%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU194+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 : n003.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 6.50s 7.03s
% Output : Refutation 8.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 97 ( 22 unt; 7 def)
% Number of atoms : 284 ( 39 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 309 ( 122 ~; 134 |; 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/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f20,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f25,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f153,axiom,
! [X0,X1] : set_difference(X0,set_difference(X0,X1)) = set_intersection2(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f175,axiom,
! [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(f180,conjecture,
! [X0,X1] :
( relation(X1)
=> relation_dom(relation_dom_restriction(X1,X0)) = set_intersection2(relation_dom(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t90_relat_1) ).
fof(f181,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> relation_dom(relation_dom_restriction(X1,X0)) = set_intersection2(relation_dom(X1),X0) ),
inference(negated_conjecture,[status(cth)],[f180]) ).
fof(f206,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f325,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,[],[f175]) ).
fof(f331,plain,
? [X0,X1] :
( relation_dom(relation_dom_restriction(X1,X0)) != set_intersection2(relation_dom(X1),X0)
& relation(X1) ),
inference(ennf_transformation,[],[f181]) ).
fof(f340,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f341,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f340]) ).
fof(f376,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,[],[f206]) ).
fof(f377,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,[],[f376]) ).
fof(f378,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK22(X0,X1),X1)
& in(sK22(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X2,sK22(X0,X1))],[f377]) ).
fof(f389,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,[],[f25]) ).
fof(f390,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,[],[f389]) ).
fof(f391,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,[],[f390]) ).
fof(f392,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ( ( ~ in(sK30(X0,X1,X2),X0)
| in(sK30(X0,X1,X2),X1)
| ~ in(sK30(X0,X1,X2),X2) )
& ( ( in(sK30(X0,X1,X2),X0)
& ~ in(sK30(X0,X1,X2),X1) )
| in(sK30(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,[sK30]),skolemize(X3,sK30(X0,X1,X2))],[f391]) ).
fof(f442,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
| ~ in(X0,X1)
| ~ in(X0,relation_dom(X2)) )
& ( ( in(X0,X1)
& in(X0,relation_dom(X2)) )
| ~ in(X0,relation_dom(relation_dom_restriction(X2,X1))) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f325]) ).
fof(f443,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
| ~ in(X0,X1)
| ~ in(X0,relation_dom(X2)) )
& ( ( in(X0,X1)
& in(X0,relation_dom(X2)) )
| ~ in(X0,relation_dom(relation_dom_restriction(X2,X1))) ) )
| ~ relation(X2) ),
inference(flattening,[],[f442]) ).
fof(f444,plain,
( relation_dom(relation_dom_restriction(sK56,sK55)) != set_intersection2(relation_dom(sK56),sK55)
& relation(sK56) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55,sK56]),skolemize(X0,sK55),skolemize(X1,sK56)],[f331]) ).
fof(f460,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f341]) ).
fof(f516,plain,
! [X0,X1] :
( in(sK22(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f378]) ).
fof(f517,plain,
! [X0,X1] :
( ~ in(sK22(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f378]) ).
fof(f535,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f392]) ).
fof(f536,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f392]) ).
fof(f537,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f392]) ).
fof(f706,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
inference(cnf_transformation,[],[f153]) ).
fof(f737,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_dom_restriction(X2,X1)))
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f443]) ).
fof(f738,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_dom_restriction(X2,X1)))
| in(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f443]) ).
fof(f739,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
| ~ in(X0,X1)
| ~ in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f443]) ).
fof(f744,plain,
relation(sK56),
inference(cnf_transformation,[],[f444]) ).
fof(f745,plain,
relation_dom(relation_dom_restriction(sK56,sK55)) != set_intersection2(relation_dom(sK56),sK55),
inference(cnf_transformation,[],[f444]) ).
fof(f854,plain,
relation_dom(relation_dom_restriction(sK56,sK55)) != set_difference(relation_dom(sK56),set_difference(relation_dom(sK56),sK55)),
inference(definition_unfolding,[],[f745,f706]) ).
fof(f899,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| ~ in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f537]) ).
fof(f900,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f536]) ).
fof(f901,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f535]) ).
fof(f915,definition,
sF59 = relation_dom_restriction(sK56,sK55),
introduced(definition,[new_symbols(definition,[sF59])],[function_definition]) ).
fof(f916,plain,
relation_dom_restriction(sK56,sK55) = sF59,
inference(reorient_equations,[],[f915]) ).
fof(f917,definition,
sF60 = relation_dom(sF59),
introduced(definition,[new_symbols(definition,[sF60])],[function_definition]) ).
fof(f918,plain,
relation_dom(sF59) = sF60,
inference(reorient_equations,[],[f917]) ).
fof(f919,definition,
sF61 = relation_dom(sK56),
introduced(definition,[new_symbols(definition,[sF61])],[function_definition]) ).
fof(f920,plain,
relation_dom(sK56) = sF61,
inference(reorient_equations,[],[f919]) ).
fof(f921,definition,
sF62 = set_difference(sF61,sK55),
introduced(definition,[new_symbols(definition,[sF62])],[function_definition]) ).
fof(f922,plain,
set_difference(sF61,sK55) = sF62,
inference(reorient_equations,[],[f921]) ).
fof(f923,definition,
sF63 = set_difference(sF61,sF62),
introduced(definition,[new_symbols(definition,[sF63])],[function_definition]) ).
fof(f924,plain,
set_difference(sF61,sF62) = sF63,
inference(reorient_equations,[],[f923]) ).
fof(f925,plain,
sF60 != sF63,
inference(definition_folding,[],[f854,f924,f922,f920,f920,f918,f916]) ).
fof(f943,plain,
! [X0] :
( ~ in(X0,relation_dom(sF59))
| in(X0,relation_dom(sK56))
| ~ relation(sK56) ),
inference(superposition,[],[f737,f916]) ).
fof(f944,plain,
! [X0] :
( ~ in(X0,relation_dom(sF59))
| in(X0,relation_dom(sK56)) ),
inference(forward_subsumption_resolution,[],[f943,f744]) ).
fof(f945,plain,
! [X0] :
( ~ in(X0,sF60)
| in(X0,relation_dom(sK56)) ),
inference(forward_demodulation,[],[f944,f918]) ).
fof(f946,plain,
! [X0] :
( ~ in(X0,sF60)
| in(X0,sF61) ),
inference(forward_demodulation,[],[f945,f920]) ).
fof(f947,plain,
! [X0] :
( ~ in(X0,relation_dom(sF59))
| in(X0,sK55)
| ~ relation(sK56) ),
inference(superposition,[],[f738,f916]) ).
fof(f948,plain,
! [X0] :
( ~ in(X0,relation_dom(sF59))
| in(X0,sK55) ),
inference(forward_subsumption_resolution,[],[f947,f744]) ).
fof(f949,plain,
! [X0] :
( ~ in(X0,sF60)
| in(X0,sK55) ),
inference(forward_demodulation,[],[f948,f918]) ).
fof(f955,plain,
! [X0] :
( in(X0,relation_dom(sF59))
| ~ in(X0,sK55)
| ~ in(X0,relation_dom(sK56))
| ~ relation(sK56) ),
inference(superposition,[],[f739,f916]) ).
fof(f958,plain,
! [X0] :
( in(X0,relation_dom(sF59))
| ~ in(X0,sK55)
| ~ in(X0,relation_dom(sK56)) ),
inference(forward_subsumption_resolution,[],[f955,f744]) ).
fof(f959,plain,
! [X0] :
( in(X0,sF60)
| ~ in(X0,sK55)
| ~ in(X0,relation_dom(sK56)) ),
inference(forward_demodulation,[],[f958,f918]) ).
fof(f960,plain,
! [X0] :
( ~ in(X0,sF61)
| in(X0,sF60)
| ~ in(X0,sK55) ),
inference(forward_demodulation,[],[f959,f920]) ).
fof(f993,plain,
! [X0] :
( ~ in(X0,sF63)
| ~ in(X0,sF62) ),
inference(superposition,[],[f901,f924]) ).
fof(f994,plain,
! [X0] :
( ~ in(X0,sF62)
| ~ in(X0,sK55) ),
inference(superposition,[],[f901,f922]) ).
fof(f1029,plain,
! [X0] :
( ~ in(X0,sF63)
| in(X0,sF61) ),
inference(superposition,[],[f900,f924]) ).
fof(f1049,plain,
! [X0] :
( ~ in(X0,sF61)
| in(X0,sF63)
| in(X0,sF62) ),
inference(superposition,[],[f899,f924]) ).
fof(f1050,plain,
! [X0] :
( ~ in(X0,sF61)
| in(X0,sF62)
| in(X0,sK55) ),
inference(superposition,[],[f899,f922]) ).
fof(f1169,plain,
! [X0] :
( in(sK22(sF60,X0),sK55)
| subset(sF60,X0) ),
inference(resolution,[],[f516,f949]) ).
fof(f1170,plain,
! [X0] :
( in(sK22(sF60,X0),sF61)
| subset(sF60,X0) ),
inference(resolution,[],[f516,f946]) ).
fof(f1176,plain,
! [X0] :
( in(sK22(sF63,X0),sF61)
| subset(sF63,X0) ),
inference(resolution,[],[f516,f1029]) ).
fof(f1177,plain,
! [X0] :
( ~ in(sK22(sF63,X0),sF62)
| subset(sF63,X0) ),
inference(resolution,[],[f516,f993]) ).
fof(f1178,plain,
! [X0] :
( in(sK22(sF60,X0),sF63)
| subset(sF60,X0)
| in(sK22(sF60,X0),sF62) ),
inference(resolution,[],[f1170,f1049]) ).
fof(f1185,plain,
! [X0] :
( subset(sF63,X0)
| in(sK22(sF63,X0),sF62)
| in(sK22(sF63,X0),sK55) ),
inference(resolution,[],[f1176,f1050]) ).
fof(f1186,plain,
! [X0] :
( ~ in(sK22(sF63,X0),sK55)
| in(sK22(sF63,X0),sF60)
| subset(sF63,X0) ),
inference(resolution,[],[f1176,f960]) ).
fof(f1187,plain,
! [X0] :
( in(sK22(sF63,X0),sK55)
| subset(sF63,X0) ),
inference(forward_subsumption_resolution,[],[f1185,f1177]) ).
fof(f1188,plain,
! [X0] :
( in(sK22(sF63,X0),sF60)
| subset(sF63,X0)
| subset(sF63,X0) ),
inference(resolution,[],[f1186,f1187]) ).
fof(f1189,plain,
! [X0] :
( in(sK22(sF63,X0),sF60)
| subset(sF63,X0) ),
inference(duplicate_literal_removal,[],[f1188]) ).
fof(f1210,plain,
( subset(sF63,sF60)
| subset(sF63,sF60) ),
inference(resolution,[],[f517,f1189]) ).
fof(f1213,plain,
( subset(sF60,sF63)
| subset(sF60,sF63)
| in(sK22(sF60,sF63),sF62) ),
inference(resolution,[],[f517,f1178]) ).
fof(f1216,plain,
( subset(sF60,sF63)
| in(sK22(sF60,sF63),sF62) ),
inference(duplicate_literal_removal,[],[f1213]) ).
fof(f1219,plain,
subset(sF63,sF60),
inference(duplicate_literal_removal,[],[f1210]) ).
fof(f1224,definition,
( spl64_10
<=> in(sK22(sF60,sF63),sF62) ),
introduced(definition,[new_symbols(definition,[spl64_10])],[avatar_definition]) ).
fof(f1226,plain,
( in(sK22(sF60,sF63),sF62)
| ~ spl64_10 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1228,definition,
( spl64_11
<=> subset(sF60,sF63) ),
introduced(definition,[new_symbols(definition,[spl64_11])],[avatar_definition]) ).
fof(f1230,plain,
( subset(sF60,sF63)
| ~ spl64_11 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f1231,plain,
( spl64_10
| spl64_11 ),
inference(avatar_split_clause,[],[f1216,f1228,f1224]) ).
fof(f1233,plain,
( ~ in(sK22(sF60,sF63),sK55)
| ~ spl64_10 ),
inference(resolution,[],[f1226,f994]) ).
fof(f1237,plain,
( subset(sF60,sF63)
| ~ spl64_10 ),
inference(resolution,[],[f1233,f1169]) ).
fof(f1238,plain,
( spl64_11
| ~ spl64_10 ),
inference(avatar_split_clause,[],[f1237,f1224,f1228]) ).
fof(f1295,plain,
( ~ subset(sF63,sF60)
| sF60 = sF63
| ~ spl64_11 ),
inference(resolution,[],[f460,f1230]) ).
fof(f1308,plain,
( sF60 = sF63
| ~ spl64_11 ),
inference(forward_subsumption_resolution,[],[f1295,f1219]) ).
fof(f1320,plain,
( $false
| ~ spl64_11 ),
inference(forward_subsumption_resolution,[],[f1308,f925]) ).
fof(f1321,plain,
~ spl64_11,
inference(avatar_contradiction_clause,[],[f1320]) ).
cnf(s6,plain,
( spl64_10
| spl64_11 ),
inference(sat_conversion,[],[f1231]) ).
cnf(s7,plain,
( ~ spl64_10
| spl64_11 ),
inference(sat_conversion,[],[f1238]) ).
cnf(s11,plain,
~ spl64_11,
inference(sat_conversion,[],[f1321]) ).
cnf(s12,plain,
~ spl64_10,
inference(rat,[],[s7,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s6,s11,s12]) ).
fof(f1322,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU194+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.39 % Computer : n003.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Mon Sep 28 04:01:33 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/5.43 Running first-order theorem proving
% 0.17/5.43 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
% 6.50/7.03 % (1175501)Detected formulas, will run a generic FOF schedule.
% 6.50/7.03 % (1175510)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3341137024:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.50/7.03 % (1175508)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=817909573:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.50/7.03 % (1175507)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=3518336431:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.50/7.03 % (1175509)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2989950166:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.50/7.03 % (1175506)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=347565661:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.50/7.03 % (1175510)Instruction limit reached!
% 6.50/7.03 % (1175510)------------------------------
% 6.50/7.03 % (1175510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/7.03 % (1175510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/7.03 % (1175510)CaDiCaL version: 2.1.3
% 6.50/7.03 % (1175510)Termination reason: Instruction limit
% 6.50/7.03 % (1175510)Termination phase: Saturation
% 6.50/7.03 % (1175510)Time elapsed: 0.045 s
% 6.50/7.03 % (1175510)Peak memory usage: 89 MB
% 6.50/7.03 % (1175510)Instructions burned: 122 (million)
% 6.50/7.03 % (1175512)dis-21_1_sil=8000:lcm=predicate:random_seed=693193379: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)
% 6.50/7.03 % (1175511)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=598326844:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.50/7.03 % (1175509)Instruction limit reached!
% 6.50/7.03 % (1175509)------------------------------
% 6.50/7.03 % (1175509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/7.03 % (1175509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/7.03 % (1175509)CaDiCaL version: 2.1.3
% 6.50/7.03 % (1175509)Termination reason: Instruction limit
% 6.50/7.03 % (1175509)Termination phase: Saturation
% 6.50/7.03 % (1175509)Time elapsed: 0.074 s
% 6.50/7.03 % (1175509)Peak memory usage: 90 MB
% 6.50/7.03 % (1175509)Instructions burned: 110 (million)
% 6.50/7.03 % (1175512)Instruction limit reached!
% 6.50/7.03 % (1175512)------------------------------
% 6.50/7.03 % (1175512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/7.03 % (1175512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/7.03 % (1175512)CaDiCaL version: 2.1.3
% 6.50/7.03 % (1175512)Termination reason: Instruction limit
% 6.50/7.03 % (1175512)Termination phase: Saturation
% 6.50/7.03 % (1175512)Time elapsed: 0.075 s
% 6.50/7.03 % (1175512)Peak memory usage: 90 MB
% 6.50/7.03 % (1175512)Instructions burned: 129 (million)
% 6.50/7.03 % (1175511)Instruction limit reached!
% 6.50/7.03 % (1175511)------------------------------
% 6.50/7.03 % (1175511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/7.03 % (1175511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/7.03 % (1175511)CaDiCaL version: 2.1.3
% 6.50/7.03 % (1175511)Termination reason: Instruction limit
% 6.50/7.03 % (1175511)Termination phase: Saturation
% 6.50/7.03 % (1175511)Time elapsed: 0.097 s
% 6.50/7.03 % (1175511)Peak memory usage: 90 MB
% 6.50/7.03 % (1175511)Instructions burned: 139 (million)
% 6.50/7.03 % (1175518)lrs+10_1_sil=8000:sp=occurrence:random_seed=2842879372:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.50/7.03 % (1175518)Instruction limit reached!
% 6.50/7.03 % (1175518)------------------------------
% 6.50/7.03 % (1175518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/7.03 % (1175518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/7.03 % (1175518)CaDiCaL version: 2.1.3
% 6.50/7.03 % (1175518)Termination reason: Instruction limit
% 6.50/7.03 % (1175518)Termination phase: Saturation
% 6.50/7.03 % (1175518)Time elapsed: 0.101 s
% 6.50/7.03 % (1175518)Peak memory usage: 92 MB
% 6.50/7.03 % (1175518)Instructions burned: 287 (million)
% 6.50/7.03 % (1175521)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2606379302:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.50/7.03 % (1175522)lrs+1011_1_sil=32000:sp=occurrence:random_seed=719437160:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.50/7.03 % (1175523)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=3044012662:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.50/7.03 % (1175521)Instruction limit reached!
% 6.50/7.03 % (1175521)------------------------------
% 6.50/7.03 % (1175521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/7.03 % (1175521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/7.03 % (1175521)CaDiCaL version: 2.1.3
% 6.50/7.03 % (1175521)Termination reason: Instruction limit
% 6.50/7.03 % (1175521)Termination phase: Saturation
% 6.50/7.03 % (1175521)Time elapsed: 0.092 s
% 6.50/7.03 % (1175521)Peak memory usage: 90 MB
% 6.50/7.03 % (1175521)Instructions burned: 158 (million)
% 6.50/7.03 % (1175527)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3242951719:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.50/7.03 % (1175523)Instruction limit reached!
% 6.50/7.03 % (1175523)------------------------------
% 6.50/7.03 % (1175523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/7.03 % (1175523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/7.03 % (1175523)CaDiCaL version: 2.1.3
% 6.50/7.03 % (1175523)Termination reason: Instruction limit
% 6.50/7.03 % (1175523)Termination phase: Saturation
% 6.50/7.03 % (1175523)Time elapsed: 0.149 s
% 6.50/7.03 % (1175523)Peak memory usage: 93 MB
% 6.50/7.03 % (1175523)Instructions burned: 248 (million)
% 6.50/7.03 % (1175527)Instruction limit reached!
% 6.50/7.03 % (1175527)------------------------------
% 6.50/7.03 % (1175527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/7.03 % (1175527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/7.03 % (1175527)CaDiCaL version: 2.1.3
% 6.50/7.03 % (1175527)Termination reason: Instruction limit
% 6.50/7.03 % (1175527)Termination phase: Saturation
% 6.50/7.03 % (1175527)Time elapsed: 0.097 s
% 6.50/7.03 % (1175527)Peak memory usage: 90 MB
% 6.50/7.03 % (1175527)Instructions burned: 295 (million)
% 6.50/7.03 % (1175522)Instruction limit reached!
% 6.50/7.03 % (1175522)------------------------------
% 6.50/7.03 % (1175522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/7.03 % (1175522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/7.03 % (1175522)CaDiCaL version: 2.1.3
% 6.50/7.03 % (1175522)Termination reason: Instruction limit
% 6.50/7.03 % (1175522)Termination phase: Saturation
% 6.50/7.03 % (1175522)Time elapsed: 0.226 s
% 6.50/7.03 % (1175522)Peak memory usage: 93 MB
% 6.50/7.03 % (1175522)Instructions burned: 325 (million)
% 6.50/7.03 % (1175529)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=588334325:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.50/7.03 % (1175531)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2599521936:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.50/7.03 % (1175532)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3045233806:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.50/7.03 % (1175533)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=493953511:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.50/7.03 % (1175532)Instruction limit reached!
% 6.50/7.03 % (1175532)------------------------------
% 6.50/7.03 % (1175532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/7.03 % (1175532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/7.03 % (1175532)CaDiCaL version: 2.1.3
% 6.50/7.03 % (1175532)Termination reason: Instruction limit
% 6.50/7.03 % (1175532)Termination phase: Saturation
% 6.50/7.03 % (1175532)Time elapsed: 0.035 s
% 6.50/7.03 % (1175532)Peak memory usage: 89 MB
% 6.50/7.03 % (1175532)Instructions burned: 128 (million)
% 6.50/7.03 % (1175531)Instruction limit reached!
% 6.50/7.03 % (1175531)------------------------------
% 6.50/7.03 % (1175531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/7.03 % (1175531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/7.03 % (1175531)CaDiCaL version: 2.1.3
% 6.50/7.03 % (1175531)Termination reason: Instruction limit
% 6.50/7.03 % (1175531)Termination phase: Saturation
% 6.50/7.03 % (1175531)Time elapsed: 0.068 s
% 6.50/7.03 % (1175531)Peak memory usage: 89 MB
% 6.50/7.03 % (1175531)Instructions burned: 113 (million)
% 6.50/7.03 % (1175533)Instruction limit reached!
% 6.50/7.03 % (1175533)------------------------------
% 6.50/7.03 % (1175533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/7.03 % (1175533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/7.03 % (1175533)CaDiCaL version: 2.1.3
% 6.50/7.03 % (1175533)Termination reason: Instruction limit
% 6.50/7.03 % (1175533)Termination phase: Saturation
% 6.50/7.03 % (1175533)Time elapsed: 0.071 s
% 6.50/7.03 % (1175533)Peak memory usage: 89 MB
% 6.50/7.03 % (1175533)Instructions burned: 115 (million)
% 6.50/7.03 % (1175506)First to succeed.
% 6.50/7.03 % (1175506)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1175501"
% 6.50/7.03 % (1175538)lrs+10_1_sil=8000:sp=occurrence:random_seed=2334495308:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.50/7.03 % (1175508)Also succeeded, but the first one will report.
% 6.50/7.03 % (1175539)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2397945441:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.50/7.03 % (1175540)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1794089353:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.50/7.03 % (1175506)Refutation found. Thanks to Tanya!
% 6.50/7.03 % SZS status Theorem for theBenchmark
% 6.50/7.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.75/7.23 % (1175506)------------------------------
% 8.75/7.23 % (1175506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/7.23 % (1175506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/7.23 % (1175506)CaDiCaL version: 2.1.3
% 8.75/7.23 % (1175506)Termination reason: Refutation
% 8.75/7.23 % (1175506)Time elapsed: 0.719 s
% 8.75/7.23 % (1175506)Peak memory usage: 131 MB
% 8.75/7.23 % (1175506)Instructions burned: 1082 (million)
% 8.75/7.23 % (1175506)------------------------------
% 8.75/7.23 % (1175506)------------------------------
% 8.75/7.23 % (1175501)Success in time 1.156 s
% 8.75/7.23 % Vampire exiting
%------------------------------------------------------------------------------