%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD036-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:49:07 AM UTC 2026
% Result : Unsatisfiable 7.53s 1.65s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 17
% Syntax : Number of formulae : 91 ( 22 unt; 2 def)
% Number of atoms : 260 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 332 ( 163 ~; 169 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 97 ( 97 !; 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] :
( 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(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] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(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,negated_conjecture,
equalish(multiply(a,c),multiply(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_multiply_4) ).
fof(f32,negated_conjecture,
~ equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_b_5) ).
fof(f33,negated_conjecture,
~ equalish(c,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_not_equal_to_additive_identity_6) ).
fof(f34,definition,
sF0 = multiply(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f35,plain,
multiply(a,c) = sF0,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF1 = multiply(b,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f37,plain,
multiply(b,c) = sF1,
inference(reorient_equations,[],[f36]) ).
fof(f38,plain,
equalish(sF0,sF1),
inference(definition_folding,[],[f31,f37,f35]) ).
fof(f47,plain,
equalish(sF1,sF0),
inference(resolution,[],[f22,f38]) ).
fof(f56,plain,
( equalish(multiply(c,b),sF1)
| ~ defined(c)
| ~ defined(b) ),
inference(superposition,[],[f8,f37]) ).
fof(f57,plain,
( equalish(multiply(c,b),sF1)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f56,f30]) ).
fof(f61,plain,
equalish(multiply(c,b),sF1),
inference(forward_subsumption_resolution,[],[f57,f29]) ).
fof(f82,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(X0,multiply(X1,X2)))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,multiply(multiply(X0,X1),X2)) ),
inference(resolution,[],[f5,f23]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(multiply(X0,X1),X2),multiply(multiply(X2,X0),X1))
| ~ defined(multiply(X0,X1))
| ~ defined(X2) ),
inference(resolution,[],[f82,f8]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(multiply(X0,X1),X2),multiply(multiply(X2,X0),X1))
| ~ defined(multiply(X0,X1)) ),
inference(duplicate_literal_removal,[],[f98]) ).
fof(f106,plain,
! [X2,X0,X1] :
( equalish(multiply(multiply(X0,X1),X2),multiply(multiply(X2,X0),X1))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f102,f13]) ).
fof(f118,plain,
! [X0] :
( equalish(multiply(multiply(c,X0),b),multiply(sF1,X0))
| ~ defined(X0)
| ~ defined(b)
| ~ defined(c) ),
inference(superposition,[],[f106,f37]) ).
fof(f120,plain,
! [X0] :
( equalish(multiply(multiply(c,X0),b),multiply(sF1,X0))
| ~ defined(X0)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f118,f29]) ).
fof(f125,plain,
! [X0] :
( equalish(multiply(multiply(c,X0),b),multiply(sF1,X0))
| ~ defined(X0) ),
inference(forward_subsumption_resolution,[],[f120,f30]) ).
fof(f179,plain,
( ~ defined(c)
| defined(multiplicative_inverse(c)) ),
inference(resolution,[],[f15,f33]) ).
fof(f182,plain,
defined(multiplicative_inverse(c)),
inference(forward_subsumption_resolution,[],[f179,f30]) ).
fof(f230,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(multiplicative_identity,X0))
| ~ defined(X0)
| equalish(X1,X0) ),
inference(resolution,[],[f6,f23]) ).
fof(f240,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(multiply(X1,X0),X0)
| ~ defined(X0)
| ~ equalish(X1,multiplicative_identity) ),
inference(resolution,[],[f230,f25]) ).
fof(f245,plain,
! [X0,X1] :
( equalish(multiply(X1,X0),X0)
| ~ defined(X0)
| ~ equalish(X1,multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f240]) ).
fof(f250,plain,
! [X2,X0,X1] :
( ~ equalish(X2,multiply(X1,X0))
| ~ equalish(X1,multiplicative_identity)
| ~ defined(X0)
| equalish(X2,X0) ),
inference(resolution,[],[f245,f23]) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X2)
| equalish(multiply(multiply(X1,X2),X0),X2)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f250,f106]) ).
fof(f296,plain,
! [X2,X0,X1] :
( equalish(multiply(multiply(X1,X2),X0),X2)
| ~ defined(X2)
| ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X0)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f286]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(multiply(X2,X0),X1))
| ~ equalish(multiply(X1,X2),multiplicative_identity)
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X0)
| equalish(X3,X0) ),
inference(resolution,[],[f296,f23]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(multiply(X2,X0),X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
inference(resolution,[],[f318,f106]) ).
fof(f346,plain,
! [X2,X0,X1] :
( equalish(multiply(multiply(X2,X0),X1),X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(multiply(X0,X1),multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f339]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X3,multiply(multiply(X2,X0),X1))
| ~ defined(X1)
| ~ defined(X2)
| ~ equalish(multiply(X0,X1),multiplicative_identity)
| ~ defined(X0)
| equalish(X3,X2) ),
inference(resolution,[],[f346,f23]) ).
fof(f423,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(sF0,X1))
| ~ defined(X1)
| ~ defined(a)
| ~ equalish(multiply(c,X1),multiplicative_identity)
| ~ defined(c)
| equalish(X0,a) ),
inference(superposition,[],[f392,f35]) ).
fof(f424,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(sF1,X1))
| ~ defined(X1)
| ~ defined(b)
| ~ equalish(multiply(c,X1),multiplicative_identity)
| ~ defined(c)
| equalish(X0,b) ),
inference(superposition,[],[f392,f37]) ).
fof(f430,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(sF1,X1))
| ~ defined(X1)
| ~ equalish(multiply(c,X1),multiplicative_identity)
| ~ defined(c)
| equalish(X0,b) ),
inference(forward_subsumption_resolution,[],[f424,f29]) ).
fof(f431,plain,
! [X0,X1] :
( ~ equalish(X0,multiply(sF0,X1))
| ~ defined(X1)
| ~ equalish(multiply(c,X1),multiplicative_identity)
| ~ defined(c)
| equalish(X0,a) ),
inference(forward_subsumption_resolution,[],[f423,f28]) ).
fof(f433,plain,
! [X0,X1] :
( ~ equalish(multiply(c,X1),multiplicative_identity)
| ~ defined(X1)
| ~ equalish(X0,multiply(sF1,X1))
| equalish(X0,b) ),
inference(forward_subsumption_resolution,[],[f430,f30]) ).
fof(f434,plain,
! [X0,X1] :
( ~ equalish(multiply(c,X1),multiplicative_identity)
| ~ defined(X1)
| ~ equalish(X0,multiply(sF0,X1))
| equalish(X0,a) ),
inference(forward_subsumption_resolution,[],[f431,f30]) ).
fof(f581,plain,
! [X0] :
( ~ defined(multiplicative_inverse(c))
| ~ equalish(X0,multiply(sF0,multiplicative_inverse(c)))
| equalish(X0,a)
| ~ defined(c)
| equalish(c,additive_identity) ),
inference(resolution,[],[f434,f7]) ).
fof(f591,plain,
! [X0] :
( ~ equalish(X0,multiply(sF0,multiplicative_inverse(c)))
| equalish(X0,a)
| ~ defined(c)
| equalish(c,additive_identity) ),
inference(forward_subsumption_resolution,[],[f581,f15]) ).
fof(f602,plain,
! [X0] :
( ~ equalish(X0,multiply(sF0,multiplicative_inverse(c)))
| equalish(X0,a)
| equalish(c,additive_identity) ),
inference(forward_subsumption_resolution,[],[f591,f30]) ).
fof(f603,plain,
! [X0] :
( ~ equalish(X0,multiply(sF0,multiplicative_inverse(c)))
| equalish(X0,a) ),
inference(forward_subsumption_resolution,[],[f602,f33]) ).
fof(f607,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(c)),a)
| ~ defined(multiplicative_inverse(c))
| ~ equalish(X0,sF0) ),
inference(resolution,[],[f603,f25]) ).
fof(f647,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(c)),a)
| ~ equalish(X0,sF0) ),
inference(forward_subsumption_resolution,[],[f607,f182]) ).
fof(f654,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(X0,multiplicative_inverse(c)))
| ~ equalish(X0,sF0)
| equalish(X1,a) ),
inference(resolution,[],[f647,f23]) ).
fof(f664,plain,
( ~ equalish(sF1,sF0)
| equalish(multiply(multiply(c,multiplicative_inverse(c)),b),a)
| ~ defined(multiplicative_inverse(c)) ),
inference(resolution,[],[f654,f125]) ).
fof(f671,plain,
( equalish(multiply(multiply(c,multiplicative_inverse(c)),b),a)
| ~ defined(multiplicative_inverse(c)) ),
inference(forward_subsumption_resolution,[],[f664,f47]) ).
fof(f679,plain,
equalish(multiply(multiply(c,multiplicative_inverse(c)),b),a),
inference(forward_subsumption_resolution,[],[f671,f182]) ).
fof(f682,plain,
! [X0] :
( ~ equalish(X0,multiply(multiply(c,multiplicative_inverse(c)),b))
| equalish(X0,a) ),
inference(resolution,[],[f679,f23]) ).
fof(f688,plain,
( equalish(multiply(multiply(multiplicative_inverse(c),b),c),a)
| ~ defined(b)
| ~ defined(c)
| ~ defined(multiplicative_inverse(c)) ),
inference(resolution,[],[f682,f106]) ).
fof(f724,plain,
( equalish(multiply(multiply(multiplicative_inverse(c),b),c),a)
| ~ defined(c)
| ~ defined(multiplicative_inverse(c)) ),
inference(forward_subsumption_resolution,[],[f688,f29]) ).
fof(f729,plain,
( equalish(multiply(multiply(multiplicative_inverse(c),b),c),a)
| ~ defined(multiplicative_inverse(c)) ),
inference(forward_subsumption_resolution,[],[f724,f30]) ).
fof(f740,plain,
equalish(multiply(multiply(multiplicative_inverse(c),b),c),a),
inference(forward_subsumption_resolution,[],[f729,f182]) ).
fof(f792,plain,
! [X0] :
( ~ equalish(X0,multiply(multiply(multiplicative_inverse(c),b),c))
| equalish(X0,a) ),
inference(resolution,[],[f740,f23]) ).
fof(f795,plain,
! [X0] :
( equalish(multiply(X0,c),a)
| ~ defined(c)
| ~ equalish(X0,multiply(multiplicative_inverse(c),b)) ),
inference(resolution,[],[f792,f25]) ).
fof(f836,plain,
! [X0] :
( ~ equalish(X0,multiply(multiplicative_inverse(c),b))
| equalish(multiply(X0,c),a) ),
inference(forward_subsumption_resolution,[],[f795,f30]) ).
fof(f846,plain,
( equalish(multiply(multiply(b,multiplicative_inverse(c)),c),a)
| ~ defined(b)
| ~ defined(multiplicative_inverse(c)) ),
inference(resolution,[],[f836,f8]) ).
fof(f882,plain,
( equalish(multiply(multiply(b,multiplicative_inverse(c)),c),a)
| ~ defined(multiplicative_inverse(c)) ),
inference(forward_subsumption_resolution,[],[f846,f29]) ).
fof(f885,plain,
equalish(multiply(multiply(b,multiplicative_inverse(c)),c),a),
inference(forward_subsumption_resolution,[],[f882,f182]) ).
fof(f886,plain,
! [X0] :
( ~ equalish(X0,multiply(multiply(b,multiplicative_inverse(c)),c))
| equalish(X0,a) ),
inference(resolution,[],[f885,f23]) ).
fof(f892,plain,
( equalish(multiply(multiply(multiplicative_inverse(c),c),b),a)
| ~ defined(c)
| ~ defined(b)
| ~ defined(multiplicative_inverse(c)) ),
inference(resolution,[],[f886,f106]) ).
fof(f928,plain,
( equalish(multiply(multiply(multiplicative_inverse(c),c),b),a)
| ~ defined(b)
| ~ defined(multiplicative_inverse(c)) ),
inference(forward_subsumption_resolution,[],[f892,f30]) ).
fof(f933,plain,
( equalish(multiply(multiply(multiplicative_inverse(c),c),b),a)
| ~ defined(multiplicative_inverse(c)) ),
inference(forward_subsumption_resolution,[],[f928,f29]) ).
fof(f944,plain,
equalish(multiply(multiply(multiplicative_inverse(c),c),b),a),
inference(forward_subsumption_resolution,[],[f933,f182]) ).
fof(f946,plain,
! [X0] :
( ~ equalish(X0,multiply(multiply(multiplicative_inverse(c),c),b))
| equalish(X0,a) ),
inference(resolution,[],[f944,f23]) ).
fof(f952,plain,
( equalish(multiply(multiply(c,b),multiplicative_inverse(c)),a)
| ~ defined(b)
| ~ defined(multiplicative_inverse(c))
| ~ defined(c) ),
inference(resolution,[],[f946,f106]) ).
fof(f988,plain,
( equalish(multiply(multiply(c,b),multiplicative_inverse(c)),a)
| ~ defined(multiplicative_inverse(c))
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f952,f29]) ).
fof(f992,plain,
( equalish(multiply(multiply(c,b),multiplicative_inverse(c)),a)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[],[f988,f182]) ).
fof(f994,plain,
equalish(multiply(multiply(c,b),multiplicative_inverse(c)),a),
inference(forward_subsumption_resolution,[],[f992,f30]) ).
fof(f1037,plain,
equalish(a,multiply(multiply(c,b),multiplicative_inverse(c))),
inference(resolution,[],[f994,f22]) ).
fof(f1886,plain,
! [X0] :
( ~ defined(multiplicative_inverse(c))
| ~ equalish(X0,multiply(sF1,multiplicative_inverse(c)))
| equalish(X0,b)
| ~ defined(c)
| equalish(c,additive_identity) ),
inference(resolution,[],[f433,f7]) ).
fof(f1895,plain,
! [X0] :
( ~ equalish(X0,multiply(sF1,multiplicative_inverse(c)))
| equalish(X0,b)
| ~ defined(c)
| equalish(c,additive_identity) ),
inference(forward_subsumption_resolution,[],[f1886,f15]) ).
fof(f1898,plain,
! [X0] :
( ~ equalish(X0,multiply(sF1,multiplicative_inverse(c)))
| equalish(X0,b)
| equalish(c,additive_identity) ),
inference(forward_subsumption_resolution,[],[f1895,f30]) ).
fof(f1899,plain,
! [X0] :
( ~ equalish(X0,multiply(sF1,multiplicative_inverse(c)))
| equalish(X0,b) ),
inference(forward_subsumption_resolution,[],[f1898,f33]) ).
fof(f1903,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(c)),b)
| ~ defined(multiplicative_inverse(c))
| ~ equalish(X0,sF1) ),
inference(resolution,[],[f1899,f25]) ).
fof(f1914,plain,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(c)),b)
| ~ equalish(X0,sF1) ),
inference(forward_subsumption_resolution,[],[f1903,f182]) ).
fof(f1922,plain,
! [X0,X1] :
( ~ equalish(X1,multiply(X0,multiplicative_inverse(c)))
| ~ equalish(X0,sF1)
| equalish(X1,b) ),
inference(resolution,[],[f1914,f23]) ).
fof(f1944,plain,
( ~ equalish(multiply(c,b),sF1)
| equalish(a,b) ),
inference(resolution,[],[f1922,f1037]) ).
fof(f1947,plain,
equalish(a,b),
inference(forward_subsumption_resolution,[],[f1944,f61]) ).
fof(f1956,plain,
$false,
inference(forward_subsumption_resolution,[],[f1947,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD036-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n014.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 00:32:46 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running first-order theorem proving
% 0.07/0.24 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
% 7.11/1.60 % (2332163)Input is clausal, will run a generic CNF schedule.
% 7.11/1.60 % (2332174)dis-21_1_sil=8000:lcm=predicate:random_seed=2442119410: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)
% 7.11/1.60 % (2332171)lrs+10_1_sil=8000:sp=occurrence:random_seed=2309302298:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.11/1.60 % (2332170)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4103110306:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.11/1.60 % (2332169)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=825021845:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.11/1.60 % (2332173)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=544968557:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.11/1.60 % (2332168)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=3415838842:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.11/1.60 % (2332172)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1235813726:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.11/1.60 % (2332174)Instruction limit reached!
% 7.11/1.60 % (2332174)------------------------------
% 7.11/1.60 % (2332174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/1.60 % (2332174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.60 % (2332174)CaDiCaL version: 2.1.3
% 7.11/1.60 % (2332174)Termination reason: Instruction limit
% 7.11/1.60 % (2332174)Termination phase: Saturation
% 7.11/1.60 % (2332174)Time elapsed: 0.042 s
% 7.11/1.60 % (2332174)Peak memory usage: 90 MB
% 7.11/1.60 % (2332174)Instructions burned: 119 (million)
% 7.11/1.60 % (2332172)Instruction limit reached!
% 7.11/1.60 % (2332172)------------------------------
% 7.11/1.60 % (2332172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/1.60 % (2332171)Instruction limit reached!
% 7.11/1.60 % (2332171)------------------------------
% 7.11/1.60 % (2332171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/1.60 % (2332171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.60 % (2332172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.60 % (2332171)CaDiCaL version: 2.1.3
% 7.11/1.60 % (2332172)CaDiCaL version: 2.1.3
% 7.11/1.60 % (2332172)Termination reason: Instruction limit
% 7.11/1.60 % (2332172)Termination phase: Saturation
% 7.11/1.60 % (2332171)Termination reason: Instruction limit
% 7.11/1.60 % (2332171)Termination phase: Saturation
% 7.11/1.60 % (2332172)Time elapsed: 0.067 s
% 7.11/1.60 % (2332171)Time elapsed: 0.067 s
% 7.11/1.60 % (2332172)Peak memory usage: 88 MB
% 7.11/1.60 % (2332171)Peak memory usage: 89 MB
% 7.11/1.60 % (2332172)Instructions burned: 115 (million)
% 7.11/1.60 % (2332171)Instructions burned: 109 (million)
% 7.11/1.60 % (2332173)Instruction limit reached!
% 7.11/1.60 % (2332173)------------------------------
% 7.11/1.60 % (2332173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/1.60 % (2332173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.60 % (2332173)CaDiCaL version: 2.1.3
% 7.11/1.60 % (2332173)Termination reason: Instruction limit
% 7.11/1.60 % (2332173)Termination phase: Saturation
% 7.11/1.60 % (2332173)Time elapsed: 0.118 s
% 7.11/1.60 % (2332173)Peak memory usage: 89 MB
% 7.11/1.60 % (2332173)Instructions burned: 182 (million)
% 7.11/1.60 % (2332182)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=3538301782:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.11/1.60 % (2332182)Instruction limit reached!
% 7.11/1.60 % (2332182)------------------------------
% 7.11/1.60 % (2332182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.11/1.60 % (2332182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.60 % (2332182)CaDiCaL version: 2.1.3
% 7.11/1.60 % (2332182)Termination reason: Instruction limit
% 7.11/1.60 % (2332182)Termination phase: Saturation
% 7.11/1.60 % (2332182)Time elapsed: 0.046 s
% 7.11/1.60 % (2332182)Peak memory usage: 89 MB
% 7.11/1.60 % (2332182)Instructions burned: 144 (million)
% 7.11/1.60 % (2332184)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=943576630:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.53/1.65 % (2332183)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3238708181: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)
% 7.53/1.65 % (2332186)lrs+10_64_to=lpo:sil=8000:random_seed=3237432246:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.53/1.65 % (2332187)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3996997633:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 7.53/1.65 % (2332183)Instruction limit reached!
% 7.53/1.65 % (2332183)------------------------------
% 7.53/1.65 % (2332183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.65 % (2332183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.65 % (2332183)CaDiCaL version: 2.1.3
% 7.53/1.65 % (2332183)Termination reason: Instruction limit
% 7.53/1.65 % (2332183)Termination phase: Saturation
% 7.53/1.65 % (2332183)Time elapsed: 0.096 s
% 7.53/1.65 % (2332183)Peak memory usage: 94 MB
% 7.53/1.65 % (2332183)Instructions burned: 191 (million)
% 7.53/1.65 % (2332186)Instruction limit reached!
% 7.53/1.65 % (2332186)------------------------------
% 7.53/1.65 % (2332186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.65 % (2332186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.65 % (2332186)CaDiCaL version: 2.1.3
% 7.53/1.65 % (2332186)Termination reason: Instruction limit
% 7.53/1.65 % (2332186)Termination phase: Saturation
% 7.53/1.65 % (2332186)Time elapsed: 0.076 s
% 7.53/1.65 % (2332186)Peak memory usage: 89 MB
% 7.53/1.65 % (2332186)Instructions burned: 126 (million)
% 7.53/1.65 % (2332187)Instruction limit reached!
% 7.53/1.65 % (2332187)------------------------------
% 7.53/1.65 % (2332187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.65 % (2332187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.65 % (2332187)CaDiCaL version: 2.1.3
% 7.53/1.65 % (2332187)Termination reason: Instruction limit
% 7.53/1.65 % (2332187)Termination phase: Saturation
% 7.53/1.65 % (2332187)Time elapsed: 0.066 s
% 7.53/1.65 % (2332187)Peak memory usage: 89 MB
% 7.53/1.65 % (2332187)Instructions burned: 196 (million)
% 7.53/1.65 % (2332184)Instruction limit reached!
% 7.53/1.65 % (2332184)------------------------------
% 7.53/1.65 % (2332184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.65 % (2332184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.65 % (2332184)CaDiCaL version: 2.1.3
% 7.53/1.65 % (2332184)Termination reason: Instruction limit
% 7.53/1.65 % (2332184)Termination phase: Saturation
% 7.53/1.65 % (2332184)Time elapsed: 0.139 s
% 7.53/1.65 % (2332184)Peak memory usage: 90 MB
% 7.53/1.65 % (2332184)Instructions burned: 220 (million)
% 7.53/1.65 % (2332194)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=1361043944:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 7.53/1.65 % (2332192)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1981228782:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.53/1.65 % (2332193)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2662024232:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 7.53/1.65 % (2332194)Instruction limit reached!
% 7.53/1.65 % (2332194)------------------------------
% 7.53/1.65 % (2332194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.65 % (2332194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.65 % (2332194)CaDiCaL version: 2.1.3
% 7.53/1.65 % (2332194)Termination reason: Instruction limit
% 7.53/1.65 % (2332194)Termination phase: Saturation
% 7.53/1.65 % (2332194)Time elapsed: 0.029 s
% 7.53/1.65 % (2332194)Peak memory usage: 89 MB
% 7.53/1.65 % (2332194)Instructions burned: 110 (million)
% 7.53/1.65 % (2332195)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3211770966:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 7.53/1.65 % (2332195)Instruction limit reached!
% 7.53/1.65 % (2332195)------------------------------
% 7.53/1.65 % (2332195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.65 % (2332195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.65 % (2332195)CaDiCaL version: 2.1.3
% 7.53/1.65 % (2332195)Termination reason: Instruction limit
% 7.53/1.65 % (2332195)Termination phase: Saturation
% 7.53/1.65 % (2332195)Time elapsed: 0.061 s
% 7.53/1.65 % (2332195)Peak memory usage: 88 MB
% 7.53/1.65 % (2332195)Instructions burned: 107 (million)
% 7.53/1.65 % (2332192)Instruction limit reached!
% 7.53/1.65 % (2332192)------------------------------
% 7.53/1.65 % (2332192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.65 % (2332192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.65 % (2332192)CaDiCaL version: 2.1.3
% 7.53/1.65 % (2332192)Termination reason: Instruction limit
% 7.53/1.65 % (2332192)Termination phase: Saturation
% 7.53/1.65 % (2332192)Time elapsed: 0.114 s
% 7.53/1.65 % (2332192)Peak memory usage: 90 MB
% 7.53/1.65 % (2332192)Instructions burned: 157 (million)
% 7.53/1.65 % (2332199)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1771424497:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 7.53/1.65 % (2332199)Instruction limit reached!
% 7.53/1.65 % (2332199)------------------------------
% 7.53/1.65 % (2332199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.65 % (2332199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.65 % (2332199)CaDiCaL version: 2.1.3
% 7.53/1.65 % (2332199)Termination reason: Instruction limit
% 7.53/1.65 % (2332199)Termination phase: Saturation
% 7.53/1.65 % (2332199)Time elapsed: 0.089 s
% 7.53/1.65 % (2332199)Peak memory usage: 89 MB
% 7.53/1.65 % (2332199)Instructions burned: 245 (million)
% 7.53/1.65 % (2332201)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1561720847:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 7.53/1.65 % (2332203)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1189761568:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 7.53/1.65 % (2332204)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1209986:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 7.53/1.65 % (2332203)Instruction limit reached!
% 7.53/1.65 % (2332203)------------------------------
% 7.53/1.65 % (2332203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.65 % (2332203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.65 % (2332203)CaDiCaL version: 2.1.3
% 7.53/1.65 % (2332203)Termination reason: Instruction limit
% 7.53/1.65 % (2332203)Termination phase: Saturation
% 7.53/1.65 % (2332203)Time elapsed: 0.085 s
% 7.53/1.65 % (2332203)Peak memory usage: 89 MB
% 7.53/1.65 % (2332203)Instructions burned: 135 (million)
% 7.53/1.65 % (2332168)First to succeed.
% 7.53/1.65 % (2332168)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2332163"
% 7.53/1.65 % (2332204)Instruction limit reached!
% 7.53/1.65 % (2332204)------------------------------
% 7.53/1.65 % (2332204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.65 % (2332204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.65 % (2332204)CaDiCaL version: 2.1.3
% 7.53/1.65 % (2332204)Termination reason: Instruction limit
% 7.53/1.65 % (2332204)Termination phase: Saturation
% 7.53/1.65 % (2332204)Time elapsed: 0.134 s
% 7.53/1.65 % (2332204)Peak memory usage: 108 MB
% 7.53/1.65 % (2332204)Instructions burned: 502 (million)
% 7.53/1.65 % (2332208)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=232611475:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 7.53/1.65 % (2332209)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1146556508:i=264:kws=precedence:fsr=off_2990 on theBenchmark for (2990ds/264Mi)
% 7.53/1.65 % (2332208)Instruction limit reached!
% 7.53/1.65 % (2332208)------------------------------
% 7.53/1.65 % (2332208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.65 % (2332208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.65 % (2332208)CaDiCaL version: 2.1.3
% 7.53/1.65 % (2332208)Termination reason: Instruction limit
% 7.53/1.65 % (2332208)Termination phase: Saturation
% 7.53/1.65 % (2332208)Time elapsed: 0.125 s
% 7.53/1.65 % (2332208)Peak memory usage: 91 MB
% 7.53/1.65 % (2332208)Instructions burned: 191 (million)
% 7.53/1.65 % (2332209)Instruction limit reached!
% 7.53/1.65 % (2332209)------------------------------
% 7.53/1.65 % (2332209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.65 % (2332209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.65 % (2332209)CaDiCaL version: 2.1.3
% 7.53/1.65 % (2332209)Termination reason: Instruction limit
% 7.53/1.65 % (2332209)Termination phase: Saturation
% 7.53/1.65 % (2332209)Time elapsed: 0.090 s
% 7.53/1.65 % (2332209)Peak memory usage: 91 MB
% 7.53/1.65 % (2332209)Instructions burned: 267 (million)
% 7.53/1.65 % (2332168)Refutation found. Thanks to Tanya!
% 7.53/1.65 % SZS status Unsatisfiable for theBenchmark
% 7.53/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.80 % (2332168)------------------------------
% 0.20/1.80 % (2332168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.80 % (2332168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.80 % (2332168)CaDiCaL version: 2.1.3
% 0.20/1.80 % (2332168)Termination reason: Refutation
% 0.20/1.80 % (2332168)Time elapsed: 0.804 s
% 0.20/1.80 % (2332168)Peak memory usage: 129 MB
% 0.20/1.80 % (2332168)Instructions burned: 1197 (million)
% 0.20/1.80 % (2332168)------------------------------
% 0.20/1.80 % (2332168)------------------------------
% 0.20/1.80 % (2332163)Success in time 1.209 s
% 0.20/1.80 % Vampire exiting
%------------------------------------------------------------------------------