TSTP Solution File: SCT159+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SCT159+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 : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Mon Mar 7 00:31:51 EST 2011
% Result : Theorem 46.34s
% Output : Solution 46.34s
% 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/SystemOnTPTP10439/SCT159+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 0.41s, total lost is 0.41s
% found
% SZS status THM for /tmp/SystemOnTPTP10439/SCT159+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP10439/SCT159+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 10553
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.95 CPU 2.01 WC
% PrfWatch: 3.94 CPU 4.02 WC
% PrfWatch: 5.94 CPU 6.03 WC
% PrfWatch: 7.92 CPU 8.03 WC
% PrfWatch: 9.92 CPU 10.04 WC
% PrfWatch: 11.91 CPU 12.05 WC
% PrfWatch: 13.91 CPU 14.05 WC
% PrfWatch: 15.89 CPU 16.06 WC
% PrfWatch: 17.89 CPU 18.07 WC
% PrfWatch: 19.88 CPU 20.07 WC
% # Preprocessing time : 0.088 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 21.85 CPU 22.08 WC
% PrfWatch: 23.84 CPU 24.08 WC
% PrfWatch: 25.84 CPU 26.09 WC
% PrfWatch: 27.82 CPU 28.10 WC
% PrfWatch: 29.66 CPU 30.10 WC
% PrfWatch: 31.51 CPU 32.11 WC
% # SZS output start CNFRefutation.
% fof(19, axiom,![X1]:![X4]:c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))),file('/tmp/SRASS.s.p', fact_subset__UNIV)).
% fof(22, axiom,![X1]:![X4]:(~(c_Finite__Set_Ofinite(X4,X1))=>c_Finite__Set_Ocard(X4,X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),file('/tmp/SRASS.s.p', fact_card__infinite)).
% fof(58, axiom,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('/tmp/SRASS.s.p', fact_card__UNIV__unit)).
% fof(62, axiom,![X1]:![X2]:![X3]:![X4]:(c_Finite__Set_Ofinite(X4,c_Set_Oimage(X3,X4,X2,X1))=>(c_Fun_Oinj__on(X3,X4,X2,X1)=>c_Finite__Set_Ofinite(X3,X1))),file('/tmp/SRASS.s.p', fact_finite__imageD)).
% fof(98, axiom,![X8]:![X4]:hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool)),X8)),file('/tmp/SRASS.s.p', fact_top1I)).
% fof(134, axiom,![X1]:![X2]:![X3]:![X4]:(c_Fun_Oinj__on(X4,X3,X2,X1)<=>![X15]:(c_member(X4,X15,X1)=>![X41]:(c_member(X4,X41,X1)=>(hAPP(X2,X15)=hAPP(X2,X41)=>X15=X41)))),file('/tmp/SRASS.s.p', fact_inj__on__def)).
% fof(159, axiom,![X47]:![X48]:(hAPP(c_Nat_OSuc,X48)=hAPP(c_Nat_OSuc,X47)<=>X48=X47),file('/tmp/SRASS.s.p', fact_nat_Oinject)).
% fof(197, axiom,class_Orderings_Oord(tc_HOL_Obool),file('/tmp/SRASS.s.p', arity_HOL__Obool__Orderings_Oord)).
% fof(226, axiom,![X4]:(class_Rings_Ozero__neq__one(X4)=>~(c_Groups_Oone__class_Oone(X4)=c_Groups_Ozero__class_Ozero(X4))),file('/tmp/SRASS.s.p', fact_one__neq__zero)).
% fof(232, axiom,class_Orderings_Olinorder(tc_Nat_Onat),file('/tmp/SRASS.s.p', arity_Nat__Onat__Orderings_Olinorder)).
% fof(234, axiom,![X5]:![X1]:![X4]:(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X1,X5)=>(c_Finite__Set_Ofinite(X4,X5)=>c_Finite__Set_Ofinite(X4,X1))),file('/tmp/SRASS.s.p', fact_finite__subset)).
% fof(257, axiom,class_Rings_Ozero__neq__one(tc_Nat_Onat),file('/tmp/SRASS.s.p', arity_Nat__Onat__Rings_Ozero__neq__one)).
% fof(291, axiom,![X26]:(c_Finite__Set_Ofinite(tc_Nat_Onat,X26)<=>?[X52]:![X15]:(c_member(tc_Nat_Onat,X15,X26)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X15,X52))),file('/tmp/SRASS.s.p', fact_finite__nat__set__iff__bounded)).
% fof(374, axiom,![X1]:![X8]:![X4]:(c_member(X4,X8,X1)<=>hBOOL(hAPP(X1,X8))),file('/tmp/SRASS.s.p', fact_mem__def)).
% fof(430, axiom,![X7]:![X8]:![X4]:(class_Orderings_Olinorder(X4)=>(~(X8=X7)<=>(c_Orderings_Oord__class_Oless(X4,X8,X7)|c_Orderings_Oord__class_Oless(X4,X7,X8)))),file('/tmp/SRASS.s.p', fact_linorder__neq__iff)).
% fof(514, axiom,![X11]:![X2]:![X4]:![X3]:(class_Orderings_Oord(X3)=>(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X3),X2,X11)<=>![X15]:c_Orderings_Oord__class_Oless__eq(X3,hAPP(X2,X15),hAPP(X11,X15)))),file('/tmp/SRASS.s.p', fact_le__fun__def)).
% fof(537, plain,![X1]:![X4]:(~(c_Finite__Set_Ofinite(X4,X1))=>c_Finite__Set_Ocard(X4,X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),inference(fof_simplification,[status(thm)],[22,theory(equality)])).
% fof(673, plain,![X5]:![X6]:c_Orderings_Oord__class_Oless__eq(tc_fun(X6,tc_HOL_Obool),X5,c_Orderings_Otop__class_Otop(tc_fun(X6,tc_HOL_Obool))),inference(variable_rename,[status(thm)],[19])).
% cnf(674,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)))),inference(split_conjunct,[status(thm)],[673])).
% fof(679, plain,![X1]:![X4]:(c_Finite__Set_Ofinite(X4,X1)|c_Finite__Set_Ocard(X4,X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),inference(fof_nnf,[status(thm)],[537])).
% fof(680, plain,![X5]:![X6]:(c_Finite__Set_Ofinite(X6,X5)|c_Finite__Set_Ocard(X6,X5)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),inference(variable_rename,[status(thm)],[679])).
% cnf(681,plain,(c_Finite__Set_Ocard(X1,X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Finite__Set_Ofinite(X1,X2)),inference(split_conjunct,[status(thm)],[680])).
% cnf(811,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)),inference(split_conjunct,[status(thm)],[58])).
% fof(820, plain,![X1]:![X2]:![X3]:![X4]:(~(c_Finite__Set_Ofinite(X4,c_Set_Oimage(X3,X4,X2,X1)))|(~(c_Fun_Oinj__on(X3,X4,X2,X1))|c_Finite__Set_Ofinite(X3,X1))),inference(fof_nnf,[status(thm)],[62])).
% fof(821, plain,![X5]:![X6]:![X7]:![X8]:(~(c_Finite__Set_Ofinite(X8,c_Set_Oimage(X7,X8,X6,X5)))|(~(c_Fun_Oinj__on(X7,X8,X6,X5))|c_Finite__Set_Ofinite(X7,X5))),inference(variable_rename,[status(thm)],[820])).
% cnf(822,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)],[821])).
% fof(919, plain,![X9]:![X10]:hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X10,tc_HOL_Obool)),X9)),inference(variable_rename,[status(thm)],[98])).
% cnf(920,plain,(hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2))),inference(split_conjunct,[status(thm)],[919])).
% fof(1057, plain,![X1]:![X2]:![X3]:![X4]:((~(c_Fun_Oinj__on(X4,X3,X2,X1))|![X15]:(~(c_member(X4,X15,X1))|![X41]:(~(c_member(X4,X41,X1))|(~(hAPP(X2,X15)=hAPP(X2,X41))|X15=X41))))&(?[X15]:(c_member(X4,X15,X1)&?[X41]:(c_member(X4,X41,X1)&(hAPP(X2,X15)=hAPP(X2,X41)&~(X15=X41))))|c_Fun_Oinj__on(X4,X3,X2,X1))),inference(fof_nnf,[status(thm)],[134])).
% fof(1058, plain,![X42]:![X43]:![X44]:![X45]:((~(c_Fun_Oinj__on(X45,X44,X43,X42))|![X46]:(~(c_member(X45,X46,X42))|![X47]:(~(c_member(X45,X47,X42))|(~(hAPP(X43,X46)=hAPP(X43,X47))|X46=X47))))&(?[X48]:(c_member(X45,X48,X42)&?[X49]:(c_member(X45,X49,X42)&(hAPP(X43,X48)=hAPP(X43,X49)&~(X48=X49))))|c_Fun_Oinj__on(X45,X44,X43,X42))),inference(variable_rename,[status(thm)],[1057])).
% fof(1059, plain,![X42]:![X43]:![X44]:![X45]:((~(c_Fun_Oinj__on(X45,X44,X43,X42))|![X46]:(~(c_member(X45,X46,X42))|![X47]:(~(c_member(X45,X47,X42))|(~(hAPP(X43,X46)=hAPP(X43,X47))|X46=X47))))&((c_member(X45,esk13_4(X42,X43,X44,X45),X42)&(c_member(X45,esk14_4(X42,X43,X44,X45),X42)&(hAPP(X43,esk13_4(X42,X43,X44,X45))=hAPP(X43,esk14_4(X42,X43,X44,X45))&~(esk13_4(X42,X43,X44,X45)=esk14_4(X42,X43,X44,X45)))))|c_Fun_Oinj__on(X45,X44,X43,X42))),inference(skolemize,[status(esa)],[1058])).
% fof(1060, plain,![X42]:![X43]:![X44]:![X45]:![X46]:![X47]:((((~(c_member(X45,X47,X42))|(~(hAPP(X43,X46)=hAPP(X43,X47))|X46=X47))|~(c_member(X45,X46,X42)))|~(c_Fun_Oinj__on(X45,X44,X43,X42)))&((c_member(X45,esk13_4(X42,X43,X44,X45),X42)&(c_member(X45,esk14_4(X42,X43,X44,X45),X42)&(hAPP(X43,esk13_4(X42,X43,X44,X45))=hAPP(X43,esk14_4(X42,X43,X44,X45))&~(esk13_4(X42,X43,X44,X45)=esk14_4(X42,X43,X44,X45)))))|c_Fun_Oinj__on(X45,X44,X43,X42))),inference(shift_quantors,[status(thm)],[1059])).
% fof(1061, plain,![X42]:![X43]:![X44]:![X45]:![X46]:![X47]:((((~(c_member(X45,X47,X42))|(~(hAPP(X43,X46)=hAPP(X43,X47))|X46=X47))|~(c_member(X45,X46,X42)))|~(c_Fun_Oinj__on(X45,X44,X43,X42)))&((c_member(X45,esk13_4(X42,X43,X44,X45),X42)|c_Fun_Oinj__on(X45,X44,X43,X42))&((c_member(X45,esk14_4(X42,X43,X44,X45),X42)|c_Fun_Oinj__on(X45,X44,X43,X42))&((hAPP(X43,esk13_4(X42,X43,X44,X45))=hAPP(X43,esk14_4(X42,X43,X44,X45))|c_Fun_Oinj__on(X45,X44,X43,X42))&(~(esk13_4(X42,X43,X44,X45)=esk14_4(X42,X43,X44,X45))|c_Fun_Oinj__on(X45,X44,X43,X42)))))),inference(distribute,[status(thm)],[1060])).
% cnf(1062,plain,(c_Fun_Oinj__on(X1,X2,X3,X4)|esk13_4(X4,X3,X2,X1)!=esk14_4(X4,X3,X2,X1)),inference(split_conjunct,[status(thm)],[1061])).
% cnf(1063,plain,(c_Fun_Oinj__on(X1,X2,X3,X4)|hAPP(X3,esk13_4(X4,X3,X2,X1))=hAPP(X3,esk14_4(X4,X3,X2,X1))),inference(split_conjunct,[status(thm)],[1061])).
% fof(1148, plain,![X47]:![X48]:((~(hAPP(c_Nat_OSuc,X48)=hAPP(c_Nat_OSuc,X47))|X48=X47)&(~(X48=X47)|hAPP(c_Nat_OSuc,X48)=hAPP(c_Nat_OSuc,X47))),inference(fof_nnf,[status(thm)],[159])).
% fof(1149, plain,![X49]:![X50]:((~(hAPP(c_Nat_OSuc,X50)=hAPP(c_Nat_OSuc,X49))|X50=X49)&(~(X50=X49)|hAPP(c_Nat_OSuc,X50)=hAPP(c_Nat_OSuc,X49))),inference(variable_rename,[status(thm)],[1148])).
% cnf(1151,plain,(X1=X2|hAPP(c_Nat_OSuc,X1)!=hAPP(c_Nat_OSuc,X2)),inference(split_conjunct,[status(thm)],[1149])).
% cnf(1277,plain,(class_Orderings_Oord(tc_HOL_Obool)),inference(split_conjunct,[status(thm)],[197])).
% fof(1388, plain,![X4]:(~(class_Rings_Ozero__neq__one(X4))|~(c_Groups_Oone__class_Oone(X4)=c_Groups_Ozero__class_Ozero(X4))),inference(fof_nnf,[status(thm)],[226])).
% fof(1389, plain,![X5]:(~(class_Rings_Ozero__neq__one(X5))|~(c_Groups_Oone__class_Oone(X5)=c_Groups_Ozero__class_Ozero(X5))),inference(variable_rename,[status(thm)],[1388])).
% cnf(1390,plain,(c_Groups_Oone__class_Oone(X1)!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ozero__neq__one(X1)),inference(split_conjunct,[status(thm)],[1389])).
% cnf(1400,plain,(class_Orderings_Olinorder(tc_Nat_Onat)),inference(split_conjunct,[status(thm)],[232])).
% fof(1402, plain,![X5]:![X1]:![X4]:(~(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,tc_HOL_Obool),X1,X5))|(~(c_Finite__Set_Ofinite(X4,X5))|c_Finite__Set_Ofinite(X4,X1))),inference(fof_nnf,[status(thm)],[234])).
% fof(1403, plain,![X6]:![X7]:![X8]:(~(c_Orderings_Oord__class_Oless__eq(tc_fun(X8,tc_HOL_Obool),X7,X6))|(~(c_Finite__Set_Ofinite(X8,X6))|c_Finite__Set_Ofinite(X8,X7))),inference(variable_rename,[status(thm)],[1402])).
% cnf(1404,plain,(c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X1,X3)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,X3)),inference(split_conjunct,[status(thm)],[1403])).
% cnf(1446,plain,(class_Rings_Ozero__neq__one(tc_Nat_Onat)),inference(split_conjunct,[status(thm)],[257])).
% fof(1550, plain,![X26]:((~(c_Finite__Set_Ofinite(tc_Nat_Onat,X26))|?[X52]:![X15]:(~(c_member(tc_Nat_Onat,X15,X26))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X15,X52)))&(![X52]:?[X15]:(c_member(tc_Nat_Onat,X15,X26)&~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X15,X52)))|c_Finite__Set_Ofinite(tc_Nat_Onat,X26))),inference(fof_nnf,[status(thm)],[291])).
% fof(1551, plain,![X53]:((~(c_Finite__Set_Ofinite(tc_Nat_Onat,X53))|?[X54]:![X55]:(~(c_member(tc_Nat_Onat,X55,X53))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X55,X54)))&(![X56]:?[X57]:(c_member(tc_Nat_Onat,X57,X53)&~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X57,X56)))|c_Finite__Set_Ofinite(tc_Nat_Onat,X53))),inference(variable_rename,[status(thm)],[1550])).
% fof(1552, plain,![X53]:((~(c_Finite__Set_Ofinite(tc_Nat_Onat,X53))|![X55]:(~(c_member(tc_Nat_Onat,X55,X53))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X55,esk25_1(X53))))&(![X56]:(c_member(tc_Nat_Onat,esk26_2(X53,X56),X53)&~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk26_2(X53,X56),X56)))|c_Finite__Set_Ofinite(tc_Nat_Onat,X53))),inference(skolemize,[status(esa)],[1551])).
% fof(1553, plain,![X53]:![X55]:![X56]:(((c_member(tc_Nat_Onat,esk26_2(X53,X56),X53)&~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk26_2(X53,X56),X56)))|c_Finite__Set_Ofinite(tc_Nat_Onat,X53))&((~(c_member(tc_Nat_Onat,X55,X53))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X55,esk25_1(X53)))|~(c_Finite__Set_Ofinite(tc_Nat_Onat,X53)))),inference(shift_quantors,[status(thm)],[1552])).
% fof(1554, plain,![X53]:![X55]:![X56]:(((c_member(tc_Nat_Onat,esk26_2(X53,X56),X53)|c_Finite__Set_Ofinite(tc_Nat_Onat,X53))&(~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk26_2(X53,X56),X56))|c_Finite__Set_Ofinite(tc_Nat_Onat,X53)))&((~(c_member(tc_Nat_Onat,X55,X53))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X55,esk25_1(X53)))|~(c_Finite__Set_Ofinite(tc_Nat_Onat,X53)))),inference(distribute,[status(thm)],[1553])).
% cnf(1555,plain,(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,esk25_1(X1))|~c_Finite__Set_Ofinite(tc_Nat_Onat,X1)|~c_member(tc_Nat_Onat,X2,X1)),inference(split_conjunct,[status(thm)],[1554])).
% fof(1861, plain,![X1]:![X8]:![X4]:((~(c_member(X4,X8,X1))|hBOOL(hAPP(X1,X8)))&(~(hBOOL(hAPP(X1,X8)))|c_member(X4,X8,X1))),inference(fof_nnf,[status(thm)],[374])).
% fof(1862, plain,![X9]:![X10]:![X11]:((~(c_member(X11,X10,X9))|hBOOL(hAPP(X9,X10)))&(~(hBOOL(hAPP(X9,X10)))|c_member(X11,X10,X9))),inference(variable_rename,[status(thm)],[1861])).
% cnf(1863,plain,(c_member(X1,X2,X3)|~hBOOL(hAPP(X3,X2))),inference(split_conjunct,[status(thm)],[1862])).
% fof(2068, plain,![X7]:![X8]:![X4]:(~(class_Orderings_Olinorder(X4))|((X8=X7|(c_Orderings_Oord__class_Oless(X4,X8,X7)|c_Orderings_Oord__class_Oless(X4,X7,X8)))&((~(c_Orderings_Oord__class_Oless(X4,X8,X7))&~(c_Orderings_Oord__class_Oless(X4,X7,X8)))|~(X8=X7)))),inference(fof_nnf,[status(thm)],[430])).
% fof(2069, plain,![X9]:![X10]:![X11]:(~(class_Orderings_Olinorder(X11))|((X10=X9|(c_Orderings_Oord__class_Oless(X11,X10,X9)|c_Orderings_Oord__class_Oless(X11,X9,X10)))&((~(c_Orderings_Oord__class_Oless(X11,X10,X9))&~(c_Orderings_Oord__class_Oless(X11,X9,X10)))|~(X10=X9)))),inference(variable_rename,[status(thm)],[2068])).
% fof(2070, plain,![X9]:![X10]:![X11]:(((X10=X9|(c_Orderings_Oord__class_Oless(X11,X10,X9)|c_Orderings_Oord__class_Oless(X11,X9,X10)))|~(class_Orderings_Olinorder(X11)))&(((~(c_Orderings_Oord__class_Oless(X11,X10,X9))|~(X10=X9))|~(class_Orderings_Olinorder(X11)))&((~(c_Orderings_Oord__class_Oless(X11,X9,X10))|~(X10=X9))|~(class_Orderings_Olinorder(X11))))),inference(distribute,[status(thm)],[2069])).
% cnf(2071,plain,(~class_Orderings_Olinorder(X1)|X2!=X3|~c_Orderings_Oord__class_Oless(X1,X3,X2)),inference(split_conjunct,[status(thm)],[2070])).
% fof(2390, plain,![X11]:![X2]:![X4]:![X3]:(~(class_Orderings_Oord(X3))|((~(c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X3),X2,X11))|![X15]:c_Orderings_Oord__class_Oless__eq(X3,hAPP(X2,X15),hAPP(X11,X15)))&(?[X15]:~(c_Orderings_Oord__class_Oless__eq(X3,hAPP(X2,X15),hAPP(X11,X15)))|c_Orderings_Oord__class_Oless__eq(tc_fun(X4,X3),X2,X11)))),inference(fof_nnf,[status(thm)],[514])).
% fof(2391, plain,![X16]:![X17]:![X18]:![X19]:(~(class_Orderings_Oord(X19))|((~(c_Orderings_Oord__class_Oless__eq(tc_fun(X18,X19),X17,X16))|![X20]:c_Orderings_Oord__class_Oless__eq(X19,hAPP(X17,X20),hAPP(X16,X20)))&(?[X21]:~(c_Orderings_Oord__class_Oless__eq(X19,hAPP(X17,X21),hAPP(X16,X21)))|c_Orderings_Oord__class_Oless__eq(tc_fun(X18,X19),X17,X16)))),inference(variable_rename,[status(thm)],[2390])).
% fof(2392, plain,![X16]:![X17]:![X18]:![X19]:(~(class_Orderings_Oord(X19))|((~(c_Orderings_Oord__class_Oless__eq(tc_fun(X18,X19),X17,X16))|![X20]:c_Orderings_Oord__class_Oless__eq(X19,hAPP(X17,X20),hAPP(X16,X20)))&(~(c_Orderings_Oord__class_Oless__eq(X19,hAPP(X17,esk42_4(X16,X17,X18,X19)),hAPP(X16,esk42_4(X16,X17,X18,X19))))|c_Orderings_Oord__class_Oless__eq(tc_fun(X18,X19),X17,X16)))),inference(skolemize,[status(esa)],[2391])).
% fof(2393, plain,![X16]:![X17]:![X18]:![X19]:![X20]:(((c_Orderings_Oord__class_Oless__eq(X19,hAPP(X17,X20),hAPP(X16,X20))|~(c_Orderings_Oord__class_Oless__eq(tc_fun(X18,X19),X17,X16)))&(~(c_Orderings_Oord__class_Oless__eq(X19,hAPP(X17,esk42_4(X16,X17,X18,X19)),hAPP(X16,esk42_4(X16,X17,X18,X19))))|c_Orderings_Oord__class_Oless__eq(tc_fun(X18,X19),X17,X16)))|~(class_Orderings_Oord(X19))),inference(shift_quantors,[status(thm)],[2392])).
% fof(2394, plain,![X16]:![X17]:![X18]:![X19]:![X20]:(((c_Orderings_Oord__class_Oless__eq(X19,hAPP(X17,X20),hAPP(X16,X20))|~(c_Orderings_Oord__class_Oless__eq(tc_fun(X18,X19),X17,X16)))|~(class_Orderings_Oord(X19)))&((~(c_Orderings_Oord__class_Oless__eq(X19,hAPP(X17,esk42_4(X16,X17,X18,X19)),hAPP(X16,esk42_4(X16,X17,X18,X19))))|c_Orderings_Oord__class_Oless__eq(tc_fun(X18,X19),X17,X16))|~(class_Orderings_Oord(X19)))),inference(distribute,[status(thm)],[2393])).
% cnf(2395,plain,(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)|~class_Orderings_Oord(X1)|~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)],[2394])).
% cnf(2396,plain,(c_Orderings_Oord__class_Oless__eq(X1,hAPP(X3,X5),hAPP(X4,X5))|~class_Orderings_Oord(X1)|~c_Orderings_Oord__class_Oless__eq(tc_fun(X2,X1),X3,X4)),inference(split_conjunct,[status(thm)],[2394])).
% cnf(2501,plain,(~class_Orderings_Olinorder(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X2)),inference(er,[status(thm)],[2071,theory(equality)])).
% cnf(2610,plain,(c_Groups_Oone__class_Oone(tc_Nat_Onat)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),inference(spm,[status(thm)],[1390,1446,theory(equality)])).
% cnf(2808,plain,(c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Finite__Set_Ofinite(tc_Product__Type_Ounit,c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool)))),inference(spm,[status(thm)],[681,811,theory(equality)])).
% cnf(3129,plain,(c_member(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))),inference(spm,[status(thm)],[1863,920,theory(equality)])).
% cnf(6062,plain,(~class_Orderings_Olinorder(tc_Nat_Onat)|~c_member(tc_Nat_Onat,esk25_1(X1),X1)|~c_Finite__Set_Ofinite(tc_Nat_Onat,X1)),inference(spm,[status(thm)],[2501,1555,theory(equality)])).
% cnf(6081,plain,($false|~c_member(tc_Nat_Onat,esk25_1(X1),X1)|~c_Finite__Set_Ofinite(tc_Nat_Onat,X1)),inference(rw,[status(thm)],[6062,1400,theory(equality)])).
% cnf(6082,plain,(~c_member(tc_Nat_Onat,esk25_1(X1),X1)|~c_Finite__Set_Ofinite(tc_Nat_Onat,X1)),inference(cn,[status(thm)],[6081,theory(equality)])).
% cnf(9856,plain,(esk14_4(X1,c_Nat_OSuc,X2,X3)=X4|c_Fun_Oinj__on(X3,X2,c_Nat_OSuc,X1)|hAPP(c_Nat_OSuc,esk13_4(X1,c_Nat_OSuc,X2,X3))!=hAPP(c_Nat_OSuc,X4)),inference(spm,[status(thm)],[1151,1063,theory(equality)])).
% cnf(14148,plain,(c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,hAPP(X1,X2),hAPP(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)),X2))|~class_Orderings_Oord(tc_HOL_Obool)),inference(spm,[status(thm)],[2396,674,theory(equality)])).
% cnf(14158,plain,(c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,hAPP(X1,X2),hAPP(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)),X2))|$false),inference(rw,[status(thm)],[14148,1277,theory(equality)])).
% cnf(14159,plain,(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)],[14158,theory(equality)])).
% cnf(24726,plain,(c_Finite__Set_Ofinite(tc_Product__Type_Ounit,c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool)))),inference(sr,[status(thm)],[2808,2610,theory(equality)])).
% cnf(34468,plain,(~c_Finite__Set_Ofinite(tc_Nat_Onat,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),inference(spm,[status(thm)],[6082,3129,theory(equality)])).
% cnf(61222,plain,(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)],[2395,14159,theory(equality)])).
% cnf(61293,plain,(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))|$false),inference(rw,[status(thm)],[61222,1277,theory(equality)])).
% cnf(61294,plain,(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))),inference(cn,[status(thm)],[61293,theory(equality)])).
% cnf(61327,plain,(c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))),inference(spm,[status(thm)],[1404,61294,theory(equality)])).
% cnf(153162,plain,(c_Finite__Set_Ofinite(tc_Product__Type_Ounit,X1)),inference(spm,[status(thm)],[61327,24726,theory(equality)])).
% cnf(153168,plain,(c_Finite__Set_Ofinite(X1,X2)|~c_Fun_Oinj__on(X1,tc_Product__Type_Ounit,X3,X2)),inference(spm,[status(thm)],[822,153162,theory(equality)])).
% cnf(818843,plain,(esk14_4(X1,c_Nat_OSuc,X2,X3)=esk13_4(X1,c_Nat_OSuc,X2,X3)|c_Fun_Oinj__on(X3,X2,c_Nat_OSuc,X1)),inference(er,[status(thm)],[9856,theory(equality)])).
% cnf(923208,plain,(c_Fun_Oinj__on(X3,X2,c_Nat_OSuc,X1)),inference(csr,[status(thm)],[818843,1062])).
% cnf(923210,plain,(c_Finite__Set_Ofinite(X1,X2)),inference(spm,[status(thm)],[153168,923208,theory(equality)])).
% cnf(923771,plain,($false),inference(rw,[status(thm)],[34468,923210,theory(equality)])).
% cnf(923772,plain,($false),inference(cn,[status(thm)],[923771,theory(equality)])).
% cnf(923773,plain,($false),923772,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 23354
% # ...of these trivial : 566
% # ...subsumed : 19028
% # ...remaining for further processing: 3760
% # Other redundant clauses eliminated : 9253
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 132
% # Backward-rewritten : 451
% # Generated clauses : 562301
% # ...of the previous two non-trivial : 472840
% # Contextual simplify-reflections : 3403
% # Paramodulations : 552803
% # Factorizations : 54
% # Equation resolutions : 9441
% # Current number of processed clauses: 2577
% # Positive orientable unit clauses: 378
% # Positive unorientable unit clauses: 17
% # Negative unit clauses : 126
% # Non-unit-clauses : 2056
% # Current number of unprocessed clauses: 330643
% # ...number of literals in the above : 1132248
% # Clause-clause subsumption calls (NU) : 263032
% # Rec. Clause-clause subsumption calls : 204639
% # Unit Clause-clause subsumption calls : 5076
% # Rewrite failures with RHS unbound : 42
% # Indexed BW rewrite attempts : 28802
% # Indexed BW rewrite successes : 245
% # Backwards rewriting index: 708 leaves, 3.48+/-10.540 terms/leaf
% # Paramod-from index: 329 leaves, 2.82+/-8.729 terms/leaf
% # Paramod-into index: 618 leaves, 3.30+/-10.020 terms/leaf
% # -------------------------------------------------
% # User time : 20.664 s
% # System time : 0.610 s
% # Total time : 21.274 s
% # Maximum resident set size: 0 pages
% PrfWatch: 32.23 CPU 32.85 WC
% FINAL PrfWatch: 32.23 CPU 32.85 WC
% SZS output end Solution for /tmp/SystemOnTPTP10439/SCT159+1.tptp
%
%------------------------------------------------------------------------------