%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CAT019-2 : 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 : n016.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 06:55:38 AM UTC 2026
% Result : Unsatisfiable 12.89s 2.31s
% Output : CNFRefutation 12.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 8 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(equality_to_c1_and_c2_1,hypothesis,
( c1 = X0
| c2 != X0 ) ).
cnf(prove_c1_equals_c2,negated_conjecture,
c2 != c1 ).
cnf(c0,plain,
( c1 = X0
| c2 != X0 ),
inference(clausification,[status(esa)],[equality_to_c1_and_c2_1]) ).
cnf(c2,plain,
c2 != c1,
inference(clausification,[status(esa)],[prove_c1_equals_c2]) ).
cnf(d0,plain,
c1 = c2,
inference(equality_resolution,[status(thm)],[c0]) ).
cnf(d1,plain,
c2 != c2,
inference(demodulation,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
$false,
inference(equality_resolution,[status(thm)],[d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CAT019-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n016.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sat Sep 26 22:55:17 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.89/2.31 % SZS status Unsatisfiable for theBenchmark.p
% 12.89/2.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------