%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET958+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 08:33:38 AM UTC 2026
% Result : Theorem 9.15s 1.71s
% Output : CNFRefutation 9.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 34 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 29 ( 11 ~; 8 |; 4 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d3_tarski,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ) ).
fof(t111_zfmisc_1,conjecture,
! [X0,X1] :
( ( ! [X2,X3] :
( in('ordered$upair'(X2,X3),X0)
=> in('ordered$upair'(X2,X3),X1) )
& ! [X2] :
~ ( ! [X3,X4] : X2 != 'ordered$upair'(X3,X4)
& in(X2,X0) ) )
=> subset(X0,X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( ( ! [X2,X3] :
( in('ordered$upair'(X2,X3),X0)
=> in('ordered$upair'(X2,X3),X1) )
& ! [X2] :
~ ( ! [X3,X4] : X2 != 'ordered$upair'(X3,X4)
& in(X2,X0) ) )
=> subset(X0,X1) ),
inference(negate_conjecture,[status(cth)],[t111_zfmisc_1]) ).
cnf(c3,plain,
( in(sK7(X0,X1),X0)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c4,plain,
( ~ in(sK7(X0,X1),X1)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[d3_tarski]) ).
cnf(c10,plain,
( X0 = 'ordered$upair'(sK19(X0),sK20(X0))
| ~ in(X0,sK16) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c11,plain,
( in('ordered$upair'(X0,X1),sK17)
| ~ in('ordered$upair'(X0,X1),sK16) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
~ subset(sK16,sK17),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( sK7(sK16,X0) = 'ordered$upair'(sK19(sK7(sK16,X0)),sK20(sK7(sK16,X0)))
| subset(sK16,X0) ),
inference(resolution,[status(thm)],[c3,c10]) ).
cnf(d1,plain,
sK7(sK16,sK17) = 'ordered$upair'(sK19(sK7(sK16,sK17)),sK20(sK7(sK16,sK17))),
inference(resolution,[status(thm)],[d0,c12]) ).
cnf(d2,plain,
( in('ordered$upair'(sK19(sK7(sK16,sK17)),sK20(sK7(sK16,sK17))),sK17)
| ~ in(sK7(sK16,sK17),sK16) ),
inference(superposition,[status(thm)],[d1,c11]) ).
cnf(d3,plain,
( in(sK7(sK16,sK17),sK17)
| ~ in(sK7(sK16,sK17),sK16) ),
inference(demodulation,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( subset(sK16,sK17)
| in(sK7(sK16,sK17),sK17) ),
inference(resolution,[status(thm)],[d3,c3]) ).
cnf(d5,plain,
in(sK7(sK16,sK17),sK17),
inference(resolution,[status(thm)],[c12,d4]) ).
cnf(d6,plain,
subset(sK16,sK17),
inference(resolution,[status(thm)],[d5,c4]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c12,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET958+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 08:30:58 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.15/1.71 % SZS status Theorem for theBenchmark.p
% 9.15/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------