%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM465+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:15:18 PM UTC 2026
% Result : Theorem 0.25s 2.15s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 66 ( 12 unt; 5 def)
% Number of atoms : 173 ( 40 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 202 ( 95 ~; 74 |; 23 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 35 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f27,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__987) ).
fof(f28,axiom,
( xm != sz00
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sz10,X0) = xm )
& sdtlseqdt0(sz10,xm) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1007) ).
fof(f29,conjecture,
( xm != sz00
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = sdtasdt0(xn,xm) )
| sdtlseqdt0(xn,sdtasdt0(xn,xm)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f30,negated_conjecture,
~ ( xm != sz00
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = sdtasdt0(xn,xm) )
| sdtlseqdt0(xn,sdtasdt0(xn,xm)) ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f32,plain,
( ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sz10,X0) = xm )
& sdtlseqdt0(sz10,xm) )
| sz00 = xm ),
inference(ennf_transformation,[],[f28]) ).
fof(f33,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) != sdtasdt0(xn,xm) )
& ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
& xm != sz00 ),
inference(ennf_transformation,[],[f30]) ).
fof(f34,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) != sdtasdt0(xn,xm) )
& ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
& xm != sz00 ),
inference(flattening,[],[f33]) ).
fof(f40,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f66]) ).
fof(f71,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f72,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f74,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
( ( aNaturalNumber0(sK0)
& xm = sdtpldt0(sz10,sK0)
& sdtlseqdt0(sz10,xm) )
| sz00 = xm ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f32]) ).
fof(f79,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f27]) ).
fof(f82,plain,
( xm = sdtpldt0(sz10,sK0)
| sz00 = xm ),
inference(cnf_transformation,[],[f75]) ).
fof(f83,plain,
( aNaturalNumber0(sK0)
| sz00 = xm ),
inference(cnf_transformation,[],[f75]) ).
fof(f84,plain,
sz00 != xm,
inference(cnf_transformation,[],[f34]) ).
fof(f86,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xn,X0) != sdtasdt0(xn,xm) ),
inference(cnf_transformation,[],[f34]) ).
fof(f95,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f97,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f123,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f127,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f128,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f129,definition,
~ sP2(sdtasdt0(xn,xm)),
introduced(definition,[new_symbols(definition,[sP2])],[inequality_splitting_name_introduction]) ).
fof(f130,plain,
! [X0] :
( sP2(sdtpldt0(xn,X0))
| ~ aNaturalNumber0(X0) ),
inference(inequality_splitting,[],[f86,f129]) ).
fof(f131,definition,
~ sP3(sz00),
introduced(definition,[new_symbols(definition,[sP3])],[inequality_splitting_name_introduction]) ).
fof(f132,plain,
sP3(xm),
inference(inequality_splitting,[],[f84,f131]) ).
fof(f147,definition,
( spl9_1
<=> sz00 = xm ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f149,plain,
( sz00 = xm
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f156,definition,
( spl9_3
<=> xm = sdtpldt0(sz10,sK0) ),
introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).
fof(f158,plain,
( xm = sdtpldt0(sz10,sK0)
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f159,plain,
( spl9_1
| spl9_3 ),
inference(avatar_split_clause,[],[f82,f156,f147]) ).
fof(f161,definition,
( spl9_4
<=> aNaturalNumber0(sK0) ),
introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).
fof(f163,plain,
( aNaturalNumber0(sK0)
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f164,plain,
( spl9_1
| spl9_4 ),
inference(avatar_split_clause,[],[f83,f161,f147]) ).
fof(f631,plain,
( sP3(sz00)
| ~ spl9_1 ),
inference(superposition,[],[f132,f149]) ).
fof(f632,plain,
( $false
| ~ spl9_1 ),
inference(forward_subsumption_resolution,[],[f631,f131]) ).
fof(f633,plain,
~ spl9_1,
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f699,plain,
( ~ sP2(sdtasdt0(xn,sdtpldt0(sz10,sK0)))
| ~ spl9_3 ),
inference(superposition,[],[f129,f158]) ).
fof(f963,plain,
( ~ sP2(sdtpldt0(sdtasdt0(xn,sz10),sdtasdt0(xn,sK0)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0)
| ~ spl9_3 ),
inference(superposition,[],[f699,f123]) ).
fof(f966,plain,
( ~ sP2(sdtpldt0(sdtasdt0(xn,sz10),sdtasdt0(xn,sK0)))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sK0)
| ~ spl9_3 ),
inference(forward_subsumption_resolution,[],[f963,f79]) ).
fof(f969,plain,
( ~ sP2(sdtpldt0(sdtasdt0(xn,sz10),sdtasdt0(xn,sK0)))
| ~ aNaturalNumber0(sK0)
| ~ spl9_3 ),
inference(forward_subsumption_resolution,[],[f966,f97]) ).
fof(f972,plain,
( ~ sP2(sdtpldt0(sdtasdt0(xn,sz10),sdtasdt0(xn,sK0)))
| ~ spl9_3
| ~ spl9_4 ),
inference(forward_subsumption_resolution,[],[f969,f163]) ).
fof(f1074,plain,
( ~ sP2(sdtpldt0(xn,sdtasdt0(xn,sK0)))
| ~ aNaturalNumber0(xn)
| ~ spl9_3
| ~ spl9_4 ),
inference(superposition,[],[f972,f95]) ).
fof(f1085,plain,
( ~ sP2(sdtpldt0(xn,sdtasdt0(xn,sK0)))
| ~ spl9_3
| ~ spl9_4 ),
inference(forward_subsumption_resolution,[],[f1074,f79]) ).
fof(f1090,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,sK0))
| ~ spl9_3
| ~ spl9_4 ),
inference(resolution,[],[f1085,f130]) ).
fof(f1119,plain,
( ~ aNaturalNumber0(sdtasdt0(sK0,xn))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ spl9_3
| ~ spl9_4 ),
inference(superposition,[],[f1090,f127]) ).
fof(f1122,plain,
( ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn)
| ~ spl9_3
| ~ spl9_4 ),
inference(forward_subsumption_resolution,[],[f1119,f128]) ).
fof(f1125,plain,
( ~ aNaturalNumber0(xn)
| ~ spl9_3
| ~ spl9_4 ),
inference(forward_subsumption_resolution,[],[f1122,f163]) ).
fof(f1130,plain,
( $false
| ~ spl9_3
| ~ spl9_4 ),
inference(forward_subsumption_resolution,[],[f1125,f79]) ).
fof(f1131,plain,
( ~ spl9_3
| ~ spl9_4 ),
inference(avatar_contradiction_clause,[],[f1130]) ).
cnf(s2,plain,
( spl9_1
| spl9_3 ),
inference(sat_conversion,[],[f159]) ).
cnf(s3,plain,
( spl9_1
| spl9_4 ),
inference(sat_conversion,[],[f164]) ).
cnf(s25,plain,
~ spl9_1,
inference(sat_conversion,[],[f633]) ).
cnf(s43,plain,
( ~ spl9_3
| ~ spl9_4 ),
inference(sat_conversion,[],[f1131]) ).
cnf(s44,plain,
spl9_4,
inference(rat,[],[s3,s25]) ).
cnf(s45,plain,
~ spl9_3,
inference(rat,[],[s43,s44]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s2,s45,s25]) ).
fof(f1132,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM465+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n001.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 20:09:31 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 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
% 2.56/1.81 % (3918460)Detected formulas, will run a generic FOF schedule.
% 2.56/1.81 % (3918471)dis-21_1_sil=8000:lcm=predicate:random_seed=1773539382: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)
% 2.56/1.81 % (3918466)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=1976379782:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.56/1.81 % (3918471)Instruction limit reached!
% 2.56/1.81 % (3918471)------------------------------
% 2.56/1.81 % (3918471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.81 % (3918471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.81 % (3918471)CaDiCaL version: 2.1.3
% 2.56/1.81 % (3918471)Termination reason: Instruction limit
% 2.56/1.81 % (3918471)Termination phase: Saturation
% 2.56/1.81 % (3918471)Time elapsed: 0.064 s
% 2.56/1.81 % (3918471)Peak memory usage: 91 MB
% 2.56/1.81 % (3918471)Instructions burned: 134 (million)
% 2.56/1.81 % (3918465)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=727224888:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.56/1.81 % (3918469)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4012171162:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.56/1.81 % (3918467)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=2747889356:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.56/1.81 % (3918468)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3710036281:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.56/1.81 % (3918470)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3754882864:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.56/1.81 % (3918468)First to succeed.
% 2.56/1.81 % (3918468)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3918460"
% 2.56/1.81 % (3918469)Instruction limit reached!
% 2.56/1.81 % (3918469)------------------------------
% 2.56/1.81 % (3918469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.81 % (3918469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.81 % (3918469)CaDiCaL version: 2.1.3
% 2.56/1.81 % (3918469)Termination reason: Instruction limit
% 2.56/1.81 % (3918469)Termination phase: Saturation
% 2.56/1.81 % (3918469)Time elapsed: 0.111 s
% 2.56/1.81 % (3918469)Peak memory usage: 88 MB
% 2.56/1.81 % (3918469)Instructions burned: 120 (million)
% 2.56/1.81 % (3918476)lrs+10_1_sil=8000:sp=occurrence:random_seed=1855828691:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.56/1.81 % (3918470)Instruction limit reached!
% 2.56/1.81 % (3918470)------------------------------
% 2.56/1.81 % (3918470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.81 % (3918470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.81 % (3918470)CaDiCaL version: 2.1.3
% 2.56/1.81 % (3918470)Termination reason: Instruction limit
% 2.56/1.81 % (3918470)Termination phase: Saturation
% 2.56/1.81 % (3918470)Time elapsed: 0.140 s
% 2.56/1.81 % (3918470)Peak memory usage: 90 MB
% 2.56/1.81 % (3918470)Instructions burned: 139 (million)
% 2.56/1.81 % (3918482)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2965030138:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 2.56/1.81 % (3918476)Instruction limit reached!
% 2.56/1.81 % (3918476)------------------------------
% 2.56/1.81 % (3918476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.81 % (3918476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.81 % (3918476)CaDiCaL version: 2.1.3
% 2.56/1.81 % (3918476)Termination reason: Instruction limit
% 2.56/1.81 % (3918476)Termination phase: Saturation
% 2.56/1.81 % (3918476)Time elapsed: 0.223 s
% 2.56/1.81 % (3918476)Peak memory usage: 91 MB
% 2.56/1.81 % (3918476)Instructions burned: 285 (million)
% 2.56/1.81 % (3918482)Instruction limit reached!
% 2.56/1.81 % (3918482)------------------------------
% 2.56/1.81 % (3918482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.81 % (3918482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/2.15 % (3918482)CaDiCaL version: 2.1.3
% 0.25/2.15 % (3918482)Termination reason: Instruction limit
% 0.25/2.15 % (3918482)Termination phase: Saturation
% 0.25/2.15 % (3918482)Time elapsed: 0.072 s
% 0.25/2.15 % (3918482)Peak memory usage: 91 MB
% 0.25/2.15 % (3918482)Instructions burned: 157 (million)
% 0.25/2.15 % (3918468)Refutation found. Thanks to Tanya!
% 0.25/2.15 % SZS status Theorem for theBenchmark
% 0.25/2.15 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/2.15 % (3918468)------------------------------
% 0.25/2.15 % (3918468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.25/2.15 % (3918468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/2.15 % (3918468)CaDiCaL version: 2.1.3
% 0.25/2.15 % (3918468)Termination reason: Refutation
% 0.25/2.15 % (3918468)Time elapsed: 0.032 s
% 0.25/2.15 % (3918468)Peak memory usage: 90 MB
% 0.25/2.15 % (3918468)Instructions burned: 28 (million)
% 0.25/2.15 % (3918468)------------------------------
% 0.25/2.15 % (3918468)------------------------------
% 0.25/2.15 % (3918460)Success in time 0.743 s
% 0.25/2.15 % Vampire exiting
%------------------------------------------------------------------------------