TSTP Solution File: SCT164+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SCT164+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 : art05.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 00:24:23 EST 2011
% Result : Theorem 28.31s
% Output : Solution 28.31s
% 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/SystemOnTPTP7927/SCT164+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP7927/SCT164+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP7927/SCT164+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 8051
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.94 CPU 2.03 WC
% PrfWatch: 3.93 CPU 4.03 WC
% PrfWatch: 5.92 CPU 6.04 WC
% PrfWatch: 7.91 CPU 8.04 WC
% # Preprocessing time : 0.128 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 9.92 CPU 10.05 WC
% PrfWatch: 11.90 CPU 12.05 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:![X3]:(hBOOL(hAPP(hAPP(c_member(X3),X2),X1))<=>hBOOL(hAPP(X1,X2))),file('/tmp/SRASS.s.p', fact_mem__def)).
% fof(4, axiom,![X7]:~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X7),X7))),file('/tmp/SRASS.s.p', fact_less__irrefl__nat)).
% fof(54, axiom,![X38]:(c_Finite__Set_Ofinite(tc_Nat_Onat,X38)<=>?[X37]:![X15]:(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X15),X38))=>hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X15),X37)))),file('/tmp/SRASS.s.p', fact_finite__nat__set__iff__bounded)).
% fof(66, axiom,![X14]:![X2]:(~(X2=X14)|hBOOL(hAPP(hAPP(c_fequal,X2),X14))),file('/tmp/SRASS.s.p', help_c__fequal__2)).
% fof(104, axiom,![X10]:![X39]:![X22]:![X3]:![X47]:![X11]:hAPP(c_COMBS(X11,X47,X3,X22,X39),X10)=hAPP(hAPP(X22,X10),hAPP(X39,X10)),file('/tmp/SRASS.s.p', help_c__COMBS__1)).
% fof(114, axiom,![X7]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X7),X7)),file('/tmp/SRASS.s.p', fact_le__refl)).
% fof(132, axiom,![X11]:![X2]:![X25]:![X3]:hBOOL(hAPP(hAPP(c_member(X3),hAPP(X25,X2)),c_Set_Oimage(X11,X3,X25,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_HOL_Obool))))),file('/tmp/SRASS.s.p', fact_rangeI)).
% fof(162, axiom,![X1]:![X3]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))),file('/tmp/SRASS.s.p', fact_subset__UNIV)).
% fof(164, axiom,![X1]:![X5]:![X3]:(c_Finite__Set_Ofinite(X3,X5)=>(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1),X5))=>c_Finite__Set_Ofinite(X3,X1))),file('/tmp/SRASS.s.p', fact_rev__finite__subset)).
% fof(232, axiom,![X25]:![X5]:![X11]:![X1]:![X3]:(c_Finite__Set_Ofinite(X3,X1)=>(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X11,tc_HOL_Obool),X5),c_Set_Oimage(X3,X11,X25,X1)))=>c_Finite__Set_Ofinite(X11,X5))),file('/tmp/SRASS.s.p', fact_finite__surj)).
% fof(240, axiom,class_Orderings_Oord(tc_HOL_Obool),file('/tmp/SRASS.s.p', arity_HOL__Obool__Orderings_Oord)).
% fof(248, axiom,![X1]:![X3]:(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Finite__Set_Ocard(X3,X1)))=>c_Finite__Set_Ofinite(X3,X1)),file('/tmp/SRASS.s.p', fact_card__ge__0__finite)).
% fof(337, axiom,![X25]:![X3]:![X11]:(c_Set_Oimage(X11,X3,X25,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))<=>![X15]:hAPP(X25,hAPP(c_Hilbert__Choice_Oinv__into(X11,X3,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_HOL_Obool)),X25),X15))=X15),file('/tmp/SRASS.s.p', fact_surj__iff__all)).
% fof(350, axiom,![X71]:![X3]:hAPP(c_COMBI(X3),X71)=X71,file('/tmp/SRASS.s.p', help_c__COMBI__1)).
% fof(352, axiom,![X56]:![X25]:![X3]:![X11]:(class_Orderings_Oord(X11)=>(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,X11),X25),X56))<=>![X15]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X11,hAPP(X25,X15)),hAPP(X56,X15))))),file('/tmp/SRASS.s.p', fact_le__fun__def)).
% fof(387, axiom,![X26]:hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X26)=c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X26)),file('/tmp/SRASS.s.p', fact_less__eq__Suc__le__raw)).
% fof(410, 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(445, axiom,![X1]:![X25]:![X11]:![X14]:![X3]:(hBOOL(hAPP(hAPP(c_member(X3),X14),c_Set_Oimage(X11,X3,X25,X1)))=>hAPP(X25,hAPP(c_Hilbert__Choice_Oinv__into(X11,X3,X1,X25),X14))=X14),file('/tmp/SRASS.s.p', fact_f__inv__into__f)).
% fof(467, axiom,c_Groups_Oone__class_Oone(tc_Nat_Onat)=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),file('/tmp/SRASS.s.p', fact_One__nat__def)).
% fof(535, plain,![X7]:~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X7),X7))),inference(fof_simplification,[status(thm)],[4,theory(equality)])).
% fof(598, plain,![X1]:![X2]:![X3]:((~(hBOOL(hAPP(hAPP(c_member(X3),X2),X1)))|hBOOL(hAPP(X1,X2)))&(~(hBOOL(hAPP(X1,X2)))|hBOOL(hAPP(hAPP(c_member(X3),X2),X1)))),inference(fof_nnf,[status(thm)],[1])).
% fof(599, plain,![X4]:![X5]:![X6]:((~(hBOOL(hAPP(hAPP(c_member(X6),X5),X4)))|hBOOL(hAPP(X4,X5)))&(~(hBOOL(hAPP(X4,X5)))|hBOOL(hAPP(hAPP(c_member(X6),X5),X4)))),inference(variable_rename,[status(thm)],[598])).
% cnf(600,plain,(hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(X3,X2))),inference(split_conjunct,[status(thm)],[599])).
% fof(608, plain,![X8]:~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X8),X8))),inference(variable_rename,[status(thm)],[535])).
% cnf(609,plain,(~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),X1))),inference(split_conjunct,[status(thm)],[608])).
% fof(861, plain,![X38]:((~(c_Finite__Set_Ofinite(tc_Nat_Onat,X38))|?[X37]:![X15]:(~(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X15),X38)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X15),X37))))&(![X37]:?[X15]:(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X15),X38))&~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X15),X37))))|c_Finite__Set_Ofinite(tc_Nat_Onat,X38))),inference(fof_nnf,[status(thm)],[54])).
% fof(862, plain,![X39]:((~(c_Finite__Set_Ofinite(tc_Nat_Onat,X39))|?[X40]:![X41]:(~(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X41),X39)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X41),X40))))&(![X42]:?[X43]:(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X43),X39))&~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X43),X42))))|c_Finite__Set_Ofinite(tc_Nat_Onat,X39))),inference(variable_rename,[status(thm)],[861])).
% fof(863, plain,![X39]:((~(c_Finite__Set_Ofinite(tc_Nat_Onat,X39))|![X41]:(~(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X41),X39)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X41),esk17_1(X39)))))&(![X42]:(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk18_2(X39,X42)),X39))&~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk18_2(X39,X42)),X42))))|c_Finite__Set_Ofinite(tc_Nat_Onat,X39))),inference(skolemize,[status(esa)],[862])).
% fof(864, plain,![X39]:![X41]:![X42]:(((hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk18_2(X39,X42)),X39))&~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk18_2(X39,X42)),X42))))|c_Finite__Set_Ofinite(tc_Nat_Onat,X39))&((~(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X41),X39)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X41),esk17_1(X39))))|~(c_Finite__Set_Ofinite(tc_Nat_Onat,X39)))),inference(shift_quantors,[status(thm)],[863])).
% fof(865, plain,![X39]:![X41]:![X42]:(((hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk18_2(X39,X42)),X39))|c_Finite__Set_Ofinite(tc_Nat_Onat,X39))&(~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),esk18_2(X39,X42)),X42)))|c_Finite__Set_Ofinite(tc_Nat_Onat,X39)))&((~(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X41),X39)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X41),esk17_1(X39))))|~(c_Finite__Set_Ofinite(tc_Nat_Onat,X39)))),inference(distribute,[status(thm)],[864])).
% cnf(866,plain,(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),esk17_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)],[865])).
% fof(901, plain,![X15]:![X16]:(~(X16=X15)|hBOOL(hAPP(hAPP(c_fequal,X16),X15))),inference(variable_rename,[status(thm)],[66])).
% cnf(902,plain,(hBOOL(hAPP(hAPP(c_fequal,X1),X2))|X1!=X2),inference(split_conjunct,[status(thm)],[901])).
% fof(1037, plain,![X48]:![X49]:![X50]:![X51]:![X52]:![X53]:hAPP(c_COMBS(X53,X52,X51,X50,X49),X48)=hAPP(hAPP(X50,X48),hAPP(X49,X48)),inference(variable_rename,[status(thm)],[104])).
% cnf(1038,plain,(hAPP(c_COMBS(X1,X2,X3,X4,X5),X6)=hAPP(hAPP(X4,X6),hAPP(X5,X6))),inference(split_conjunct,[status(thm)],[1037])).
% fof(1077, plain,![X8]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X8),X8)),inference(variable_rename,[status(thm)],[114])).
% cnf(1078,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1))),inference(split_conjunct,[status(thm)],[1077])).
% fof(1156, plain,![X26]:![X27]:![X28]:![X29]:hBOOL(hAPP(hAPP(c_member(X29),hAPP(X28,X27)),c_Set_Oimage(X26,X29,X28,c_Orderings_Otop__class_Otop(tc_fun(X26,tc_HOL_Obool))))),inference(variable_rename,[status(thm)],[132])).
% cnf(1157,plain,(hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,X3)),c_Set_Oimage(X4,X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool)))))),inference(split_conjunct,[status(thm)],[1156])).
% fof(1240, plain,![X4]:![X5]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool),X4),c_Orderings_Otop__class_Otop(tc_fun(X5,tc_HOL_Obool)))),inference(variable_rename,[status(thm)],[162])).
% cnf(1241,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)],[1240])).
% fof(1245, plain,![X1]:![X5]:![X3]:(~(c_Finite__Set_Ofinite(X3,X5))|(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1),X5)))|c_Finite__Set_Ofinite(X3,X1))),inference(fof_nnf,[status(thm)],[164])).
% fof(1246, plain,![X6]:![X7]:![X8]:(~(c_Finite__Set_Ofinite(X8,X7))|(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X8,tc_HOL_Obool),X6),X7)))|c_Finite__Set_Ofinite(X8,X6))),inference(variable_rename,[status(thm)],[1245])).
% cnf(1247,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)],[1246])).
% fof(1511, plain,![X25]:![X5]:![X11]:![X1]:![X3]:(~(c_Finite__Set_Ofinite(X3,X1))|(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X11,tc_HOL_Obool),X5),c_Set_Oimage(X3,X11,X25,X1))))|c_Finite__Set_Ofinite(X11,X5))),inference(fof_nnf,[status(thm)],[232])).
% fof(1512, plain,![X26]:![X27]:![X28]:![X29]:![X30]:(~(c_Finite__Set_Ofinite(X30,X29))|(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X28,tc_HOL_Obool),X27),c_Set_Oimage(X30,X28,X26,X29))))|c_Finite__Set_Ofinite(X28,X27))),inference(variable_rename,[status(thm)],[1511])).
% cnf(1513,plain,(c_Finite__Set_Ofinite(X1,X2)|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),c_Set_Oimage(X3,X1,X4,X5)))|~c_Finite__Set_Ofinite(X3,X5)),inference(split_conjunct,[status(thm)],[1512])).
% cnf(1528,plain,(class_Orderings_Oord(tc_HOL_Obool)),inference(split_conjunct,[status(thm)],[240])).
% fof(1552, plain,![X1]:![X3]:(~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Finite__Set_Ocard(X3,X1))))|c_Finite__Set_Ofinite(X3,X1)),inference(fof_nnf,[status(thm)],[248])).
% fof(1553, plain,![X4]:![X5]:(~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Finite__Set_Ocard(X5,X4))))|c_Finite__Set_Ofinite(X5,X4)),inference(variable_rename,[status(thm)],[1552])).
% cnf(1554,plain,(c_Finite__Set_Ofinite(X1,X2)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Finite__Set_Ocard(X1,X2)))),inference(split_conjunct,[status(thm)],[1553])).
% fof(1792, plain,![X25]:![X3]:![X11]:((~(c_Set_Oimage(X11,X3,X25,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))|![X15]:hAPP(X25,hAPP(c_Hilbert__Choice_Oinv__into(X11,X3,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_HOL_Obool)),X25),X15))=X15)&(?[X15]:~(hAPP(X25,hAPP(c_Hilbert__Choice_Oinv__into(X11,X3,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_HOL_Obool)),X25),X15))=X15)|c_Set_Oimage(X11,X3,X25,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))),inference(fof_nnf,[status(thm)],[337])).
% fof(1793, plain,![X26]:![X27]:![X28]:((~(c_Set_Oimage(X28,X27,X26,c_Orderings_Otop__class_Otop(tc_fun(X28,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X27,tc_HOL_Obool)))|![X29]:hAPP(X26,hAPP(c_Hilbert__Choice_Oinv__into(X28,X27,c_Orderings_Otop__class_Otop(tc_fun(X28,tc_HOL_Obool)),X26),X29))=X29)&(?[X30]:~(hAPP(X26,hAPP(c_Hilbert__Choice_Oinv__into(X28,X27,c_Orderings_Otop__class_Otop(tc_fun(X28,tc_HOL_Obool)),X26),X30))=X30)|c_Set_Oimage(X28,X27,X26,c_Orderings_Otop__class_Otop(tc_fun(X28,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X27,tc_HOL_Obool)))),inference(variable_rename,[status(thm)],[1792])).
% fof(1794, plain,![X26]:![X27]:![X28]:((~(c_Set_Oimage(X28,X27,X26,c_Orderings_Otop__class_Otop(tc_fun(X28,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X27,tc_HOL_Obool)))|![X29]:hAPP(X26,hAPP(c_Hilbert__Choice_Oinv__into(X28,X27,c_Orderings_Otop__class_Otop(tc_fun(X28,tc_HOL_Obool)),X26),X29))=X29)&(~(hAPP(X26,hAPP(c_Hilbert__Choice_Oinv__into(X28,X27,c_Orderings_Otop__class_Otop(tc_fun(X28,tc_HOL_Obool)),X26),esk42_3(X26,X27,X28)))=esk42_3(X26,X27,X28))|c_Set_Oimage(X28,X27,X26,c_Orderings_Otop__class_Otop(tc_fun(X28,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X27,tc_HOL_Obool)))),inference(skolemize,[status(esa)],[1793])).
% fof(1795, plain,![X26]:![X27]:![X28]:![X29]:((hAPP(X26,hAPP(c_Hilbert__Choice_Oinv__into(X28,X27,c_Orderings_Otop__class_Otop(tc_fun(X28,tc_HOL_Obool)),X26),X29))=X29|~(c_Set_Oimage(X28,X27,X26,c_Orderings_Otop__class_Otop(tc_fun(X28,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X27,tc_HOL_Obool))))&(~(hAPP(X26,hAPP(c_Hilbert__Choice_Oinv__into(X28,X27,c_Orderings_Otop__class_Otop(tc_fun(X28,tc_HOL_Obool)),X26),esk42_3(X26,X27,X28)))=esk42_3(X26,X27,X28))|c_Set_Oimage(X28,X27,X26,c_Orderings_Otop__class_Otop(tc_fun(X28,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X27,tc_HOL_Obool)))),inference(shift_quantors,[status(thm)],[1794])).
% cnf(1796,plain,(c_Set_Oimage(X1,X2,X3,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))|hAPP(X3,hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X3),esk42_3(X3,X2,X1)))!=esk42_3(X3,X2,X1)),inference(split_conjunct,[status(thm)],[1795])).
% fof(1830, plain,![X72]:![X73]:hAPP(c_COMBI(X73),X72)=X72,inference(variable_rename,[status(thm)],[350])).
% cnf(1831,plain,(hAPP(c_COMBI(X1),X2)=X2),inference(split_conjunct,[status(thm)],[1830])).
% fof(1834, plain,![X56]:![X25]:![X3]:![X11]:(~(class_Orderings_Oord(X11))|((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,X11),X25),X56)))|![X15]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X11,hAPP(X25,X15)),hAPP(X56,X15))))&(?[X15]:~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X11,hAPP(X25,X15)),hAPP(X56,X15))))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,X11),X25),X56))))),inference(fof_nnf,[status(thm)],[352])).
% fof(1835, plain,![X57]:![X58]:![X59]:![X60]:(~(class_Orderings_Oord(X60))|((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X59,X60),X58),X57)))|![X61]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X60,hAPP(X58,X61)),hAPP(X57,X61))))&(?[X62]:~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X60,hAPP(X58,X62)),hAPP(X57,X62))))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X59,X60),X58),X57))))),inference(variable_rename,[status(thm)],[1834])).
% fof(1836, plain,![X57]:![X58]:![X59]:![X60]:(~(class_Orderings_Oord(X60))|((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X59,X60),X58),X57)))|![X61]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X60,hAPP(X58,X61)),hAPP(X57,X61))))&(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X60,hAPP(X58,esk43_4(X57,X58,X59,X60))),hAPP(X57,esk43_4(X57,X58,X59,X60)))))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X59,X60),X58),X57))))),inference(skolemize,[status(esa)],[1835])).
% fof(1837, plain,![X57]:![X58]:![X59]:![X60]:![X61]:(((hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X60,hAPP(X58,X61)),hAPP(X57,X61)))|~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X59,X60),X58),X57))))&(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X60,hAPP(X58,esk43_4(X57,X58,X59,X60))),hAPP(X57,esk43_4(X57,X58,X59,X60)))))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X59,X60),X58),X57))))|~(class_Orderings_Oord(X60))),inference(shift_quantors,[status(thm)],[1836])).
% fof(1838, plain,![X57]:![X58]:![X59]:![X60]:![X61]:(((hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X60,hAPP(X58,X61)),hAPP(X57,X61)))|~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X59,X60),X58),X57))))|~(class_Orderings_Oord(X60)))&((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X60,hAPP(X58,esk43_4(X57,X58,X59,X60))),hAPP(X57,esk43_4(X57,X58,X59,X60)))))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X59,X60),X58),X57)))|~(class_Orderings_Oord(X60)))),inference(distribute,[status(thm)],[1837])).
% cnf(1839,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,esk43_4(X4,X3,X2,X1))),hAPP(X4,esk43_4(X4,X3,X2,X1))))),inference(split_conjunct,[status(thm)],[1838])).
% cnf(1840,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)],[1838])).
% fof(1957, plain,![X27]:hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X27)=c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X27)),inference(variable_rename,[status(thm)],[387])).
% cnf(1958,plain,(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1)=c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X1))),inference(split_conjunct,[status(thm)],[1957])).
% cnf(2030,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)],[410])).
% fof(2142, plain,![X1]:![X25]:![X11]:![X14]:![X3]:(~(hBOOL(hAPP(hAPP(c_member(X3),X14),c_Set_Oimage(X11,X3,X25,X1))))|hAPP(X25,hAPP(c_Hilbert__Choice_Oinv__into(X11,X3,X1,X25),X14))=X14),inference(fof_nnf,[status(thm)],[445])).
% fof(2143, plain,![X26]:![X27]:![X28]:![X29]:![X30]:(~(hBOOL(hAPP(hAPP(c_member(X30),X29),c_Set_Oimage(X28,X30,X27,X26))))|hAPP(X27,hAPP(c_Hilbert__Choice_Oinv__into(X28,X30,X26,X27),X29))=X29),inference(variable_rename,[status(thm)],[2142])).
% cnf(2144,plain,(hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X3,X4,X1),X5))=X5|~hBOOL(hAPP(hAPP(c_member(X3),X5),c_Set_Oimage(X2,X3,X1,X4)))),inference(split_conjunct,[status(thm)],[2143])).
% cnf(2225,plain,(c_Groups_Oone__class_Oone(tc_Nat_Onat)=hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),inference(split_conjunct,[status(thm)],[467])).
% cnf(2453,plain,(hBOOL(hAPP(hAPP(c_fequal,X1),X1))),inference(er,[status(thm)],[902,theory(equality)])).
% cnf(2628,plain,(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))=hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),inference(spm,[status(thm)],[1958,2225,theory(equality)])).
% cnf(3840,plain,(hBOOL(hAPP(hAPP(c_member(X1),X3),c_Set_Oimage(X4,X1,c_COMBI(X2),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool)))))),inference(spm,[status(thm)],[1157,1831,theory(equality)])).
% cnf(4052,plain,(hAPP(c_COMBS(X1,X2,X3,X4,c_COMBI(X5)),X6)=hAPP(hAPP(X4,X6),X6)),inference(spm,[status(thm)],[1038,1831,theory(equality)])).
% cnf(4361,plain,(~c_Finite__Set_Ofinite(tc_Nat_Onat,X1)|~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk17_1(X1)),X1))),inference(spm,[status(thm)],[609,866,theory(equality)])).
% cnf(4598,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)],[1247,1241,theory(equality)])).
% cnf(9187,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)],[1840,1241,theory(equality)])).
% cnf(9196,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)))|$false),inference(rw,[status(thm)],[9187,1528,theory(equality)])).
% cnf(9197,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_HOL_Obool,hAPP(X1,X2)),hAPP(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)),X2)))),inference(cn,[status(thm)],[9196,theory(equality)])).
% cnf(25504,plain,(c_Finite__Set_Ofinite(X1,X2)|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Finite__Set_Ocard(X1,X2)))),inference(rw,[status(thm)],[1554,2628,theory(equality)])).
% cnf(25963,plain,(c_Finite__Set_Ofinite(tc_Product__Type_Ounit,c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool)))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),inference(spm,[status(thm)],[25504,2030,theory(equality)])).
% cnf(25971,plain,(c_Finite__Set_Ofinite(tc_Product__Type_Ounit,c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool)))|$false),inference(rw,[status(thm)],[25963,1078,theory(equality)])).
% cnf(25972,plain,(c_Finite__Set_Ofinite(tc_Product__Type_Ounit,c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool)))),inference(cn,[status(thm)],[25971,theory(equality)])).
% cnf(29405,plain,(c_Finite__Set_Ofinite(tc_Product__Type_Ounit,X1)),inference(spm,[status(thm)],[4598,25972,theory(equality)])).
% cnf(32688,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)],[1839,9197,theory(equality)])).
% cnf(32757,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))))|$false),inference(rw,[status(thm)],[32688,1528,theory(equality)])).
% cnf(32758,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X2),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))))),inference(cn,[status(thm)],[32757,theory(equality)])).
% cnf(66997,plain,(hAPP(c_COMBI(X1),hAPP(c_Hilbert__Choice_Oinv__into(X2,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),c_COMBI(X1)),X4))=X4),inference(spm,[status(thm)],[2144,3840,theory(equality)])).
% cnf(67024,plain,(hAPP(c_Hilbert__Choice_Oinv__into(X2,X3,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),c_COMBI(X1)),X4)=X4),inference(rw,[status(thm)],[66997,1831,theory(equality)])).
% cnf(88946,plain,(hBOOL(hAPP(c_COMBS(X2,X3,X4,c_fequal,c_COMBI(X5)),X1))),inference(spm,[status(thm)],[2453,4052,theory(equality)])).
% cnf(98350,plain,(c_Set_Oimage(X1,X2,c_COMBI(X3),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))|hAPP(c_COMBI(X3),esk42_3(c_COMBI(X3),X2,X1))!=esk42_3(c_COMBI(X3),X2,X1)),inference(spm,[status(thm)],[1796,67024,theory(equality)])).
% cnf(98384,plain,(c_Set_Oimage(X1,X2,c_COMBI(X3),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))|$false),inference(rw,[status(thm)],[98350,1831,theory(equality)])).
% cnf(98385,plain,(c_Set_Oimage(X1,X2,c_COMBI(X3),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))=c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool))),inference(cn,[status(thm)],[98384,theory(equality)])).
% cnf(133247,plain,(~c_Finite__Set_Ofinite(tc_Nat_Onat,X1)|~hBOOL(hAPP(X1,esk17_1(X1)))),inference(spm,[status(thm)],[4361,600,theory(equality)])).
% cnf(133486,plain,(~c_Finite__Set_Ofinite(tc_Nat_Onat,c_COMBS(X1,X2,X3,c_fequal,c_COMBI(X4)))),inference(spm,[status(thm)],[133247,88946,theory(equality)])).
% cnf(244496,plain,(c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))|~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(spm,[status(thm)],[1513,98385,theory(equality)])).
% cnf(244558,plain,(c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))|$false),inference(rw,[status(thm)],[244496,32758,theory(equality)])).
% cnf(244559,plain,(c_Finite__Set_Ofinite(X1,X2)|~c_Finite__Set_Ofinite(X3,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool)))),inference(cn,[status(thm)],[244558,theory(equality)])).
% cnf(244593,plain,(c_Finite__Set_Ofinite(X1,X2)),inference(spm,[status(thm)],[244559,29405,theory(equality)])).
% cnf(244818,plain,($false),inference(rw,[status(thm)],[133486,244593,theory(equality)])).
% cnf(244819,plain,($false),inference(cn,[status(thm)],[244818,theory(equality)])).
% cnf(244820,plain,($false),244819,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 8978
% # ...of these trivial : 295
% # ...subsumed : 6094
% # ...remaining for further processing: 2589
% # Other redundant clauses eliminated : 899
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 33
% # Backward-rewritten : 266
% # Generated clauses : 175068
% # ...of the previous two non-trivial : 159181
% # Contextual simplify-reflections : 685
% # Paramodulations : 174080
% # Factorizations : 17
% # Equation resolutions : 977
% # Current number of processed clauses: 1652
% # Positive orientable unit clauses: 444
% # Positive unorientable unit clauses: 36
% # Negative unit clauses : 109
% # Non-unit-clauses : 1063
% # Current number of unprocessed clauses: 136401
% # ...number of literals in the above : 438056
% # Clause-clause subsumption calls (NU) : 219065
% # Rec. Clause-clause subsumption calls : 167761
% # Unit Clause-clause subsumption calls : 12662
% # Rewrite failures with RHS unbound : 415
% # Indexed BW rewrite attempts : 15063
% # Indexed BW rewrite successes : 347
% # Backwards rewriting index: 1323 leaves, 2.81+/-8.002 terms/leaf
% # Paramod-from index: 325 leaves, 2.54+/-6.917 terms/leaf
% # Paramod-into index: 1194 leaves, 2.57+/-6.605 terms/leaf
% # -------------------------------------------------
% # User time : 8.860 s
% # System time : 0.274 s
% # Total time : 9.134 s
% # Maximum resident set size: 0 pages
% PrfWatch: 13.12 CPU 13.29 WC
% FINAL PrfWatch: 13.12 CPU 13.29 WC
% SZS output end Solution for /tmp/SystemOnTPTP7927/SCT164+1.tptp
%
%------------------------------------------------------------------------------