%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET147-6 : 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 : n009.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 12:43:16 PM UTC 2026
% Result : Unsatisfiable 0.44s 0.56s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 54 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 22 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
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(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f122,negated_conjecture,
intersection(universal_class,x) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_for_intersection_1) ).
fof(f123,plain,
x != intersection(universal_class,x),
inference(reorient_equations,[],[f122]) ).
fof(f240,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f22]) ).
fof(f280,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f3,f240]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1) ),
inference(resolution,[],[f3,f23]) ).
fof(f282,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f280]) ).
fof(f411,plain,
! [X2,X3,X0,X1] :
( ~ subclass(intersection(X0,X1),X2)
| member(X3,X2)
| ~ member(X3,X1)
| ~ member(X3,X0) ),
inference(resolution,[],[f1,f23]) ).
fof(f443,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f411,f4]) ).
fof(f452,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0)) ),
inference(resolution,[],[f281,f2]) ).
fof(f463,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0)) ),
inference(duplicate_literal_removal,[],[f452]) ).
fof(f468,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,X1),X2)
| member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[],[f443,f2]) ).
fof(f714,plain,
! [X0,X1] :
( ~ subclass(X0,intersection(X1,X0))
| intersection(X1,X0) = X0 ),
inference(resolution,[],[f7,f282]) ).
fof(f1450,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1)
| subclass(X0,X1) ),
inference(resolution,[],[f468,f2]) ).
fof(f1458,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f1450]) ).
fof(f1472,plain,
! [X0] :
( subclass(X0,intersection(universal_class,X0))
| subclass(X0,intersection(universal_class,X0)) ),
inference(resolution,[],[f1458,f463]) ).
fof(f1481,plain,
! [X0] : subclass(X0,intersection(universal_class,X0)),
inference(duplicate_literal_removal,[],[f1472]) ).
fof(f1497,plain,
! [X0] : intersection(universal_class,X0) = X0,
inference(resolution,[],[f1481,f714]) ).
fof(f1577,plain,
x != x,
inference(superposition,[],[f123,f1497]) ).
fof(f1613,plain,
$false,
inference(trivial_inequality_removal,[],[f1577]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET147-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 00:54:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.44/0.56 % (2574111)Will run a generic schedule for satisfiability detection.
% 0.44/0.56 % (2574121)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1551136235:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.44/0.56 % (2574116)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3942092326_2999 on theBenchmark for (2999ds/0Mi)
% 0.44/0.56 % (2574118)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3860658705:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.44/0.56 % (2574122)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=105715584:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.44/0.56 % (2574117)% WARNING: option uhcvi not known.
% 0.44/0.56 % (2574119)dis+10_1_sil=32000:sp=arity:random_seed=785654954:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.44/0.56 % (2574120)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2047173854:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.44/0.56 % (2574117)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1680689677:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.44/0.56 % (2574121)Instruction limit reached!
% 0.44/0.56 % (2574121)------------------------------
% 0.44/0.56 % (2574121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.56 % (2574121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.56 % (2574121)CaDiCaL version: 2.1.3
% 0.44/0.56 % (2574121)Termination reason: Instruction limit
% 0.44/0.56 % (2574121)Termination phase: Saturation
% 0.44/0.56 % (2574121)Time elapsed: 0.043 s
% 0.44/0.56 % (2574121)Peak memory usage: 13 MB
% 0.44/0.56 % (2574121)Instructions burned: 134 (million)
% 0.44/0.56 % (2574130)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1240459776:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.44/0.56 % (2574119)Instruction limit reached!
% 0.44/0.56 % (2574119)------------------------------
% 0.44/0.56 % (2574119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.56 % (2574119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.56 % (2574119)CaDiCaL version: 2.1.3
% 0.44/0.56 % (2574119)Termination reason: Instruction limit
% 0.44/0.56 % (2574119)Termination phase: Saturation
% 0.44/0.56 % (2574119)Time elapsed: 0.067 s
% 0.44/0.56 % (2574119)Peak memory usage: 13 MB
% 0.44/0.56 % (2574119)Instructions burned: 103 (million)
% 0.44/0.56 % (2574120)Instruction limit reached!
% 0.44/0.56 % (2574120)------------------------------
% 0.44/0.56 % (2574120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.56 % (2574120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.56 % (2574120)CaDiCaL version: 2.1.3
% 0.44/0.56 % (2574120)Termination reason: Instruction limit
% 0.44/0.56 % (2574120)Termination phase: Saturation
% 0.44/0.56 % (2574120)Time elapsed: 0.070 s
% 0.44/0.56 % (2574120)Peak memory usage: 13 MB
% 0.44/0.56 % (2574120)Instructions burned: 116 (million)
% 0.44/0.56 % (2574132)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2997931981:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.44/0.56 % (2574133)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=2837373091:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.44/0.56 % (2574122)Instruction limit reached!
% 0.44/0.56 % (2574122)------------------------------
% 0.44/0.56 % (2574122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.56 % (2574122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.56 % (2574122)CaDiCaL version: 2.1.3
% 0.44/0.56 % (2574122)Termination reason: Instruction limit
% 0.44/0.56 % (2574122)Termination phase: Saturation
% 0.44/0.56 % (2574122)Time elapsed: 0.113 s
% 0.44/0.56 % (2574122)Peak memory usage: 14 MB
% 0.44/0.56 % (2574122)Instructions burned: 159 (million)
% 0.44/0.56 % (2574133) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2574111-2574133"...
% 0.44/0.56 % (2574133)...printing done.
% 0.44/0.56 % (2574133)Refutation found. Thanks to Tanya!
% 0.44/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.44/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.44/0.56 % (2574133)------------------------------
% 0.44/0.56 % (2574133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.56 % (2574133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.56 % (2574133)CaDiCaL version: 2.1.3
% 0.44/0.56 % (2574133)Termination reason: Refutation
% 0.44/0.56 % (2574133)Time elapsed: 0.029 s
% 0.44/0.56 % (2574133)Peak memory usage: 13 MB
% 0.44/0.56 % (2574133)Instructions burned: 41 (million)
% 0.44/0.56 % (2574111)Success in time 0.155 s
% 0.44/0.56 % Vampire exiting
%------------------------------------------------------------------------------