%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET296-6 : 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 : n017.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 08:32:26 AM UTC 2026
% Result : Unsatisfiable 13.43s 4.13s
% Output : CNFRefutation 13.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 5 ( 4 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_domain_of_inverse_1,negated_conjecture,
'domain$uof'(inverse(x)) != 'range$uof'(x) ).
cnf(range_of,axiom,
'domain$uof'(inverse(X0)) = 'range$uof'(X0) ).
cnf(c0,plain,
'domain$uof'(inverse(x)) != 'range$uof'(x),
inference(clausification,[status(esa)],[prove_domain_of_inverse_1]) ).
cnf(c39,plain,
'domain$uof'(inverse(X0)) = 'range$uof'(X0),
inference(clausification,[status(esa)],[range_of]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c39,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET296-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.38 % Computer : n017.cluster.edu
% 0.08/0.38 % Model : x86_64 x86_64
% 0.08/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.38 % Memory : 8046.5625MB
% 0.08/0.38 % OS : Linux 6.8.0-71-generic
% 0.08/0.38 % CPULimit : 300
% 0.08/0.38 % WCLimit : 300
% 0.08/0.38 % DateTime : Sat Sep 26 07:23:33 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.43/4.13 % SZS status Unsatisfiable for theBenchmark.p
% 13.43/4.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------