%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU160+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 : Sun Sep 27 08:41:05 AM UTC 2026
% Result : Theorem 17.60s 2.57s
% Output : CNFRefutation 17.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 39 ( 22 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 12 ~; 17 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 13 ( 2 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l4_zfmisc_1,lemma,
! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( X0 = singleton(X1)
| X0 = 'empty$uset' ) ) ).
fof(reflexivity_r1_tarski,axiom,
! [X0,X1] : subset(X0,X0) ).
fof(t2_xboole_1,lemma,
! [X0] : subset('empty$uset',X0) ).
fof(t39_zfmisc_1,conjecture,
! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( X0 = singleton(X1)
| X0 = 'empty$uset' ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( X0 = singleton(X1)
| X0 = 'empty$uset' ) ),
inference(negate_conjecture,[status(cth)],[t39_zfmisc_1]) ).
cnf(c116,plain,
( X0 = singleton(X1)
| X0 = 'empty$uset'
| ~ subset(X0,singleton(X1)) ),
inference(clausification,[status(esa)],[l4_zfmisc_1]) ).
cnf(c125,plain,
subset(X0,X0),
inference(clausification,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(c141,plain,
subset('empty$uset',X0),
inference(clausification,[status(esa)],[t2_xboole_1]) ).
cnf(c179,plain,
( sK206 = singleton(sK207)
| sK206 = 'empty$uset'
| subset(sK206,singleton(sK207)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c180,plain,
( ~ subset(sK206,singleton(sK207))
| sK206 != 'empty$uset' ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c182,plain,
( ~ subset(sK206,singleton(sK207))
| sK206 != singleton(sK207) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( sK206 = 'empty$uset'
| sK206 = singleton(sK207)
| sK206 = 'empty$uset'
| sK206 = singleton(sK207) ),
inference(resolution,[status(thm)],[c116,c179]) ).
cnf(d1,plain,
( sK206 = 'empty$uset'
| ~ subset(sK206,singleton(sK207))
| sK206 != sK206 ),
inference(superposition,[status(thm)],[d0,c182]) ).
cnf(d2,plain,
( ~ subset(sK206,singleton(sK207))
| sK206 = 'empty$uset' ),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
( sK206 = 'empty$uset'
| sK206 = 'empty$uset'
| ~ subset(sK206,sK206) ),
inference(superposition,[status(thm)],[d0,d2]) ).
cnf(d4,plain,
sK206 = 'empty$uset',
inference(resolution,[status(thm)],[c125,d3]) ).
cnf(d5,plain,
~ subset(sK206,singleton(sK207)),
inference(resolution,[status(thm)],[d4,c180]) ).
cnf(d6,plain,
~ subset('empty$uset',singleton(sK207)),
inference(demodulation,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c141,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU160+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n016.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sat Sep 26 08:47:05 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.60/2.57 % SZS status Theorem for theBenchmark.p
% 17.60/2.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------