%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU166+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 : 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 12:47:32 PM UTC 2026
% Result : Theorem 3.22s 1.61s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 53 ( 7 unt; 2 def)
% Number of atoms : 175 ( 31 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 192 ( 70 ~; 80 |; 33 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 100 ( 0 sgn 83 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1,X2] :
( X2 = cartesian_product2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4,X5] :
( in(X4,X0)
& in(X5,X1)
& X3 = ordered_pair(X4,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
fof(f13,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f53,conjecture,
! [X0,X1,X2] :
( subset(X0,X1)
=> ( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2))
& subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_zfmisc_1) ).
fof(f54,negated_conjecture,
~ ! [X0,X1,X2] :
( subset(X0,X1)
=> ( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2))
& subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f107,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f120,plain,
? [X0,X1,X2] :
( ( ~ subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2))
| ~ subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1)) )
& subset(X0,X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ( X2 = cartesian_product2(X0,X1)
| ? [X3] :
( ( ! [X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X1)
| ordered_pair(X4,X5) != X3 )
| ~ in(X3,X2) )
& ( ? [X4,X5] :
( in(X4,X0)
& in(X5,X1)
& X3 = ordered_pair(X4,X5) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X1)
| ordered_pair(X4,X5) != X3 ) )
& ( ? [X4,X5] :
( in(X4,X0)
& in(X5,X1)
& X3 = ordered_pair(X4,X5) )
| ~ in(X3,X2) ) )
| cartesian_product2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f168,plain,
! [X0,X1,X2] :
( ( X2 = cartesian_product2(X0,X1)
| ? [X3] :
( ( ! [X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X1)
| ordered_pair(X4,X5) != X3 )
| ~ in(X3,X2) )
& ( ? [X6,X7] :
( in(X6,X0)
& in(X7,X1)
& ordered_pair(X6,X7) = X3 )
| in(X3,X2) ) ) )
& ( ! [X8] :
( ( in(X8,X2)
| ! [X9,X10] :
( ~ in(X9,X0)
| ~ in(X10,X1)
| ordered_pair(X9,X10) != X8 ) )
& ( ? [X11,X12] :
( in(X11,X0)
& in(X12,X1)
& ordered_pair(X11,X12) = X8 )
| ~ in(X8,X2) ) )
| cartesian_product2(X0,X1) != X2 ) ),
inference(rectify,[],[f167]) ).
fof(f169,plain,
! [X0,X1,X2] :
( ( X2 = cartesian_product2(X0,X1)
| ( ( ! [X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X1)
| ordered_pair(X4,X5) != sK5(X0,X1,X2) )
| ~ in(sK5(X0,X1,X2),X2) )
& ( ( in(sK6(X0,X1,X2),X0)
& in(sK7(X0,X1,X2),X1)
& sK5(X0,X1,X2) = ordered_pair(sK6(X0,X1,X2),sK7(X0,X1,X2)) )
| in(sK5(X0,X1,X2),X2) ) ) )
& ( ! [X8] :
( ( in(X8,X2)
| ! [X9,X10] :
( ~ in(X9,X0)
| ~ in(X10,X1)
| ordered_pair(X9,X10) != X8 ) )
& ( ( in(sK8(X0,X1,X8),X0)
& in(sK9(X0,X1,X8),X1)
& ordered_pair(sK8(X0,X1,X8),sK9(X0,X1,X8)) = X8 )
| ~ in(X8,X2) ) )
| cartesian_product2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9]),skolemize(X3,sK5(X0,X1,X2)),skolemize(X6,sK6(X0,X1,X2)),skolemize(X7,sK7(X0,X1,X2)),skolemize(X11,sK8(X0,X1,X8)),skolemize(X12,sK9(X0,X1,X8))],[f168]) ).
fof(f170,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,[],[f107]) ).
fof(f171,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,[],[f170]) ).
fof(f172,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK10(X0,X1),X1)
& in(sK10(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f171]) ).
fof(f195,plain,
( ( ~ subset(cartesian_product2(sK18,sK20),cartesian_product2(sK19,sK20))
| ~ subset(cartesian_product2(sK20,sK18),cartesian_product2(sK20,sK19)) )
& subset(sK18,sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20)],[f120]) ).
fof(f238,plain,
! [X2,X0,X1,X8] :
( cartesian_product2(X0,X1) != X2
| ~ in(X8,X2)
| ordered_pair(sK8(X0,X1,X8),sK9(X0,X1,X8)) = X8 ),
inference(cnf_transformation,[],[f169]) ).
fof(f239,plain,
! [X2,X0,X1,X8] :
( cartesian_product2(X0,X1) != X2
| ~ in(X8,X2)
| in(sK9(X0,X1,X8),X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f240,plain,
! [X2,X0,X1,X8] :
( cartesian_product2(X0,X1) != X2
| ~ in(X8,X2)
| in(sK8(X0,X1,X8),X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f241,plain,
! [X2,X10,X0,X1,X8,X9] :
( ordered_pair(X9,X10) != X8
| ~ in(X9,X0)
| ~ in(X10,X1)
| in(X8,X2)
| cartesian_product2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f169]) ).
fof(f246,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f247,plain,
! [X0,X1] :
( in(sK10(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f248,plain,
! [X0,X1] :
( ~ in(sK10(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f302,plain,
subset(sK18,sK19),
inference(cnf_transformation,[],[f195]) ).
fof(f303,plain,
( ~ subset(cartesian_product2(sK18,sK20),cartesian_product2(sK19,sK20))
| ~ subset(cartesian_product2(sK20,sK18),cartesian_product2(sK20,sK19)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f361,definition,
( spl24_1
<=> subset(cartesian_product2(sK20,sK18),cartesian_product2(sK20,sK19)) ),
introduced(definition,[new_symbols(definition,[spl24_1])],[avatar_definition]) ).
fof(f363,plain,
( ~ subset(cartesian_product2(sK20,sK18),cartesian_product2(sK20,sK19))
| spl24_1 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f365,definition,
( spl24_2
<=> subset(cartesian_product2(sK18,sK20),cartesian_product2(sK19,sK20)) ),
introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).
fof(f367,plain,
( ~ subset(cartesian_product2(sK18,sK20),cartesian_product2(sK19,sK20))
| spl24_2 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f368,plain,
( ~ spl24_1
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f303,f365,f361]) ).
fof(f371,plain,
( in(sK10(cartesian_product2(sK20,sK18),cartesian_product2(sK20,sK19)),cartesian_product2(sK20,sK18))
| spl24_1 ),
inference(unit_resulting_resolution,[],[f247,f363]) ).
fof(f372,plain,
( ~ in(sK10(cartesian_product2(sK20,sK18),cartesian_product2(sK20,sK19)),cartesian_product2(sK20,sK19))
| spl24_1 ),
inference(unit_resulting_resolution,[],[f248,f363]) ).
fof(f397,plain,
! [X2,X0,X1] :
( in(sK9(X1,X2,X0),X2)
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(equality_resolution,[],[f239]) ).
fof(f415,plain,
! [X2,X0,X1] :
( in(sK8(X1,X2,X0),X1)
| ~ in(X0,cartesian_product2(X1,X2)) ),
inference(equality_resolution,[],[f240]) ).
fof(f416,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X2))
| ordered_pair(sK8(X1,X2,X0),sK9(X1,X2,X0)) = X0 ),
inference(equality_resolution,[],[f238]) ).
fof(f448,plain,
( in(sK9(sK20,sK18,sK10(cartesian_product2(sK20,sK18),cartesian_product2(sK20,sK19))),sK18)
| spl24_1 ),
inference(unit_resulting_resolution,[],[f397,f371]) ).
fof(f450,plain,
( in(sK8(sK20,sK18,sK10(cartesian_product2(sK20,sK18),cartesian_product2(sK20,sK19))),sK20)
| spl24_1 ),
inference(unit_resulting_resolution,[],[f415,f371]) ).
fof(f457,plain,
( sK10(cartesian_product2(sK20,sK18),cartesian_product2(sK20,sK19)) = ordered_pair(sK8(sK20,sK18,sK10(cartesian_product2(sK20,sK18),cartesian_product2(sK20,sK19))),sK9(sK20,sK18,sK10(cartesian_product2(sK20,sK18),cartesian_product2(sK20,sK19))))
| spl24_1 ),
inference(unit_resulting_resolution,[],[f416,f371]) ).
fof(f474,plain,
( in(sK9(sK20,sK18,sK10(cartesian_product2(sK20,sK18),cartesian_product2(sK20,sK19))),sK19)
| spl24_1 ),
inference(unit_resulting_resolution,[],[f246,f302,f448]) ).
fof(f1365,plain,
( cartesian_product2(sK20,sK19) != cartesian_product2(sK20,sK19)
| spl24_1 ),
inference(unit_resulting_resolution,[],[f241,f372,f450,f457,f474]) ).
fof(f1389,plain,
( $false
| spl24_1 ),
inference(trivial_inequality_removal,[],[f1365]) ).
fof(f1390,plain,
spl24_1,
inference(avatar_contradiction_clause,[],[f1389]) ).
fof(f1395,plain,
( ~ in(sK10(cartesian_product2(sK18,sK20),cartesian_product2(sK19,sK20)),cartesian_product2(sK19,sK20))
| spl24_2 ),
inference(unit_resulting_resolution,[],[f248,f367]) ).
fof(f1396,plain,
( in(sK10(cartesian_product2(sK18,sK20),cartesian_product2(sK19,sK20)),cartesian_product2(sK18,sK20))
| spl24_2 ),
inference(unit_resulting_resolution,[],[f247,f367]) ).
fof(f1436,plain,
( sK10(cartesian_product2(sK18,sK20),cartesian_product2(sK19,sK20)) = ordered_pair(sK8(sK18,sK20,sK10(cartesian_product2(sK18,sK20),cartesian_product2(sK19,sK20))),sK9(sK18,sK20,sK10(cartesian_product2(sK18,sK20),cartesian_product2(sK19,sK20))))
| spl24_2 ),
inference(unit_resulting_resolution,[],[f416,f1396]) ).
fof(f1437,plain,
( in(sK8(sK18,sK20,sK10(cartesian_product2(sK18,sK20),cartesian_product2(sK19,sK20))),sK18)
| spl24_2 ),
inference(unit_resulting_resolution,[],[f415,f1396]) ).
fof(f1438,plain,
( in(sK9(sK18,sK20,sK10(cartesian_product2(sK18,sK20),cartesian_product2(sK19,sK20))),sK20)
| spl24_2 ),
inference(unit_resulting_resolution,[],[f397,f1396]) ).
fof(f1557,plain,
( in(sK8(sK18,sK20,sK10(cartesian_product2(sK18,sK20),cartesian_product2(sK19,sK20))),sK19)
| spl24_2 ),
inference(unit_resulting_resolution,[],[f246,f302,f1437]) ).
fof(f2190,plain,
( cartesian_product2(sK19,sK20) != cartesian_product2(sK19,sK20)
| spl24_2 ),
inference(unit_resulting_resolution,[],[f241,f1395,f1438,f1436,f1557]) ).
fof(f2210,plain,
( $false
| spl24_2 ),
inference(trivial_inequality_removal,[],[f2190]) ).
fof(f2211,plain,
spl24_2,
inference(avatar_contradiction_clause,[],[f2210]) ).
cnf(s1,plain,
( ~ spl24_1
| ~ spl24_2 ),
inference(sat_conversion,[],[f368]) ).
cnf(s2,plain,
spl24_1,
inference(sat_conversion,[],[f1390]) ).
cnf(s3,plain,
spl24_2,
inference(sat_conversion,[],[f2211]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f2212,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU166+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 03:51:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.22/1.61 % (3002413)Detected formulas, will run a generic FOF schedule.
% 3.22/1.61 % (3002422)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1397582951:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.22/1.61 % (3002422)Instruction limit reached!
% 3.22/1.61 % (3002422)------------------------------
% 3.22/1.61 % (3002422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.61 % (3002422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.61 % (3002422)CaDiCaL version: 2.1.3
% 3.22/1.61 % (3002422)Termination reason: Instruction limit
% 3.22/1.61 % (3002422)Termination phase: Saturation
% 3.22/1.61 % (3002422)Time elapsed: 0.042 s
% 3.22/1.61 % (3002422)Peak memory usage: 89 MB
% 3.22/1.61 % (3002422)Instructions burned: 122 (million)
% 3.22/1.61 % (3002421)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3755993816:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.22/1.61 % (3002419)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=2470298100:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.22/1.61 % (3002418)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=1847385334:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.22/1.61 % (3002420)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=3328822799:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.22/1.61 % (3002423)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=600374866:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.22/1.61 % (3002424)dis-21_1_sil=8000:lcm=predicate:random_seed=137049144: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)
% 3.22/1.61 % (3002421)Instruction limit reached!
% 3.22/1.61 % (3002421)------------------------------
% 3.22/1.61 % (3002421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.61 % (3002421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.61 % (3002421)CaDiCaL version: 2.1.3
% 3.22/1.61 % (3002421)Termination reason: Instruction limit
% 3.22/1.61 % (3002421)Termination phase: Saturation
% 3.22/1.61 % (3002421)Time elapsed: 0.073 s
% 3.22/1.61 % (3002421)Peak memory usage: 89 MB
% 3.22/1.61 % (3002421)Instructions burned: 111 (million)
% 3.22/1.61 % (3002424)Instruction limit reached!
% 3.22/1.61 % (3002424)------------------------------
% 3.22/1.61 % (3002424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.61 % (3002424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.61 % (3002424)CaDiCaL version: 2.1.3
% 3.22/1.61 % (3002424)Termination reason: Instruction limit
% 3.22/1.61 % (3002424)Termination phase: Saturation
% 3.22/1.61 % (3002424)Time elapsed: 0.082 s
% 3.22/1.61 % (3002424)Peak memory usage: 89 MB
% 3.22/1.61 % (3002424)Instructions burned: 129 (million)
% 3.22/1.61 % (3002423)Instruction limit reached!
% 3.22/1.61 % (3002423)------------------------------
% 3.22/1.61 % (3002423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.61 % (3002423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.61 % (3002423)CaDiCaL version: 2.1.3
% 3.22/1.61 % (3002423)Termination reason: Instruction limit
% 3.22/1.61 % (3002423)Termination phase: Saturation
% 3.22/1.61 % (3002423)Time elapsed: 0.098 s
% 3.22/1.61 % (3002423)Peak memory usage: 90 MB
% 3.22/1.61 % (3002423)Instructions burned: 139 (million)
% 3.22/1.61 % (3002426)lrs+10_1_sil=8000:sp=occurrence:random_seed=2955627348:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.22/1.61 % (3002426)Instruction limit reached!
% 3.22/1.61 % (3002426)------------------------------
% 3.22/1.61 % (3002426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.61 % (3002426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.61 % (3002426)CaDiCaL version: 2.1.3
% 3.22/1.61 % (3002426)Termination reason: Instruction limit
% 3.22/1.61 % (3002426)Termination phase: Saturation
% 3.22/1.61 % (3002426)Time elapsed: 0.102 s
% 3.22/1.61 % (3002426)Peak memory usage: 91 MB
% 3.22/1.61 % (3002426)Instructions burned: 286 (million)
% 3.22/1.61 % (3002433)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2023417474:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.22/1.61 % (3002433)Refutation not found, incomplete strategy
% 3.22/1.61 % (3002433)------------------------------
% 3.22/1.61 % (3002433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.61 % (3002433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.61 % (3002433)CaDiCaL version: 2.1.3
% 3.22/1.61 % (3002433)Termination reason: Refutation not found, incomplete strategy
% 3.22/1.61 % (3002433)Time elapsed: 0.003 s
% 3.22/1.61 % (3002433)Peak memory usage: 89 MB
% 3.22/1.61 % (3002433)Instructions burned: 2 (million)
% 3.22/1.61 % (3002434)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1391886523:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.22/1.61 % (3002436)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=389675583:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.22/1.61 % (3002436)First to succeed.
% 3.22/1.61 % (3002436)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3002413"
% 3.22/1.61 % (3002437)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2545009990:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.22/1.61 % (3002437)Instruction limit reached!
% 3.22/1.61 % (3002437)------------------------------
% 3.22/1.61 % (3002437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.61 % (3002437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.61 % (3002437)CaDiCaL version: 2.1.3
% 3.22/1.61 % (3002437)Termination reason: Instruction limit
% 3.22/1.61 % (3002437)Termination phase: Saturation
% 3.22/1.61 % (3002437)Time elapsed: 0.099 s
% 3.22/1.61 % (3002437)Peak memory usage: 90 MB
% 3.22/1.61 % (3002437)Instructions burned: 296 (million)
% 3.22/1.61 % (3002434)Instruction limit reached!
% 3.22/1.61 % (3002434)------------------------------
% 3.22/1.61 % (3002434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.61 % (3002434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.61 % (3002434)CaDiCaL version: 2.1.3
% 3.22/1.61 % (3002434)Termination reason: Instruction limit
% 3.22/1.61 % (3002434)Termination phase: Saturation
% 3.22/1.61 % (3002434)Time elapsed: 0.235 s
% 3.22/1.61 % (3002434)Peak memory usage: 92 MB
% 3.22/1.61 % (3002434)Instructions burned: 326 (million)
% 3.22/1.61 % (3002433)------------------------------
% 3.22/1.61 % (3002433)------------------------------
% 3.22/1.61 % (3002442)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2855634960:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 3.22/1.61 % (3002436)Refutation found. Thanks to Tanya!
% 3.22/1.61 % SZS status Theorem for theBenchmark
% 3.22/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.81 % (3002436)------------------------------
% 0.17/1.81 % (3002436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.81 % (3002436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.81 % (3002436)CaDiCaL version: 2.1.3
% 0.17/1.81 % (3002436)Termination reason: Refutation
% 0.17/1.81 % (3002436)Time elapsed: 0.057 s
% 0.17/1.81 % (3002436)Peak memory usage: 90 MB
% 0.17/1.81 % (3002436)Instructions burned: 93 (million)
% 0.17/1.81 % (3002436)------------------------------
% 0.17/1.81 % (3002436)------------------------------
% 0.17/1.81 % (3002413)Success in time 0.744 s
% 0.17/1.81 % Vampire exiting
%------------------------------------------------------------------------------