%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SCT163+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : 600s
% DateTime : Mon Jul 18 21:16:41 EDT 2022
% Result : Theorem 11.43s 2.95s
% Output : CNFRefutation 11.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 43 ( 21 unt; 2 nHn; 24 RR)
% Number of literals : 78 ( 27 equ; 36 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-4 aty)
% Number of variables : 100 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_668,plain,
( X1 = esk37_4(X2,X3,X4,X5)
| X2 != hAPP(X3,X1)
| ~ c_Fun_Oinj__on(X5,X4,X3,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)))
| ~ hBOOL(hAPP(hAPP(c_member(X4),X2),c_Set_Oimage(X5,X4,X3,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s7otd4dl/lgb.p',i_0_668) ).
cnf(i_0_665,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))))
| X2 != hAPP(X4,X5) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s7otd4dl/lgb.p',i_0_665) ).
cnf(i_0_671,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X1,X3)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s7otd4dl/lgb.p',i_0_671) ).
cnf(i_0_699,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s7otd4dl/lgb.p',i_0_699) ).
cnf(i_0_336,plain,
c_Fun_Oinj__on(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,v_h____,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s7otd4dl/lgb.p',i_0_336) ).
cnf(i_0_241,plain,
c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s7otd4dl/lgb.p',i_0_241) ).
cnf(i_0_263,plain,
( c_Set_Oimage(X1,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))
| ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))
| ~ c_Fun_Oinj__on(X1,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s7otd4dl/lgb.p',i_0_263) ).
cnf(i_0_359,plain,
c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s7otd4dl/lgb.p',i_0_359) ).
cnf(i_0_239,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X1,X3,X4,X2)
| ~ c_Finite__Set_Ofinite(X3,c_Set_Oimage(X1,X3,X4,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s7otd4dl/lgb.p',i_0_239) ).
cnf(i_0_348,plain,
( hAPP(X1,esk28_4(X2,X1,X3,X4)) = hAPP(X1,esk29_4(X2,X1,X3,X4))
| c_Fun_Oinj__on(X4,X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s7otd4dl/lgb.p',i_0_348) ).
cnf(i_0_347,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| esk28_4(X4,X3,X2,X1) != esk29_4(X4,X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s7otd4dl/lgb.p',i_0_347) ).
cnf(i_0_669,plain,
( hAPP(X1,esk37_4(X2,X1,X3,X4)) = X2
| ~ c_Fun_Oinj__on(X4,X3,X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool)))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),c_Set_Oimage(X4,X3,X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s7otd4dl/lgb.p',i_0_669) ).
cnf(i_0_743,plain,
hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s7otd4dl/lgb.p',i_0_743) ).
cnf(i_0_767,plain,
hAPP(c_Nat_OSuc,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s7otd4dl/lgb.p',i_0_767) ).
cnf(i_0_517,plain,
c_List_Olist_Olist__size(X1,X2,c_List_Olist_ONil(X1)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s7otd4dl/lgb.p',i_0_517) ).
cnf(c_0_783,plain,
( X1 = esk37_4(X2,X3,X4,X5)
| X2 != hAPP(X3,X1)
| ~ c_Fun_Oinj__on(X5,X4,X3,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)))
| ~ hBOOL(hAPP(hAPP(c_member(X4),X2),c_Set_Oimage(X5,X4,X3,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))))) ),
i_0_668 ).
cnf(c_0_784,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Set_Oimage(X3,X1,X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))))
| X2 != hAPP(X4,X5) ),
i_0_665 ).
cnf(c_0_785,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X1,X3)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),X3)) ),
i_0_671 ).
cnf(c_0_786,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
i_0_699 ).
cnf(c_0_787,plain,
( X1 = esk37_4(X2,X3,X4,X5)
| X2 != hAPP(X3,X1)
| ~ c_Fun_Oinj__on(X5,X4,X3,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool))) ),
inference(csr,[status(thm)],[c_0_783,c_0_784]) ).
cnf(c_0_788,plain,
c_Fun_Oinj__on(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,v_h____,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
i_0_336 ).
cnf(c_0_789,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
inference(spm,[status(thm)],[c_0_785,c_0_786]) ).
cnf(c_0_790,plain,
c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
i_0_241 ).
cnf(c_0_791,plain,
( X1 = esk37_4(X2,v_h____,tc_Nat_Onat,tc_Arrow__Order__Mirabelle_Oindi)
| X2 != hAPP(v_h____,X1) ),
inference(spm,[status(thm)],[c_0_787,c_0_788]) ).
cnf(c_0_792,plain,
( c_Set_Oimage(X1,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))
| ~ c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))
| ~ c_Fun_Oinj__on(X1,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))) ),
i_0_263 ).
cnf(c_0_793,plain,
c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X1),
i_0_359 ).
cnf(c_0_794,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X1,X3,X4,X2)
| ~ c_Finite__Set_Ofinite(X3,c_Set_Oimage(X1,X3,X4,X2)) ),
i_0_239 ).
cnf(c_0_795,plain,
c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,X1),
inference(spm,[status(thm)],[c_0_789,c_0_790]) ).
cnf(c_0_796,plain,
esk37_4(hAPP(v_h____,X1),v_h____,tc_Nat_Onat,tc_Arrow__Order__Mirabelle_Oindi) = X1,
inference(er,[status(thm)],[c_0_791]) ).
cnf(c_0_797,plain,
( hAPP(X1,esk28_4(X2,X1,X3,X4)) = hAPP(X1,esk29_4(X2,X1,X3,X4))
| c_Fun_Oinj__on(X4,X3,X1,X2) ),
i_0_348 ).
cnf(c_0_798,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| esk28_4(X4,X3,X2,X1) != esk29_4(X4,X3,X2,X1) ),
i_0_347 ).
cnf(c_0_799,plain,
( hAPP(X1,esk37_4(X2,X1,X3,X4)) = X2
| ~ c_Fun_Oinj__on(X4,X3,X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool)))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),c_Set_Oimage(X4,X3,X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))) ),
i_0_669 ).
cnf(c_0_800,plain,
( c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
| ~ c_Finite__Set_Ofinite(tc_Nat_Onat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ),
inference(spm,[status(thm)],[c_0_792,c_0_793]) ).
cnf(c_0_801,plain,
hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
i_0_743 ).
cnf(c_0_802,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X1,tc_Arrow__Order__Mirabelle_Oindi,X3,X2) ),
inference(spm,[status(thm)],[c_0_794,c_0_795]) ).
cnf(c_0_803,plain,
c_Fun_Oinj__on(X1,X2,v_h____,X3),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_796,c_0_797]),c_0_796]),c_0_798]) ).
cnf(c_0_804,plain,
( hAPP(c_Nat_OSuc,esk37_4(X1,c_Nat_OSuc,tc_Nat_Onat,tc_Nat_Onat)) = X1
| ~ c_Finite__Set_Ofinite(tc_Nat_Onat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_799,c_0_800]),c_0_801]),c_0_793])]) ).
cnf(c_0_805,plain,
c_Finite__Set_Ofinite(X1,X2),
inference(spm,[status(thm)],[c_0_802,c_0_803]) ).
cnf(c_0_806,plain,
hAPP(c_Nat_OSuc,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
i_0_767 ).
cnf(c_0_807,plain,
hAPP(c_Nat_OSuc,esk37_4(X1,c_Nat_OSuc,tc_Nat_Onat,tc_Nat_Onat)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_804,c_0_805])]) ).
cnf(c_0_808,plain,
c_List_Olist_Olist__size(X1,X2,c_List_Olist_ONil(X1)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
i_0_517 ).
cnf(c_0_809,plain,
X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(spm,[status(thm)],[c_0_806,c_0_807]) ).
cnf(c_0_810,plain,
$false,
inference(sr,[status(thm)],[c_0_808,c_0_809]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SCT163+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sat Jul 2 09:07:19 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.48 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.43/2.95 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.43/2.95 # No SInE strategy applied
% 11.43/2.95 # Trying AutoSched0 for 150 seconds
% 11.43/2.95 # AutoSched0-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_S0Y
% 11.43/2.95 # and selection function SelectMaxLComplexAvoidPosPred.
% 11.43/2.95 #
% 11.43/2.95 # Preprocessing time : 0.292 s
% 11.43/2.95
% 11.43/2.95 # Proof found!
% 11.43/2.95 # SZS status Theorem
% 11.43/2.95 # SZS output start CNFRefutation
% See solution above
% 11.43/2.95 # Training examples: 0 positive, 0 negative
% 11.43/2.95
% 11.43/2.95 # -------------------------------------------------
% 11.43/2.95 # User time : 0.373 s
% 11.43/2.95 # System time : 0.008 s
% 11.43/2.95 # Total time : 0.381 s
% 11.43/2.95 # Maximum resident set size: 7216 pages
% 11.43/2.95
%------------------------------------------------------------------------------