%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU148+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 : n003.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 02:51:05 PM UTC 2026
% Result : Theorem 26.33s 4.81s
% Output : Proof 26.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 53 ( 23 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 57 ( 22 ~; 18 |; 12 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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; 2 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 19 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [A,B] :
( B = singleton(A)
<=> ! [C] :
( in(C,B)
<=> C = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f6_nnf,plain,
! [A,B] :
( ( ? [C] :
( ( C = A
& ~ in(C,B) )
| ( C != A
& in(C,B) ) )
| B = singleton(A) )
& ( ! [C] :
( ( C != A
| in(C,B) )
& ( C = A
| ~ in(C,B) ) )
| B != singleton(A) ) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [B,A,C] :
( ( ( sk0(A,B) = A
& ~ in(sk0(A,B),B) )
| ( sk0(A,B) != A
& in(sk0(A,B),B) )
| B = singleton(A) )
& ( ( ( C != A
| in(C,B) )
& ( C = A
| ~ in(C,B) ) )
| B != singleton(A) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f6_nnf]) ).
cnf(c8,plain,
( X2 = X0
| ~ in(X2,X1)
| X1 != singleton(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p152,plain,
( X0 = X1
| ~ in(X0,singleton(X1)) ),
inference(equality_resolution,[status(thm)],[c8]) ).
fof(f30,lemma,
! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f30_nnf,plain,
! [A,B] :
( ( ~ in(A,B)
| subset(singleton(A),B) )
& ( in(A,B)
| ~ subset(singleton(A),B) ) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [A,B] :
( ( ~ in(A,B)
| subset(singleton(A),B) )
& ( in(A,B)
| ~ subset(singleton(A),B) ) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c80,plain,
( in(X0,X1)
| ~ subset(singleton(X0),X1) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
fof(f65,conjecture,
! [A,B] :
( subset(singleton(A),singleton(B))
=> A = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_zfmisc_1) ).
fof(f65_neg,negated_conjecture,
~ ! [A,B] :
( subset(singleton(A),singleton(B))
=> A = B ),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f65_nnf,plain,
? [A,B] :
( A != B
& subset(singleton(A),singleton(B)) ),
inference(nnf_transformation,[status(thm)],[f65_neg]) ).
fof(f65_sk,plain,
( sk13 != sk14
& subset(singleton(sk13),singleton(sk14)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk13,sk14])],[f65_nnf]) ).
cnf(c126,plain,
subset(singleton(sk13),singleton(sk14)),
inference(cnf_transformation,[status(esa)],[f65_sk]) ).
cnf(p179,plain,
in(sk13,singleton(sk14)),
inference(resolution,[status(thm)],[c80,c126]) ).
cnf(p207,plain,
sk13 = sk14,
inference(resolution,[status(thm)],[p152,p179]) ).
cnf(c127,plain,
sk13 != sk14,
inference(cnf_transformation,[status(esa)],[f65_sk]) ).
cnf(p209,plain,
$false,
inference(resolution,[status(thm)],[p207,c127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU148+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.33 % Computer : n003.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8046.5625MB
% 0.10/0.33 % OS : Linux 6.8.0-71-generic
% 0.10/0.33 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Thu Sep 24 12:58:50 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.34 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 26.33/4.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.33/4.81 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------