%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD027-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n021.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 11:55:19 AM UTC 2025
% Result : Unsatisfiable 70.70s 9.24s
% Output : CNFRefutation 70.70s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named product_5)
% Comments :
%------------------------------------------------------------------------------
cnf(30,plain,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)),
inference(cnf,[status(esa)],[product_5]) ).
cnf(l0,plain,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)),
inference(instantiation,[status(thm)],[30]) ).
cnf(5,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
inference(cnf,[status(esa)],[associativity_multiplication_1]) ).
cnf(l1,plain,
( ~ product(a,multiplicative_identity,a)
| ~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b))
| ~ product(a,multiplicative_inverse(a),multiplicative_identity)
| product(a,multiplicative_inverse(b),multiplicative_identity) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(9,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_multiplication]) ).
cnf(l2,plain,
( ~ product(multiplicative_identity,a,a)
| product(a,multiplicative_identity,a) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l18,plain,
( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| product(a,multiplicative_inverse(a),multiplicative_identity) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l4,plain,
( ~ product(a,multiplicative_inverse(b),multiplicative_identity)
| ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(multiplicative_identity,b,b)
| product(a,multiplicative_identity,b) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(8,plain,
( ~ defined(X0)
| sum(additive_identity,X0,additive_identity)
| product(multiplicative_inverse(X0),X0,multiplicative_identity) ),
inference(cnf,[status(esa)],[existence_of_inverse_multiplication]) ).
cnf(l21,plain,
( ~ defined(b)
| sum(additive_identity,b,additive_identity)
| product(multiplicative_inverse(b),b,multiplicative_identity) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(27,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l22,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(7,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
inference(cnf,[status(esa)],[existence_of_identity_multiplication]) ).
cnf(l6,plain,
( ~ defined(a)
| product(multiplicative_identity,a,a) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l24,plain,
( ~ defined(b)
| product(multiplicative_identity,b,b) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(29,plain,
~ sum(additive_identity,b,additive_identity),
inference(cnf,[status(esa)],[not_sum_4]) ).
cnf(l27,plain,
~ sum(additive_identity,b,additive_identity),
inference(instantiation,[status(thm)],[29]) ).
cnf(l26,plain,
( ~ defined(a)
| sum(additive_identity,a,additive_identity)
| product(multiplicative_inverse(a),a,multiplicative_identity) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(28,plain,
~ sum(additive_identity,a,additive_identity),
inference(cnf,[status(esa)],[not_sum_3]) ).
cnf(l54,plain,
~ sum(additive_identity,a,additive_identity),
inference(instantiation,[status(thm)],[28]) ).
cnf(l17,plain,
( ~ product(a,multiplicative_identity,b)
| product(multiplicative_identity,a,b) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(26,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l56,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(31,plain,
~ product(multiplicative_identity,a,b),
inference(cnf,[status(esa)],[not_product_6]) ).
cnf(l20,plain,
~ product(multiplicative_identity,a,b),
inference(instantiation,[status(thm)],[31]) ).
cnf(l25,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l37,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l18,l4,l21,l22,l6,l24,l27,l26,l54,l17,l56,l20,l25,l37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : FLD027-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 09:38:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.20/0.51 % launching worker at depth: 11
% 70.70/9.24 % SZS status Theorem for theBenchmark
% 70.70/9.24 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------