%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SCT166+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 21:16:42 EDT 2022
% Result : Theorem 13.11s 3.17s
% Output : CNFRefutation 13.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 40 ( 20 unt; 2 nHn; 22 RR)
% Number of literals : 71 ( 22 equ; 31 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-4 aty)
% Number of variables : 89 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_748,plain,
( X1 = esk38_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-dv9ouqg3/lgb.p',i_0_748) ).
cnf(i_0_745,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-dv9ouqg3/lgb.p',i_0_745) ).
cnf(i_0_425,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-dv9ouqg3/lgb.p',i_0_425) ).
cnf(i_0_312,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ class_Finite__Set_Ofinite(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dv9ouqg3/lgb.p',i_0_312) ).
cnf(i_0_27,plain,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dv9ouqg3/lgb.p',i_0_27) ).
cnf(i_0_315,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-dv9ouqg3/lgb.p',i_0_315) ).
cnf(i_0_437,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-dv9ouqg3/lgb.p',i_0_437) ).
cnf(i_0_436,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-dv9ouqg3/lgb.p',i_0_436) ).
cnf(i_0_345,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-dv9ouqg3/lgb.p',i_0_345) ).
cnf(i_0_451,plain,
c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dv9ouqg3/lgb.p',i_0_451) ).
cnf(i_0_749,plain,
( hAPP(X1,esk38_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-dv9ouqg3/lgb.p',i_0_749) ).
cnf(i_0_819,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-dv9ouqg3/lgb.p',i_0_819) ).
cnf(i_0_839,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dv9ouqg3/lgb.p',i_0_839) ).
cnf(i_0_652,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dv9ouqg3/lgb.p',i_0_652) ).
cnf(c_0_854,plain,
( X1 = esk38_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_748 ).
cnf(c_0_855,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_745 ).
cnf(c_0_856,plain,
( X1 = esk38_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_854,c_0_855]) ).
cnf(c_0_857,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_425 ).
cnf(c_0_858,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ class_Finite__Set_Ofinite(X1) ),
i_0_312 ).
cnf(c_0_859,plain,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
i_0_27 ).
cnf(c_0_860,plain,
( X1 = esk38_4(X2,v_h____,tc_Nat_Onat,tc_Arrow__Order__Mirabelle_Oindi)
| X2 != hAPP(v_h____,X1) ),
inference(spm,[status(thm)],[c_0_856,c_0_857]) ).
cnf(c_0_861,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_315 ).
cnf(c_0_862,plain,
c_Finite__Set_Ofinite(tc_Product__Type_Ounit,X1),
inference(spm,[status(thm)],[c_0_858,c_0_859]) ).
cnf(c_0_863,plain,
esk38_4(hAPP(v_h____,X1),v_h____,tc_Nat_Onat,tc_Arrow__Order__Mirabelle_Oindi) = X1,
inference(er,[status(thm)],[c_0_860]) ).
cnf(c_0_864,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_437 ).
cnf(c_0_865,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| esk28_4(X4,X3,X2,X1) != esk29_4(X4,X3,X2,X1) ),
i_0_436 ).
cnf(c_0_866,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_345 ).
cnf(c_0_867,plain,
c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,X1),
i_0_451 ).
cnf(c_0_868,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Fun_Oinj__on(X1,tc_Product__Type_Ounit,X3,X2) ),
inference(spm,[status(thm)],[c_0_861,c_0_862]) ).
cnf(c_0_869,plain,
c_Fun_Oinj__on(X1,X2,v_h____,X3),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_863,c_0_864]),c_0_863]),c_0_865]) ).
cnf(c_0_870,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_866,c_0_867]) ).
cnf(c_0_871,plain,
c_Finite__Set_Ofinite(X1,X2),
inference(spm,[status(thm)],[c_0_868,c_0_869]) ).
cnf(c_0_872,plain,
( hAPP(X1,esk38_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_749 ).
cnf(c_0_873,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)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_870,c_0_871])]) ).
cnf(c_0_874,plain,
hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
i_0_819 ).
cnf(c_0_875,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X1))),
i_0_839 ).
cnf(c_0_876,plain,
hAPP(c_Nat_OSuc,esk38_4(X1,c_Nat_OSuc,tc_Nat_Onat,tc_Nat_Onat)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_872,c_0_873]),c_0_874]),c_0_867])]) ).
cnf(c_0_877,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
i_0_652 ).
cnf(c_0_878,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),
inference(spm,[status(thm)],[c_0_875,c_0_876]) ).
cnf(c_0_879,plain,
$false,
inference(spm,[status(thm)],[c_0_877,c_0_878]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SCT166+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 2 02:13:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.18/0.49 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.49 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.49 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 13.11/3.17 # ENIGMATIC: Solved by autoschedule-lgb:
% 13.11/3.17 # No SInE strategy applied
% 13.11/3.17 # Trying AutoSched0 for 150 seconds
% 13.11/3.17 # AutoSched0-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_S0Y
% 13.11/3.17 # and selection function SelectMaxLComplexAvoidPosPred.
% 13.11/3.17 #
% 13.11/3.17 # Preprocessing time : 0.627 s
% 13.11/3.17
% 13.11/3.17 # Proof found!
% 13.11/3.17 # SZS status Theorem
% 13.11/3.17 # SZS output start CNFRefutation
% See solution above
% 13.11/3.17 # Training examples: 0 positive, 0 negative
% 13.11/3.17
% 13.11/3.17 # -------------------------------------------------
% 13.11/3.17 # User time : 0.642 s
% 13.11/3.17 # System time : 0.013 s
% 13.11/3.17 # Total time : 0.655 s
% 13.11/3.17 # Maximum resident set size: 7252 pages
% 13.11/3.17
%------------------------------------------------------------------------------