%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM459+2 : 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 : n020.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 12:15:16 PM UTC 2026
% Result : Theorem 4.24s 1.58s
% Output : Refutation 5.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 80 ( 19 unt; 2 def)
% Number of atoms : 239 ( 83 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 265 ( 106 ~; 98 |; 48 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 61 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtpldt0(X0,X1) = sz00
=> ( X0 = sz00
& X1 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f21,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__745) ).
fof(f22,conjecture,
( ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
& sdtlseqdt0(xm,xn)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xm )
& sdtlseqdt0(xn,xm) )
=> xm = xn ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f23,negated_conjecture,
~ ( ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
& sdtlseqdt0(xm,xn)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xn,X0) = xm )
& sdtlseqdt0(xn,xm) )
=> xm = xn ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f24,plain,
~ ( ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
& sdtlseqdt0(xm,xn)
& ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtpldt0(xn,X1) )
& sdtlseqdt0(xn,xm) )
=> xm = xn ),
inference(rectify,[],[f23]) ).
fof(f26,plain,
( xm != xn
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
& sdtlseqdt0(xm,xn)
& ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtpldt0(xn,X1) )
& sdtlseqdt0(xn,xm) ),
inference(ennf_transformation,[],[f24]) ).
fof(f27,plain,
( xm != xn
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
& sdtlseqdt0(xm,xn)
& ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtpldt0(xn,X1) )
& sdtlseqdt0(xn,xm) ),
inference(flattening,[],[f26]) ).
fof(f35,plain,
! [X0,X1] :
( ( X0 = sz00
& X1 = sz00 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f36,plain,
! [X0,X1] :
( ( X0 = sz00
& X1 = sz00 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f35]) ).
fof(f39,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f40,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f39]) ).
fof(f49,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f50,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f51,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f53,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f52]) ).
fof(f56,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f57,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
( xm != xn
& aNaturalNumber0(sK0)
& xn = sdtpldt0(xm,sK0)
& sdtlseqdt0(xm,xn)
& aNaturalNumber0(sK1)
& xm = sdtpldt0(xn,sK1)
& sdtlseqdt0(xn,xm) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f27]) ).
fof(f64,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f21]) ).
fof(f67,plain,
xm = sdtpldt0(xn,sK1),
inference(cnf_transformation,[],[f58]) ).
fof(f68,plain,
aNaturalNumber0(sK1),
inference(cnf_transformation,[],[f58]) ).
fof(f70,plain,
xn = sdtpldt0(xm,sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f71,plain,
aNaturalNumber0(sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f72,plain,
xm != xn,
inference(cnf_transformation,[],[f58]) ).
fof(f81,plain,
! [X0,X1] :
( sz00 != sdtpldt0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f86,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f96,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f98,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f100,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f103,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sK0,X0) = sdtpldt0(X0,sK0) ),
inference(resolution,[],[f98,f71]) ).
fof(f189,definition,
( spl3_1
<=> sz00 = sK1 ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f190,plain,
( sz00 != sK1
| spl3_1 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f191,plain,
( sz00 = sK1
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f290,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != X0
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f86,f96]) ).
fof(f298,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != X0
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00) ),
inference(duplicate_literal_removal,[],[f290]) ).
fof(f305,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != X0
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f298,f103]) ).
fof(f366,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sK0) = sdtpldt0(X0,sdtpldt0(X1,sK0)) ),
inference(resolution,[],[f97,f71]) ).
fof(f557,plain,
sdtpldt0(sK0,sK1) = sdtpldt0(sK1,sK0),
inference(resolution,[],[f147,f68]) ).
fof(f714,plain,
! [X0] :
( sdtpldt0(sdtpldt0(xn,X0),sK0) = sdtpldt0(xn,sdtpldt0(X0,sK0))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f366,f64]) ).
fof(f771,plain,
( xm = sdtpldt0(xn,sz00)
| ~ spl3_1 ),
inference(superposition,[],[f67,f191]) ).
fof(f802,plain,
( xm = xn
| ~ aNaturalNumber0(xn)
| ~ spl3_1 ),
inference(superposition,[],[f771,f96]) ).
fof(f816,plain,
( ~ aNaturalNumber0(xn)
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f802,f72]) ).
fof(f822,plain,
( $false
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f816,f64]) ).
fof(f823,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f822]) ).
fof(f1314,definition,
( spl3_23
<=> aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_23])],[avatar_definition]) ).
fof(f1315,plain,
( aNaturalNumber0(sdtpldt0(sK0,sK1))
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1316,plain,
( ~ aNaturalNumber0(sdtpldt0(sK0,sK1))
| spl3_23 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1363,plain,
( ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK1)
| spl3_23 ),
inference(resolution,[],[f1316,f100]) ).
fof(f1364,plain,
( ~ aNaturalNumber0(sK1)
| spl3_23 ),
inference(forward_subsumption_resolution,[],[f1363,f71]) ).
fof(f1365,plain,
( $false
| spl3_23 ),
inference(forward_subsumption_resolution,[],[f1364,f68]) ).
fof(f1366,plain,
spl3_23,
inference(avatar_contradiction_clause,[],[f1365]) ).
fof(f4528,plain,
( sdtpldt0(xm,sK0) = sdtpldt0(xn,sdtpldt0(sK1,sK0))
| ~ aNaturalNumber0(sK1) ),
inference(superposition,[],[f714,f67]) ).
fof(f4560,plain,
sdtpldt0(xm,sK0) = sdtpldt0(xn,sdtpldt0(sK1,sK0)),
inference(forward_subsumption_resolution,[],[f4528,f68]) ).
fof(f4567,plain,
sdtpldt0(xm,sK0) = sdtpldt0(xn,sdtpldt0(sK0,sK1)),
inference(forward_demodulation,[],[f4560,f557]) ).
fof(f4569,plain,
xn = sdtpldt0(xn,sdtpldt0(sK0,sK1)),
inference(forward_demodulation,[],[f4567,f70]) ).
fof(f4728,plain,
( xn != xn
| sz00 = sdtpldt0(sK0,sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(superposition,[],[f305,f4569]) ).
fof(f4729,plain,
( sz00 = sdtpldt0(sK0,sK1)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(trivial_inequality_removal,[],[f4728]) ).
fof(f4730,plain,
( sz00 = sdtpldt0(sK0,sK1)
| ~ aNaturalNumber0(sdtpldt0(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f4729,f64]) ).
fof(f4738,plain,
( sz00 = sdtpldt0(sK0,sK1)
| ~ spl3_23 ),
inference(forward_subsumption_resolution,[],[f4730,f1315]) ).
fof(f4805,plain,
( sz00 != sz00
| sz00 = sK1
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK1)
| ~ spl3_23 ),
inference(superposition,[],[f81,f4738]) ).
fof(f4817,plain,
( sz00 = sK1
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK1)
| ~ spl3_23 ),
inference(trivial_inequality_removal,[],[f4805]) ).
fof(f4826,plain,
( ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(sK1)
| spl3_1
| ~ spl3_23 ),
inference(forward_subsumption_resolution,[],[f4817,f190]) ).
fof(f4837,plain,
( ~ aNaturalNumber0(sK1)
| spl3_1
| ~ spl3_23 ),
inference(forward_subsumption_resolution,[],[f4826,f71]) ).
fof(f4852,plain,
( $false
| spl3_1
| ~ spl3_23 ),
inference(forward_subsumption_resolution,[],[f4837,f68]) ).
fof(f4853,plain,
( spl3_1
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f4852]) ).
cnf(s21,plain,
~ spl3_1,
inference(sat_conversion,[],[f823]) ).
cnf(s31,plain,
spl3_23,
inference(sat_conversion,[],[f1366]) ).
cnf(s82,plain,
( spl3_1
| ~ spl3_23 ),
inference(sat_conversion,[],[f4853]) ).
cnf(s101,plain,
spl3_1,
inference(rat,[],[s82,s31]) ).
cnf(s107,plain,
$false,
inference(rat,[],[s21,s101]) ).
fof(f4856,plain,
$false,
inference(avatar_sat_refutation,[],[s107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM459+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 20:01:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 4.24/1.58 % (3709019)Detected formulas, will run a generic FOF schedule.
% 4.24/1.58 % (3709024)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=3166351859:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.24/1.58 % (3709030)dis-21_1_sil=8000:lcm=predicate:random_seed=2118688907: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)
% 4.24/1.58 % (3709029)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4227757999:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.24/1.58 % (3709028)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1500862518:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.24/1.58 % (3709027)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=899821209:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.24/1.58 % (3709025)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=3618048776:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.24/1.58 % (3709026)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=731764659:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.24/1.58 % (3709027)Instruction limit reached!
% 4.24/1.58 % (3709027)------------------------------
% 4.24/1.58 % (3709027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.58 % (3709027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.58 % (3709027)CaDiCaL version: 2.1.3
% 4.24/1.58 % (3709027)Termination reason: Instruction limit
% 4.24/1.58 % (3709027)Termination phase: Saturation
% 4.24/1.58 % (3709027)Time elapsed: 0.066 s
% 4.24/1.58 % (3709027)Peak memory usage: 89 MB
% 4.24/1.58 % (3709027)Instructions burned: 110 (million)
% 4.24/1.58 % (3709028)Instruction limit reached!
% 4.24/1.58 % (3709028)------------------------------
% 4.24/1.58 % (3709028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.58 % (3709028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.58 % (3709028)CaDiCaL version: 2.1.3
% 4.24/1.58 % (3709028)Termination reason: Instruction limit
% 4.24/1.58 % (3709028)Termination phase: Saturation
% 4.24/1.58 % (3709028)Time elapsed: 0.066 s
% 4.24/1.58 % (3709028)Peak memory usage: 88 MB
% 4.24/1.58 % (3709028)Instructions burned: 121 (million)
% 4.24/1.58 % (3709030)Instruction limit reached!
% 4.24/1.58 % (3709030)------------------------------
% 4.24/1.58 % (3709030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.58 % (3709030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.58 % (3709030)CaDiCaL version: 2.1.3
% 4.24/1.58 % (3709030)Termination reason: Instruction limit
% 4.24/1.58 % (3709030)Termination phase: Saturation
% 4.24/1.58 % (3709030)Time elapsed: 0.079 s
% 4.24/1.58 % (3709030)Peak memory usage: 90 MB
% 4.24/1.58 % (3709030)Instructions burned: 129 (million)
% 4.24/1.58 % (3709029)Instruction limit reached!
% 4.24/1.58 % (3709029)------------------------------
% 4.24/1.58 % (3709029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.58 % (3709029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.58 % (3709029)CaDiCaL version: 2.1.3
% 4.24/1.58 % (3709029)Termination reason: Instruction limit
% 4.24/1.58 % (3709029)Termination phase: Saturation
% 4.24/1.58 % (3709029)Time elapsed: 0.081 s
% 4.24/1.58 % (3709029)Peak memory usage: 89 MB
% 4.24/1.58 % (3709029)Instructions burned: 140 (million)
% 4.24/1.58 % (3709038)lrs+10_1_sil=8000:sp=occurrence:random_seed=4023497940:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.24/1.58 % (3709040)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3573970498:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.24/1.58 % (3709039)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3228208037:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.24/1.58 % (3709041)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=138431136:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.24/1.58 % (3709039)Instruction limit reached!
% 4.24/1.58 % (3709039)------------------------------
% 4.24/1.58 % (3709039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.58 % (3709039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.58 % (3709039)CaDiCaL version: 2.1.3
% 4.24/1.58 % (3709039)Termination reason: Instruction limit
% 4.24/1.58 % (3709039)Termination phase: Saturation
% 4.24/1.58 % (3709039)Time elapsed: 0.068 s
% 4.24/1.58 % (3709039)Peak memory usage: 90 MB
% 4.24/1.58 % (3709039)Instructions burned: 157 (million)
% 4.24/1.58 % (3709040)First to succeed.
% 4.24/1.58 % (3709040)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3709019"
% 4.24/1.58 % (3709041)Instruction limit reached!
% 4.24/1.58 % (3709041)------------------------------
% 4.24/1.58 % (3709041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.58 % (3709041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.58 % (3709041)CaDiCaL version: 2.1.3
% 4.24/1.58 % (3709041)Termination reason: Instruction limit
% 4.24/1.58 % (3709041)Termination phase: Saturation
% 4.24/1.58 % (3709041)Time elapsed: 0.114 s
% 4.24/1.58 % (3709041)Peak memory usage: 93 MB
% 4.24/1.58 % (3709041)Instructions burned: 248 (million)
% 4.24/1.58 % (3709038)Instruction limit reached!
% 4.24/1.58 % (3709038)------------------------------
% 4.24/1.58 % (3709038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.58 % (3709038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.58 % (3709038)CaDiCaL version: 2.1.3
% 4.24/1.58 % (3709038)Termination reason: Instruction limit
% 4.24/1.58 % (3709038)Termination phase: Saturation
% 4.24/1.58 % (3709038)Time elapsed: 0.157 s
% 4.24/1.58 % (3709038)Peak memory usage: 92 MB
% 4.24/1.58 % (3709038)Instructions burned: 285 (million)
% 4.24/1.58 % (3709046)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2284344414:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.24/1.58 % (3709047)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1413676146:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.24/1.58 % (3709046)Instruction limit reached!
% 4.24/1.58 % (3709046)------------------------------
% 4.24/1.58 % (3709046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.58 % (3709046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.58 % (3709046)CaDiCaL version: 2.1.3
% 4.24/1.58 % (3709046)Termination reason: Instruction limit
% 4.24/1.58 % (3709046)Termination phase: Saturation
% 4.24/1.58 % (3709046)Time elapsed: 0.089 s
% 4.24/1.58 % (3709046)Peak memory usage: 90 MB
% 4.24/1.58 % (3709046)Instructions burned: 296 (million)
% 4.24/1.58 % (3709024)Also succeeded, but the first one will report.
% 4.24/1.58 % (3709048)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1462637468:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.24/1.58 % (3709048)Instruction limit reached!
% 4.24/1.58 % (3709048)------------------------------
% 4.24/1.58 % (3709048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.58 % (3709048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.58 % (3709048)CaDiCaL version: 2.1.3
% 4.24/1.58 % (3709048)Termination reason: Instruction limit
% 4.24/1.58 % (3709048)Termination phase: Saturation
% 4.24/1.58 % (3709048)Time elapsed: 0.077 s
% 4.24/1.58 % (3709048)Peak memory usage: 90 MB
% 4.24/1.58 % (3709048)Instructions burned: 114 (million)
% 4.24/1.58 % (3709051)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1222389282:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 4.24/1.58 % (3709040)Refutation found. Thanks to Tanya!
% 4.24/1.58 % SZS status Theorem for theBenchmark
% 4.24/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 5.71/1.77 % (3709040)------------------------------
% 5.71/1.77 % (3709040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.77 % (3709040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.77 % (3709040)CaDiCaL version: 2.1.3
% 5.71/1.77 % (3709040)Termination reason: Refutation
% 5.71/1.77 % (3709040)Time elapsed: 0.110 s
% 5.71/1.77 % (3709040)Peak memory usage: 92 MB
% 5.71/1.77 % (3709040)Instructions burned: 188 (million)
% 5.71/1.77 % (3709040)------------------------------
% 5.71/1.77 % (3709040)------------------------------
% 5.71/1.77 % (3709019)Success in time 0.734 s
% 5.71/1.77 % Vampire exiting
%------------------------------------------------------------------------------