%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET886+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 08:33:30 AM UTC 2026
% Result : Theorem 9.98s 1.63s
% Output : CNFRefutation 9.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 13 unt; 0 def)
% Number of atoms : 23 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 2 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity_k2_tarski,axiom,
! [X0,X1] : 'unordered$upair'(X0,X1) = 'unordered$upair'(X1,X0) ).
fof(t26_zfmisc_1,axiom,
! [X0,X1,X2] :
( subset('unordered$upair'(X0,X1),singleton(X2))
=> X0 = X2 ) ).
fof(t69_enumset1,axiom,
! [X0] : 'unordered$upair'(X0,X0) = singleton(X0) ).
fof(t27_zfmisc_1,conjecture,
! [X0,X1,X2] :
( subset('unordered$upair'(X0,X1),singleton(X2))
=> 'unordered$upair'(X0,X1) = singleton(X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( subset('unordered$upair'(X0,X1),singleton(X2))
=> 'unordered$upair'(X0,X1) = singleton(X2) ),
inference(negate_conjecture,[status(cth)],[t27_zfmisc_1]) ).
cnf(c0,plain,
'unordered$upair'(X0,X1) = 'unordered$upair'(X1,X0),
inference(clausification,[status(esa)],[commutativity_k2_tarski]) ).
cnf(c4,plain,
( X0 = X2
| ~ subset('unordered$upair'(X0,X1),singleton(X2)) ),
inference(clausification,[status(esa)],[t26_zfmisc_1]) ).
cnf(c5,plain,
'unordered$upair'(X0,X0) = singleton(X0),
inference(clausification,[status(esa)],[t69_enumset1]) ).
cnf(c6,plain,
subset('unordered$upair'(sK10,sK11),singleton(sK12)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c7,plain,
'unordered$upair'(sK10,sK11) != singleton(sK12),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sK10 = sK12,
inference(resolution,[status(thm)],[c4,c6]) ).
cnf(d1,plain,
subset('unordered$upair'(sK10,sK11),singleton(sK10)),
inference(demodulation,[status(thm)],[c6,d0]) ).
cnf(d2,plain,
( X0 = X2
| ~ subset('unordered$upair'(X1,X0),singleton(X2)) ),
inference(superposition,[status(thm)],[c0,c4]) ).
cnf(d3,plain,
sK11 = sK10,
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
'unordered$upair'(sK10,sK11) != singleton(sK10),
inference(demodulation,[status(thm)],[c7,d0]) ).
cnf(d5,plain,
'unordered$upair'(sK10,sK10) != singleton(sK10),
inference(demodulation,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
singleton(sK10) != singleton(sK10),
inference(demodulation,[status(thm)],[d5,c5]) ).
cnf(d7,plain,
$false,
inference(equality_resolution,[status(thm)],[d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET886+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n009.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 08:23:59 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.98/1.63 % SZS status Theorem for theBenchmark.p
% 9.98/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------