%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU201+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:47:42 PM UTC 2026
% Result : Theorem 6.68s 2.03s
% Output : Refutation 8.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 97 ( 23 unt; 7 def)
% Number of atoms : 283 ( 38 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 307 ( 121 ~; 133 |; 40 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 130 ( 0 sgn 123 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f22,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f27,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f112,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,X1)
& in(X0,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t115_relat_1) ).
fof(f117,conjecture,
! [X0,X1] :
( relation(X1)
=> relation_rng(relation_rng_restriction(X0,X1)) = set_intersection2(relation_rng(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_relat_1) ).
fof(f118,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> relation_rng(relation_rng_restriction(X0,X1)) = set_intersection2(relation_rng(X1),X0) ),
inference(negated_conjecture,[status(cth)],[f117]) ).
fof(f162,axiom,
! [X0,X1] : set_difference(X0,set_difference(X0,X1)) = set_intersection2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f218,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f275,plain,
! [X0,X1,X2] :
( ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,X1)
& in(X0,relation_rng(X2)) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f112]) ).
fof(f280,plain,
? [X0,X1] :
( relation_rng(relation_rng_restriction(X0,X1)) != set_intersection2(relation_rng(X1),X0)
& relation(X1) ),
inference(ennf_transformation,[],[f118]) ).
fof(f360,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f361,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f360]) ).
fof(f403,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f218]) ).
fof(f404,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f403]) ).
fof(f405,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK26(X0,X1),X1)
& in(sK26(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X2,sK26(X0,X1))],[f404]) ).
fof(f416,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f417,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(flattening,[],[f416]) ).
fof(f418,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(rectify,[],[f417]) ).
fof(f419,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ( ( ~ in(sK34(X0,X1,X2),X0)
| in(sK34(X0,X1,X2),X1)
| ~ in(sK34(X0,X1,X2),X2) )
& ( ( in(sK34(X0,X1,X2),X0)
& ~ in(sK34(X0,X1,X2),X1) )
| in(sK34(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(X3,sK34(X0,X1,X2))],[f418]) ).
fof(f450,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ~ in(X0,X1)
| ~ in(X0,relation_rng(X2)) )
& ( ( in(X0,X1)
& in(X0,relation_rng(X2)) )
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f275]) ).
fof(f451,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ~ in(X0,X1)
| ~ in(X0,relation_rng(X2)) )
& ( ( in(X0,X1)
& in(X0,relation_rng(X2)) )
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) )
| ~ relation(X2) ),
inference(flattening,[],[f450]) ).
fof(f452,plain,
( relation_rng(relation_rng_restriction(sK53,sK54)) != set_intersection2(relation_rng(sK54),sK53)
& relation(sK54) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54]),skolemize(X0,sK53),skolemize(X1,sK54)],[f280]) ).
fof(f489,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f361]) ).
fof(f555,plain,
! [X0,X1] :
( in(sK26(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f405]) ).
fof(f556,plain,
! [X0,X1] :
( ~ in(sK26(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f405]) ).
fof(f574,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f419]) ).
fof(f575,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f419]) ).
fof(f576,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f419]) ).
fof(f683,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| in(X0,relation_rng(X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f451]) ).
fof(f684,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| in(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f451]) ).
fof(f685,plain,
! [X2,X0,X1] :
( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
| ~ in(X0,X1)
| ~ in(X0,relation_rng(X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f451]) ).
fof(f691,plain,
relation(sK54),
inference(cnf_transformation,[],[f452]) ).
fof(f692,plain,
relation_rng(relation_rng_restriction(sK53,sK54)) != set_intersection2(relation_rng(sK54),sK53),
inference(cnf_transformation,[],[f452]) ).
fof(f754,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
inference(cnf_transformation,[],[f162]) ).
fof(f885,plain,
relation_rng(relation_rng_restriction(sK53,sK54)) != set_difference(relation_rng(sK54),set_difference(relation_rng(sK54),sK53)),
inference(definition_unfolding,[],[f692,f754]) ).
fof(f964,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| ~ in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f576]) ).
fof(f965,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f575]) ).
fof(f966,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f574]) ).
fof(f980,definition,
sF63 = relation_rng_restriction(sK53,sK54),
introduced(definition,[new_symbols(definition,[sF63])],[function_definition]) ).
fof(f981,plain,
relation_rng_restriction(sK53,sK54) = sF63,
inference(reorient_equations,[],[f980]) ).
fof(f982,definition,
sF64 = relation_rng(sF63),
introduced(definition,[new_symbols(definition,[sF64])],[function_definition]) ).
fof(f983,plain,
relation_rng(sF63) = sF64,
inference(reorient_equations,[],[f982]) ).
fof(f984,definition,
sF65 = relation_rng(sK54),
introduced(definition,[new_symbols(definition,[sF65])],[function_definition]) ).
fof(f985,plain,
relation_rng(sK54) = sF65,
inference(reorient_equations,[],[f984]) ).
fof(f986,definition,
sF66 = set_difference(sF65,sK53),
introduced(definition,[new_symbols(definition,[sF66])],[function_definition]) ).
fof(f987,plain,
set_difference(sF65,sK53) = sF66,
inference(reorient_equations,[],[f986]) ).
fof(f988,definition,
sF67 = set_difference(sF65,sF66),
introduced(definition,[new_symbols(definition,[sF67])],[function_definition]) ).
fof(f989,plain,
set_difference(sF65,sF66) = sF67,
inference(reorient_equations,[],[f988]) ).
fof(f990,plain,
sF64 != sF67,
inference(definition_folding,[],[f885,f989,f987,f985,f985,f983,f981]) ).
fof(f1013,plain,
! [X0] :
( ~ in(X0,relation_rng(sF63))
| in(X0,relation_rng(sK54))
| ~ relation(sK54) ),
inference(superposition,[],[f683,f981]) ).
fof(f1014,plain,
! [X0] :
( ~ in(X0,relation_rng(sF63))
| in(X0,relation_rng(sK54)) ),
inference(forward_subsumption_resolution,[],[f1013,f691]) ).
fof(f1015,plain,
! [X0] :
( ~ in(X0,sF64)
| in(X0,relation_rng(sK54)) ),
inference(forward_demodulation,[],[f1014,f983]) ).
fof(f1016,plain,
! [X0] :
( ~ in(X0,sF64)
| in(X0,sF65) ),
inference(forward_demodulation,[],[f1015,f985]) ).
fof(f1017,plain,
! [X0] :
( ~ in(X0,relation_rng(sF63))
| in(X0,sK53)
| ~ relation(sK54) ),
inference(superposition,[],[f684,f981]) ).
fof(f1018,plain,
! [X0] :
( ~ in(X0,relation_rng(sF63))
| in(X0,sK53) ),
inference(forward_subsumption_resolution,[],[f1017,f691]) ).
fof(f1019,plain,
! [X0] :
( ~ in(X0,sF64)
| in(X0,sK53) ),
inference(forward_demodulation,[],[f1018,f983]) ).
fof(f1044,plain,
! [X0] :
( in(X0,relation_rng(sF63))
| ~ in(X0,sK53)
| ~ in(X0,relation_rng(sK54))
| ~ relation(sK54) ),
inference(superposition,[],[f685,f981]) ).
fof(f1047,plain,
! [X0] :
( in(X0,relation_rng(sF63))
| ~ in(X0,sK53)
| ~ in(X0,relation_rng(sK54)) ),
inference(forward_subsumption_resolution,[],[f1044,f691]) ).
fof(f1048,plain,
! [X0] :
( in(X0,sF64)
| ~ in(X0,sK53)
| ~ in(X0,relation_rng(sK54)) ),
inference(forward_demodulation,[],[f1047,f983]) ).
fof(f1049,plain,
! [X0] :
( ~ in(X0,sF65)
| in(X0,sF64)
| ~ in(X0,sK53) ),
inference(forward_demodulation,[],[f1048,f985]) ).
fof(f1071,plain,
! [X0] :
( ~ in(X0,sF67)
| ~ in(X0,sF66) ),
inference(superposition,[],[f966,f989]) ).
fof(f1072,plain,
! [X0] :
( ~ in(X0,sF66)
| ~ in(X0,sK53) ),
inference(superposition,[],[f966,f987]) ).
fof(f1107,plain,
! [X0] :
( ~ in(X0,sF67)
| in(X0,sF65) ),
inference(superposition,[],[f965,f989]) ).
fof(f1147,plain,
! [X0] :
( ~ in(X0,sF65)
| in(X0,sF67)
| in(X0,sF66) ),
inference(superposition,[],[f964,f989]) ).
fof(f1148,plain,
! [X0] :
( ~ in(X0,sF65)
| in(X0,sF66)
| in(X0,sK53) ),
inference(superposition,[],[f964,f987]) ).
fof(f1254,plain,
! [X0] :
( in(sK26(sF64,X0),sK53)
| subset(sF64,X0) ),
inference(resolution,[],[f555,f1019]) ).
fof(f1255,plain,
! [X0] :
( in(sK26(sF64,X0),sF65)
| subset(sF64,X0) ),
inference(resolution,[],[f555,f1016]) ).
fof(f1261,plain,
! [X0] :
( in(sK26(sF67,X0),sF65)
| subset(sF67,X0) ),
inference(resolution,[],[f555,f1107]) ).
fof(f1262,plain,
! [X0] :
( ~ in(sK26(sF67,X0),sF66)
| subset(sF67,X0) ),
inference(resolution,[],[f555,f1071]) ).
fof(f1263,plain,
! [X0] :
( in(sK26(sF64,X0),sF67)
| subset(sF64,X0)
| in(sK26(sF64,X0),sF66) ),
inference(resolution,[],[f1255,f1147]) ).
fof(f1270,plain,
! [X0] :
( subset(sF67,X0)
| in(sK26(sF67,X0),sF66)
| in(sK26(sF67,X0),sK53) ),
inference(resolution,[],[f1261,f1148]) ).
fof(f1271,plain,
! [X0] :
( ~ in(sK26(sF67,X0),sK53)
| in(sK26(sF67,X0),sF64)
| subset(sF67,X0) ),
inference(resolution,[],[f1261,f1049]) ).
fof(f1272,plain,
! [X0] :
( in(sK26(sF67,X0),sK53)
| subset(sF67,X0) ),
inference(forward_subsumption_resolution,[],[f1270,f1262]) ).
fof(f1273,plain,
! [X0] :
( in(sK26(sF67,X0),sF64)
| subset(sF67,X0)
| subset(sF67,X0) ),
inference(resolution,[],[f1271,f1272]) ).
fof(f1274,plain,
! [X0] :
( in(sK26(sF67,X0),sF64)
| subset(sF67,X0) ),
inference(duplicate_literal_removal,[],[f1273]) ).
fof(f1357,plain,
( subset(sF67,sF64)
| subset(sF67,sF64) ),
inference(resolution,[],[f556,f1274]) ).
fof(f1360,plain,
( subset(sF64,sF67)
| subset(sF64,sF67)
| in(sK26(sF64,sF67),sF66) ),
inference(resolution,[],[f556,f1263]) ).
fof(f1363,plain,
( subset(sF64,sF67)
| in(sK26(sF64,sF67),sF66) ),
inference(duplicate_literal_removal,[],[f1360]) ).
fof(f1366,plain,
subset(sF67,sF64),
inference(duplicate_literal_removal,[],[f1357]) ).
fof(f1371,definition,
( spl68_16
<=> in(sK26(sF64,sF67),sF66) ),
introduced(definition,[new_symbols(definition,[spl68_16])],[avatar_definition]) ).
fof(f1373,plain,
( in(sK26(sF64,sF67),sF66)
| ~ spl68_16 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1375,definition,
( spl68_17
<=> subset(sF64,sF67) ),
introduced(definition,[new_symbols(definition,[spl68_17])],[avatar_definition]) ).
fof(f1376,plain,
( ~ subset(sF64,sF67)
| spl68_17 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f1378,plain,
( spl68_16
| spl68_17 ),
inference(avatar_split_clause,[],[f1363,f1375,f1371]) ).
fof(f1379,plain,
( ~ subset(sF64,sF67)
| sF64 = sF67 ),
inference(resolution,[],[f1366,f489]) ).
fof(f1380,plain,
~ subset(sF64,sF67),
inference(forward_subsumption_resolution,[],[f1379,f990]) ).
fof(f1381,plain,
~ spl68_17,
inference(avatar_split_clause,[],[f1380,f1375]) ).
fof(f1383,plain,
( ~ in(sK26(sF64,sF67),sK53)
| ~ spl68_16 ),
inference(resolution,[],[f1373,f1072]) ).
fof(f1387,plain,
( subset(sF64,sF67)
| ~ spl68_16 ),
inference(resolution,[],[f1383,f1254]) ).
fof(f1388,plain,
( $false
| ~ spl68_16
| spl68_17 ),
inference(forward_subsumption_resolution,[],[f1387,f1376]) ).
fof(f1389,plain,
( ~ spl68_16
| spl68_17 ),
inference(avatar_contradiction_clause,[],[f1388]) ).
cnf(s9,plain,
( spl68_16
| spl68_17 ),
inference(sat_conversion,[],[f1378]) ).
cnf(s10,plain,
~ spl68_17,
inference(sat_conversion,[],[f1381]) ).
cnf(s11,plain,
( ~ spl68_16
| spl68_17 ),
inference(sat_conversion,[],[f1389]) ).
cnf(s12,plain,
~ spl68_16,
inference(rat,[],[s11,s10]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s9,s10,s12]) ).
fof(f1390,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU201+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n007.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 03:58:55 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.68/2.03 % (2012123)Detected formulas, will run a generic FOF schedule.
% 6.68/2.03 % (2012129)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=2065956452:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.68/2.03 % (2012134)dis-21_1_sil=8000:lcm=predicate:random_seed=3550487533: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)
% 6.68/2.03 % (2012133)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3687240061:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.68/2.03 % (2012130)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=1527152407:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.68/2.03 % (2012128)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=2839129340:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.68/2.03 % (2012132)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3580718858:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.68/2.03 % (2012131)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2507316796:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.68/2.03 % (2012131)Instruction limit reached!
% 6.68/2.03 % (2012131)------------------------------
% 6.68/2.03 % (2012131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/2.03 % (2012131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.03 % (2012131)CaDiCaL version: 2.1.3
% 6.68/2.03 % (2012131)Termination reason: Instruction limit
% 6.68/2.03 % (2012131)Termination phase: Saturation
% 6.68/2.03 % (2012131)Time elapsed: 0.073 s
% 6.68/2.03 % (2012131)Peak memory usage: 90 MB
% 6.68/2.03 % (2012131)Instructions burned: 109 (million)
% 6.68/2.03 % (2012134)Instruction limit reached!
% 6.68/2.03 % (2012134)------------------------------
% 6.68/2.03 % (2012134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/2.03 % (2012134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.03 % (2012134)CaDiCaL version: 2.1.3
% 6.68/2.03 % (2012134)Termination reason: Instruction limit
% 6.68/2.03 % (2012134)Termination phase: Saturation
% 6.68/2.03 % (2012134)Time elapsed: 0.076 s
% 6.68/2.03 % (2012134)Peak memory usage: 89 MB
% 6.68/2.03 % (2012134)Instructions burned: 131 (million)
% 6.68/2.03 % (2012132)Instruction limit reached!
% 6.68/2.03 % (2012132)------------------------------
% 6.68/2.03 % (2012132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/2.03 % (2012132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.03 % (2012132)CaDiCaL version: 2.1.3
% 6.68/2.03 % (2012132)Termination reason: Instruction limit
% 6.68/2.03 % (2012132)Termination phase: Saturation
% 6.68/2.03 % (2012132)Time elapsed: 0.078 s
% 6.68/2.03 % (2012132)Peak memory usage: 89 MB
% 6.68/2.03 % (2012132)Instructions burned: 119 (million)
% 6.68/2.03 % (2012133)Instruction limit reached!
% 6.68/2.03 % (2012133)------------------------------
% 6.68/2.03 % (2012133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/2.03 % (2012133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.03 % (2012133)CaDiCaL version: 2.1.3
% 6.68/2.03 % (2012133)Termination reason: Instruction limit
% 6.68/2.03 % (2012133)Termination phase: Saturation
% 6.68/2.03 % (2012133)Time elapsed: 0.097 s
% 6.68/2.03 % (2012133)Peak memory usage: 90 MB
% 6.68/2.03 % (2012133)Instructions burned: 139 (million)
% 6.68/2.03 % (2012144)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2848703663:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.68/2.03 % (2012142)lrs+10_1_sil=8000:sp=occurrence:random_seed=3259051947:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.68/2.03 % (2012143)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2528721417:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.68/2.03 % (2012145)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=3737052654:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.68/2.03 % (2012143)Instruction limit reached!
% 6.68/2.03 % (2012143)------------------------------
% 6.68/2.03 % (2012143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/2.03 % (2012143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.03 % (2012143)CaDiCaL version: 2.1.3
% 6.68/2.03 % (2012143)Termination reason: Instruction limit
% 6.68/2.03 % (2012143)Termination phase: Saturation
% 6.68/2.03 % (2012143)Time elapsed: 0.098 s
% 6.68/2.03 % (2012143)Peak memory usage: 91 MB
% 6.68/2.03 % (2012143)Instructions burned: 158 (million)
% 6.68/2.03 % (2012145)Instruction limit reached!
% 6.68/2.03 % (2012145)------------------------------
% 6.68/2.03 % (2012145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/2.03 % (2012145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.03 % (2012145)CaDiCaL version: 2.1.3
% 6.68/2.03 % (2012145)Termination reason: Instruction limit
% 6.68/2.03 % (2012145)Termination phase: Saturation
% 6.68/2.03 % (2012145)Time elapsed: 0.153 s
% 6.68/2.03 % (2012145)Peak memory usage: 93 MB
% 6.68/2.03 % (2012145)Instructions burned: 249 (million)
% 6.68/2.03 % (2012142)Instruction limit reached!
% 6.68/2.03 % (2012142)------------------------------
% 6.68/2.03 % (2012142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/2.03 % (2012142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.03 % (2012142)CaDiCaL version: 2.1.3
% 6.68/2.03 % (2012142)Termination reason: Instruction limit
% 6.68/2.03 % (2012142)Termination phase: Saturation
% 6.68/2.03 % (2012142)Time elapsed: 0.182 s
% 6.68/2.03 % (2012142)Peak memory usage: 92 MB
% 6.68/2.03 % (2012142)Instructions burned: 286 (million)
% 6.68/2.03 % (2012144)Instruction limit reached!
% 6.68/2.03 % (2012144)------------------------------
% 6.68/2.03 % (2012144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/2.03 % (2012144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.03 % (2012144)CaDiCaL version: 2.1.3
% 6.68/2.03 % (2012144)Termination reason: Instruction limit
% 6.68/2.03 % (2012144)Termination phase: Saturation
% 6.68/2.03 % (2012144)Time elapsed: 0.218 s
% 6.68/2.03 % (2012144)Peak memory usage: 92 MB
% 6.68/2.03 % (2012144)Instructions burned: 326 (million)
% 6.68/2.03 % (2012150)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=11577546:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.68/2.03 % (2012151)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=69908234:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.68/2.03 % (2012152)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3958226263:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.68/2.03 % (2012153)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1237864897:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.68/2.03 % (2012152)Instruction limit reached!
% 6.68/2.03 % (2012152)------------------------------
% 6.68/2.03 % (2012152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/2.03 % (2012152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.03 % (2012152)CaDiCaL version: 2.1.3
% 6.68/2.03 % (2012152)Termination reason: Instruction limit
% 6.68/2.03 % (2012152)Termination phase: Saturation
% 6.68/2.03 % (2012152)Time elapsed: 0.067 s
% 6.68/2.03 % (2012152)Peak memory usage: 89 MB
% 6.68/2.03 % (2012152)Instructions burned: 114 (million)
% 6.68/2.03 % (2012153)Instruction limit reached!
% 6.68/2.03 % (2012153)------------------------------
% 6.68/2.03 % (2012153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/2.03 % (2012153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.03 % (2012153)CaDiCaL version: 2.1.3
% 6.68/2.03 % (2012153)Termination reason: Instruction limit
% 6.68/2.03 % (2012153)Termination phase: Saturation
% 6.68/2.03 % (2012153)Time elapsed: 0.063 s
% 6.68/2.03 % (2012153)Peak memory usage: 89 MB
% 6.68/2.03 % (2012153)Instructions burned: 128 (million)
% 6.68/2.03 % (2012150)Instruction limit reached!
% 6.68/2.03 % (2012150)------------------------------
% 6.68/2.03 % (2012150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/2.03 % (2012150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.03 % (2012150)CaDiCaL version: 2.1.3
% 6.68/2.03 % (2012150)Termination reason: Instruction limit
% 6.68/2.03 % (2012150)Termination phase: Saturation
% 6.68/2.03 % (2012150)Time elapsed: 0.182 s
% 6.68/2.03 % (2012150)Peak memory usage: 90 MB
% 6.68/2.03 % (2012150)Instructions burned: 294 (million)
% 6.68/2.03 % (2012128)First to succeed.
% 6.68/2.03 % (2012128)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2012123"
% 6.68/2.03 % (2012130)Also succeeded, but the first one will report.
% 6.68/2.03 % (2012158)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1244842899:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.68/2.03 % (2012159)lrs+10_1_sil=8000:sp=occurrence:random_seed=1685806833:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.68/2.03 % (2012160)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3258387697:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.68/2.03 % (2012158)Instruction limit reached!
% 6.68/2.03 % (2012158)------------------------------
% 6.68/2.03 % (2012158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/2.03 % (2012158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/2.03 % (2012158)CaDiCaL version: 2.1.3
% 6.68/2.03 % (2012158)Termination reason: Instruction limit
% 6.68/2.03 % (2012158)Termination phase: Saturation
% 6.68/2.03 % (2012158)Time elapsed: 0.072 s
% 6.68/2.03 % (2012158)Peak memory usage: 89 MB
% 6.68/2.03 % (2012158)Instructions burned: 115 (million)
% 6.68/2.03 % (2012128)Refutation found. Thanks to Tanya!
% 6.68/2.03 % SZS status Theorem for theBenchmark
% 6.68/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.76/2.22 % (2012128)------------------------------
% 8.76/2.22 % (2012128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.22 % (2012128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.22 % (2012128)CaDiCaL version: 2.1.3
% 8.76/2.22 % (2012128)Termination reason: Refutation
% 8.76/2.22 % (2012128)Time elapsed: 0.720 s
% 8.76/2.22 % (2012128)Peak memory usage: 131 MB
% 8.76/2.22 % (2012128)Instructions burned: 1098 (million)
% 8.76/2.22 % (2012128)------------------------------
% 8.76/2.22 % (2012128)------------------------------
% 8.76/2.22 % (2012123)Success in time 1.156 s
% 8.76/2.22 % Vampire exiting
%------------------------------------------------------------------------------