%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET076-6 : 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 : n008.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 08:31:55 AM UTC 2026
% Result : Unsatisfiable 17.80s 9.03s
% Output : CNFRefutation 17.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 9 unt; 8 nHn; 17 RR)
% Number of literals : 35 ( 11 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_unordered_pair_is_subset_1,negated_conjecture,
member(x,z) ).
cnf(prove_unordered_pair_is_subset_2,negated_conjecture,
member(y,z) ).
cnf(prove_unordered_pair_is_subset_3,negated_conjecture,
~ subclass('unordered$upair'(x,y),z) ).
cnf(not_subclass_members1,axiom,
( subclass(X0,X1)
| member('not$usubclass$uelement'(X0,X1),X0) ) ).
cnf(not_subclass_members2,axiom,
( subclass(X0,X1)
| ~ member('not$usubclass$uelement'(X0,X1),X1) ) ).
cnf(unordered_pair_member,axiom,
( X0 = X2
| X0 = X1
| ~ member(X0,'unordered$upair'(X1,X2)) ) ).
cnf(c0,plain,
member(x,z),
inference(clausification,[status(esa)],[prove_unordered_pair_is_subset_1]) ).
cnf(c1,plain,
member(y,z),
inference(clausification,[status(esa)],[prove_unordered_pair_is_subset_2]) ).
cnf(c2,plain,
~ subclass('unordered$upair'(x,y),z),
inference(clausification,[status(esa)],[prove_unordered_pair_is_subset_3]) ).
cnf(c4,plain,
( subclass(X0,X1)
| member('not$usubclass$uelement'(X0,X1),X0) ),
inference(clausification,[status(esa)],[not_subclass_members1]) ).
cnf(c5,plain,
( subclass(X0,X1)
| ~ member('not$usubclass$uelement'(X0,X1),X1) ),
inference(clausification,[status(esa)],[not_subclass_members2]) ).
cnf(c10,plain,
( X0 = X2
| X0 = X1
| ~ member(X0,'unordered$upair'(X1,X2)) ),
inference(clausification,[status(esa)],[unordered_pair_member]) ).
cnf(d0,plain,
( subclass('unordered$upair'(X0,X1),X2)
| 'not$usubclass$uelement'('unordered$upair'(X0,X1),X2) = X0
| 'not$usubclass$uelement'('unordered$upair'(X0,X1),X2) = X1 ),
inference(resolution,[status(thm)],[c10,c4]) ).
cnf(d1,plain,
( 'not$usubclass$uelement'('unordered$upair'(x,y),z) = x
| 'not$usubclass$uelement'('unordered$upair'(x,y),z) = y ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
( 'not$usubclass$uelement'('unordered$upair'(x,y),z) = x
| subclass('unordered$upair'(x,y),z)
| ~ member(y,z) ),
inference(superposition,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
( subclass('unordered$upair'(x,y),z)
| 'not$usubclass$uelement'('unordered$upair'(x,y),z) = x ),
inference(resolution,[status(thm)],[c1,d2]) ).
cnf(d4,plain,
'not$usubclass$uelement'('unordered$upair'(x,y),z) = x,
inference(resolution,[status(thm)],[c2,d3]) ).
cnf(d5,plain,
( subclass('unordered$upair'(x,y),z)
| ~ member(x,z) ),
inference(superposition,[status(thm)],[d4,c5]) ).
cnf(d6,plain,
subclass('unordered$upair'(x,y),z),
inference(resolution,[status(thm)],[c0,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c2,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET076-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n008.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 07:04:09 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.80/9.03 % SZS status Unsatisfiable for theBenchmark.p
% 17.80/9.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------