%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET074-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 08:31:54 AM UTC 2026
% Result : Unsatisfiable 16.80s 2.55s
% Output : CNFRefutation 16.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 11 unt; 0 nHn; 10 RR)
% Number of literals : 17 ( 5 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_null_class,axiom,
~ member(X0,'null$uclass') ).
cnf(commutativity_of_unordered_pair,axiom,
'unordered$upair'(X0,X1) = 'unordered$upair'(X1,X0) ).
cnf(prove_corollary_to_unordered_pair_axiom2_1,negated_conjecture,
member(y,'universal$uclass') ).
cnf(prove_corollary_to_unordered_pair_axiom2_2,negated_conjecture,
'unordered$upair'(x,y) = 'null$uclass' ).
cnf(unordered_pair2,axiom,
( member(X0,'unordered$upair'(X0,X1))
| ~ member(X0,'universal$uclass') ) ).
cnf(c11,plain,
~ member(X0,'null$uclass'),
inference(clausification,[status(esa)],[existence_of_null_class]) ).
cnf(c16,plain,
'unordered$upair'(X0,X1) = 'unordered$upair'(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_unordered_pair]) ).
cnf(c24,plain,
member(y,'universal$uclass'),
inference(clausification,[status(esa)],[prove_corollary_to_unordered_pair_axiom2_1]) ).
cnf(c25,plain,
'unordered$upair'(x,y) = 'null$uclass',
inference(clausification,[status(esa)],[prove_corollary_to_unordered_pair_axiom2_2]) ).
cnf(c34,plain,
( member(X0,'unordered$upair'(X0,X1))
| ~ member(X0,'universal$uclass') ),
inference(clausification,[status(esa)],[unordered_pair2]) ).
cnf(d0,plain,
'unordered$upair'(y,x) = 'null$uclass',
inference(demodulation,[status(thm)],[c25,c16]) ).
cnf(d1,plain,
( ~ member(y,'universal$uclass')
| member(y,'null$uclass') ),
inference(superposition,[status(thm)],[d0,c34]) ).
cnf(d2,plain,
~ member(y,'universal$uclass'),
inference(resolution,[status(thm)],[c11,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c24,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET074-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.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 07:05:23 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.80/2.55 % SZS status Unsatisfiable for theBenchmark.p
% 16.80/2.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------