%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET891+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 : 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 08:33:30 AM UTC 2026
% Result : Theorem 11.22s 1.86s
% Output : CNFRefutation 11.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l52_zfmisc_1,axiom,
! [X0,X1] : union('unordered$upair'(X0,X1)) = 'set$uunion2'(X0,X1) ).
fof(t41_enumset1,axiom,
! [X0,X1] : 'unordered$upair'(X0,X1) = 'set$uunion2'(singleton(X0),singleton(X1)) ).
fof(t32_zfmisc_1,conjecture,
! [X0,X1] : union('unordered$upair'(singleton(X0),singleton(X1))) = 'unordered$upair'(X0,X1) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] : union('unordered$upair'(singleton(X0),singleton(X1))) = 'unordered$upair'(X0,X1),
inference(negate_conjecture,[status(cth)],[t32_zfmisc_1]) ).
cnf(c5,plain,
union('unordered$upair'(X0,X1)) = 'set$uunion2'(X0,X1),
inference(clausification,[status(esa)],[l52_zfmisc_1]) ).
cnf(c8,plain,
'unordered$upair'(X0,X1) = 'set$uunion2'(singleton(X0),singleton(X1)),
inference(clausification,[status(esa)],[t41_enumset1]) ).
cnf(c9,plain,
union('unordered$upair'(singleton(sK16),singleton(sK17))) != 'unordered$upair'(sK16,sK17),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'set$uunion2'(singleton(sK16),singleton(sK17)) != 'unordered$upair'(sK16,sK17),
inference(demodulation,[status(thm)],[c9,c5]) ).
cnf(d1,plain,
'unordered$upair'(sK16,sK17) != 'unordered$upair'(sK16,sK17),
inference(demodulation,[status(thm)],[d0,c8]) ).
cnf(d2,plain,
$false,
inference(equality_resolution,[status(thm)],[d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET891+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n016.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 08:29:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.22/1.86 % SZS status Theorem for theBenchmark.p
% 11.22/1.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------