%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU451+2 : 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 : n013.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 12:49:12 PM UTC 2026
% Result : Theorem 3.36s 1.97s
% Output : Refutation 7.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 95 ( 23 unt; 8 def)
% Number of atoms : 205 ( 21 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 201 ( 91 ~; 88 |; 5 &)
% ( 7 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 8 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-5 aty)
% Number of variables : 84 ( 0 sgn 81 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f646,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(k1_relat_1(X1),X0)
=> k5_relat_1(k6_relat_1(X0),X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t77_relat_1) ).
fof(f648,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(k2_relat_1(X1),X0)
=> k5_relat_1(X1,k6_relat_1(X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t79_relat_1) ).
fof(f1120,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1133,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( r1_tarski(k1_relat_1(X2),X0)
& r1_tarski(k2_relat_1(X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f1150,axiom,
! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_relset_1) ).
fof(f1179,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(f1423,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f4468,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(f4537,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(f4538,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)],[f4537]) ).
fof(f4602,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,[],[f4538]) ).
fof(f4684,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,[],[f1179]) ).
fof(f4699,plain,
! [X0,X1,X2] :
( ( r1_tarski(k1_relat_1(X2),X0)
& r1_tarski(k2_relat_1(X2),X1) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f4746,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,[],[f4468]) ).
fof(f4747,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,[],[f4746]) ).
fof(f5015,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1120]) ).
fof(f5187,plain,
! [X0,X1] :
( k5_relat_1(X1,k6_relat_1(X0)) = X1
| ~ r1_tarski(k2_relat_1(X1),X0)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f648]) ).
fof(f5188,plain,
! [X0,X1] :
( k5_relat_1(X1,k6_relat_1(X0)) = X1
| ~ r1_tarski(k2_relat_1(X1),X0)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f5187]) ).
fof(f5269,plain,
! [X0,X1] :
( k5_relat_1(k6_relat_1(X0),X1) = X1
| ~ r1_tarski(k1_relat_1(X1),X0)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f646]) ).
fof(f5270,plain,
! [X0,X1] :
( k5_relat_1(k6_relat_1(X0),X1) = X1
| ~ r1_tarski(k1_relat_1(X1),X0)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f5269]) ).
fof(f5942,plain,
( k9_relset_2(sK17,sK17,sK18,k6_partfun1(sK17),sK19) != k9_relset_2(sK17,sK18,sK18,sK19,k6_partfun1(sK18))
& m2_relset_1(sK19,sK17,sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19]),skolemize(X0,sK17),skolemize(X1,sK18),skolemize(X2,sK19)],[f4602]) ).
fof(f6349,plain,
m2_relset_1(sK19,sK17,sK18),
inference(cnf_transformation,[],[f5942]) ).
fof(f6350,plain,
k9_relset_2(sK17,sK17,sK18,k6_partfun1(sK17),sK19) != k9_relset_2(sK17,sK18,sK18,sK19,k6_partfun1(sK18)),
inference(cnf_transformation,[],[f5942]) ).
fof(f6448,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,[],[f4684]) ).
fof(f6457,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| r1_tarski(k2_relat_1(X2),X1) ),
inference(cnf_transformation,[],[f4699]) ).
fof(f6458,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| r1_tarski(k1_relat_1(X2),X0) ),
inference(cnf_transformation,[],[f4699]) ).
fof(f6492,plain,
! [X0] : k6_relat_1(X0) = k6_partfun1(X0),
inference(cnf_transformation,[],[f1423]) ).
fof(f6506,plain,
! [X2,X3,X0,X1,X4] :
( k5_relat_1(X3,X4) = k9_relset_2(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))) ),
inference(cnf_transformation,[],[f4747]) ).
fof(f6979,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f5015]) ).
fof(f7242,plain,
! [X0,X1] :
( k5_relat_1(X1,k6_relat_1(X0)) = X1
| ~ r1_tarski(k2_relat_1(X1),X0)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f5188]) ).
fof(f7385,plain,
! [X0,X1] :
( k5_relat_1(k6_relat_1(X0),X1) = X1
| ~ r1_tarski(k1_relat_1(X1),X0)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f5270]) ).
fof(f8016,plain,
! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0),
inference(cnf_transformation,[],[f1150]) ).
fof(f8379,plain,
! [X0,X1] :
( k5_relat_1(X1,k6_partfun1(X0)) = X1
| ~ r1_tarski(k2_relat_1(X1),X0)
| ~ v1_relat_1(X1) ),
inference(definition_unfolding,[],[f7242,f6492]) ).
fof(f8457,plain,
! [X0,X1] :
( k5_relat_1(k6_partfun1(X0),X1) = X1
| ~ r1_tarski(k1_relat_1(X1),X0)
| ~ v1_relat_1(X1) ),
inference(definition_unfolding,[],[f7385,f6492]) ).
fof(f8501,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(definition_unfolding,[],[f8016,f6492]) ).
fof(f8549,definition,
~ sP259(k9_relset_2(sK17,sK17,sK18,k6_partfun1(sK17),sK19)),
introduced(definition,[new_symbols(definition,[sP259])],[inequality_splitting_name_introduction]) ).
fof(f8550,plain,
sP259(k9_relset_2(sK17,sK18,sK18,sK19,k6_partfun1(sK18))),
inference(inequality_splitting,[],[f6350,f8549]) ).
fof(f8808,plain,
r1_tarski(k2_relat_1(sK19),sK18),
inference(resolution,[],[f6349,f6457]) ).
fof(f8809,plain,
r1_tarski(k1_relat_1(sK19),sK17),
inference(resolution,[],[f6349,f6458]) ).
fof(f8825,plain,
( ~ sP259(k5_relat_1(k6_partfun1(sK17),sK19))
| ~ m1_subset_1(k6_partfun1(sK17),k1_zfmisc_1(k2_zfmisc_1(sK17,sK17)))
| ~ m1_subset_1(sK19,k1_zfmisc_1(k2_zfmisc_1(sK17,sK18))) ),
inference(superposition,[],[f8549,f6506]) ).
fof(f8827,definition,
( spl260_4
<=> m1_subset_1(sK19,k1_zfmisc_1(k2_zfmisc_1(sK17,sK18))) ),
introduced(definition,[new_symbols(definition,[spl260_4])],[avatar_definition]) ).
fof(f8828,plain,
( m1_subset_1(sK19,k1_zfmisc_1(k2_zfmisc_1(sK17,sK18)))
| ~ spl260_4 ),
inference(avatar_component_clause,[],[f8827]) ).
fof(f8829,plain,
( ~ m1_subset_1(sK19,k1_zfmisc_1(k2_zfmisc_1(sK17,sK18)))
| spl260_4 ),
inference(avatar_component_clause,[],[f8827]) ).
fof(f8831,definition,
( spl260_5
<=> m1_subset_1(k6_partfun1(sK17),k1_zfmisc_1(k2_zfmisc_1(sK17,sK17))) ),
introduced(definition,[new_symbols(definition,[spl260_5])],[avatar_definition]) ).
fof(f8833,plain,
( ~ m1_subset_1(k6_partfun1(sK17),k1_zfmisc_1(k2_zfmisc_1(sK17,sK17)))
| spl260_5 ),
inference(avatar_component_clause,[],[f8831]) ).
fof(f8835,definition,
( spl260_6
<=> sP259(k5_relat_1(k6_partfun1(sK17),sK19)) ),
introduced(definition,[new_symbols(definition,[spl260_6])],[avatar_definition]) ).
fof(f8837,plain,
( ~ sP259(k5_relat_1(k6_partfun1(sK17),sK19))
| spl260_6 ),
inference(avatar_component_clause,[],[f8835]) ).
fof(f8838,plain,
( ~ spl260_4
| ~ spl260_5
| ~ spl260_6 ),
inference(avatar_split_clause,[],[f8825,f8835,f8831,f8827]) ).
fof(f8841,plain,
( sP259(k5_relat_1(sK19,k6_partfun1(sK18)))
| ~ m1_subset_1(sK19,k1_zfmisc_1(k2_zfmisc_1(sK17,sK18)))
| ~ m1_subset_1(k6_partfun1(sK18),k1_zfmisc_1(k2_zfmisc_1(sK18,sK18))) ),
inference(superposition,[],[f8550,f6506]) ).
fof(f8896,plain,
( ~ sP259(sK19)
| ~ r1_tarski(k1_relat_1(sK19),sK17)
| ~ v1_relat_1(sK19)
| spl260_6 ),
inference(superposition,[],[f8837,f8457]) ).
fof(f8903,definition,
( spl260_16
<=> sP259(sK19) ),
introduced(definition,[new_symbols(definition,[spl260_16])],[avatar_definition]) ).
fof(f8905,plain,
( ~ sP259(sK19)
| spl260_16 ),
inference(avatar_component_clause,[],[f8903]) ).
fof(f8912,plain,
( ~ sP259(sK19)
| ~ v1_relat_1(sK19)
| spl260_6 ),
inference(forward_subsumption_resolution,[],[f8896,f8809]) ).
fof(f8914,definition,
( spl260_18
<=> v1_relat_1(sK19) ),
introduced(definition,[new_symbols(definition,[spl260_18])],[avatar_definition]) ).
fof(f8915,plain,
( v1_relat_1(sK19)
| ~ spl260_18 ),
inference(avatar_component_clause,[],[f8914]) ).
fof(f8916,plain,
( ~ v1_relat_1(sK19)
| spl260_18 ),
inference(avatar_component_clause,[],[f8914]) ).
fof(f8917,plain,
( ~ spl260_18
| ~ spl260_16
| spl260_6 ),
inference(avatar_split_clause,[],[f8912,f8835,f8903,f8914]) ).
fof(f8918,plain,
( ~ m2_relset_1(sK19,sK17,sK18)
| spl260_4 ),
inference(resolution,[],[f8829,f6448]) ).
fof(f8923,plain,
( $false
| spl260_4 ),
inference(forward_subsumption_resolution,[],[f8918,f6349]) ).
fof(f8924,plain,
spl260_4,
inference(avatar_contradiction_clause,[],[f8923]) ).
fof(f8925,plain,
( sP259(k5_relat_1(sK19,k6_partfun1(sK18)))
| ~ m1_subset_1(k6_partfun1(sK18),k1_zfmisc_1(k2_zfmisc_1(sK18,sK18)))
| ~ spl260_4 ),
inference(forward_subsumption_resolution,[],[f8841,f8828]) ).
fof(f8927,definition,
( spl260_19
<=> m1_subset_1(k6_partfun1(sK18),k1_zfmisc_1(k2_zfmisc_1(sK18,sK18))) ),
introduced(definition,[new_symbols(definition,[spl260_19])],[avatar_definition]) ).
fof(f8929,plain,
( ~ m1_subset_1(k6_partfun1(sK18),k1_zfmisc_1(k2_zfmisc_1(sK18,sK18)))
| spl260_19 ),
inference(avatar_component_clause,[],[f8927]) ).
fof(f8931,definition,
( spl260_20
<=> sP259(k5_relat_1(sK19,k6_partfun1(sK18))) ),
introduced(definition,[new_symbols(definition,[spl260_20])],[avatar_definition]) ).
fof(f8933,plain,
( sP259(k5_relat_1(sK19,k6_partfun1(sK18)))
| ~ spl260_20 ),
inference(avatar_component_clause,[],[f8931]) ).
fof(f8934,plain,
( ~ spl260_19
| spl260_20
| ~ spl260_4 ),
inference(avatar_split_clause,[],[f8925,f8827,f8931,f8927]) ).
fof(f8940,plain,
( v1_relat_1(sK19)
| ~ spl260_4 ),
inference(resolution,[],[f8828,f6979]) ).
fof(f8973,plain,
( $false
| ~ spl260_4
| spl260_18 ),
inference(forward_subsumption_resolution,[],[f8940,f8916]) ).
fof(f8974,plain,
( ~ spl260_4
| spl260_18 ),
inference(avatar_contradiction_clause,[],[f8973]) ).
fof(f8995,plain,
( ~ m2_relset_1(k6_partfun1(sK17),sK17,sK17)
| spl260_5 ),
inference(resolution,[],[f8833,f6448]) ).
fof(f9003,plain,
( $false
| spl260_5 ),
inference(forward_subsumption_resolution,[],[f8995,f8501]) ).
fof(f9004,plain,
spl260_5,
inference(avatar_contradiction_clause,[],[f9003]) ).
fof(f9048,plain,
( ~ m2_relset_1(k6_partfun1(sK18),sK18,sK18)
| spl260_19 ),
inference(resolution,[],[f8929,f6448]) ).
fof(f9056,plain,
( $false
| spl260_19 ),
inference(forward_subsumption_resolution,[],[f9048,f8501]) ).
fof(f9057,plain,
spl260_19,
inference(avatar_contradiction_clause,[],[f9056]) ).
fof(f9061,plain,
( sP259(sK19)
| ~ r1_tarski(k2_relat_1(sK19),sK18)
| ~ v1_relat_1(sK19)
| ~ spl260_20 ),
inference(superposition,[],[f8933,f8379]) ).
fof(f9062,plain,
( ~ r1_tarski(k2_relat_1(sK19),sK18)
| ~ v1_relat_1(sK19)
| spl260_16
| ~ spl260_20 ),
inference(forward_subsumption_resolution,[],[f9061,f8905]) ).
fof(f9065,plain,
( ~ v1_relat_1(sK19)
| spl260_16
| ~ spl260_20 ),
inference(forward_subsumption_resolution,[],[f9062,f8808]) ).
fof(f9066,plain,
( $false
| spl260_16
| ~ spl260_18
| ~ spl260_20 ),
inference(forward_subsumption_resolution,[],[f9065,f8915]) ).
fof(f9067,plain,
( spl260_16
| ~ spl260_18
| ~ spl260_20 ),
inference(avatar_contradiction_clause,[],[f9066]) ).
cnf(s2,plain,
( ~ spl260_4
| ~ spl260_5
| ~ spl260_6 ),
inference(sat_conversion,[],[f8838]) ).
cnf(s9,plain,
( spl260_6
| ~ spl260_16
| ~ spl260_18 ),
inference(sat_conversion,[],[f8917]) ).
cnf(s10,plain,
spl260_4,
inference(sat_conversion,[],[f8924]) ).
cnf(s11,plain,
( ~ spl260_4
| ~ spl260_19
| spl260_20 ),
inference(sat_conversion,[],[f8934]) ).
cnf(s14,plain,
( ~ spl260_4
| spl260_18 ),
inference(sat_conversion,[],[f8974]) ).
cnf(s21,plain,
spl260_5,
inference(sat_conversion,[],[f9004]) ).
cnf(s26,plain,
spl260_19,
inference(sat_conversion,[],[f9057]) ).
cnf(s27,plain,
( spl260_16
| ~ spl260_18
| ~ spl260_20 ),
inference(sat_conversion,[],[f9067]) ).
cnf(s28,plain,
( ~ spl260_4
| spl260_20 ),
inference(rat,[],[s11,s26]) ).
cnf(s29,plain,
spl260_18,
inference(rat,[],[s14,s10]) ).
cnf(s30,plain,
spl260_20,
inference(rat,[],[s28,s10]) ).
cnf(s31,plain,
spl260_16,
inference(rat,[],[s27,s30,s29]) ).
cnf(s32,plain,
spl260_6,
inference(rat,[],[s9,s29,s31]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s2,s32,s21,s10]) ).
fof(f9068,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU451+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 05:36:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 3.36/1.97 % (879414)Detected formulas, will run a generic FOF schedule.
% 3.36/1.97 % (879423)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3160101247:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 3.36/1.97 % (879422)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4211852204:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 3.36/1.97 % (879419)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=2595410746:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 3.36/1.97 % (879424)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3043462025:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 3.36/1.97 % (879420)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=1954371169:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 3.36/1.97 % (879421)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=3155251171:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 3.36/1.97 % (879425)dis-21_1_sil=8000:lcm=predicate:random_seed=719002519:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 3.36/1.97 % (879423)Instruction limit reached!
% 3.36/1.97 % (879423)------------------------------
% 3.36/1.97 % (879423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.97 % (879423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.97 % (879423)CaDiCaL version: 2.1.3
% 3.36/1.97 % (879423)Termination reason: Instruction limit
% 3.36/1.97 % (879423)Termination phase: Saturation
% 3.36/1.97 % (879423)Time elapsed: 0.046 s
% 3.36/1.97 % (879423)Peak memory usage: 94 MB
% 3.36/1.97 % (879423)Instructions burned: 121 (million)
% 3.36/1.97 % (879422)Instruction limit reached!
% 3.36/1.97 % (879422)------------------------------
% 3.36/1.97 % (879422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.97 % (879422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.97 % (879422)CaDiCaL version: 2.1.3
% 3.36/1.97 % (879422)Termination reason: Instruction limit
% 3.36/1.97 % (879422)Termination phase: Saturation
% 3.36/1.97 % (879422)Time elapsed: 0.061 s
% 3.36/1.97 % (879422)Peak memory usage: 93 MB
% 3.36/1.97 % (879422)Instructions burned: 111 (million)
% 3.36/1.97 % (879424)Instruction limit reached!
% 3.36/1.97 % (879424)------------------------------
% 3.36/1.97 % (879424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.97 % (879424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.97 % (879424)CaDiCaL version: 2.1.3
% 3.36/1.97 % (879424)Termination reason: Instruction limit
% 3.36/1.97 % (879424)Termination phase: Preprocessing 3
% 3.36/1.97 % (879424)Time elapsed: 0.088 s
% 3.36/1.97 % (879424)Peak memory usage: 94 MB
% 3.36/1.97 % (879424)Instructions burned: 140 (million)
% 3.36/1.97 % (879425)Instruction limit reached!
% 3.36/1.97 % (879425)------------------------------
% 3.36/1.97 % (879425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.97 % (879425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.97 % (879425)CaDiCaL version: 2.1.3
% 3.36/1.97 % (879425)Termination reason: Instruction limit
% 3.36/1.97 % (879425)Termination phase: Preprocessing 3
% 3.36/1.97 % (879425)Time elapsed: 0.092 s
% 3.36/1.97 % (879425)Peak memory usage: 95 MB
% 3.36/1.97 % (879425)Instructions burned: 130 (million)
% 3.36/1.97 % (879433)lrs+10_1_sil=8000:sp=occurrence:random_seed=3685338651:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 3.36/1.97 % (879434)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2524768652:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.36/1.97 % (879435)lrs+1011_1_sil=32000:sp=occurrence:random_seed=229427444:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 3.36/1.97 % (879436)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2030340595:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.36/1.97 % (879433)Instruction limit reached!
% 3.36/1.97 % (879433)------------------------------
% 3.36/1.97 % (879433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.97 % (879433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.97 % (879433)CaDiCaL version: 2.1.3
% 3.36/1.97 % (879433)Termination reason: Instruction limit
% 3.36/1.97 % (879433)Termination phase: Saturation
% 3.36/1.97 % (879433)Time elapsed: 0.137 s
% 3.36/1.97 % (879433)Peak memory usage: 98 MB
% 3.36/1.97 % (879433)Instructions burned: 286 (million)
% 3.36/1.97 % (879434)Instruction limit reached!
% 3.36/1.97 % (879434)------------------------------
% 3.36/1.97 % (879434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.97 % (879434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.97 % (879434)CaDiCaL version: 2.1.3
% 3.36/1.97 % (879434)Termination reason: Instruction limit
% 3.36/1.97 % (879434)Termination phase: Saturation
% 3.36/1.97 % (879434)Time elapsed: 0.087 s
% 3.36/1.97 % (879434)Peak memory usage: 94 MB
% 3.36/1.97 % (879434)Instructions burned: 157 (million)
% 3.36/1.97 % (879436)Instruction limit reached!
% 3.36/1.97 % (879436)------------------------------
% 3.36/1.97 % (879436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.97 % (879436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.97 % (879436)CaDiCaL version: 2.1.3
% 3.36/1.97 % (879436)Termination reason: Instruction limit
% 3.36/1.97 % (879436)Termination phase: Property scanning
% 3.36/1.97 % (879436)Time elapsed: 0.149 s
% 3.36/1.97 % (879436)Peak memory usage: 98 MB
% 3.36/1.97 % (879436)Instructions burned: 248 (million)
% 3.36/1.97 % (879441)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2473684964:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 3.36/1.97 % (879435)Instruction limit reached!
% 3.36/1.97 % (879435)------------------------------
% 3.36/1.97 % (879435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.97 % (879435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.97 % (879435)CaDiCaL version: 2.1.3
% 3.36/1.97 % (879435)Termination reason: Instruction limit
% 3.36/1.97 % (879435)Termination phase: Saturation
% 3.36/1.97 % (879435)Time elapsed: 0.218 s
% 3.36/1.97 % (879435)Peak memory usage: 97 MB
% 3.36/1.97 % (879435)Instructions burned: 326 (million)
% 3.36/1.97 % (879442)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1260967407:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 3.36/1.97 % (879441)First to succeed.
% 3.36/1.97 % (879441)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-879414"
% 3.36/1.97 % (879443)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2093259049:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 3.36/1.97 % (879445)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1781697340:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 3.36/1.97 % (879443)Instruction limit reached!
% 3.36/1.97 % (879443)------------------------------
% 3.36/1.97 % (879443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.97 % (879443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.97 % (879443)CaDiCaL version: 2.1.3
% 3.36/1.97 % (879443)Termination reason: Instruction limit
% 3.36/1.97 % (879443)Termination phase: Saturation
% 3.36/1.97 % (879443)Time elapsed: 0.071 s
% 3.36/1.97 % (879443)Peak memory usage: 95 MB
% 3.36/1.97 % (879443)Instructions burned: 114 (million)
% 3.36/1.97 % (879445)Instruction limit reached!
% 3.36/1.97 % (879445)------------------------------
% 3.36/1.97 % (879445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.97 % (879445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.97 % (879445)CaDiCaL version: 2.1.3
% 3.36/1.97 % (879445)Termination reason: Instruction limit
% 3.36/1.97 % (879445)Termination phase: Preprocessing 3
% 3.36/1.97 % (879445)Time elapsed: 0.084 s
% 3.36/1.97 % (879445)Peak memory usage: 96 MB
% 3.36/1.97 % (879445)Instructions burned: 127 (million)
% 3.36/1.97 % (879441)Refutation found. Thanks to Tanya!
% 3.36/1.97 % SZS status Theorem for theBenchmark
% 3.36/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 7.52/2.16 % (879441)------------------------------
% 7.52/2.16 % (879441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.52/2.16 % (879441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.52/2.16 % (879441)CaDiCaL version: 2.1.3
% 7.52/2.16 % (879441)Termination reason: Refutation
% 7.52/2.16 % (879441)Time elapsed: 0.096 s
% 7.52/2.16 % (879441)Peak memory usage: 97 MB
% 7.52/2.16 % (879441)Instructions burned: 152 (million)
% 7.52/2.16 % (879441)------------------------------
% 7.52/2.16 % (879441)------------------------------
% 7.52/2.16 % (879414)Success in time 1.125 s
% 7.52/2.16 % Vampire exiting
%------------------------------------------------------------------------------