%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : HWC001-1 : TPTP v9.0.0. Bugfixed v1.1.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 06:32:52 PM UTC 2025
% Result : Unsatisfiable 41.27s 5.55s
% Output : CNFRefutation 41.27s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named nand_table_definition)
% Comments :
%------------------------------------------------------------------------------
cnf(5,plain,
( ~ output(X0,X1,X2,X3)
| ~ output(X4,X5,X6,X7)
| output(nand(X0,X4),nand(X1,X5),nand(X2,X6),nand(X3,X7)) ),
inference(cnf,[status(esa)],[nand_table_definition]) ).
cnf(l0,plain,
( ~ output(n1,not(n0),n0,nand(n1,n1))
| ~ output(n1,not(n1),n1,not(n1))
| output(nand(n1,n1),nand(not(n0),not(n1)),nand(n0,n1),nand(nand(n1,n1),not(n1))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(0,plain,
nand(X0,X1) = not(and(X0,X1)),
inference(cnf,[status(esa)],[nand_definition]) ).
cnf(l4,plain,
nand(n1,n1) = not(and(n1,n1)),
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
not(n1) = n0,
inference(cnf,[status(esa)],[not_definition2]) ).
cnf(l35,plain,
not(n1) = n0,
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
not(n0) = n1,
inference(cnf,[status(esa)],[not_definition1]) ).
cnf(l33,plain,
not(n0) = n1,
inference(instantiation,[status(thm)],[3]) ).
cnf(l10,plain,
nand(n0,n1) = not(and(n0,n1)),
inference(instantiation,[status(thm)],[0]) ).
cnf(8,plain,
~ output(n0,n1,n1,n1),
inference(cnf,[status(esa)],[prove_cannot_make_or]) ).
cnf(l34,plain,
~ output(n0,n1,n1,n1),
inference(instantiation,[status(thm)],[8]) ).
cnf(l45,plain,
nand(n1,n1) = not(and(n1,n1)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l199,plain,
not(n0) = n1,
inference(instantiation,[status(thm)],[3]) ).
cnf(l16,plain,
not(n1) = n0,
inference(instantiation,[status(thm)],[4]) ).
cnf(l22,plain,
nand(n1,n0) = not(and(n1,n0)),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
and(X0,n0) = n0,
inference(cnf,[status(esa)],[and_definition1]) ).
cnf(l19,plain,
and(not(and(n1,n1)),n0) = n0,
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
and(X0,n1) = X0,
inference(cnf,[status(esa)],[and_definition2]) ).
cnf(l21,plain,
and(n0,n1) = n0,
inference(instantiation,[status(thm)],[2]) ).
cnf(l26,plain,
not(n0) = n1,
inference(instantiation,[status(thm)],[3]) ).
cnf(l47,plain,
nand(not(and(n1,n1)),n0) = not(and(not(and(n1,n1)),n0)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l117,plain,
and(n0,n0) = n0,
inference(instantiation,[status(thm)],[1]) ).
cnf(l188,plain,
nand(n1,n1) = not(and(n1,n1)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l24,plain,
not(n0) = n1,
inference(instantiation,[status(thm)],[3]) ).
cnf(l71,plain,
and(nand(n1,n1),n1) = nand(n1,n1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l60,plain,
and(n1,n1) = n1,
inference(instantiation,[status(thm)],[2]) ).
cnf(l36,plain,
not(n0) = n1,
inference(instantiation,[status(thm)],[3]) ).
cnf(l179,plain,
not(n0) = n1,
inference(instantiation,[status(thm)],[3]) ).
cnf(l25,plain,
and(n1,n0) = n0,
inference(instantiation,[status(thm)],[1]) ).
cnf(l177,plain,
and(n1,n1) = n1,
inference(instantiation,[status(thm)],[2]) ).
cnf(l186,plain,
( ~ output(n0,n1,n0,n1)
| ~ output(n0,n1,n0,n1)
| output(nand(n0,n0),nand(n1,n1),nand(n0,n0),nand(n1,n1)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l76,plain,
( ~ output(n0,n0,n1,n1)
| ~ output(n0,n0,n1,n1)
| output(nand(n0,n0),nand(n0,n0),nand(n1,n1),nand(n1,n1)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l185,plain,
nand(n0,n0) = not(and(n0,n0)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l74,plain,
nand(n0,n0) = not(and(n0,n0)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l113,plain,
not(n0) = n1,
inference(instantiation,[status(thm)],[3]) ).
cnf(l44,plain,
not(n1) = n0,
inference(instantiation,[status(thm)],[4]) ).
cnf(l187,plain,
nand(n1,n1) = not(and(n1,n1)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l181,plain,
and(n0,n0) = n0,
inference(instantiation,[status(thm)],[1]) ).
cnf(7,plain,
output(n0,n1,n0,n1),
inference(cnf,[status(esa)],[input2]) ).
cnf(l195,plain,
output(n0,n1,n0,n1),
inference(instantiation,[status(thm)],[7]) ).
cnf(l83,plain,
nand(n0,n0) = not(and(n0,n0)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l192,plain,
nand(n0,n0) = not(and(n0,n0)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l90,plain,
and(nand(n1,n1),n1) = nand(n1,n1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l205,plain,
and(n0,n0) = n0,
inference(instantiation,[status(thm)],[1]) ).
cnf(l84,plain,
nand(n1,n1) = not(and(n1,n1)),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
output(n0,n0,n1,n1),
inference(cnf,[status(esa)],[input1]) ).
cnf(l89,plain,
output(n0,n0,n1,n1),
inference(instantiation,[status(thm)],[6]) ).
cnf(l96,plain,
not(n1) = n0,
inference(instantiation,[status(thm)],[4]) ).
cnf(l87,plain,
output(n0,n0,n1,n1),
inference(instantiation,[status(thm)],[6]) ).
cnf(l191,plain,
output(n0,n1,n0,n1),
inference(instantiation,[status(thm)],[7]) ).
cnf(l23,plain,
and(n1,n1) = n1,
inference(instantiation,[status(thm)],[2]) ).
cnf(l102,plain,
and(n1,n1) = n1,
inference(instantiation,[status(thm)],[2]) ).
cnf(l101,plain,
and(n0,n0) = n0,
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l35,l33,l10,l34,l45,l199,l16,l22,l19,l21,l26,l47,l117,l188,l24,l71,l60,l36,l179,l25,l177,l186,l76,l185,l74,l113,l44,l187,l181,l195,l83,l192,l90,l205,l84,l89,l96,l87,l191,l23,l102,l101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWC001-1 : TPTP v9.0.0. Bugfixed v1.1.1.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 17:42:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.19/0.42 % launching worker at depth: 11
% 41.27/5.55 % SZS status Theorem for theBenchmark
% 41.27/5.55 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------