TSTP Solution File: SCT165+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SCT165+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art03.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Mon Mar 7 00:24:45 EST 2011
% Result : Theorem 35.57s
% Output : Solution 35.57s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP13596/SCT165+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 0.70s, total lost is 0.70s
% found
% SZS status THM for /tmp/SystemOnTPTP13596/SCT165+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP13596/SCT165+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 13684
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.92 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.02 WC
% PrfWatch: 9.89 CPU 10.03 WC
% PrfWatch: 11.87 CPU 12.03 WC
% # Preprocessing time : 0.186 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 13.87 CPU 14.04 WC
% PrfWatch: 15.87 CPU 16.04 WC
% PrfWatch: 17.86 CPU 18.05 WC
% # SZS output start CNFRefutation.
% fof(11, axiom,![X9]:![X11]:![X10]:(hBOOL(hAPP(hAPP(c_member(X10),X11),X9))<=>hBOOL(hAPP(X9,X11))),file('/tmp/SRASS.s.p', fact_mem__def)).
% fof(12, axiom,![X12]:~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X12),X12))),file('/tmp/SRASS.s.p', fact_less__irrefl__nat)).
% fof(85, axiom,![X46]:(c_Finite__Set_Ofinite(tc_Nat_Onat,X46)<=>?[X20]:![X40]:(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X40),X46))=>hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X40),X20)))),file('/tmp/SRASS.s.p', fact_finite__nat__set__iff__bounded)).
% fof(173, axiom,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('/tmp/SRASS.s.p', fact_finite__indi)).
% fof(196, axiom,![X9]:![X8]:![X10]:(c_Finite__Set_Ofinite(X10,X8)=>(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,tc_HOL_Obool),X9),X8))=>c_Finite__Set_Ofinite(X10,X9))),file('/tmp/SRASS.s.p', fact_rev__finite__subset)).
% fof(242, axiom,![X9]:![X10]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,tc_HOL_Obool),X9),c_Orderings_Otop__class_Otop(tc_fun(X10,tc_HOL_Obool)))),file('/tmp/SRASS.s.p', fact_subset__UNIV)).
% fof(258, axiom,![X9]:![X36]:![X23]:![X10]:(c_Fun_Oinj__on(X10,X23,X36,X9)<=>![X40]:(hBOOL(hAPP(hAPP(c_member(X10),X40),X9))=>![X43]:(hBOOL(hAPP(hAPP(c_member(X10),X43),X9))=>(hAPP(X36,X40)=hAPP(X36,X43)=>X40=X43)))),file('/tmp/SRASS.s.p', fact_inj__on__def)).
% fof(296, axiom,class_Orderings_Oord(tc_HOL_Obool),file('/tmp/SRASS.s.p', arity_HOL__Obool__Orderings_Oord)).
% fof(346, axiom,![X10]:(c_Finite__Set_Ofinite(tc_Option_Ooption(X10),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X10),tc_HOL_Obool)))<=>c_Finite__Set_Ofinite(X10,c_Orderings_Otop__class_Otop(tc_fun(X10,tc_HOL_Obool)))),file('/tmp/SRASS.s.p', fact_finite__option__UNIV)).
% fof(352, axiom,![X12]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X12)),file('/tmp/SRASS.s.p', fact_le0)).
% fof(403, axiom,![X9]:![X36]:![X23]:![X10]:(c_Finite__Set_Ofinite(X10,c_Set_Oimage(X23,X10,X36,X9))=>(c_Fun_Oinj__on(X23,X10,X36,X9)=>c_Finite__Set_Ofinite(X23,X9))),file('/tmp/SRASS.s.p', fact_finite__imageD)).
% fof(405, axiom,![X70]:![X10]:hAPP(c_COMBI(X10),X70)=X70,file('/tmp/SRASS.s.p', help_c__COMBI__1)).
% fof(409, axiom,![X58]:![X36]:![X10]:![X23]:(class_Orderings_Oord(X23)=>(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,X23),X36),X58))<=>![X40]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X23,hAPP(X36,X40)),hAPP(X58,X40))))),file('/tmp/SRASS.s.p', fact_le__fun__def)).
% fof(539, plain,![X12]:~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X12),X12))),inference(fof_simplification,[status(thm)],[12,theory(equality)])).
% fof(621, plain,![X9]:![X11]:![X10]:((~(hBOOL(hAPP(hAPP(c_member(X10),X11),X9)))|hBOOL(hAPP(X9,X11)))&(~(hBOOL(hAPP(X9,X11)))|hBOOL(hAPP(hAPP(c_member(X10),X11),X9)))),inference(fof_nnf,[status(thm)],[11])).
% fof(622, plain,![X12]:![X13]:![X14]:((~(hBOOL(hAPP(hAPP(c_member(X14),X13),X12)))|hBOOL(hAPP(X12,X13)))&(~(hBOOL(hAPP(X12,X13)))|hBOOL(hAPP(hAPP(c_member(X14),X13),X12)))),inference(variable_rename,[status(thm)],[621])).
% cnf(623,plain,(hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(X3,X2))),inference(split_conjunct,[status(thm)],[622])).
% fof(625, plain,![X13]:~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X13),X13))),inference(variable_rename,[status(thm)],[539])).
% cnf(626,plain,(~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X1))),inference(split_conjunct,[status(thm)],[625])).
% fof(976, plain,![X46]:((~(c_Finite__Set_Ofinite(tc_Nat_Onat,X46))|?[X20]:![X40]:(~(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X40),X46)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X40),X20))))&(![X20]:?[X40]:(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X40),X46))&~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X40),X20))))|c_Finite__Set_Ofinite(tc_Nat_Onat,X46))),inference(fof_nnf,[status(thm)],[85])).
% fof(977, plain,![X47]:((~(c_Finite__Set_Ofinite(tc_Nat_Onat,X47))|?[X48]:![X49]:(~(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X49),X47)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X49),X48))))&(![X50]:?[X51]:(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X51),X47))&~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X51),X50))))|c_Finite__Set_Ofinite(tc_Nat_Onat,X47))),inference(variable_rename,[status(thm)],[976])).
% fof(978, plain,![X47]:((~(c_Finite__Set_Ofinite(tc_Nat_Onat,X47))|![X49]:(~(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X49),X47)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X49),esk19_1(X47)))))&(![X50]:(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk20_2(X47,X50)),X47))&~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk20_2(X47,X50)),X50))))|c_Finite__Set_Ofinite(tc_Nat_Onat,X47))),inference(skolemize,[status(esa)],[977])).
% fof(979, plain,![X47]:![X49]:![X50]:(((hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk20_2(X47,X50)),X47))&~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk20_2(X47,X50)),X50))))|c_Finite__Set_Ofinite(tc_Nat_Onat,X47))&((~(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X49),X47)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X49),esk19_1(X47))))|~(c_Finite__Set_Ofinite(tc_Nat_Onat,X47)))),inference(shift_quantors,[status(thm)],[978])).
% fof(980, plain,![X47]:![X49]:![X50]:(((hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk20_2(X47,X50)),X47))|c_Finite__Set_Ofinite(tc_Nat_Onat,X47))&(~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk20_2(X47,X50)),X50)))|c_Finite__Set_Ofinite(tc_Nat_Onat,X47)))&((~(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X49),X47)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X49),esk19_1(X47))))|~(c_Finite__Set_Ofinite(tc_Nat_Onat,X47)))),inference(distribute,[status(thm)],[979])).
% cnf(981,plain,(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),esk19_1(X1)))|~c_Finite__Set_Ofinite(tc_Nat_Onat,X1)|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X1))),inference(split_conjunct,[status(thm)],[980])).
% cnf(1310,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)))),inference(split_conjunct,[status(thm)],[173])).
% fof(1384, plain,![X9]:![X8]:![X10]:(~(c_Finite__Set_Ofinite(X10,X8))|(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,tc_HOL_Obool),X9),X8)))|c_Finite__Set_Ofinite(X10,X9))),inference(fof_nnf,[status(thm)],[196])).
% fof(1385, plain,![X11]:![X12]:![X13]:(~(c_Finite__Set_Ofinite(X13,X12))|(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X13,tc_HOL_Obool),X11),X12)))|c_Finite__Set_Ofinite(X13,X11))),inference(variable_rename,[status(thm)],[1384])).
% cnf(1386,plain,(c_Finite__Set_Ofinite(X1,X2)|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),X3))|~c_Finite__Set_Ofinite(X1,X3)),inference(split_conjunct,[status(thm)],[1385])).
% fof(1535, plain,![X11]:![X12]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X12,tc_HOL_Obool),X11),c_Orderings_Otop__class_Otop(tc_fun(X12,tc_HOL_Obool)))),inference(variable_rename,[status(thm)],[242])).
% cnf(1536,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))))),inference(split_conjunct,[status(thm)],[1535])).
% fof(1592, plain,![X9]:![X36]:![X23]:![X10]:((~(c_Fun_Oinj__on(X10,X23,X36,X9))|![X40]:(~(hBOOL(hAPP(hAPP(c_member(X10),X40),X9)))|![X43]:(~(hBOOL(hAPP(hAPP(c_member(X10),X43),X9)))|(~(hAPP(X36,X40)=hAPP(X36,X43))|X40=X43))))&(?[X40]:(hBOOL(hAPP(hAPP(c_member(X10),X40),X9))&?[X43]:(hBOOL(hAPP(hAPP(c_member(X10),X43),X9))&(hAPP(X36,X40)=hAPP(X36,X43)&~(X40=X43))))|c_Fun_Oinj__on(X10,X23,X36,X9))),inference(fof_nnf,[status(thm)],[258])).
% fof(1593, plain,![X44]:![X45]:![X46]:![X47]:((~(c_Fun_Oinj__on(X47,X46,X45,X44))|![X48]:(~(hBOOL(hAPP(hAPP(c_member(X47),X48),X44)))|![X49]:(~(hBOOL(hAPP(hAPP(c_member(X47),X49),X44)))|(~(hAPP(X45,X48)=hAPP(X45,X49))|X48=X49))))&(?[X50]:(hBOOL(hAPP(hAPP(c_member(X47),X50),X44))&?[X51]:(hBOOL(hAPP(hAPP(c_member(X47),X51),X44))&(hAPP(X45,X50)=hAPP(X45,X51)&~(X50=X51))))|c_Fun_Oinj__on(X47,X46,X45,X44))),inference(variable_rename,[status(thm)],[1592])).
% fof(1594, plain,![X44]:![X45]:![X46]:![X47]:((~(c_Fun_Oinj__on(X47,X46,X45,X44))|![X48]:(~(hBOOL(hAPP(hAPP(c_member(X47),X48),X44)))|![X49]:(~(hBOOL(hAPP(hAPP(c_member(X47),X49),X44)))|(~(hAPP(X45,X48)=hAPP(X45,X49))|X48=X49))))&((hBOOL(hAPP(hAPP(c_member(X47),esk35_4(X44,X45,X46,X47)),X44))&(hBOOL(hAPP(hAPP(c_member(X47),esk36_4(X44,X45,X46,X47)),X44))&(hAPP(X45,esk35_4(X44,X45,X46,X47))=hAPP(X45,esk36_4(X44,X45,X46,X47))&~(esk35_4(X44,X45,X46,X47)=esk36_4(X44,X45,X46,X47)))))|c_Fun_Oinj__on(X47,X46,X45,X44))),inference(skolemize,[status(esa)],[1593])).
% fof(1595, plain,![X44]:![X45]:![X46]:![X47]:![X48]:![X49]:((((~(hBOOL(hAPP(hAPP(c_member(X47),X49),X44)))|(~(hAPP(X45,X48)=hAPP(X45,X49))|X48=X49))|~(hBOOL(hAPP(hAPP(c_member(X47),X48),X44))))|~(c_Fun_Oinj__on(X47,X46,X45,X44)))&((hBOOL(hAPP(hAPP(c_member(X47),esk35_4(X44,X45,X46,X47)),X44))&(hBOOL(hAPP(hAPP(c_member(X47),esk36_4(X44,X45,X46,X47)),X44))&(hAPP(X45,esk35_4(X44,X45,X46,X47))=hAPP(X45,esk36_4(X44,X45,X46,X47))&~(esk35_4(X44,X45,X46,X47)=esk36_4(X44,X45,X46,X47)))))|c_Fun_Oinj__on(X47,X46,X45,X44))),inference(shift_quantors,[status(thm)],[1594])).
% fof(1596, plain,![X44]:![X45]:![X46]:![X47]:![X48]:![X49]:((((~(hBOOL(hAPP(hAPP(c_member(X47),X49),X44)))|(~(hAPP(X45,X48)=hAPP(X45,X49))|X48=X49))|~(hBOOL(hAPP(hAPP(c_member(X47),X48),X44))))|~(c_Fun_Oinj__on(X47,X46,X45,X44)))&((hBOOL(hAPP(hAPP(c_member(X47),esk35_4(X44,X45,X46,X47)),X44))|c_Fun_Oinj__on(X47,X46,X45,X44))&((hBOOL(hAPP(hAPP(c_member(X47),esk36_4(X44,X45,X46,X47)),X44))|c_Fun_Oinj__on(X47,X46,X45,X44))&((hAPP(X45,esk35_4(X44,X45,X46,X47))=hAPP(X45,esk36_4(X44,X45,X46,X47))|c_Fun_Oinj__on(X47,X46,X45,X44))&(~(esk35_4(X44,X45,X46,X47)=esk36_4(X44,X45,X46,X47))|c_Fun_Oinj__on(X47,X46,X45,X44)))))),inference(distribute,[status(thm)],[1595])).
% cnf(1597,plain,(c_Fun_Oinj__on(X1,X2,X3,X4)|esk35_4(X4,X3,X2,X1)!=esk36_4(X4,X3,X2,X1)),inference(split_conjunct,[status(thm)],[1596])).
% cnf(1598,plain,(c_Fun_Oinj__on(X1,X2,X3,X4)|hAPP(X3,esk35_4(X4,X3,X2,X1))=hAPP(X3,esk36_4(X4,X3,X2,X1))),inference(split_conjunct,[status(thm)],[1596])).
% cnf(1733,plain,(class_Orderings_Oord(tc_HOL_Obool)),inference(split_conjunct,[status(thm)],[296])).
% fof(1872, plain,![X10]:((~(c_Finite__Set_Ofinite(tc_Option_Ooption(X10),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X10),tc_HOL_Obool))))|c_Finite__Set_Ofinite(X10,c_Orderings_Otop__class_Otop(tc_fun(X10,tc_HOL_Obool))))&(~(c_Finite__Set_Ofinite(X10,c_Orderings_Otop__class_Otop(tc_fun(X10,tc_HOL_Obool))))|c_Finite__Set_Ofinite(tc_Option_Ooption(X10),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X10),tc_HOL_Obool))))),inference(fof_nnf,[status(thm)],[346])).
% fof(1873, plain,![X11]:((~(c_Finite__Set_Ofinite(tc_Option_Ooption(X11),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X11),tc_HOL_Obool))))|c_Finite__Set_Ofinite(X11,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_HOL_Obool))))&(~(c_Finite__Set_Ofinite(X11,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_HOL_Obool))))|c_Finite__Set_Ofinite(tc_Option_Ooption(X11),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X11),tc_HOL_Obool))))),inference(variable_rename,[status(thm)],[1872])).
% cnf(1874,plain,(c_Finite__Set_Ofinite(tc_Option_Ooption(X1),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool)))|~c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),inference(split_conjunct,[status(thm)],[1873])).
% fof(1891, plain,![X13]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X13)),inference(variable_rename,[status(thm)],[352])).
% cnf(1892,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))),inference(split_conjunct,[status(thm)],[1891])).
% fof(2057, plain,![X9]:![X36]:![X23]:![X10]:(~(c_Finite__Set_Ofinite(X10,c_Set_Oimage(X23,X10,X36,X9)))|(~(c_Fun_Oinj__on(X23,X10,X36,X9))|c_Finite__Set_Ofinite(X23,X9))),inference(fof_nnf,[status(thm)],[403])).
% fof(2058, plain,![X37]:![X38]:![X39]:![X40]:(~(c_Finite__Set_Ofinite(X40,c_Set_Oimage(X39,X40,X38,X37)))|(~(c_Fun_Oinj__on(X39,X40,X38,X37))|c_Finite__Set_Ofinite(X39,X37))),inference(variable_rename,[status(thm)],[2057])).
% cnf(2059,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))),inference(split_conjunct,[status(thm)],[2058])).
% fof(2062, plain,![X71]:![X72]:hAPP(c_COMBI(X72),X71)=X71,inference(variable_rename,[status(thm)],[405])).
% cnf(2063,plain,(hAPP(c_COMBI(X1),X2)=X2),inference(split_conjunct,[status(thm)],[2062])).
% fof(2072, plain,![X58]:![X36]:![X10]:![X23]:(~(class_Orderings_Oord(X23))|((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,X23),X36),X58)))|![X40]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X23,hAPP(X36,X40)),hAPP(X58,X40))))&(?[X40]:~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X23,hAPP(X36,X40)),hAPP(X58,X40))))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,X23),X36),X58))))),inference(fof_nnf,[status(thm)],[409])).
% fof(2073, plain,![X59]:![X60]:![X61]:![X62]:(~(class_Orderings_Oord(X62))|((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X61,X62),X60),X59)))|![X63]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X62,hAPP(X60,X63)),hAPP(X59,X63))))&(?[X64]:~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X62,hAPP(X60,X64)),hAPP(X59,X64))))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X61,X62),X60),X59))))),inference(variable_rename,[status(thm)],[2072])).
% fof(2074, plain,![X59]:![X60]:![X61]:![X62]:(~(class_Orderings_Oord(X62))|((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X61,X62),X60),X59)))|![X63]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X62,hAPP(X60,X63)),hAPP(X59,X63))))&(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X62,hAPP(X60,esk42_4(X59,X60,X61,X62))),hAPP(X59,esk42_4(X59,X60,X61,X62)))))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X61,X62),X60),X59))))),inference(skolemize,[status(esa)],[2073])).
% fof(2075, plain,![X59]:![X60]:![X61]:![X62]:![X63]:(((hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X62,hAPP(X60,X63)),hAPP(X59,X63)))|~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X61,X62),X60),X59))))&(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X62,hAPP(X60,esk42_4(X59,X60,X61,X62))),hAPP(X59,esk42_4(X59,X60,X61,X62)))))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X61,X62),X60),X59))))|~(class_Orderings_Oord(X62))),inference(shift_quantors,[status(thm)],[2074])).
% fof(2076, plain,![X59]:![X60]:![X61]:![X62]:![X63]:(((hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X62,hAPP(X60,X63)),hAPP(X59,X63)))|~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X61,X62),X60),X59))))|~(class_Orderings_Oord(X62)))&((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X62,hAPP(X60,esk42_4(X59,X60,X61,X62))),hAPP(X59,esk42_4(X59,X60,X61,X62)))))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X61,X62),X60),X59)))|~(class_Orderings_Oord(X62)))),inference(distribute,[status(thm)],[2075])).
% cnf(2077,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3),X4))|~class_Orderings_Oord(X1)|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,esk42_4(X4,X3,X2,X1))),hAPP(X4,esk42_4(X4,X3,X2,X1))))),inference(split_conjunct,[status(thm)],[2076])).
% cnf(2078,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,X5)),hAPP(X4,X5)))|~class_Orderings_Oord(X1)|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3),X4))),inference(split_conjunct,[status(thm)],[2076])).
% cnf(6299,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)],[1386,1536,theory(equality)])).
% cnf(6488,plain,(~c_Finite__Set_Ofinite(tc_Nat_Onat,X1)|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk19_1(X1)),X1))),inference(spm,[status(thm)],[626,981,theory(equality)])).
% cnf(7855,plain,(hAPP(c_COMBI(X1),esk36_4(X2,c_COMBI(X1),X3,X4))=esk35_4(X2,c_COMBI(X1),X3,X4)|c_Fun_Oinj__on(X4,X3,c_COMBI(X1),X2)),inference(spm,[status(thm)],[2063,1598,theory(equality)])).
% cnf(8127,plain,(esk36_4(X2,c_COMBI(X1),X3,X4)=esk35_4(X2,c_COMBI(X1),X3,X4)|c_Fun_Oinj__on(X4,X3,c_COMBI(X1),X2)),inference(rw,[status(thm)],[7855,2063,theory(equality)])).
% cnf(10875,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,hAPP(X1,X2)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)),X2)))|~class_Orderings_Oord(tc_HOL_Obool)),inference(spm,[status(thm)],[2078,1536,theory(equality)])).
% cnf(10885,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,hAPP(X1,X2)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)),X2)))|$false),inference(rw,[status(thm)],[10875,1733,theory(equality)])).
% cnf(10886,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,hAPP(X1,X2)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)),X2)))),inference(cn,[status(thm)],[10885,theory(equality)])).
% cnf(34262,plain,(c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,X1)),inference(spm,[status(thm)],[6299,1310,theory(equality)])).
% cnf(39875,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))))|~class_Orderings_Oord(tc_HOL_Obool)),inference(spm,[status(thm)],[2077,10886,theory(equality)])).
% cnf(39953,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))))|$false),inference(rw,[status(thm)],[39875,1733,theory(equality)])).
% cnf(39954,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))))),inference(cn,[status(thm)],[39953,theory(equality)])).
% cnf(39960,plain,(c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))),inference(spm,[status(thm)],[1386,39954,theory(equality)])).
% cnf(40571,plain,(c_Finite__Set_Ofinite(tc_Option_Ooption(X1),X2)|~c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),inference(spm,[status(thm)],[39960,1874,theory(equality)])).
% cnf(70765,plain,(c_Finite__Set_Ofinite(tc_Option_Ooption(tc_Arrow__Order__Mirabelle_Oindi),X1)),inference(spm,[status(thm)],[40571,34262,theory(equality)])).
% cnf(70771,plain,(c_Finite__Set_Ofinite(tc_Option_Ooption(tc_Option_Ooption(tc_Arrow__Order__Mirabelle_Oindi)),X1)),inference(spm,[status(thm)],[40571,70765,theory(equality)])).
% cnf(70788,plain,(c_Finite__Set_Ofinite(X1,X2)|~c_Fun_Oinj__on(X1,tc_Option_Ooption(tc_Option_Ooption(tc_Arrow__Order__Mirabelle_Oindi)),X3,X2)),inference(spm,[status(thm)],[2059,70771,theory(equality)])).
% cnf(124768,plain,(~c_Finite__Set_Ofinite(tc_Nat_Onat,X1)|~hBOOL(hAPP(X1,esk19_1(X1)))),inference(spm,[status(thm)],[6488,623,theory(equality)])).
% cnf(124834,plain,(~c_Finite__Set_Ofinite(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),inference(spm,[status(thm)],[124768,1892,theory(equality)])).
% cnf(378688,plain,(c_Fun_Oinj__on(X4,X3,c_COMBI(X1),X2)),inference(csr,[status(thm)],[8127,1597])).
% cnf(378689,plain,(c_Finite__Set_Ofinite(X1,X2)),inference(spm,[status(thm)],[70788,378688,theory(equality)])).
% cnf(378948,plain,($false),inference(rw,[status(thm)],[124834,378689,theory(equality)])).
% cnf(378949,plain,($false),inference(cn,[status(thm)],[378948,theory(equality)])).
% cnf(378950,plain,($false),378949,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 15656
% # ...of these trivial : 303
% # ...subsumed : 12175
% # ...remaining for further processing: 3178
% # Other redundant clauses eliminated : 1084
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 59
% # Backward-rewritten : 291
% # Generated clauses : 243101
% # ...of the previous two non-trivial : 220391
% # Contextual simplify-reflections : 2534
% # Paramodulations : 241881
% # Factorizations : 10
% # Equation resolutions : 1209
% # Current number of processed clauses: 2183
% # Positive orientable unit clauses: 410
% # Positive unorientable unit clauses: 42
% # Negative unit clauses : 92
% # Non-unit-clauses : 1639
% # Current number of unprocessed clauses: 191399
% # ...number of literals in the above : 580555
% # Clause-clause subsumption calls (NU) : 461163
% # Rec. Clause-clause subsumption calls : 338433
% # Unit Clause-clause subsumption calls : 13969
% # Rewrite failures with RHS unbound : 471
% # Indexed BW rewrite attempts : 15175
% # Indexed BW rewrite successes : 413
% # Backwards rewriting index: 1470 leaves, 2.91+/-9.293 terms/leaf
% # Paramod-from index: 380 leaves, 2.53+/-8.144 terms/leaf
% # Paramod-into index: 1333 leaves, 2.65+/-7.837 terms/leaf
% # -------------------------------------------------
% # User time : 12.588 s
% # System time : 0.370 s
% # Total time : 12.958 s
% # Maximum resident set size: 0 pages
% PrfWatch: 19.62 CPU 19.87 WC
% FINAL PrfWatch: 19.62 CPU 19.87 WC
% SZS output end Solution for /tmp/SystemOnTPTP13596/SCT165+1.tptp
%
%------------------------------------------------------------------------------