%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD023-3 : 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 : n021.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 11:55:18 AM UTC 2025
% Result : Unsatisfiable 11.53s 1.79s
% Output : CNFRefutation 11.53s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named sum_3)
% Comments :
%------------------------------------------------------------------------------
cnf(28,plain,
sum(additive_identity,a,b),
inference(cnf,[status(esa)],[sum_3]) ).
cnf(l0,plain,
sum(additive_identity,a,b),
inference(instantiation,[status(thm)],[28]) ).
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_identity,a,b)
| ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(a,additive_inverse(a),additive_identity)
| sum(b,additive_inverse(a),additive_identity) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(20,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0)
| sum(additive_identity,X0,X1) ),
inference(cnf,[status(esa)],[antisymmetry_of_order_relation]) ).
cnf(l69,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| ~ less_or_equal(additive_identity,additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(22,plain,
( ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X0,X1)
| less_or_equal(X1,X0) ),
inference(cnf,[status(esa)],[totality_of_order_relation]) ).
cnf(l70,plain,
( ~ defined(additive_identity)
| ~ defined(additive_identity)
| less_or_equal(additive_identity,additive_identity)
| less_or_equal(additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(13,plain,
defined(additive_identity),
inference(cnf,[status(esa)],[well_definedness_of_additive_identity]) ).
cnf(l72,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l86,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(4,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_addition]) ).
cnf(l7,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| sum(a,additive_inverse(a),additive_identity) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l71,plain,
( ~ defined(additive_identity)
| ~ defined(additive_identity)
| less_or_equal(additive_identity,additive_identity)
| less_or_equal(additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l79,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(3,plain,
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
inference(cnf,[status(esa)],[existence_of_inverse_addition]) ).
cnf(l9,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(l81,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(29,plain,
~ sum(b,additive_inverse(a),additive_identity),
inference(cnf,[status(esa)],[not_sum_4]) ).
cnf(l2,plain,
~ sum(b,additive_inverse(a),additive_identity),
inference(instantiation,[status(thm)],[29]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l69,l70,l72,l86,l7,l71,l79,l9,l13,l81,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD023-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.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 09:37:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 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: 7
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.19/0.36 % launching worker at depth: 10
% 1.92/0.58 % launching worker at depth: 11
% 11.53/1.79 % SZS status Theorem for theBenchmark
% 11.53/1.79 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------