%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD013-2 : 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 : n029.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 11:55:15 AM UTC 2025
% Result : Unsatisfiable 4.08s 0.88s
% Output : CNFRefutation 4.08s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named a_equals_b_6)
% Comments :
%------------------------------------------------------------------------------
cnf(32,plain,
equalish(a,b),
inference(cnf,[status(esa)],[a_equals_b_6]) ).
cnf(l0,plain,
equalish(a,b),
inference(instantiation,[status(thm)],[32]) ).
cnf(23,plain,
( ~ defined(X0)
| ~ equalish(X1,X2)
| equalish(add(X1,X0),add(X2,X0)) ),
inference(cnf,[status(esa)],[compatibility_of_equality_and_addition]) ).
cnf(l1,plain,
( ~ defined(c)
| ~ equalish(a,b)
| equalish(add(a,c),add(b,c)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(29,plain,
defined(c),
inference(cnf,[status(esa)],[c_is_defined]) ).
cnf(l73,plain,
defined(c),
inference(instantiation,[status(thm)],[29]) ).
cnf(22,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_equality]) ).
cnf(l4,plain,
( ~ equalish(add(a,c),add(b,c))
| ~ equalish(add(b,c),add(d,b))
| equalish(add(a,c),add(d,b)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l6,plain,
( ~ equalish(add(a,c),add(d,b))
| ~ equalish(add(d,b),u)
| equalish(add(a,c),u) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l12,plain,
( ~ equalish(add(d,b),add(a,c))
| ~ equalish(add(a,c),u)
| equalish(add(d,b),u) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(35,plain,
~ equalish(add(d,b),u),
inference(cnf,[status(esa)],[add_not_equal_to_u_9]) ).
cnf(l18,plain,
~ equalish(add(d,b),u),
inference(instantiation,[status(thm)],[35]) ).
cnf(l67,plain,
( ~ equalish(add(b,c),add(c,b))
| ~ equalish(add(c,b),add(d,b))
| equalish(add(b,c),add(d,b)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l68,plain,
( ~ defined(b)
| ~ equalish(c,d)
| equalish(add(c,b),add(d,b)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(21,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf,[status(esa)],[symmetry_of_equality]) ).
cnf(l17,plain,
( ~ equalish(add(a,c),add(d,b))
| equalish(add(d,b),add(a,c)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(28,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l70,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(l35,plain,
( ~ equalish(add(d,b),add(a,c))
| ~ equalish(add(a,c),u)
| equalish(add(d,b),u) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(3,plain,
( ~ defined(X0)
| ~ defined(X1)
| equalish(add(X0,X1),add(X1,X0)) ),
inference(cnf,[status(esa)],[commutativity_addition]) ).
cnf(l69,plain,
( ~ defined(b)
| ~ defined(c)
| equalish(add(b,c),add(c,b)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(34,plain,
equalish(add(a,c),u),
inference(cnf,[status(esa)],[add_equals_u_8]) ).
cnf(l36,plain,
equalish(add(a,c),u),
inference(instantiation,[status(thm)],[34]) ).
cnf(l71,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(l78,plain,
defined(c),
inference(instantiation,[status(thm)],[29]) ).
cnf(33,plain,
equalish(c,d),
inference(cnf,[status(esa)],[c_equals_d_7]) ).
cnf(l72,plain,
equalish(c,d),
inference(instantiation,[status(thm)],[33]) ).
cnf(l37,plain,
( ~ equalish(add(a,c),add(d,b))
| equalish(add(d,b),add(a,c)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l73,l4,l6,l12,l18,l67,l68,l17,l70,l35,l69,l36,l71,l78,l72,l37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD013-2 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 09:34:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 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: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.37 % launching worker at depth: 11
% 4.08/0.88 % SZS status Theorem for theBenchmark
% 4.08/0.88 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------