%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD060-2 : 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 : n026.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 11:55:27 AM UTC 2025
% Result : Unsatisfiable 50.06s 6.61s
% Output : CNFRefutation 50.06s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named add_equals_u_5)
% Comments :
%------------------------------------------------------------------------------
cnf(31,plain,
equalish(add(a,a),u),
inference(cnf,[status(esa)],[add_equals_u_5]) ).
cnf(l0,plain,
equalish(add(a,a),u),
inference(instantiation,[status(thm)],[31]) ).
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(l1,plain,
( ~ equalish(add(a,a),u)
| ~ less_or_equal(add(a,a),add(b,b))
| less_or_equal(u,add(b,b)) ),
inference(instantiation,[status(thm)],[25]) ).
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(a,a),add(b,a))
| ~ less_or_equal(add(b,a),add(b,b))
| less_or_equal(add(a,a),add(b,b)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l11,plain,
( ~ equalish(add(a,b),add(b,a))
| ~ less_or_equal(add(a,b),add(b,b))
| less_or_equal(add(b,a),add(b,b)) ),
inference(instantiation,[status(thm)],[25]) ).
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(l29,plain,
( ~ defined(a)
| ~ less_or_equal(a,b)
| less_or_equal(add(a,a),add(b,a)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l12,plain,
( ~ defined(b)
| ~ less_or_equal(a,b)
| less_or_equal(add(a,b),add(b,b)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l44,plain,
( ~ less_or_equal(u,add(b,b))
| ~ less_or_equal(add(b,b),v)
| less_or_equal(u,v) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(27,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l33,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(33,plain,
less_or_equal(a,b),
inference(cnf,[status(esa)],[less_or_equal_7]) ).
cnf(l19,plain,
less_or_equal(a,b),
inference(instantiation,[status(thm)],[33]) ).
cnf(3,plain,
( ~ defined(X0)
| ~ defined(X1)
| equalish(add(X0,X1),add(X1,X0)) ),
inference(cnf,[status(esa)],[commutativity_addition]) ).
cnf(l13,plain,
( ~ defined(a)
| ~ defined(b)
| equalish(add(a,b),add(b,a)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(28,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l14,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(l20,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(l16,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(34,plain,
~ less_or_equal(u,v),
inference(cnf,[status(esa)],[not_less_or_equal_8]) ).
cnf(l48,plain,
~ less_or_equal(u,v),
inference(instantiation,[status(thm)],[34]) ).
cnf(l30,plain,
less_or_equal(a,b),
inference(instantiation,[status(thm)],[33]) ).
cnf(l46,plain,
( ~ equalish(v,add(b,b))
| ~ less_or_equal(v,v)
| less_or_equal(add(b,b),v) ),
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(l53,plain,
( ~ defined(v)
| ~ defined(v)
| less_or_equal(v,v)
| less_or_equal(v,v) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(30,plain,
defined(v),
inference(cnf,[status(esa)],[v_is_defined]) ).
cnf(l55,plain,
defined(v),
inference(instantiation,[status(thm)],[30]) ).
cnf(l56,plain,
defined(v),
inference(instantiation,[status(thm)],[30]) ).
cnf(21,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf,[status(esa)],[symmetry_of_equality]) ).
cnf(l47,plain,
( ~ equalish(add(b,b),v)
| equalish(v,add(b,b)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(32,plain,
equalish(add(b,b),v),
inference(cnf,[status(esa)],[add_equals_v_6]) ).
cnf(l50,plain,
equalish(add(b,b),v),
inference(instantiation,[status(thm)],[32]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l11,l29,l12,l44,l33,l19,l13,l14,l20,l16,l48,l30,l46,l53,l55,l56,l47,l50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : FLD060-2 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.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 09:56:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.39 % launching worker at depth: 11
% 4.81/0.99 % launching worker at depth: 12
% 50.06/6.61 % SZS status Theorem for theBenchmark
% 50.06/6.61 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------