%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD002-3 : 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 : n028.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 11:55:12 AM UTC 2025
% Result : Unsatisfiable 4.42s 0.91s
% Output : CNFRefutation 4.42s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named not_sum_4)
% Comments :
%------------------------------------------------------------------------------
cnf(29,plain,
~ sum(additive_identity,a,b),
inference(cnf,[status(esa)],[not_sum_4]) ).
cnf(l0,plain,
~ sum(additive_identity,a,b),
inference(instantiation,[status(thm)],[29]) ).
cnf(4,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_addition]) ).
cnf(l1,plain,
( ~ sum(a,additive_identity,b)
| sum(additive_identity,a,b) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X1,X5,X3)
| sum(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity_addition_2]) ).
cnf(l2,plain,
( ~ sum(multiply(additive_identity,a),a,a)
| ~ sum(multiply(additive_identity,a),a,b)
| ~ sum(a,additive_identity,a)
| sum(a,additive_identity,b) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l180,plain,
( ~ sum(additive_identity,a,a)
| sum(a,additive_identity,a) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(10,plain,
( ~ sum(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ product(X2,X3,X6)
| sum(X4,X5,X6) ),
inference(cnf,[status(esa)],[distributivity_1]) ).
cnf(l6,plain,
( ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
| ~ product(additive_identity,a,multiply(additive_identity,a))
| ~ product(multiplicative_identity,a,a)
| ~ product(multiplicative_identity,a,a)
| sum(multiply(additive_identity,a),a,a) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l171,plain,
( ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
| ~ product(additive_identity,a,multiply(additive_identity,a))
| ~ product(multiplicative_identity,a,a)
| ~ product(multiplicative_identity,a,b)
| sum(multiply(additive_identity,a),a,b) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(2,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
inference(cnf,[status(esa)],[existence_of_identity_addition]) ).
cnf(l185,plain,
( ~ defined(a)
| sum(additive_identity,a,a) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l186,plain,
( ~ defined(multiplicative_identity)
| sum(additive_identity,multiplicative_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(7,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
inference(cnf,[status(esa)],[existence_of_identity_multiplication]) ).
cnf(l211,plain,
( ~ defined(a)
| product(multiplicative_identity,a,a) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l29,plain,
( ~ defined(multiplicative_identity)
| sum(additive_identity,multiplicative_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(19,plain,
( ~ defined(X0)
| ~ defined(X1)
| product(X0,X1,multiply(X0,X1)) ),
inference(cnf,[status(esa)],[totality_of_multiplication]) ).
cnf(l183,plain,
( ~ defined(additive_identity)
| ~ defined(a)
| product(additive_identity,a,multiply(additive_identity,a)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(16,plain,
defined(multiplicative_identity),
inference(cnf,[status(esa)],[well_definedness_of_multiplicative_identity]) ).
cnf(l197,plain,
defined(multiplicative_identity),
inference(instantiation,[status(thm)],[16]) ).
cnf(l223,plain,
( ~ defined(a)
| product(multiplicative_identity,a,a) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(26,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l212,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(13,plain,
defined(additive_identity),
inference(cnf,[status(esa)],[well_definedness_of_additive_identity]) ).
cnf(l202,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(28,plain,
product(multiplicative_identity,a,b),
inference(cnf,[status(esa)],[product_3]) ).
cnf(l233,plain,
product(multiplicative_identity,a,b),
inference(instantiation,[status(thm)],[28]) ).
cnf(l78,plain,
defined(multiplicative_identity),
inference(instantiation,[status(thm)],[16]) ).
cnf(l13,plain,
( ~ defined(a)
| product(multiplicative_identity,a,a) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l193,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l191,plain,
( ~ defined(additive_identity)
| ~ defined(a)
| product(additive_identity,a,multiply(additive_identity,a)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l224,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l188,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l198,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l203,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l196,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l180,l6,l171,l185,l186,l211,l29,l183,l197,l223,l212,l202,l233,l78,l13,l193,l191,l224,l188,l198,l203,l196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD002-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n028.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 09:31:34 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.20/0.34 % launching worker at depth: 1
% 0.20/0.34 % launching worker at depth: 5
% 0.20/0.34 % launching worker at depth: 3
% 0.20/0.34 % launching worker at depth: 7
% 0.20/0.34 % launching worker at depth: 4
% 0.20/0.34 % launching worker at depth: 6
% 0.20/0.34 % launching worker at depth: 2
% 0.20/0.34 % launching worker at depth: 8
% 0.20/0.34 % launching worker at depth: 9
% 0.20/0.35 % launching worker at depth: 10
% 0.20/0.36 % launching worker at depth: 11
% 4.42/0.91 % SZS status Theorem for theBenchmark
% 4.42/0.91 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------