%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD005-3 : 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 : n031.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 11:55:13 AM UTC 2025
% Result : Unsatisfiable 3.56s 0.81s
% Output : CNFRefutation 3.56s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named not_sum_3)
% Comments :
%------------------------------------------------------------------------------
cnf(28,plain,
~ sum(a,X0,b),
inference(cnf,[status(esa)],[not_sum_3]) ).
cnf(l0,plain,
~ sum(a,add(additive_inverse(a),b),b),
inference(instantiation,[status(thm)],[28]) ).
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(l1,plain,
( ~ sum(a,additive_inverse(a),additive_identity)
| ~ sum(additive_inverse(a),b,add(additive_inverse(a),b))
| ~ sum(additive_identity,b,b)
| sum(a,add(additive_inverse(a),b),b) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(18,plain,
( ~ defined(X0)
| ~ defined(X1)
| sum(X0,X1,add(X0,X1)) ),
inference(cnf,[status(esa)],[totality_of_addition]) ).
cnf(l3,plain,
( ~ defined(additive_inverse(a))
| ~ defined(b)
| sum(additive_inverse(a),b,add(additive_inverse(a),b)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(14,plain,
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
inference(cnf,[status(esa)],[well_definedness_of_additive_inverse]) ).
cnf(l7,plain,
( ~ defined(a)
| defined(additive_inverse(a)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(26,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l21,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(4,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_addition]) ).
cnf(l2,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| sum(a,additive_inverse(a),additive_identity) ),
inference(instantiation,[status(thm)],[4]) ).
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(l12,plain,
( ~ less_or_equal(b,b)
| ~ less_or_equal(b,b)
| sum(additive_identity,b,b) ),
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(l31,plain,
( ~ defined(b)
| ~ defined(b)
| less_or_equal(b,b)
| less_or_equal(b,b) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(27,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l36,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l37,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l18,plain,
( ~ defined(b)
| ~ defined(b)
| less_or_equal(b,b)
| less_or_equal(b,b) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l14,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l55,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l32,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(3,plain,
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
inference(cnf,[status(esa)],[existence_of_inverse_addition]) ).
cnf(l6,plain,
( ~ defined(a)
| sum(additive_inverse(a),a,additive_identity) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l9,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l7,l21,l2,l12,l31,l36,l37,l18,l14,l55,l32,l6,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : FLD005-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.08/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 09:32:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 3.56/0.81 % SZS status Theorem for theBenchmark
% 3.56/0.81 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------