%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN657-1 : TPTP v9.0.0. Released v2.5.0.
% 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 09:28:13 PM UTC 2025
% Result : Unsatisfiable 8.95s 1.56s
% Output : CNFRefutation 9.22s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named p17_1)
% Comments :
%------------------------------------------------------------------------------
cnf(0,plain,
p17(X0,X0),
inference(cnf,[status(esa)],[p17_1]) ).
cnf(l0,plain,
p17(f18(f8(c27,f9(c28,c29))),f18(f8(c27,f9(c28,c29)))),
inference(instantiation,[status(thm)],[0]) ).
cnf(22,plain,
( ~ p17(X0,X1)
| ~ p17(X0,X2)
| p17(X1,X2) ),
inference(cnf,[status(esa)],[p17_23]) ).
cnf(l1,plain,
( ~ p17(f18(f8(c27,f9(c28,c29))),f18(f8(f21(f8(X0_322,f9(c27,X2_322))),f9(c28,f21(f8(X0_25,f9(c29,X2_25)))))))
| ~ p17(f18(f8(c27,f9(c28,c29))),f18(f8(c27,f9(c28,c29))))
| p17(f18(f8(f21(f8(X0_322,f9(c27,X2_322))),f9(c28,f21(f8(X0_25,f9(c29,X2_25)))))),f18(f8(c27,f9(c28,c29)))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(15,plain,
( ~ p2(X0,X1)
| p17(f18(X0),f18(X1)) ),
inference(cnf,[status(esa)],[p17_16]) ).
cnf(l2,plain,
( ~ p2(f8(c27,f9(c28,c29)),f8(f21(f8(X0_322,f9(c27,X2_322))),f9(c28,f21(f8(X0_25,f9(c29,X2_25))))))
| p17(f18(f8(c27,f9(c28,c29))),f18(f8(f21(f8(X0_322,f9(c27,X2_322))),f9(c28,f21(f8(X0_25,f9(c29,X2_25))))))) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(32,plain,
( ~ p17(X0,X1)
| ~ p4(X2,X3)
| ~ p25(X2,X0)
| p25(X3,X1) ),
inference(cnf,[status(esa)],[p25_33]) ).
cnf(l3,plain,
( ~ p17(f18(f8(f21(f8(X0_322,f9(c27,X2_322))),f9(c28,f21(f8(X0_25,f9(c29,X2_25)))))),f18(f8(c27,f9(c28,c29))))
| ~ p4(f22(f8(c27,f9(c28,c29)),c31,c34),f22(f8(c27,f9(c28,c29)),c31,c34))
| ~ p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(f21(f8(X0_322,f9(c27,X2_322))),f9(c28,f21(f8(X0_25,f9(c29,X2_25)))))))
| p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29)))) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(44,plain,
( ~ p25(X0,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c31,c34)),f19(f20(c31,X0))) ),
inference(cnf,[status(esa)],[p24_45]) ).
cnf(l5,plain,
( ~ p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34)))) ),
inference(instantiation,[status(thm)],[44]) ).
cnf(48,plain,
( ~ p24(f19(f20(X0,X1)),f19(f20(X0,f22(X2,X0,X1))))
| p6(f21(X2),f10(c33))
| p4(f5(X2,c36,X0),f5(X2,c36,X1)) ),
inference(cnf,[status(esa)],[p6_49]) ).
cnf(l8,plain,
( ~ p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34))))
| p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)) ),
inference(instantiation,[status(thm)],[48]) ).
cnf(34,plain,
( ~ p7(X0,X1)
| ~ p6(X2,X3)
| p2(f8(X2,X0),f8(X3,X1)) ),
inference(cnf,[status(esa)],[p2_35]) ).
cnf(l7,plain,
( ~ p7(f9(c28,c29),f9(c28,f21(f8(X0_25,f9(c29,X2_25)))))
| ~ p6(c27,f21(f8(X0_322,f9(c27,X2_322))))
| p2(f8(c27,f9(c28,c29)),f8(f21(f8(X0_322,f9(c27,X2_322))),f9(c28,f21(f8(X0_25,f9(c29,X2_25)))))) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(24,plain,
( ~ p6(X0,X1)
| ~ p6(X0,X2)
| p6(X1,X2) ),
inference(cnf,[status(esa)],[p6_25]) ).
cnf(l321,plain,
( ~ p6(f21(f8(X0_322,f9(c27,X2_322))),c27)
| ~ p6(f21(f8(X0_322,f9(c27,X2_322))),f21(f8(X0_322,f9(c27,X2_322))))
| p6(c27,f21(f8(X0_322,f9(c27,X2_322)))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(25,plain,
( ~ p4(X0,X1)
| ~ p4(X0,X2)
| p4(X1,X2) ),
inference(cnf,[status(esa)],[p4_26]) ).
cnf(l12,plain,
( ~ p4(f22(f8(f21(f8(X0_52,f9(c27,X2_52))),f9(c28,c29)),c31,c34),f22(f8(c27,f9(c28,c29)),c31,c34))
| ~ p4(f22(f8(f21(f8(X0_52,f9(c27,X2_52))),f9(c28,c29)),c31,c34),f22(f8(c27,f9(c28,c29)),c31,c34))
| p4(f22(f8(c27,f9(c28,c29)),c31,c34),f22(f8(c27,f9(c28,c29)),c31,c34)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(16,plain,
( ~ p2(X0,X1)
| p6(f21(X0),f21(X1)) ),
inference(cnf,[status(esa)],[p6_17]) ).
cnf(l325,plain,
( ~ p2(f8(X0_322,f9(c27,X2_322)),f8(X0_322,f9(c27,X2_322)))
| p6(f21(f8(X0_322,f9(c27,X2_322))),f21(f8(X0_322,f9(c27,X2_322)))) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(23,plain,
( ~ p7(X0,X1)
| ~ p7(X0,X2)
| p7(X1,X2) ),
inference(cnf,[status(esa)],[p7_24]) ).
cnf(l23,plain,
( ~ p7(f9(c28,f21(f8(X0_25,f9(c29,X2_25)))),f9(c28,c29))
| ~ p7(f9(c28,f21(f8(X0_25,f9(c29,X2_25)))),f9(c28,f21(f8(X0_25,f9(c29,X2_25)))))
| p7(f9(c28,c29),f9(c28,f21(f8(X0_25,f9(c29,X2_25))))) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(35,plain,
( ~ p6(X0,X1)
| ~ p6(X2,X3)
| p7(f9(X0,X2),f9(X1,X3)) ),
inference(cnf,[status(esa)],[p7_36]) ).
cnf(l24,plain,
( ~ p6(c28,c28)
| ~ p6(f21(f8(X0_25,f9(c29,X2_25))),c29)
| p7(f9(c28,f21(f8(X0_25,f9(c29,X2_25)))),f9(c28,c29)) ),
inference(instantiation,[status(thm)],[35]) ).
cnf(2,plain,
p6(X0,X0),
inference(cnf,[status(esa)],[p6_3]) ).
cnf(l113,plain,
p6(c28,c28),
inference(instantiation,[status(thm)],[2]) ).
cnf(l28,plain,
( ~ p6(c28,c28)
| ~ p6(f21(f8(X0_25,f9(c29,X2_25))),f21(f8(X0_25,f9(c29,X2_25))))
| p7(f9(c28,f21(f8(X0_25,f9(c29,X2_25)))),f9(c28,f21(f8(X0_25,f9(c29,X2_25))))) ),
inference(instantiation,[status(thm)],[35]) ).
cnf(46,plain,
( ~ p2(X0,X1)
| ~ p4(X2,X3)
| ~ p4(X4,X5)
| p4(f22(X0,X2,X4),f22(X1,X3,X5)) ),
inference(cnf,[status(esa)],[p4_47]) ).
cnf(l55,plain,
( ~ p2(f8(f21(f8(X0_52,f9(c27,X2_52))),f9(c28,c29)),f8(c27,f9(c28,c29)))
| ~ p4(c31,c31)
| ~ p4(c34,c34)
| p4(f22(f8(f21(f8(X0_52,f9(c27,X2_52))),f9(c28,c29)),c31,c34),f22(f8(c27,f9(c28,c29)),c31,c34)) ),
inference(instantiation,[status(thm)],[46]) ).
cnf(43,plain,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
inference(cnf,[status(esa)],[not_p4_44]) ).
cnf(l66,plain,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
inference(instantiation,[status(thm)],[43]) ).
cnf(3,plain,
p4(X0,X0),
inference(cnf,[status(esa)],[p4_4]) ).
cnf(l58,plain,
p4(c31,c31),
inference(instantiation,[status(thm)],[3]) ).
cnf(l65,plain,
p6(f21(f8(X0_25,f9(c29,X2_25))),f21(f8(X0_25,f9(c29,X2_25)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(14,plain,
p6(f21(f8(X0,f9(X1,X2))),X1),
inference(cnf,[status(esa)],[p6_15]) ).
cnf(l322,plain,
p6(f21(f8(X0_322,f9(c27,X2_322))),c27),
inference(instantiation,[status(thm)],[14]) ).
cnf(l25,plain,
p6(f21(f8(X0_25,f9(c29,X2_25))),c29),
inference(instantiation,[status(thm)],[14]) ).
cnf(l57,plain,
( ~ p7(f9(c28,c29),f9(c28,c29))
| ~ p6(f21(f8(X0_52,f9(c27,X2_52))),c27)
| p2(f8(f21(f8(X0_52,f9(c27,X2_52))),f9(c28,c29)),f8(c27,f9(c28,c29))) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(l68,plain,
p4(c34,c34),
inference(instantiation,[status(thm)],[3]) ).
cnf(5,plain,
p2(X0,X0),
inference(cnf,[status(esa)],[p2_6]) ).
cnf(l327,plain,
p2(f8(X0_322,f9(c27,X2_322)),f8(X0_322,f9(c27,X2_322))),
inference(instantiation,[status(thm)],[5]) ).
cnf(l21,plain,
( ~ p6(f21(f8(c27,f9(c28,c29))),c28)
| ~ p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p6(c28,f10(c33)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(1,plain,
p7(X0,X0),
inference(cnf,[status(esa)],[p7_2]) ).
cnf(l76,plain,
p7(f9(c28,c29),f9(c28,c29)),
inference(instantiation,[status(thm)],[1]) ).
cnf(l15,plain,
( ~ p2(f8(f21(f8(X0_52,f9(c27,X2_52))),f9(c28,c29)),f8(c27,f9(c28,c29)))
| ~ p4(c31,c31)
| ~ p4(c34,c34)
| p4(f22(f8(f21(f8(X0_52,f9(c27,X2_52))),f9(c28,c29)),c31,c34),f22(f8(c27,f9(c28,c29)),c31,c34)) ),
inference(instantiation,[status(thm)],[46]) ).
cnf(l61,plain,
p6(c28,c28),
inference(instantiation,[status(thm)],[2]) ).
cnf(10,plain,
~ p6(c28,f10(c33)),
inference(cnf,[status(esa)],[not_p6_11]) ).
cnf(l105,plain,
~ p6(c28,f10(c33)),
inference(instantiation,[status(thm)],[10]) ).
cnf(l32,plain,
p6(f21(f8(c27,f9(c28,c29))),c28),
inference(instantiation,[status(thm)],[14]) ).
cnf(l17,plain,
p4(c31,c31),
inference(instantiation,[status(thm)],[3]) ).
cnf(l6,plain,
( ~ p17(f18(f8(c27,f9(c28,c29))),f18(f8(f21(f8(X0_322,f9(c27,X2_322))),f9(c28,f21(f8(X0_25,f9(c29,X2_25)))))))
| ~ p4(f22(f8(c27,f9(c28,c29)),c31,c34),f22(f8(c27,f9(c28,c29)),c31,c34))
| ~ p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29))))
| p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(f21(f8(X0_322,f9(c27,X2_322))),f9(c28,f21(f8(X0_25,f9(c29,X2_25))))))) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(l71,plain,
p6(f21(f8(X0_52,f9(c27,X2_52))),c27),
inference(instantiation,[status(thm)],[14]) ).
cnf(l11,plain,
( ~ p2(f8(c27,f9(c28,c29)),f8(c27,f9(c28,c29)))
| ~ p4(c31,c31)
| ~ p4(c34,c34)
| p4(f22(f8(c27,f9(c28,c29)),c31,c34),f22(f8(c27,f9(c28,c29)),c31,c34)) ),
inference(instantiation,[status(thm)],[46]) ).
cnf(l91,plain,
p4(c34,c34),
inference(instantiation,[status(thm)],[3]) ).
cnf(l124,plain,
p4(c34,c34),
inference(instantiation,[status(thm)],[3]) ).
cnf(l27,plain,
( ~ p17(f18(f8(f21(f8(X0_322,f9(c27,X2_322))),f9(c28,f21(f8(X0_25,f9(c29,X2_25)))))),f18(f8(c27,f9(c28,c29))))
| ~ p17(f18(f8(f21(f8(X0_322,f9(c27,X2_322))),f9(c28,f21(f8(X0_25,f9(c29,X2_25)))))),f18(f8(f21(f8(X0_322,f9(c27,X2_322))),f9(c28,f21(f8(X0_25,f9(c29,X2_25)))))))
| p17(f18(f8(c27,f9(c28,c29))),f18(f8(f21(f8(X0_322,f9(c27,X2_322))),f9(c28,f21(f8(X0_25,f9(c29,X2_25))))))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l118,plain,
p17(f18(f8(f21(f8(X0_322,f9(c27,X2_322))),f9(c28,f21(f8(X0_25,f9(c29,X2_25)))))),f18(f8(f21(f8(X0_322,f9(c27,X2_322))),f9(c28,f21(f8(X0_25,f9(c29,X2_25))))))),
inference(instantiation,[status(thm)],[0]) ).
cnf(l36,plain,
( ~ p7(f9(c28,c29),f9(c28,c29))
| ~ p6(f21(f8(X0_52,f9(c27,X2_52))),c27)
| p2(f8(f21(f8(X0_52,f9(c27,X2_52))),f9(c28,c29)),f8(c27,f9(c28,c29))) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(l13,plain,
( ~ p7(f9(c28,c29),f9(c28,c29))
| ~ p6(c27,c27)
| p2(f8(c27,f9(c28,c29)),f8(c27,f9(c28,c29))) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(l114,plain,
p7(f9(c28,c29),f9(c28,c29)),
inference(instantiation,[status(thm)],[1]) ).
cnf(l52,plain,
p6(f21(f8(X0_52,f9(c27,X2_52))),c27),
inference(instantiation,[status(thm)],[14]) ).
cnf(l48,plain,
p7(f9(c28,c29),f9(c28,c29)),
inference(instantiation,[status(thm)],[1]) ).
cnf(47,plain,
( p6(f21(X0),f10(c33))
| p4(f5(X0,c36,X1),f5(X0,c36,X2))
| p25(f22(X0,X1,X2),f18(X0)) ),
inference(cnf,[status(esa)],[p6_48]) ).
cnf(l9,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34))
| p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29)))) ),
inference(instantiation,[status(thm)],[47]) ).
cnf(l83,plain,
p4(c31,c31),
inference(instantiation,[status(thm)],[3]) ).
cnf(l115,plain,
p6(c27,c27),
inference(instantiation,[status(thm)],[2]) ).
cnf(l20,plain,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
inference(instantiation,[status(thm)],[43]) ).
cnf(l47,plain,
( ~ p6(f21(f8(c27,f9(c28,c29))),c28)
| ~ p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p6(c28,f10(c33)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l132,plain,
~ p6(c28,f10(c33)),
inference(instantiation,[status(thm)],[10]) ).
cnf(l213,plain,
p6(f21(f8(c27,f9(c28,c29))),c28),
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l5,l8,l7,l321,l12,l325,l23,l24,l113,l28,l55,l66,l58,l65,l322,l25,l57,l68,l327,l21,l76,l15,l61,l105,l32,l17,l6,l71,l11,l91,l124,l27,l118,l36,l13,l114,l52,l48,l9,l83,l115,l20,l47,l132,l213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SYN657-1 : TPTP v9.0.0. Released v2.5.0.
% 0.04/0.15 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Computer : n028.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Jul 22 17:42:49 EDT 2025
% 0.15/0.37 % CPUTime :
% 0.23/0.38 % launching worker at depth: 2
% 0.23/0.38 % launching worker at depth: 3
% 0.23/0.38 % launching worker at depth: 1
% 0.23/0.38 % launching worker at depth: 8
% 0.23/0.38 % launching worker at depth: 4
% 0.23/0.38 % launching worker at depth: 5
% 0.23/0.38 % launching worker at depth: 6
% 0.23/0.38 % launching worker at depth: 7
% 0.23/0.39 % launching worker at depth: 9
% 0.23/0.41 % launching worker at depth: 10
% 0.23/0.52 % launching worker at depth: 11
% 8.95/1.56 % SZS status Theorem for theBenchmark
% 8.95/1.56 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------