%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET151-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 12:43:17 PM UTC 2026
% Result : Unsatisfiable 0.41s 0.56s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 58 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 18 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f122,negated_conjecture,
complement(null_class) != universal_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_complement_of_null_class_1) ).
fof(f123,plain,
universal_class != complement(null_class),
inference(reorient_equations,[],[f122]) ).
fof(f196,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,complement(X1)),universal_class)
| subclass(X0,complement(X1))
| member(not_subclass_element(X0,complement(X1)),X1) ),
inference(resolution,[],[f3,f25]) ).
fof(f202,plain,
! [X0] :
( subclass(universal_class,complement(X0))
| member(not_subclass_element(universal_class,complement(X0)),X0)
| subclass(universal_class,complement(X0)) ),
inference(resolution,[],[f196,f2]) ).
fof(f203,plain,
! [X0] :
( member(not_subclass_element(universal_class,complement(X0)),X0)
| subclass(universal_class,complement(X0)) ),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f205,plain,
! [X0] :
( ~ member(not_subclass_element(universal_class,complement(complement(X0))),X0)
| subclass(universal_class,complement(complement(X0))) ),
inference(resolution,[],[f203,f24]) ).
fof(f206,plain,
! [X0,X1] :
( member(not_subclass_element(universal_class,complement(intersection(X0,X1))),X0)
| subclass(universal_class,complement(intersection(X0,X1))) ),
inference(resolution,[],[f203,f21]) ).
fof(f208,plain,
( subclass(universal_class,complement(complement(universal_class)))
| subclass(universal_class,complement(complement(universal_class))) ),
inference(resolution,[],[f205,f2]) ).
fof(f210,plain,
subclass(universal_class,complement(complement(universal_class))),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f213,plain,
! [X0,X1] :
( member(not_subclass_element(universal_class,complement(intersection(X0,X1))),X1)
| subclass(universal_class,complement(intersection(X0,X1))) ),
inference(resolution,[],[f22,f203]) ).
fof(f217,plain,
! [X0,X1] :
( ~ member(not_subclass_element(universal_class,complement(intersection(complement(X0),X1))),X0)
| subclass(universal_class,complement(intersection(complement(X0),X1))) ),
inference(resolution,[],[f206,f24]) ).
fof(f232,plain,
! [X0] :
( subclass(universal_class,complement(intersection(complement(X0),X0)))
| subclass(universal_class,complement(intersection(complement(X0),X0))) ),
inference(resolution,[],[f217,f213]) ).
fof(f234,plain,
! [X0] : subclass(universal_class,complement(intersection(complement(X0),X0))),
inference(duplicate_literal_removal,[],[f232]) ).
fof(f408,plain,
( ~ subclass(complement(complement(universal_class)),universal_class)
| universal_class = complement(complement(universal_class)) ),
inference(resolution,[],[f7,f210]) ).
fof(f409,plain,
! [X0] :
( ~ subclass(complement(intersection(complement(X0),X0)),universal_class)
| universal_class = complement(intersection(complement(X0),X0)) ),
inference(resolution,[],[f7,f234]) ).
fof(f467,plain,
! [X0] : universal_class = complement(intersection(complement(X0),X0)),
inference(forward_subsumption_resolution,[],[f409,f4]) ).
fof(f468,plain,
universal_class = complement(complement(universal_class)),
inference(forward_subsumption_resolution,[],[f408,f4]) ).
fof(f641,plain,
universal_class = complement(intersection(universal_class,complement(universal_class))),
inference(superposition,[],[f467,f468]) ).
fof(f769,plain,
! [X0] :
( ~ member(X0,universal_class)
| ~ member(X0,intersection(universal_class,complement(universal_class))) ),
inference(superposition,[],[f24,f641]) ).
fof(f795,plain,
! [X0] : ~ member(X0,intersection(universal_class,complement(universal_class))),
inference(forward_subsumption_resolution,[],[f769,f21]) ).
fof(f809,plain,
null_class = intersection(universal_class,complement(universal_class)),
inference(resolution,[],[f795,f68]) ).
fof(f959,plain,
universal_class = complement(null_class),
inference(superposition,[],[f641,f809]) ).
fof(f978,plain,
$false,
inference(forward_subsumption_resolution,[],[f959,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET151-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n002.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 00:58:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.41/0.56 % (4060330)Will run a generic schedule for satisfiability detection.
% 0.41/0.56 % (4060341)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=769475633:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.41/0.56 % (4060336)% WARNING: option uhcvi not known.
% 0.41/0.56 % (4060335)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3486828879_2999 on theBenchmark for (2999ds/0Mi)
% 0.41/0.56 % (4060336)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2706378416:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.41/0.56 % (4060338)dis+10_1_sil=32000:sp=arity:random_seed=71780863:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.41/0.56 % (4060339)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2573187605:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.41/0.56 % (4060340)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1309847121:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.41/0.56 % (4060337)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3545537308:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.41/0.56 % (4060341)Instruction limit reached!
% 0.41/0.56 % (4060341)------------------------------
% 0.41/0.56 % (4060341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.56 % (4060341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.56 % (4060341)CaDiCaL version: 2.1.3
% 0.41/0.56 % (4060341)Termination reason: Instruction limit
% 0.41/0.56 % (4060341)Termination phase: Saturation
% 0.41/0.56 % (4060341)Time elapsed: 0.064 s
% 0.41/0.56 % (4060341)Peak memory usage: 14 MB
% 0.41/0.56 % (4060341)Instructions burned: 160 (million)
% 0.41/0.56 % (4060338)Instruction limit reached!
% 0.41/0.56 % (4060338)------------------------------
% 0.41/0.56 % (4060338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.56 % (4060338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.56 % (4060338)CaDiCaL version: 2.1.3
% 0.41/0.56 % (4060338)Termination reason: Instruction limit
% 0.41/0.56 % (4060338)Termination phase: Saturation
% 0.41/0.56 % (4060338)Time elapsed: 0.068 s
% 0.41/0.56 % (4060338)Peak memory usage: 13 MB
% 0.41/0.56 % (4060338)Instructions burned: 103 (million)
% 0.41/0.56 % (4060349)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1743273086:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.41/0.56 % (4060339)Instruction limit reached!
% 0.41/0.56 % (4060339)------------------------------
% 0.41/0.56 % (4060339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.56 % (4060339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.56 % (4060339)CaDiCaL version: 2.1.3
% 0.41/0.56 % (4060339)Termination reason: Instruction limit
% 0.41/0.56 % (4060339)Termination phase: Saturation
% 0.41/0.56 % (4060339)Time elapsed: 0.072 s
% 0.41/0.56 % (4060339)Peak memory usage: 13 MB
% 0.41/0.56 % (4060339)Instructions burned: 116 (million)
% 0.41/0.56 % (4060340)Instruction limit reached!
% 0.41/0.56 % (4060340)------------------------------
% 0.41/0.56 % (4060340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.56 % (4060340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.56 % (4060340)CaDiCaL version: 2.1.3
% 0.41/0.56 % (4060340)Termination reason: Instruction limit
% 0.41/0.56 % (4060340)Termination phase: Saturation
% 0.41/0.56 % (4060340)Time elapsed: 0.079 s
% 0.41/0.56 % (4060340)Peak memory usage: 12 MB
% 0.41/0.56 % (4060340)Instructions burned: 131 (million)
% 0.41/0.56 % (4060350)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1999033843:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.41/0.56 % (4060352)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=2784073623:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.41/0.56 % (4060353)ott-21_1_sil=16000:fs=off:random_seed=1583810935:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.41/0.56 % (4060352) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4060330-4060352"...
% 0.41/0.56 % (4060352)...printing done.
% 0.41/0.56 % (4060352)Refutation found. Thanks to Tanya!
% 0.41/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.41/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.41/0.56 % (4060352)------------------------------
% 0.41/0.56 % (4060352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.56 % (4060352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.56 % (4060352)CaDiCaL version: 2.1.3
% 0.41/0.56 % (4060352)Termination reason: Refutation
% 0.41/0.56 % (4060352)Time elapsed: 0.018 s
% 0.41/0.56 % (4060352)Peak memory usage: 12 MB
% 0.41/0.56 % (4060352)Instructions burned: 24 (million)
% 0.41/0.56 % (4060330)Success in time 0.145 s
% 0.41/0.56 % Vampire exiting
%------------------------------------------------------------------------------