%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET018-7 : TPTP v9.0.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 : Fri Jul 25 03:31:08 PM UTC 2025
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_ordered_pair_determines_components2_1)
% Comments :
%------------------------------------------------------------------------------
cnf(167,plain,
ordered_pair(w,x) = ordered_pair(y,z),
inference(cnf,[status(esa)],[prove_ordered_pair_determines_components2_1]) ).
cnf(l0,plain,
ordered_pair(w,x) = ordered_pair(y,z),
inference(instantiation,[status(thm)],[167]) ).
cnf(151,plain,
( ~ member(X0,universal_class)
| ordered_pair(X1,X0) != ordered_pair(X2,X3)
| X0 = X3 ),
inference(cnf,[status(esa)],[ordered_pair_determines_components2]) ).
cnf(l1,plain,
( ~ member(x,universal_class)
| ordered_pair(w,x) != ordered_pair(y,z)
| x = z ),
inference(instantiation,[status(thm)],[151]) ).
cnf(169,plain,
x != z,
inference(cnf,[status(esa)],[prove_ordered_pair_determines_components2_3]) ).
cnf(l2,plain,
x != z,
inference(instantiation,[status(thm)],[169]) ).
cnf(168,plain,
member(x,universal_class),
inference(cnf,[status(esa)],[prove_ordered_pair_determines_components2_2]) ).
cnf(l6,plain,
member(x,universal_class),
inference(instantiation,[status(thm)],[168]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET018-7 : TPTP v9.0.0. Bugfixed v7.3.0.
% 0.08/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n029.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 : Mon Jul 21 19:18:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 6
% 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: 5
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------