%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET082+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 12:43:01 PM UTC 2026
% Result : Theorem 4.49s 1.12s
% Output : Refutation 4.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 49 ( 29 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 37 ( 10 ~; 17 |; 6 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 23 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( member(X0,unordered_pair(X1,X2))
<=> ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
fof(f41,axiom,
! [X0] :
( X0 != null_class
=> ? [X1] :
( member(X1,universal_class)
& member(X1,X0)
& disjoint(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',regularity) ).
fof(f44,conjecture,
! [X0] :
( ~ member(X0,universal_class)
=> singleton(X0) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_is_null_class) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( ~ member(X0,universal_class)
=> singleton(X0) = null_class ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f57,plain,
! [X0] :
( ? [X1] :
( member(X1,universal_class)
& member(X1,X0)
& disjoint(X1,X0) )
| null_class = X0 ),
inference(ennf_transformation,[],[f41]) ).
fof(f60,plain,
? [X0] :
( singleton(X0) != null_class
& ~ member(X0,universal_class) ),
inference(ennf_transformation,[],[f45]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f143,plain,
! [X0] :
( member(sK4(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f144,plain,
! [X0] :
( member(sK4(X0),universal_class)
| null_class = X0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f148,plain,
~ member(sK6,universal_class),
inference(cnf_transformation,[],[f60]) ).
fof(f149,plain,
null_class != singleton(sK6),
inference(cnf_transformation,[],[f60]) ).
fof(f187,plain,
null_class != unordered_pair(sK6,sK6),
inference(definition_unfolding,[],[f149,f73]) ).
fof(f342,plain,
! [X0,X1] :
( sK4(unordered_pair(X0,X1)) = X0
| sK4(unordered_pair(X0,X1)) = X1
| unordered_pair(X0,X1) = null_class ),
inference(resolution,[],[f70,f143]) ).
fof(f2424,plain,
! [X0,X1] :
( member(X0,universal_class)
| null_class = unordered_pair(X1,X0)
| sK4(unordered_pair(X1,X0)) = X1
| null_class = unordered_pair(X1,X0) ),
inference(superposition,[],[f144,f342]) ).
fof(f2431,plain,
! [X0,X1] :
( member(X0,universal_class)
| null_class = unordered_pair(X1,X0)
| sK4(unordered_pair(X1,X0)) = X1 ),
inference(duplicate_literal_removal,[],[f2424]) ).
fof(f27322,plain,
! [X0] :
( sK4(unordered_pair(X0,sK6)) = X0
| null_class = unordered_pair(X0,sK6) ),
inference(resolution,[],[f2431,f148]) ).
fof(f28616,plain,
! [X0] :
( member(X0,universal_class)
| null_class = unordered_pair(X0,sK6)
| null_class = unordered_pair(X0,sK6) ),
inference(superposition,[],[f144,f27322]) ).
fof(f28651,plain,
! [X0] :
( member(X0,universal_class)
| null_class = unordered_pair(X0,sK6) ),
inference(duplicate_literal_removal,[],[f28616]) ).
fof(f28837,plain,
null_class = unordered_pair(sK6,sK6),
inference(resolution,[],[f28651,f148]) ).
fof(f28838,plain,
$false,
inference(forward_subsumption_resolution,[],[f28837,f187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET082+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 00:34:54 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.39 Running first-order model finding
% 0.03/0.39 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
% 4.49/1.12 % (1758681)Will run a generic schedule for satisfiability detection.
% 4.49/1.12 % (1758688)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2972294241:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.49/1.12 % (1758687)% WARNING: option uhcvi not known.
% 4.49/1.12 % (1758686)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=691930700_2999 on theBenchmark for (2999ds/0Mi)
% 4.49/1.12 % (1758687)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3407550756:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.49/1.12 % (1758689)dis+10_1_sil=32000:sp=arity:random_seed=799889500:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.49/1.12 % (1758690)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3846909483:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.49/1.12 % (1758691)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1101691987:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.49/1.12 % (1758692)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1418235826:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.49/1.12 % TRYING [1]
% 4.49/1.12 % TRYING [2]
% 4.49/1.12 % TRYING [3]
% 4.49/1.12 % (1758689)Instruction limit reached!
% 4.49/1.12 % (1758689)------------------------------
% 4.49/1.12 % (1758689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.49/1.12 % (1758689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.12 % (1758689)CaDiCaL version: 2.1.3
% 4.49/1.12 % (1758689)Termination reason: Instruction limit
% 4.49/1.12 % (1758689)Termination phase: Saturation
% 4.49/1.12 % (1758689)Time elapsed: 0.065 s
% 4.49/1.12 % (1758689)Peak memory usage: 13 MB
% 4.49/1.12 % (1758689)Instructions burned: 103 (million)
% 4.49/1.12 % (1758690)Instruction limit reached!
% 4.49/1.12 % (1758690)------------------------------
% 4.49/1.12 % (1758690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.49/1.12 % (1758690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.12 % (1758690)CaDiCaL version: 2.1.3
% 4.49/1.12 % (1758690)Termination reason: Instruction limit
% 4.49/1.12 % (1758690)Termination phase: Saturation
% 4.49/1.12 % (1758690)Time elapsed: 0.069 s
% 4.49/1.12 % (1758690)Peak memory usage: 13 MB
% 4.49/1.12 % (1758690)Instructions burned: 117 (million)
% 4.49/1.12 % (1758691)Instruction limit reached!
% 4.49/1.12 % (1758691)------------------------------
% 4.49/1.12 % (1758691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.49/1.12 % (1758691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.12 % (1758691)CaDiCaL version: 2.1.3
% 4.49/1.12 % (1758691)Termination reason: Instruction limit
% 4.49/1.12 % (1758691)Termination phase: Saturation
% 4.49/1.12 % (1758691)Time elapsed: 0.075 s
% 4.49/1.12 % (1758691)Peak memory usage: 13 MB
% 4.49/1.12 % (1758691)Instructions burned: 131 (million)
% 4.49/1.12 % (1758700)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3999037845:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.49/1.12 % (1758701)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3684345883:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.49/1.12 % TRYING [4]
% 4.49/1.12 % (1758702)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=3154195420:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.49/1.12 % (1758692)Instruction limit reached!
% 4.49/1.12 % (1758692)------------------------------
% 4.49/1.12 % (1758692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.49/1.12 % (1758692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.12 % (1758692)CaDiCaL version: 2.1.3
% 4.49/1.12 % (1758692)Termination reason: Instruction limit
% 4.49/1.12 % (1758692)Termination phase: Saturation
% 4.49/1.12 % (1758692)Time elapsed: 0.099 s
% 4.49/1.12 % (1758692)Peak memory usage: 13 MB
% 4.49/1.12 % (1758692)Instructions burned: 160 (million)
% 4.49/1.12 % TRYING [1]
% 4.49/1.12 % TRYING [2]
% 4.49/1.12 % (1758706)ott-21_1_sil=16000:fs=off:random_seed=435946387:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.49/1.12 % TRYING [3]
% 4.49/1.12 % (1758701)Instruction limit reached!
% 4.49/1.12 % (1758701)------------------------------
% 4.49/1.12 % (1758701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.49/1.12 % (1758701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.12 % (1758701)CaDiCaL version: 2.1.3
% 4.49/1.12 % (1758701)Termination reason: Instruction limit
% 4.49/1.12 % (1758701)Termination phase: Saturation
% 4.49/1.12 % (1758701)Time elapsed: 0.073 s
% 4.49/1.12 % (1758701)Peak memory usage: 13 MB
% 4.49/1.12 % (1758701)Instructions burned: 132 (million)
% 4.49/1.12 % TRYING [4]
% 4.49/1.12 % (1758708)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3521778217:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.49/1.12 % (1758706)Instruction limit reached!
% 4.49/1.12 % (1758706)------------------------------
% 4.49/1.12 % (1758706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.49/1.12 % (1758706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.12 % (1758706)CaDiCaL version: 2.1.3
% 4.49/1.12 % (1758706)Termination reason: Instruction limit
% 4.49/1.12 % (1758706)Termination phase: Saturation
% 4.49/1.12 % (1758706)Time elapsed: 0.096 s
% 4.49/1.12 % (1758706)Peak memory usage: 13 MB
% 4.49/1.12 % (1758706)Instructions burned: 182 (million)
% 4.49/1.12 % (1758710)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2499135941:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.49/1.12 % TRYING [1]
% 4.49/1.12 % TRYING [5]
% 4.49/1.12 % TRYING [2]
% 4.49/1.12 % TRYING [3]
% 4.49/1.12 % TRYING [5]
% 4.49/1.12 % (1758700)Instruction limit reached!
% 4.49/1.12 % (1758700)------------------------------
% 4.49/1.12 % (1758700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.49/1.12 % (1758700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.12 % (1758700)CaDiCaL version: 2.1.3
% 4.49/1.12 % (1758700)Termination reason: Instruction limit
% 4.49/1.12 % (1758700)Termination phase: Finite model building constraint generation
% 4.49/1.12 % (1758700)Time elapsed: 0.283 s
% 4.49/1.12 % (1758700)Peak memory usage: 40 MB
% 4.49/1.12 % (1758700)Instructions burned: 714 (million)
% 4.49/1.12 % (1758712)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2401888280:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.49/1.12 % TRYING [4]
% 4.49/1.12 % (1758702)Instruction limit reached!
% 4.49/1.12 % (1758702)------------------------------
% 4.49/1.12 % (1758702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.49/1.12 % (1758702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.12 % (1758702)CaDiCaL version: 2.1.3
% 4.49/1.12 % (1758702)Termination reason: Instruction limit
% 4.49/1.12 % (1758702)Termination phase: Saturation
% 4.49/1.12 % (1758702)Time elapsed: 0.404 s
% 4.49/1.12 % (1758702)Peak memory usage: 20 MB
% 4.49/1.12 % (1758702)Instructions burned: 684 (million)
% 4.49/1.12 % (1758708)Instruction limit reached!
% 4.49/1.12 % (1758708)------------------------------
% 4.49/1.12 % (1758708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.49/1.12 % (1758708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.12 % (1758708)CaDiCaL version: 2.1.3
% 4.49/1.12 % (1758708)Termination reason: Instruction limit
% 4.49/1.12 % (1758708)Termination phase: Saturation
% 4.49/1.12 % (1758708)Time elapsed: 0.335 s
% 4.49/1.12 % (1758708)Peak memory usage: 14 MB
% 4.49/1.12 % (1758708)Instructions burned: 477 (million)
% 4.49/1.12 % (1758714)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3614025923:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.49/1.12 % (1758715)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=3039735764: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)
% 4.49/1.12 % (1758710)Instruction limit reached!
% 4.49/1.12 % (1758710)------------------------------
% 4.49/1.12 % (1758710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.49/1.12 % (1758710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.12 % (1758710)CaDiCaL version: 2.1.3
% 4.49/1.12 % (1758710)Termination reason: Instruction limit
% 4.49/1.12 % (1758710)Termination phase: Finite model building SAT solving
% 4.49/1.12 % (1758710)Time elapsed: 0.349 s
% 4.49/1.12 % (1758710)Peak memory usage: 34 MB
% 4.49/1.12 % (1758710)Instructions burned: 866 (million)
% 4.49/1.12 % (1758718)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2727188624:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 4.49/1.12 % (1758687) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1758681-1758687"...
% 4.49/1.12 % (1758687)...printing done.
% 4.49/1.12 % (1758687)Refutation found. Thanks to Tanya!
% 4.49/1.12 % SZS status Theorem for theBenchmark
% 4.49/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 4.49/1.12 % (1758687)------------------------------
% 4.49/1.12 % (1758687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.49/1.12 % (1758687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.12 % (1758687)CaDiCaL version: 2.1.3
% 4.49/1.12 % (1758687)Termination reason: Refutation
% 4.49/1.12 % (1758687)Time elapsed: 0.684 s
% 4.49/1.12 % (1758687)Peak memory usage: 21 MB
% 4.49/1.12 % (1758687)Instructions burned: 1109 (million)
% 4.49/1.12 % (1758681)Success in time 0.727 s
% 4.49/1.12 % Vampire exiting
%------------------------------------------------------------------------------