%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET188-6 : 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 12:43:24 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 14 unt; 1 def)
% Number of atoms : 64 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 26 ~; 28 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),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(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(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(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(y),x) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property6_1) ).
fof(f123,plain,
null_class = intersection(complement(y),x),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property6_2) ).
fof(f194,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f195,plain,
member(not_subclass_element(x,y),x),
inference(resolution,[],[f2,f124]) ).
fof(f196,plain,
~ member(not_subclass_element(x,y),y),
inference(resolution,[],[f3,f124]) ).
fof(f212,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f242,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f212,f68]) ).
fof(f278,plain,
! [X0] :
( ~ member(X0,complement(y))
| ~ member(X0,x)
| member(X0,null_class) ),
inference(superposition,[],[f23,f123]) ).
fof(f284,plain,
! [X0] :
( ~ member(X0,x)
| member(X0,null_class)
| ~ member(X0,universal_class)
| member(X0,y) ),
inference(resolution,[],[f278,f25]) ).
fof(f299,plain,
! [X0] :
( ~ member(X0,x)
| member(X0,null_class)
| member(X0,y) ),
inference(forward_subsumption_resolution,[],[f284,f212]) ).
fof(f309,plain,
( member(not_subclass_element(x,y),null_class)
| member(not_subclass_element(x,y),y) ),
inference(resolution,[],[f299,f195]) ).
fof(f325,plain,
member(not_subclass_element(x,y),null_class),
inference(forward_subsumption_resolution,[],[f309,f196]) ).
fof(f502,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f194,f242]) ).
fof(f515,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f502]) ).
fof(f570,definition,
( spl0_34
<=> null_class = complement(universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f572,plain,
( null_class = complement(universal_class)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f574,plain,
spl0_34,
inference(avatar_split_clause,[],[f515,f570]) ).
fof(f594,plain,
( ! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) )
| ~ spl0_34 ),
inference(superposition,[],[f24,f572]) ).
fof(f595,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f594,f212]) ).
fof(f644,plain,
( $false
| ~ spl0_34 ),
inference(resolution,[],[f595,f325]) ).
fof(f650,plain,
~ spl0_34,
inference(avatar_contradiction_clause,[],[f644]) ).
cnf(s22,plain,
spl0_34,
inference(sat_conversion,[],[f574]) ).
cnf(s26,plain,
~ spl0_34,
inference(sat_conversion,[],[f650]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s22,s26]) ).
fof(f651,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET188-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 01:02:47 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.16/0.48 % (339112)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (339123)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1013041172:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48 % (339118)% WARNING: option uhcvi not known.
% 0.16/0.48 % (339118)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4166527290:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48 % (339117)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2614899970_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.48 % (339119)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3684578651:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48 % (339121)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1904049782:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.48 % (339120)dis+10_1_sil=32000:sp=arity:random_seed=1192076893:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48 % (339122)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4111547489:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.48 % (339121) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-339112-339121"...
% 0.16/0.48 % (339121)...printing done.
% 0.16/0.48 % (339121)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (339121)------------------------------
% 0.16/0.48 % (339121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (339121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (339121)CaDiCaL version: 2.1.3
% 0.16/0.48 % (339121)Termination reason: Refutation
% 0.16/0.48 % (339121)Time elapsed: 0.021 s
% 0.16/0.48 % (339121)Peak memory usage: 13 MB
% 0.16/0.48 % (339121)Instructions burned: 32 (million)
% 0.16/0.48 % (339112)Success in time 0.057 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------