TSTP Solution File: SCT159+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SCT159+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 21:16:39 EDT 2022
% Result : Theorem 12.16s 3.10s
% Output : CNFRefutation 12.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 27
% Syntax : Number of clauses : 81 ( 41 unt; 9 nHn; 41 RR)
% Number of literals : 135 ( 45 equ; 55 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 2 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 5 con; 0-4 aty)
% Number of variables : 132 ( 42 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_150,plain,
( c_Orderings_Oord__class_Oless__eq(X1,c_Orderings_Obot__class_Obot(X1),X2)
| ~ class_Orderings_Obot(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_150) ).
cnf(i_0_19,plain,
class_Orderings_Obot(tc_Nat_Onat),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_19) ).
cnf(i_0_187,plain,
c_Finite__Set_Ocard(tc_Product__Type_Ounit,c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_187) ).
cnf(i_0_538,plain,
hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_538) ).
cnf(i_0_389,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_389) ).
cnf(i_0_391,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_391) ).
cnf(i_0_96,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X2)) = hAPP(c_Nat_OSuc,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_96) ).
cnf(i_0_255,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ class_Finite__Set_Ofinite(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_255) ).
cnf(i_0_29,plain,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_29) ).
cnf(i_0_455,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_455) ).
cnf(i_0_523,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_523) ).
cnf(i_0_84,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
| ~ class_Groups_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_84) ).
cnf(i_0_14,plain,
class_Groups_Ocomm__monoid__add(tc_Nat_Onat),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_14) ).
cnf(i_0_180,plain,
( X1 = X2
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X3,X1),c_Finite__Set_Ocard(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_180) ).
cnf(i_0_687,plain,
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/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_687) ).
cnf(i_0_750,plain,
hAPP(c_Nat_OSuc,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_750) ).
cnf(i_0_174,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Finite__Set_Ocard(X1,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))) = c_Finite__Set_Ocard(X1,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_member(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_174) ).
cnf(i_0_95,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2) = hAPP(c_Nat_OSuc,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_95) ).
cnf(i_0_599,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_599) ).
cnf(i_0_221,plain,
( c_member(X1,X2,c_fequal(X3))
| X2 != X3 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_221) ).
cnf(i_0_477,plain,
( c_member(X1,X2,X3)
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_477) ).
cnf(i_0_718,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_718) ).
cnf(i_0_31,hypothesis,
( v_thesis____
| c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))) != c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Finite__Set_Ocard(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))))
| ~ c_Fun_Oinj__on(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_31) ).
cnf(i_0_32,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_32) ).
cnf(i_0_339,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| c_member(X1,esk24_4(X4,X3,X2,X1),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_339) ).
cnf(i_0_260,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/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_260) ).
cnf(i_0_222,plain,
( X1 = X2
| ~ c_member(X3,X1,c_fequal(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mifp28i0/lgb.p',i_0_222) ).
cnf(c_0_778,plain,
( c_Orderings_Oord__class_Oless__eq(X1,c_Orderings_Obot__class_Obot(X1),X2)
| ~ class_Orderings_Obot(X1) ),
i_0_150 ).
cnf(c_0_779,plain,
class_Orderings_Obot(tc_Nat_Onat),
i_0_19 ).
cnf(c_0_780,plain,
c_Finite__Set_Ocard(tc_Product__Type_Ounit,c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat),
i_0_187 ).
cnf(c_0_781,plain,
hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat),
i_0_538 ).
cnf(c_0_782,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
i_0_389 ).
cnf(c_0_783,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Orderings_Obot__class_Obot(tc_Nat_Onat),X1),
inference(spm,[status(thm)],[c_0_778,c_0_779]) ).
cnf(c_0_784,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)),
i_0_391 ).
cnf(c_0_785,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,hAPP(c_Nat_OSuc,X2)) = hAPP(c_Nat_OSuc,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
i_0_96 ).
cnf(c_0_786,plain,
c_Finite__Set_Ocard(tc_Product__Type_Ounit,c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool))) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(rw,[status(thm)],[c_0_780,c_0_781]) ).
cnf(c_0_787,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Orderings_Obot__class_Obot(tc_Nat_Onat),
inference(spm,[status(thm)],[c_0_782,c_0_783]) ).
cnf(c_0_788,plain,
( c_Finite__Set_Ofinite(X1,X2)
| ~ class_Finite__Set_Ofinite(X1) ),
i_0_255 ).
cnf(c_0_789,plain,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
i_0_29 ).
cnf(c_0_790,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X3) ),
i_0_455 ).
cnf(c_0_791,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X2),X1) ),
i_0_523 ).
cnf(c_0_792,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),hAPP(c_Nat_OSuc,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))),
inference(spm,[status(thm)],[c_0_784,c_0_785]) ).
cnf(c_0_793,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
| ~ class_Groups_Ocomm__monoid__add(X1) ),
i_0_84 ).
cnf(c_0_794,plain,
class_Groups_Ocomm__monoid__add(tc_Nat_Onat),
i_0_14 ).
cnf(c_0_795,plain,
( X1 = X2
| ~ c_Finite__Set_Ofinite(X3,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(X3,X1),c_Finite__Set_Ocard(X3,X2)) ),
i_0_180 ).
cnf(c_0_796,plain,
c_Finite__Set_Ocard(tc_Product__Type_Ounit,c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool))) = hAPP(c_Nat_OSuc,c_Orderings_Obot__class_Obot(tc_Nat_Onat)),
inference(rw,[status(thm)],[c_0_786,c_0_787]) ).
cnf(c_0_797,plain,
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_687 ).
cnf(c_0_798,plain,
c_Finite__Set_Ofinite(tc_Product__Type_Ounit,X1),
inference(spm,[status(thm)],[c_0_788,c_0_789]) ).
cnf(c_0_799,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,hAPP(c_Nat_OSuc,X2)) ),
inference(spm,[status(thm)],[c_0_790,c_0_791]) ).
cnf(c_0_800,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Orderings_Obot__class_Obot(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_792,c_0_793]),c_0_787]),c_0_794])]) ).
cnf(c_0_801,plain,
hAPP(c_Nat_OSuc,X1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
i_0_750 ).
cnf(c_0_802,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Finite__Set_Ocard(X1,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))) = c_Finite__Set_Ocard(X1,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_member(X1,X3,X2) ),
i_0_174 ).
cnf(c_0_803,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1),X2) = hAPP(c_Nat_OSuc,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
i_0_95 ).
cnf(c_0_804,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = X1,
i_0_599 ).
cnf(c_0_805,plain,
( c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool)) = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Orderings_Obot__class_Obot(tc_Nat_Onat)),c_Finite__Set_Ocard(tc_Product__Type_Ounit,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_795,c_0_796]),c_0_797]),c_0_798])]) ).
cnf(c_0_806,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Orderings_Obot__class_Obot(tc_Nat_Onat)),X1)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(spm,[status(thm)],[c_0_799,c_0_800]) ).
cnf(c_0_807,plain,
hAPP(c_Nat_OSuc,X1) != c_Orderings_Obot__class_Obot(tc_Nat_Onat),
inference(rw,[status(thm)],[c_0_801,c_0_787]) ).
cnf(c_0_808,plain,
( hAPP(c_Nat_OSuc,c_Finite__Set_Ocard(X1,c_Groups_Ominus__class_Ominus(tc_fun(X1,tc_HOL_Obool),X2,c_Set_Oinsert(X1,X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))))) = c_Finite__Set_Ocard(X1,X2)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_member(X1,X3,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_802,c_0_781]),c_0_803]),c_0_804]) ).
cnf(c_0_809,plain,
( c_member(X1,X2,c_fequal(X3))
| X2 != X3 ),
i_0_221 ).
cnf(c_0_810,plain,
( c_member(X1,X2,X3)
| ~ hBOOL(hAPP(X3,X2)) ),
i_0_477 ).
cnf(c_0_811,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)),
i_0_718 ).
cnf(c_0_812,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_Nat_Onat)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Orderings_Obot__class_Obot(tc_Nat_Onat)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_782,c_0_787]),c_0_787]) ).
cnf(c_0_813,plain,
( c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool)) = X1
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(tc_Product__Type_Ounit,X1),X2) ),
inference(spm,[status(thm)],[c_0_805,c_0_806]) ).
cnf(c_0_814,hypothesis,
( v_thesis____
| c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))) != c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Finite__Set_Ocard(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))))
| ~ c_Fun_Oinj__on(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))) ),
i_0_31 ).
cnf(c_0_815,negated_conjecture,
~ v_thesis____,
i_0_32 ).
cnf(c_0_816,plain,
( c_Finite__Set_Ocard(X1,X2) != c_Orderings_Obot__class_Obot(tc_Nat_Onat)
| ~ c_Finite__Set_Ofinite(X1,X2)
| ~ c_member(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_807,c_0_808]) ).
cnf(c_0_817,plain,
c_member(X1,X2,c_fequal(X2)),
inference(er,[status(thm)],[c_0_809]) ).
cnf(c_0_818,plain,
c_member(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))),
inference(spm,[status(thm)],[c_0_810,c_0_811]) ).
cnf(c_0_819,plain,
( c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool)) = X1
| c_Finite__Set_Ocard(tc_Product__Type_Ounit,X1) = c_Orderings_Obot__class_Obot(tc_Nat_Onat) ),
inference(spm,[status(thm)],[c_0_812,c_0_813]) ).
cnf(c_0_820,hypothesis,
( c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))) != c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Finite__Set_Ocard(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))))
| ~ c_Fun_Oinj__on(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))) ),
inference(sr,[status(thm)],[c_0_814,c_0_815]) ).
cnf(c_0_821,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| c_member(X1,esk24_4(X4,X3,X2,X1),X4) ),
i_0_339 ).
cnf(c_0_822,plain,
( c_Finite__Set_Ocard(X1,c_fequal(X2)) != c_Orderings_Obot__class_Obot(tc_Nat_Onat)
| ~ c_Finite__Set_Ofinite(X1,c_fequal(X2)) ),
inference(spm,[status(thm)],[c_0_816,c_0_817]) ).
cnf(c_0_823,plain,
( c_Finite__Set_Ocard(tc_Product__Type_Ounit,X1) = c_Orderings_Obot__class_Obot(tc_Nat_Onat)
| c_member(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_818,c_0_819]) ).
cnf(c_0_824,hypothesis,
( c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))) != c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Orderings_Obot__class_Obot(tc_Nat_Onat),c_Finite__Set_Ocard(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))))
| ~ c_Fun_Oinj__on(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))) ),
inference(rw,[status(thm)],[c_0_820,c_0_787]) ).
cnf(c_0_825,plain,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Finite__Set_Ocard(X1,X4) != c_Orderings_Obot__class_Obot(tc_Nat_Onat)
| ~ c_Finite__Set_Ofinite(X1,X4) ),
inference(spm,[status(thm)],[c_0_816,c_0_821]) ).
cnf(c_0_826,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_260 ).
cnf(c_0_827,plain,
( X1 = X2
| ~ c_member(X3,X1,c_fequal(X2)) ),
i_0_222 ).
cnf(c_0_828,plain,
c_member(X1,X2,c_fequal(X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_822,c_0_823]),c_0_798])]) ).
cnf(c_0_829,plain,
( c_Set_Oimage(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))) != c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Orderings_Obot__class_Obot(tc_Nat_Onat),c_Finite__Set_Ocard(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))))
| c_Finite__Set_Ocard(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))) != c_Orderings_Obot__class_Obot(tc_Nat_Onat) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_824,c_0_825]),c_0_826])]) ).
cnf(c_0_830,plain,
X1 = X2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_827,c_0_828])]) ).
cnf(c_0_831,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_829,c_0_830]),c_0_830]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT159+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n007.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 : Fri Jul 1 20:54:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.48 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 12.16/3.10 # ENIGMATIC: Solved by autoschedule-lgb:
% 12.16/3.10 # No SInE strategy applied
% 12.16/3.10 # Trying AutoSched0 for 150 seconds
% 12.16/3.10 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_S0Y
% 12.16/3.10 # and selection function SelectMaxLComplexAvoidPosPred.
% 12.16/3.10 #
% 12.16/3.10 # Preprocessing time : 0.028 s
% 12.16/3.10
% 12.16/3.10 # Proof found!
% 12.16/3.10 # SZS status Theorem
% 12.16/3.10 # SZS output start CNFRefutation
% See solution above
% 12.16/3.10 # Training examples: 0 positive, 0 negative
% 12.16/3.10
% 12.16/3.10 # -------------------------------------------------
% 12.16/3.10 # User time : 0.665 s
% 12.16/3.10 # System time : 0.020 s
% 12.16/3.10 # Total time : 0.685 s
% 12.16/3.10 # Maximum resident set size: 7132 pages
% 12.16/3.10
%------------------------------------------------------------------------------