%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET153-6 : 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 : n005.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 0.74s 0.57s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 40 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 15 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 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; 2 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 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(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(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/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,
intersection(complement(x),x) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_with_complement_1) ).
fof(f123,plain,
null_class != intersection(complement(x),x),
inference(reorient_equations,[],[f122]) ).
fof(f361,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f21,f2]) ).
fof(f395,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X1)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f22,f68]) ).
fof(f434,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f1,f68]) ).
fof(f2280,plain,
! [X0,X1] :
( ~ member(regular(X0),X1)
| null_class = X0
| ~ subclass(X0,complement(X1)) ),
inference(resolution,[],[f434,f24]) ).
fof(f3741,plain,
! [X0,X1] :
( intersection(X0,X1) = null_class
| ~ subclass(intersection(X0,X1),complement(X1))
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f2280,f395]) ).
fof(f3749,plain,
! [X0,X1] :
( ~ subclass(intersection(X0,X1),complement(X1))
| intersection(X0,X1) = null_class ),
inference(duplicate_literal_removal,[],[f3741]) ).
fof(f3915,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f361,f3]) ).
fof(f3940,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f3915]) ).
fof(f3985,plain,
! [X0] : null_class = intersection(complement(X0),X0),
inference(resolution,[],[f3940,f3749]) ).
fof(f4025,plain,
null_class != null_class,
inference(superposition,[],[f123,f3985]) ).
fof(f4040,plain,
$false,
inference(trivial_inequality_removal,[],[f4025]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET153-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n005.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 00:55:32 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.74/0.57 % (336137)Will run a generic schedule for satisfiability detection.
% 0.74/0.57 % (336147)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1514218194:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.74/0.57 % (336143)% WARNING: option uhcvi not known.
% 0.74/0.57 % (336145)dis+10_1_sil=32000:sp=arity:random_seed=3306189928:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.74/0.57 % (336142)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2568020288_2999 on theBenchmark for (2999ds/0Mi)
% 0.74/0.57 % (336143)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3037790267:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.74/0.57 % (336144)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3729960782:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.74/0.57 % (336146)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1960924873:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.74/0.57 % (336148)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=828304651:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.74/0.57 % (336147)Instruction limit reached!
% 0.74/0.57 % (336147)------------------------------
% 0.74/0.57 % (336147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.57 % (336147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.57 % (336147)CaDiCaL version: 2.1.3
% 0.74/0.57 % (336147)Termination reason: Instruction limit
% 0.74/0.57 % (336147)Termination phase: Saturation
% 0.74/0.57 % (336147)Time elapsed: 0.043 s
% 0.74/0.57 % (336147)Peak memory usage: 13 MB
% 0.74/0.57 % (336147)Instructions burned: 131 (million)
% 0.74/0.57 % (336156)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4168202566:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.74/0.57 % (336145)Instruction limit reached!
% 0.74/0.57 % (336145)------------------------------
% 0.74/0.57 % (336145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.57 % (336145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.57 % (336145)CaDiCaL version: 2.1.3
% 0.74/0.57 % (336145)Termination reason: Instruction limit
% 0.74/0.57 % (336145)Termination phase: Saturation
% 0.74/0.57 % (336145)Time elapsed: 0.067 s
% 0.74/0.57 % (336145)Peak memory usage: 13 MB
% 0.74/0.57 % (336145)Instructions burned: 105 (million)
% 0.74/0.57 % (336146)Instruction limit reached!
% 0.74/0.57 % (336146)------------------------------
% 0.74/0.57 % (336146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.57 % (336146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.57 % (336146)CaDiCaL version: 2.1.3
% 0.74/0.57 % (336146)Termination reason: Instruction limit
% 0.74/0.57 % (336146)Termination phase: Saturation
% 0.74/0.57 % (336146)Time elapsed: 0.070 s
% 0.74/0.57 % (336146)Peak memory usage: 13 MB
% 0.74/0.57 % (336146)Instructions burned: 117 (million)
% 0.74/0.57 % (336158)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1284454233:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.74/0.57 % (336144) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-336137-336144"...
% 0.74/0.57 % (336144)...printing done.
% 0.74/0.57 % (336144)Refutation found. Thanks to Tanya!
% 0.74/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.74/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.74/0.57 % (336144)------------------------------
% 0.74/0.57 % (336144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.57 % (336144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.57 % (336144)CaDiCaL version: 2.1.3
% 0.74/0.57 % (336144)Termination reason: Refutation
% 0.74/0.57 % (336144)Time elapsed: 0.087 s
% 0.74/0.57 % (336144)Peak memory usage: 13 MB
% 0.74/0.57 % (336144)Instructions burned: 125 (million)
% 0.74/0.57 % (336137)Success in time 0.133 s
% 0.74/0.57 % Vampire exiting
%------------------------------------------------------------------------------