%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD067-4 : 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 : n032.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 11:55:29 AM UTC 2025
% Result : Unsatisfiable 5.24s 0.93s
% Output : CNFRefutation 5.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named less_or_equal_4)
% Comments :
%------------------------------------------------------------------------------
cnf(29,plain,
less_or_equal(a,b),
inference(cnf,[status(esa)],[less_or_equal_4]) ).
cnf(l0,plain,
less_or_equal(a,b),
inference(instantiation,[status(thm)],[29]) ).
cnf(23,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ less_or_equal(X0,X3)
| less_or_equal(X2,X4) ),
inference(cnf,[status(esa)],[compatibility_of_order_relation_and_addition]) ).
cnf(l1,plain,
( ~ sum(a,additive_inverse(a),additive_identity)
| ~ sum(b,additive_inverse(a),u)
| ~ less_or_equal(a,b)
| less_or_equal(additive_identity,u) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(4,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_addition]) ).
cnf(l39,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| sum(a,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(l42,plain,
( ~ defined(a)
| sum(additive_inverse(a),a,additive_identity) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(30,plain,
sum(b,additive_inverse(a),u),
inference(cnf,[status(esa)],[sum_5]) ).
cnf(l2,plain,
sum(b,additive_inverse(a),u),
inference(instantiation,[status(thm)],[30]) ).
cnf(26,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l52,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(31,plain,
~ less_or_equal(additive_identity,u),
inference(cnf,[status(esa)],[not_less_or_equal_6]) ).
cnf(l63,plain,
~ less_or_equal(additive_identity,u),
inference(instantiation,[status(thm)],[31]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l39,l42,l2,l52,l63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : FLD067-4 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sun Jul 20 09:59:33 EDT 2025
% 0.09/0.28 % CPUTime :
% 0.13/0.28 % launching worker at depth: 2
% 0.13/0.28 % launching worker at depth: 4
% 0.13/0.28 % launching worker at depth: 3
% 0.13/0.28 % launching worker at depth: 1
% 0.13/0.28 % launching worker at depth: 6
% 0.13/0.28 % launching worker at depth: 5
% 0.13/0.28 % launching worker at depth: 7
% 0.13/0.28 % launching worker at depth: 8
% 0.13/0.28 % launching worker at depth: 9
% 0.13/0.29 % launching worker at depth: 10
% 0.13/0.44 % launching worker at depth: 11
% 5.24/0.93 % SZS status Theorem for theBenchmark
% 5.24/0.93 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------