%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET154-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 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 12:43:17 PM UTC 2026
% Result : Unsatisfiable 0.90s 0.59s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 43 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 15 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
fof(f122,negated_conjecture,
union(complement(x),x) != universal_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_union_with_complement_1) ).
fof(f123,plain,
universal_class != union(complement(x),x),
inference(reorient_equations,[],[f122]) ).
fof(f186,plain,
universal_class != complement(intersection(complement(complement(x)),complement(x))),
inference(definition_unfolding,[],[f123,f26]) ).
fof(f197,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(f200,plain,
! [X0] :
( subclass(universal_class,complement(X0))
| member(not_subclass_element(universal_class,complement(X0)),X0)
| subclass(universal_class,complement(X0)) ),
inference(resolution,[],[f197,f2]) ).
fof(f201,plain,
! [X0] :
( member(not_subclass_element(universal_class,complement(X0)),X0)
| subclass(universal_class,complement(X0)) ),
inference(duplicate_literal_removal,[],[f200]) ).
fof(f220,plain,
! [X0,X1] :
( member(not_subclass_element(universal_class,complement(intersection(X0,X1))),X0)
| subclass(universal_class,complement(intersection(X0,X1))) ),
inference(resolution,[],[f21,f201]) ).
fof(f226,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,[],[f220,f24]) ).
fof(f230,plain,
! [X0,X1] :
( member(not_subclass_element(universal_class,complement(intersection(X0,X1))),X1)
| subclass(universal_class,complement(intersection(X0,X1))) ),
inference(resolution,[],[f22,f201]) ).
fof(f242,plain,
! [X0] :
( subclass(universal_class,complement(intersection(complement(X0),X0)))
| subclass(universal_class,complement(intersection(complement(X0),X0))) ),
inference(resolution,[],[f226,f230]) ).
fof(f244,plain,
! [X0] : subclass(universal_class,complement(intersection(complement(X0),X0))),
inference(duplicate_literal_removal,[],[f242]) ).
fof(f536,plain,
! [X0] :
( ~ subclass(complement(intersection(complement(X0),X0)),universal_class)
| universal_class = complement(intersection(complement(X0),X0)) ),
inference(resolution,[],[f7,f244]) ).
fof(f598,plain,
! [X0] : universal_class = complement(intersection(complement(X0),X0)),
inference(forward_subsumption_resolution,[],[f536,f4]) ).
fof(f1248,plain,
universal_class != universal_class,
inference(superposition,[],[f186,f598]) ).
fof(f1297,plain,
$false,
inference(trivial_inequality_removal,[],[f1248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET154-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n020.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 00:56:35 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.90/0.59 % (3932238)Will run a generic schedule for satisfiability detection.
% 0.90/0.59 % (3932246)dis+10_1_sil=32000:sp=arity:random_seed=3887104477:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.90/0.59 % (3932244)% WARNING: option uhcvi not known.
% 0.90/0.59 % (3932243)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=451282606_2999 on theBenchmark for (2999ds/0Mi)
% 0.90/0.59 % (3932244)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1102935926:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.90/0.59 % (3932248)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=645167547:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.90/0.59 % (3932245)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=640418737:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.90/0.59 % (3932247)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4056136039:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.90/0.59 % (3932249)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3486090570:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.90/0.59 % (3932246)Instruction limit reached!
% 0.90/0.59 % (3932246)------------------------------
% 0.90/0.59 % (3932246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.59 % (3932246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.59 % (3932246)CaDiCaL version: 2.1.3
% 0.90/0.59 % (3932246)Termination reason: Instruction limit
% 0.90/0.59 % (3932246)Termination phase: Saturation
% 0.90/0.59 % (3932246)Time elapsed: 0.038 s
% 0.90/0.59 % (3932246)Peak memory usage: 13 MB
% 0.90/0.59 % (3932246)Instructions burned: 106 (million)
% 0.90/0.59 % (3932257)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=152530056:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.90/0.59 % (3932247)Instruction limit reached!
% 0.90/0.59 % (3932247)------------------------------
% 0.90/0.59 % (3932247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.59 % (3932247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.59 % (3932247)CaDiCaL version: 2.1.3
% 0.90/0.59 % (3932247)Termination reason: Instruction limit
% 0.90/0.59 % (3932247)Termination phase: Saturation
% 0.90/0.59 % (3932247)Time elapsed: 0.071 s
% 0.90/0.59 % (3932247)Peak memory usage: 13 MB
% 0.90/0.59 % (3932247)Instructions burned: 116 (million)
% 0.90/0.59 % (3932248)Instruction limit reached!
% 0.90/0.59 % (3932248)------------------------------
% 0.90/0.59 % (3932248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.59 % (3932248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.59 % (3932248)CaDiCaL version: 2.1.3
% 0.90/0.59 % (3932248)Termination reason: Instruction limit
% 0.90/0.59 % (3932248)Termination phase: Saturation
% 0.90/0.59 % (3932248)Time elapsed: 0.078 s
% 0.90/0.59 % (3932248)Peak memory usage: 13 MB
% 0.90/0.59 % (3932248)Instructions burned: 131 (million)
% 0.90/0.59 % (3932259)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2695983554:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.90/0.59 % (3932260)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=1830791879:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.90/0.59 % (3932249)Instruction limit reached!
% 0.90/0.59 % (3932249)------------------------------
% 0.90/0.59 % (3932249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.59 % (3932249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.59 % (3932249)CaDiCaL version: 2.1.3
% 0.90/0.59 % (3932249)Termination reason: Instruction limit
% 0.90/0.59 % (3932249)Termination phase: Saturation
% 0.90/0.59 % (3932249)Time elapsed: 0.107 s
% 0.90/0.59 % (3932249)Peak memory usage: 13 MB
% 0.90/0.59 % (3932249)Instructions burned: 160 (million)
% 0.90/0.59 % (3932260) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3932238-3932260"...
% 0.90/0.59 % (3932260)...printing done.
% 0.90/0.59 % (3932260)Refutation found. Thanks to Tanya!
% 0.90/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.90/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.90/0.59 % (3932260)------------------------------
% 0.90/0.59 % (3932260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.59 % (3932260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.59 % (3932260)CaDiCaL version: 2.1.3
% 0.90/0.59 % (3932260)Termination reason: Refutation
% 0.90/0.59 % (3932260)Time elapsed: 0.022 s
% 0.90/0.59 % (3932260)Peak memory usage: 13 MB
% 0.90/0.59 % (3932260)Instructions burned: 33 (million)
% 0.90/0.59 % (3932238)Success in time 0.164 s
% 0.90/0.59 % Vampire exiting
%------------------------------------------------------------------------------