%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : FLD034-1 : 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 07:10:50 AM UTC 2026
% Result : Unsatisfiable 10.21s 3.31s
% Output : CNFRefutation 10.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 8 unt; 0 nHn; 17 RR)
% Number of literals : 33 ( 0 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a_is_defined,hypothesis,
defined(a) ).
cnf(m_equals_multiplicative_identity_3,negated_conjecture,
equalish(m,'multiplicative$uidentity') ).
cnf(multiply_not_equal_to_a_4,negated_conjecture,
~ equalish(multiply(m,a),a) ).
cnf(existence_of_identity_multiplication,axiom,
( ~ defined(X0)
| equalish(multiply('multiplicative$uidentity',X0),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(c0,plain,
defined(a),
inference(clausification,[status(esa)],[a_is_defined]) ).
cnf(c2,plain,
equalish(m,'multiplicative$uidentity'),
inference(clausification,[status(esa)],[m_equals_multiplicative_identity_3]) ).
cnf(c3,plain,
~ equalish(multiply(m,a),a),
inference(clausification,[status(esa)],[multiply_not_equal_to_a_4]) ).
cnf(c9,plain,
( ~ defined(X0)
| equalish(multiply('multiplicative$uidentity',X0),X0) ),
inference(clausification,[status(esa)],[existence_of_identity_multiplication]) ).
cnf(c26,plain,
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
inference(clausification,[status(esa)],[transitivity_of_equality]) ).
cnf(c28,plain,
( ~ equalish(X0,X2)
| ~ defined(X1)
| equalish(multiply(X0,X1),multiply(X2,X1)) ),
inference(clausification,[status(esa)],[compatibility_of_equality_and_multiplication]) ).
cnf(d0,plain,
( ~ defined(X1)
| ~ equalish(X0,multiply('multiplicative$uidentity',X1))
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[c26,c9]) ).
cnf(d1,plain,
( ~ equalish(X1,'multiplicative$uidentity')
| ~ defined(X0)
| equalish(multiply(X1,X0),X0)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[d0,c28]) ).
cnf(d2,plain,
( ~ equalish(m,'multiplicative$uidentity')
| ~ defined(a) ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
~ equalish(m,'multiplicative$uidentity'),
inference(resolution,[status(thm)],[c0,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c2,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD034-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 02:28:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.21/3.31 % SZS status Unsatisfiable for theBenchmark.p
% 10.21/3.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------