%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG069+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 : n002.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 12:35:23 PM UTC 2026
% Result : Theorem 9.66s 2.16s
% Output : Refutation 9.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 55 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 60 ( 29 ~; 24 |; 6 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr2) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f61,axiom,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2580) ).
fof(f62,conjecture,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f63,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(negated_conjecture,[status(cth)],[f62]) ).
fof(f64,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(flattening,[],[f63]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f90]) ).
fof(f161,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f163,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f165,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f173,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
inference(cnf_transformation,[],[f61]) ).
fof(f174,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(cnf_transformation,[],[f64]) ).
fof(f188,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f91]) ).
fof(f1824,plain,
( sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS))))
| ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ aScalar0(xP) ),
inference(superposition,[],[f173,f188]) ).
fof(f1836,plain,
( sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS))))
| ~ aScalar0(xP) ),
inference(duplicate_literal_removal,[],[f1824]) ).
fof(f1844,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
inference(forward_subsumption_resolution,[],[f1836,f163]) ).
fof(f5796,plain,
( sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| ~ aScalar0(xR)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(superposition,[],[f1844,f188]) ).
fof(f5798,plain,
( sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(duplicate_literal_removal,[],[f5796]) ).
fof(f5801,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(forward_subsumption_resolution,[],[f5798,f174]) ).
fof(f5808,plain,
~ aScalar0(xS),
inference(forward_subsumption_resolution,[],[f5801,f161]) ).
fof(f5814,plain,
$false,
inference(forward_subsumption_resolution,[],[f5808,f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG069+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 23:10:52 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 6.99/1.95 % (3996968)Detected formulas, will run a generic FOF schedule.
% 6.99/1.95 % (3997020)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=3411946324:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.99/1.95 % (3997019)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=3875496937:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.99/1.95 % (3997026)dis-21_1_sil=8000:lcm=predicate:random_seed=1276127947: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)
% 6.99/1.95 % (3997024)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2068991023:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.99/1.95 % (3997021)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=181357288:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.99/1.95 % (3997022)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=361337611:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.99/1.95 % (3997025)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1019152879:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.99/1.95 % (3997022)Instruction limit reached!
% 6.99/1.95 % (3997022)------------------------------
% 6.99/1.95 % (3997022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.95 % (3997022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.95 % (3997022)CaDiCaL version: 2.1.3
% 6.99/1.95 % (3997022)Termination reason: Instruction limit
% 6.99/1.95 % (3997022)Termination phase: Saturation
% 6.99/1.95 % (3997022)Time elapsed: 0.056 s
% 6.99/1.95 % (3997022)Peak memory usage: 89 MB
% 6.99/1.95 % (3997022)Instructions burned: 109 (million)
% 6.99/1.95 % (3997024)Instruction limit reached!
% 6.99/1.95 % (3997024)------------------------------
% 6.99/1.95 % (3997024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.95 % (3997024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.95 % (3997024)CaDiCaL version: 2.1.3
% 6.99/1.95 % (3997024)Termination reason: Instruction limit
% 6.99/1.95 % (3997024)Termination phase: Saturation
% 6.99/1.95 % (3997024)Time elapsed: 0.066 s
% 6.99/1.95 % (3997024)Peak memory usage: 88 MB
% 6.99/1.95 % (3997024)Instructions burned: 120 (million)
% 6.99/1.95 % (3997026)Instruction limit reached!
% 6.99/1.95 % (3997026)------------------------------
% 6.99/1.95 % (3997026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.95 % (3997026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.95 % (3997026)CaDiCaL version: 2.1.3
% 6.99/1.95 % (3997026)Termination reason: Instruction limit
% 6.99/1.95 % (3997026)Termination phase: Saturation
% 6.99/1.95 % (3997026)Time elapsed: 0.066 s
% 6.99/1.95 % (3997026)Peak memory usage: 89 MB
% 6.99/1.95 % (3997026)Instructions burned: 130 (million)
% 6.99/1.95 % (3997025)Instruction limit reached!
% 6.99/1.95 % (3997025)------------------------------
% 6.99/1.95 % (3997025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.99/1.95 % (3997025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.99/1.95 % (3997025)CaDiCaL version: 2.1.3
% 6.99/1.95 % (3997025)Termination reason: Instruction limit
% 6.99/1.95 % (3997025)Termination phase: Saturation
% 6.99/1.95 % (3997025)Time elapsed: 0.109 s
% 6.99/1.95 % (3997025)Peak memory usage: 90 MB
% 6.99/1.95 % (3997025)Instructions burned: 139 (million)
% 6.99/1.95 % (3997088)lrs+10_1_sil=8000:sp=occurrence:random_seed=3508125836:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.99/1.95 % (3997090)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3962081707:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.99/1.95 % (3997089)lrs+10_1_sil=32000:urr=on:br=off:random_seed=972991045:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.99/1.95 % (3997091)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=1444806236:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.99/1.95 % (3997089)Instruction limit reached!
% 9.66/2.16 % (3997089)------------------------------
% 9.66/2.16 % (3997089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/2.16 % (3997089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/2.16 % (3997089)CaDiCaL version: 2.1.3
% 9.66/2.16 % (3997089)Termination reason: Instruction limit
% 9.66/2.16 % (3997089)Termination phase: Saturation
% 9.66/2.16 % (3997089)Time elapsed: 0.077 s
% 9.66/2.16 % (3997089)Peak memory usage: 91 MB
% 9.66/2.16 % (3997089)Instructions burned: 158 (million)
% 9.66/2.16 % (3997091)Instruction limit reached!
% 9.66/2.16 % (3997091)------------------------------
% 9.66/2.16 % (3997091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/2.16 % (3997091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/2.16 % (3997091)CaDiCaL version: 2.1.3
% 9.66/2.16 % (3997091)Termination reason: Instruction limit
% 9.66/2.16 % (3997091)Termination phase: Saturation
% 9.66/2.16 % (3997091)Time elapsed: 0.068 s
% 9.66/2.16 % (3997091)Peak memory usage: 94 MB
% 9.66/2.16 % (3997091)Instructions burned: 251 (million)
% 9.66/2.16 % (3997088)Instruction limit reached!
% 9.66/2.16 % (3997088)------------------------------
% 9.66/2.16 % (3997088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/2.16 % (3997088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/2.16 % (3997088)CaDiCaL version: 2.1.3
% 9.66/2.16 % (3997088)Termination reason: Instruction limit
% 9.66/2.16 % (3997088)Termination phase: Saturation
% 9.66/2.16 % (3997088)Time elapsed: 0.202 s
% 9.66/2.16 % (3997088)Peak memory usage: 93 MB
% 9.66/2.16 % (3997088)Instructions burned: 285 (million)
% 9.66/2.16 % (3997090)Instruction limit reached!
% 9.66/2.16 % (3997090)------------------------------
% 9.66/2.16 % (3997090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/2.16 % (3997090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/2.16 % (3997090)CaDiCaL version: 2.1.3
% 9.66/2.16 % (3997090)Termination reason: Instruction limit
% 9.66/2.16 % (3997090)Termination phase: Saturation
% 9.66/2.16 % (3997090)Time elapsed: 0.247 s
% 9.66/2.16 % (3997090)Peak memory usage: 93 MB
% 9.66/2.16 % (3997090)Instructions burned: 325 (million)
% 9.66/2.16 % (3997100)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2543662689:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.66/2.16 % (3997118)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=530117325:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.66/2.16 % (3997125)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=580292369:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.66/2.16 % (3997127)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3535513585:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.66/2.16 % (3997125)Instruction limit reached!
% 9.66/2.16 % (3997125)------------------------------
% 9.66/2.16 % (3997125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/2.16 % (3997125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/2.16 % (3997125)CaDiCaL version: 2.1.3
% 9.66/2.16 % (3997125)Termination reason: Instruction limit
% 9.66/2.16 % (3997125)Termination phase: Saturation
% 9.66/2.16 % (3997125)Time elapsed: 0.084 s
% 9.66/2.16 % (3997125)Peak memory usage: 91 MB
% 9.66/2.16 % (3997125)Instructions burned: 114 (million)
% 9.66/2.16 % (3997100)First to succeed.
% 9.66/2.16 % (3997100)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3996968"
% 9.66/2.16 % (3997127)Instruction limit reached!
% 9.66/2.16 % (3997127)------------------------------
% 9.66/2.16 % (3997127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/2.16 % (3997127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/2.16 % (3997127)CaDiCaL version: 2.1.3
% 9.66/2.16 % (3997127)Termination reason: Instruction limit
% 9.66/2.16 % (3997127)Termination phase: Saturation
% 9.66/2.16 % (3997127)Time elapsed: 0.114 s
% 9.66/2.16 % (3997127)Peak memory usage: 89 MB
% 9.66/2.16 % (3997127)Instructions burned: 127 (million)
% 9.66/2.16 % (3997143)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3486427116:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 9.66/2.16 % (3997143)Refutation not found, incomplete strategy
% 9.66/2.16 % (3997143)------------------------------
% 9.66/2.16 % (3997143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/2.16 % (3997143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/2.16 % (3997143)CaDiCaL version: 2.1.3
% 9.66/2.16 % (3997143)Termination reason: Refutation not found, incomplete strategy
% 9.66/2.16 % (3997143)Time elapsed: 0.008 s
% 9.66/2.16 % (3997143)Peak memory usage: 88 MB
% 9.66/2.16 % (3997143)Instructions burned: 6 (million)
% 9.66/2.16 % (3997100)Refutation found. Thanks to Tanya!
% 9.66/2.16 % SZS status Theorem for theBenchmark
% 9.66/2.16 % SZS output start Proof for theBenchmark
% See solution above
% 9.66/2.16 % (3997100)------------------------------
% 9.66/2.16 % (3997100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/2.16 % (3997100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/2.16 % (3997100)CaDiCaL version: 2.1.3
% 9.66/2.16 % (3997100)Termination reason: Refutation
% 9.66/2.16 % (3997100)Time elapsed: 0.255 s
% 9.66/2.16 % (3997100)Peak memory usage: 90 MB
% 9.66/2.16 % (3997100)Instructions burned: 263 (million)
% 9.66/2.16 % (3997100)------------------------------
% 9.66/2.16 % (3997100)------------------------------
% 9.66/2.16 % (3996968)Success in time 1.323 s
% 9.66/2.16 % Vampire exiting
%------------------------------------------------------------------------------