%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU206+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 : n005.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 12:47:44 PM UTC 2026
% Result : Theorem 6.75s 2.00s
% Output : Refutation 8.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 74 ( 19 unt; 3 def)
% Number of atoms : 264 ( 44 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 316 ( 126 ~; 129 |; 42 &)
% ( 11 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-3 aty)
% Number of variables : 165 ( 146 !; 19 ?)
% 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(f11,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f23,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f29,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f31,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f125,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_image(X1,X0),relation_rng(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t144_relat_1) ).
fof(f127,conjecture,
! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f128,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
inference(negated_conjecture,[status(cth)],[f127]) ).
fof(f135,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f183,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f220,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f226,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f296,plain,
! [X0,X1] :
( subset(relation_image(X1,X0),relation_rng(X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f125]) ).
fof(f298,plain,
? [X0] :
( relation_rng(X0) != relation_image(X0,relation_dom(X0))
& relation(X0) ),
inference(ennf_transformation,[],[f128]) ).
fof(f304,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f305,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f304]) ).
fof(f373,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f374,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f373]) ).
fof(f383,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) ) )
& ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f220]) ).
fof(f384,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(ordered_pair(X5,X3),X0)
& in(X5,X1) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1) ) )
& ( ? [X8] :
( in(ordered_pair(X8,X6),X0)
& in(X8,X1) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f383]) ).
fof(f385,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ( ( ! [X4] :
( ~ in(ordered_pair(X4,sK6(X0,X1,X2)),X0)
| ~ in(X4,X1) )
| ~ in(sK6(X0,X1,X2),X2) )
& ( ( in(ordered_pair(sK7(X0,X1,X2),sK6(X0,X1,X2)),X0)
& in(sK7(X0,X1,X2),X1) )
| in(sK6(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1) ) )
& ( ( in(ordered_pair(sK8(X0,X1,X6),X6),X0)
& in(sK8(X0,X1,X6),X1) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X3,sK6(X0,X1,X2)),skolemize(X5,sK7(X0,X1,X2)),skolemize(X8,sK8(X0,X1,X6))],[f384]) ).
fof(f419,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,[],[f226]) ).
fof(f420,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,[],[f419]) ).
fof(f421,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK29(X0,X1),X1)
& in(sK29(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X2,sK29(X0,X1))],[f420]) ).
fof(f436,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f228]) ).
fof(f437,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f436]) ).
fof(f438,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK38(X0,X1)),X0)
| ~ in(sK38(X0,X1),X1) )
& ( in(ordered_pair(sK39(X0,X1),sK38(X0,X1)),X0)
| in(sK38(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK40(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39,sK40]),skolemize(X2,sK38(X0,X1)),skolemize(X4,sK39(X0,X1)),skolemize(X7,sK40(X0,X5))],[f437]) ).
fof(f472,plain,
( relation_rng(sK58) != relation_image(sK58,relation_dom(sK58))
& relation(sK58) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(X0,sK58)],[f298]) ).
fof(f508,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f374]) ).
fof(f523,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f385]) ).
fof(f580,plain,
! [X0,X1] :
( in(sK29(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f421]) ).
fof(f581,plain,
! [X0,X1] :
( ~ in(sK29(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f421]) ).
fof(f605,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK40(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f438]) ).
fof(f610,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f727,plain,
! [X0,X1] :
( subset(relation_image(X1,X0),relation_rng(X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f296]) ).
fof(f729,plain,
relation(sK58),
inference(cnf_transformation,[],[f472]) ).
fof(f730,plain,
relation_rng(sK58) != relation_image(sK58,relation_dom(sK58)),
inference(cnf_transformation,[],[f472]) ).
fof(f738,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f305]) ).
fof(f806,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f183]) ).
fof(f835,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f610,f806]) ).
fof(f857,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(unordered_pair(unordered_pair(X7,X6),unordered_pair(X7,X7)),X0)
| ~ in(X7,X1)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f523,f835]) ).
fof(f889,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK40(X0,X5),X5),unordered_pair(sK40(X0,X5),sK40(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f605,f835]) ).
fof(f929,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f738,f835]) ).
fof(f968,plain,
! [X0,X1,X6,X7] :
( ~ in(unordered_pair(unordered_pair(X7,X6),unordered_pair(X7,X7)),X0)
| in(X6,relation_image(X0,X1))
| ~ in(X7,X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f857]) ).
fof(f1011,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK40(X0,X5),X5),unordered_pair(sK40(X0,X5),sK40(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f889]) ).
fof(f1023,definition,
sF66 = relation_rng(sK58),
introduced(definition,[new_symbols(definition,[sF66])],[function_definition]) ).
fof(f1024,plain,
relation_rng(sK58) = sF66,
inference(reorient_equations,[],[f1023]) ).
fof(f1025,definition,
sF67 = relation_dom(sK58),
introduced(definition,[new_symbols(definition,[sF67])],[function_definition]) ).
fof(f1026,plain,
relation_dom(sK58) = sF67,
inference(reorient_equations,[],[f1025]) ).
fof(f1027,definition,
sF68 = relation_image(sK58,sF67),
introduced(definition,[new_symbols(definition,[sF68])],[function_definition]) ).
fof(f1028,plain,
relation_image(sK58,sF67) = sF68,
inference(reorient_equations,[],[f1027]) ).
fof(f1029,plain,
sF66 != sF68,
inference(definition_folding,[],[f730,f1028,f1026,f1024]) ).
fof(f1083,plain,
! [X2,X0,X1] :
( in(X0,relation_image(X1,X2))
| ~ in(sK40(X1,X0),X2)
| ~ relation(X1)
| ~ in(X0,relation_rng(X1))
| ~ relation(X1) ),
inference(resolution,[],[f968,f1011]) ).
fof(f1086,plain,
! [X2,X0,X1] :
( ~ in(sK40(X1,X0),X2)
| in(X0,relation_image(X1,X2))
| ~ relation(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(duplicate_literal_removal,[],[f1083]) ).
fof(f1102,plain,
( subset(sF68,relation_rng(sK58))
| ~ relation(sK58) ),
inference(superposition,[],[f727,f1028]) ).
fof(f1105,plain,
subset(sF68,relation_rng(sK58)),
inference(forward_subsumption_resolution,[],[f1102,f729]) ).
fof(f1106,plain,
subset(sF68,sF66),
inference(forward_demodulation,[],[f1105,f1024]) ).
fof(f1125,plain,
! [X0,X1] :
( in(sK40(X0,X1),relation_dom(X0))
| ~ relation(X0)
| ~ in(X1,relation_rng(X0))
| ~ relation(X0) ),
inference(resolution,[],[f929,f1011]) ).
fof(f1134,plain,
! [X0,X1] :
( in(sK40(X0,X1),relation_dom(X0))
| ~ relation(X0)
| ~ in(X1,relation_rng(X0)) ),
inference(duplicate_literal_removal,[],[f1125]) ).
fof(f1159,plain,
! [X0] :
( in(sK40(sK58,X0),sF67)
| ~ relation(sK58)
| ~ in(X0,relation_rng(sK58)) ),
inference(superposition,[],[f1134,f1026]) ).
fof(f1161,plain,
! [X0] :
( in(sK40(sK58,X0),sF67)
| ~ in(X0,relation_rng(sK58)) ),
inference(forward_subsumption_resolution,[],[f1159,f729]) ).
fof(f1162,plain,
! [X0] :
( in(sK40(sK58,X0),sF67)
| ~ in(X0,sF66) ),
inference(forward_demodulation,[],[f1161,f1024]) ).
fof(f1163,plain,
! [X0] :
( ~ in(X0,sF66)
| in(X0,relation_image(sK58,sF67))
| ~ relation(sK58)
| ~ in(X0,relation_rng(sK58)) ),
inference(resolution,[],[f1162,f1086]) ).
fof(f1164,plain,
! [X0] :
( ~ in(X0,sF66)
| in(X0,relation_image(sK58,sF67))
| ~ in(X0,relation_rng(sK58)) ),
inference(forward_subsumption_resolution,[],[f1163,f729]) ).
fof(f1165,plain,
! [X0] :
( in(X0,sF68)
| ~ in(X0,sF66)
| ~ in(X0,relation_rng(sK58)) ),
inference(forward_demodulation,[],[f1164,f1028]) ).
fof(f1166,plain,
! [X0] :
( ~ in(X0,sF66)
| in(X0,sF68)
| ~ in(X0,sF66) ),
inference(forward_demodulation,[],[f1165,f1024]) ).
fof(f1167,plain,
! [X0] :
( ~ in(X0,sF66)
| in(X0,sF68) ),
inference(duplicate_literal_removal,[],[f1166]) ).
fof(f1275,plain,
! [X0] :
( in(sK29(sF66,X0),sF68)
| subset(sF66,X0) ),
inference(resolution,[],[f580,f1167]) ).
fof(f1280,plain,
( ~ subset(sF66,sF68)
| sF66 = sF68 ),
inference(resolution,[],[f508,f1106]) ).
fof(f1281,plain,
~ subset(sF66,sF68),
inference(forward_subsumption_resolution,[],[f1280,f1029]) ).
fof(f1283,plain,
( subset(sF66,sF68)
| subset(sF66,sF68) ),
inference(resolution,[],[f581,f1275]) ).
fof(f1286,plain,
subset(sF66,sF68),
inference(duplicate_literal_removal,[],[f1283]) ).
fof(f1288,plain,
$false,
inference(forward_subsumption_resolution,[],[f1286,f1281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU206+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 28 04:02:47 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 6.75/2.00 % (422997)Detected formulas, will run a generic FOF schedule.
% 6.75/2.00 % (423007)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3875528164:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.75/2.00 % (423004)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=848795563:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.75/2.00 % (423003)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=1596087627:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.75/2.00 % (423008)dis-21_1_sil=8000:lcm=predicate:random_seed=4179614080: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)
% 6.75/2.00 % (423005)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2345157989:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.75/2.00 % (423002)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=3462830342:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.75/2.00 % (423006)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1317979584:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.75/2.00 % (423007)Instruction limit reached!
% 6.75/2.00 % (423007)------------------------------
% 6.75/2.00 % (423007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.00 % (423007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.00 % (423007)CaDiCaL version: 2.1.3
% 6.75/2.00 % (423007)Termination reason: Instruction limit
% 6.75/2.00 % (423007)Termination phase: Saturation
% 6.75/2.00 % (423007)Time elapsed: 0.050 s
% 6.75/2.00 % (423007)Peak memory usage: 90 MB
% 6.75/2.00 % (423007)Instructions burned: 140 (million)
% 6.75/2.00 % (423005)Instruction limit reached!
% 6.75/2.00 % (423005)------------------------------
% 6.75/2.00 % (423005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.00 % (423005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.00 % (423005)CaDiCaL version: 2.1.3
% 6.75/2.00 % (423005)Termination reason: Instruction limit
% 6.75/2.00 % (423005)Termination phase: Saturation
% 6.75/2.00 % (423005)Time elapsed: 0.073 s
% 6.75/2.00 % (423005)Peak memory usage: 90 MB
% 6.75/2.00 % (423005)Instructions burned: 109 (million)
% 6.75/2.00 % (423008)Instruction limit reached!
% 6.75/2.00 % (423008)------------------------------
% 6.75/2.00 % (423008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.00 % (423008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.00 % (423008)CaDiCaL version: 2.1.3
% 6.75/2.00 % (423008)Termination reason: Instruction limit
% 6.75/2.00 % (423008)Termination phase: Saturation
% 6.75/2.00 % (423008)Time elapsed: 0.077 s
% 6.75/2.00 % (423008)Peak memory usage: 89 MB
% 6.75/2.00 % (423008)Instructions burned: 129 (million)
% 6.75/2.00 % (423006)Instruction limit reached!
% 6.75/2.00 % (423006)------------------------------
% 6.75/2.00 % (423006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.00 % (423006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.00 % (423006)CaDiCaL version: 2.1.3
% 6.75/2.00 % (423006)Termination reason: Instruction limit
% 6.75/2.00 % (423006)Termination phase: Saturation
% 6.75/2.00 % (423006)Time elapsed: 0.082 s
% 6.75/2.00 % (423006)Peak memory usage: 89 MB
% 6.75/2.00 % (423006)Instructions burned: 120 (million)
% 6.75/2.00 % (423016)lrs+10_1_sil=8000:sp=occurrence:random_seed=975105352:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.75/2.00 % (423018)lrs+1011_1_sil=32000:sp=occurrence:random_seed=565443681:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.75/2.00 % (423017)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3075897617:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.75/2.00 % (423017)Refutation not found, incomplete strategy
% 6.75/2.00 % (423017)------------------------------
% 6.75/2.00 % (423017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.00 % (423017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.00 % (423017)CaDiCaL version: 2.1.3
% 6.75/2.00 % (423017)Termination reason: Refutation not found, incomplete strategy
% 6.75/2.00 % (423017)Time elapsed: 0.005 s
% 6.75/2.00 % (423017)Peak memory usage: 89 MB
% 6.75/2.00 % (423017)Instructions burned: 5 (million)
% 6.75/2.00 % (423016)Instruction limit reached!
% 6.75/2.00 % (423016)------------------------------
% 6.75/2.00 % (423016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.00 % (423016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.00 % (423016)CaDiCaL version: 2.1.3
% 6.75/2.00 % (423016)Termination reason: Instruction limit
% 6.75/2.00 % (423016)Termination phase: Saturation
% 6.75/2.00 % (423016)Time elapsed: 0.102 s
% 6.75/2.00 % (423016)Peak memory usage: 92 MB
% 6.75/2.00 % (423016)Instructions burned: 286 (million)
% 6.75/2.00 % (423019)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=2202360777:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.75/2.00 % (423023)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1586746663:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.75/2.00 % (423019)Instruction limit reached!
% 6.75/2.00 % (423019)------------------------------
% 6.75/2.00 % (423019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.00 % (423019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.00 % (423019)CaDiCaL version: 2.1.3
% 6.75/2.00 % (423019)Termination reason: Instruction limit
% 6.75/2.00 % (423019)Termination phase: Saturation
% 6.75/2.00 % (423019)Time elapsed: 0.142 s
% 6.75/2.00 % (423019)Peak memory usage: 92 MB
% 6.75/2.00 % (423019)Instructions burned: 248 (million)
% 6.75/2.00 % (423018)Instruction limit reached!
% 6.75/2.00 % (423018)------------------------------
% 6.75/2.00 % (423018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.00 % (423018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.00 % (423018)CaDiCaL version: 2.1.3
% 6.75/2.00 % (423018)Termination reason: Instruction limit
% 6.75/2.00 % (423018)Termination phase: Saturation
% 6.75/2.00 % (423018)Time elapsed: 0.224 s
% 6.75/2.00 % (423018)Peak memory usage: 93 MB
% 6.75/2.00 % (423018)Instructions burned: 326 (million)
% 6.75/2.00 % (423023)Instruction limit reached!
% 6.75/2.00 % (423023)------------------------------
% 6.75/2.00 % (423023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.00 % (423023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.00 % (423023)CaDiCaL version: 2.1.3
% 6.75/2.00 % (423023)Termination reason: Instruction limit
% 6.75/2.00 % (423023)Termination phase: Saturation
% 6.75/2.00 % (423023)Time elapsed: 0.097 s
% 6.75/2.00 % (423023)Peak memory usage: 90 MB
% 6.75/2.00 % (423023)Instructions burned: 297 (million)
% 6.75/2.00 % (423017)------------------------------
% 6.75/2.00 % (423017)------------------------------
% 6.75/2.00 % (423026)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=171314452:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.75/2.00 % (423028)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=959234640:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.75/2.00 % (423027)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2497452186:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.75/2.00 % (423028)Instruction limit reached!
% 6.75/2.00 % (423028)------------------------------
% 6.75/2.00 % (423028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.00 % (423028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.00 % (423028)CaDiCaL version: 2.1.3
% 6.75/2.00 % (423028)Termination reason: Instruction limit
% 6.75/2.00 % (423028)Termination phase: Saturation
% 6.75/2.00 % (423028)Time elapsed: 0.035 s
% 6.75/2.00 % (423028)Peak memory usage: 89 MB
% 6.75/2.00 % (423028)Instructions burned: 128 (million)
% 6.75/2.00 % (423029)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=193405037:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.75/2.00 % (423027)Instruction limit reached!
% 6.75/2.00 % (423027)------------------------------
% 6.75/2.00 % (423027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.00 % (423027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.00 % (423027)CaDiCaL version: 2.1.3
% 6.75/2.00 % (423027)Termination reason: Instruction limit
% 6.75/2.00 % (423027)Termination phase: Saturation
% 6.75/2.00 % (423027)Time elapsed: 0.069 s
% 6.75/2.00 % (423027)Peak memory usage: 89 MB
% 6.75/2.00 % (423027)Instructions burned: 114 (million)
% 6.75/2.00 % (423029)Instruction limit reached!
% 6.75/2.00 % (423029)------------------------------
% 6.75/2.00 % (423029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.75/2.00 % (423029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/2.00 % (423029)CaDiCaL version: 2.1.3
% 6.75/2.00 % (423029)Termination reason: Instruction limit
% 6.75/2.00 % (423029)Termination phase: Saturation
% 6.75/2.00 % (423029)Time elapsed: 0.067 s
% 6.75/2.00 % (423029)Peak memory usage: 89 MB
% 6.75/2.00 % (423029)Instructions burned: 115 (million)
% 6.75/2.00 % (423002)First to succeed.
% 6.75/2.00 % (423002)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-422997"
% 6.75/2.00 % (423033)lrs+10_1_sil=8000:sp=occurrence:random_seed=1886484616:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.75/2.00 % (423035)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=561311483:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.75/2.00 % (423036)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=573114641:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.75/2.00 % (423002)Refutation found. Thanks to Tanya!
% 6.75/2.00 % SZS status Theorem for theBenchmark
% 6.75/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 8.76/2.19 % (423002)------------------------------
% 8.76/2.19 % (423002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.19 % (423002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.19 % (423002)CaDiCaL version: 2.1.3
% 8.76/2.19 % (423002)Termination reason: Refutation
% 8.76/2.19 % (423002)Time elapsed: 0.727 s
% 8.76/2.19 % (423002)Peak memory usage: 132 MB
% 8.76/2.19 % (423002)Instructions burned: 1088 (million)
% 8.76/2.19 % (423002)------------------------------
% 8.76/2.19 % (423002)------------------------------
% 8.76/2.19 % (422997)Success in time 1.168 s
% 8.76/2.19 % Vampire exiting
%------------------------------------------------------------------------------