%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM021+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 : n013.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 2.71s 1.09s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 69 ( 18 unt; 2 def)
% Number of atoms : 299 ( 14 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 399 ( 169 ~; 163 |; 53 &)
% ( 11 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 108 ( 0 sgn 98 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aRewritingSystem0(X1)
& aElement0(X2) )
=> ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aRewritingSystem0(X1)
& aElement0(X2) )
=> ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).
fof(f13,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aRewritingSystem0(X1) )
=> ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ~ ? [X3] : aReductOfIn0(X3,X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(f22,axiom,
( aElement0(xw)
& sdtmndtasgtdt0(xu,xR,xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
fof(f23,axiom,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
fof(f24,axiom,
( aElement0(xx)
& sdtmndtasgtdt0(xb,xR,xx)
& sdtmndtasgtdt0(xd,xR,xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__850) ).
fof(f25,conjecture,
sdtmndtasgtdt0(xb,xR,xd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f26,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f31,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(flattening,[],[f26]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) ) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) ) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f34]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f38]) ).
fof(f48,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f49,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f48]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ~ aReductOfIn0(X2,X0,X1)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X0,X1)
| ~ sdtmndtplgtdt0(X3,X1,X2) ) ) )
& ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) )
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(nnf_transformation,[],[f35]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ~ aReductOfIn0(X2,X0,X1)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X0,X1)
| ~ sdtmndtplgtdt0(X3,X1,X2) ) ) )
& ( aReductOfIn0(X2,X0,X1)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,X1)
& sdtmndtplgtdt0(X3,X1,X2) )
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ~ aReductOfIn0(X2,X0,X1)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X0,X1)
| ~ sdtmndtplgtdt0(X3,X1,X2) ) ) )
& ( aReductOfIn0(X2,X0,X1)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X0,X1)
& sdtmndtplgtdt0(X4,X1,X2) )
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(rectify,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ~ aReductOfIn0(X2,X0,X1)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X0,X1)
| ~ sdtmndtplgtdt0(X3,X1,X2) ) ) )
& ( aReductOfIn0(X2,X0,X1)
| ( aElement0(sK4(X0,X1,X2))
& aReductOfIn0(sK4(X0,X1,X2),X0,X1)
& sdtmndtplgtdt0(sK4(X0,X1,X2),X1,X2) )
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X4,sK4(X0,X1,X2))],[f62]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( X0 != X2
& ~ sdtmndtplgtdt0(X0,X1,X2) ) )
& ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(nnf_transformation,[],[f39]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( X0 != X2
& ~ sdtmndtplgtdt0(X0,X1,X2) ) )
& ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f64]) ).
fof(f77,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ? [X3] : aReductOfIn0(X3,X2,X1) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(nnf_transformation,[],[f49]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ? [X3] : aReductOfIn0(X3,X2,X1) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ? [X3] : aReductOfIn0(X3,X2,X1) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X4] : ~ aReductOfIn0(X4,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(rectify,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| aReductOfIn0(sK15(X1,X2),X2,X1) )
& ( ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ! [X4] : ~ aReductOfIn0(X4,X2,X1) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X3,sK15(X1,X2))],[f79]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X1)
| aReductOfIn0(sK4(X0,X1,X2),X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| aReductOfIn0(X2,X0,X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f90,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f123,plain,
! [X2,X0,X1,X4] :
( ~ aRewritingSystem0(X1)
| ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(X4,X2,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f125,plain,
! [X2,X0,X1] :
( aElement0(X2)
| ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f128,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f147,plain,
aElement0(xw),
inference(cnf_transformation,[],[f22]) ).
fof(f148,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(cnf_transformation,[],[f23]) ).
fof(f149,plain,
sdtmndtasgtdt0(xd,xR,xx),
inference(cnf_transformation,[],[f24]) ).
fof(f150,plain,
sdtmndtasgtdt0(xb,xR,xx),
inference(cnf_transformation,[],[f24]) ).
fof(f151,plain,
aElement0(xx),
inference(cnf_transformation,[],[f24]) ).
fof(f152,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(cnf_transformation,[],[f31]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X0,X1,xR)
| ~ aElement0(X1)
| ~ aReductOfIn0(X2,X0,xR) ),
inference(resolution,[],[f123,f128]) ).
fof(f159,plain,
! [X0] :
( ~ aElement0(xw)
| ~ aReductOfIn0(X0,xd,xR) ),
inference(resolution,[],[f155,f148]) ).
fof(f160,plain,
! [X0] : ~ aReductOfIn0(X0,xd,xR),
inference(forward_subsumption_resolution,[],[f159,f147]) ).
fof(f167,definition,
( spl18_2
<=> aElement0(xd) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f168,plain,
( aElement0(xd)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f169,plain,
( ~ aElement0(xd)
| spl18_2 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f173,plain,
( ! [X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aNormalFormOfIn0(xd,X0,X1) )
| spl18_2 ),
inference(resolution,[],[f169,f125]) ).
fof(f188,plain,
( ! [X0] :
( ~ aNormalFormOfIn0(xd,X0,xR)
| ~ aElement0(X0) )
| spl18_2 ),
inference(resolution,[],[f173,f128]) ).
fof(f190,plain,
( ~ aElement0(xw)
| spl18_2 ),
inference(resolution,[],[f188,f148]) ).
fof(f191,plain,
( $false
| spl18_2 ),
inference(forward_subsumption_resolution,[],[f190,f147]) ).
fof(f192,plain,
spl18_2,
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f237,plain,
! [X0,X1] :
( aReductOfIn0(sK4(X0,xR,X1),X0,xR)
| ~ sdtmndtplgtdt0(X0,xR,X1)
| ~ aElement0(X0)
| aReductOfIn0(X1,X0,xR)
| ~ aElement0(X1) ),
inference(resolution,[],[f85,f128]) ).
fof(f332,plain,
! [X0] :
( ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aElement0(xd)
| aReductOfIn0(X0,xd,xR)
| ~ aElement0(X0) ),
inference(resolution,[],[f237,f160]) ).
fof(f337,plain,
! [X0] :
( ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aElement0(xd)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[],[f332,f160]) ).
fof(f339,definition,
( spl18_20
<=> ! [X0] :
( ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_20])],[avatar_definition]) ).
fof(f340,plain,
( ! [X0] :
( ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aElement0(X0) )
| ~ spl18_20 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f341,plain,
( ~ spl18_2
| spl18_20 ),
inference(avatar_split_clause,[],[f337,f339,f167]) ).
fof(f422,plain,
( ! [X0] :
( ~ aElement0(X0)
| xd = X0
| ~ sdtmndtasgtdt0(xd,xR,X0)
| ~ aElement0(xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0) )
| ~ spl18_20 ),
inference(resolution,[],[f340,f90]) ).
fof(f423,plain,
( ! [X0] :
( ~ aElement0(X0)
| xd = X0
| ~ sdtmndtasgtdt0(xd,xR,X0)
| ~ aElement0(xd)
| ~ aRewritingSystem0(xR) )
| ~ spl18_20 ),
inference(duplicate_literal_removal,[],[f422]) ).
fof(f426,plain,
( ! [X0] :
( ~ aElement0(X0)
| xd = X0
| ~ sdtmndtasgtdt0(xd,xR,X0)
| ~ aRewritingSystem0(xR) )
| ~ spl18_2
| ~ spl18_20 ),
inference(forward_subsumption_resolution,[],[f423,f168]) ).
fof(f428,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(xd,xR,X0)
| xd = X0
| ~ aElement0(X0) )
| ~ spl18_2
| ~ spl18_20 ),
inference(forward_subsumption_resolution,[],[f426,f128]) ).
fof(f669,plain,
( xd = xx
| ~ aElement0(xx)
| ~ spl18_2
| ~ spl18_20 ),
inference(resolution,[],[f428,f149]) ).
fof(f683,plain,
( xd = xx
| ~ spl18_2
| ~ spl18_20 ),
inference(forward_subsumption_resolution,[],[f669,f151]) ).
fof(f1453,plain,
( sdtmndtasgtdt0(xb,xR,xd)
| ~ spl18_2
| ~ spl18_20 ),
inference(superposition,[],[f150,f683]) ).
fof(f1456,plain,
( $false
| ~ spl18_2
| ~ spl18_20 ),
inference(forward_subsumption_resolution,[],[f1453,f152]) ).
fof(f1457,plain,
( ~ spl18_2
| ~ spl18_20 ),
inference(avatar_contradiction_clause,[],[f1456]) ).
cnf(s2,plain,
spl18_2,
inference(sat_conversion,[],[f192]) ).
cnf(s17,plain,
( ~ spl18_2
| spl18_20 ),
inference(sat_conversion,[],[f341]) ).
cnf(s86,plain,
( ~ spl18_2
| ~ spl18_20 ),
inference(sat_conversion,[],[f1457]) ).
cnf(s88,plain,
~ spl18_20,
inference(rat,[],[s86,s2]) ).
cnf(s89,plain,
$false,
inference(rat,[],[s17,s88,s2]) ).
fof(f1458,plain,
$false,
inference(avatar_sat_refutation,[],[s89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM021+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 21:46:06 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 2.71/1.09 % (1613555)Detected formulas, will run a generic FOF schedule.
% 2.71/1.09 % (1613648)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3342152234:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.71/1.09 % (1613648)First to succeed.
% 2.71/1.09 % (1613648)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1613555"
% 2.71/1.09 % (1613647)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3578814606:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.71/1.09 % (1613643)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=3219799180:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.71/1.09 % (1613646)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4204428759:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.71/1.09 % (1613645)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=3807812729:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.71/1.09 % (1613644)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=1220332411:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.71/1.09 % (1613649)dis-21_1_sil=8000:lcm=predicate:random_seed=86902986: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)
% 2.71/1.09 % (1613646)Instruction limit reached!
% 2.71/1.09 % (1613646)------------------------------
% 2.71/1.09 % (1613646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.09 % (1613646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.09 % (1613646)CaDiCaL version: 2.1.3
% 2.71/1.09 % (1613646)Termination reason: Instruction limit
% 2.71/1.09 % (1613646)Termination phase: Saturation
% 2.71/1.09 % (1613646)Time elapsed: 0.061 s
% 2.71/1.09 % (1613646)Peak memory usage: 89 MB
% 2.71/1.09 % (1613646)Instructions burned: 110 (million)
% 2.71/1.09 % (1613647)Instruction limit reached!
% 2.71/1.09 % (1613647)------------------------------
% 2.71/1.09 % (1613647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.09 % (1613647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.09 % (1613647)CaDiCaL version: 2.1.3
% 2.71/1.09 % (1613647)Termination reason: Instruction limit
% 2.71/1.09 % (1613647)Termination phase: Saturation
% 2.71/1.09 % (1613647)Time elapsed: 0.082 s
% 2.71/1.09 % (1613647)Peak memory usage: 88 MB
% 2.71/1.09 % (1613647)Instructions burned: 119 (million)
% 2.71/1.09 % (1613649)Instruction limit reached!
% 2.71/1.09 % (1613649)------------------------------
% 2.71/1.09 % (1613649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.09 % (1613649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.09 % (1613649)CaDiCaL version: 2.1.3
% 2.71/1.09 % (1613649)Termination reason: Instruction limit
% 2.71/1.09 % (1613649)Termination phase: Saturation
% 2.71/1.09 % (1613649)Time elapsed: 0.098 s
% 2.71/1.09 % (1613649)Peak memory usage: 89 MB
% 2.71/1.09 % (1613649)Instructions burned: 130 (million)
% 2.71/1.09 % (1613648)Refutation found. Thanks to Tanya!
% 2.71/1.09 % SZS status Theorem for theBenchmark
% 2.71/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 3.52/1.38 % (1613648)------------------------------
% 3.52/1.38 % (1613648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.38 % (1613648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.38 % (1613648)CaDiCaL version: 2.1.3
% 3.52/1.38 % (1613648)Termination reason: Refutation
% 3.52/1.38 % (1613648)Time elapsed: 0.018 s
% 3.52/1.38 % (1613648)Peak memory usage: 90 MB
% 3.52/1.38 % (1613648)Instructions burned: 44 (million)
% 3.52/1.38 % (1613648)------------------------------
% 3.52/1.38 % (1613648)------------------------------
% 3.52/1.38 % (1613555)Success in time 0.412 s
% 3.52/1.38 % Vampire exiting
%------------------------------------------------------------------------------