%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET017+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 08:31:36 AM UTC 2026
% Result : Theorem 11.63s 3.19s
% Output : CNFRefutation 11.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 56 ( 30 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 13 ~; 17 |; 7 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 6 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(unordered_pair_defn,axiom,
! [X0,X1,X2] :
( member(X0,'unordered$upair'(X1,X2))
<=> ( ( X0 = X2
| X0 = X1 )
& member(X0,'universal$uclass') ) ) ).
fof(unordered_pair,axiom,
! [X0,X1] : member('unordered$upair'(X0,X1),'universal$uclass') ).
fof(first_second,axiom,
! [X0,X1] :
( ( member(X1,'universal$uclass')
& member(X0,'universal$uclass') )
=> ( second('ordered$upair'(X0,X1)) = X1
& first('ordered$upair'(X0,X1)) = X0 ) ) ).
fof(left_cancellation,conjecture,
! [X0,X1,X2] :
( ( 'unordered$upair'(X0,X1) = 'unordered$upair'(X0,X2)
& member(X2,'universal$uclass')
& member(X1,'universal$uclass') )
=> X1 = X2 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( 'unordered$upair'(X0,X1) = 'unordered$upair'(X0,X2)
& member(X2,'universal$uclass')
& member(X1,'universal$uclass') )
=> X1 = X2 ),
inference(negate_conjecture,[status(cth)],[left_cancellation]) ).
cnf(c8,plain,
( X0 = X2
| X0 = X1
| ~ member(X0,'unordered$upair'(X1,X2)) ),
inference(clausification,[status(esa)],[unordered_pair_defn]) ).
cnf(c10,plain,
( X0 != X2
| ~ member(X0,'universal$uclass')
| member(X0,'unordered$upair'(X1,X2)) ),
inference(clausification,[status(esa)],[unordered_pair_defn]) ).
cnf(c11,plain,
member('unordered$upair'(X0,X1),'universal$uclass'),
inference(clausification,[status(esa)],[unordered_pair]) ).
cnf(c18,plain,
( second('ordered$upair'(X0,X1)) = X1
| ~ member(X1,'universal$uclass')
| ~ member(X0,'universal$uclass') ),
inference(clausification,[status(esa)],[first_second]) ).
cnf(c89,plain,
member(sK91,'universal$uclass'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c90,plain,
member(sK92,'universal$uclass'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c91,plain,
'unordered$upair'(sK90,sK91) = 'unordered$upair'(sK90,sK92),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c92,plain,
sK91 != sK92,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( X0 = sK90
| X0 = sK92
| ~ member(X0,'unordered$upair'(sK90,sK91)) ),
inference(superposition,[status(thm)],[c91,c8]) ).
cnf(d1,plain,
( member(X0,'unordered$upair'(X1,X0))
| ~ member(X0,'universal$uclass') ),
inference(equality_resolution,[status(thm)],[c10]) ).
cnf(d2,plain,
( sK91 = sK90
| sK91 = sK92
| ~ member(sK91,'universal$uclass') ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( sK91 = sK90
| sK91 = sK92 ),
inference(resolution,[status(thm)],[c89,d2]) ).
cnf(d4,plain,
sK91 = sK90,
inference(resolution,[status(thm)],[c92,d3]) ).
cnf(d5,plain,
( ~ member(sK92,'universal$uclass')
| member(sK92,'unordered$upair'(sK90,sK91)) ),
inference(superposition,[status(thm)],[c91,d1]) ).
cnf(d6,plain,
member(sK92,'unordered$upair'(sK90,sK91)),
inference(resolution,[status(thm)],[c90,d5]) ).
cnf(d7,plain,
( sK92 = sK90
| sK92 = sK91 ),
inference(resolution,[status(thm)],[d6,c8]) ).
cnf(d8,plain,
( sK92 = sK91
| sK92 = sK91 ),
inference(demodulation,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
sK91 != sK91,
inference(demodulation,[status(thm)],[c92,d8]) ).
cnf(d10,plain,
( ~ member(X0,'universal$uclass')
| second('ordered$upair'(X0,sK91)) = sK91 ),
inference(resolution,[status(thm)],[c18,c89]) ).
cnf(d11,plain,
second('ordered$upair'('unordered$upair'(X0,X1),sK91)) = sK91,
inference(resolution,[status(thm)],[d10,c11]) ).
cnf(d12,plain,
second('ordered$upair'('unordered$upair'(sK90,sK91),sK91)) = sK91,
inference(superposition,[status(thm)],[c91,d11]) ).
cnf(d13,plain,
sK91 = sK91,
inference(demodulation,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d13,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET017+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 06:51:23 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.63/3.19 % SZS status Theorem for theBenchmark.p
% 11.63/3.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------