%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD020-3 : 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 : n027.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 11:55:17 AM UTC 2025
% Result : Unsatisfiable 1.94s 0.58s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named not_sum_4)
% Comments :
%------------------------------------------------------------------------------
cnf(29,plain,
~ sum(additive_identity,m,additive_identity),
inference(cnf,[status(esa)],[not_sum_4]) ).
cnf(l0,plain,
~ sum(additive_identity,m,additive_identity),
inference(instantiation,[status(thm)],[29]) ).
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(l1,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| ~ sum(additive_inverse(a),a,additive_identity)
| ~ sum(a,m,a)
| sum(additive_identity,m,additive_identity) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_addition]) ).
cnf(l4,plain,
( ~ sum(m,a,a)
| sum(a,m,a) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(28,plain,
sum(m,a,a),
inference(cnf,[status(esa)],[sum_3]) ).
cnf(l5,plain,
sum(m,a,a),
inference(instantiation,[status(thm)],[28]) ).
cnf(3,plain,
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
inference(cnf,[status(esa)],[existence_of_inverse_addition]) ).
cnf(l8,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(l13,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l17,plain,
( ~ defined(a)
| sum(additive_inverse(a),a,additive_identity) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l22,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l5,l8,l13,l17,l22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : FLD020-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.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 09:36:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 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: 1
% 0.12/0.34 % launching worker at depth: 3
% 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: 2
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 1.94/0.58 % SZS status Theorem for theBenchmark
% 1.94/0.58 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------