%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM479+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 12:24:28 PM UTC 2026
% Result : Theorem 33.18s 5.92s
% Output : Refutation 33.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 51 ( 34 unt; 7 def)
% Number of atoms : 93 ( 52 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 68 ( 26 ~; 20 |; 16 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f36,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1524) ).
fof(f38,axiom,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1553) ).
fof(f39,conjecture,
( ( aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) )
=> ( ( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xl))
& sdtasdt0(xn,xm) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) )
=> sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ ( ( aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) )
=> ( ( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xl))
& sdtasdt0(xn,xm) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) )
=> sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f53,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f54,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f56,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f55]) ).
fof(f100,plain,
( sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) != sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xl))
& sdtasdt0(xn,xm) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f101,plain,
( sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) != sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xl))
& sdtasdt0(xn,xm) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(flattening,[],[f100]) ).
fof(f122,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f170,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f36]) ).
fof(f175,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f38]) ).
fof(f176,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f101]) ).
fof(f177,plain,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f101]) ).
fof(f178,plain,
sdtasdt0(xn,xm) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
inference(cnf_transformation,[],[f101]) ).
fof(f180,plain,
sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)) != sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f101]) ).
fof(f191,definition,
sF3 = sdtasdt0(xn,xm),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f192,plain,
sdtasdt0(xn,xm) = sF3,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF4 = sdtsldt0(sF3,xl),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f194,plain,
sdtsldt0(sF3,xl) = sF4,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF5 = sdtasdt0(xl,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f196,plain,
sdtasdt0(xl,sF4) = sF5,
inference(reorient_equations,[],[f195]) ).
fof(f197,definition,
sF6 = sdtasdt0(xl,xn),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f198,plain,
sdtasdt0(xl,xn) = sF6,
inference(reorient_equations,[],[f197]) ).
fof(f199,definition,
sF7 = sdtsldt0(xm,xl),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f200,plain,
sdtsldt0(xm,xl) = sF7,
inference(reorient_equations,[],[f199]) ).
fof(f201,definition,
sF8 = sdtasdt0(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f202,plain,
sdtasdt0(sF6,sF7) = sF8,
inference(reorient_equations,[],[f201]) ).
fof(f203,plain,
sF5 != sF8,
inference(definition_folding,[],[f180,f202,f200,f198,f196,f194,f192]) ).
fof(f205,plain,
sF3 = sF5,
inference(definition_folding,[],[f178,f196,f194,f192,f192]) ).
fof(f206,plain,
aNaturalNumber0(sF7),
inference(definition_folding,[],[f177,f200]) ).
fof(f207,definition,
sF9 = sdtasdt0(xl,sF7),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f208,plain,
sdtasdt0(xl,sF7) = sF9,
inference(reorient_equations,[],[f207]) ).
fof(f209,plain,
xm = sF9,
inference(definition_folding,[],[f176,f208,f200]) ).
fof(f211,plain,
sF3 != sF8,
inference(forward_demodulation,[],[f203,f205]) ).
fof(f213,plain,
xm = sdtasdt0(xl,sF7),
inference(forward_demodulation,[],[f208,f209]) ).
fof(f312,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xl,X0) = sdtasdt0(X0,xl) ),
inference(resolution,[],[f122,f170]) ).
fof(f827,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sF7) = sdtasdt0(X0,sdtasdt0(X1,sF7)) ),
inference(resolution,[],[f123,f206]) ).
fof(f2478,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xl),sF7) = sdtasdt0(X0,sdtasdt0(xl,sF7)) ),
inference(resolution,[],[f827,f170]) ).
fof(f2489,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,xl),sF7) ),
inference(forward_demodulation,[],[f2478,f213]) ).
fof(f6422,plain,
sdtasdt0(xl,xn) = sdtasdt0(xn,xl),
inference(resolution,[],[f312,f175]) ).
fof(f6434,plain,
sF6 = sdtasdt0(xn,xl),
inference(forward_demodulation,[],[f6422,f198]) ).
fof(f28108,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xn,xl),sF7),
inference(resolution,[],[f2489,f175]) ).
fof(f28123,plain,
sdtasdt0(xn,xm) = sdtasdt0(sF6,sF7),
inference(forward_demodulation,[],[f28108,f6434]) ).
fof(f28132,plain,
sdtasdt0(xn,xm) = sF8,
inference(forward_demodulation,[],[f28123,f202]) ).
fof(f28136,plain,
sF3 = sF8,
inference(forward_demodulation,[],[f28132,f192]) ).
fof(f28137,plain,
$false,
inference(forward_subsumption_resolution,[],[f28136,f211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM479+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 % Computer : n011.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 20:06:16 UTC 2026
% 0.09/0.40 % CPUTime :
% 0.09/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.43 Running first-order model finding
% 0.09/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.58/2.54 % (2725332)Will run a generic schedule for satisfiability detection.
% 14.58/2.54 % (2725339)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3384573574:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.58/2.54 % (2725338)% WARNING: option uhcvi not known.
% 14.58/2.54 % (2725337)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1998757596_2999 on theBenchmark for (2999ds/0Mi)
% 14.58/2.54 % (2725338)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4099259570:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.58/2.54 % (2725340)dis+10_1_sil=32000:sp=arity:random_seed=1892073786:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.58/2.54 % (2725341)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=817878511:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.58/2.54 % (2725342)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1523935657:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.58/2.54 % (2725343)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3621586031:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.58/2.54 % TRYING [1]
% 14.58/2.54 % TRYING [2]
% 14.58/2.54 % TRYING [3]
% 14.58/2.54 % TRYING [4]
% 14.58/2.54 % TRYING [5]
% 14.58/2.54 % (2725340)Instruction limit reached!
% 14.58/2.54 % (2725340)------------------------------
% 14.58/2.54 % (2725340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.58/2.54 % (2725340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.58/2.54 % (2725340)CaDiCaL version: 2.1.3
% 14.58/2.54 % (2725340)Termination reason: Instruction limit
% 14.58/2.54 % (2725340)Termination phase: Saturation
% 14.58/2.54 % (2725340)Time elapsed: 0.058 s
% 14.58/2.54 % (2725340)Peak memory usage: 12 MB
% 14.58/2.54 % (2725340)Instructions burned: 103 (million)
% 14.58/2.54 % (2725342)Instruction limit reached!
% 14.58/2.54 % (2725342)------------------------------
% 14.58/2.54 % (2725342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.58/2.54 % (2725342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.58/2.54 % (2725342)CaDiCaL version: 2.1.3
% 14.58/2.54 % (2725342)Termination reason: Instruction limit
% 14.58/2.54 % (2725342)Termination phase: Saturation
% 14.58/2.54 % (2725342)Time elapsed: 0.063 s
% 14.58/2.54 % (2725342)Peak memory usage: 13 MB
% 14.58/2.54 % (2725342)Instructions burned: 132 (million)
% 14.58/2.54 % (2725341)Instruction limit reached!
% 14.58/2.54 % (2725341)------------------------------
% 14.58/2.54 % (2725341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.58/2.54 % (2725341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.58/2.54 % (2725341)CaDiCaL version: 2.1.3
% 14.58/2.54 % (2725341)Termination reason: Instruction limit
% 14.58/2.54 % (2725341)Termination phase: Saturation
% 14.58/2.54 % (2725341)Time elapsed: 0.065 s
% 14.58/2.54 % (2725341)Peak memory usage: 12 MB
% 14.58/2.54 % (2725341)Instructions burned: 116 (million)
% 14.58/2.54 % (2725351)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3706076934:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.58/2.54 % (2725352)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2113154121:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.58/2.54 % TRYING [1]
% 14.58/2.54 % TRYING [2]
% 14.58/2.54 % (2725353)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2214131016:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.58/2.54 % TRYING [3]
% 14.58/2.54 % TRYING [4]
% 14.58/2.54 % (2725343)Instruction limit reached!
% 14.58/2.54 % (2725343)------------------------------
% 14.58/2.54 % (2725343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.58/2.54 % (2725343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.58/2.54 % (2725343)CaDiCaL version: 2.1.3
% 14.58/2.54 % (2725343)Termination reason: Instruction limit
% 14.58/2.54 % (2725343)Termination phase: Saturation
% 14.58/2.54 % (2725343)Time elapsed: 0.099 s
% 14.58/2.54 % (2725343)Peak memory usage: 13 MB
% 14.58/2.54 % (2725343)Instructions burned: 160 (million)
% 14.58/2.54 % TRYING [6]
% 14.58/2.54 % TRYING [5]
% 14.58/2.54 % (2725357)ott-21_1_sil=16000:fs=off:random_seed=1386679016:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.58/2.54 % (2725352)Instruction limit reached!
% 14.58/2.54 % (2725352)------------------------------
% 14.58/2.54 % (2725352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.91 % (2725352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.91 % (2725352)CaDiCaL version: 2.1.3
% 33.18/5.91 % (2725352)Termination reason: Instruction limit
% 33.18/5.91 % (2725352)Termination phase: Saturation
% 33.18/5.91 % (2725352)Time elapsed: 0.063 s
% 33.18/5.91 % (2725352)Peak memory usage: 12 MB
% 33.18/5.91 % (2725352)Instructions burned: 132 (million)
% 33.18/5.91 % (2725359)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=279328260:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 33.18/5.91 % TRYING [6]
% 33.18/5.91 % (2725357)Instruction limit reached!
% 33.18/5.91 % (2725357)------------------------------
% 33.18/5.91 % (2725357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.91 % (2725357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.91 % (2725357)CaDiCaL version: 2.1.3
% 33.18/5.91 % (2725357)Termination reason: Instruction limit
% 33.18/5.91 % (2725357)Termination phase: Saturation
% 33.18/5.91 % (2725357)Time elapsed: 0.090 s
% 33.18/5.91 % (2725357)Peak memory usage: 13 MB
% 33.18/5.91 % (2725357)Instructions burned: 181 (million)
% 33.18/5.91 % (2725361)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3520172651:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 33.18/5.91 % TRYING [1]
% 33.18/5.91 % TRYING [2]
% 33.18/5.91 % TRYING [3]
% 33.18/5.91 % TRYING [4]
% 33.18/5.91 % TRYING [7]
% 33.18/5.91 % TRYING [5]
% 33.18/5.91 % (2725351)Instruction limit reached!
% 33.18/5.91 % (2725351)------------------------------
% 33.18/5.91 % (2725351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.91 % (2725351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.91 % (2725351)CaDiCaL version: 2.1.3
% 33.18/5.91 % (2725351)Termination reason: Instruction limit
% 33.18/5.91 % (2725351)Termination phase: Finite model building SAT solving
% 33.18/5.91 % (2725351)Time elapsed: 0.276 s
% 33.18/5.91 % (2725351)Peak memory usage: 34 MB
% 33.18/5.91 % (2725351)Instructions burned: 715 (million)
% 33.18/5.91 % (2725364)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2743749236:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 33.18/5.91 % (2725359)Instruction limit reached!
% 33.18/5.91 % (2725359)------------------------------
% 33.18/5.91 % (2725359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.91 % (2725359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.91 % (2725359)CaDiCaL version: 2.1.3
% 33.18/5.91 % (2725359)Termination reason: Instruction limit
% 33.18/5.91 % (2725359)Termination phase: Saturation
% 33.18/5.91 % (2725359)Time elapsed: 0.315 s
% 33.18/5.91 % (2725359)Peak memory usage: 14 MB
% 33.18/5.91 % (2725359)Instructions burned: 478 (million)
% 33.18/5.91 % (2725353)Instruction limit reached!
% 33.18/5.91 % (2725353)------------------------------
% 33.18/5.91 % (2725353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.91 % (2725353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.91 % (2725353)CaDiCaL version: 2.1.3
% 33.18/5.91 % (2725353)Termination reason: Instruction limit
% 33.18/5.91 % (2725353)Termination phase: Saturation
% 33.18/5.91 % (2725353)Time elapsed: 0.401 s
% 33.18/5.91 % (2725353)Peak memory usage: 18 MB
% 33.18/5.91 % (2725353)Instructions burned: 684 (million)
% 33.18/5.91 % (2725366)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=845897174:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 33.18/5.91 % (2725367)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2137166229:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 33.18/5.91 % TRYING [6]
% 33.18/5.91 % (2725361)Instruction limit reached!
% 33.18/5.91 % (2725361)------------------------------
% 33.18/5.91 % (2725361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.91 % (2725361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.91 % (2725361)CaDiCaL version: 2.1.3
% 33.18/5.91 % (2725361)Termination reason: Instruction limit
% 33.18/5.91 % (2725361)Termination phase: Finite model building constraint generation
% 33.18/5.91 % (2725361)Time elapsed: 0.335 s
% 33.18/5.91 % (2725361)Peak memory usage: 21 MB
% 33.18/5.91 % (2725361)Instructions burned: 865 (million)
% 33.18/5.91 % (2725370)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=426507460:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 33.18/5.91 % TRYING [8]
% 33.18/5.91 % TRYING [14]
% 33.18/5.91 % (2725366)Instruction limit reached!
% 33.18/5.91 % (2725366)------------------------------
% 33.18/5.91 % (2725366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.91 % (2725366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.91 % (2725366)CaDiCaL version: 2.1.3
% 33.18/5.91 % (2725366)Termination reason: Instruction limit
% 33.18/5.91 % (2725366)Termination phase: Finite model building constraint generation
% 33.18/5.91 % (2725366)Time elapsed: 0.336 s
% 33.18/5.91 % (2725366)Peak memory usage: 73 MB
% 33.18/5.91 % (2725366)Instructions burned: 892 (million)
% 33.18/5.91 % (2725372)fmb+10_1_sil=64000:random_seed=4089017176:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 33.18/5.91 % TRYING [1]
% 33.18/5.91 % TRYING [2]
% 33.18/5.91 % TRYING [3]
% 33.18/5.91 % TRYING [4]
% 33.18/5.91 % (2725367)Instruction limit reached!
% 33.18/5.91 % (2725367)------------------------------
% 33.18/5.91 % (2725367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.91 % (2725367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.91 % (2725367)CaDiCaL version: 2.1.3
% 33.18/5.91 % (2725367)Termination reason: Instruction limit
% 33.18/5.91 % (2725367)Termination phase: Saturation
% 33.18/5.91 % (2725367)Time elapsed: 0.385 s
% 33.18/5.91 % (2725367)Peak memory usage: 20 MB
% 33.18/5.91 % (2725367)Instructions burned: 692 (million)
% 33.18/5.91 % (2725374)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1311014201:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 33.18/5.91 % TRYING [20]
% 33.18/5.91 % TRYING [5]
% 33.18/5.91 % (2725364)Instruction limit reached!
% 33.18/5.91 % (2725364)------------------------------
% 33.18/5.91 % (2725364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.91 % (2725364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.91 % (2725364)CaDiCaL version: 2.1.3
% 33.18/5.91 % (2725364)Termination reason: Instruction limit
% 33.18/5.91 % (2725364)Termination phase: Saturation
% 33.18/5.91 % (2725364)Time elapsed: 0.645 s
% 33.18/5.91 % (2725364)Peak memory usage: 25 MB
% 33.18/5.91 % (2725364)Instructions burned: 1179 (million)
% 33.18/5.91 % (2725376)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=693468093:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 33.18/5.91 % TRYING [8]
% 33.18/5.91 % (2725370)Instruction limit reached!
% 33.18/5.91 % (2725370)------------------------------
% 33.18/5.91 % (2725370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.91 % (2725370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.91 % (2725370)CaDiCaL version: 2.1.3
% 33.18/5.91 % (2725370)Termination reason: Instruction limit
% 33.18/5.91 % (2725370)Termination phase: Saturation
% 33.18/5.91 % (2725370)Time elapsed: 0.483 s
% 33.18/5.91 % (2725370)Peak memory usage: 20 MB
% 33.18/5.91 % (2725370)Instructions burned: 880 (million)
% 33.18/5.91 % (2725378)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2334925731:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 33.18/5.91 % TRYING [6]
% 33.18/5.91 % (2725376)Instruction limit reached!
% 33.18/5.91 % (2725376)------------------------------
% 33.18/5.91 % (2725376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.91 % (2725376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.91 % (2725376)CaDiCaL version: 2.1.3
% 33.18/5.91 % (2725376)Termination reason: Instruction limit
% 33.18/5.91 % (2725376)Termination phase: Finite model building constraint generation
% 33.18/5.91 % (2725376)Time elapsed: 0.342 s
% 33.18/5.91 % (2725376)Peak memory usage: 66 MB
% 33.18/5.91 % (2725376)Instructions burned: 922 (million)
% 33.18/5.91 % (2725380)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2942828124:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 33.18/5.91 % TRYING [9]
% 33.18/5.91 % TRYING [7]
% 33.18/5.91 % (2725380)Instruction limit reached!
% 33.18/5.91 % (2725380)------------------------------
% 33.18/5.91 % (2725380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.91 % (2725380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.91 % (2725380)CaDiCaL version: 2.1.3
% 33.18/5.91 % (2725380)Termination reason: Instruction limit
% 33.18/5.91 % (2725380)Termination phase: Saturation
% 33.18/5.91 % (2725380)Time elapsed: 0.629 s
% 33.18/5.91 % (2725380)Peak memory usage: 15 MB
% 33.18/5.91 % (2725380)Instructions burned: 1472 (million)
% 33.18/5.91 % (2725382)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=99001302:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 33.18/5.92 % TRYING [77]
% 33.18/5.92 % TRYING [8]
% 33.18/5.92 % TRYING [10]
% 33.18/5.92 % (2725378)Instruction limit reached!
% 33.18/5.92 % (2725378)------------------------------
% 33.18/5.92 % (2725378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.92 % (2725378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.92 % (2725378)CaDiCaL version: 2.1.3
% 33.18/5.92 % (2725378)Termination reason: Instruction limit
% 33.18/5.92 % (2725378)Termination phase: Saturation
% 33.18/5.92 % (2725378)Time elapsed: 2.676 s
% 33.18/5.92 % (2725378)Peak memory usage: 47 MB
% 33.18/5.92 % (2725378)Instructions burned: 5133 (million)
% 33.18/5.92 % (2725384)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3193582809:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 33.18/5.92 % TRYING [16]
% 33.18/5.92 % (2725374)Instruction limit reached!
% 33.18/5.92 % (2725374)------------------------------
% 33.18/5.92 % (2725374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.92 % (2725374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.92 % (2725374)CaDiCaL version: 2.1.3
% 33.18/5.92 % (2725374)Termination reason: Instruction limit
% 33.18/5.92 % (2725374)Termination phase: Finite model building constraint generation
% 33.18/5.92 % (2725374)Time elapsed: 3.325 s
% 33.18/5.92 % (2725374)Peak memory usage: 573 MB
% 33.18/5.92 % (2725374)Instructions burned: 9516 (million)
% 33.18/5.92 % (2725382)Instruction limit reached!
% 33.18/5.92 % (2725382)------------------------------
% 33.18/5.92 % (2725382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.92 % (2725382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.92 % (2725382)CaDiCaL version: 2.1.3
% 33.18/5.92 % (2725382)Termination reason: Instruction limit
% 33.18/5.92 % (2725382)Termination phase: Finite model building constraint generation
% 33.18/5.92 % (2725382)Time elapsed: 2.237 s
% 33.18/5.92 % (2725382)Peak memory usage: 429 MB
% 33.18/5.92 % (2725382)Instructions burned: 6325 (million)
% 33.18/5.92 % (2725386)ott-2_1_sil=16000:newcnf=on:random_seed=2101730753:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 33.18/5.92 % (2725388)ott+10_1_sil=32000:tgt=ground:random_seed=1417158545:i=5114:av=off_2956 on theBenchmark for (2956ds/5114Mi)
% 33.18/5.92 % (2725384)Instruction limit reached!
% 33.18/5.92 % (2725384)------------------------------
% 33.18/5.92 % (2725384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.92 % (2725384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.92 % (2725384)CaDiCaL version: 2.1.3
% 33.18/5.92 % (2725384)Termination reason: Instruction limit
% 33.18/5.92 % (2725384)Termination phase: Finite model building constraint generation
% 33.18/5.92 % (2725384)Time elapsed: 0.762 s
% 33.18/5.92 % (2725384)Peak memory usage: 146 MB
% 33.18/5.92 % (2725384)Instructions burned: 2176 (million)
% 33.18/5.92 % (2725390)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=546026393:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 33.18/5.92 % TRYING [1]
% 33.18/5.92 % TRYING [2]
% 33.18/5.92 % TRYING [3]
% 33.18/5.92 % TRYING [4]
% 33.18/5.92 % TRYING [5]
% 33.18/5.92 % TRYING [6]
% 33.18/5.92 % (2725386)Instruction limit reached!
% 33.18/5.92 % (2725386)------------------------------
% 33.18/5.92 % (2725386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.92 % (2725386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.92 % (2725386)CaDiCaL version: 2.1.3
% 33.18/5.92 % (2725386)Termination reason: Instruction limit
% 33.18/5.92 % (2725386)Termination phase: Saturation
% 33.18/5.92 % (2725386)Time elapsed: 0.492 s
% 33.18/5.92 % (2725386)Peak memory usage: 22 MB
% 33.18/5.92 % (2725386)Instructions burned: 871 (million)
% 33.18/5.92 % (2725392)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3646976141:i=3512:aac=none_2951 on theBenchmark for (2951ds/3512Mi)
% 33.18/5.92 % TRYING [7]
% 33.18/5.92 % TRYING [8]
% 33.18/5.92 % (2725388) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2725332-2725388"...
% 33.18/5.92 % (2725388)...printing done.
% 33.18/5.92 % (2725388)Refutation found. Thanks to Tanya!
% 33.18/5.92 % SZS status Theorem for theBenchmark
% 33.18/5.92 % SZS output start Proof for theBenchmark
% See solution above
% 33.18/5.92 % (2725388)------------------------------
% 33.18/5.92 % (2725388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.18/5.92 % (2725388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.18/5.92 % (2725388)CaDiCaL version: 2.1.3
% 33.18/5.92 % (2725388)Termination reason: Refutation
% 33.18/5.92 % (2725388)Time elapsed: 1.021 s
% 33.18/5.92 % (2725388)Peak memory usage: 24 MB
% 33.18/5.92 % (2725388)Instructions burned: 1880 (million)
% 33.18/5.92 % (2725332)Success in time 5.477 s
% 33.18/5.92 % Vampire exiting
%------------------------------------------------------------------------------