%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET055-7 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 08:31:47 AM UTC 2026
% Result : Unsatisfiable 26.91s 3.86s
% Output : CNFRefutation 26.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 14 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_implies_equal,axiom,
( equalish(X0,X1)
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ) ).
cnf(subclass_is_reflexive,axiom,
subclass(X0,X0) ).
cnf(prove_reflexivity,negated_conjecture,
~ equalish(x,x) ).
cnf(c73,plain,
( equalish(X0,X1)
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(clausification,[status(esa)],[subclass_implies_equal]) ).
cnf(c162,plain,
subclass(X0,X0),
inference(clausification,[status(esa)],[subclass_is_reflexive]) ).
cnf(c164,plain,
~ equalish(x,x),
inference(clausification,[status(esa)],[prove_reflexivity]) ).
cnf(d0,plain,
( ~ subclass(X0,X0)
| equalish(X0,X0) ),
inference(resolution,[status(thm)],[c73,c162]) ).
cnf(d1,plain,
equalish(X0,X0),
inference(resolution,[status(thm)],[c162,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET055-7 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 07:03:13 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.91/3.86 % SZS status Unsatisfiable for theBenchmark.p
% 26.91/3.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------