%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU158+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n006.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 02:51:09 PM UTC 2026
% Result : Theorem 23.35s 9.45s
% Output : Proof 23.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 34 ( 14 ~; 11 |; 6 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,lemma,
! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f40_nnf,plain,
! [A,B] :
( ( ~ in(A,B)
| subset(singleton(A),B) )
& ( in(A,B)
| ~ subset(singleton(A),B) ) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [A,B] :
( ( ~ in(A,B)
| subset(singleton(A),B) )
& ( in(A,B)
| ~ subset(singleton(A),B) ) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c110,plain,
( ~ in(X0,X1)
| subset(singleton(X0),X1) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(c109,plain,
( in(X0,X1)
| ~ subset(singleton(X0),X1) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
fof(f66,conjecture,
! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(f66_neg,negated_conjecture,
~ ! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ),
inference(negated_conjecture,[status(cth)],[f66]) ).
fof(f66_nnf,plain,
? [A,B] :
( ( in(A,B)
& ~ subset(singleton(A),B) )
| ( ~ in(A,B)
& subset(singleton(A),B) ) ),
inference(nnf_transformation,[status(thm)],[f66_neg]) ).
fof(f66_sk,plain,
( ( in(sk19,sk20)
& ~ subset(singleton(sk19),sk20) )
| ( ~ in(sk19,sk20)
& subset(singleton(sk19),sk20) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk19,sk20])],[f66_nnf]) ).
cnf(c147,plain,
( in(sk19,sk20)
| subset(singleton(sk19),sk20) ),
inference(cnf_transformation,[status(esa)],[f66_sk]) ).
cnf(p200,plain,
( in(sk19,sk20)
| in(sk19,sk20) ),
inference(resolution,[status(thm)],[c109,c147]) ).
cnf(p203,plain,
in(sk19,sk20),
inference(factoring,[status(thm)],[p200]) ).
cnf(p214,plain,
subset(singleton(sk19),sk20),
inference(resolution,[status(thm)],[c110,p203]) ).
cnf(c148,plain,
( ~ subset(singleton(sk19),sk20)
| ~ in(sk19,sk20) ),
inference(cnf_transformation,[status(esa)],[f66_sk]) ).
cnf(p204,plain,
~ subset(singleton(sk19),sk20),
inference(resolution,[status(thm)],[p203,c148]) ).
cnf(p216,plain,
$false,
inference(resolution,[status(thm)],[p214,p204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU158+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/5.43 % Computer : n006.cluster.edu
% 0.15/5.43 % Model : x86_64 x86_64
% 0.15/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.43 % Memory : 8046.5625MB
% 0.15/5.43 % OS : Linux 6.8.0-71-generic
% 0.15/5.43 % CPULimit : 300
% 0.15/5.43 % WCLimit : 300
% 0.15/5.43 % DateTime : Thu Sep 24 12:59:01 UTC 2026
% 0.15/5.43 % CPUTime :
% 0.15/5.43 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 23.35/9.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.35/9.45 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------