%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET064+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 : Theorem 0.05s 0.47s
% Output : Refutation 0.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 26 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 22 ( 8 ~; 5 |; 8 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 14 ( 9 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [X0] :
( X0 != null_class
=> ? [X1] :
( member(X1,universal_class)
& member(X1,X0)
& disjoint(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',regularity) ).
fof(f44,conjecture,
! [X0] :
( X0 = null_class
| ? [X1] : member(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_unique) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( X0 = null_class
| ? [X1] : member(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f57,plain,
! [X0] :
( ? [X1] :
( member(X1,universal_class)
& member(X1,X0)
& disjoint(X1,X0) )
| null_class = X0 ),
inference(ennf_transformation,[],[f41]) ).
fof(f60,plain,
? [X0] :
( null_class != X0
& ! [X1] : ~ member(X1,X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f101,plain,
! [X0] :
( ( member(sK4(X0),universal_class)
& member(sK4(X0),X0)
& disjoint(sK4(X0),X0) )
| null_class = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f57]) ).
fof(f103,plain,
( null_class != sK6
& ! [X1] : ~ member(X1,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f60]) ).
fof(f186,plain,
! [X0] :
( member(sK4(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f101]) ).
fof(f191,plain,
! [X1] : ~ member(X1,sK6),
inference(cnf_transformation,[],[f103]) ).
fof(f192,plain,
null_class != sK6,
inference(cnf_transformation,[],[f103]) ).
fof(f257,plain,
null_class = sK6,
inference(resolution,[],[f186,f191]) ).
fof(f258,plain,
$false,
inference(forward_subsumption_resolution,[],[f257,f192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET064+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37 % Computer : n007.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Sep 28 00:25:55 UTC 2026
% 0.05/0.38 % CPUTime :
% 0.05/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.05/0.41 Running first-order model finding
% 0.05/0.41 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
% 0.05/0.47 % (1921293)Will run a generic schedule for satisfiability detection.
% 0.05/0.47 % (1921298)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2392721204_2999 on theBenchmark for (2999ds/0Mi)
% 0.05/0.47 % (1921299)% WARNING: option uhcvi not known.
% 0.05/0.47 % (1921299)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3418904367:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.05/0.47 % (1921300)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1730790583:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.05/0.47 % (1921301)dis+10_1_sil=32000:sp=arity:random_seed=3174293002:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.05/0.47 % (1921302)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=757153810:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.05/0.47 % (1921303)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3982974185:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.05/0.47 % (1921304)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3404751960:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.05/0.47 % (1921301) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1921293-1921301"...
% 0.05/0.47 % (1921299) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1921293-1921299"...
% 0.05/0.47 % (1921303) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1921293-1921303"...
% 0.05/0.47 % (1921302) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1921293-1921302"...
% 0.05/0.47 % (1921299)...printing done.
% 0.05/0.47 % (1921301)...printing done.
% 0.05/0.47 % (1921304) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1921293-1921304"...
% 0.05/0.47 % (1921303)...printing done.
% 0.05/0.47 % (1921301)Refutation found. Thanks to Tanya!
% 0.05/0.47 % SZS status Theorem for theBenchmark
% 0.05/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.05/0.47 % (1921301)------------------------------
% 0.05/0.47 % (1921301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.05/0.47 % (1921301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.05/0.47 % (1921301)CaDiCaL version: 2.1.3
% 0.05/0.47 % (1921301)Termination reason: Refutation
% 0.05/0.47 % (1921301)Time elapsed: 0.004 s
% 0.05/0.47 % (1921301)Peak memory usage: 11 MB
% 0.05/0.47 % (1921301)Instructions burned: 5 (million)
% 0.05/0.47 % (1921293)Success in time 0.048 s
% 0.05/0.47 % Vampire exiting
%------------------------------------------------------------------------------