%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN014-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 09:20:41 AM UTC 2026
% Result : Unsatisfiable 11.54s 1.82s
% Output : CNFRefutation 11.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 9 unt; 0 nHn; 14 RR)
% Number of literals : 21 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(symmetryish,axiom,
( equalish(X1,X0)
| ~ equalish(X0,X1) ) ).
cnf(transitivityish,axiom,
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ) ).
cnf(c_19,negated_conjecture,
~ equalish(m,n) ).
cnf(c_20,negated_conjecture,
equalish(n,k) ).
cnf(c_23,negated_conjecture,
equalish(m,k) ).
cnf(c1,plain,
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(clausification,[status(esa)],[symmetryish]) ).
cnf(c2,plain,
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
inference(clausification,[status(esa)],[transitivityish]) ).
cnf(c21,plain,
~ equalish(m,n),
inference(clausification,[status(esa)],[c_19]) ).
cnf(c22,plain,
equalish(n,k),
inference(clausification,[status(esa)],[c_20]) ).
cnf(c25,plain,
equalish(m,k),
inference(clausification,[status(esa)],[c_23]) ).
cnf(d0,plain,
equalish(k,n),
inference(resolution,[status(thm)],[c22,c1]) ).
cnf(d1,plain,
( ~ equalish(X0,k)
| equalish(X0,n) ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
equalish(m,n),
inference(resolution,[status(thm)],[d1,c25]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c21,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN014-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 17:04:31 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.54/1.82 % SZS status Unsatisfiable for theBenchmark.p
% 11.54/1.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------