%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYO613-1 : TPTP v9.0.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 09:59:05 PM UTC 2025
% Result : Unsatisfiable 0.16s 0.40s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named sos_01)
% Comments :
%------------------------------------------------------------------------------
cnf(0,plain,
le(X0,X0),
inference(cnf,[status(esa)],[sos_01]) ).
cnf(l0,plain,
le(s(s(s(s(X0_5)))),s(s(s(s(X0_5))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
( ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X10)
| ~ le(s(X10),X11)
| ~ eq(f(X0),a0)
| ~ eq(f(X1),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X6),a0)
| ~ eq(f(X7),a0)
| ~ eq(f(X8),a0)
| ~ eq(f(X9),a0)
| ~ eq(f(X10),a0)
| ~ eq(f(X11),a0) ),
inference(cnf,[status(esa)],[sos_05]) ).
cnf(l1,plain,
( ~ le(s(X0_5),s(X0_5))
| ~ le(s(s(X0_5)),s(s(X0_5)))
| ~ le(s(s(s(X0_5))),s(s(s(X0_5))))
| ~ le(s(s(s(s(X0_5)))),s(s(s(s(X0_5)))))
| ~ le(s(s(s(s(s(X0_5))))),s(s(s(s(s(X0_5))))))
| ~ le(s(s(s(s(s(s(X0_5)))))),s(s(s(s(s(s(X0_5)))))))
| ~ le(s(s(s(s(s(s(s(X0_5))))))),s(s(s(s(s(s(s(X0_5))))))))
| ~ le(s(s(s(s(s(s(s(s(X0_5)))))))),s(s(s(s(s(s(s(s(X0_5)))))))))
| ~ le(s(s(s(s(s(s(s(s(s(X0_5))))))))),s(s(s(s(s(s(s(s(s(X0_5))))))))))
| ~ le(s(s(s(s(s(s(s(s(s(s(X0_5)))))))))),s(s(s(s(s(s(s(s(s(s(X0_5)))))))))))
| ~ le(s(s(s(s(s(s(s(s(s(s(s(X0_5))))))))))),s(s(s(s(s(s(s(s(s(s(s(X0_5))))))))))))
| ~ eq(f(X0_5),a0)
| ~ eq(f(s(X0_5)),a0)
| ~ eq(f(s(s(X0_5))),a0)
| ~ eq(f(s(s(s(X0_5)))),a0)
| ~ eq(f(s(s(s(s(X0_5))))),a0)
| ~ eq(f(s(s(s(s(s(X0_5)))))),a0)
| ~ eq(f(s(s(s(s(s(s(X0_5))))))),a0)
| ~ eq(f(s(s(s(s(s(s(s(X0_5)))))))),a0)
| ~ eq(f(s(s(s(s(s(s(s(s(X0_5))))))))),a0)
| ~ eq(f(s(s(s(s(s(s(s(s(s(X0_5)))))))))),a0)
| ~ eq(f(s(s(s(s(s(s(s(s(s(s(X0_5))))))))))),a0)
| ~ eq(f(s(s(s(s(s(s(s(s(s(s(s(X0_5)))))))))))),a0) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
eq(f(X0),a0),
inference(cnf,[status(esa)],[sos_04]) ).
cnf(l2,plain,
eq(f(s(s(s(s(s(s(s(s(X0_5))))))))),a0),
inference(instantiation,[status(thm)],[3]) ).
cnf(l15,plain,
eq(f(s(s(s(s(s(s(X0_5))))))),a0),
inference(instantiation,[status(thm)],[3]) ).
cnf(l10,plain,
le(s(s(s(X0_5))),s(s(s(X0_5)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l12,plain,
eq(f(s(s(s(X0_5)))),a0),
inference(instantiation,[status(thm)],[3]) ).
cnf(l11,plain,
eq(f(s(s(s(s(X0_5))))),a0),
inference(instantiation,[status(thm)],[3]) ).
cnf(l19,plain,
le(s(s(s(s(s(s(X0_5)))))),s(s(s(s(s(s(X0_5))))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
eq(f(s(s(s(s(s(s(s(s(s(X0_5)))))))))),a0),
inference(instantiation,[status(thm)],[3]) ).
cnf(l4,plain,
eq(f(s(s(s(s(s(s(s(s(s(s(s(X0_5)))))))))))),a0),
inference(instantiation,[status(thm)],[3]) ).
cnf(l13,plain,
le(s(s(s(s(s(X0_5))))),s(s(s(s(s(X0_5)))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l14,plain,
le(s(s(s(s(s(s(s(s(s(s(X0_5)))))))))),s(s(s(s(s(s(s(s(s(s(X0_5))))))))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
eq(f(X0_5),a0),
inference(instantiation,[status(thm)],[3]) ).
cnf(l7,plain,
le(s(X0_5),s(X0_5)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l20,plain,
le(s(s(s(s(s(s(s(s(s(s(s(X0_5))))))))))),s(s(s(s(s(s(s(s(s(s(s(X0_5)))))))))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l23,plain,
le(s(s(s(s(s(s(s(s(X0_5)))))))),s(s(s(s(s(s(s(s(X0_5))))))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l18,plain,
eq(f(s(s(X0_5))),a0),
inference(instantiation,[status(thm)],[3]) ).
cnf(l21,plain,
eq(f(s(s(s(s(s(s(s(X0_5)))))))),a0),
inference(instantiation,[status(thm)],[3]) ).
cnf(l22,plain,
le(s(s(X0_5)),s(s(X0_5))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l9,plain,
le(s(s(s(s(s(s(s(s(s(X0_5))))))))),s(s(s(s(s(s(s(s(s(X0_5)))))))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l3,plain,
eq(f(s(s(s(s(s(s(s(s(s(s(X0_5))))))))))),a0),
inference(instantiation,[status(thm)],[3]) ).
cnf(l17,plain,
eq(f(s(s(s(s(s(X0_5)))))),a0),
inference(instantiation,[status(thm)],[3]) ).
cnf(l6,plain,
le(s(s(s(s(s(s(s(X0_5))))))),s(s(s(s(s(s(s(X0_5)))))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l16,plain,
eq(f(s(X0_5)),a0),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l15,l10,l12,l11,l19,l8,l4,l13,l14,l5,l7,l20,l23,l18,l21,l22,l9,l3,l17,l6,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.16 % Problem : SYO613-1 : TPTP v9.0.0. Released v7.1.0.
% 0.09/0.17 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.39 % Computer : n028.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Tue Jul 22 19:57:19 EDT 2025
% 0.16/0.39 % CPUTime :
% 0.16/0.39 % launching worker at depth: 1
% 0.16/0.39 % launching worker at depth: 2
% 0.16/0.39 % launching worker at depth: 6
% 0.16/0.39 % launching worker at depth: 3
% 0.16/0.39 % launching worker at depth: 7
% 0.16/0.39 % launching worker at depth: 4
% 0.16/0.40 % launching worker at depth: 5
% 0.16/0.40 % launching worker at depth: 8
% 0.16/0.40 % SZS status Theorem for theBenchmark
% 0.16/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------