%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU451+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:49:11 PM UTC 2026
% Result : Theorem 2.32s 1.30s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 77 ( 15 unt; 5 def)
% Number of atoms : 167 ( 39 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 164 ( 74 ~; 70 |; 8 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-6 aty)
% Number of variables : 109 ( 0 sgn 106 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) = k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) = k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1)) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f11,axiom,
! [X0] :
( v1_partfun1(k6_partfun1(X0),X0,X0)
& m2_relset_1(k6_partfun1(X0),X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_partfun1) ).
fof(f17,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f37,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_relset_1(X4,X0,X1)
& m1_relset_1(X5,X2,X3) )
=> k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
fof(f38,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(f39,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f42,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2
& k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_2) ).
fof(f59,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(pure_predicate_removal,[],[f11]) ).
fof(f63,plain,
? [X0,X1,X2] :
( k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) != k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1))
& m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f75,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f83,plain,
! [X0,X1,X2,X3,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X4,X0,X1)
| ~ m1_relset_1(X5,X2,X3) ),
inference(ennf_transformation,[],[f37]) ).
fof(f84,plain,
! [X0,X1,X2,X3,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X4,X0,X1)
| ~ m1_relset_1(X5,X2,X3) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f38]) ).
fof(f86,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(flattening,[],[f85]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2
& k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2 )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f98,plain,
( k9_relset_2(sK0,sK0,sK1,k6_partfun1(sK0),sK2) != k9_relset_2(sK0,sK1,sK1,sK2,k6_partfun1(sK1))
& m2_relset_1(sK2,sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f63]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f110,plain,
m2_relset_1(sK2,sK0,sK1),
inference(cnf_transformation,[],[f98]) ).
fof(f111,plain,
k9_relset_2(sK0,sK0,sK1,k6_partfun1(sK0),sK2) != k9_relset_2(sK0,sK1,sK1,sK2,k6_partfun1(sK1)),
inference(cnf_transformation,[],[f98]) ).
fof(f117,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f59]) ).
fof(f121,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f155,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X4,X0,X1)
| k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X5,X2,X3) ),
inference(cnf_transformation,[],[f84]) ).
fof(f156,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f157,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f161,plain,
! [X2,X0,X1] :
( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f162,plain,
! [X2,X0,X1] :
( k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f179,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X5,X2,X3)
| k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m2_relset_1(X4,X0,X1) ),
inference(resolution,[],[f155,f157]) ).
fof(f183,plain,
! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X3,X0,X1) ),
inference(resolution,[],[f156,f121]) ).
fof(f239,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m2_relset_1(X4,X0,X1)
| k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m2_relset_1(X5,X2,X3) ),
inference(resolution,[],[f179,f157]) ).
fof(f251,plain,
( k9_relset_2(sK0,sK0,sK1,k6_partfun1(sK0),sK2) != k5_relat_1(sK2,k6_partfun1(sK1))
| ~ m1_subset_1(k6_partfun1(sK1),k1_zfmisc_1(k2_zfmisc_1(sK1,sK1)))
| ~ m2_relset_1(sK2,sK0,sK1) ),
inference(superposition,[],[f111,f183]) ).
fof(f255,plain,
( k9_relset_2(sK0,sK0,sK1,k6_partfun1(sK0),sK2) != k5_relat_1(sK2,k6_partfun1(sK1))
| ~ m1_subset_1(k6_partfun1(sK1),k1_zfmisc_1(k2_zfmisc_1(sK1,sK1))) ),
inference(forward_subsumption_resolution,[],[f251,f110]) ).
fof(f257,definition,
( spl13_1
<=> m1_subset_1(k6_partfun1(sK1),k1_zfmisc_1(k2_zfmisc_1(sK1,sK1))) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f259,plain,
( ~ m1_subset_1(k6_partfun1(sK1),k1_zfmisc_1(k2_zfmisc_1(sK1,sK1)))
| spl13_1 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f261,definition,
( spl13_2
<=> k9_relset_2(sK0,sK0,sK1,k6_partfun1(sK0),sK2) = k5_relat_1(sK2,k6_partfun1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f263,plain,
( k9_relset_2(sK0,sK0,sK1,k6_partfun1(sK0),sK2) != k5_relat_1(sK2,k6_partfun1(sK1))
| spl13_2 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f264,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f255,f261,f257]) ).
fof(f265,plain,
( ~ m2_relset_1(k6_partfun1(sK1),sK1,sK1)
| spl13_1 ),
inference(resolution,[],[f259,f121]) ).
fof(f267,plain,
( $false
| spl13_1 ),
inference(forward_subsumption_resolution,[],[f265,f117]) ).
fof(f268,plain,
spl13_1,
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f270,plain,
( k5_relat_1(sK2,k6_partfun1(sK1)) != k5_relat_1(k6_partfun1(sK0),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m2_relset_1(k6_partfun1(sK0),sK0,sK0)
| spl13_2 ),
inference(superposition,[],[f263,f183]) ).
fof(f271,plain,
( k5_relat_1(sK2,k6_partfun1(sK1)) != k5_relat_1(k6_partfun1(sK0),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| spl13_2 ),
inference(forward_subsumption_resolution,[],[f270,f117]) ).
fof(f273,definition,
( spl13_3
<=> m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f275,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| spl13_3 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f277,definition,
( spl13_4
<=> k5_relat_1(sK2,k6_partfun1(sK1)) = k5_relat_1(k6_partfun1(sK0),sK2) ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
fof(f279,plain,
( k5_relat_1(sK2,k6_partfun1(sK1)) != k5_relat_1(k6_partfun1(sK0),sK2)
| spl13_4 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f280,plain,
( ~ spl13_3
| ~ spl13_4
| spl13_2 ),
inference(avatar_split_clause,[],[f271,f261,f277,f273]) ).
fof(f288,plain,
( ~ m2_relset_1(sK2,sK0,sK1)
| spl13_3 ),
inference(resolution,[],[f275,f121]) ).
fof(f290,plain,
( $false
| spl13_3 ),
inference(forward_subsumption_resolution,[],[f288,f110]) ).
fof(f291,plain,
spl13_3,
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f458,plain,
! [X2,X0,X1] :
( k7_relset_1(sK0,sK1,X0,X1,sK2,X2) = k5_relat_1(sK2,X2)
| ~ m2_relset_1(X2,X0,X1) ),
inference(resolution,[],[f239,f110]) ).
fof(f462,plain,
( sK2 = k5_relat_1(sK2,k6_partfun1(sK1))
| ~ m2_relset_1(sK2,sK0,sK1)
| ~ m2_relset_1(k6_partfun1(sK1),sK1,sK1) ),
inference(superposition,[],[f161,f458]) ).
fof(f467,plain,
( sK2 = k5_relat_1(sK2,k6_partfun1(sK1))
| ~ m2_relset_1(k6_partfun1(sK1),sK1,sK1) ),
inference(forward_subsumption_resolution,[],[f462,f110]) ).
fof(f471,definition,
( spl13_7
<=> m1_relset_1(sK2,sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
fof(f472,plain,
( m1_relset_1(sK2,sK0,sK1)
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f473,plain,
( ~ m1_relset_1(sK2,sK0,sK1)
| spl13_7 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f479,plain,
sK2 = k5_relat_1(sK2,k6_partfun1(sK1)),
inference(forward_subsumption_resolution,[],[f467,f117]) ).
fof(f497,plain,
( ~ m2_relset_1(sK2,sK0,sK1)
| spl13_7 ),
inference(resolution,[],[f473,f157]) ).
fof(f498,plain,
( $false
| spl13_7 ),
inference(forward_subsumption_resolution,[],[f497,f110]) ).
fof(f499,plain,
spl13_7,
inference(avatar_contradiction_clause,[],[f498]) ).
fof(f518,plain,
( ! [X2,X0,X1] :
( k7_relset_1(X0,X1,sK0,sK1,X2,sK2) = k5_relat_1(X2,sK2)
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl13_7 ),
inference(resolution,[],[f472,f179]) ).
fof(f664,plain,
( sK2 = k5_relat_1(k6_partfun1(sK0),sK2)
| ~ m2_relset_1(sK2,sK0,sK1)
| ~ m2_relset_1(k6_partfun1(sK0),sK0,sK0)
| ~ spl13_7 ),
inference(superposition,[],[f162,f518]) ).
fof(f675,plain,
( sK2 = k5_relat_1(k6_partfun1(sK0),sK2)
| ~ m2_relset_1(k6_partfun1(sK0),sK0,sK0)
| ~ spl13_7 ),
inference(forward_subsumption_resolution,[],[f664,f110]) ).
fof(f677,plain,
( sK2 = k5_relat_1(k6_partfun1(sK0),sK2)
| ~ spl13_7 ),
inference(forward_subsumption_resolution,[],[f675,f117]) ).
fof(f679,plain,
( sK2 != k5_relat_1(sK2,k6_partfun1(sK1))
| spl13_4
| ~ spl13_7 ),
inference(superposition,[],[f279,f677]) ).
fof(f687,plain,
( $false
| spl13_4
| ~ spl13_7 ),
inference(forward_subsumption_resolution,[],[f679,f479]) ).
fof(f688,plain,
( spl13_4
| ~ spl13_7 ),
inference(avatar_contradiction_clause,[],[f687]) ).
cnf(s1,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(sat_conversion,[],[f264]) ).
cnf(s2,plain,
spl13_1,
inference(sat_conversion,[],[f268]) ).
cnf(s3,plain,
( spl13_2
| ~ spl13_3
| ~ spl13_4 ),
inference(sat_conversion,[],[f280]) ).
cnf(s4,plain,
spl13_3,
inference(sat_conversion,[],[f291]) ).
cnf(s8,plain,
spl13_7,
inference(sat_conversion,[],[f499]) ).
cnf(s11,plain,
( spl13_4
| ~ spl13_7 ),
inference(sat_conversion,[],[f688]) ).
cnf(s13,plain,
spl13_4,
inference(rat,[],[s11,s8]) ).
cnf(s17,plain,
spl13_2,
inference(rat,[],[s3,s13,s4]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s1,s17,s2]) ).
fof(f694,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU451+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 05:39:56 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.32/1.30 % (3538331)Detected formulas, will run a generic FOF schedule.
% 2.32/1.30 % (3538340)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1951043531:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.32/1.30 % (3538340)Refutation not found, incomplete strategy
% 2.32/1.30 % (3538340)------------------------------
% 2.32/1.30 % (3538340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.30 % (3538340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.30 % (3538340)CaDiCaL version: 2.1.3
% 2.32/1.30 % (3538340)Termination reason: Refutation not found, incomplete strategy
% 2.32/1.30 % (3538340)Time elapsed: 0.002 s
% 2.32/1.30 % (3538340)Peak memory usage: 88 MB
% 2.32/1.30 % (3538340)Instructions burned: 4 (million)
% 2.32/1.30 % (3538338)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1699063537:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.32/1.30 % (3538339)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3620443267:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.32/1.30 % (3538339)Refutation not found, incomplete strategy
% 2.32/1.30 % (3538339)------------------------------
% 2.32/1.30 % (3538339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.30 % (3538339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.30 % (3538339)CaDiCaL version: 2.1.3
% 2.32/1.30 % (3538339)Termination reason: Refutation not found, incomplete strategy
% 2.32/1.30 % (3538339)Time elapsed: 0.001 s
% 2.32/1.30 % (3538339)Peak memory usage: 87 MB
% 2.32/1.30 % (3538336)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=1660661057:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.32/1.30 % (3538337)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1053696458:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.32/1.30 % (3538341)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1932967348:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.32/1.30 % (3538342)dis-21_1_sil=8000:lcm=predicate:random_seed=3711305128:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.32/1.30 % (3538341)First to succeed.
% 2.32/1.30 % (3538341)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3538331"
% 2.32/1.30 % (3538342)Instruction limit reached!
% 2.32/1.30 % (3538342)------------------------------
% 2.32/1.30 % (3538342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.30 % (3538342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.30 % (3538342)CaDiCaL version: 2.1.3
% 2.32/1.30 % (3538342)Termination reason: Instruction limit
% 2.32/1.30 % (3538342)Termination phase: Saturation
% 2.32/1.30 % (3538342)Time elapsed: 0.086 s
% 2.32/1.30 % (3538342)Peak memory usage: 90 MB
% 2.32/1.30 % (3538342)Instructions burned: 129 (million)
% 2.32/1.30 % (3538340)------------------------------
% 2.32/1.30 % (3538340)------------------------------
% 2.32/1.30 % (3538351)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3642878710:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.32/1.30 % (3538351)Also succeeded, but the first one will report.
% 2.32/1.30 % (3538339)------------------------------
% 2.32/1.30 % (3538339)------------------------------
% 2.32/1.30 % (3538350)lrs+10_1_sil=8000:sp=occurrence:random_seed=3160773739:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.32/1.30 % (3538350)Also succeeded, but the first one will report.
% 2.32/1.30 % (3538341)Refutation found. Thanks to Tanya!
% 2.32/1.30 % SZS status Theorem for theBenchmark
% 2.32/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.49 % (3538341)------------------------------
% 3.69/1.49 % (3538341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.49 % (3538341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.49 % (3538341)CaDiCaL version: 2.1.3
% 3.69/1.49 % (3538341)Termination reason: Refutation
% 3.69/1.49 % (3538341)Time elapsed: 0.024 s
% 3.69/1.49 % (3538341)Peak memory usage: 89 MB
% 3.69/1.49 % (3538341)Instructions burned: 29 (million)
% 3.69/1.49 % (3538341)------------------------------
% 3.69/1.49 % (3538341)------------------------------
% 3.69/1.49 % (3538331)Success in time 0.434 s
% 3.69/1.49 % Vampire exiting
%------------------------------------------------------------------------------