%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD069-1 : 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 : n025.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 3.72s 0.84s
% Output : CNFRefutation 3.72s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named less_or_equal_3)
% Comments :
%------------------------------------------------------------------------------
cnf(29,plain,
less_or_equal(additive_identity,a),
inference(cnf,[status(esa)],[less_or_equal_3]) ).
cnf(l0,plain,
less_or_equal(additive_identity,a),
inference(instantiation,[status(thm)],[29]) ).
cnf(18,plain,
( ~ defined(X0)
| ~ less_or_equal(X1,X2)
| less_or_equal(add(X1,X0),add(X2,X0)) ),
inference(cnf,[status(esa)],[compatibility_of_order_relation_and_addition]) ).
cnf(l1,plain,
( ~ defined(b)
| ~ less_or_equal(additive_identity,a)
| less_or_equal(add(additive_identity,b),add(a,b)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(16,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X2)
| less_or_equal(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_order_relation]) ).
cnf(l2,plain,
( ~ less_or_equal(add(additive_identity,b),add(a,b))
| ~ less_or_equal(add(a,b),additive_identity)
| less_or_equal(add(additive_identity,b),additive_identity) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(25,plain,
( ~ equalish(X0,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X1,X2) ),
inference(cnf,[status(esa)],[compatibility_of_equality_and_order_relation]) ).
cnf(l18,plain,
( ~ equalish(additive_identity,add(a,b))
| ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(add(a,b),additive_identity) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(17,plain,
( ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X0,X1)
| less_or_equal(X1,X0) ),
inference(cnf,[status(esa)],[totality_of_order_relation]) ).
cnf(l22,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)],[17]) ).
cnf(21,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf,[status(esa)],[symmetry_of_equality]) ).
cnf(l20,plain,
( ~ equalish(add(a,b),additive_identity)
| equalish(additive_identity,add(a,b)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(28,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l46,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(10,plain,
defined(additive_identity),
inference(cnf,[status(esa)],[well_definedness_of_additive_identity]) ).
cnf(l23,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[10]) ).
cnf(l26,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[10]) ).
cnf(32,plain,
equalish(add(a,b),additive_identity),
inference(cnf,[status(esa)],[add_equals_additive_identity_6]) ).
cnf(l25,plain,
equalish(add(a,b),additive_identity),
inference(instantiation,[status(thm)],[32]) ).
cnf(l4,plain,
( ~ equalish(add(additive_identity,b),b)
| ~ less_or_equal(add(additive_identity,b),additive_identity)
| less_or_equal(b,additive_identity) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(15,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0)
| equalish(X0,X1) ),
inference(cnf,[status(esa)],[antisymmetry_of_order_relation]) ).
cnf(l5,plain,
( ~ less_or_equal(b,additive_identity)
| ~ less_or_equal(additive_identity,b)
| equalish(b,additive_identity) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(1,plain,
( ~ defined(X0)
| equalish(add(additive_identity,X0),X0) ),
inference(cnf,[status(esa)],[existence_of_identity_addition]) ).
cnf(l13,plain,
( ~ defined(b)
| equalish(add(additive_identity,b),b) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(30,plain,
less_or_equal(additive_identity,b),
inference(cnf,[status(esa)],[less_or_equal_4]) ).
cnf(l12,plain,
less_or_equal(additive_identity,b),
inference(instantiation,[status(thm)],[30]) ).
cnf(l15,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(31,plain,
~ equalish(b,additive_identity),
inference(cnf,[status(esa)],[b_not_equal_to_additive_identity_5]) ).
cnf(l8,plain,
~ equalish(b,additive_identity),
inference(instantiation,[status(thm)],[31]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l18,l22,l20,l46,l23,l26,l25,l4,l5,l13,l12,l15,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD069-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n025.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 10:00:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 6
% 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: 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: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.12/0.37 % launching worker at depth: 11
% 3.12/0.78 % launching worker at depth: 12
% 3.72/0.84 % SZS status Theorem for theBenchmark
% 3.72/0.84 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------