%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD018-3 : 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 : 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 11:55:16 AM UTC 2025
% Result : Unsatisfiable 16.13s 2.35s
% Output : CNFRefutation 16.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named sum_2)
% Comments :
%------------------------------------------------------------------------------
cnf(27,plain,
sum(additive_identity,a,additive_identity),
inference(cnf,[status(esa)],[sum_2]) ).
cnf(l0,plain,
sum(additive_identity,a,additive_identity),
inference(instantiation,[status(thm)],[27]) ).
cnf(4,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_addition]) ).
cnf(l1,plain,
( ~ sum(additive_identity,a,additive_identity)
| sum(a,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(0,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
inference(cnf,[status(esa)],[associativity_addition_1]) ).
cnf(l71,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| ~ sum(a,additive_identity,additive_identity)
| ~ sum(additive_identity,additive_identity,additive_identity)
| sum(additive_inverse(a),additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l83,plain,
( ~ sum(additive_inverse(a),additive_identity,additive_identity)
| sum(additive_identity,additive_inverse(a),additive_identity) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
inference(cnf,[status(esa)],[existence_of_inverse_addition]) ).
cnf(l74,plain,
( ~ defined(a)
| sum(additive_inverse(a),a,additive_identity) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(26,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l76,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(28,plain,
~ sum(additive_identity,additive_inverse(a),additive_identity),
inference(cnf,[status(esa)],[not_sum_3]) ).
cnf(l96,plain,
~ sum(additive_identity,additive_inverse(a),additive_identity),
inference(instantiation,[status(thm)],[28]) ).
cnf(2,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
inference(cnf,[status(esa)],[existence_of_identity_addition]) ).
cnf(l85,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(l86,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l71,l83,l74,l76,l96,l85,l86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD018-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.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 09:36:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 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: 9
% 0.12/0.35 % launching worker at depth: 10
% 2.37/0.66 % launching worker at depth: 11
% 16.13/2.35 % SZS status Theorem for theBenchmark
% 16.13/2.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------