%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN600-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n022.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 09:28:05 PM UTC 2025
% Result : Unsatisfiable 0.25s 0.48s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c22_is_p19_2)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
p19(c22),
inference(cnf,[status(esa)],[c22_is_p19_2]) ).
cnf(l0,plain,
p19(c22),
inference(instantiation,[status(thm)],[1]) ).
cnf(28,plain,
( ~ p19(X0)
| ~ p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0)))
| p3(f4(f6(X0)),X1) ),
inference(cnf,[status(esa)],[p3_29]) ).
cnf(l1,plain,
( ~ p19(c22)
| ~ p17(f15(f16(c22)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c22)))
| p3(f4(f6(c22)),f4(f6(c21))) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(21,plain,
( ~ p7(X0,X1)
| ~ p7(X2,X3)
| ~ p17(X0,X2)
| p17(X1,X3) ),
inference(cnf,[status(esa)],[p17_22]) ).
cnf(l2,plain,
( ~ p7(f15(f16(c21)),f15(f16(c22)))
| ~ p7(f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p17(f15(f16(c21)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| p17(f15(f16(c22)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(22,plain,
( ~ p7(X0,X1)
| ~ p7(X2,X3)
| ~ p18(X0,X2)
| p18(X1,X3) ),
inference(cnf,[status(esa)],[p18_23]) ).
cnf(l15,plain,
( ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))
| ~ p7(f15(f16(c21)),f15(f16(c22)))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c21)))
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c22))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(16,plain,
( ~ p7(X0,X1)
| p7(f15(X0),f15(X1)) ),
inference(cnf,[status(esa)],[p7_17]) ).
cnf(l11,plain,
( ~ p7(f16(c21),f16(c22))
| p7(f15(f16(c21)),f15(f16(c22))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(6,plain,
p7(f16(c21),f16(c22)),
inference(cnf,[status(esa)],[p7_7]) ).
cnf(l14,plain,
p7(f16(c21),f16(c22)),
inference(instantiation,[status(thm)],[6]) ).
cnf(3,plain,
p7(X0,X0),
inference(cnf,[status(esa)],[p7_4]) ).
cnf(l16,plain,
p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(27,plain,
( ~ p19(X0)
| p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(cnf,[status(esa)],[p17_28]) ).
cnf(l30,plain,
( ~ p19(c21)
| p17(f15(f16(c21)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l4,plain,
p7(f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))),
inference(instantiation,[status(thm)],[3]) ).
cnf(26,plain,
( ~ p19(X0)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0))) ),
inference(cnf,[status(esa)],[p18_27]) ).
cnf(l17,plain,
( ~ p19(c21)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c21))) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(0,plain,
p19(c21),
inference(cnf,[status(esa)],[c21_is_p19_1]) ).
cnf(l40,plain,
p19(c21),
inference(instantiation,[status(thm)],[0]) ).
cnf(l22,plain,
( ~ p7(f16(c21),f16(c22))
| p7(f15(f16(c21)),f15(f16(c22))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l28,plain,
p7(f16(c21),f16(c22)),
inference(instantiation,[status(thm)],[6]) ).
cnf(20,plain,
( ~ p3(X0,X1)
| ~ p3(X0,X2)
| p3(X1,X2) ),
inference(cnf,[status(esa)],[p3_21]) ).
cnf(l33,plain,
( ~ p3(f4(f6(c22)),f4(f6(c21)))
| ~ p3(f4(f6(c22)),f4(f6(c22)))
| p3(f4(f6(c21)),f4(f6(c22))) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l34,plain,
p19(c21),
inference(instantiation,[status(thm)],[0]) ).
cnf(l35,plain,
( ~ p19(c22)
| ~ p17(f15(f16(c22)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c22)))
| p3(f4(f6(c22)),f4(f6(c22))) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l41,plain,
( ~ p19(c22)
| p17(f15(f16(c22)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l42,plain,
( ~ p19(c22)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c22))) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(7,plain,
~ p3(f4(f6(c21)),f4(f6(c22))),
inference(cnf,[status(esa)],[not_p3_8]) ).
cnf(l37,plain,
~ p3(f4(f6(c21)),f4(f6(c22))),
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l15,l11,l14,l16,l30,l4,l17,l40,l22,l28,l33,l34,l35,l41,l42,l37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : SYN600-1 : TPTP v9.0.0. Released v2.5.0.
% 0.04/0.16 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.39 % Computer : n022.cluster.edu
% 0.17/0.39 % Model : x86_64 x86_64
% 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39 % Memory : 8042.1875MB
% 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39 % CPULimit : 300
% 0.17/0.39 % WCLimit : 300
% 0.17/0.39 % DateTime : Tue Jul 22 17:38:04 EDT 2025
% 0.17/0.39 % CPUTime :
% 0.17/0.40 % launching worker at depth: 1
% 0.17/0.40 % launching worker at depth: 4
% 0.17/0.40 % launching worker at depth: 3
% 0.17/0.40 % launching worker at depth: 2
% 0.17/0.40 % launching worker at depth: 5
% 0.17/0.40 % launching worker at depth: 6
% 0.17/0.40 % launching worker at depth: 7
% 0.17/0.40 % launching worker at depth: 8
% 0.17/0.41 % launching worker at depth: 9
% 0.17/0.41 % launching worker at depth: 10
% 0.17/0.45 % launching worker at depth: 11
% 0.25/0.48 % SZS status Theorem for theBenchmark
% 0.25/0.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------