%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD034-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 11:55:21 AM UTC 2025
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named multiply_not_equal_to_a_4)
% Comments :
%------------------------------------------------------------------------------
cnf(30,plain,
~ equalish(multiply(m,a),a),
inference(cnf,[status(esa)],[multiply_not_equal_to_a_4]) ).
cnf(l0,plain,
~ equalish(multiply(m,a),a),
inference(instantiation,[status(thm)],[30]) ).
cnf(22,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_equality]) ).
cnf(l1,plain,
( ~ equalish(multiply(m,a),multiply(multiplicative_identity,a))
| ~ equalish(multiply(multiplicative_identity,a),a)
| equalish(multiply(m,a),a) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(24,plain,
( ~ defined(X0)
| ~ equalish(X1,X2)
| equalish(multiply(X1,X0),multiply(X2,X0)) ),
inference(cnf,[status(esa)],[compatibility_of_equality_and_multiplication]) ).
cnf(l11,plain,
( ~ defined(a)
| ~ equalish(m,multiplicative_identity)
| equalish(multiply(m,a),multiply(multiplicative_identity,a)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(29,plain,
equalish(m,multiplicative_identity),
inference(cnf,[status(esa)],[m_equals_multiplicative_identity_3]) ).
cnf(l13,plain,
equalish(m,multiplicative_identity),
inference(instantiation,[status(thm)],[29]) ).
cnf(27,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l12,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(5,plain,
( ~ defined(X0)
| equalish(multiply(multiplicative_identity,X0),X0) ),
inference(cnf,[status(esa)],[existence_of_identity_multiplication]) ).
cnf(l2,plain,
( ~ defined(a)
| equalish(multiply(multiplicative_identity,a),a) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l3,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l11,l13,l12,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD034-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Jul 20 09:40:04 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % launching worker at depth: 4
% 0.14/0.34 % launching worker at depth: 3
% 0.14/0.34 % launching worker at depth: 7
% 0.14/0.34 % launching worker at depth: 1
% 0.14/0.34 % launching worker at depth: 2
% 0.14/0.34 % launching worker at depth: 5
% 0.14/0.34 % launching worker at depth: 6
% 0.14/0.34 % launching worker at depth: 8
% 0.14/0.34 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------