%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET064-6 : 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 : n017.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 12:42:54 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 43 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 20 ~; 21 |; 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; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
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(f101,negated_conjecture,
z != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_unique_1) ).
fof(f102,plain,
null_class != z,
inference(reorient_equations,[],[f101]) ).
fof(f103,negated_conjecture,
~ member(not_subclass_element(z,null_class),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_unique_2) ).
fof(f210,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f279,plain,
subclass(z,null_class),
inference(resolution,[],[f2,f103]) ).
fof(f399,plain,
! [X0,X1] :
( member(regular(X0),X1)
| ~ subclass(X0,X1)
| null_class = X0 ),
inference(resolution,[],[f1,f68]) ).
fof(f2540,plain,
! [X0] :
( ~ subclass(complement(X0),X0)
| complement(X0) = null_class
| complement(X0) = null_class ),
inference(resolution,[],[f399,f210]) ).
fof(f2552,plain,
! [X0] :
( ~ subclass(complement(X0),X0)
| complement(X0) = null_class ),
inference(duplicate_literal_removal,[],[f2540]) ).
fof(f2575,plain,
null_class = complement(universal_class),
inference(resolution,[],[f2552,f4]) ).
fof(f2777,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f2575]) ).
fof(f2801,plain,
! [X0] :
( ~ member(regular(X0),universal_class)
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f2777,f399]) ).
fof(f2968,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0
| ~ subclass(X0,universal_class)
| null_class = X0 ),
inference(resolution,[],[f2801,f399]) ).
fof(f2969,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0
| ~ subclass(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f2968]) ).
fof(f2971,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(forward_subsumption_resolution,[],[f2969,f4]) ).
fof(f2975,plain,
null_class = z,
inference(resolution,[],[f2971,f279]) ).
fof(f2976,plain,
$false,
inference(forward_subsumption_resolution,[],[f2975,f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET064-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n017.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 00:23:05 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 0.17/0.49 % (3106928)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (3106942)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=987539041:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (3106941)% WARNING: option uhcvi not known.
% 0.17/0.49 % (3106943)dis+10_1_sil=32000:sp=arity:random_seed=4140421504:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49 % (3106941)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3306175923:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % (3106945)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2471792343:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % (3106944)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3729675771:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % (3106946)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3667253657:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % (3106940)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2128657908_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % (3106943) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3106928-3106943"...
% 0.17/0.49 % (3106945) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3106928-3106945"...
% 0.17/0.49 % (3106942) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3106928-3106942"...
% 0.17/0.49 % (3106943)...printing done.
% 0.17/0.49 % (3106942)...printing done.
% 0.17/0.49 % (3106945)...printing done.
% 0.17/0.49 % (3106942)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (3106942)------------------------------
% 0.17/0.49 % (3106942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (3106942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (3106942)CaDiCaL version: 2.1.3
% 0.17/0.49 % (3106942)Termination reason: Refutation
% 0.17/0.49 % (3106942)Time elapsed: 0.041 s
% 0.17/0.49 % (3106942)Peak memory usage: 13 MB
% 0.17/0.49 % (3106942)Instructions burned: 103 (million)
% 0.17/0.49 % (3106928)Success in time 0.078 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------