%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET054+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 : n010.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 12:42:49 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 24 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 24 ( 11 ~; 7 |; 5 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 12 ( 11 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subclass(X0,X1)
& subclass(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',extensionality) ).
fof(f44,conjecture,
! [X0] : subclass(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_subclass) ).
fof(f45,negated_conjecture,
~ ! [X0] : subclass(X0,X0),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f60,plain,
? [X0] : ~ subclass(X0,X0),
inference(ennf_transformation,[],[f45]) ).
fof(f64,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) )
& ( ( subclass(X0,X1)
& subclass(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f65,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) )
& ( ( subclass(X0,X1)
& subclass(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f64]) ).
fof(f103,plain,
~ subclass(sK6,sK6),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f60]) ).
fof(f108,plain,
! [X0,X1] :
( X0 != X1
| subclass(X1,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f191,plain,
~ subclass(sK6,sK6),
inference(cnf_transformation,[],[f103]) ).
fof(f231,plain,
! [X0] : subclass(X0,X0),
inference(equality_resolution,[],[f108]) ).
fof(f232,plain,
$false,
inference(resolution,[],[f231,f191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET054+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.36 % Computer : n010.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % 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 00:23:02 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 0.12/0.45 % (1456998)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (1457008)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1445216719:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.45 % (1457008) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1456998-1457008"...
% 0.12/0.45 % (1457004)% WARNING: option uhcvi not known.
% 0.12/0.45 % (1457008)...printing done.
% 0.12/0.45 % (1457008)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Theorem for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (1457008)------------------------------
% 0.12/0.45 % (1457008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (1457008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (1457008)CaDiCaL version: 2.1.3
% 0.12/0.45 % (1457008)Termination reason: Refutation
% 0.12/0.45 % (1457008)Time elapsed: 0.002 s
% 0.12/0.45 % (1457008)Peak memory usage: 12 MB
% 0.12/0.45 % (1457008)Instructions burned: 6 (million)
% 0.12/0.45 % (1456998)Success in time 0.035 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------