%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : FLD025-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 07:10:48 AM UTC 2026
% Result : Unsatisfiable 177.71s 42.53s
% Output : CNFRefutation 177.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 12 unt; 0 nHn; 25 RR)
% Number of literals : 58 ( 0 equ; 39 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b_is_defined,hypothesis,
defined(b) ).
cnf(c_is_defined,hypothesis,
defined(c) ).
cnf(a_equals_b_5,negated_conjecture,
equalish(a,b) ).
cnf(c_equals_d_6,negated_conjecture,
equalish(c,d) ).
cnf(multiply_not_equal_to_multiply_7,negated_conjecture,
~ equalish(multiply(a,c),multiply(d,b)) ).
cnf(commutativity_multiplication,axiom,
( ~ defined(X1)
| ~ defined(X0)
| equalish(multiply(X0,X1),multiply(X1,X0)) ) ).
cnf(transitivity_of_equality,axiom,
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ) ).
cnf(compatibility_of_equality_and_multiplication,axiom,
( ~ equalish(X0,X2)
| ~ defined(X1)
| equalish(multiply(X0,X1),multiply(X2,X1)) ) ).
cnf(c1,plain,
defined(b),
inference(clausification,[status(esa)],[b_is_defined]) ).
cnf(c2,plain,
defined(c),
inference(clausification,[status(esa)],[c_is_defined]) ).
cnf(c4,plain,
equalish(a,b),
inference(clausification,[status(esa)],[a_equals_b_5]) ).
cnf(c5,plain,
equalish(c,d),
inference(clausification,[status(esa)],[c_equals_d_6]) ).
cnf(c6,plain,
~ equalish(multiply(a,c),multiply(d,b)),
inference(clausification,[status(esa)],[multiply_not_equal_to_multiply_7]) ).
cnf(c14,plain,
( ~ defined(X1)
| equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X0) ),
inference(clausification,[status(esa)],[commutativity_multiplication]) ).
cnf(c29,plain,
( ~ equalish(X1,X2)
| equalish(X0,X2)
| ~ equalish(X0,X1) ),
inference(clausification,[status(esa)],[transitivity_of_equality]) ).
cnf(c31,plain,
( ~ equalish(X1,X2)
| equalish(multiply(X1,X0),multiply(X2,X0))
| ~ defined(X0) ),
inference(clausification,[status(esa)],[compatibility_of_equality_and_multiplication]) ).
cnf(d0,plain,
( ~ equalish(X3,multiply(X1,X0))
| equalish(X3,multiply(X2,X0))
| ~ equalish(X1,X2)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[c31,c29]) ).
cnf(d1,plain,
( ~ equalish(X2,multiply(X1,X0))
| equalish(X2,multiply(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[c14,c29]) ).
cnf(d2,plain,
( ~ equalish(X2,X0)
| ~ defined(X1)
| equalish(multiply(X2,X1),multiply(X1,X0))
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[d1,c31]) ).
cnf(d3,plain,
( ~ equalish(X0,X3)
| equalish(multiply(X2,X0),multiply(X3,X1))
| ~ defined(X1)
| ~ equalish(X2,X1)
| ~ defined(X1)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ equalish(c,d)
| ~ equalish(a,b)
| ~ defined(c)
| ~ defined(b) ),
inference(resolution,[status(thm)],[d3,c6]) ).
cnf(d5,plain,
( ~ equalish(c,d)
| ~ equalish(a,b)
| ~ defined(c) ),
inference(resolution,[status(thm)],[c1,d4]) ).
cnf(d6,plain,
( ~ equalish(c,d)
| ~ equalish(a,b) ),
inference(resolution,[status(thm)],[c2,d5]) ).
cnf(d7,plain,
~ equalish(c,d),
inference(resolution,[status(thm)],[c4,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c5,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD025-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 02:26:20 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 177.71/42.53 % SZS status Unsatisfiable for theBenchmark.p
% 177.71/42.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------