%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET959+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 11.02s 1.80s
% Output : CNFRefutation 11.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 29 ( 5 unt; 0 def)
% Number of atoms : 75 ( 32 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 70 ( 24 ~; 32 |; 8 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t2_tarski,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ) ).
fof(t112_zfmisc_1,conjecture,
! [X0,X1] :
( ( ! [X2,X3] :
( in('ordered$upair'(X2,X3),X0)
<=> in('ordered$upair'(X2,X3),X1) )
& ! [X2] :
~ ( ! [X3,X4] : X2 != 'ordered$upair'(X3,X4)
& in(X2,X1) )
& ! [X2] :
~ ( ! [X3,X4] : X2 != 'ordered$upair'(X3,X4)
& in(X2,X0) ) )
=> 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$upair'(X3,X4)
& in(X2,X1) )
& ! [X2] :
~ ( ! [X3,X4] : X2 != 'ordered$upair'(X3,X4)
& in(X2,X0) ) )
=> X0 = X1 ),
inference(negate_conjecture,[status(cth)],[t112_zfmisc_1]) ).
cnf(c7,plain,
( X0 = X1
| in(sK12(X0,X1),X1)
| in(sK12(X0,X1),X0) ),
inference(clausification,[status(esa)],[t2_tarski]) ).
cnf(c8,plain,
( X0 = X1
| ~ in(sK12(X0,X1),X0)
| ~ in(sK12(X0,X1),X1) ),
inference(clausification,[status(esa)],[t2_tarski]) ).
cnf(c10,plain,
( X0 = 'ordered$upair'(sK16(X0),sK17(X0))
| ~ in(X0,sK13) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c11,plain,
( X0 = 'ordered$upair'(sK19(X0),sK20(X0))
| ~ in(X0,sK14) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
( in('ordered$upair'(X0,X1),sK14)
| ~ in('ordered$upair'(X0,X1),sK13) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c13,plain,
( ~ in('ordered$upair'(X0,X1),sK14)
| in('ordered$upair'(X0,X1),sK13) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c14,plain,
sK13 != sK14,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( sK12(sK13,X0) = 'ordered$upair'(sK16(sK12(sK13,X0)),sK17(sK12(sK13,X0)))
| in(sK12(sK13,X0),X0)
| sK13 = X0 ),
inference(resolution,[status(thm)],[c7,c10]) ).
cnf(d1,plain,
( sK12(X0,sK14) = 'ordered$upair'(sK19(sK12(X0,sK14)),sK20(sK12(X0,sK14)))
| in(sK12(X0,sK14),X0)
| X0 = sK14 ),
inference(resolution,[status(thm)],[c7,c11]) ).
cnf(d2,plain,
( sK12(sK13,sK14) = 'ordered$upair'(sK16(sK12(sK13,sK14)),sK17(sK12(sK13,sK14)))
| sK12(sK13,sK14) = 'ordered$upair'(sK19(sK12(sK13,sK14)),sK20(sK12(sK13,sK14)))
| sK13 = sK14 ),
inference(resolution,[status(thm)],[d1,c10]) ).
cnf(d3,plain,
( sK12(sK13,sK14) = 'ordered$upair'(sK19(sK12(sK13,sK14)),sK20(sK12(sK13,sK14)))
| sK12(sK13,sK14) = 'ordered$upair'(sK16(sK12(sK13,sK14)),sK17(sK12(sK13,sK14))) ),
inference(resolution,[status(thm)],[c14,d2]) ).
cnf(d4,plain,
( sK12(sK13,sK14) = 'ordered$upair'(sK16(sK12(sK13,sK14)),sK17(sK12(sK13,sK14)))
| in('ordered$upair'(sK19(sK12(sK13,sK14)),sK20(sK12(sK13,sK14))),sK13)
| ~ in(sK12(sK13,sK14),sK14) ),
inference(superposition,[status(thm)],[d3,c13]) ).
cnf(d5,plain,
( sK12(sK13,sK14) = 'ordered$upair'(sK16(sK12(sK13,sK14)),sK17(sK12(sK13,sK14)))
| ~ in(sK12(sK13,sK14),sK14)
| sK12(sK13,sK14) = 'ordered$upair'(sK16(sK12(sK13,sK14)),sK17(sK12(sK13,sK14)))
| in(sK12(sK13,sK14),sK13) ),
inference(superposition,[status(thm)],[d3,d4]) ).
cnf(d6,plain,
( sK13 = sK14
| sK12(sK13,sK14) = 'ordered$upair'(sK16(sK12(sK13,sK14)),sK17(sK12(sK13,sK14)))
| in(sK12(sK13,sK14),sK13)
| sK12(sK13,sK14) = 'ordered$upair'(sK16(sK12(sK13,sK14)),sK17(sK12(sK13,sK14))) ),
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
( in(sK12(sK13,sK14),sK13)
| sK12(sK13,sK14) = 'ordered$upair'(sK16(sK12(sK13,sK14)),sK17(sK12(sK13,sK14))) ),
inference(resolution,[status(thm)],[c14,d6]) ).
cnf(d8,plain,
( sK12(sK13,sK14) = 'ordered$upair'(sK16(sK12(sK13,sK14)),sK17(sK12(sK13,sK14)))
| sK12(sK13,sK14) = 'ordered$upair'(sK16(sK12(sK13,sK14)),sK17(sK12(sK13,sK14))) ),
inference(resolution,[status(thm)],[d7,c10]) ).
cnf(d9,plain,
( in('ordered$upair'(sK16(sK12(sK13,sK14)),sK17(sK12(sK13,sK14))),sK14)
| ~ in(sK12(sK13,sK14),sK13) ),
inference(superposition,[status(thm)],[d8,c12]) ).
cnf(d10,plain,
( ~ in(sK12(sK13,sK14),sK13)
| in(sK12(sK13,sK14),sK14) ),
inference(demodulation,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
( in('ordered$upair'(sK16(sK12(sK13,sK14)),sK17(sK12(sK13,sK14))),sK13)
| ~ in(sK12(sK13,sK14),sK14) ),
inference(superposition,[status(thm)],[d8,c13]) ).
cnf(d12,plain,
( ~ in(sK12(sK13,sK14),sK14)
| in(sK12(sK13,sK14),sK13) ),
inference(demodulation,[status(thm)],[d11,d8]) ).
cnf(d13,plain,
( in(sK12(sK13,sK14),sK13)
| sK13 = sK14
| in(sK12(sK13,sK14),sK13) ),
inference(resolution,[status(thm)],[d12,c7]) ).
cnf(d14,plain,
in(sK12(sK13,sK14),sK13),
inference(resolution,[status(thm)],[c14,d13]) ).
cnf(d15,plain,
in(sK12(sK13,sK14),sK14),
inference(resolution,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
( ~ in(sK12(sK13,sK14),sK14)
| sK13 = sK14 ),
inference(resolution,[status(thm)],[d14,c8]) ).
cnf(d17,plain,
~ in(sK12(sK13,sK14),sK14),
inference(resolution,[status(thm)],[c14,d16]) ).
cnf(d18,plain,
$false,
inference(resolution,[status(thm)],[d17,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET959+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.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 08:27:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.02/1.80 % SZS status Theorem for theBenchmark.p
% 11.02/1.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------