%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET563-6 : 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 : 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 08:32:46 AM UTC 2026
% Result : Unsatisfiable 15.63s 2.76s
% Output : CNFRefutation 15.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 14 RR)
% Number of literals : 18 ( 3 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 12 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_compatible_function_property3_1,negated_conjecture,
compatible(xh1,xf1,xf2) ).
cnf(prove_compatible_function_property3_2,negated_conjecture,
compatible(xh2,xf2,xf3) ).
cnf(prove_compatible_function_property3_3,negated_conjecture,
~ subclass('range$uof'(xh1),'domain$uof'(xh2)) ).
cnf(compatible2,axiom,
( 'domain$uof'('domain$uof'(X1)) = 'domain$uof'(X0)
| ~ compatible(X0,X1,X2) ) ).
cnf(compatible3,axiom,
( subclass('range$uof'(X0),'domain$uof'('domain$uof'(X2)))
| ~ compatible(X0,X1,X2) ) ).
cnf(c0,plain,
compatible(xh1,xf1,xf2),
inference(clausification,[status(esa)],[prove_compatible_function_property3_1]) ).
cnf(c1,plain,
compatible(xh2,xf2,xf3),
inference(clausification,[status(esa)],[prove_compatible_function_property3_2]) ).
cnf(c2,plain,
~ subclass('range$uof'(xh1),'domain$uof'(xh2)),
inference(clausification,[status(esa)],[prove_compatible_function_property3_3]) ).
cnf(c85,plain,
( 'domain$uof'('domain$uof'(X1)) = 'domain$uof'(X0)
| ~ compatible(X0,X1,X2) ),
inference(clausification,[status(esa)],[compatible2]) ).
cnf(c86,plain,
( subclass('range$uof'(X0),'domain$uof'('domain$uof'(X2)))
| ~ compatible(X0,X1,X2) ),
inference(clausification,[status(esa)],[compatible3]) ).
cnf(d0,plain,
'domain$uof'('domain$uof'(xf2)) = 'domain$uof'(xh2),
inference(resolution,[status(thm)],[c85,c1]) ).
cnf(d1,plain,
subclass('range$uof'(xh1),'domain$uof'('domain$uof'(xf2))),
inference(resolution,[status(thm)],[c86,c0]) ).
cnf(d2,plain,
subclass('range$uof'(xh1),'domain$uof'(xh2)),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c2,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET563-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.71 % Computer : n009.cluster.edu
% 0.09/0.71 % Model : x86_64 x86_64
% 0.09/0.71 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.71 % Memory : 8046.5625MB
% 0.09/0.71 % OS : Linux 6.8.0-71-generic
% 0.09/0.71 % CPULimit : 300
% 0.09/0.71 % WCLimit : 300
% 0.09/0.71 % DateTime : Sat Sep 26 07:55:30 UTC 2026
% 0.09/0.71 % CPUTime :
% 0.09/0.71 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.63/2.76 % SZS status Unsatisfiable for theBenchmark.p
% 15.63/2.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------