%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU192+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:47:40 PM UTC 2026
% Result : Theorem 4.18s 1.52s
% Output : Refutation 5.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 72 ( 7 unt; 3 def)
% Number of atoms : 289 ( 23 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 358 ( 141 ~; 153 |; 44 &)
% ( 13 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 131 ( 0 sgn 108 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation(X2)
=> ( X2 = relation_dom_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_relat_1) ).
fof(f21,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f56,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f173,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
<=> ( in(X0,X1)
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_relat_1) ).
fof(f174,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
<=> ( in(X0,X1)
& in(X0,relation_dom(X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f173]) ).
fof(f182,plain,
? [X0,X1,X2] :
( ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
<~> ( in(X0,X1)
& in(X0,relation_dom(X2)) ) )
& relation(X2) ),
inference(ennf_transformation,[],[f174]) ).
fof(f185,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f186,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_dom_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) ) ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f191,plain,
? [X0,X1,X2] :
( ( ~ in(X0,X1)
| ~ in(X0,relation_dom(X2))
| ~ in(X0,relation_dom(relation_dom_restriction(X2,X1))) )
& ( ( in(X0,X1)
& in(X0,relation_dom(X2)) )
| in(X0,relation_dom(relation_dom_restriction(X2,X1))) )
& relation(X2) ),
inference(nnf_transformation,[],[f182]) ).
fof(f192,plain,
? [X0,X1,X2] :
( ( ~ in(X0,X1)
| ~ in(X0,relation_dom(X2))
| ~ in(X0,relation_dom(relation_dom_restriction(X2,X1))) )
& ( ( in(X0,X1)
& in(X0,relation_dom(X2)) )
| in(X0,relation_dom(relation_dom_restriction(X2,X1))) )
& relation(X2) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
( ( ~ in(sK0,sK1)
| ~ in(sK0,relation_dom(sK2))
| ~ in(sK0,relation_dom(relation_dom_restriction(sK2,sK1))) )
& ( ( in(sK0,sK1)
& in(sK0,relation_dom(sK2)) )
| in(sK0,relation_dom(relation_dom_restriction(sK2,sK1))) )
& relation(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f192]) ).
fof(f196,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = relation_dom_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0) )
& ( ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f186]) ).
fof(f197,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = relation_dom_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0) )
& ( ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = relation_dom_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0) )
& ( ( in(X5,X1)
& in(ordered_pair(X5,X6),X0) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(rectify,[],[f197]) ).
fof(f199,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = relation_dom_restriction(X0,X1)
| ( ( ~ in(sK4(X0,X1,X2),X1)
| ~ in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X0)
| ~ in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X2) )
& ( ( in(sK4(X0,X1,X2),X1)
& in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X0) )
| in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0) )
& ( ( in(X5,X1)
& in(ordered_pair(X5,X6),X0) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X4,sK5(X0,X1,X2))],[f198]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f190]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f200]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK6(X0,X1),X3),X0)
| ~ in(sK6(X0,X1),X1) )
& ( in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0)
| in(sK6(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK8(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X2,sK6(X0,X1)),skolemize(X4,sK7(X0,X1)),skolemize(X7,sK8(X0,X5))],[f201]) ).
fof(f203,plain,
relation(sK2),
inference(cnf_transformation,[],[f193]) ).
fof(f204,plain,
( in(sK0,relation_dom(sK2))
| in(sK0,relation_dom(relation_dom_restriction(sK2,sK1))) ),
inference(cnf_transformation,[],[f193]) ).
fof(f205,plain,
( in(sK0,sK1)
| in(sK0,relation_dom(relation_dom_restriction(sK2,sK1))) ),
inference(cnf_transformation,[],[f193]) ).
fof(f206,plain,
( ~ in(sK0,sK1)
| ~ in(sK0,relation_dom(sK2))
| ~ in(sK0,relation_dom(relation_dom_restriction(sK2,sK1))) ),
inference(cnf_transformation,[],[f193]) ).
fof(f210,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f211,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X0)
| ~ in(ordered_pair(X5,X6),X2)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f212,plain,
! [X2,X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X2)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f213,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X2)
| ~ in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f220,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK8(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f221,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f224,plain,
! [X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),relation_dom_restriction(X0,X1))
| ~ in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f213]) ).
fof(f225,plain,
! [X0,X1,X6,X5] :
( ~ in(ordered_pair(X5,X6),relation_dom_restriction(X0,X1))
| in(X5,X1)
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f212]) ).
fof(f226,plain,
! [X0,X1,X6,X5] :
( ~ in(ordered_pair(X5,X6),relation_dom_restriction(X0,X1))
| in(ordered_pair(X5,X6),X0)
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f211]) ).
fof(f227,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X5,X6),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f221]) ).
fof(f228,plain,
! [X0,X5] :
( in(ordered_pair(X5,sK8(X0,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f220]) ).
fof(f230,definition,
( spl9_1
<=> in(sK0,relation_dom(relation_dom_restriction(sK2,sK1))) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f231,plain,
( ~ in(sK0,relation_dom(relation_dom_restriction(sK2,sK1)))
| spl9_1 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f232,plain,
( in(sK0,relation_dom(relation_dom_restriction(sK2,sK1)))
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl9_2
<=> in(sK0,relation_dom(sK2)) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f235,plain,
( ~ in(sK0,relation_dom(sK2))
| spl9_2 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( in(sK0,relation_dom(sK2))
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f204,f234,f230]) ).
fof(f239,definition,
( spl9_3
<=> in(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).
fof(f240,plain,
( ~ in(sK0,sK1)
| spl9_3 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( in(sK0,sK1)
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f242,plain,
( spl9_1
| spl9_3 ),
inference(avatar_split_clause,[],[f205,f239,f230]) ).
fof(f243,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(avatar_split_clause,[],[f206,f239,f234,f230]) ).
fof(f248,plain,
! [X0] : relation(relation_dom_restriction(sK2,X0)),
inference(unit_resulting_resolution,[],[f210,f203]) ).
fof(f249,plain,
( ! [X0] : ~ in(ordered_pair(sK0,X0),relation_dom_restriction(sK2,sK1))
| spl9_1 ),
inference(unit_resulting_resolution,[],[f227,f231,f248]) ).
fof(f253,plain,
( in(ordered_pair(sK0,sK8(sK2,sK0)),sK2)
| ~ spl9_2 ),
inference(unit_resulting_resolution,[],[f228,f203,f236]) ).
fof(f285,plain,
( ~ relation(sK2)
| spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(unit_resulting_resolution,[],[f224,f241,f248,f253,f249]) ).
fof(f294,plain,
( $false
| spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(forward_subsumption_resolution,[],[f285,f203]) ).
fof(f295,plain,
( spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f296,plain,
( ! [X0] : ~ in(ordered_pair(sK0,X0),sK2)
| spl9_2 ),
inference(unit_resulting_resolution,[],[f227,f203,f235]) ).
fof(f303,plain,
( ! [X0,X1] : ~ in(ordered_pair(sK0,X0),relation_dom_restriction(sK2,X1))
| spl9_2 ),
inference(unit_resulting_resolution,[],[f226,f203,f248,f296]) ).
fof(f313,plain,
( ~ relation(relation_dom_restriction(sK2,sK1))
| ~ spl9_1
| spl9_2 ),
inference(unit_resulting_resolution,[],[f228,f232,f303]) ).
fof(f319,plain,
( $false
| ~ spl9_1
| spl9_2 ),
inference(forward_subsumption_resolution,[],[f313,f248]) ).
fof(f320,plain,
( ~ spl9_1
| spl9_2 ),
inference(avatar_contradiction_clause,[],[f319]) ).
fof(f321,plain,
( ! [X0] : ~ in(ordered_pair(sK0,X0),relation_dom_restriction(sK2,sK1))
| spl9_3 ),
inference(unit_resulting_resolution,[],[f225,f203,f248,f240]) ).
fof(f335,plain,
( ~ relation(relation_dom_restriction(sK2,sK1))
| ~ spl9_1
| spl9_3 ),
inference(unit_resulting_resolution,[],[f228,f232,f321]) ).
fof(f343,plain,
( $false
| ~ spl9_1
| spl9_3 ),
inference(forward_subsumption_resolution,[],[f335,f248]) ).
fof(f344,plain,
( ~ spl9_1
| spl9_3 ),
inference(avatar_contradiction_clause,[],[f343]) ).
cnf(s1,plain,
( spl9_1
| spl9_2 ),
inference(sat_conversion,[],[f237]) ).
cnf(s2,plain,
( spl9_1
| spl9_3 ),
inference(sat_conversion,[],[f242]) ).
cnf(s3,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(sat_conversion,[],[f243]) ).
cnf(s8,plain,
( spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(sat_conversion,[],[f295]) ).
cnf(s10,plain,
( ~ spl9_1
| spl9_2 ),
inference(sat_conversion,[],[f320]) ).
cnf(s13,plain,
( ~ spl9_1
| spl9_3 ),
inference(sat_conversion,[],[f344]) ).
cnf(s14,plain,
spl9_1,
inference(rat,[],[s8,s1,s2]) ).
cnf(s15,plain,
spl9_3,
inference(rat,[],[s13,s14]) ).
cnf(s16,plain,
spl9_2,
inference(rat,[],[s10,s14]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s3,s15,s16,s14]) ).
fof(f345,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU192+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 03:58:30 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 4.18/1.52 % (3006761)Detected formulas, will run a generic FOF schedule.
% 4.18/1.52 % (3006770)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2112113093:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.18/1.52 % (3006766)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=991651966:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.18/1.52 % (3006767)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=2966510777:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.18/1.52 % (3006768)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=2956744863:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.18/1.52 % (3006769)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1861376016:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.18/1.52 % (3006772)dis-21_1_sil=8000:lcm=predicate:random_seed=1657103167: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)
% 4.18/1.52 % (3006771)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=197853006:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.18/1.52 % (3006770)Instruction limit reached!
% 4.18/1.52 % (3006770)------------------------------
% 4.18/1.52 % (3006770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.52 % (3006770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.52 % (3006770)CaDiCaL version: 2.1.3
% 4.18/1.52 % (3006770)Termination reason: Instruction limit
% 4.18/1.52 % (3006770)Termination phase: Saturation
% 4.18/1.52 % (3006770)Time elapsed: 0.042 s
% 4.18/1.52 % (3006770)Peak memory usage: 89 MB
% 4.18/1.52 % (3006770)Instructions burned: 121 (million)
% 4.18/1.52 % (3006769)Instruction limit reached!
% 4.18/1.52 % (3006769)------------------------------
% 4.18/1.52 % (3006769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.52 % (3006769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.52 % (3006769)CaDiCaL version: 2.1.3
% 4.18/1.52 % (3006769)Termination reason: Instruction limit
% 4.18/1.52 % (3006769)Termination phase: Saturation
% 4.18/1.52 % (3006769)Time elapsed: 0.073 s
% 4.18/1.52 % (3006769)Peak memory usage: 90 MB
% 4.18/1.52 % (3006769)Instructions burned: 111 (million)
% 4.18/1.52 % (3006772)Instruction limit reached!
% 4.18/1.52 % (3006772)------------------------------
% 4.18/1.52 % (3006772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.52 % (3006772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.52 % (3006772)CaDiCaL version: 2.1.3
% 4.18/1.52 % (3006772)Termination reason: Instruction limit
% 4.18/1.52 % (3006772)Termination phase: Saturation
% 4.18/1.52 % (3006772)Time elapsed: 0.074 s
% 4.18/1.52 % (3006772)Peak memory usage: 91 MB
% 4.18/1.52 % (3006772)Instructions burned: 130 (million)
% 4.18/1.52 % (3006771)Instruction limit reached!
% 4.18/1.52 % (3006771)------------------------------
% 4.18/1.52 % (3006771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.52 % (3006771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.52 % (3006771)CaDiCaL version: 2.1.3
% 4.18/1.52 % (3006771)Termination reason: Instruction limit
% 4.18/1.52 % (3006771)Termination phase: Saturation
% 4.18/1.52 % (3006771)Time elapsed: 0.097 s
% 4.18/1.52 % (3006771)Peak memory usage: 90 MB
% 4.18/1.52 % (3006771)Instructions burned: 140 (million)
% 4.18/1.52 % (3006780)lrs+10_1_sil=8000:sp=occurrence:random_seed=3798203395:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.18/1.52 % (3006781)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1008207797:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.18/1.52 % (3006782)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2550596650:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.18/1.52 % (3006780)Instruction limit reached!
% 4.18/1.52 % (3006780)------------------------------
% 4.18/1.52 % (3006780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.52 % (3006780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.52 % (3006780)CaDiCaL version: 2.1.3
% 4.18/1.52 % (3006780)Termination reason: Instruction limit
% 4.18/1.52 % (3006780)Termination phase: Saturation
% 4.18/1.52 % (3006780)Time elapsed: 0.101 s
% 4.18/1.52 % (3006780)Peak memory usage: 92 MB
% 4.18/1.52 % (3006780)Instructions burned: 287 (million)
% 4.18/1.52 % (3006781)First to succeed.
% 4.18/1.52 % (3006781)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3006761"
% 4.18/1.52 % (3006783)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=3062427809:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.18/1.52 % (3006783)Also succeeded, but the first one will report.
% 4.18/1.52 % (3006787)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2353672274:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.18/1.52 % (3006782)Instruction limit reached!
% 4.18/1.52 % (3006782)------------------------------
% 4.18/1.52 % (3006782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.52 % (3006782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.52 % (3006782)CaDiCaL version: 2.1.3
% 4.18/1.52 % (3006782)Termination reason: Instruction limit
% 4.18/1.52 % (3006782)Termination phase: Saturation
% 4.18/1.52 % (3006782)Time elapsed: 0.225 s
% 4.18/1.52 % (3006782)Peak memory usage: 92 MB
% 4.18/1.52 % (3006782)Instructions burned: 326 (million)
% 4.18/1.52 % (3006787)Instruction limit reached!
% 4.18/1.52 % (3006787)------------------------------
% 4.18/1.52 % (3006787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.52 % (3006787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.52 % (3006787)CaDiCaL version: 2.1.3
% 4.18/1.52 % (3006787)Termination reason: Instruction limit
% 4.18/1.52 % (3006787)Termination phase: Saturation
% 4.18/1.52 % (3006787)Time elapsed: 0.098 s
% 4.18/1.52 % (3006787)Peak memory usage: 90 MB
% 4.18/1.52 % (3006787)Instructions burned: 296 (million)
% 4.18/1.52 % (3006781)Refutation found. Thanks to Tanya!
% 4.18/1.52 % SZS status Theorem for theBenchmark
% 4.18/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 5.34/1.71 % (3006781)------------------------------
% 5.34/1.71 % (3006781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/1.71 % (3006781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/1.71 % (3006781)CaDiCaL version: 2.1.3
% 5.34/1.71 % (3006781)Termination reason: Refutation
% 5.34/1.71 % (3006781)Time elapsed: 0.008 s
% 5.34/1.71 % (3006781)Peak memory usage: 90 MB
% 5.34/1.71 % (3006781)Instructions burned: 10 (million)
% 5.34/1.71 % (3006781)------------------------------
% 5.34/1.71 % (3006781)------------------------------
% 5.34/1.71 % (3006761)Success in time 0.668 s
% 5.34/1.71 % Vampire exiting
%------------------------------------------------------------------------------