TSTP Solution File: SCT166+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SCT166+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 00:36:06 EST 2011
% Result : Theorem 28.51s
% Output : Solution 28.51s
% 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/SystemOnTPTP11312/SCT166+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% WARNING: TreeLimitedRun lost 0.08s, total lost is 0.08s
% found
% SZS status THM for /tmp/SystemOnTPTP11312/SCT166+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP11312/SCT166+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 11426
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.01 CPU 0.02 WC
% PrfWatch: 1.96 CPU 2.03 WC
% PrfWatch: 3.95 CPU 4.03 WC
% PrfWatch: 5.93 CPU 6.04 WC
% PrfWatch: 7.92 CPU 8.05 WC
% PrfWatch: 9.92 CPU 10.05 WC
% # Preprocessing time : 0.127 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 11.92 CPU 12.06 WC
% PrfWatch: 13.91 CPU 14.07 WC
% # SZS output start CNFRefutation.
% fof(15, axiom,![X12]:![X8]:![X10]:(hBOOL(hAPP(hAPP(c_member(X10),X8),X12))<=>hBOOL(hAPP(X12,X8))),file('/tmp/SRASS.s.p', fact_mem__def)).
% fof(116, axiom,![X21]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X21),X21)),file('/tmp/SRASS.s.p', fact_le__refl)).
% fof(131, axiom,![X16]:hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X16)=c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X16)),file('/tmp/SRASS.s.p', fact_less__eq__Suc__le__raw)).
% fof(142, axiom,![X33]:(c_Finite__Set_Ofinite(tc_Nat_Onat,X33)<=>?[X34]:![X3]:(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),X33))=>hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X34)))),file('/tmp/SRASS.s.p', fact_finite__nat__set__iff__bounded__le)).
% fof(206, axiom,![X12]:![X10]:(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Finite__Set_Ocard(X10,X12)))=>c_Finite__Set_Ofinite(X10,X12)),file('/tmp/SRASS.s.p', fact_card__ge__0__finite)).
% fof(213, axiom,![X12]:![X10]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,tc_HOL_Obool),X12),c_Orderings_Otop__class_Otop(tc_fun(X10,tc_HOL_Obool)))),file('/tmp/SRASS.s.p', fact_subset__UNIV)).
% fof(218, axiom,![X29]:![X8]:![X2]:![X10]:hBOOL(hAPP(hAPP(c_member(X10),hAPP(X2,X8)),c_Set_Oimage(X29,X10,X2,c_Orderings_Otop__class_Otop(tc_fun(X29,tc_HOL_Obool))))),file('/tmp/SRASS.s.p', fact_rangeI)).
% fof(226, axiom,class_Rings_Olinordered__semidom(tc_Nat_Onat),file('/tmp/SRASS.s.p', arity_Nat__Onat__Rings_Olinordered__semidom)).
% fof(232, axiom,class_Orderings_Olinorder(tc_Nat_Onat),file('/tmp/SRASS.s.p', arity_Nat__Onat__Orderings_Olinorder)).
% fof(247, axiom,![X21]:hAPP(c_Nat_OSuc,X21)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X21),c_Groups_Oone__class_Oone(tc_Nat_Onat)),file('/tmp/SRASS.s.p', fact_Suc__eq__plus1)).
% fof(250, 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(254, axiom,![X44]:![X10]:(class_Rings_Olinordered__semidom(X10)=>hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X10),X44),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X10),X44),c_Groups_Oone__class_Oone(X10))))),file('/tmp/SRASS.s.p', fact_less__add__one)).
% fof(283, axiom,![X12]:![X11]:![X10]:(c_Finite__Set_Ofinite(X10,X11)=>(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,tc_HOL_Obool),X12),X11))=>c_Finite__Set_Ofinite(X10,X12))),file('/tmp/SRASS.s.p', fact_rev__finite__subset)).
% fof(355, axiom,![X7]:![X8]:![X10]:(class_Orderings_Olinorder(X10)=>(~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X10),X8),X7)))<=>hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X10,X7),X8)))),file('/tmp/SRASS.s.p', fact_linorder__not__less)).
% fof(439, 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(484, 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(501, axiom,![X82]:![X29]:![X52]:![X10]:(c_Finite__Set_Ofinite(X10,X52)=>c_Finite__Set_Ofinite(X29,c_Set_Oimage(X10,X29,X82,X52))),file('/tmp/SRASS.s.p', fact_finite__imageI)).
% fof(583, plain,![X7]:![X8]:![X10]:(class_Orderings_Olinorder(X10)=>(~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X10),X8),X7)))<=>hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X10,X7),X8)))),inference(fof_simplification,[status(thm)],[355,theory(equality)])).
% fof(666, plain,![X12]:![X8]:![X10]:((~(hBOOL(hAPP(hAPP(c_member(X10),X8),X12)))|hBOOL(hAPP(X12,X8)))&(~(hBOOL(hAPP(X12,X8)))|hBOOL(hAPP(hAPP(c_member(X10),X8),X12)))),inference(fof_nnf,[status(thm)],[15])).
% fof(667, plain,![X13]:![X14]:![X15]:((~(hBOOL(hAPP(hAPP(c_member(X15),X14),X13)))|hBOOL(hAPP(X13,X14)))&(~(hBOOL(hAPP(X13,X14)))|hBOOL(hAPP(hAPP(c_member(X15),X14),X13)))),inference(variable_rename,[status(thm)],[666])).
% cnf(668,plain,(hBOOL(hAPP(hAPP(c_member(X1),X2),X3))|~hBOOL(hAPP(X3,X2))),inference(split_conjunct,[status(thm)],[667])).
% cnf(669,plain,(hBOOL(hAPP(X1,X2))|~hBOOL(hAPP(hAPP(c_member(X3),X2),X1))),inference(split_conjunct,[status(thm)],[667])).
% fof(1078, plain,![X22]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X22),X22)),inference(variable_rename,[status(thm)],[116])).
% cnf(1079,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1))),inference(split_conjunct,[status(thm)],[1078])).
% fof(1149, plain,![X17]:hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X17)=c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X17)),inference(variable_rename,[status(thm)],[131])).
% cnf(1150,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)],[1149])).
% fof(1178, plain,![X33]:((~(c_Finite__Set_Ofinite(tc_Nat_Onat,X33))|?[X34]:![X3]:(~(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),X33)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X34))))&(![X34]:?[X3]:(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X3),X33))&~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3),X34))))|c_Finite__Set_Ofinite(tc_Nat_Onat,X33))),inference(fof_nnf,[status(thm)],[142])).
% fof(1179, plain,![X35]:((~(c_Finite__Set_Ofinite(tc_Nat_Onat,X35))|?[X36]:![X37]:(~(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X37),X35)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X37),X36))))&(![X38]:?[X39]:(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X39),X35))&~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X39),X38))))|c_Finite__Set_Ofinite(tc_Nat_Onat,X35))),inference(variable_rename,[status(thm)],[1178])).
% fof(1180, plain,![X35]:((~(c_Finite__Set_Ofinite(tc_Nat_Onat,X35))|![X37]:(~(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X37),X35)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X37),esk12_1(X35)))))&(![X38]:(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk13_2(X35,X38)),X35))&~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk13_2(X35,X38)),X38))))|c_Finite__Set_Ofinite(tc_Nat_Onat,X35))),inference(skolemize,[status(esa)],[1179])).
% fof(1181, plain,![X35]:![X37]:![X38]:(((hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk13_2(X35,X38)),X35))&~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk13_2(X35,X38)),X38))))|c_Finite__Set_Ofinite(tc_Nat_Onat,X35))&((~(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X37),X35)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X37),esk12_1(X35))))|~(c_Finite__Set_Ofinite(tc_Nat_Onat,X35)))),inference(shift_quantors,[status(thm)],[1180])).
% fof(1182, plain,![X35]:![X37]:![X38]:(((hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),esk13_2(X35,X38)),X35))|c_Finite__Set_Ofinite(tc_Nat_Onat,X35))&(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk13_2(X35,X38)),X38)))|c_Finite__Set_Ofinite(tc_Nat_Onat,X35)))&((~(hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X37),X35)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X37),esk12_1(X35))))|~(c_Finite__Set_Ofinite(tc_Nat_Onat,X35)))),inference(distribute,[status(thm)],[1181])).
% cnf(1183,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),esk12_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)],[1182])).
% fof(1452, plain,![X12]:![X10]:(~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Finite__Set_Ocard(X10,X12))))|c_Finite__Set_Ofinite(X10,X12)),inference(fof_nnf,[status(thm)],[206])).
% fof(1453, plain,![X13]:![X14]:(~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Finite__Set_Ocard(X14,X13))))|c_Finite__Set_Ofinite(X14,X13)),inference(variable_rename,[status(thm)],[1452])).
% cnf(1454,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)],[1453])).
% fof(1470, plain,![X13]:![X14]:hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool),X13),c_Orderings_Otop__class_Otop(tc_fun(X14,tc_HOL_Obool)))),inference(variable_rename,[status(thm)],[213])).
% cnf(1471,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)],[1470])).
% fof(1484, plain,![X30]:![X31]:![X32]:![X33]:hBOOL(hAPP(hAPP(c_member(X33),hAPP(X32,X31)),c_Set_Oimage(X30,X33,X32,c_Orderings_Otop__class_Otop(tc_fun(X30,tc_HOL_Obool))))),inference(variable_rename,[status(thm)],[218])).
% cnf(1485,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)],[1484])).
% cnf(1493,plain,(class_Rings_Olinordered__semidom(tc_Nat_Onat)),inference(split_conjunct,[status(thm)],[226])).
% cnf(1499,plain,(class_Orderings_Olinorder(tc_Nat_Onat)),inference(split_conjunct,[status(thm)],[232])).
% fof(1548, plain,![X22]:hAPP(c_Nat_OSuc,X22)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X22),c_Groups_Oone__class_Oone(tc_Nat_Onat)),inference(variable_rename,[status(thm)],[247])).
% cnf(1549,plain,(hAPP(c_Nat_OSuc,X1)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))),inference(split_conjunct,[status(thm)],[1548])).
% cnf(1555,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)],[250])).
% fof(1564, plain,![X44]:![X10]:(~(class_Rings_Olinordered__semidom(X10))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X10),X44),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X10),X44),c_Groups_Oone__class_Oone(X10))))),inference(fof_nnf,[status(thm)],[254])).
% fof(1565, plain,![X45]:![X46]:(~(class_Rings_Olinordered__semidom(X46))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X46),X45),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X46),X45),c_Groups_Oone__class_Oone(X46))))),inference(variable_rename,[status(thm)],[1564])).
% cnf(1566,plain,(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Oone__class_Oone(X1))))|~class_Rings_Olinordered__semidom(X1)),inference(split_conjunct,[status(thm)],[1565])).
% fof(1654, plain,![X12]:![X11]:![X10]:(~(c_Finite__Set_Ofinite(X10,X11))|(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X10,tc_HOL_Obool),X12),X11)))|c_Finite__Set_Ofinite(X10,X12))),inference(fof_nnf,[status(thm)],[283])).
% fof(1655, plain,![X13]:![X14]:![X15]:(~(c_Finite__Set_Ofinite(X15,X14))|(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X15,tc_HOL_Obool),X13),X14)))|c_Finite__Set_Ofinite(X15,X13))),inference(variable_rename,[status(thm)],[1654])).
% cnf(1656,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)],[1655])).
% fof(1883, plain,![X7]:![X8]:![X10]:(~(class_Orderings_Olinorder(X10))|((hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X10),X8),X7))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X10,X7),X8)))&(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X10,X7),X8)))|~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X10),X8),X7)))))),inference(fof_nnf,[status(thm)],[583])).
% fof(1884, plain,![X11]:![X12]:![X13]:(~(class_Orderings_Olinorder(X13))|((hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X13),X12),X11))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X13,X11),X12)))&(~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X13,X11),X12)))|~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X13),X12),X11)))))),inference(variable_rename,[status(thm)],[1883])).
% fof(1885, plain,![X11]:![X12]:![X13]:(((hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X13),X12),X11))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X13,X11),X12)))|~(class_Orderings_Olinorder(X13)))&((~(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X13,X11),X12)))|~(hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X13),X12),X11))))|~(class_Orderings_Olinorder(X13)))),inference(distribute,[status(thm)],[1884])).
% cnf(1886,plain,(~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X1),X2),X3))|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))),inference(split_conjunct,[status(thm)],[1885])).
% fof(2170, 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)],[439])).
% fof(2171, 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)],[2170])).
% cnf(2172,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)],[2171])).
% cnf(2325,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)],[484])).
% fof(2370, plain,![X82]:![X29]:![X52]:![X10]:(~(c_Finite__Set_Ofinite(X10,X52))|c_Finite__Set_Ofinite(X29,c_Set_Oimage(X10,X29,X82,X52))),inference(fof_nnf,[status(thm)],[501])).
% fof(2371, plain,![X83]:![X84]:![X85]:![X86]:(~(c_Finite__Set_Ofinite(X86,X85))|c_Finite__Set_Ofinite(X84,c_Set_Oimage(X86,X84,X83,X85))),inference(variable_rename,[status(thm)],[2370])).
% cnf(2372,plain,(c_Finite__Set_Ofinite(X1,c_Set_Oimage(X2,X1,X3,X4))|~c_Finite__Set_Ofinite(X2,X4)),inference(split_conjunct,[status(thm)],[2371])).
% cnf(2800,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)],[1150,2325,theory(equality)])).
% cnf(4060,plain,(hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),esk12_1(X2)))|~c_Finite__Set_Ofinite(tc_Nat_Onat,X2)|~hBOOL(hAPP(X2,X1))),inference(spm,[status(thm)],[1183,668,theory(equality)])).
% cnf(5219,plain,(hBOOL(hAPP(c_Set_Oimage(X1,X2,X3,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),hAPP(X3,X4)))),inference(spm,[status(thm)],[669,1485,theory(equality)])).
% cnf(5995,plain,(~class_Orderings_Olinorder(X1)|~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X2),c_Groups_Oone__class_Oone(X1))),X2))|~class_Rings_Olinordered__semidom(X1)),inference(spm,[status(thm)],[1886,1566,theory(equality)])).
% cnf(6514,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)],[1656,1471,theory(equality)])).
% cnf(25602,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)],[1454,2800,theory(equality)])).
% cnf(26002,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)],[25602,1555,theory(equality)])).
% cnf(26007,plain,(c_Finite__Set_Ofinite(tc_Product__Type_Ounit,c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool)))|$false),inference(rw,[status(thm)],[26002,1079,theory(equality)])).
% cnf(26008,plain,(c_Finite__Set_Ofinite(tc_Product__Type_Ounit,c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool)))),inference(cn,[status(thm)],[26007,theory(equality)])).
% cnf(30845,plain,(c_Finite__Set_Ofinite(tc_Option_Ooption(X1),X2)|~c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),inference(spm,[status(thm)],[6514,2172,theory(equality)])).
% cnf(30846,plain,(c_Finite__Set_Ofinite(tc_Product__Type_Ounit,X1)),inference(spm,[status(thm)],[6514,26008,theory(equality)])).
% cnf(77104,plain,(c_Finite__Set_Ofinite(tc_Option_Ooption(tc_Product__Type_Ounit),X1)),inference(spm,[status(thm)],[30845,30846,theory(equality)])).
% cnf(77113,plain,(c_Finite__Set_Ofinite(tc_Option_Ooption(tc_Option_Ooption(tc_Product__Type_Ounit)),X1)),inference(spm,[status(thm)],[30845,77104,theory(equality)])).
% cnf(245246,plain,(~class_Rings_Olinordered__semidom(tc_Nat_Onat)|~class_Orderings_Olinorder(tc_Nat_Onat)|~c_Finite__Set_Ofinite(tc_Nat_Onat,X1)|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk12_1(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),inference(spm,[status(thm)],[5995,4060,theory(equality)])).
% cnf(245393,plain,($false|~class_Orderings_Olinorder(tc_Nat_Onat)|~c_Finite__Set_Ofinite(tc_Nat_Onat,X1)|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk12_1(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),inference(rw,[status(thm)],[245246,1493,theory(equality)])).
% cnf(245394,plain,($false|$false|~c_Finite__Set_Ofinite(tc_Nat_Onat,X1)|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk12_1(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),inference(rw,[status(thm)],[245393,1499,theory(equality)])).
% cnf(245395,plain,($false|$false|~c_Finite__Set_Ofinite(tc_Nat_Onat,X1)|~hBOOL(hAPP(X1,hAPP(c_Nat_OSuc,esk12_1(X1))))),inference(rw,[status(thm)],[245394,1549,theory(equality)])).
% cnf(245396,plain,(~c_Finite__Set_Ofinite(tc_Nat_Onat,X1)|~hBOOL(hAPP(X1,hAPP(c_Nat_OSuc,esk12_1(X1))))),inference(cn,[status(thm)],[245395,theory(equality)])).
% cnf(281574,plain,(~c_Finite__Set_Ofinite(tc_Nat_Onat,c_Set_Oimage(X1,X2,c_Nat_OSuc,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))),inference(spm,[status(thm)],[245396,5219,theory(equality)])).
% cnf(294738,plain,(~c_Finite__Set_Ofinite(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),inference(spm,[status(thm)],[281574,2372,theory(equality)])).
% cnf(294762,plain,($false),inference(spm,[status(thm)],[294738,77113,theory(equality)])).
% cnf(294787,plain,($false),294762,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 11897
% # ...of these trivial : 263
% # ...subsumed : 8591
% # ...remaining for further processing: 3043
% # Other redundant clauses eliminated : 644
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 76
% # Backward-rewritten : 66
% # Generated clauses : 201508
% # ...of the previous two non-trivial : 185732
% # Contextual simplify-reflections : 1675
% # Paramodulations : 200740
% # Factorizations : 8
% # Equation resolutions : 761
% # Current number of processed clauses: 2260
% # Positive orientable unit clauses: 403
% # Positive unorientable unit clauses: 41
% # Negative unit clauses : 119
% # Non-unit-clauses : 1697
% # Current number of unprocessed clauses: 167175
% # ...number of literals in the above : 522180
% # Clause-clause subsumption calls (NU) : 190545
% # Rec. Clause-clause subsumption calls : 126793
% # Unit Clause-clause subsumption calls : 8741
% # Rewrite failures with RHS unbound : 381
% # Indexed BW rewrite attempts : 15061
% # Indexed BW rewrite successes : 314
% # Backwards rewriting index: 1609 leaves, 2.68+/-8.208 terms/leaf
% # Paramod-from index: 374 leaves, 2.52+/-7.478 terms/leaf
% # Paramod-into index: 1451 leaves, 2.47+/-6.818 terms/leaf
% # -------------------------------------------------
% # User time : 9.668 s
% # System time : 0.284 s
% # Total time : 9.951 s
% # Maximum resident set size: 0 pages
% PrfWatch: 14.37 CPU 14.54 WC
% FINAL PrfWatch: 14.37 CPU 14.54 WC
% SZS output end Solution for /tmp/SystemOnTPTP11312/SCT166+1.tptp
%
%------------------------------------------------------------------------------