: 501 (million)
% 13.59/2.37 % (2815964)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1937673645:i=191:fgj=on:bd=all_2991 on theBenchmark for (2991ds/191Mi)
% 13.59/2.37 % (2815965)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1660114680:i=264:kws=precedence:fsr=off_2990 on theBenchmark for (2990ds/264Mi)
% 13.59/2.37 % (2815964)Instruction limit reached!
% 13.59/2.37 % (2815964)------------------------------
% 13.59/2.37 % (2815964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/2.37 % (2815964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/2.37 % (2815964)CaDiCaL version: 2.1.3
% 13.59/2.37 % (2815964)Termination reason: Instruction limit
% 13.59/2.37 % (2815964)Termination phase: Saturation
% 13.59/2.37 % (2815964)Time elapsed: 0.119 s
% 13.59/2.37 % (2815964)Peak memory usage: 91 MB
% 13.59/2.37 % (2815964)Instructions burned: 191 (million)
% 13.59/2.37 % (2815965)Instruction limit reached!
% 13.59/2.37 % (2815965)------------------------------
% 13.59/2.37 % (2815965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/2.37 % (2815965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/2.37 % (2815965)CaDiCaL version: 2.1.3
% 13.59/2.37 % (2815965)Termination reason: Instruction limit
% 13.59/2.37 % (2815965)Termination phase: Saturation
% 13.59/2.37 % (2815965)Time elapsed: 0.089 s
% 13.59/2.37 % (2815965)Peak memory usage: 90 MB
% 13.59/2.37 % (2815965)Instructions burned: 266 (million)
% 13.59/2.37 % (2815969)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=2663546027:i=3256:kws=precedence:bd=preordered:av=off_2988 on theBenchmark for (2988ds/3256Mi)
% 13.59/2.37 % (2815968)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2821668921:cond=on:i=156:bs=on:gtg=exists_all:er=known_2988 on theBenchmark for (2988ds/156Mi)
% 13.59/2.37 % (2815968)Instruction limit reached!
% 13.59/2.37 % (2815968)------------------------------
% 13.59/2.37 % (2815968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/2.37 % (2815968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/2.37 % (2815968)CaDiCaL version: 2.1.3
% 13.59/2.37 % (2815968)Termination reason: Instruction limit
% 13.59/2.37 % (2815968)Termination phase: Saturation
% 13.59/2.37 % (2815968)Time elapsed: 0.067 s
% 13.59/2.37 % (2815968)Peak memory usage: 88 MB
% 13.59/2.37 % (2815968)Instructions burned: 156 (million)
% 13.59/2.37 % (2815972)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=4066119893:i=537:av=off:ss=included_2986 on theBenchmark for (2986ds/537Mi)
% 13.59/2.37 % (2815972)First to succeed.
% 13.59/2.37 % (2815972)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2815919"
% 13.59/2.37 % (2815972)Refutation found. Thanks to Tanya!
% 13.59/2.37 % SZS status Unsatisfiable for theBenchmark
% 13.59/2.37 % SZS output start Proof for theBenchmark
% See solution above
% 14.26/2.56 % (2815972)------------------------------
% 14.26/2.56 % (2815972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.26/2.56 % (2815972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/2.56 % (2815972)CaDiCaL version: 2.1.3
% 14.26/2.56 % (2815972)Termination reason: Refutation
% 14.26/2.56 % (2815972)Time elapsed: 0.233 s
% 14.26/2.56 % (2815972)Peak memory usage: 91 MB
% 14.26/2.56 % (2815972)Instructions burned: 366 (million)
% 14.26/2.56 % (2815972)------------------------------
% 14.26/2.56 % (2815972)------------------------------
% 14.26/2.56 % (2815919)Success in time 1.967 s
% 14.26/2.56 % Vampire exiting
%------------------------------------------------------------------------------