%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET957+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 9.61s 2.81s
% Output : CNFRefutation 9.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% Number of atoms : 78 ( 28 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 66 ( 20 ~; 32 |; 8 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t103_zfmisc_1,axiom,
! [X0,X1,X2,X3] :
~ ( ! [X4,X5] :
~ ( X3 = 'ordered$upair'(X4,X5)
& in(X5,X2)
& in(X4,X1) )
& in(X3,X0)
& subset(X0,'cartesian$uproduct2'(X1,X2)) ) ).
fof(t2_tarski,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ) ).
fof(t110_zfmisc_1,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( ! [X6,X7] :
( in('ordered$upair'(X6,X7),X0)
<=> in('ordered$upair'(X6,X7),X3) )
& subset(X3,'cartesian$uproduct2'(X4,X5))
& subset(X0,'cartesian$uproduct2'(X1,X2)) )
=> X0 = X3 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ! [X6,X7] :
( in('ordered$upair'(X6,X7),X0)
<=> in('ordered$upair'(X6,X7),X3) )
& subset(X3,'cartesian$uproduct2'(X4,X5))
& subset(X0,'cartesian$uproduct2'(X1,X2)) )
=> X0 = X3 ),
inference(negate_conjecture,[status(cth)],[t110_zfmisc_1]) ).
cnf(c9,plain,
( X3 = 'ordered$upair'(sK16(X1,X2,X3),sK17(X1,X2,X3))
| ~ in(X3,X0)
| ~ subset(X0,'cartesian$uproduct2'(X1,X2)) ),
inference(clausification,[status(esa)],[t103_zfmisc_1]) ).
cnf(c11,plain,
( X0 = X1
| in(sK20(X0,X1),X1)
| in(sK20(X0,X1),X0) ),
inference(clausification,[status(esa)],[t2_tarski]) ).
cnf(c12,plain,
( X0 = X1
| ~ in(sK20(X0,X1),X0)
| ~ in(sK20(X0,X1),X1) ),
inference(clausification,[status(esa)],[t2_tarski]) ).
cnf(c14,plain,
subset(sK21,'cartesian$uproduct2'(sK22,sK23)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c15,plain,
subset(sK24,'cartesian$uproduct2'(sK25,sK26)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c16,plain,
( in('ordered$upair'(X0,X1),sK24)
| ~ in('ordered$upair'(X0,X1),sK21) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c17,plain,
( ~ in('ordered$upair'(X0,X1),sK24)
| in('ordered$upair'(X0,X1),sK21) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c18,plain,
sK21 != sK24,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ in(X0,sK21)
| X0 = 'ordered$upair'(sK16(sK22,sK23,X0),sK17(sK22,sK23,X0)) ),
inference(resolution,[status(thm)],[c9,c14]) ).
cnf(d1,plain,
( in(sK20(sK21,X0),X0)
| sK21 = X0
| sK20(sK21,X0) = 'ordered$upair'(sK16(sK22,sK23,sK20(sK21,X0)),sK17(sK22,sK23,sK20(sK21,X0))) ),
inference(resolution,[status(thm)],[d0,c11]) ).
cnf(d2,plain,
( ~ in(X0,sK24)
| X0 = 'ordered$upair'(sK16(sK25,sK26,X0),sK17(sK25,sK26,X0)) ),
inference(resolution,[status(thm)],[c9,c15]) ).
cnf(d3,plain,
( sK20(sK21,sK24) = 'ordered$upair'(sK16(sK25,sK26,sK20(sK21,sK24)),sK17(sK25,sK26,sK20(sK21,sK24)))
| sK21 = sK24
| sK20(sK21,sK24) = 'ordered$upair'(sK16(sK22,sK23,sK20(sK21,sK24)),sK17(sK22,sK23,sK20(sK21,sK24))) ),
inference(resolution,[status(thm)],[d1,d2]) ).
cnf(d4,plain,
( sK20(sK21,sK24) = 'ordered$upair'(sK16(sK25,sK26,sK20(sK21,sK24)),sK17(sK25,sK26,sK20(sK21,sK24)))
| sK20(sK21,sK24) = 'ordered$upair'(sK16(sK22,sK23,sK20(sK21,sK24)),sK17(sK22,sK23,sK20(sK21,sK24))) ),
inference(resolution,[status(thm)],[c18,d3]) ).
cnf(d5,plain,
( sK20(sK21,sK24) = 'ordered$upair'(sK16(sK22,sK23,sK20(sK21,sK24)),sK17(sK22,sK23,sK20(sK21,sK24)))
| in('ordered$upair'(sK16(sK25,sK26,sK20(sK21,sK24)),sK17(sK25,sK26,sK20(sK21,sK24))),sK21)
| ~ in(sK20(sK21,sK24),sK24) ),
inference(superposition,[status(thm)],[d4,c17]) ).
cnf(d6,plain,
( sK20(sK21,sK24) = 'ordered$upair'(sK16(sK22,sK23,sK20(sK21,sK24)),sK17(sK22,sK23,sK20(sK21,sK24)))
| ~ in(sK20(sK21,sK24),sK24)
| sK20(sK21,sK24) = 'ordered$upair'(sK16(sK22,sK23,sK20(sK21,sK24)),sK17(sK22,sK23,sK20(sK21,sK24)))
| in(sK20(sK21,sK24),sK21) ),
inference(superposition,[status(thm)],[d4,d5]) ).
cnf(d7,plain,
( sK21 = sK24
| sK20(sK21,sK24) = 'ordered$upair'(sK16(sK22,sK23,sK20(sK21,sK24)),sK17(sK22,sK23,sK20(sK21,sK24)))
| in(sK20(sK21,sK24),sK21)
| sK20(sK21,sK24) = 'ordered$upair'(sK16(sK22,sK23,sK20(sK21,sK24)),sK17(sK22,sK23,sK20(sK21,sK24))) ),
inference(resolution,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
( in(sK20(sK21,sK24),sK21)
| sK20(sK21,sK24) = 'ordered$upair'(sK16(sK22,sK23,sK20(sK21,sK24)),sK17(sK22,sK23,sK20(sK21,sK24))) ),
inference(resolution,[status(thm)],[c18,d7]) ).
cnf(d9,plain,
( sK20(sK21,sK24) = 'ordered$upair'(sK16(sK22,sK23,sK20(sK21,sK24)),sK17(sK22,sK23,sK20(sK21,sK24)))
| sK20(sK21,sK24) = 'ordered$upair'(sK16(sK22,sK23,sK20(sK21,sK24)),sK17(sK22,sK23,sK20(sK21,sK24))) ),
inference(resolution,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
( in('ordered$upair'(sK16(sK22,sK23,sK20(sK21,sK24)),sK17(sK22,sK23,sK20(sK21,sK24))),sK21)
| ~ in(sK20(sK21,sK24),sK24) ),
inference(superposition,[status(thm)],[d9,c17]) ).
cnf(d11,plain,
( ~ in(sK20(sK21,sK24),sK24)
| in(sK20(sK21,sK24),sK21) ),
inference(demodulation,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
( in('ordered$upair'(sK16(sK22,sK23,sK20(sK21,sK24)),sK17(sK22,sK23,sK20(sK21,sK24))),sK24)
| ~ in(sK20(sK21,sK24),sK21) ),
inference(superposition,[status(thm)],[d9,c16]) ).
cnf(d13,plain,
( ~ in(sK20(sK21,sK24),sK21)
| in(sK20(sK21,sK24),sK24) ),
inference(demodulation,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
( in(sK20(sK21,sK24),sK24)
| sK21 = sK24
| in(sK20(sK21,sK24),sK24) ),
inference(resolution,[status(thm)],[d13,c11]) ).
cnf(d15,plain,
in(sK20(sK21,sK24),sK24),
inference(resolution,[status(thm)],[c18,d14]) ).
cnf(d16,plain,
in(sK20(sK21,sK24),sK21),
inference(resolution,[status(thm)],[d15,d11]) ).
cnf(d17,plain,
( ~ in(sK20(sK21,sK24),sK24)
| sK21 = sK24 ),
inference(resolution,[status(thm)],[d16,c12]) ).
cnf(d18,plain,
~ in(sK20(sK21,sK24),sK24),
inference(resolution,[status(thm)],[c18,d17]) ).
cnf(d19,plain,
$false,
inference(resolution,[status(thm)],[d15,d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET957+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 08:27:44 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.61/2.81 % SZS status Theorem for theBenchmark.p
% 9.61/2.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------