TSTP Solution File: GEO278+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : GEO278+1 : TPTP v5.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art09.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 : Wed Dec 29 05:28:08 EST 2010
% Result : Theorem 36.87s
% Output : Solution 36.87s
% 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/SystemOnTPTP25535/GEO278+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP25535/GEO278+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP25535/GEO278+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 25631
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
% PrfWatch: 7.89 CPU 8.02 WC
% PrfWatch: 9.89 CPU 10.03 WC
% PrfWatch: 11.88 CPU 12.03 WC
% PrfWatch: 13.87 CPU 14.04 WC
% PrfWatch: 15.86 CPU 16.04 WC
% PrfWatch: 17.85 CPU 18.05 WC
% PrfWatch: 19.84 CPU 20.05 WC
% PrfWatch: 21.83 CPU 22.06 WC
% PrfWatch: 23.81 CPU 24.06 WC
% # Preprocessing time : 0.075 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 25.80 CPU 26.07 WC
% PrfWatch: 27.79 CPU 28.07 WC
% PrfWatch: 29.79 CPU 30.07 WC
% PrfWatch: 31.78 CPU 32.08 WC
% PrfWatch: 33.77 CPU 34.08 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,((ron(vd1096,vd1102)&rcenter(vd1089,vd1102))&rcircle(vd1102)),file('/tmp/SRASS.s.p', 'and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))')).
% fof(6, axiom,![X21]:![X22]:![X23]:![X24]:(((((ron(X23,X21)&X23=X24)&rpoint(X24))&X21=X22)&rcircle(X22))=>?[X25]:((~(X25=X23)&ron(X25,X21))&rpoint(X25))),file('/tmp/SRASS.s.p', 'qu(cond(axiom(43), 0), imp(cond(axiom(43), 0)))')).
% fof(8, axiom,rpoint(vd1096),file('/tmp/SRASS.s.p', 'pred(229, 0)')).
% fof(9, axiom,rpoint(vd1089),file('/tmp/SRASS.s.p', 'pred(226, 0)')).
% fof(12, axiom,![X29]:![X30]:![X31]:![X32]:![X33]:(((((((vf(X31,X29)=vf(X31,X30)&ron(X30,X33))&ron(X29,X32))&rcenter(X31,X33))&rcenter(X31,X32))&?[X34]:(X30=X34&rpoint(X34)))&?[X35]:(X29=X35&rpoint(X35)))=>X32=X33),file('/tmp/SRASS.s.p', 'qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))')).
% fof(13, axiom,![X36]:![X37]:![X38]:![X39]:![X40]:![X41]:((((((ron(X40,X39)&X40=X41)&rpoint(X41))&rcenter(X38,X39))&X36=X37)&rpoint(X37))=>(vf(X38,X36)=vf(X38,X40)<=>ron(X36,X39))),file('/tmp/SRASS.s.p', 'qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))')).
% fof(20, axiom,![X64]:![X65]:(rcenter(X64,X65)=>rinside(X64,X65)),file('/tmp/SRASS.s.p', 'qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))')).
% fof(42, axiom,![X230]:![X231]:![X232]:![X233]:(((((rintersect(X232,X230)&X232=X233)&rline(X233))&X230=X231)&rcircle(X231))=>?[X234]:((ron(X234,X230)&ron(X234,X232))&rpoint(X234))),file('/tmp/SRASS.s.p', 'qu(cond(axiom(57), 0), imp(cond(axiom(57), 0)))')).
% fof(62, axiom,((ron(vd1089,vskolem1092)&ron(vd1080,vskolem1092))&rline(vskolem1092)),file('/tmp/SRASS.s.p', 'replace(replace(and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))))')).
% fof(83, axiom,![X483]:![X484]:![X485]:![X486]:![X487]:![X488]:((((((((ron(X483,X487)&rinside(X483,X485))&X487=X488)&rline(X488))&X485=X486)&rcircle(X486))&X483=X484)&rpoint(X484))=>rintersect(X487,X485)),file('/tmp/SRASS.s.p', 'qu(cond(axiom(131), 0), imp(cond(axiom(131), 0)))')).
% fof(130, conjecture,![X223]:(((ron(vd1096,X223)&rcenter(vd1089,X223))&rcircle(X223))=>X223=vd1102),file('/tmp/SRASS.s.p', 'qu(theu(the(231), 1), imp(the(231)))')).
% fof(131, negated_conjecture,~(![X223]:(((ron(vd1096,X223)&rcenter(vd1089,X223))&rcircle(X223))=>X223=vd1102)),inference(assume_negation,[status(cth)],[130])).
% cnf(163,plain,(rcircle(vd1102)),inference(split_conjunct,[status(thm)],[1])).
% cnf(164,plain,(rcenter(vd1089,vd1102)),inference(split_conjunct,[status(thm)],[1])).
% cnf(165,plain,(ron(vd1096,vd1102)),inference(split_conjunct,[status(thm)],[1])).
% fof(194, plain,![X21]:![X22]:![X23]:![X24]:(((((~(ron(X23,X21))|~(X23=X24))|~(rpoint(X24)))|~(X21=X22))|~(rcircle(X22)))|?[X25]:((~(X25=X23)&ron(X25,X21))&rpoint(X25))),inference(fof_nnf,[status(thm)],[6])).
% fof(195, plain,![X26]:![X27]:![X28]:![X29]:(((((~(ron(X28,X26))|~(X28=X29))|~(rpoint(X29)))|~(X26=X27))|~(rcircle(X27)))|?[X30]:((~(X30=X28)&ron(X30,X26))&rpoint(X30))),inference(variable_rename,[status(thm)],[194])).
% fof(196, plain,![X26]:![X27]:![X28]:![X29]:(((((~(ron(X28,X26))|~(X28=X29))|~(rpoint(X29)))|~(X26=X27))|~(rcircle(X27)))|((~(esk5_4(X26,X27,X28,X29)=X28)&ron(esk5_4(X26,X27,X28,X29),X26))&rpoint(esk5_4(X26,X27,X28,X29)))),inference(skolemize,[status(esa)],[195])).
% fof(197, plain,![X26]:![X27]:![X28]:![X29]:(((~(esk5_4(X26,X27,X28,X29)=X28)|((((~(ron(X28,X26))|~(X28=X29))|~(rpoint(X29)))|~(X26=X27))|~(rcircle(X27))))&(ron(esk5_4(X26,X27,X28,X29),X26)|((((~(ron(X28,X26))|~(X28=X29))|~(rpoint(X29)))|~(X26=X27))|~(rcircle(X27)))))&(rpoint(esk5_4(X26,X27,X28,X29))|((((~(ron(X28,X26))|~(X28=X29))|~(rpoint(X29)))|~(X26=X27))|~(rcircle(X27))))),inference(distribute,[status(thm)],[196])).
% cnf(198,plain,(rpoint(esk5_4(X2,X1,X4,X3))|~rcircle(X1)|X2!=X1|~rpoint(X3)|X4!=X3|~ron(X4,X2)),inference(split_conjunct,[status(thm)],[197])).
% cnf(199,plain,(ron(esk5_4(X2,X1,X4,X3),X2)|~rcircle(X1)|X2!=X1|~rpoint(X3)|X4!=X3|~ron(X4,X2)),inference(split_conjunct,[status(thm)],[197])).
% cnf(207,plain,(rpoint(vd1096)),inference(split_conjunct,[status(thm)],[8])).
% cnf(208,plain,(rpoint(vd1089)),inference(split_conjunct,[status(thm)],[9])).
% fof(211, plain,![X29]:![X30]:![X31]:![X32]:![X33]:(((((((~(vf(X31,X29)=vf(X31,X30))|~(ron(X30,X33)))|~(ron(X29,X32)))|~(rcenter(X31,X33)))|~(rcenter(X31,X32)))|![X34]:(~(X30=X34)|~(rpoint(X34))))|![X35]:(~(X29=X35)|~(rpoint(X35))))|X32=X33),inference(fof_nnf,[status(thm)],[12])).
% fof(212, plain,![X36]:![X37]:![X38]:![X39]:![X40]:(((((((~(vf(X38,X36)=vf(X38,X37))|~(ron(X37,X40)))|~(ron(X36,X39)))|~(rcenter(X38,X40)))|~(rcenter(X38,X39)))|![X41]:(~(X37=X41)|~(rpoint(X41))))|![X42]:(~(X36=X42)|~(rpoint(X42))))|X39=X40),inference(variable_rename,[status(thm)],[211])).
% fof(213, plain,![X36]:![X37]:![X38]:![X39]:![X40]:![X41]:![X42]:(((~(X36=X42)|~(rpoint(X42)))|((~(X37=X41)|~(rpoint(X41)))|((((~(vf(X38,X36)=vf(X38,X37))|~(ron(X37,X40)))|~(ron(X36,X39)))|~(rcenter(X38,X40)))|~(rcenter(X38,X39)))))|X39=X40),inference(shift_quantors,[status(thm)],[212])).
% cnf(214,plain,(X1=X2|~rcenter(X3,X1)|~rcenter(X3,X2)|~ron(X4,X1)|~ron(X5,X2)|vf(X3,X4)!=vf(X3,X5)|~rpoint(X6)|X5!=X6|~rpoint(X7)|X4!=X7),inference(split_conjunct,[status(thm)],[213])).
% fof(215, plain,![X36]:![X37]:![X38]:![X39]:![X40]:![X41]:((((((~(ron(X40,X39))|~(X40=X41))|~(rpoint(X41)))|~(rcenter(X38,X39)))|~(X36=X37))|~(rpoint(X37)))|((~(vf(X38,X36)=vf(X38,X40))|ron(X36,X39))&(~(ron(X36,X39))|vf(X38,X36)=vf(X38,X40)))),inference(fof_nnf,[status(thm)],[13])).
% fof(216, plain,![X42]:![X43]:![X44]:![X45]:![X46]:![X47]:((((((~(ron(X46,X45))|~(X46=X47))|~(rpoint(X47)))|~(rcenter(X44,X45)))|~(X42=X43))|~(rpoint(X43)))|((~(vf(X44,X42)=vf(X44,X46))|ron(X42,X45))&(~(ron(X42,X45))|vf(X44,X42)=vf(X44,X46)))),inference(variable_rename,[status(thm)],[215])).
% fof(217, plain,![X42]:![X43]:![X44]:![X45]:![X46]:![X47]:(((~(vf(X44,X42)=vf(X44,X46))|ron(X42,X45))|(((((~(ron(X46,X45))|~(X46=X47))|~(rpoint(X47)))|~(rcenter(X44,X45)))|~(X42=X43))|~(rpoint(X43))))&((~(ron(X42,X45))|vf(X44,X42)=vf(X44,X46))|(((((~(ron(X46,X45))|~(X46=X47))|~(rpoint(X47)))|~(rcenter(X44,X45)))|~(X42=X43))|~(rpoint(X43))))),inference(distribute,[status(thm)],[216])).
% cnf(218,plain,(vf(X3,X2)=vf(X3,X6)|~rpoint(X1)|X2!=X1|~rcenter(X3,X4)|~rpoint(X5)|X6!=X5|~ron(X6,X4)|~ron(X2,X4)),inference(split_conjunct,[status(thm)],[217])).
% cnf(219,plain,(ron(X2,X4)|~rpoint(X1)|X2!=X1|~rcenter(X3,X4)|~rpoint(X5)|X6!=X5|~ron(X6,X4)|vf(X3,X2)!=vf(X3,X6)),inference(split_conjunct,[status(thm)],[217])).
% fof(254, plain,![X64]:![X65]:(~(rcenter(X64,X65))|rinside(X64,X65)),inference(fof_nnf,[status(thm)],[20])).
% fof(255, plain,![X66]:![X67]:(~(rcenter(X66,X67))|rinside(X66,X67)),inference(variable_rename,[status(thm)],[254])).
% cnf(256,plain,(rinside(X1,X2)|~rcenter(X1,X2)),inference(split_conjunct,[status(thm)],[255])).
% fof(387, plain,![X230]:![X231]:![X232]:![X233]:(((((~(rintersect(X232,X230))|~(X232=X233))|~(rline(X233)))|~(X230=X231))|~(rcircle(X231)))|?[X234]:((ron(X234,X230)&ron(X234,X232))&rpoint(X234))),inference(fof_nnf,[status(thm)],[42])).
% fof(388, plain,![X235]:![X236]:![X237]:![X238]:(((((~(rintersect(X237,X235))|~(X237=X238))|~(rline(X238)))|~(X235=X236))|~(rcircle(X236)))|?[X239]:((ron(X239,X235)&ron(X239,X237))&rpoint(X239))),inference(variable_rename,[status(thm)],[387])).
% fof(389, plain,![X235]:![X236]:![X237]:![X238]:(((((~(rintersect(X237,X235))|~(X237=X238))|~(rline(X238)))|~(X235=X236))|~(rcircle(X236)))|((ron(esk23_4(X235,X236,X237,X238),X235)&ron(esk23_4(X235,X236,X237,X238),X237))&rpoint(esk23_4(X235,X236,X237,X238)))),inference(skolemize,[status(esa)],[388])).
% fof(390, plain,![X235]:![X236]:![X237]:![X238]:(((ron(esk23_4(X235,X236,X237,X238),X235)|((((~(rintersect(X237,X235))|~(X237=X238))|~(rline(X238)))|~(X235=X236))|~(rcircle(X236))))&(ron(esk23_4(X235,X236,X237,X238),X237)|((((~(rintersect(X237,X235))|~(X237=X238))|~(rline(X238)))|~(X235=X236))|~(rcircle(X236)))))&(rpoint(esk23_4(X235,X236,X237,X238))|((((~(rintersect(X237,X235))|~(X237=X238))|~(rline(X238)))|~(X235=X236))|~(rcircle(X236))))),inference(distribute,[status(thm)],[389])).
% cnf(391,plain,(rpoint(esk23_4(X2,X1,X4,X3))|~rcircle(X1)|X2!=X1|~rline(X3)|X4!=X3|~rintersect(X4,X2)),inference(split_conjunct,[status(thm)],[390])).
% cnf(393,plain,(ron(esk23_4(X2,X1,X4,X3),X2)|~rcircle(X1)|X2!=X1|~rline(X3)|X4!=X3|~rintersect(X4,X2)),inference(split_conjunct,[status(thm)],[390])).
% cnf(493,plain,(rline(vskolem1092)),inference(split_conjunct,[status(thm)],[62])).
% cnf(495,plain,(ron(vd1089,vskolem1092)),inference(split_conjunct,[status(thm)],[62])).
% fof(610, plain,![X483]:![X484]:![X485]:![X486]:![X487]:![X488]:((((((((~(ron(X483,X487))|~(rinside(X483,X485)))|~(X487=X488))|~(rline(X488)))|~(X485=X486))|~(rcircle(X486)))|~(X483=X484))|~(rpoint(X484)))|rintersect(X487,X485)),inference(fof_nnf,[status(thm)],[83])).
% fof(611, plain,![X489]:![X490]:![X491]:![X492]:![X493]:![X494]:((((((((~(ron(X489,X493))|~(rinside(X489,X491)))|~(X493=X494))|~(rline(X494)))|~(X491=X492))|~(rcircle(X492)))|~(X489=X490))|~(rpoint(X490)))|rintersect(X493,X491)),inference(variable_rename,[status(thm)],[610])).
% cnf(612,plain,(rintersect(X1,X2)|~rpoint(X3)|X4!=X3|~rcircle(X5)|X2!=X5|~rline(X6)|X1!=X6|~rinside(X4,X2)|~ron(X4,X1)),inference(split_conjunct,[status(thm)],[611])).
% fof(819, negated_conjecture,?[X223]:(((ron(vd1096,X223)&rcenter(vd1089,X223))&rcircle(X223))&~(X223=vd1102)),inference(fof_nnf,[status(thm)],[131])).
% fof(820, negated_conjecture,?[X224]:(((ron(vd1096,X224)&rcenter(vd1089,X224))&rcircle(X224))&~(X224=vd1102)),inference(variable_rename,[status(thm)],[819])).
% fof(821, negated_conjecture,(((ron(vd1096,esk51_0)&rcenter(vd1089,esk51_0))&rcircle(esk51_0))&~(esk51_0=vd1102)),inference(skolemize,[status(esa)],[820])).
% cnf(822,negated_conjecture,(esk51_0!=vd1102),inference(split_conjunct,[status(thm)],[821])).
% cnf(823,negated_conjecture,(rcircle(esk51_0)),inference(split_conjunct,[status(thm)],[821])).
% cnf(824,negated_conjecture,(rcenter(vd1089,esk51_0)),inference(split_conjunct,[status(thm)],[821])).
% cnf(825,negated_conjecture,(ron(vd1096,esk51_0)),inference(split_conjunct,[status(thm)],[821])).
% cnf(834,plain,(rinside(vd1089,vd1102)),inference(spm,[status(thm)],[256,164,theory(equality)])).
% cnf(961,plain,(rpoint(esk5_4(X1,X2,X3,X3))|X2!=X1|~rpoint(X3)|~rcircle(X2)|~ron(X3,X1)),inference(er,[status(thm)],[198,theory(equality)])).
% cnf(962,plain,(rpoint(esk5_4(X1,X1,X2,X2))|~rpoint(X2)|~rcircle(X1)|~ron(X2,X1)),inference(er,[status(thm)],[961,theory(equality)])).
% cnf(968,plain,(ron(esk5_4(X1,X2,X3,X3),X1)|X2!=X1|~rpoint(X3)|~rcircle(X2)|~ron(X3,X1)),inference(er,[status(thm)],[199,theory(equality)])).
% cnf(969,plain,(ron(esk5_4(X1,X1,X2,X2),X1)|~rpoint(X2)|~rcircle(X1)|~ron(X2,X1)),inference(er,[status(thm)],[968,theory(equality)])).
% cnf(978,plain,(rpoint(esk23_4(X1,X2,X3,X3))|X2!=X1|~rline(X3)|~rintersect(X3,X1)|~rcircle(X2)),inference(er,[status(thm)],[391,theory(equality)])).
% cnf(979,plain,(rpoint(esk23_4(X1,X1,X2,X2))|~rline(X2)|~rintersect(X2,X1)|~rcircle(X1)),inference(er,[status(thm)],[978,theory(equality)])).
% cnf(988,plain,(rintersect(X1,X2)|X2!=X3|X1!=X4|~rline(X4)|~rinside(X5,X2)|~rpoint(X5)|~rcircle(X3)|~ron(X5,X1)),inference(er,[status(thm)],[612,theory(equality)])).
% cnf(989,plain,(rintersect(X1,X2)|X1!=X3|~rline(X3)|~rinside(X4,X2)|~rpoint(X4)|~rcircle(X2)|~ron(X4,X1)),inference(er,[status(thm)],[988,theory(equality)])).
% cnf(990,plain,(rintersect(X1,X2)|~rline(X1)|~rinside(X3,X2)|~rpoint(X3)|~rcircle(X2)|~ron(X3,X1)),inference(er,[status(thm)],[989,theory(equality)])).
% cnf(997,plain,(ron(esk23_4(X1,X2,X3,X3),X1)|X2!=X1|~rline(X3)|~rintersect(X3,X1)|~rcircle(X2)),inference(er,[status(thm)],[393,theory(equality)])).
% cnf(998,plain,(ron(esk23_4(X1,X1,X2,X2),X1)|~rline(X2)|~rintersect(X2,X1)|~rcircle(X1)),inference(er,[status(thm)],[997,theory(equality)])).
% cnf(1041,plain,(vf(X1,X2)=vf(X1,X3)|X4!=X2|~rpoint(X3)|~rpoint(X4)|~rcenter(X1,X5)|~ron(X3,X5)|~ron(X2,X5)),inference(er,[status(thm)],[218,theory(equality)])).
% cnf(1042,plain,(vf(X1,X2)=vf(X1,X3)|~rpoint(X3)|~rpoint(X2)|~rcenter(X1,X4)|~ron(X3,X4)|~ron(X2,X4)),inference(er,[status(thm)],[1041,theory(equality)])).
% cnf(1043,plain,(ron(X1,X2)|vf(X3,X1)!=vf(X3,X4)|X5!=X1|~rpoint(X4)|~rpoint(X5)|~rcenter(X3,X2)|~ron(X4,X2)),inference(er,[status(thm)],[219,theory(equality)])).
% cnf(1044,plain,(ron(X1,X2)|vf(X3,X1)!=vf(X3,X4)|~rpoint(X4)|~rpoint(X1)|~rcenter(X3,X2)|~ron(X4,X2)),inference(er,[status(thm)],[1043,theory(equality)])).
% cnf(1104,plain,(X1=X2|vf(X3,X4)!=vf(X3,X5)|X4!=X6|~rpoint(X6)|~rpoint(X5)|~rcenter(X3,X2)|~rcenter(X3,X1)|~ron(X5,X2)|~ron(X4,X1)),inference(er,[status(thm)],[214,theory(equality)])).
% cnf(1105,plain,(X1=X2|vf(X3,X4)!=vf(X3,X5)|~rpoint(X4)|~rpoint(X5)|~rcenter(X3,X2)|~rcenter(X3,X1)|~ron(X5,X2)|~ron(X4,X1)),inference(er,[status(thm)],[1104,theory(equality)])).
% cnf(2394,negated_conjecture,(rpoint(esk5_4(esk51_0,esk51_0,vd1096,vd1096))|~rpoint(vd1096)|~rcircle(esk51_0)),inference(spm,[status(thm)],[962,825,theory(equality)])).
% cnf(2412,negated_conjecture,(rpoint(esk5_4(esk51_0,esk51_0,vd1096,vd1096))|$false|~rcircle(esk51_0)),inference(rw,[status(thm)],[2394,207,theory(equality)])).
% cnf(2413,negated_conjecture,(rpoint(esk5_4(esk51_0,esk51_0,vd1096,vd1096))|$false|$false),inference(rw,[status(thm)],[2412,823,theory(equality)])).
% cnf(2414,negated_conjecture,(rpoint(esk5_4(esk51_0,esk51_0,vd1096,vd1096))),inference(cn,[status(thm)],[2413,theory(equality)])).
% cnf(2450,negated_conjecture,(ron(esk5_4(esk51_0,esk51_0,vd1096,vd1096),esk51_0)|~rpoint(vd1096)|~rcircle(esk51_0)),inference(spm,[status(thm)],[969,825,theory(equality)])).
% cnf(2468,negated_conjecture,(ron(esk5_4(esk51_0,esk51_0,vd1096,vd1096),esk51_0)|$false|~rcircle(esk51_0)),inference(rw,[status(thm)],[2450,207,theory(equality)])).
% cnf(2469,negated_conjecture,(ron(esk5_4(esk51_0,esk51_0,vd1096,vd1096),esk51_0)|$false|$false),inference(rw,[status(thm)],[2468,823,theory(equality)])).
% cnf(2470,negated_conjecture,(ron(esk5_4(esk51_0,esk51_0,vd1096,vd1096),esk51_0)),inference(cn,[status(thm)],[2469,theory(equality)])).
% cnf(2700,plain,(rintersect(X1,vd1102)|~rline(X1)|~rpoint(vd1089)|~rcircle(vd1102)|~ron(vd1089,X1)),inference(spm,[status(thm)],[990,834,theory(equality)])).
% cnf(2708,plain,(rintersect(X1,vd1102)|~rline(X1)|$false|~rcircle(vd1102)|~ron(vd1089,X1)),inference(rw,[status(thm)],[2700,208,theory(equality)])).
% cnf(2709,plain,(rintersect(X1,vd1102)|~rline(X1)|$false|$false|~ron(vd1089,X1)),inference(rw,[status(thm)],[2708,163,theory(equality)])).
% cnf(2710,plain,(rintersect(X1,vd1102)|~rline(X1)|~ron(vd1089,X1)),inference(cn,[status(thm)],[2709,theory(equality)])).
% cnf(2885,plain,(rintersect(vskolem1092,vd1102)|~rline(vskolem1092)),inference(spm,[status(thm)],[2710,495,theory(equality)])).
% cnf(2893,plain,(rintersect(vskolem1092,vd1102)|$false),inference(rw,[status(thm)],[2885,493,theory(equality)])).
% cnf(2894,plain,(rintersect(vskolem1092,vd1102)),inference(cn,[status(thm)],[2893,theory(equality)])).
% cnf(2908,plain,(rpoint(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092))|~rline(vskolem1092)|~rcircle(vd1102)),inference(spm,[status(thm)],[979,2894,theory(equality)])).
% cnf(2936,plain,(rpoint(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092))|$false|~rcircle(vd1102)),inference(rw,[status(thm)],[2908,493,theory(equality)])).
% cnf(2937,plain,(rpoint(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092))|$false|$false),inference(rw,[status(thm)],[2936,163,theory(equality)])).
% cnf(2938,plain,(rpoint(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092))),inference(cn,[status(thm)],[2937,theory(equality)])).
% cnf(3122,plain,(ron(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092),vd1102)|~rline(vskolem1092)|~rcircle(vd1102)),inference(spm,[status(thm)],[998,2894,theory(equality)])).
% cnf(3128,plain,(ron(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092),vd1102)|$false|~rcircle(vd1102)),inference(rw,[status(thm)],[3122,493,theory(equality)])).
% cnf(3129,plain,(ron(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092),vd1102)|$false|$false),inference(rw,[status(thm)],[3128,163,theory(equality)])).
% cnf(3130,plain,(ron(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092),vd1102)),inference(cn,[status(thm)],[3129,theory(equality)])).
% cnf(3772,negated_conjecture,(vf(vd1089,X1)=vf(vd1089,X2)|~rpoint(X2)|~rpoint(X1)|~ron(X2,esk51_0)|~ron(X1,esk51_0)),inference(spm,[status(thm)],[1042,824,theory(equality)])).
% cnf(3773,plain,(vf(vd1089,X1)=vf(vd1089,X2)|~rpoint(X2)|~rpoint(X1)|~ron(X2,vd1102)|~ron(X1,vd1102)),inference(spm,[status(thm)],[1042,164,theory(equality)])).
% cnf(5260,plain,(X1=X2|~rpoint(X3)|~rcenter(X4,X2)|~rcenter(X4,X1)|~ron(X3,X2)|~ron(X3,X1)),inference(er,[status(thm)],[1105,theory(equality)])).
% cnf(89535,negated_conjecture,(vf(vd1089,X1)=vf(vd1089,vd1096)|~rpoint(vd1096)|~rpoint(X1)|~ron(X1,esk51_0)),inference(spm,[status(thm)],[3772,825,theory(equality)])).
% cnf(89658,negated_conjecture,(vf(vd1089,X1)=vf(vd1089,vd1096)|$false|~rpoint(X1)|~ron(X1,esk51_0)),inference(rw,[status(thm)],[89535,207,theory(equality)])).
% cnf(89659,negated_conjecture,(vf(vd1089,X1)=vf(vd1089,vd1096)|~rpoint(X1)|~ron(X1,esk51_0)),inference(cn,[status(thm)],[89658,theory(equality)])).
% cnf(89676,negated_conjecture,(vf(vd1089,esk5_4(esk51_0,esk51_0,vd1096,vd1096))=vf(vd1089,vd1096)|~rpoint(esk5_4(esk51_0,esk51_0,vd1096,vd1096))),inference(spm,[status(thm)],[89659,2470,theory(equality)])).
% cnf(90034,negated_conjecture,(vf(vd1089,esk5_4(esk51_0,esk51_0,vd1096,vd1096))=vf(vd1089,vd1096)|$false),inference(rw,[status(thm)],[89676,2414,theory(equality)])).
% cnf(90035,negated_conjecture,(vf(vd1089,esk5_4(esk51_0,esk51_0,vd1096,vd1096))=vf(vd1089,vd1096)),inference(cn,[status(thm)],[90034,theory(equality)])).
% cnf(90141,negated_conjecture,(ron(X1,X2)|vf(vd1089,X1)!=vf(vd1089,vd1096)|~rpoint(esk5_4(esk51_0,esk51_0,vd1096,vd1096))|~rpoint(X1)|~rcenter(vd1089,X2)|~ron(esk5_4(esk51_0,esk51_0,vd1096,vd1096),X2)),inference(spm,[status(thm)],[1044,90035,theory(equality)])).
% cnf(90163,negated_conjecture,(ron(X1,X2)|vf(vd1089,X1)!=vf(vd1089,vd1096)|$false|~rpoint(X1)|~rcenter(vd1089,X2)|~ron(esk5_4(esk51_0,esk51_0,vd1096,vd1096),X2)),inference(rw,[status(thm)],[90141,2414,theory(equality)])).
% cnf(90164,negated_conjecture,(ron(X1,X2)|vf(vd1089,X1)!=vf(vd1089,vd1096)|~rpoint(X1)|~rcenter(vd1089,X2)|~ron(esk5_4(esk51_0,esk51_0,vd1096,vd1096),X2)),inference(cn,[status(thm)],[90163,theory(equality)])).
% cnf(92707,plain,(vf(vd1089,X1)=vf(vd1089,vd1096)|~rpoint(vd1096)|~rpoint(X1)|~ron(X1,vd1102)),inference(spm,[status(thm)],[3773,165,theory(equality)])).
% cnf(92830,plain,(vf(vd1089,X1)=vf(vd1089,vd1096)|$false|~rpoint(X1)|~ron(X1,vd1102)),inference(rw,[status(thm)],[92707,207,theory(equality)])).
% cnf(92831,plain,(vf(vd1089,X1)=vf(vd1089,vd1096)|~rpoint(X1)|~ron(X1,vd1102)),inference(cn,[status(thm)],[92830,theory(equality)])).
% cnf(92834,plain,(vf(vd1089,esk23_4(vd1102,vd1102,vskolem1092,vskolem1092))=vf(vd1089,vd1096)|~rpoint(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092))),inference(spm,[status(thm)],[92831,3130,theory(equality)])).
% cnf(93189,plain,(vf(vd1089,esk23_4(vd1102,vd1102,vskolem1092,vskolem1092))=vf(vd1089,vd1096)|$false),inference(rw,[status(thm)],[92834,2938,theory(equality)])).
% cnf(93190,plain,(vf(vd1089,esk23_4(vd1102,vd1102,vskolem1092,vskolem1092))=vf(vd1089,vd1096)),inference(cn,[status(thm)],[93189,theory(equality)])).
% cnf(104929,negated_conjecture,(ron(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092),X1)|~rpoint(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092))|~rcenter(vd1089,X1)|~ron(esk5_4(esk51_0,esk51_0,vd1096,vd1096),X1)),inference(spm,[status(thm)],[90164,93190,theory(equality)])).
% cnf(105059,negated_conjecture,(ron(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092),X1)|$false|~rcenter(vd1089,X1)|~ron(esk5_4(esk51_0,esk51_0,vd1096,vd1096),X1)),inference(rw,[status(thm)],[104929,2938,theory(equality)])).
% cnf(105060,negated_conjecture,(ron(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092),X1)|~rcenter(vd1089,X1)|~ron(esk5_4(esk51_0,esk51_0,vd1096,vd1096),X1)),inference(cn,[status(thm)],[105059,theory(equality)])).
% cnf(135163,negated_conjecture,(ron(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092),esk51_0)|~ron(esk5_4(esk51_0,esk51_0,vd1096,vd1096),esk51_0)),inference(spm,[status(thm)],[105060,824,theory(equality)])).
% cnf(135167,negated_conjecture,(ron(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092),esk51_0)|$false),inference(rw,[status(thm)],[135163,2470,theory(equality)])).
% cnf(135168,negated_conjecture,(ron(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092),esk51_0)),inference(cn,[status(thm)],[135167,theory(equality)])).
% cnf(493589,negated_conjecture,(X1=esk51_0|~rpoint(X2)|~rcenter(vd1089,X1)|~ron(X2,esk51_0)|~ron(X2,X1)),inference(spm,[status(thm)],[5260,824,theory(equality)])).
% cnf(493593,negated_conjecture,(vd1102=esk51_0|~rpoint(X1)|~ron(X1,esk51_0)|~ron(X1,vd1102)),inference(spm,[status(thm)],[493589,164,theory(equality)])).
% cnf(493596,negated_conjecture,(~rpoint(X1)|~ron(X1,esk51_0)|~ron(X1,vd1102)),inference(sr,[status(thm)],[493593,822,theory(equality)])).
% cnf(493604,negated_conjecture,(~rpoint(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092))|~ron(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092),vd1102)),inference(spm,[status(thm)],[493596,135168,theory(equality)])).
% cnf(495430,negated_conjecture,($false|~ron(esk23_4(vd1102,vd1102,vskolem1092,vskolem1092),vd1102)),inference(rw,[status(thm)],[493604,2938,theory(equality)])).
% cnf(495431,negated_conjecture,($false|$false),inference(rw,[status(thm)],[495430,3130,theory(equality)])).
% cnf(495432,negated_conjecture,($false),inference(cn,[status(thm)],[495431,theory(equality)])).
% cnf(495433,negated_conjecture,($false),495432,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 8120
% # ...of these trivial : 35
% # ...subsumed : 939
% # ...remaining for further processing: 7146
% # Other redundant clauses eliminated : 1094
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 148
% # Backward-rewritten : 202
% # Generated clauses : 295037
% # ...of the previous two non-trivial : 291902
% # Contextual simplify-reflections : 609
% # Paramodulations : 294769
% # Factorizations : 8
% # Equation resolutions : 1119
% # Current number of processed clauses: 6561
% # Positive orientable unit clauses: 4477
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 47
% # Non-unit-clauses : 2037
% # Current number of unprocessed clauses: 284004
% # ...number of literals in the above : 2301137
% # Clause-clause subsumption calls (NU) : 113115
% # Rec. Clause-clause subsumption calls : 66518
% # Unit Clause-clause subsumption calls : 17400
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 2569840
% # Indexed BW rewrite successes : 126
% # Backwards rewriting index: 1007 leaves, 9.59+/-98.382 terms/leaf
% # Paramod-from index: 280 leaves, 16.76+/-131.698 terms/leaf
% # Paramod-into index: 542 leaves, 14.92+/-128.960 terms/leaf
% # -------------------------------------------------
% # User time : 24.552 s
% # System time : 0.657 s
% # Total time : 25.209 s
% # Maximum resident set size: 0 pages
% PrfWatch: 35.32 CPU 35.66 WC
% FINAL PrfWatch: 35.32 CPU 35.66 WC
% SZS output end Solution for /tmp/SystemOnTPTP25535/GEO278+1.tptp
%
%------------------------------------------------------------------------------