%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET962+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 : n012.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 10.76s 21.75s
% Output : CNFRefutation 10.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 4 unt; 0 def)
% Number of atoms : 92 ( 36 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 83 ( 22 ~; 55 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 10 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l55_zfmisc_1,axiom,
! [X0,X1,X2,X3] :
( in('ordered$upair'(X0,X1),'cartesian$uproduct2'(X2,X3))
<=> ( in(X1,X3)
& in(X0,X2) ) ) ).
fof(t2_tarski,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ) ).
fof(t115_zfmisc_1,conjecture,
! [X0,X1] :
( 'cartesian$uproduct2'(X0,X0) = 'cartesian$uproduct2'(X1,X1)
=> X0 = X1 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( 'cartesian$uproduct2'(X0,X0) = 'cartesian$uproduct2'(X1,X1)
=> X0 = X1 ),
inference(negate_conjecture,[status(cth)],[t115_zfmisc_1]) ).
cnf(c4,plain,
( in(X0,X2)
| ~ in('ordered$upair'(X0,X1),'cartesian$uproduct2'(X2,X3)) ),
inference(clausification,[status(esa)],[l55_zfmisc_1]) ).
cnf(c5,plain,
( in(X1,X3)
| ~ in('ordered$upair'(X0,X1),'cartesian$uproduct2'(X2,X3)) ),
inference(clausification,[status(esa)],[l55_zfmisc_1]) ).
cnf(c6,plain,
( ~ in(X0,X2)
| ~ in(X1,X3)
| in('ordered$upair'(X0,X1),'cartesian$uproduct2'(X2,X3)) ),
inference(clausification,[status(esa)],[l55_zfmisc_1]) ).
cnf(c10,plain,
( X1 = X0
| in(sK16(X0,X1),X1)
| in(sK16(X0,X1),X0) ),
inference(clausification,[status(esa)],[t2_tarski]) ).
cnf(c11,plain,
( X1 = X0
| ~ in(sK16(X0,X1),X0)
| ~ in(sK16(X0,X1),X1) ),
inference(clausification,[status(esa)],[t2_tarski]) ).
cnf(c13,plain,
'cartesian$uproduct2'(sK18,sK18) = 'cartesian$uproduct2'(sK17,sK17),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c14,plain,
sK18 != sK17,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( in(X0,sK17)
| ~ in('ordered$upair'(X0,X1),'cartesian$uproduct2'(sK18,sK18)) ),
inference(superposition,[status(thm)],[c13,c4]) ).
cnf(d1,plain,
( in(X1,sK17)
| ~ in(X1,sK18)
| ~ in(X0,sK18) ),
inference(resolution,[status(thm)],[c6,d0]) ).
cnf(d2,plain,
( in(X1,sK17)
| ~ in(X1,sK18)
| in(sK16(X0,sK18),X0)
| sK18 = X0 ),
inference(resolution,[status(thm)],[c10,d1]) ).
cnf(d3,plain,
( in(sK16(sK18,X1),X1)
| X1 = sK18
| in(sK16(X0,sK18),X0)
| in(sK16(sK18,X1),sK17)
| sK18 = X0 ),
inference(resolution,[status(thm)],[d2,c10]) ).
cnf(d4,plain,
( in(sK16(sK18,sK17),sK17)
| in(sK16(X0,sK18),X0)
| sK18 = X0
| sK17 = sK18 ),
inference(factoring,[status(thm)],[d3]) ).
cnf(d5,plain,
( ~ in(sK16(X0,sK18),sK18)
| sK18 = X0
| in(sK16(sK18,sK17),sK17)
| sK17 = sK18
| sK18 = X0 ),
inference(resolution,[status(thm)],[d4,c11]) ).
cnf(d6,plain,
( ~ in(X0,sK17)
| ~ in(X1,sK17)
| in('ordered$upair'(X0,X1),'cartesian$uproduct2'(sK18,sK18)) ),
inference(superposition,[status(thm)],[c13,c6]) ).
cnf(d7,plain,
( in(X0,sK18)
| ~ in(X1,sK17)
| ~ in(X0,sK17) ),
inference(resolution,[status(thm)],[d6,c5]) ).
cnf(d8,plain,
( in(sK16(sK17,sK18),sK18)
| ~ in(X0,sK17)
| in(sK16(sK18,sK17),sK17)
| sK17 = sK18
| sK18 = sK17 ),
inference(resolution,[status(thm)],[d4,d7]) ).
cnf(d9,plain,
( in(sK16(sK17,sK18),sK18)
| in(sK16(sK18,sK17),sK17)
| ~ in(X0,sK17)
| sK17 = sK18 ),
inference(resolution,[status(thm)],[c14,d8]) ).
cnf(d10,plain,
( in(sK16(sK18,sK17),sK17)
| sK17 = sK18
| sK18 = sK17
| in(sK16(sK17,sK18),sK18)
| in(sK16(sK18,sK17),sK17)
| sK17 = sK18 ),
inference(resolution,[status(thm)],[d9,d4]) ).
cnf(d11,plain,
( in(sK16(sK17,sK18),sK18)
| in(sK16(sK18,sK17),sK17)
| sK17 = sK18 ),
inference(resolution,[status(thm)],[c14,d10]) ).
cnf(d12,plain,
( in(sK16(sK18,sK17),sK17)
| sK17 = sK18
| sK18 = sK17
| in(sK16(sK18,sK17),sK17)
| sK17 = sK18 ),
inference(resolution,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
( in(sK16(sK18,sK17),sK17)
| sK17 = sK18 ),
inference(resolution,[status(thm)],[c14,d12]) ).
cnf(d14,plain,
( in(sK16(sK18,sK17),sK18)
| ~ in(X0,sK17)
| sK17 = sK18 ),
inference(resolution,[status(thm)],[d13,d7]) ).
cnf(d15,plain,
( sK17 = sK18
| in(sK16(sK18,sK17),sK18)
| sK17 = sK18 ),
inference(resolution,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
( ~ in(sK16(sK18,sK17),sK17)
| sK17 = sK18
| sK17 = sK18 ),
inference(resolution,[status(thm)],[d15,c11]) ).
cnf(d17,plain,
( sK17 = sK18
| sK17 = sK18 ),
inference(resolution,[status(thm)],[d16,d13]) ).
cnf(d18,plain,
sK18 != sK18,
inference(demodulation,[status(thm)],[c14,d17]) ).
cnf(d19,plain,
$false,
inference(equality_resolution,[status(thm)],[d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET962+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/20.32 % Computer : n012.cluster.edu
% 0.05/20.32 % Model : x86_64 x86_64
% 0.05/20.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/20.32 % Memory : 8046.5625MB
% 0.05/20.32 % OS : Linux 6.8.0-71-generic
% 0.05/20.33 % CPULimit : 300
% 0.05/20.33 % WCLimit : 300
% 0.05/20.33 % DateTime : Sat Sep 26 08:28:27 UTC 2026
% 0.05/20.33 % CPUTime :
% 0.05/20.33 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.76/21.75 % SZS status Theorem for theBenchmark.p
% 10.76/21.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------