%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET062-6 : 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 : 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 12:42:53 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.46s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 10 unt; 1 def)
% Number of atoms : 40 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 15 |; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
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(f101,negated_conjecture,
~ subclass(null_class,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_subclass_1) ).
fof(f156,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f157,plain,
member(not_subclass_element(null_class,x),null_class),
inference(resolution,[],[f2,f101]) ).
fof(f161,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f171,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f161,f68]) ).
fof(f269,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f156,f171]) ).
fof(f278,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f269]) ).
fof(f313,definition,
( spl0_14
<=> null_class = complement(universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f315,plain,
( null_class = complement(universal_class)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f317,plain,
spl0_14,
inference(avatar_split_clause,[],[f278,f313]) ).
fof(f321,plain,
( ! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) )
| ~ spl0_14 ),
inference(superposition,[],[f24,f315]) ).
fof(f322,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f321,f161]) ).
fof(f326,plain,
( $false
| ~ spl0_14 ),
inference(resolution,[],[f322,f157]) ).
fof(f328,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f326]) ).
cnf(s10,plain,
spl0_14,
inference(sat_conversion,[],[f317]) ).
cnf(s11,plain,
~ spl0_14,
inference(sat_conversion,[],[f328]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s10,s11]) ).
fof(f329,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET062-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 00:27:00 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.09/0.46 % (2562071)Will run a generic schedule for satisfiability detection.
% 0.09/0.46 % (2562078)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2680095347:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.46 % (2562076)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2302263193_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.46 % (2562079)dis+10_1_sil=32000:sp=arity:random_seed=3443331946:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.46 % (2562081)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=708306330:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.46 % (2562080)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=324920420:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.46 % (2562082)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1245470193:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.46 % (2562077)% WARNING: option uhcvi not known.
% 0.09/0.46 % (2562077)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2723738411:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.46 % (2562080) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2562071-2562080"...
% 0.09/0.46 % (2562080)...printing done.
% 0.09/0.46 % (2562080)Refutation found. Thanks to Tanya!
% 0.09/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.46 % (2562080)------------------------------
% 0.09/0.46 % (2562080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.46 % (2562080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.46 % (2562080)CaDiCaL version: 2.1.3
% 0.09/0.46 % (2562080)Termination reason: Refutation
% 0.09/0.46 % (2562080)Time elapsed: 0.009 s
% 0.09/0.46 % (2562080)Peak memory usage: 12 MB
% 0.09/0.46 % (2562080)Instructions burned: 14 (million)
% 0.09/0.46 % (2562071)Success in time 0.051 s
% 0.09/0.46 % Vampire exiting
%------------------------------------------------------------------------------