%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD043-3 : 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 : n019.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 11:55:22 AM UTC 2025
% Result : Unsatisfiable 40.30s 5.46s
% Output : CNFRefutation 40.30s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named product_3)
% Comments :
%------------------------------------------------------------------------------
cnf(28,plain,
product(additive_identity,a,b),
inference(cnf,[status(esa)],[product_3]) ).
cnf(l0,plain,
product(additive_identity,a,b),
inference(instantiation,[status(thm)],[28]) ).
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(l1,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ product(additive_identity,a,b)
| ~ product(additive_identity,a,b)
| ~ product(additive_identity,a,b)
| sum(b,b,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(l4,plain,
( ~ defined(additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(13,plain,
defined(additive_identity),
inference(cnf,[status(esa)],[well_definedness_of_additive_identity]) ).
cnf(l7,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
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(l97,plain,
( ~ sum(additive_inverse(b),b,additive_identity)
| ~ sum(additive_inverse(b),b,additive_identity)
| ~ sum(b,b,b)
| sum(additive_identity,b,additive_identity) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
inference(cnf,[status(esa)],[existence_of_inverse_addition]) ).
cnf(l103,plain,
( ~ defined(b)
| sum(additive_inverse(b),b,additive_identity) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(29,plain,
~ sum(additive_identity,b,additive_identity),
inference(cnf,[status(esa)],[not_sum_4]) ).
cnf(l107,plain,
~ sum(additive_identity,b,additive_identity),
inference(instantiation,[status(thm)],[29]) ).
cnf(27,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l105,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l101,plain,
( ~ defined(b)
| sum(additive_inverse(b),b,additive_identity) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l117,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l7,l97,l103,l107,l105,l101,l117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD043-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 09:43:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.19/0.48 % launching worker at depth: 11
% 40.30/5.46 % SZS status Theorem for theBenchmark
% 40.30/5.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------