%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYO614-1 : TPTP v9.0.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n023.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 0.13s 0.37s
% Output : CNFRefutation 0.13s
% 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(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))),max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( ~ le(max(X0,X1),X2)
| le(X1,X2) ),
inference(cnf,[status(esa)],[sos_03]) ).
cnf(l1,plain,
( ~ le(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))),max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))
| le(max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))),max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l2,plain,
( ~ le(max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))),max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))
| le(s(s(X0_19)),max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(4,plain,
( ~ le(s(X0),X1)
| ~ eq(f(X0),a0)
| ~ eq(f(X1),a0) ),
inference(cnf,[status(esa)],[sos_05]) ).
cnf(l3,plain,
( ~ le(s(s(X0_19)),max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))
| ~ eq(f(s(X0_19)),a0)
| ~ eq(f(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))),a0) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
( eq(f(X0),a0)
| eq(f(X0),a1) ),
inference(cnf,[status(esa)],[sos_04]) ).
cnf(l4,plain,
( eq(f(s(X0_19)),a0)
| eq(f(s(X0_19)),a1) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l5,plain,
( eq(f(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))),a0)
| eq(f(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))),a1) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(5,plain,
( ~ le(s(X0),X1)
| ~ eq(f(X0),a1)
| ~ eq(f(X1),a1) ),
inference(cnf,[status(esa)],[sos_06]) ).
cnf(l6,plain,
( ~ le(s(s(X0_19)),max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))
| ~ eq(f(s(X0_19)),a1)
| ~ eq(f(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))),a1) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l7,plain,
( ~ le(s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))),max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10))
| ~ eq(f(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))),a1)
| ~ eq(f(max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10)),a1) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l8,plain,
( eq(f(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))),a0)
| eq(f(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))),a1) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l9,plain,
( ~ le(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10))
| le(s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))),max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ le(max(X0,X1),X2)
| le(X0,X2) ),
inference(cnf,[status(esa)],[sos_02]) ).
cnf(l10,plain,
( ~ le(max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10),max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10))
| le(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l12,plain,
le(max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10),max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l11,plain,
( ~ le(s(X0_19),max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))
| ~ eq(f(X0_19),a0)
| ~ eq(f(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))),a0) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l24,plain,
( eq(f(max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10)),a0)
| eq(f(max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10)),a1) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l15,plain,
( ~ le(max(X0_15,s(X0_19)),max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))
| le(s(X0_19),max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l16,plain,
( ~ le(max(X0_16,max(X0_15,s(X0_19))),max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))
| le(max(X0_15,s(X0_19)),max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l17,plain,
( ~ le(max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))),max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))
| le(max(X0_16,max(X0_15,s(X0_19))),max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l25,plain,
( ~ le(s(s(X0_19)),max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10))
| ~ eq(f(s(X0_19)),a0)
| ~ eq(f(max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10)),a0) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l26,plain,
( ~ le(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10))
| le(s(s(X0_19)),max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l29,plain,
( eq(f(s(X0_19)),a0)
| eq(f(s(X0_19)),a1) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l27,plain,
( ~ le(max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10),max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10))
| le(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l28,plain,
le(max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10),max(max(s(s(X0_19)),s(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))),X1_10)),
inference(instantiation,[status(thm)],[0]) ).
cnf(l18,plain,
( eq(f(X0_19),a0)
| eq(f(X0_19),a1) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l30,plain,
( ~ le(s(s(X0_19)),max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19)))))
| ~ eq(f(s(X0_19)),a1)
| ~ eq(f(max(X0_1,max(max(X0_16,max(X0_15,s(X0_19))),s(s(X0_19))))),a1) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l19,plain,
( ~ le(s(X0_19),s(X0_19))
| ~ eq(f(X0_19),a1)
| ~ eq(f(s(X0_19)),a1) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l20,plain,
le(s(X0_19),s(X0_19)),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l9,l10,l12,l11,l24,l15,l16,l17,l25,l26,l29,l27,l28,l18,l30,l19,l20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO614-1 : TPTP v9.0.0. Released v7.1.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n023.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 : Tue Jul 22 19:57:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 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
% 0.13/0.34 % launching worker at depth: 11
% 0.13/0.35 % launching worker at depth: 12
% 0.13/0.36 % launching worker at depth: 13
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------