%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET064+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 02:41:54 PM UTC 2026
% Result : Theorem 25.82s 4.01s
% Output : Proof 25.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 27 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 23 ( 9 ~; 5 |; 8 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 ( 1 sgn 7 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,axiom,
! [X] :
( X != null_class
=> ? [U] :
( disjoint(U,X)
& member(U,X)
& member(U,universal_class) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity) ).
fof(f40_nnf,plain,
! [X] :
( ? [U] :
( disjoint(U,X)
& member(U,X)
& member(U,universal_class) )
| X = null_class ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [X] :
( ( disjoint(sk5(X),X)
& member(sk5(X),X)
& member(sk5(X),universal_class) )
| X = null_class ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk5])],[f40_nnf]) ).
cnf(c84,plain,
( member(sk5(X0),X0)
| X0 = null_class ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
fof(f43,conjecture,
! [Z] :
( ? [Y] : member(Y,Z)
| Z = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_unique) ).
fof(f43_neg,negated_conjecture,
~ ! [Z] :
( ? [Y] : member(Y,Z)
| Z = null_class ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f43_nnf,plain,
? [Z] :
( ! [Y] : ~ member(Y,Z)
& Z != null_class ),
inference(nnf_transformation,[status(thm)],[f43_neg]) ).
fof(f43_sk,plain,
! [Y] :
( ~ member(Y,sk7)
& sk7 != null_class ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk7])],[f43_nnf]) ).
cnf(c90,plain,
~ member(X1,sk7),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(p215,plain,
sk7 = null_class,
inference(resolution,[status(thm)],[c84,c90]) ).
cnf(c89,plain,
sk7 != null_class,
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(p216,plain,
null_class != null_class,
inference(demodulation,[status(thm)],[p215,c89]) ).
cnf(p220,plain,
$false,
inference(equality_resolution,[status(thm)],[p216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET064+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 09:31:58 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 25.82/4.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.82/4.01 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------