%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET755+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:44:33 PM UTC 2026
% Result : Theorem 52.91s 11.97s
% Output : Refutation 52.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 5 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 121 ( 38 ~; 46 |; 31 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 106 ( 91 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f24,axiom,
! [X0,X1,X2] :
( member(X2,inverse_image2(X0,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X0,X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',inverse_image2) ).
fof(f29,conjecture,
! [X0,X1,X2,X3,X4] :
( ( maps(X0,X1,X2)
& subset(X3,X2)
& subset(X4,X2)
& subset(X3,X4) )
=> subset(inverse_image2(X0,X3),inverse_image2(X0,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIIa05) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( maps(X0,X1,X2)
& subset(X3,X2)
& subset(X4,X2)
& subset(X3,X4) )
=> subset(inverse_image2(X0,X3),inverse_image2(X0,X4)) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f33,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f41,plain,
? [X0,X1,X2,X3,X4] :
( ~ subset(inverse_image2(X0,X3),inverse_image2(X0,X4))
& maps(X0,X1,X2)
& subset(X3,X2)
& subset(X4,X2)
& subset(X3,X4) ),
inference(ennf_transformation,[],[f30]) ).
fof(f42,plain,
? [X0,X1,X2,X3,X4] :
( ~ subset(inverse_image2(X0,X3),inverse_image2(X0,X4))
& maps(X0,X1,X2)
& subset(X3,X2)
& subset(X4,X2)
& subset(X3,X4) ),
inference(flattening,[],[f41]) ).
fof(f48,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f49,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f49]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( member(X2,inverse_image2(X0,X1))
| ! [X3] :
( ~ member(X3,X1)
| ~ apply(X0,X2,X3) ) )
& ( ? [X3] :
( member(X3,X1)
& apply(X0,X2,X3) )
| ~ member(X2,inverse_image2(X0,X1)) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( member(X2,inverse_image2(X0,X1))
| ! [X3] :
( ~ member(X3,X1)
| ~ apply(X0,X2,X3) ) )
& ( ? [X4] :
( member(X4,X1)
& apply(X0,X2,X4) )
| ~ member(X2,inverse_image2(X0,X1)) ) ),
inference(rectify,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( member(X2,inverse_image2(X0,X1))
| ! [X3] :
( ~ member(X3,X1)
| ~ apply(X0,X2,X3) ) )
& ( ( member(sK10(X0,X1,X2),X1)
& apply(X0,X2,sK10(X0,X1,X2)) )
| ~ member(X2,inverse_image2(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X4,sK10(X0,X1,X2))],[f85]) ).
fof(f91,plain,
( ~ subset(inverse_image2(sK12,sK15),inverse_image2(sK12,sK16))
& maps(sK12,sK13,sK14)
& subset(sK15,sK14)
& subset(sK16,sK14)
& subset(sK15,sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14),skolemize(X3,sK15),skolemize(X4,sK16)],[f42]) ).
fof(f92,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f93,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f94,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ member(X2,inverse_image2(X0,X1))
| apply(X0,X2,sK10(X0,X1,X2)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ member(X2,inverse_image2(X0,X1))
| member(sK10(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( ~ apply(X0,X2,X3)
| ~ member(X3,X1)
| member(X2,inverse_image2(X0,X1)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f145,plain,
subset(sK15,sK16),
inference(cnf_transformation,[],[f91]) ).
fof(f149,plain,
~ subset(inverse_image2(sK12,sK15),inverse_image2(sK12,sK16)),
inference(cnf_transformation,[],[f91]) ).
fof(f154,plain,
! [X0] :
( subset(X0,X0)
| subset(X0,X0) ),
inference(resolution,[],[f94,f93]) ).
fof(f155,plain,
! [X0] : subset(X0,X0),
inference(duplicate_literal_removal,[],[f154]) ).
fof(f158,plain,
! [X2,X0,X1] :
( member(sK10(X0,X1,sK3(inverse_image2(X0,X1),X2)),X1)
| subset(inverse_image2(X0,X1),X2) ),
inference(resolution,[],[f139,f93]) ).
fof(f160,plain,
! [X2,X0,X1] :
( apply(X0,sK3(inverse_image2(X0,X1),X2),sK10(X0,X1,sK3(inverse_image2(X0,X1),X2)))
| subset(inverse_image2(X0,X1),X2) ),
inference(resolution,[],[f138,f93]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( member(sK10(X0,X1,sK3(inverse_image2(X0,X1),X2)),X3)
| subset(inverse_image2(X0,X1),X2)
| ~ subset(X1,X3) ),
inference(resolution,[],[f158,f92]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( ~ member(sK10(X0,X1,sK3(inverse_image2(X0,X1),X2)),X3)
| subset(inverse_image2(X0,X1),X2)
| member(sK3(inverse_image2(X0,X1),X2),inverse_image2(X0,X3)) ),
inference(resolution,[],[f160,f140]) ).
fof(f187,plain,
! [X2,X3,X0,X1,X4] :
( ~ subset(X3,X4)
| ~ subset(X1,X3)
| member(sK10(X0,X1,sK3(inverse_image2(X0,X1),X2)),X4)
| subset(inverse_image2(X0,X1),X2) ),
inference(resolution,[],[f174,f92]) ).
fof(f228,plain,
! [X2,X0,X1] :
( member(sK10(X1,X0,sK3(inverse_image2(X1,X0),X2)),sK16)
| ~ subset(X0,sK15)
| subset(inverse_image2(X1,X0),X2) ),
inference(resolution,[],[f187,f145]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ subset(X0,sK15)
| subset(inverse_image2(X1,X0),X2)
| subset(inverse_image2(X1,X0),X2)
| member(sK3(inverse_image2(X1,X0),X2),inverse_image2(X1,sK16)) ),
inference(resolution,[],[f228,f183]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ subset(X0,sK15)
| subset(inverse_image2(X1,X0),X2)
| member(sK3(inverse_image2(X1,X0),X2),inverse_image2(X1,sK16)) ),
inference(duplicate_literal_removal,[],[f231]) ).
fof(f237,plain,
! [X0,X1] :
( member(sK3(inverse_image2(X0,sK15),X1),inverse_image2(X0,sK16))
| subset(inverse_image2(X0,sK15),X1) ),
inference(resolution,[],[f233,f155]) ).
fof(f246,plain,
! [X0] :
( subset(inverse_image2(X0,sK15),inverse_image2(X0,sK16))
| subset(inverse_image2(X0,sK15),inverse_image2(X0,sK16)) ),
inference(resolution,[],[f237,f94]) ).
fof(f250,plain,
! [X0] : subset(inverse_image2(X0,sK15),inverse_image2(X0,sK16)),
inference(duplicate_literal_removal,[],[f246]) ).
fof(f253,plain,
$false,
inference(resolution,[],[f250,f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET755+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.40 % Computer : n016.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Mon Sep 28 02:48:17 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.45 Running first-order model finding
% 0.15/0.45 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.00/4.44 % (3207624)Will run a generic schedule for satisfiability detection.
% 28.00/4.44 % (3207629)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1608221719_2999 on theBenchmark for (2999ds/0Mi)
% 28.00/4.44 % TRYING [1]
% 28.00/4.44 % TRYING [2]
% 28.00/4.44 % TRYING [3]
% 28.00/4.44 % (3207630)% WARNING: option uhcvi not known.
% 28.00/4.44 % (3207632)dis+10_1_sil=32000:sp=arity:random_seed=3094199907:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 28.00/4.44 % (3207631)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3415701871:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 28.00/4.44 % (3207635)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2237316247:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 28.00/4.44 % (3207633)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3849958697:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 28.00/4.44 % (3207634)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3118494887:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 28.00/4.44 % (3207630)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=258341129:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 28.00/4.44 % TRYING [4]
% 28.00/4.44 % (3207632)Instruction limit reached!
% 28.00/4.44 % (3207632)------------------------------
% 28.00/4.44 % (3207632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.44 % (3207632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.44 % (3207632)CaDiCaL version: 2.1.3
% 28.00/4.44 % (3207632)Termination reason: Instruction limit
% 28.00/4.44 % (3207632)Termination phase: Saturation
% 28.00/4.44 % (3207632)Time elapsed: 0.102 s
% 28.00/4.44 % (3207632)Peak memory usage: 13 MB
% 28.00/4.44 % (3207632)Instructions burned: 103 (million)
% 28.00/4.44 % (3207633)Instruction limit reached!
% 28.00/4.44 % (3207633)------------------------------
% 28.00/4.44 % (3207633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.44 % (3207633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.44 % (3207633)CaDiCaL version: 2.1.3
% 28.00/4.44 % (3207633)Termination reason: Instruction limit
% 28.00/4.44 % (3207633)Termination phase: Saturation
% 28.00/4.44 % (3207633)Time elapsed: 0.110 s
% 28.00/4.44 % (3207633)Peak memory usage: 13 MB
% 28.00/4.44 % (3207633)Instructions burned: 116 (million)
% 28.00/4.44 % (3207634)Instruction limit reached!
% 28.00/4.44 % (3207634)------------------------------
% 28.00/4.44 % (3207634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.44 % (3207634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.44 % (3207634)CaDiCaL version: 2.1.3
% 28.00/4.44 % (3207634)Termination reason: Instruction limit
% 28.00/4.44 % (3207634)Termination phase: Saturation
% 28.00/4.44 % (3207634)Time elapsed: 0.128 s
% 28.00/4.44 % (3207634)Peak memory usage: 13 MB
% 28.00/4.44 % (3207634)Instructions burned: 131 (million)
% 28.00/4.44 % (3207643)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3619116303:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 28.00/4.44 % (3207644)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=533183682:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 28.00/4.44 % TRYING [1]
% 28.00/4.44 % TRYING [2]
% 28.00/4.44 % TRYING [3]
% 28.00/4.44 % (3207635)Instruction limit reached!
% 28.00/4.44 % (3207635)------------------------------
% 28.00/4.44 % (3207635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.00/4.44 % (3207635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.00/4.44 % (3207635)CaDiCaL version: 2.1.3
% 28.00/4.44 % (3207635)Termination reason: Instruction limit
% 28.00/4.44 % (3207635)Termination phase: Saturation
% 28.00/4.44 % (3207635)Time elapsed: 0.160 s
% 28.00/4.44 % (3207635)Peak memory usage: 14 MB
% 28.00/4.44 % (3207635)Instructions burned: 159 (million)
% 28.00/4.44 % (3207646)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=2092250517:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 28.00/4.44 % (3207650)ott-21_1_sil=16000:fs=off:random_seed=3004922279:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 28.00/4.44 % TRYING [4]
% 28.00/4.44 % TRYING [5]
% 28.00/4.44 % (3207644)Instruction limit reached!
% 28.00/4.44 % (3207644)------------------------------
% 28.00/4.44 % (3207644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.37/9.98 % (3207644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.37/9.98 % (3207644)CaDiCaL version: 2.1.3
% 66.37/9.98 % (3207644)Termination reason: Instruction limit
% 66.37/9.98 % (3207644)Termination phase: Saturation
% 66.37/9.98 % (3207644)Time elapsed: 0.133 s
% 66.37/9.98 % (3207644)Peak memory usage: 13 MB
% 66.37/9.98 % (3207644)Instructions burned: 131 (million)
% 66.37/9.98 % (3207653)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=331563591:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 66.37/9.98 % (3207650)Instruction limit reached!
% 66.37/9.98 % (3207650)------------------------------
% 66.37/9.98 % (3207650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.37/9.98 % (3207650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.37/9.98 % (3207650)CaDiCaL version: 2.1.3
% 66.37/9.98 % (3207650)Termination reason: Instruction limit
% 66.37/9.98 % (3207650)Termination phase: Saturation
% 66.37/9.98 % (3207650)Time elapsed: 0.169 s
% 66.37/9.98 % (3207650)Peak memory usage: 14 MB
% 66.37/9.98 % (3207650)Instructions burned: 181 (million)
% 66.37/9.98 % (3207655)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1524746612:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 66.37/9.98 % TRYING [1]
% 66.37/9.98 % TRYING [2]
% 66.37/9.98 % TRYING [3]
% 66.37/9.98 % (3207643)Instruction limit reached!
% 66.37/9.98 % (3207643)------------------------------
% 66.37/9.98 % (3207643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.37/9.98 % (3207643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.37/9.98 % (3207643)CaDiCaL version: 2.1.3
% 66.37/9.98 % (3207643)Termination reason: Instruction limit
% 66.37/9.98 % (3207643)Termination phase: Finite model building constraint generation
% 66.37/9.98 % (3207643)Time elapsed: 0.507 s
% 66.37/9.98 % (3207643)Peak memory usage: 35 MB
% 66.37/9.98 % (3207643)Instructions burned: 714 (million)
% 66.37/9.98 % (3207657)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=166556199:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 66.37/9.98 % (3207655)Instruction limit reached!
% 66.37/9.98 % (3207655)------------------------------
% 66.37/9.98 % (3207655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.37/9.98 % (3207655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.37/9.98 % (3207655)CaDiCaL version: 2.1.3
% 66.37/9.98 % (3207655)Termination reason: Instruction limit
% 66.37/9.98 % (3207655)Termination phase: Finite model building SAT solving
% 66.37/9.98 % (3207655)Time elapsed: 0.376 s
% 66.37/9.98 % (3207655)Peak memory usage: 46 MB
% 66.37/9.98 % (3207655)Instructions burned: 867 (million)
% 66.37/9.98 % (3207659)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3028811830:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 66.37/9.98 % (3207653)Instruction limit reached!
% 66.37/9.98 % (3207653)------------------------------
% 66.37/9.98 % (3207653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.37/9.98 % (3207653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.37/9.98 % (3207653)CaDiCaL version: 2.1.3
% 66.37/9.98 % (3207653)Termination reason: Instruction limit
% 66.37/9.98 % (3207653)Termination phase: Saturation
% 66.37/9.98 % (3207653)Time elapsed: 0.488 s
% 66.37/9.98 % (3207653)Peak memory usage: 15 MB
% 66.37/9.98 % (3207653)Instructions burned: 478 (million)
% 66.37/9.98 % (3207661)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=1359837427:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 66.37/9.98 % (3207646)Instruction limit reached!
% 66.37/9.98 % (3207646)------------------------------
% 66.37/9.98 % (3207646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.37/9.98 % (3207646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.37/9.98 % (3207646)CaDiCaL version: 2.1.3
% 66.37/9.98 % (3207646)Termination reason: Instruction limit
% 66.37/9.98 % (3207646)Termination phase: Saturation
% 66.37/9.98 % (3207646)Time elapsed: 0.653 s
% 66.37/9.98 % (3207646)Peak memory usage: 18 MB
% 66.37/9.98 % (3207646)Instructions burned: 684 (million)
% 66.37/9.98 % (3207663)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=88880208:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 66.37/9.98 % (3207661)Instruction limit reached!
% 66.37/9.98 % (3207661)------------------------------
% 66.37/9.98 % (3207661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/11.97 % (3207661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/11.97 % (3207661)CaDiCaL version: 2.1.3
% 52.91/11.97 % (3207661)Termination reason: Instruction limit
% 52.91/11.97 % (3207661)Termination phase: Saturation
% 52.91/11.97 % (3207661)Time elapsed: 0.386 s
% 52.91/11.97 % (3207661)Peak memory usage: 22 MB
% 52.91/11.97 % (3207661)Instructions burned: 693 (million)
% 52.91/11.97 % (3207665)fmb+10_1_sil=64000:random_seed=3361414268:i=22061:nm=2:gsp=on_2987 on theBenchmark for (2987ds/22061Mi)
% 52.91/11.97 % TRYING [1]
% 52.91/11.97 % TRYING [2]
% 52.91/11.97 % TRYING [3]
% 52.91/11.97 % TRYING [4]
% 52.91/11.97 % (3207659)Instruction limit reached!
% 52.91/11.97 % (3207659)------------------------------
% 52.91/11.97 % (3207659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/11.97 % (3207659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/11.97 % (3207659)CaDiCaL version: 2.1.3
% 52.91/11.97 % (3207659)Termination reason: Instruction limit
% 52.91/11.97 % (3207659)Termination phase: Finite model building constraint generation
% 52.91/11.97 % (3207659)Time elapsed: 0.795 s
% 52.91/11.97 % (3207659)Peak memory usage: 107 MB
% 52.91/11.97 % (3207659)Instructions burned: 889 (million)
% 52.91/11.97 % (3207663)Instruction limit reached!
% 52.91/11.97 % (3207663)------------------------------
% 52.91/11.97 % (3207663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/11.97 % (3207663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/11.97 % (3207663)CaDiCaL version: 2.1.3
% 52.91/11.97 % (3207663)Termination reason: Instruction limit
% 52.91/11.97 % (3207663)Termination phase: Saturation
% 52.91/11.97 % (3207663)Time elapsed: 0.773 s
% 52.91/11.97 % (3207663)Peak memory usage: 21 MB
% 52.91/11.97 % (3207663)Instructions burned: 880 (million)
% 52.91/11.97 % (3207667)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=878966906:i=9515:nm=5_2983 on theBenchmark for (2983ds/9515Mi)
% 52.91/11.97 % TRYING [20]
% 52.91/11.97 % (3207669)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=656668566:fmbsr=1.7:i=920_2983 on theBenchmark for (2983ds/920Mi)
% 52.91/11.97 % TRYING [8]
% 52.91/11.97 % (3207657)Instruction limit reached!
% 52.91/11.97 % (3207657)------------------------------
% 52.91/11.97 % (3207657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/11.97 % (3207657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/11.97 % (3207657)CaDiCaL version: 2.1.3
% 52.91/11.97 % (3207657)Termination reason: Instruction limit
% 52.91/11.97 % (3207657)Termination phase: Saturation
% 52.91/11.97 % (3207657)Time elapsed: 1.176 s
% 52.91/11.97 % (3207657)Peak memory usage: 30 MB
% 52.91/11.97 % (3207657)Instructions burned: 1179 (million)
% 52.91/11.97 % (3207671)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1128274063:i=5131_2981 on theBenchmark for (2981ds/5131Mi)
% 52.91/11.97 % TRYING [6]
% 52.91/11.97 % TRYING [5]
% 52.91/11.97 % (3207669)Instruction limit reached!
% 52.91/11.97 % (3207669)------------------------------
% 52.91/11.97 % (3207669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/11.97 % (3207669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/11.97 % (3207669)CaDiCaL version: 2.1.3
% 52.91/11.97 % (3207669)Termination reason: Instruction limit
% 52.91/11.97 % (3207669)Termination phase: Finite model building constraint generation
% 52.91/11.97 % (3207669)Time elapsed: 0.668 s
% 52.91/11.97 % (3207669)Peak memory usage: 75 MB
% 52.91/11.97 % (3207669)Instructions burned: 920 (million)
% 52.91/11.97 % (3207673)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1456604342:i=1472:ins=7:fdi=8:gsp=on_2976 on theBenchmark for (2976ds/1472Mi)
% 52.91/11.97 % (3207673)Instruction limit reached!
% 52.91/11.97 % (3207673)------------------------------
% 52.91/11.97 % (3207673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/11.97 % (3207673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/11.97 % (3207673)CaDiCaL version: 2.1.3
% 52.91/11.97 % (3207673)Termination reason: Instruction limit
% 52.91/11.97 % (3207673)Termination phase: Saturation
% 52.91/11.97 % (3207673)Time elapsed: 1.508 s
% 52.91/11.97 % (3207673)Peak memory usage: 33 MB
% 52.91/11.97 % (3207673)Instructions burned: 1472 (million)
% 52.91/11.97 % (3207675)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2817944410:i=6324_2960 on theBenchmark for (2960ds/6324Mi)
% 52.91/11.97 % (3207675)Cannot represent all propositional literals internally
% 52.91/11.97 % (3207675)Refutation not found, incomplete strategy
% 52.91/11.97 % (3207675)------------------------------
% 52.91/11.97 % (3207675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/11.97 % (3207675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/11.97 % (3207675)CaDiCaL version: 2.1.3
% 52.91/11.97 % (3207675)Termination reason: Refutation not found, incomplete strategy
% 52.91/11.97 % (3207675)Time elapsed: 0.011 s
% 52.91/11.97 % (3207675)Peak memory usage: 11 MB
% 52.91/11.97 % (3207675)Instructions burned: 8 (million)
% 52.91/11.97 % (3207675)------------------------------
% 52.91/11.97 % (3207675)------------------------------
% 52.91/11.97 % (3207677)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1079982041:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 52.91/11.97 % TRYING [16]
% 52.91/11.97 % (3207677)Instruction limit reached!
% 52.91/11.97 % (3207677)------------------------------
% 52.91/11.97 % (3207677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/11.97 % (3207677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/11.97 % (3207677)CaDiCaL version: 2.1.3
% 52.91/11.97 % (3207677)Termination reason: Instruction limit
% 52.91/11.97 % (3207677)Termination phase: Finite model building constraint generation
% 52.91/11.97 % (3207677)Time elapsed: 1.476 s
% 52.91/11.97 % (3207677)Peak memory usage: 130 MB
% 52.91/11.97 % (3207677)Instructions burned: 2174 (million)
% 52.91/11.97 % (3207679)ott-2_1_sil=16000:newcnf=on:random_seed=2556222078:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2944 on theBenchmark for (2944ds/869Mi)
% 52.91/11.97 % (3207671)Instruction limit reached!
% 52.91/11.97 % (3207671)------------------------------
% 52.91/11.97 % (3207671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/11.97 % (3207671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/11.97 % (3207671)CaDiCaL version: 2.1.3
% 52.91/11.97 % (3207671)Termination reason: Instruction limit
% 52.91/11.97 % (3207671)Termination phase: Saturation
% 52.91/11.97 % (3207671)Time elapsed: 4.415 s
% 52.91/11.97 % (3207671)Peak memory usage: 39 MB
% 52.91/11.97 % (3207671)Instructions burned: 5131 (million)
% 52.91/11.97 % (3207679)Instruction limit reached!
% 52.91/11.97 % (3207679)------------------------------
% 52.91/11.97 % (3207679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/11.97 % (3207679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/11.97 % (3207679)CaDiCaL version: 2.1.3
% 52.91/11.97 % (3207679)Termination reason: Instruction limit
% 52.91/11.97 % (3207679)Termination phase: Saturation
% 52.91/11.97 % (3207679)Time elapsed: 0.830 s
% 52.91/11.97 % (3207679)Peak memory usage: 18 MB
% 52.91/11.97 % (3207679)Instructions burned: 869 (million)
% 52.91/11.97 % (3207681)ott+10_1_sil=32000:tgt=ground:random_seed=45136871:i=5114:av=off_2936 on theBenchmark for (2936ds/5114Mi)
% 52.91/11.97 % (3207682)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=175792505:i=54282_2936 on theBenchmark for (2936ds/54282Mi)
% 52.91/11.97 % TRYING [1]
% 52.91/11.97 % TRYING [2]
% 52.91/11.97 % TRYING [3]
% 52.91/11.97 % TRYING [4]
% 52.91/11.97 % TRYING [5]
% 52.91/11.97 % TRYING [6]
% 52.91/11.97 % (3207667)Instruction limit reached!
% 52.91/11.97 % (3207667)------------------------------
% 52.91/11.97 % (3207667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/11.97 % (3207667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/11.97 % (3207667)CaDiCaL version: 2.1.3
% 52.91/11.97 % (3207667)Termination reason: Instruction limit
% 52.91/11.97 % (3207667)Termination phase: Finite model building constraint generation
% 52.91/11.97 % (3207667)Time elapsed: 6.985 s
% 52.91/11.97 % (3207667)Peak memory usage: 591 MB
% 52.91/11.97 % (3207667)Instructions burned: 9516 (million)
% 52.91/11.97 % (3207685)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3994196416:i=3512:aac=none_2912 on theBenchmark for (2912ds/3512Mi)
% 52.91/11.97 % TRYING [6]
% 52.91/11.97 % (3207665)Instruction limit reached!
% 52.91/11.97 % (3207665)------------------------------
% 52.91/11.97 % (3207665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/11.97 % (3207665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/11.97 % (3207665)CaDiCaL version: 2.1.3
% 52.91/11.97 % (3207665)Termination reason: Instruction limit
% 52.91/11.97 % (3207665)Termination phase: Finite model building constraint generation
% 52.91/11.97 % (3207665)Time elapsed: 8.192 s
% 52.91/11.97 % (3207665)Peak memory usage: 277 MB
% 52.91/11.97 % (3207665)Instructions burned: 22063 (million)
% 52.91/11.97 % (3207687)dis+21_1_sil=32000:sas=cadical:random_seed=718215443:i=3773:amm=off_2905 on theBenchmark for (2905ds/3773Mi)
% 52.91/11.97 % TRYING [7]
% 52.91/11.97 % (3207681)Instruction limit reached!
% 52.91/11.97 % (3207681)------------------------------
% 52.91/11.97 % (3207681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/11.97 % (3207681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/11.97 % (3207681)CaDiCaL version: 2.1.3
% 52.91/11.97 % (3207681)Termination reason: Instruction limit
% 52.91/11.97 % (3207681)Termination phase: Saturation
% 52.91/11.97 % (3207681)Time elapsed: 4.963 s
% 52.91/11.97 % (3207681)Peak memory usage: 69 MB
% 52.91/11.97 % (3207681)Instructions burned: 5114 (million)
% 52.91/11.97 % (3207687)Instruction limit reached!
% 52.91/11.97 % (3207687)------------------------------
% 52.91/11.97 % (3207687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/11.97 % (3207687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/11.97 % (3207687)CaDiCaL version: 2.1.3
% 52.91/11.97 % (3207687)Termination reason: Instruction limit
% 52.91/11.97 % (3207687)Termination phase: Saturation
% 52.91/11.97 % (3207687)Time elapsed: 1.875 s
% 52.91/11.97 % (3207687)Peak memory usage: 51 MB
% 52.91/11.97 % (3207687)Instructions burned: 3774 (million)
% 52.91/11.97 % (3207689)ott+11_1_sil=16000:gs=on:random_seed=3365307256:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2886 on theBenchmark for (2886ds/2251Mi)
% 52.91/11.97 % (3207689) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3207624-3207689"...
% 52.91/11.97 % (3207689)...printing done.
% 52.91/11.97 % (3207689)Refutation found. Thanks to Tanya!
% 52.91/11.97 % SZS status Theorem for theBenchmark
% 52.91/11.97 % SZS output start Proof for theBenchmark
% See solution above
% 52.91/11.97 % (3207689)------------------------------
% 52.91/11.97 % (3207689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.91/11.97 % (3207689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.91/11.97 % (3207689)CaDiCaL version: 2.1.3
% 52.91/11.97 % (3207689)Termination reason: Refutation
% 52.91/11.97 % (3207689)Time elapsed: 0.015 s
% 52.91/11.97 % (3207689)Peak memory usage: 12 MB
% 52.91/11.97 % (3207689)Instructions burned: 12 (million)
% 52.91/11.97 % (3207624)Success in time 11.503 s
% 52.91/11.97 % Vampire exiting
%------------------------------------------------------------------------------