%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET751+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:44:32 PM UTC 2026
% Result : Theorem 38.03s 6.72s
% Output : Refutation 38.03s
% 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/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f22,axiom,
! [X0,X1,X2] :
( member(X2,image2(X0,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X0,X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',image2) ).
fof(f29,conjecture,
! [X0,X1,X2,X3,X4] :
( ( maps(X0,X1,X2)
& subset(X3,X1)
& subset(X4,X1)
& subset(X3,X4) )
=> subset(image2(X0,X3),image2(X0,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa01) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( maps(X0,X1,X2)
& subset(X3,X1)
& subset(X4,X1)
& subset(X3,X4) )
=> subset(image2(X0,X3),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(image2(X0,X3),image2(X0,X4))
& maps(X0,X1,X2)
& subset(X3,X1)
& subset(X4,X1)
& subset(X3,X4) ),
inference(ennf_transformation,[],[f30]) ).
fof(f42,plain,
? [X0,X1,X2,X3,X4] :
( ~ subset(image2(X0,X3),image2(X0,X4))
& maps(X0,X1,X2)
& subset(X3,X1)
& subset(X4,X1)
& 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(f77,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ member(X3,X1)
| ~ apply(X0,X3,X2) ) )
& ( ? [X3] :
( member(X3,X1)
& apply(X0,X3,X2) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ member(X3,X1)
| ~ apply(X0,X3,X2) ) )
& ( ? [X4] :
( member(X4,X1)
& apply(X0,X4,X2) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(rectify,[],[f77]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ member(X3,X1)
| ~ apply(X0,X3,X2) ) )
& ( ( member(sK8(X0,X1,X2),X1)
& apply(X0,sK8(X0,X1,X2),X2) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X4,sK8(X0,X1,X2))],[f78]) ).
fof(f91,plain,
( ~ subset(image2(sK12,sK15),image2(sK12,sK16))
& maps(sK12,sK13,sK14)
& subset(sK15,sK13)
& subset(sK16,sK13)
& 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(f131,plain,
! [X2,X0,X1] :
( ~ member(X2,image2(X0,X1))
| apply(X0,sK8(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ member(X2,image2(X0,X1))
| member(sK8(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1)
| member(X2,image2(X0,X1)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f145,plain,
subset(sK15,sK16),
inference(cnf_transformation,[],[f91]) ).
fof(f149,plain,
~ subset(image2(sK12,sK15),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(sK8(X0,X1,sK3(image2(X0,X1),X2)),X1)
| subset(image2(X0,X1),X2) ),
inference(resolution,[],[f132,f93]) ).
fof(f160,plain,
! [X2,X0,X1] :
( apply(X0,sK8(X0,X1,sK3(image2(X0,X1),X2)),sK3(image2(X0,X1),X2))
| subset(image2(X0,X1),X2) ),
inference(resolution,[],[f131,f93]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( member(sK8(X0,X1,sK3(image2(X0,X1),X2)),X3)
| subset(image2(X0,X1),X2)
| ~ subset(X1,X3) ),
inference(resolution,[],[f158,f92]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( ~ member(sK8(X0,X1,sK3(image2(X0,X1),X2)),X3)
| subset(image2(X0,X1),X2)
| member(sK3(image2(X0,X1),X2),image2(X0,X3)) ),
inference(resolution,[],[f160,f133]) ).
fof(f187,plain,
! [X2,X3,X0,X1,X4] :
( ~ subset(X3,X4)
| ~ subset(X1,X3)
| member(sK8(X0,X1,sK3(image2(X0,X1),X2)),X4)
| subset(image2(X0,X1),X2) ),
inference(resolution,[],[f174,f92]) ).
fof(f228,plain,
! [X2,X0,X1] :
( member(sK8(X1,X0,sK3(image2(X1,X0),X2)),sK16)
| ~ subset(X0,sK15)
| subset(image2(X1,X0),X2) ),
inference(resolution,[],[f187,f145]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ subset(X0,sK15)
| subset(image2(X1,X0),X2)
| subset(image2(X1,X0),X2)
| member(sK3(image2(X1,X0),X2),image2(X1,sK16)) ),
inference(resolution,[],[f228,f183]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ subset(X0,sK15)
| subset(image2(X1,X0),X2)
| member(sK3(image2(X1,X0),X2),image2(X1,sK16)) ),
inference(duplicate_literal_removal,[],[f231]) ).
fof(f237,plain,
! [X0,X1] :
( member(sK3(image2(X0,sK15),X1),image2(X0,sK16))
| subset(image2(X0,sK15),X1) ),
inference(resolution,[],[f233,f155]) ).
fof(f246,plain,
! [X0] :
( subset(image2(X0,sK15),image2(X0,sK16))
| subset(image2(X0,sK15),image2(X0,sK16)) ),
inference(resolution,[],[f237,f94]) ).
fof(f250,plain,
! [X0] : subset(image2(X0,sK15),image2(X0,sK16)),
inference(duplicate_literal_removal,[],[f246]) ).
fof(f253,plain,
$false,
inference(resolution,[],[f250,f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET751+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n020.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 : Mon Sep 28 02:44:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 15.53/2.67 % (3983103)Will run a generic schedule for satisfiability detection.
% 15.53/2.67 % (3983113)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2319232886:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.53/2.67 % (3983109)% WARNING: option uhcvi not known.
% 15.53/2.67 % (3983108)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1756475204_2999 on theBenchmark for (2999ds/0Mi)
% 15.53/2.67 % (3983110)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2341067712:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.53/2.67 % (3983111)dis+10_1_sil=32000:sp=arity:random_seed=883265996:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.53/2.67 % (3983112)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1376930036:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.53/2.67 % (3983114)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4194064147:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.53/2.67 % (3983109)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3218811723:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.53/2.67 % TRYING [1]
% 15.53/2.67 % TRYING [2]
% 15.53/2.67 % TRYING [3]
% 15.53/2.67 % (3983113)Instruction limit reached!
% 15.53/2.67 % (3983113)------------------------------
% 15.53/2.67 % (3983113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.53/2.67 % (3983113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.53/2.67 % (3983113)CaDiCaL version: 2.1.3
% 15.53/2.67 % (3983113)Termination reason: Instruction limit
% 15.53/2.67 % (3983113)Termination phase: Saturation
% 15.53/2.67 % (3983113)Time elapsed: 0.043 s
% 15.53/2.67 % (3983113)Peak memory usage: 13 MB
% 15.53/2.67 % (3983113)Instructions burned: 131 (million)
% 15.53/2.67 % TRYING [4]
% 15.53/2.67 % (3983122)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4282184744:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.53/2.67 % TRYING [1]
% 15.53/2.67 % TRYING [2]
% 15.53/2.67 % TRYING [3]
% 15.53/2.67 % (3983111)Instruction limit reached!
% 15.53/2.67 % (3983111)------------------------------
% 15.53/2.67 % (3983111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.53/2.67 % (3983111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.53/2.67 % (3983111)CaDiCaL version: 2.1.3
% 15.53/2.67 % (3983111)Termination reason: Instruction limit
% 15.53/2.67 % (3983111)Termination phase: Saturation
% 15.53/2.67 % (3983111)Time elapsed: 0.062 s
% 15.53/2.67 % (3983111)Peak memory usage: 12 MB
% 15.53/2.67 % (3983111)Instructions burned: 103 (million)
% 15.53/2.67 % (3983112)Instruction limit reached!
% 15.53/2.67 % (3983112)------------------------------
% 15.53/2.67 % (3983112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.53/2.67 % (3983112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.53/2.67 % (3983112)CaDiCaL version: 2.1.3
% 15.53/2.67 % (3983112)Termination reason: Instruction limit
% 15.53/2.67 % (3983112)Termination phase: Saturation
% 15.53/2.67 % (3983112)Time elapsed: 0.072 s
% 15.53/2.67 % (3983112)Peak memory usage: 12 MB
% 15.53/2.67 % (3983112)Instructions burned: 117 (million)
% 15.53/2.67 % TRYING [4]
% 15.53/2.67 % (3983124)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1968018316:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.53/2.67 % (3983125)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=2657047524:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.53/2.67 % (3983114)Instruction limit reached!
% 15.53/2.67 % (3983114)------------------------------
% 15.53/2.67 % (3983114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.53/2.67 % (3983114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.53/2.67 % (3983114)CaDiCaL version: 2.1.3
% 15.53/2.67 % (3983114)Termination reason: Instruction limit
% 15.53/2.67 % (3983114)Termination phase: Saturation
% 15.53/2.67 % (3983114)Time elapsed: 0.097 s
% 15.53/2.67 % (3983114)Peak memory usage: 13 MB
% 15.53/2.67 % (3983114)Instructions burned: 159 (million)
% 15.53/2.67 % (3983128)ott-21_1_sil=16000:fs=off:random_seed=3143214873:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.53/2.67 % (3983124)Instruction limit reached!
% 15.53/2.67 % (3983124)------------------------------
% 15.53/2.67 % (3983124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.53/2.67 % (3983124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/5.89 % (3983124)CaDiCaL version: 2.1.3
% 38.18/5.89 % (3983124)Termination reason: Instruction limit
% 38.18/5.89 % (3983124)Termination phase: Saturation
% 38.18/5.89 % (3983124)Time elapsed: 0.090 s
% 38.18/5.89 % (3983124)Peak memory usage: 13 MB
% 38.18/5.89 % (3983124)Instructions burned: 132 (million)
% 38.18/5.89 % (3983122)Instruction limit reached!
% 38.18/5.89 % (3983122)------------------------------
% 38.18/5.89 % (3983122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/5.89 % (3983122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/5.89 % (3983122)CaDiCaL version: 2.1.3
% 38.18/5.89 % (3983122)Termination reason: Instruction limit
% 38.18/5.89 % (3983122)Termination phase: Finite model building constraint generation
% 38.18/5.89 % (3983122)Time elapsed: 0.140 s
% 38.18/5.89 % (3983122)Peak memory usage: 36 MB
% 38.18/5.89 % (3983122)Instructions burned: 718 (million)
% 38.18/5.89 % (3983130)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1915891675:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 38.18/5.89 % (3983131)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3570284537:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 38.18/5.89 % TRYING [1]
% 38.18/5.89 % TRYING [2]
% 38.18/5.89 % (3983128)Instruction limit reached!
% 38.18/5.89 % (3983128)------------------------------
% 38.18/5.89 % (3983128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/5.89 % (3983128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/5.89 % (3983128)CaDiCaL version: 2.1.3
% 38.18/5.89 % (3983128)Termination reason: Instruction limit
% 38.18/5.89 % (3983128)Termination phase: Saturation
% 38.18/5.89 % (3983128)Time elapsed: 0.098 s
% 38.18/5.89 % (3983128)Peak memory usage: 14 MB
% 38.18/5.89 % (3983128)Instructions burned: 182 (million)
% 38.18/5.89 % (3983134)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2805709678:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 38.18/5.89 % TRYING [3]
% 38.18/5.89 % TRYING [5]
% 38.18/5.89 % (3983131)Instruction limit reached!
% 38.18/5.89 % (3983131)------------------------------
% 38.18/5.89 % (3983131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/5.89 % (3983131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/5.89 % (3983131)CaDiCaL version: 2.1.3
% 38.18/5.89 % (3983131)Termination reason: Instruction limit
% 38.18/5.89 % (3983131)Termination phase: Finite model building SAT solving
% 38.18/5.89 % (3983131)Time elapsed: 0.200 s
% 38.18/5.89 % (3983131)Peak memory usage: 45 MB
% 38.18/5.89 % (3983131)Instructions burned: 865 (million)
% 38.18/5.89 % (3983136)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1953878898:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 38.18/5.89 % (3983125)Instruction limit reached!
% 38.18/5.89 % (3983125)------------------------------
% 38.18/5.89 % (3983125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/5.89 % (3983125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/5.89 % (3983125)CaDiCaL version: 2.1.3
% 38.18/5.89 % (3983125)Termination reason: Instruction limit
% 38.18/5.89 % (3983125)Termination phase: Saturation
% 38.18/5.89 % (3983125)Time elapsed: 0.384 s
% 38.18/5.89 % (3983125)Peak memory usage: 18 MB
% 38.18/5.89 % (3983125)Instructions burned: 684 (million)
% 38.18/5.89 % (3983130)Instruction limit reached!
% 38.18/5.89 % (3983130)------------------------------
% 38.18/5.89 % (3983130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.18/5.89 % (3983130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.18/5.89 % (3983130)CaDiCaL version: 2.1.3
% 38.18/5.89 % (3983130)Termination reason: Instruction limit
% 38.18/5.89 % (3983130)Termination phase: Saturation
% 38.18/5.89 % (3983130)Time elapsed: 0.301 s
% 38.18/5.89 % (3983130)Peak memory usage: 15 MB
% 38.18/5.89 % (3983130)Instructions burned: 478 (million)
% 38.18/5.89 % (3983138)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=4018874609: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)
% 38.18/5.89 % (3983139)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=489915052:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 38.18/5.89 % (3983136)Instruction limit reached!
% 38.18/5.89 % (3983136)------------------------------
% 38.18/5.89 % (3983136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.03/6.72 % (3983136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.03/6.72 % (3983136)CaDiCaL version: 2.1.3
% 38.03/6.72 % (3983136)Termination reason: Instruction limit
% 38.03/6.72 % (3983136)Termination phase: Finite model building constraint generation
% 38.03/6.72 % (3983136)Time elapsed: 0.234 s
% 38.03/6.72 % (3983136)Peak memory usage: 107 MB
% 38.03/6.72 % (3983136)Instructions burned: 889 (million)
% 38.03/6.72 % (3983142)fmb+10_1_sil=64000:random_seed=3169018440:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 38.03/6.72 % TRYING [1]
% 38.03/6.72 % TRYING [2]
% 38.03/6.72 % TRYING [3]
% 38.03/6.72 % TRYING [4]
% 38.03/6.72 % (3983138)Instruction limit reached!
% 38.03/6.72 % (3983138)------------------------------
% 38.03/6.72 % (3983138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.03/6.72 % (3983138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.03/6.72 % (3983138)CaDiCaL version: 2.1.3
% 38.03/6.72 % (3983138)Termination reason: Instruction limit
% 38.03/6.72 % (3983138)Termination phase: Saturation
% 38.03/6.72 % (3983138)Time elapsed: 0.411 s
% 38.03/6.72 % (3983138)Peak memory usage: 19 MB
% 38.03/6.72 % (3983138)Instructions burned: 692 (million)
% 38.03/6.72 % (3983144)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2242011758:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 38.03/6.72 % TRYING [20]
% 38.03/6.72 % (3983134)Instruction limit reached!
% 38.03/6.72 % (3983134)------------------------------
% 38.03/6.72 % (3983134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.03/6.72 % (3983134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.03/6.72 % (3983134)CaDiCaL version: 2.1.3
% 38.03/6.72 % (3983134)Termination reason: Instruction limit
% 38.03/6.72 % (3983134)Termination phase: Saturation
% 38.03/6.72 % (3983134)Time elapsed: 0.715 s
% 38.03/6.72 % (3983134)Peak memory usage: 30 MB
% 38.03/6.72 % (3983134)Instructions burned: 1179 (million)
% 38.03/6.72 % (3983146)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2274491025:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 38.03/6.72 % TRYING [8]
% 38.03/6.72 % (3983139)Instruction limit reached!
% 38.03/6.72 % (3983139)------------------------------
% 38.03/6.72 % (3983139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.03/6.72 % (3983139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.03/6.72 % (3983139)CaDiCaL version: 2.1.3
% 38.03/6.72 % (3983139)Termination reason: Instruction limit
% 38.03/6.72 % (3983139)Termination phase: Saturation
% 38.03/6.72 % (3983139)Time elapsed: 0.478 s
% 38.03/6.72 % (3983139)Peak memory usage: 21 MB
% 38.03/6.72 % (3983139)Instructions burned: 879 (million)
% 38.03/6.72 % (3983148)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=195182856:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 38.03/6.72 % TRYING [5]
% 38.03/6.72 % (3983146)Instruction limit reached!
% 38.03/6.72 % (3983146)------------------------------
% 38.03/6.72 % (3983146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.03/6.72 % (3983146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.03/6.72 % (3983146)CaDiCaL version: 2.1.3
% 38.03/6.72 % (3983146)Termination reason: Instruction limit
% 38.03/6.72 % (3983146)Termination phase: Finite model building constraint generation
% 38.03/6.72 % (3983146)Time elapsed: 0.325 s
% 38.03/6.72 % (3983146)Peak memory usage: 74 MB
% 38.03/6.72 % (3983146)Instructions burned: 920 (million)
% 38.03/6.72 % TRYING [6]
% 38.03/6.72 % (3983150)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2097899384:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 38.03/6.72 % (3983150)Instruction limit reached!
% 38.03/6.72 % (3983150)------------------------------
% 38.03/6.72 % (3983150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.03/6.72 % (3983150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.03/6.72 % (3983150)CaDiCaL version: 2.1.3
% 38.03/6.72 % (3983150)Termination reason: Instruction limit
% 38.03/6.72 % (3983150)Termination phase: Saturation
% 38.03/6.72 % (3983150)Time elapsed: 0.875 s
% 38.03/6.72 % (3983150)Peak memory usage: 33 MB
% 38.03/6.72 % (3983150)Instructions burned: 1473 (million)
% 38.03/6.72 % (3983152)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=251250214:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 38.03/6.72 % (3983152)Cannot represent all propositional literals internally
% 38.03/6.72 % (3983152)Refutation not found, incomplete strategy
% 38.03/6.72 % (3983152)------------------------------
% 38.03/6.72 % (3983152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.03/6.72 % (3983152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.03/6.72 % (3983152)CaDiCaL version: 2.1.3
% 38.03/6.72 % (3983152)Termination reason: Refutation not found, incomplete strategy
% 38.03/6.72 % (3983152)Time elapsed: 0.005 s
% 38.03/6.72 % (3983152)Peak memory usage: 10 MB
% 38.03/6.72 % (3983152)Instructions burned: 8 (million)
% 38.03/6.72 % (3983152)------------------------------
% 38.03/6.72 % (3983152)------------------------------
% 38.03/6.72 % (3983154)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1648300020:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 38.03/6.72 % TRYING [16]
% 38.03/6.72 % (3983154)Instruction limit reached!
% 38.03/6.72 % (3983154)------------------------------
% 38.03/6.72 % (3983154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.03/6.72 % (3983154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.03/6.72 % (3983154)CaDiCaL version: 2.1.3
% 38.03/6.72 % (3983154)Termination reason: Instruction limit
% 38.03/6.72 % (3983154)Termination phase: Finite model building constraint generation
% 38.03/6.72 % (3983154)Time elapsed: 0.730 s
% 38.03/6.72 % (3983154)Peak memory usage: 130 MB
% 38.03/6.72 % (3983154)Instructions burned: 2177 (million)
% 38.03/6.72 % (3983156)ott-2_1_sil=16000:newcnf=on:random_seed=1782067603:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2969 on theBenchmark for (2969ds/869Mi)
% 38.03/6.72 % (3983156)Instruction limit reached!
% 38.03/6.72 % (3983156)------------------------------
% 38.03/6.72 % (3983156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.03/6.72 % (3983156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.03/6.72 % (3983156)CaDiCaL version: 2.1.3
% 38.03/6.72 % (3983156)Termination reason: Instruction limit
% 38.03/6.72 % (3983156)Termination phase: Saturation
% 38.03/6.72 % (3983156)Time elapsed: 0.523 s
% 38.03/6.72 % (3983156)Peak memory usage: 16 MB
% 38.03/6.72 % (3983156)Instructions burned: 870 (million)
% 38.03/6.72 % (3983159)ott+10_1_sil=32000:tgt=ground:random_seed=1004063395:i=5114:av=off_2964 on theBenchmark for (2964ds/5114Mi)
% 38.03/6.72 % (3983148)Instruction limit reached!
% 38.03/6.72 % (3983148)------------------------------
% 38.03/6.72 % (3983148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.03/6.72 % (3983148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.03/6.72 % (3983148)CaDiCaL version: 2.1.3
% 38.03/6.72 % (3983148)Termination reason: Instruction limit
% 38.03/6.72 % (3983148)Termination phase: Saturation
% 38.03/6.72 % (3983148)Time elapsed: 2.711 s
% 38.03/6.72 % (3983148)Peak memory usage: 39 MB
% 38.03/6.72 % (3983148)Instructions burned: 5133 (million)
% 38.03/6.72 % (3983161)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1231853413:i=54282_2962 on theBenchmark for (2962ds/54282Mi)
% 38.03/6.72 % TRYING [1]
% 38.03/6.72 % TRYING [2]
% 38.03/6.72 % TRYING [3]
% 38.03/6.72 % TRYING [4]
% 38.03/6.72 % TRYING [5]
% 38.03/6.72 % (3983144)Instruction limit reached!
% 38.03/6.72 % (3983144)------------------------------
% 38.03/6.72 % (3983144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.03/6.72 % (3983144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.03/6.72 % (3983144)CaDiCaL version: 2.1.3
% 38.03/6.72 % (3983144)Termination reason: Instruction limit
% 38.03/6.72 % (3983144)Termination phase: Finite model building constraint generation
% 38.03/6.72 % (3983144)Time elapsed: 3.360 s
% 38.03/6.72 % (3983144)Peak memory usage: 591 MB
% 38.03/6.72 % (3983144)Instructions burned: 9518 (million)
% 38.03/6.72 % (3983163)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3207925831:i=3512:aac=none_2956 on theBenchmark for (2956ds/3512Mi)
% 38.03/6.72 % TRYING [6]
% 38.03/6.72 % TRYING [6]
% 38.03/6.72 % TRYING [7]
% 38.03/6.72 % (3983142)Instruction limit reached!
% 38.03/6.72 % (3983142)------------------------------
% 38.03/6.72 % (3983142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.03/6.72 % (3983142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.03/6.72 % (3983142)CaDiCaL version: 2.1.3
% 38.03/6.72 % (3983142)Termination reason: Instruction limit
% 38.03/6.72 % (3983142)Termination phase: Finite model building constraint generation
% 38.03/6.72 % (3983142)Time elapsed: 4.742 s
% 38.03/6.72 % (3983142)Peak memory usage: 311 MB
% 38.03/6.72 % (3983142)Instructions burned: 22063 (million)
% 38.03/6.72 % (3983165)dis+21_1_sil=32000:sas=cadical:random_seed=899035049:i=3773:amm=off_2945 on theBenchmark for (2945ds/3773Mi)
% 38.03/6.72 % (3983163)Instruction limit reached!
% 38.03/6.72 % (3983163)------------------------------
% 38.03/6.72 % (3983163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.03/6.72 % (3983163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.03/6.72 % (3983163)CaDiCaL version: 2.1.3
% 38.03/6.72 % (3983163)Termination reason: Instruction limit
% 38.03/6.72 % (3983163)Termination phase: Saturation
% 38.03/6.72 % (3983163)Time elapsed: 1.778 s
% 38.03/6.72 % (3983163)Peak memory usage: 24 MB
% 38.03/6.72 % (3983163)Instructions burned: 3513 (million)
% 38.03/6.72 % (3983167)ott+11_1_sil=16000:gs=on:random_seed=3391421007:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2938 on theBenchmark for (2938ds/2251Mi)
% 38.03/6.72 % (3983167) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3983103-3983167"...
% 38.03/6.72 % (3983167)...printing done.
% 38.03/6.72 % (3983167)Refutation found. Thanks to Tanya!
% 38.03/6.72 % SZS status Theorem for theBenchmark
% 38.03/6.72 % SZS output start Proof for theBenchmark
% See solution above
% 38.03/6.72 % (3983167)------------------------------
% 38.03/6.72 % (3983167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.03/6.72 % (3983167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.03/6.72 % (3983167)CaDiCaL version: 2.1.3
% 38.03/6.72 % (3983167)Termination reason: Refutation
% 38.03/6.72 % (3983167)Time elapsed: 0.009 s
% 38.03/6.72 % (3983167)Peak memory usage: 11 MB
% 38.03/6.72 % (3983167)Instructions burned: 12 (million)
% 38.03/6.72 % (3983103)Success in time 6.308 s
% 38.03/6.72 % Vampire exiting
%------------------------------------------------------------------------------