%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET731+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 : n004.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 12:44:30 PM UTC 2026
% Result : Theorem 1.67s 0.77s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 7 unt; 0 def)
% Number of atoms : 97 ( 5 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 91 ( 25 ~; 33 |; 20 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 83 ( 69 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X0,X4,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',surjective) ).
fof(f22,axiom,
! [X0,X1,X2] :
( member(X2,image2(X0,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X0,X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',image2) ).
fof(f29,conjecture,
! [X0,X1,X2,X3,X4] :
( ( maps(X0,X2,X3)
& subset(X4,X3)
& image2(X0,X2) = X4
& ! [X5,X6] :
( ( member(X5,X2)
& member(X6,X4) )
=> ( apply(X1,X5,X6)
<=> apply(X0,X5,X6) ) ) )
=> surjective(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII22) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( maps(X0,X2,X3)
& subset(X4,X3)
& image2(X0,X2) = X4
& ! [X5,X6] :
( ( member(X5,X2)
& member(X6,X4) )
=> ( apply(X1,X5,X6)
<=> apply(X0,X5,X6) ) ) )
=> surjective(X1,X2,X4) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ! [X3] :
( member(X3,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X0,X4,X3) ) )
=> surjective(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
fof(f40,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ member(X4,X1)
| ~ apply(X0,X4,X3) )
& member(X3,X2) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f43,plain,
? [X0,X1,X2,X3,X4] :
( ~ surjective(X1,X2,X4)
& maps(X0,X2,X3)
& subset(X4,X3)
& image2(X0,X2) = X4
& ! [X5,X6] :
( ( apply(X1,X5,X6)
<=> apply(X0,X5,X6) )
| ~ member(X5,X2)
| ~ member(X6,X4) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f44,plain,
? [X0,X1,X2,X3,X4] :
( ~ surjective(X1,X2,X4)
& maps(X0,X2,X3)
& subset(X4,X3)
& image2(X0,X2) = X4
& ! [X5,X6] :
( ( apply(X1,X5,X6)
<=> apply(X0,X5,X6) )
| ~ member(X5,X2)
| ~ member(X6,X4) ) ),
inference(flattening,[],[f43]) ).
fof(f78,plain,
! [X2,X0,X1,X4] :
( ~ apply(X0,X4,sK5(X0,X1,X2))
| ~ member(X4,X1)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f79,plain,
! [X2,X0,X1] :
( member(sK5(X0,X1,X2),X2)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f82,plain,
! [X2,X0,X1] :
( apply(X0,sK6(X0,X1,X2),X2)
| ~ member(X2,image2(X0,X1)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f83,plain,
! [X2,X0,X1] :
( member(sK6(X0,X1,X2),X1)
| ~ member(X2,image2(X0,X1)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f96,plain,
! [X6,X5] :
( ~ member(X6,sK14)
| ~ member(X5,sK12)
| ~ apply(sK10,X5,X6)
| apply(sK11,X5,X6) ),
inference(cnf_transformation,[],[f44]) ).
fof(f98,plain,
sK14 = image2(sK10,sK12),
inference(cnf_transformation,[],[f44]) ).
fof(f101,plain,
~ surjective(sK11,sK12,sK14),
inference(cnf_transformation,[],[f44]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ surjective(X0,X1,X2)
| ~ member(sK5(X0,X1,X2),X2) ),
inference(consistent_polarity_flipping,[],[f79]) ).
fof(f139,plain,
! [X2,X0,X1,X4] :
( ~ surjective(X0,X1,X2)
| member(X4,X1)
| ~ apply(X0,X4,sK5(X0,X1,X2)) ),
inference(consistent_polarity_flipping,[],[f78]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ member(sK6(X0,X1,X2),X1)
| member(X2,image2(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f83]) ).
fof(f144,plain,
! [X2,X0,X1] :
( apply(X0,sK6(X0,X1,X2),X2)
| member(X2,image2(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f82]) ).
fof(f156,plain,
surjective(sK11,sK12,sK14),
inference(consistent_polarity_flipping,[],[f101]) ).
fof(f160,plain,
! [X6,X5] :
( ~ apply(sK10,X5,X6)
| member(X5,sK12)
| member(X6,sK14)
| apply(sK11,X5,X6) ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f226,plain,
~ member(sK5(sK11,sK12,sK14),sK14),
inference(resolution,[],[f138,f156]) ).
fof(f285,plain,
! [X0,X1] :
( apply(sK11,sK6(sK10,X1,X0),X0)
| member(sK6(sK10,X1,X0),sK12)
| member(X0,sK14)
| member(X0,image2(sK10,X1)) ),
inference(resolution,[],[f144,f160]) ).
fof(f473,plain,
! [X0] :
( ~ apply(sK11,X0,sK5(sK11,sK12,sK14))
| member(X0,sK12) ),
inference(resolution,[],[f139,f156]) ).
fof(f518,plain,
! [X0] :
( member(sK6(sK10,X0,sK5(sK11,sK12,sK14)),sK12)
| member(sK6(sK10,X0,sK5(sK11,sK12,sK14)),sK12)
| member(sK5(sK11,sK12,sK14),sK14)
| member(sK5(sK11,sK12,sK14),image2(sK10,X0)) ),
inference(resolution,[],[f473,f285]) ).
fof(f521,plain,
! [X0] :
( member(sK6(sK10,X0,sK5(sK11,sK12,sK14)),sK12)
| member(sK5(sK11,sK12,sK14),sK14)
| member(sK5(sK11,sK12,sK14),image2(sK10,X0)) ),
inference(duplicate_literal_removal,[],[f518]) ).
fof(f522,plain,
! [X0] :
( member(sK6(sK10,X0,sK5(sK11,sK12,sK14)),sK12)
| member(sK5(sK11,sK12,sK14),image2(sK10,X0)) ),
inference(forward_subsumption_resolution,[],[f521,f226]) ).
fof(f7588,plain,
( member(sK5(sK11,sK12,sK14),image2(sK10,sK12))
| member(sK5(sK11,sK12,sK14),image2(sK10,sK12)) ),
inference(resolution,[],[f522,f143]) ).
fof(f7616,plain,
member(sK5(sK11,sK12,sK14),image2(sK10,sK12)),
inference(duplicate_literal_removal,[],[f7588]) ).
fof(f7617,plain,
member(sK5(sK11,sK12,sK14),sK14),
inference(forward_demodulation,[],[f7616,f98]) ).
fof(f7618,plain,
$false,
inference(forward_subsumption_resolution,[],[f7617,f226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET731+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 02:39:38 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 1.67/0.77 % (4097167)Will run a generic schedule for satisfiability detection.
% 1.67/0.77 % (4097175)dis+10_1_sil=32000:sp=arity:random_seed=275174626:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.67/0.77 % (4097173)% WARNING: option uhcvi not known.
% 1.67/0.77 % (4097172)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1507185774_2999 on theBenchmark for (2999ds/0Mi)
% 1.67/0.77 % (4097173)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2294083205:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.67/0.77 % (4097176)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=535193493:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.67/0.77 % (4097174)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2994635226:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.67/0.77 % (4097177)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2131210992:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.67/0.77 % (4097178)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2714376027:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.67/0.77 % TRYING [1]
% 1.67/0.77 % TRYING [2]
% 1.67/0.77 % TRYING [3]
% 1.67/0.77 % (4097175)Instruction limit reached!
% 1.67/0.77 % (4097175)------------------------------
% 1.67/0.77 % (4097175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.77 % (4097175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.77 % (4097175)CaDiCaL version: 2.1.3
% 1.67/0.77 % (4097175)Termination reason: Instruction limit
% 1.67/0.77 % (4097175)Termination phase: Saturation
% 1.67/0.77 % (4097175)Time elapsed: 0.035 s
% 1.67/0.77 % (4097175)Peak memory usage: 12 MB
% 1.67/0.77 % (4097175)Instructions burned: 104 (million)
% 1.67/0.77 % (4097186)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2287594807:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.67/0.77 % TRYING [1]
% 1.67/0.77 % TRYING [2]
% 1.67/0.77 % TRYING [3]
% 1.67/0.77 % TRYING [4]
% 1.67/0.77 % TRYING [4]
% 1.67/0.77 % (4097176)Instruction limit reached!
% 1.67/0.77 % (4097176)------------------------------
% 1.67/0.77 % (4097176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.77 % (4097176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.77 % (4097176)CaDiCaL version: 2.1.3
% 1.67/0.77 % (4097176)Termination reason: Instruction limit
% 1.67/0.77 % (4097176)Termination phase: Saturation
% 1.67/0.77 % (4097176)Time elapsed: 0.072 s
% 1.67/0.77 % (4097176)Peak memory usage: 13 MB
% 1.67/0.77 % (4097176)Instructions burned: 117 (million)
% 1.67/0.77 % (4097177)Instruction limit reached!
% 1.67/0.77 % (4097177)------------------------------
% 1.67/0.77 % (4097177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.77 % (4097177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.77 % (4097177)CaDiCaL version: 2.1.3
% 1.67/0.77 % (4097177)Termination reason: Instruction limit
% 1.67/0.77 % (4097177)Termination phase: Saturation
% 1.67/0.77 % (4097177)Time elapsed: 0.077 s
% 1.67/0.77 % (4097177)Peak memory usage: 13 MB
% 1.67/0.77 % (4097177)Instructions burned: 131 (million)
% 1.67/0.77 % (4097188)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3403118055:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.67/0.77 % (4097189)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=1460771148:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.67/0.77 % (4097178)Instruction limit reached!
% 1.67/0.77 % (4097178)------------------------------
% 1.67/0.77 % (4097178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.77 % (4097178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.77 % (4097178)CaDiCaL version: 2.1.3
% 1.67/0.77 % (4097178)Termination reason: Instruction limit
% 1.67/0.77 % (4097178)Termination phase: Saturation
% 1.67/0.77 % (4097178)Time elapsed: 0.103 s
% 1.67/0.77 % (4097178)Peak memory usage: 13 MB
% 1.67/0.77 % (4097178)Instructions burned: 160 (million)
% 1.67/0.77 % (4097192)ott-21_1_sil=16000:fs=off:random_seed=956675977:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.67/0.77 % (4097188)Instruction limit reached!
% 1.67/0.77 % (4097188)------------------------------
% 1.67/0.77 % (4097188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.77 % (4097188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.77 % (4097188)CaDiCaL version: 2.1.3
% 1.67/0.77 % (4097188)Termination reason: Instruction limit
% 1.67/0.77 % (4097188)Termination phase: Saturation
% 1.67/0.77 % (4097188)Time elapsed: 0.084 s
% 1.67/0.77 % (4097188)Peak memory usage: 14 MB
% 1.67/0.77 % (4097188)Instructions burned: 131 (million)
% 1.67/0.77 % (4097186)Instruction limit reached!
% 1.67/0.77 % (4097186)------------------------------
% 1.67/0.77 % (4097186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.77 % (4097186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.77 % (4097186)CaDiCaL version: 2.1.3
% 1.67/0.77 % (4097186)Termination reason: Instruction limit
% 1.67/0.77 % (4097186)Termination phase: Finite model building constraint generation
% 1.67/0.77 % (4097186)Time elapsed: 0.139 s
% 1.67/0.77 % (4097186)Peak memory usage: 36 MB
% 1.67/0.77 % (4097186)Instructions burned: 716 (million)
% 1.67/0.77 % (4097194)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3202042390:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.67/0.77 % (4097195)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2043662665:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.67/0.77 % TRYING [1]
% 1.67/0.77 % TRYING [2]
% 1.67/0.77 % (4097192)Instruction limit reached!
% 1.67/0.77 % (4097192)------------------------------
% 1.67/0.77 % (4097192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.77 % (4097192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.77 % (4097192)CaDiCaL version: 2.1.3
% 1.67/0.77 % (4097192)Termination reason: Instruction limit
% 1.67/0.77 % (4097192)Termination phase: Saturation
% 1.67/0.77 % (4097192)Time elapsed: 0.096 s
% 1.67/0.77 % (4097192)Peak memory usage: 13 MB
% 1.67/0.77 % (4097192)Instructions burned: 181 (million)
% 1.67/0.77 % (4097198)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1827091864:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.67/0.77 % TRYING [3]
% 1.67/0.77 % TRYING [5]
% 1.67/0.77 % (4097173) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4097167-4097173"...
% 1.67/0.77 % (4097173)...printing done.
% 1.67/0.77 % (4097173)Refutation found. Thanks to Tanya!
% 1.67/0.77 % SZS status Theorem for theBenchmark
% 1.67/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.77 % (4097173)------------------------------
% 1.67/0.77 % (4097173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.77 % (4097173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.77 % (4097173)CaDiCaL version: 2.1.3
% 1.67/0.77 % (4097173)Termination reason: Refutation
% 1.67/0.77 % (4097173)Time elapsed: 0.301 s
% 1.67/0.77 % (4097173)Peak memory usage: 16 MB
% 1.67/0.77 % (4097173)Instructions burned: 530 (million)
% 1.67/0.77 % (4097167)Success in time 0.344 s
% 1.67/0.77 % Vampire exiting
%------------------------------------------------------------------------------