%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD029-3 : 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 : n023.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 267.42s 33.91s
% Output : CNFRefutation 267.42s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named not_sum_5)
% Comments :
%------------------------------------------------------------------------------
cnf(30,plain,
~ sum(additive_identity,b,additive_identity),
inference(cnf,[status(esa)],[not_sum_5]) ).
cnf(l0,plain,
~ sum(additive_identity,b,additive_identity),
inference(instantiation,[status(thm)],[30]) ).
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(l1,plain,
( ~ defined(b)
| sum(additive_identity,b,additive_identity)
| product(multiplicative_inverse(b),b,multiplicative_identity) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(6,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity_multiplication_2]) ).
cnf(l7,plain,
( ~ product(multiplicative_inverse(b),u,multiply(multiplicative_inverse(b),u))
| ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(u,a,b)
| product(multiply(multiplicative_inverse(b),u),a,multiplicative_identity) ),
inference(instantiation,[status(thm)],[6]) ).
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(l244,plain,
( ~ product(multiply(multiplicative_inverse(b),u),a,multiplicative_identity)
| ~ product(a,v,b)
| ~ product(multiplicative_identity,v,v)
| product(multiply(multiplicative_inverse(b),u),b,v) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(27,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l2,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(l269,plain,
( ~ defined(v)
| product(multiplicative_identity,v,v) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(19,plain,
( ~ defined(X0)
| ~ defined(X1)
| product(X0,X1,multiply(X0,X1)) ),
inference(cnf,[status(esa)],[totality_of_multiplication]) ).
cnf(l45,plain,
( ~ defined(multiplicative_inverse(b))
| ~ defined(u)
| product(multiplicative_inverse(b),u,multiply(multiplicative_inverse(b),u)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(29,plain,
defined(v),
inference(cnf,[status(esa)],[v_is_defined]) ).
cnf(l270,plain,
defined(v),
inference(instantiation,[status(thm)],[29]) ).
cnf(28,plain,
defined(u),
inference(cnf,[status(esa)],[u_is_defined]) ).
cnf(l70,plain,
defined(u),
inference(instantiation,[status(thm)],[28]) ).
cnf(l275,plain,
( ~ product(multiply(multiplicative_inverse(b),u),a,multiplicative_identity)
| ~ product(multiply(multiplicative_inverse(b),u),b,v)
| ~ product(a,u,b)
| product(multiplicative_identity,u,v) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(33,plain,
~ product(multiplicative_identity,u,v),
inference(cnf,[status(esa)],[not_product_8]) ).
cnf(l276,plain,
~ product(multiplicative_identity,u,v),
inference(instantiation,[status(thm)],[33]) ).
cnf(17,plain,
( ~ defined(X0)
| sum(additive_identity,X0,additive_identity)
| defined(multiplicative_inverse(X0)) ),
inference(cnf,[status(esa)],[well_definedness_of_multiplicative_inverse]) ).
cnf(l94,plain,
( ~ defined(b)
| sum(additive_identity,b,additive_identity)
| defined(multiplicative_inverse(b)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l97,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(9,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_multiplication]) ).
cnf(l26,plain,
( ~ product(a,u,b)
| product(u,a,b) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(31,plain,
product(a,u,b),
inference(cnf,[status(esa)],[product_6]) ).
cnf(l278,plain,
product(a,u,b),
inference(instantiation,[status(thm)],[31]) ).
cnf(l27,plain,
product(a,u,b),
inference(instantiation,[status(thm)],[31]) ).
cnf(32,plain,
product(a,v,b),
inference(cnf,[status(esa)],[product_7]) ).
cnf(l248,plain,
product(a,v,b),
inference(instantiation,[status(thm)],[32]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l244,l2,l269,l45,l270,l70,l275,l276,l94,l97,l26,l278,l27,l248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD029-3 : 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
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sun Jul 20 09:39:04 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 3.62/0.78 % launching worker at depth: 11
% 267.42/33.91 % SZS status Theorem for theBenchmark
% 267.42/33.91 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------