%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM023+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 09:39:25 AM UTC 2026
% Result : Theorem 2.99s 1.10s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 65 ( 16 unt; 5 def)
% Number of atoms : 279 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 368 ( 154 ~; 154 |; 49 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-3 aty)
% Number of variables : 93 ( 0 sgn 78 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aRewritingSystem0(X0)
=> ( isConfluent0(X0)
<=> ! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& sdtmndtasgtdt0(X1,X0,X2)
& sdtmndtasgtdt0(X1,X0,X3) )
=> ? [X4] :
( aElement0(X4)
& sdtmndtasgtdt0(X2,X0,X4)
& sdtmndtasgtdt0(X3,X0,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCRDef) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2)
& sdtmndtasgtdt0(X0,xR,X1)
& sdtmndtasgtdt0(X0,xR,X2) )
=> ? [X3] :
( aElement0(X3)
& sdtmndtasgtdt0(X1,xR,X3)
& sdtmndtasgtdt0(X2,xR,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).
fof(f18,conjecture,
isConfluent0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f19,negated_conjecture,
~ isConfluent0(xR),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
~ isConfluent0(xR),
inference(flattening,[],[f19]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ? [X3] :
( aElement0(X3)
& sdtmndtasgtdt0(X1,xR,X3)
& sdtmndtasgtdt0(X2,xR,X3) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ? [X3] :
( aElement0(X3)
& sdtmndtasgtdt0(X1,xR,X3)
& sdtmndtasgtdt0(X2,xR,X3) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2) ),
inference(flattening,[],[f24]) ).
fof(f30,plain,
! [X0] :
( ( isConfluent0(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( aElement0(X4)
& sdtmndtasgtdt0(X2,X0,X4)
& sdtmndtasgtdt0(X3,X0,X4) )
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ sdtmndtasgtdt0(X1,X0,X3) ) )
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0] :
( ( isConfluent0(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( aElement0(X4)
& sdtmndtasgtdt0(X2,X0,X4)
& sdtmndtasgtdt0(X3,X0,X4) )
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ sdtmndtasgtdt0(X1,X0,X3) ) )
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f30]) ).
fof(f35,definition,
! [X0] :
( sP2(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( aElement0(X4)
& sdtmndtasgtdt0(X2,X0,X4)
& sdtmndtasgtdt0(X3,X0,X4) )
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ sdtmndtasgtdt0(X1,X0,X3) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f36,definition,
! [X0] :
( ( isConfluent0(X0)
<=> sP2(X0) )
| ~ sP3(X0) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f37,plain,
! [X0] :
( sP3(X0)
| ~ aRewritingSystem0(X0) ),
inference(definition_folding,[],[f31,f36,f35]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( aElement0(sK4(X1,X2))
& sdtmndtasgtdt0(X1,xR,sK4(X1,X2))
& sdtmndtasgtdt0(X2,xR,sK4(X1,X2)) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X1,X2))],[f25]) ).
fof(f43,plain,
! [X0] :
( ( ( isConfluent0(X0)
| ~ sP2(X0) )
& ( sP2(X0)
| ~ isConfluent0(X0) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f36]) ).
fof(f44,plain,
! [X0] :
( ( sP2(X0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ sdtmndtasgtdt0(X3,X0,X4) )
& aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& sdtmndtasgtdt0(X1,X0,X2)
& sdtmndtasgtdt0(X1,X0,X3) ) )
& ( ! [X1,X2,X3] :
( ? [X4] :
( aElement0(X4)
& sdtmndtasgtdt0(X2,X0,X4)
& sdtmndtasgtdt0(X3,X0,X4) )
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ sdtmndtasgtdt0(X1,X0,X3) )
| ~ sP2(X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f45,plain,
! [X0] :
( ( sP2(X0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ sdtmndtasgtdt0(X3,X0,X4) )
& aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& sdtmndtasgtdt0(X1,X0,X2)
& sdtmndtasgtdt0(X1,X0,X3) ) )
& ( ! [X5,X6,X7] :
( ? [X8] :
( aElement0(X8)
& sdtmndtasgtdt0(X6,X0,X8)
& sdtmndtasgtdt0(X7,X0,X8) )
| ~ aElement0(X5)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ sdtmndtasgtdt0(X5,X0,X6)
| ~ sdtmndtasgtdt0(X5,X0,X7) )
| ~ sP2(X0) ) ),
inference(rectify,[],[f44]) ).
fof(f46,plain,
! [X0] :
( ( sP2(X0)
| ( ! [X4] :
( ~ aElement0(X4)
| ~ sdtmndtasgtdt0(sK10(X0),X0,X4)
| ~ sdtmndtasgtdt0(sK11(X0),X0,X4) )
& aElement0(sK9(X0))
& aElement0(sK10(X0))
& aElement0(sK11(X0))
& sdtmndtasgtdt0(sK9(X0),X0,sK10(X0))
& sdtmndtasgtdt0(sK9(X0),X0,sK11(X0)) ) )
& ( ! [X5,X6,X7] :
( ( aElement0(sK12(X0,X6,X7))
& sdtmndtasgtdt0(X6,X0,sK12(X0,X6,X7))
& sdtmndtasgtdt0(X7,X0,sK12(X0,X6,X7)) )
| ~ aElement0(X5)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ sdtmndtasgtdt0(X5,X0,X6)
| ~ sdtmndtasgtdt0(X5,X0,X7) )
| ~ sP2(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12]),skolemize(X1,sK9(X0)),skolemize(X2,sK10(X0)),skolemize(X3,sK11(X0)),skolemize(X8,sK12(X0,X6,X7))],[f45]) ).
fof(f47,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f49,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X2,xR,sK4(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f50,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X1,xR,sK4(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| aElement0(sK4(X1,X2)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f52,plain,
~ isConfluent0(xR),
inference(cnf_transformation,[],[f20]) ).
fof(f67,plain,
! [X0] :
( ~ sP3(X0)
| ~ sP2(X0)
| isConfluent0(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f71,plain,
! [X0] :
( sdtmndtasgtdt0(sK9(X0),X0,sK11(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f72,plain,
! [X0] :
( sdtmndtasgtdt0(sK9(X0),X0,sK10(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f73,plain,
! [X0] :
( aElement0(sK11(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f74,plain,
! [X0] :
( aElement0(sK10(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f75,plain,
! [X0] :
( aElement0(sK9(X0))
| sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f76,plain,
! [X0,X4] :
( ~ sdtmndtasgtdt0(sK11(X0),X0,X4)
| ~ aElement0(X4)
| ~ sdtmndtasgtdt0(sK10(X0),X0,X4)
| sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f77,plain,
! [X0] :
( ~ aRewritingSystem0(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f78,plain,
sP3(xR),
inference(resolution,[],[f47,f77]) ).
fof(f79,plain,
( ~ sP2(xR)
| isConfluent0(xR) ),
inference(resolution,[],[f78,f67]) ).
fof(f80,plain,
~ sP2(xR),
inference(forward_subsumption_resolution,[],[f79,f52]) ).
fof(f95,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(sK11(xR))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,sK11(xR))
| ~ aElement0(sK4(X1,sK11(xR)))
| ~ sdtmndtasgtdt0(sK10(xR),xR,sK4(X1,sK11(xR)))
| sP2(xR) ),
inference(resolution,[],[f49,f76]) ).
fof(f98,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(sK11(xR))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,sK11(xR))
| ~ sdtmndtasgtdt0(sK10(xR),xR,sK4(X1,sK11(xR)))
| sP2(xR) ),
inference(forward_subsumption_resolution,[],[f95,f51]) ).
fof(f101,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,sK11(xR))
| ~ sdtmndtasgtdt0(sK10(xR),xR,sK4(X1,sK11(xR)))
| sP2(xR) ),
inference(forward_subsumption_resolution,[],[f98,f73]) ).
fof(f103,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(sK10(xR),xR,sK4(X1,sK11(xR)))
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ sdtmndtasgtdt0(X0,xR,sK11(xR))
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f101,f80]) ).
fof(f153,plain,
! [X0,X1] :
( ~ aElement0(sK10(xR))
| ~ sdtmndtasgtdt0(X0,xR,sK10(xR))
| ~ sdtmndtasgtdt0(X0,xR,sK11(xR))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(sK10(xR))
| ~ aElement0(sK11(xR))
| ~ sdtmndtasgtdt0(X1,xR,sK10(xR))
| ~ sdtmndtasgtdt0(X1,xR,sK11(xR)) ),
inference(resolution,[],[f103,f50]) ).
fof(f154,plain,
! [X0,X1] :
( ~ aElement0(sK10(xR))
| ~ sdtmndtasgtdt0(X0,xR,sK10(xR))
| ~ sdtmndtasgtdt0(X0,xR,sK11(xR))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(sK11(xR))
| ~ sdtmndtasgtdt0(X1,xR,sK10(xR))
| ~ sdtmndtasgtdt0(X1,xR,sK11(xR)) ),
inference(duplicate_literal_removal,[],[f153]) ).
fof(f156,definition,
( spl13_3
<=> aElement0(sK11(xR)) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f158,plain,
( ~ aElement0(sK11(xR))
| spl13_3 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f160,definition,
( spl13_4
<=> ! [X1] :
( ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,xR,sK11(xR))
| ~ sdtmndtasgtdt0(X1,xR,sK10(xR)) ) ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
fof(f161,plain,
( ! [X1] :
( ~ sdtmndtasgtdt0(X1,xR,sK11(xR))
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,xR,sK10(xR)) )
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f163,definition,
( spl13_5
<=> aElement0(sK10(xR)) ),
introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).
fof(f165,plain,
( ~ aElement0(sK10(xR))
| spl13_5 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f166,plain,
( ~ spl13_3
| spl13_4
| spl13_4
| ~ spl13_5 ),
inference(avatar_split_clause,[],[f154,f163,f160,f160,f156]) ).
fof(f167,plain,
( sP2(xR)
| spl13_3 ),
inference(resolution,[],[f158,f73]) ).
fof(f168,plain,
( $false
| spl13_3 ),
inference(forward_subsumption_resolution,[],[f167,f80]) ).
fof(f169,plain,
spl13_3,
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f172,plain,
( sP2(xR)
| spl13_5 ),
inference(resolution,[],[f165,f74]) ).
fof(f173,plain,
( $false
| spl13_5 ),
inference(forward_subsumption_resolution,[],[f172,f80]) ).
fof(f174,plain,
spl13_5,
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f229,plain,
( ~ aElement0(sK9(xR))
| ~ sdtmndtasgtdt0(sK9(xR),xR,sK10(xR))
| sP2(xR)
| ~ spl13_4 ),
inference(resolution,[],[f161,f71]) ).
fof(f230,plain,
( ~ sdtmndtasgtdt0(sK9(xR),xR,sK10(xR))
| sP2(xR)
| ~ spl13_4 ),
inference(forward_subsumption_resolution,[],[f229,f75]) ).
fof(f231,plain,
( sP2(xR)
| ~ spl13_4 ),
inference(forward_subsumption_resolution,[],[f230,f72]) ).
fof(f232,plain,
( $false
| ~ spl13_4 ),
inference(forward_subsumption_resolution,[],[f231,f80]) ).
fof(f233,plain,
~ spl13_4,
inference(avatar_contradiction_clause,[],[f232]) ).
cnf(s3,plain,
( spl13_4
| ~ spl13_3
| spl13_4
| ~ spl13_5 ),
inference(sat_conversion,[],[f166]) ).
cnf(s4,plain,
( ~ spl13_3
| spl13_4
| ~ spl13_5 ),
inference(rat,[],[s3]) ).
cnf(s5,plain,
spl13_3,
inference(sat_conversion,[],[f169]) ).
cnf(s6,plain,
spl13_5,
inference(sat_conversion,[],[f174]) ).
cnf(s8,plain,
~ spl13_4,
inference(sat_conversion,[],[f233]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s4,s6,s8,s5]) ).
fof(f234,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM023+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n019.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 21:49:03 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 2.99/1.10 % (309369)Detected formulas, will run a generic FOF schedule.
% 2.99/1.10 % (309376)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=1642910480:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.99/1.10 % (309374)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=4063322350:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.99/1.10 % (309377)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1919219976:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.99/1.10 % (309375)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=3768846227:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.99/1.10 % (309377)First to succeed.
% 2.99/1.10 % (309377)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-309369"
% 2.99/1.10 % (309378)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3424860176:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.99/1.10 % (309379)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3821486175:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.99/1.10 % (309380)dis-21_1_sil=8000:lcm=predicate:random_seed=1915419474: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)
% 2.99/1.10 % (309378)Also succeeded, but the first one will report.
% 2.99/1.10 % (309380)Also succeeded, but the first one will report.
% 2.99/1.10 % (309379)Instruction limit reached!
% 2.99/1.10 % (309379)------------------------------
% 2.99/1.10 % (309379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.10 % (309379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.10 % (309379)CaDiCaL version: 2.1.3
% 2.99/1.10 % (309379)Termination reason: Instruction limit
% 2.99/1.10 % (309379)Termination phase: Saturation
% 2.99/1.10 % (309379)Time elapsed: 0.094 s
% 2.99/1.10 % (309379)Peak memory usage: 90 MB
% 2.99/1.10 % (309379)Instructions burned: 140 (million)
% 2.99/1.10 % (309377)Refutation found. Thanks to Tanya!
% 2.99/1.10 % SZS status Theorem for theBenchmark
% 2.99/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.20 % (309377)------------------------------
% 3.64/1.20 % (309377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.20 % (309377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.20 % (309377)CaDiCaL version: 2.1.3
% 3.64/1.20 % (309377)Termination reason: Refutation
% 3.64/1.20 % (309377)Time elapsed: 0.008 s
% 3.64/1.20 % (309377)Peak memory usage: 89 MB
% 3.64/1.20 % (309377)Instructions burned: 9 (million)
% 3.64/1.20 % (309377)------------------------------
% 3.64/1.20 % (309377)------------------------------
% 3.64/1.20 % (309369)Success in time 0.43 s
% 3.64/1.20 % Vampire exiting
%------------------------------------------------------------------------------