TSTP Solution File: GEO332+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : GEO332+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 : art02.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 05:36:25 EST 2010
% Result : Theorem 13.74s
% Output : Solution 13.74s
% 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/SystemOnTPTP17092/GEO332+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP17092/GEO332+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP17092/GEO332+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 17188
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.94 CPU 2.02 WC
% PrfWatch: 3.93 CPU 4.03 WC
% PrfWatch: 5.92 CPU 6.03 WC
% PrfWatch: 7.90 CPU 8.04 WC
% # Preprocessing time : 0.082 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 9.89 CPU 10.04 WC
% PrfWatch: 11.89 CPU 12.04 WC
% # SZS output start CNFRefutation.
% fof(3, axiom,~(vd1361=vd1363),file('/tmp/SRASS.s.p', 'pred(386, 8)')).
% fof(4, axiom,~(vd1361=vd1362),file('/tmp/SRASS.s.p', 'pred(386, 7)')).
% fof(5, axiom,?[X1]:(vd1363=X1&rpoint(X1)),file('/tmp/SRASS.s.p', 'qe(s3(plural(386)))')).
% fof(6, axiom,?[X2]:(vd1362=X2&rpoint(X2)),file('/tmp/SRASS.s.p', 'qe(s2(plural(386)))')).
% fof(7, axiom,?[X3]:(vd1361=X3&rpoint(X3)),file('/tmp/SRASS.s.p', 'qe(s1(plural(386)))')).
% fof(8, axiom,![X4]:![X5]:((?[X6]:(X5=X6&rpoint(X6))&?[X7]:(X4=X7&rpoint(X7)))=>vf(X4,X5)=vf(X5,X4)),file('/tmp/SRASS.s.p', 'qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))')).
% fof(10, axiom,![X16]:![X17]:![X18]:((((rR(X17,X16,X18)&?[X19]:(X18=X19&rpoint(X19)))&?[X20]:(X17=X20&rpoint(X20)))&?[X21]:(X16=X21&rpoint(X21)))=>(((~(rR(X16,X17,X18))&~(X16=X18))&~(X16=X17))&rR(X17,X18,X16))),file('/tmp/SRASS.s.p', 'qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))')).
% fof(17, axiom,rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),file('/tmp/SRASS.s.p', 'holds(389, 1370, 0)')).
% fof(21, axiom,![X72]:![X73]:![X74]:((((rR(X73,X72,X74)&?[X75]:(X74=X75&rpoint(X75)))&?[X76]:(X73=X76&rpoint(X76)))&?[X77]:(X72=X77&rpoint(X77)))=>vplus(vf(X72,X73),vf(X73,X74))=vf(X72,X74)),file('/tmp/SRASS.s.p', 'qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))')).
% fof(22, axiom,![X78]:![X79]:((?[X80]:(X79=X80&rpoint(X80))&?[X81]:(X78=X81&rpoint(X81)))=>?[X82]:(vf(X78,X79)=X82&rreal(X82))),file('/tmp/SRASS.s.p', 'qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))')).
% fof(29, axiom,![X97]:![X98]:![X99]:![X100]:![X101]:![X102]:![X103]:![X104]:(((((((((((rless(vf(X101,X103),vf(X97,X99))&~(X101=X103))&~(X97=X99))&X103=X104)&rpoint(X104))&X101=X102)&rpoint(X102))&X99=X100)&rpoint(X100))&X97=X98)&rpoint(X98))=>rR(vskolem1120(X97,X98,X99,X100,X101,X102,X103,X104),X97,X99)),file('/tmp/SRASS.s.p', 'ass(cond(goal(238), 0), 1)')).
% fof(62, axiom,![X97]:![X98]:![X99]:![X100]:![X101]:![X102]:![X103]:![X104]:(((((((((((rless(vf(X101,X103),vf(X97,X99))&~(X101=X103))&~(X97=X99))&X103=X104)&rpoint(X104))&X101=X102)&rpoint(X102))&X99=X100)&rpoint(X100))&X97=X98)&rpoint(X98))=>vf(X97,vskolem1120(X97,X98,X99,X100,X101,X102,X103,X104))=vf(X101,X103)),file('/tmp/SRASS.s.p', 'ass(cond(goal(238), 0), 0)')).
% fof(63, axiom,![X97]:![X98]:![X99]:![X100]:![X101]:![X102]:![X103]:![X104]:(((((((((((rless(vf(X101,X103),vf(X97,X99))&~(X101=X103))&~(X97=X99))&X103=X104)&rpoint(X104))&X101=X102)&rpoint(X102))&X99=X100)&rpoint(X100))&X97=X98)&rpoint(X98))=>rpoint(vskolem1120(X97,X98,X99,X100,X101,X102,X103,X104))),file('/tmp/SRASS.s.p', 'ass(cond(goal(238), 0), 2)')).
% fof(85, axiom,![X518]:![X519]:![X520]:![X521]:((((X520=X521&rreal(X521))&X518=X519)&rreal(X519))=>vplus(X518,X520)=vplus(X520,X518)),file('/tmp/SRASS.s.p', 'qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))')).
% fof(125, conjecture,?[X771]:((vf(vd1362,X771)=vf(vd1361,vd1363)&rR(X771,vd1362,vd1361))&rpoint(X771)),file('/tmp/SRASS.s.p', 'qe(390)')).
% fof(126, negated_conjecture,~(?[X771]:((vf(vd1362,X771)=vf(vd1361,vd1363)&rR(X771,vd1362,vd1361))&rpoint(X771))),inference(assume_negation,[status(cth)],[125])).
% fof(127, plain,![X16]:![X17]:![X18]:((((rR(X17,X16,X18)&?[X19]:(X18=X19&rpoint(X19)))&?[X20]:(X17=X20&rpoint(X20)))&?[X21]:(X16=X21&rpoint(X21)))=>(((~(rR(X16,X17,X18))&~(X16=X18))&~(X16=X17))&rR(X17,X18,X16))),inference(fof_simplification,[status(thm)],[10,theory(equality)])).
% cnf(160,plain,(vd1361!=vd1363),inference(split_conjunct,[status(thm)],[3])).
% cnf(161,plain,(vd1361!=vd1362),inference(split_conjunct,[status(thm)],[4])).
% fof(162, plain,?[X2]:(vd1363=X2&rpoint(X2)),inference(variable_rename,[status(thm)],[5])).
% fof(163, plain,(vd1363=esk1_0&rpoint(esk1_0)),inference(skolemize,[status(esa)],[162])).
% cnf(164,plain,(rpoint(esk1_0)),inference(split_conjunct,[status(thm)],[163])).
% cnf(165,plain,(vd1363=esk1_0),inference(split_conjunct,[status(thm)],[163])).
% fof(166, plain,?[X3]:(vd1362=X3&rpoint(X3)),inference(variable_rename,[status(thm)],[6])).
% fof(167, plain,(vd1362=esk2_0&rpoint(esk2_0)),inference(skolemize,[status(esa)],[166])).
% cnf(168,plain,(rpoint(esk2_0)),inference(split_conjunct,[status(thm)],[167])).
% cnf(169,plain,(vd1362=esk2_0),inference(split_conjunct,[status(thm)],[167])).
% fof(170, plain,?[X4]:(vd1361=X4&rpoint(X4)),inference(variable_rename,[status(thm)],[7])).
% fof(171, plain,(vd1361=esk3_0&rpoint(esk3_0)),inference(skolemize,[status(esa)],[170])).
% cnf(172,plain,(rpoint(esk3_0)),inference(split_conjunct,[status(thm)],[171])).
% cnf(173,plain,(vd1361=esk3_0),inference(split_conjunct,[status(thm)],[171])).
% fof(174, plain,![X4]:![X5]:((![X6]:(~(X5=X6)|~(rpoint(X6)))|![X7]:(~(X4=X7)|~(rpoint(X7))))|vf(X4,X5)=vf(X5,X4)),inference(fof_nnf,[status(thm)],[8])).
% fof(175, plain,![X8]:![X9]:((![X10]:(~(X9=X10)|~(rpoint(X10)))|![X11]:(~(X8=X11)|~(rpoint(X11))))|vf(X8,X9)=vf(X9,X8)),inference(variable_rename,[status(thm)],[174])).
% fof(176, plain,![X8]:![X9]:![X10]:![X11]:(((~(X8=X11)|~(rpoint(X11)))|(~(X9=X10)|~(rpoint(X10))))|vf(X8,X9)=vf(X9,X8)),inference(shift_quantors,[status(thm)],[175])).
% cnf(177,plain,(vf(X1,X2)=vf(X2,X1)|~rpoint(X3)|X2!=X3|~rpoint(X4)|X1!=X4),inference(split_conjunct,[status(thm)],[176])).
% fof(182, plain,![X16]:![X17]:![X18]:((((~(rR(X17,X16,X18))|![X19]:(~(X18=X19)|~(rpoint(X19))))|![X20]:(~(X17=X20)|~(rpoint(X20))))|![X21]:(~(X16=X21)|~(rpoint(X21))))|(((~(rR(X16,X17,X18))&~(X16=X18))&~(X16=X17))&rR(X17,X18,X16))),inference(fof_nnf,[status(thm)],[127])).
% fof(183, plain,![X22]:![X23]:![X24]:((((~(rR(X23,X22,X24))|![X25]:(~(X24=X25)|~(rpoint(X25))))|![X26]:(~(X23=X26)|~(rpoint(X26))))|![X27]:(~(X22=X27)|~(rpoint(X27))))|(((~(rR(X22,X23,X24))&~(X22=X24))&~(X22=X23))&rR(X23,X24,X22))),inference(variable_rename,[status(thm)],[182])).
% fof(184, plain,![X22]:![X23]:![X24]:![X25]:![X26]:![X27]:(((~(X22=X27)|~(rpoint(X27)))|((~(X23=X26)|~(rpoint(X26)))|((~(X24=X25)|~(rpoint(X25)))|~(rR(X23,X22,X24)))))|(((~(rR(X22,X23,X24))&~(X22=X24))&~(X22=X23))&rR(X23,X24,X22))),inference(shift_quantors,[status(thm)],[183])).
% fof(185, plain,![X22]:![X23]:![X24]:![X25]:![X26]:![X27]:((((~(rR(X22,X23,X24))|((~(X22=X27)|~(rpoint(X27)))|((~(X23=X26)|~(rpoint(X26)))|((~(X24=X25)|~(rpoint(X25)))|~(rR(X23,X22,X24))))))&(~(X22=X24)|((~(X22=X27)|~(rpoint(X27)))|((~(X23=X26)|~(rpoint(X26)))|((~(X24=X25)|~(rpoint(X25)))|~(rR(X23,X22,X24)))))))&(~(X22=X23)|((~(X22=X27)|~(rpoint(X27)))|((~(X23=X26)|~(rpoint(X26)))|((~(X24=X25)|~(rpoint(X25)))|~(rR(X23,X22,X24)))))))&(rR(X23,X24,X22)|((~(X22=X27)|~(rpoint(X27)))|((~(X23=X26)|~(rpoint(X26)))|((~(X24=X25)|~(rpoint(X25)))|~(rR(X23,X22,X24))))))),inference(distribute,[status(thm)],[184])).
% cnf(186,plain,(rR(X1,X3,X2)|~rR(X1,X2,X3)|~rpoint(X4)|X3!=X4|~rpoint(X5)|X1!=X5|~rpoint(X6)|X2!=X6),inference(split_conjunct,[status(thm)],[185])).
% cnf(231,plain,(rless(vf(vd1361,vd1363),vf(vd1361,vd1362))),inference(split_conjunct,[status(thm)],[17])).
% fof(241, plain,![X72]:![X73]:![X74]:((((~(rR(X73,X72,X74))|![X75]:(~(X74=X75)|~(rpoint(X75))))|![X76]:(~(X73=X76)|~(rpoint(X76))))|![X77]:(~(X72=X77)|~(rpoint(X77))))|vplus(vf(X72,X73),vf(X73,X74))=vf(X72,X74)),inference(fof_nnf,[status(thm)],[21])).
% fof(242, plain,![X78]:![X79]:![X80]:((((~(rR(X79,X78,X80))|![X81]:(~(X80=X81)|~(rpoint(X81))))|![X82]:(~(X79=X82)|~(rpoint(X82))))|![X83]:(~(X78=X83)|~(rpoint(X83))))|vplus(vf(X78,X79),vf(X79,X80))=vf(X78,X80)),inference(variable_rename,[status(thm)],[241])).
% fof(243, plain,![X78]:![X79]:![X80]:![X81]:![X82]:![X83]:(((~(X78=X83)|~(rpoint(X83)))|((~(X79=X82)|~(rpoint(X82)))|((~(X80=X81)|~(rpoint(X81)))|~(rR(X79,X78,X80)))))|vplus(vf(X78,X79),vf(X79,X80))=vf(X78,X80)),inference(shift_quantors,[status(thm)],[242])).
% cnf(244,plain,(vplus(vf(X1,X2),vf(X2,X3))=vf(X1,X3)|~rR(X2,X1,X3)|~rpoint(X4)|X3!=X4|~rpoint(X5)|X2!=X5|~rpoint(X6)|X1!=X6),inference(split_conjunct,[status(thm)],[243])).
% fof(245, plain,![X78]:![X79]:((![X80]:(~(X79=X80)|~(rpoint(X80)))|![X81]:(~(X78=X81)|~(rpoint(X81))))|?[X82]:(vf(X78,X79)=X82&rreal(X82))),inference(fof_nnf,[status(thm)],[22])).
% fof(246, plain,![X83]:![X84]:((![X85]:(~(X84=X85)|~(rpoint(X85)))|![X86]:(~(X83=X86)|~(rpoint(X86))))|?[X87]:(vf(X83,X84)=X87&rreal(X87))),inference(variable_rename,[status(thm)],[245])).
% fof(247, plain,![X83]:![X84]:((![X85]:(~(X84=X85)|~(rpoint(X85)))|![X86]:(~(X83=X86)|~(rpoint(X86))))|(vf(X83,X84)=esk8_2(X83,X84)&rreal(esk8_2(X83,X84)))),inference(skolemize,[status(esa)],[246])).
% fof(248, plain,![X83]:![X84]:![X85]:![X86]:(((~(X83=X86)|~(rpoint(X86)))|(~(X84=X85)|~(rpoint(X85))))|(vf(X83,X84)=esk8_2(X83,X84)&rreal(esk8_2(X83,X84)))),inference(shift_quantors,[status(thm)],[247])).
% fof(249, plain,![X83]:![X84]:![X85]:![X86]:((vf(X83,X84)=esk8_2(X83,X84)|((~(X83=X86)|~(rpoint(X86)))|(~(X84=X85)|~(rpoint(X85)))))&(rreal(esk8_2(X83,X84))|((~(X83=X86)|~(rpoint(X86)))|(~(X84=X85)|~(rpoint(X85)))))),inference(distribute,[status(thm)],[248])).
% cnf(250,plain,(rreal(esk8_2(X4,X2))|~rpoint(X1)|X2!=X1|~rpoint(X3)|X4!=X3),inference(split_conjunct,[status(thm)],[249])).
% cnf(251,plain,(vf(X4,X2)=esk8_2(X4,X2)|~rpoint(X1)|X2!=X1|~rpoint(X3)|X4!=X3),inference(split_conjunct,[status(thm)],[249])).
% fof(275, plain,![X97]:![X98]:![X99]:![X100]:![X101]:![X102]:![X103]:![X104]:(((((((((((~(rless(vf(X101,X103),vf(X97,X99)))|X101=X103)|X97=X99)|~(X103=X104))|~(rpoint(X104)))|~(X101=X102))|~(rpoint(X102)))|~(X99=X100))|~(rpoint(X100)))|~(X97=X98))|~(rpoint(X98)))|rR(vskolem1120(X97,X98,X99,X100,X101,X102,X103,X104),X97,X99)),inference(fof_nnf,[status(thm)],[29])).
% fof(276, plain,![X105]:![X106]:![X107]:![X108]:![X109]:![X110]:![X111]:![X112]:(((((((((((~(rless(vf(X109,X111),vf(X105,X107)))|X109=X111)|X105=X107)|~(X111=X112))|~(rpoint(X112)))|~(X109=X110))|~(rpoint(X110)))|~(X107=X108))|~(rpoint(X108)))|~(X105=X106))|~(rpoint(X106)))|rR(vskolem1120(X105,X106,X107,X108,X109,X110,X111,X112),X105,X107)),inference(variable_rename,[status(thm)],[275])).
% cnf(277,plain,(rR(vskolem1120(X1,X2,X3,X4,X5,X6,X7,X8),X1,X3)|X1=X3|X5=X7|~rpoint(X2)|X1!=X2|~rpoint(X4)|X3!=X4|~rpoint(X6)|X5!=X6|~rpoint(X8)|X7!=X8|~rless(vf(X5,X7),vf(X1,X3))),inference(split_conjunct,[status(thm)],[276])).
% fof(469, plain,![X97]:![X98]:![X99]:![X100]:![X101]:![X102]:![X103]:![X104]:(((((((((((~(rless(vf(X101,X103),vf(X97,X99)))|X101=X103)|X97=X99)|~(X103=X104))|~(rpoint(X104)))|~(X101=X102))|~(rpoint(X102)))|~(X99=X100))|~(rpoint(X100)))|~(X97=X98))|~(rpoint(X98)))|vf(X97,vskolem1120(X97,X98,X99,X100,X101,X102,X103,X104))=vf(X101,X103)),inference(fof_nnf,[status(thm)],[62])).
% fof(470, plain,![X105]:![X106]:![X107]:![X108]:![X109]:![X110]:![X111]:![X112]:(((((((((((~(rless(vf(X109,X111),vf(X105,X107)))|X109=X111)|X105=X107)|~(X111=X112))|~(rpoint(X112)))|~(X109=X110))|~(rpoint(X110)))|~(X107=X108))|~(rpoint(X108)))|~(X105=X106))|~(rpoint(X106)))|vf(X105,vskolem1120(X105,X106,X107,X108,X109,X110,X111,X112))=vf(X109,X111)),inference(variable_rename,[status(thm)],[469])).
% cnf(471,plain,(vf(X1,vskolem1120(X1,X2,X3,X4,X5,X6,X7,X8))=vf(X5,X7)|X1=X3|X5=X7|~rpoint(X2)|X1!=X2|~rpoint(X4)|X3!=X4|~rpoint(X6)|X5!=X6|~rpoint(X8)|X7!=X8|~rless(vf(X5,X7),vf(X1,X3))),inference(split_conjunct,[status(thm)],[470])).
% fof(472, plain,![X97]:![X98]:![X99]:![X100]:![X101]:![X102]:![X103]:![X104]:(((((((((((~(rless(vf(X101,X103),vf(X97,X99)))|X101=X103)|X97=X99)|~(X103=X104))|~(rpoint(X104)))|~(X101=X102))|~(rpoint(X102)))|~(X99=X100))|~(rpoint(X100)))|~(X97=X98))|~(rpoint(X98)))|rpoint(vskolem1120(X97,X98,X99,X100,X101,X102,X103,X104))),inference(fof_nnf,[status(thm)],[63])).
% fof(473, plain,![X105]:![X106]:![X107]:![X108]:![X109]:![X110]:![X111]:![X112]:(((((((((((~(rless(vf(X109,X111),vf(X105,X107)))|X109=X111)|X105=X107)|~(X111=X112))|~(rpoint(X112)))|~(X109=X110))|~(rpoint(X110)))|~(X107=X108))|~(rpoint(X108)))|~(X105=X106))|~(rpoint(X106)))|rpoint(vskolem1120(X105,X106,X107,X108,X109,X110,X111,X112))),inference(variable_rename,[status(thm)],[472])).
% cnf(474,plain,(rpoint(vskolem1120(X1,X2,X3,X4,X5,X6,X7,X8))|X1=X3|X5=X7|~rpoint(X2)|X1!=X2|~rpoint(X4)|X3!=X4|~rpoint(X6)|X5!=X6|~rpoint(X8)|X7!=X8|~rless(vf(X5,X7),vf(X1,X3))),inference(split_conjunct,[status(thm)],[473])).
% fof(621, plain,![X518]:![X519]:![X520]:![X521]:((((~(X520=X521)|~(rreal(X521)))|~(X518=X519))|~(rreal(X519)))|vplus(X518,X520)=vplus(X520,X518)),inference(fof_nnf,[status(thm)],[85])).
% fof(622, plain,![X522]:![X523]:![X524]:![X525]:((((~(X524=X525)|~(rreal(X525)))|~(X522=X523))|~(rreal(X523)))|vplus(X522,X524)=vplus(X524,X522)),inference(variable_rename,[status(thm)],[621])).
% cnf(623,plain,(vplus(X1,X2)=vplus(X2,X1)|~rreal(X3)|X1!=X3|~rreal(X4)|X2!=X4),inference(split_conjunct,[status(thm)],[622])).
% fof(840, negated_conjecture,![X771]:((~(vf(vd1362,X771)=vf(vd1361,vd1363))|~(rR(X771,vd1362,vd1361)))|~(rpoint(X771))),inference(fof_nnf,[status(thm)],[126])).
% fof(841, negated_conjecture,![X772]:((~(vf(vd1362,X772)=vf(vd1361,vd1363))|~(rR(X772,vd1362,vd1361)))|~(rpoint(X772))),inference(variable_rename,[status(thm)],[840])).
% cnf(842,negated_conjecture,(~rpoint(X1)|~rR(X1,vd1362,vd1361)|vf(vd1362,X1)!=vf(vd1361,vd1363)),inference(split_conjunct,[status(thm)],[841])).
% cnf(843,plain,(rpoint(vd1363)),inference(rw,[status(thm)],[164,165,theory(equality)])).
% cnf(844,plain,(rpoint(vd1362)),inference(rw,[status(thm)],[168,169,theory(equality)])).
% cnf(845,plain,(rpoint(vd1361)),inference(rw,[status(thm)],[172,173,theory(equality)])).
% cnf(874,plain,(rreal(esk8_2(X1,X2))|X3!=X2|~rpoint(X1)|~rpoint(X3)),inference(er,[status(thm)],[250,theory(equality)])).
% cnf(875,plain,(rreal(esk8_2(X1,X2))|~rpoint(X1)|~rpoint(X2)),inference(er,[status(thm)],[874,theory(equality)])).
% cnf(876,plain,(vf(X1,X2)=vf(X2,X1)|X1!=X3|~rpoint(X3)|~rpoint(X2)),inference(er,[status(thm)],[177,theory(equality)])).
% cnf(877,plain,(vf(X1,X2)=vf(X2,X1)|~rpoint(X1)|~rpoint(X2)),inference(er,[status(thm)],[876,theory(equality)])).
% cnf(885,plain,(esk8_2(X1,X2)=vf(X1,X2)|X3!=X2|~rpoint(X1)|~rpoint(X3)),inference(er,[status(thm)],[251,theory(equality)])).
% cnf(886,plain,(esk8_2(X1,X2)=vf(X1,X2)|~rpoint(X1)|~rpoint(X2)),inference(er,[status(thm)],[885,theory(equality)])).
% cnf(904,plain,(vplus(X1,X2)=vplus(X2,X1)|X1!=X3|~rreal(X2)|~rreal(X3)),inference(er,[status(thm)],[623,theory(equality)])).
% cnf(905,plain,(vplus(X1,X2)=vplus(X2,X1)|~rreal(X2)|~rreal(X1)),inference(er,[status(thm)],[904,theory(equality)])).
% cnf(951,plain,(rR(X1,X2,X3)|X3!=X4|X1!=X5|~rR(X1,X3,X2)|~rpoint(X4)|~rpoint(X5)|~rpoint(X2)),inference(er,[status(thm)],[186,theory(equality)])).
% cnf(952,plain,(rR(X1,X2,X3)|X1!=X4|~rR(X1,X3,X2)|~rpoint(X3)|~rpoint(X4)|~rpoint(X2)),inference(er,[status(thm)],[951,theory(equality)])).
% cnf(953,plain,(rR(X1,X2,X3)|~rR(X1,X3,X2)|~rpoint(X3)|~rpoint(X1)|~rpoint(X2)),inference(er,[status(thm)],[952,theory(equality)])).
% cnf(1092,plain,(vplus(vf(X1,X2),vf(X2,X3))=vf(X1,X3)|X2!=X4|X1!=X5|~rR(X2,X1,X3)|~rpoint(X5)|~rpoint(X4)|~rpoint(X3)),inference(er,[status(thm)],[244,theory(equality)])).
% cnf(1093,plain,(vplus(vf(X1,X2),vf(X2,X3))=vf(X1,X3)|X1!=X4|~rR(X2,X1,X3)|~rpoint(X4)|~rpoint(X2)|~rpoint(X3)),inference(er,[status(thm)],[1092,theory(equality)])).
% cnf(1094,plain,(vplus(vf(X1,X2),vf(X2,X3))=vf(X1,X3)|~rR(X2,X1,X3)|~rpoint(X1)|~rpoint(X2)|~rpoint(X3)),inference(er,[status(thm)],[1093,theory(equality)])).
% cnf(1296,plain,(X1=X2|X3=X4|rpoint(vskolem1120(X1,X5,X2,X6,X3,X7,X4,X4))|X3!=X7|X2!=X6|X1!=X5|~rless(vf(X3,X4),vf(X1,X2))|~rpoint(X4)|~rpoint(X7)|~rpoint(X6)|~rpoint(X5)),inference(er,[status(thm)],[474,theory(equality)])).
% cnf(1297,plain,(X1=X2|X3=X4|rpoint(vskolem1120(X1,X5,X2,X6,X3,X3,X4,X4))|X2!=X6|X1!=X5|~rless(vf(X3,X4),vf(X1,X2))|~rpoint(X4)|~rpoint(X3)|~rpoint(X6)|~rpoint(X5)),inference(er,[status(thm)],[1296,theory(equality)])).
% cnf(1298,plain,(X1=X2|X3=X4|rpoint(vskolem1120(X1,X5,X2,X2,X3,X3,X4,X4))|X1!=X5|~rless(vf(X3,X4),vf(X1,X2))|~rpoint(X4)|~rpoint(X3)|~rpoint(X2)|~rpoint(X5)),inference(er,[status(thm)],[1297,theory(equality)])).
% cnf(1299,plain,(X1=X2|X3=X4|rpoint(vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4))|~rless(vf(X3,X4),vf(X1,X2))|~rpoint(X4)|~rpoint(X3)|~rpoint(X2)|~rpoint(X1)),inference(er,[status(thm)],[1298,theory(equality)])).
% cnf(1327,plain,(X1=X2|X3=X4|rR(vskolem1120(X1,X5,X2,X6,X3,X7,X4,X4),X1,X2)|X3!=X7|X2!=X6|X1!=X5|~rless(vf(X3,X4),vf(X1,X2))|~rpoint(X4)|~rpoint(X7)|~rpoint(X6)|~rpoint(X5)),inference(er,[status(thm)],[277,theory(equality)])).
% cnf(1328,plain,(X1=X2|X3=X4|rR(vskolem1120(X1,X5,X2,X6,X3,X3,X4,X4),X1,X2)|X2!=X6|X1!=X5|~rless(vf(X3,X4),vf(X1,X2))|~rpoint(X4)|~rpoint(X3)|~rpoint(X6)|~rpoint(X5)),inference(er,[status(thm)],[1327,theory(equality)])).
% cnf(1329,plain,(X1=X2|X3=X4|rR(vskolem1120(X1,X5,X2,X2,X3,X3,X4,X4),X1,X2)|X1!=X5|~rless(vf(X3,X4),vf(X1,X2))|~rpoint(X4)|~rpoint(X3)|~rpoint(X2)|~rpoint(X5)),inference(er,[status(thm)],[1328,theory(equality)])).
% cnf(1330,plain,(X1=X2|X3=X4|rR(vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4),X1,X2)|~rless(vf(X3,X4),vf(X1,X2))|~rpoint(X4)|~rpoint(X3)|~rpoint(X2)|~rpoint(X1)),inference(er,[status(thm)],[1329,theory(equality)])).
% cnf(1336,plain,(vf(X1,vskolem1120(X1,X2,X3,X4,X5,X6,X7,X7))=vf(X5,X7)|X1=X3|X5=X7|X5!=X6|X3!=X4|X1!=X2|~rless(vf(X5,X7),vf(X1,X3))|~rpoint(X7)|~rpoint(X6)|~rpoint(X4)|~rpoint(X2)),inference(er,[status(thm)],[471,theory(equality)])).
% cnf(1337,plain,(vf(X1,vskolem1120(X1,X2,X3,X4,X5,X5,X6,X6))=vf(X5,X6)|X1=X3|X5=X6|X3!=X4|X1!=X2|~rless(vf(X5,X6),vf(X1,X3))|~rpoint(X6)|~rpoint(X5)|~rpoint(X4)|~rpoint(X2)),inference(er,[status(thm)],[1336,theory(equality)])).
% cnf(1338,plain,(vf(X1,vskolem1120(X1,X2,X3,X3,X4,X4,X5,X5))=vf(X4,X5)|X1=X3|X4=X5|X1!=X2|~rless(vf(X4,X5),vf(X1,X3))|~rpoint(X5)|~rpoint(X4)|~rpoint(X3)|~rpoint(X2)),inference(er,[status(thm)],[1337,theory(equality)])).
% cnf(1339,plain,(vf(X1,vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4))=vf(X3,X4)|X1=X2|X3=X4|~rless(vf(X3,X4),vf(X1,X2))|~rpoint(X4)|~rpoint(X3)|~rpoint(X2)|~rpoint(X1)),inference(er,[status(thm)],[1338,theory(equality)])).
% cnf(2064,plain,(rreal(vf(X1,X2))|~rpoint(X1)|~rpoint(X2)),inference(spm,[status(thm)],[875,886,theory(equality)])).
% cnf(5460,plain,(vd1361=vd1363|vd1361=vd1362|rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))|~rpoint(vd1363)|~rpoint(vd1361)|~rpoint(vd1362)),inference(spm,[status(thm)],[1299,231,theory(equality)])).
% cnf(5496,plain,(vd1361=vd1363|vd1361=vd1362|rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))|$false|~rpoint(vd1361)|~rpoint(vd1362)),inference(rw,[status(thm)],[5460,843,theory(equality)])).
% cnf(5497,plain,(vd1361=vd1363|vd1361=vd1362|rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))|$false|$false|~rpoint(vd1362)),inference(rw,[status(thm)],[5496,845,theory(equality)])).
% cnf(5498,plain,(vd1361=vd1363|vd1361=vd1362|rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))|$false|$false|$false),inference(rw,[status(thm)],[5497,844,theory(equality)])).
% cnf(5499,plain,(vd1361=vd1363|vd1361=vd1362|rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))),inference(cn,[status(thm)],[5498,theory(equality)])).
% cnf(5500,plain,(vd1362=vd1361|rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))),inference(sr,[status(thm)],[5499,160,theory(equality)])).
% cnf(5501,plain,(rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))),inference(sr,[status(thm)],[5500,161,theory(equality)])).
% cnf(5852,plain,(X1=X2|X3=X4|rR(vskolem1120(X3,X3,X4,X4,X1,X1,X2,X2),X3,X4)|~rless(vf(X1,X2),vf(X4,X3))|~rpoint(X2)|~rpoint(X1)|~rpoint(X4)|~rpoint(X3)),inference(spm,[status(thm)],[1330,877,theory(equality)])).
% cnf(5872,plain,(vd1361=vd1363|vd1361=vd1362|rR(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1361,vd1362)|~rpoint(vd1363)|~rpoint(vd1361)|~rpoint(vd1362)),inference(spm,[status(thm)],[1330,231,theory(equality)])).
% cnf(5908,plain,(vd1361=vd1363|vd1361=vd1362|rR(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1361,vd1362)|$false|~rpoint(vd1361)|~rpoint(vd1362)),inference(rw,[status(thm)],[5872,843,theory(equality)])).
% cnf(5909,plain,(vd1361=vd1363|vd1361=vd1362|rR(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1361,vd1362)|$false|$false|~rpoint(vd1362)),inference(rw,[status(thm)],[5908,845,theory(equality)])).
% cnf(5910,plain,(vd1361=vd1363|vd1361=vd1362|rR(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1361,vd1362)|$false|$false|$false),inference(rw,[status(thm)],[5909,844,theory(equality)])).
% cnf(5911,plain,(vd1361=vd1363|vd1361=vd1362|rR(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1361,vd1362)),inference(cn,[status(thm)],[5910,theory(equality)])).
% cnf(5912,plain,(vd1362=vd1361|rR(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1361,vd1362)),inference(sr,[status(thm)],[5911,160,theory(equality)])).
% cnf(5913,plain,(rR(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1361,vd1362)),inference(sr,[status(thm)],[5912,161,theory(equality)])).
% cnf(5916,plain,(rR(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1362,vd1361)|~rpoint(vd1361)|~rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))|~rpoint(vd1362)),inference(spm,[status(thm)],[953,5913,theory(equality)])).
% cnf(5917,plain,(vplus(vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)),vf(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1362))=vf(vd1361,vd1362)|~rpoint(vd1361)|~rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))|~rpoint(vd1362)),inference(spm,[status(thm)],[1094,5913,theory(equality)])).
% cnf(5940,plain,(rR(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1362,vd1361)|$false|~rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))|~rpoint(vd1362)),inference(rw,[status(thm)],[5916,845,theory(equality)])).
% cnf(5941,plain,(rR(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1362,vd1361)|$false|$false|~rpoint(vd1362)),inference(rw,[status(thm)],[5940,5501,theory(equality)])).
% cnf(5942,plain,(rR(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1362,vd1361)|$false|$false|$false),inference(rw,[status(thm)],[5941,844,theory(equality)])).
% cnf(5943,plain,(rR(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1362,vd1361)),inference(cn,[status(thm)],[5942,theory(equality)])).
% cnf(5944,plain,(vplus(vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)),vf(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1362))=vf(vd1361,vd1362)|$false|~rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))|~rpoint(vd1362)),inference(rw,[status(thm)],[5917,845,theory(equality)])).
% cnf(5945,plain,(vplus(vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)),vf(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1362))=vf(vd1361,vd1362)|$false|$false|~rpoint(vd1362)),inference(rw,[status(thm)],[5944,5501,theory(equality)])).
% cnf(5946,plain,(vplus(vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)),vf(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1362))=vf(vd1361,vd1362)|$false|$false|$false),inference(rw,[status(thm)],[5945,844,theory(equality)])).
% cnf(5947,plain,(vplus(vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)),vf(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1362))=vf(vd1361,vd1362)),inference(cn,[status(thm)],[5946,theory(equality)])).
% cnf(6007,plain,(vplus(vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)),vf(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1361))=vf(vd1362,vd1361)|~rpoint(vd1362)|~rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))|~rpoint(vd1361)),inference(spm,[status(thm)],[1094,5943,theory(equality)])).
% cnf(6036,plain,(vplus(vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)),vf(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1361))=vf(vd1362,vd1361)|$false|~rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))|~rpoint(vd1361)),inference(rw,[status(thm)],[6007,844,theory(equality)])).
% cnf(6037,plain,(vplus(vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)),vf(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1361))=vf(vd1362,vd1361)|$false|$false|~rpoint(vd1361)),inference(rw,[status(thm)],[6036,5501,theory(equality)])).
% cnf(6038,plain,(vplus(vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)),vf(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1361))=vf(vd1362,vd1361)|$false|$false|$false),inference(rw,[status(thm)],[6037,845,theory(equality)])).
% cnf(6039,plain,(vplus(vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)),vf(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1361))=vf(vd1362,vd1361)),inference(cn,[status(thm)],[6038,theory(equality)])).
% cnf(6124,plain,(vplus(vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)),vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)))=vf(vd1362,vd1361)|~rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))|~rpoint(vd1361)),inference(spm,[status(thm)],[6039,877,theory(equality)])).
% cnf(6126,plain,(vplus(vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)),vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)))=vf(vd1362,vd1361)|$false|~rpoint(vd1361)),inference(rw,[status(thm)],[6124,5501,theory(equality)])).
% cnf(6127,plain,(vplus(vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)),vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)))=vf(vd1362,vd1361)|$false|$false),inference(rw,[status(thm)],[6126,845,theory(equality)])).
% cnf(6128,plain,(vplus(vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)),vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)))=vf(vd1362,vd1361)),inference(cn,[status(thm)],[6127,theory(equality)])).
% cnf(6193,plain,(vf(X1,vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4))=vf(X3,X4)|X3=X4|X1=X2|~rless(vf(X3,X4),vf(X2,X1))|~rpoint(X4)|~rpoint(X3)|~rpoint(X2)|~rpoint(X1)),inference(spm,[status(thm)],[1339,877,theory(equality)])).
% cnf(6213,plain,(vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))=vf(vd1361,vd1363)|vd1361=vd1363|vd1361=vd1362|~rpoint(vd1363)|~rpoint(vd1361)|~rpoint(vd1362)),inference(spm,[status(thm)],[1339,231,theory(equality)])).
% cnf(6249,plain,(vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))=vf(vd1361,vd1363)|vd1361=vd1363|vd1361=vd1362|$false|~rpoint(vd1361)|~rpoint(vd1362)),inference(rw,[status(thm)],[6213,843,theory(equality)])).
% cnf(6250,plain,(vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))=vf(vd1361,vd1363)|vd1361=vd1363|vd1361=vd1362|$false|$false|~rpoint(vd1362)),inference(rw,[status(thm)],[6249,845,theory(equality)])).
% cnf(6251,plain,(vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))=vf(vd1361,vd1363)|vd1361=vd1363|vd1361=vd1362|$false|$false|$false),inference(rw,[status(thm)],[6250,844,theory(equality)])).
% cnf(6252,plain,(vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))=vf(vd1361,vd1363)|vd1361=vd1363|vd1361=vd1362),inference(cn,[status(thm)],[6251,theory(equality)])).
% cnf(6253,plain,(vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))=vf(vd1361,vd1363)|vd1362=vd1361),inference(sr,[status(thm)],[6252,160,theory(equality)])).
% cnf(6254,plain,(vf(vd1361,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))=vf(vd1361,vd1363)),inference(sr,[status(thm)],[6253,161,theory(equality)])).
% cnf(6259,plain,(rreal(vf(vd1361,vd1363))|~rpoint(vd1361)|~rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))),inference(spm,[status(thm)],[2064,6254,theory(equality)])).
% cnf(6276,plain,(vplus(vf(vd1361,vd1363),vf(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363),vd1362))=vf(vd1361,vd1362)),inference(rw,[status(thm)],[5947,6254,theory(equality)])).
% cnf(6289,plain,(rreal(vf(vd1361,vd1363))|$false|~rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))),inference(rw,[status(thm)],[6259,845,theory(equality)])).
% cnf(6290,plain,(rreal(vf(vd1361,vd1363))|$false|$false),inference(rw,[status(thm)],[6289,5501,theory(equality)])).
% cnf(6291,plain,(rreal(vf(vd1361,vd1363))),inference(cn,[status(thm)],[6290,theory(equality)])).
% cnf(6349,plain,(vplus(vf(vd1361,vd1363),vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)))=vf(vd1361,vd1362)|~rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))|~rpoint(vd1362)),inference(spm,[status(thm)],[6276,877,theory(equality)])).
% cnf(6370,plain,(vplus(vf(vd1361,vd1363),vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)))=vf(vd1361,vd1362)|$false|~rpoint(vd1362)),inference(rw,[status(thm)],[6349,5501,theory(equality)])).
% cnf(6371,plain,(vplus(vf(vd1361,vd1363),vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)))=vf(vd1361,vd1362)|$false|$false),inference(rw,[status(thm)],[6370,844,theory(equality)])).
% cnf(6372,plain,(vplus(vf(vd1361,vd1363),vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)))=vf(vd1361,vd1362)),inference(cn,[status(thm)],[6371,theory(equality)])).
% cnf(6433,plain,(vplus(vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)),vf(vd1361,vd1363))=vf(vd1362,vd1361)),inference(rw,[status(thm)],[6128,6254,theory(equality)])).
% cnf(6434,plain,(vf(vd1362,vd1361)=vplus(vf(vd1361,vd1363),vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)))|~rreal(vf(vd1361,vd1363))|~rreal(vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)))),inference(spm,[status(thm)],[905,6433,theory(equality)])).
% cnf(6451,plain,(vf(vd1362,vd1361)=vf(vd1361,vd1362)|~rreal(vf(vd1361,vd1363))|~rreal(vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)))),inference(rw,[status(thm)],[6434,6372,theory(equality)])).
% cnf(6452,plain,(vf(vd1362,vd1361)=vf(vd1361,vd1362)|$false|~rreal(vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)))),inference(rw,[status(thm)],[6451,6291,theory(equality)])).
% cnf(6453,plain,(vf(vd1362,vd1361)=vf(vd1361,vd1362)|~rreal(vf(vd1362,vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363)))),inference(cn,[status(thm)],[6452,theory(equality)])).
% cnf(6476,plain,(vf(vd1362,vd1361)=vf(vd1361,vd1362)|~rpoint(vd1362)|~rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))),inference(spm,[status(thm)],[6453,2064,theory(equality)])).
% cnf(6477,plain,(vf(vd1362,vd1361)=vf(vd1361,vd1362)|$false|~rpoint(vskolem1120(vd1361,vd1361,vd1362,vd1362,vd1361,vd1361,vd1363,vd1363))),inference(rw,[status(thm)],[6476,844,theory(equality)])).
% cnf(6478,plain,(vf(vd1362,vd1361)=vf(vd1361,vd1362)|$false|$false),inference(rw,[status(thm)],[6477,5501,theory(equality)])).
% cnf(6479,plain,(vf(vd1362,vd1361)=vf(vd1361,vd1362)),inference(cn,[status(thm)],[6478,theory(equality)])).
% cnf(6492,plain,(X1=X2|vd1362=vd1361|rpoint(vskolem1120(vd1362,vd1362,vd1361,vd1361,X1,X1,X2,X2))|~rless(vf(X1,X2),vf(vd1361,vd1362))|~rpoint(X2)|~rpoint(X1)|~rpoint(vd1361)|~rpoint(vd1362)),inference(spm,[status(thm)],[1299,6479,theory(equality)])).
% cnf(6543,plain,(X1=X2|vd1362=vd1361|rpoint(vskolem1120(vd1362,vd1362,vd1361,vd1361,X1,X1,X2,X2))|~rless(vf(X1,X2),vf(vd1361,vd1362))|~rpoint(X2)|~rpoint(X1)|$false|~rpoint(vd1362)),inference(rw,[status(thm)],[6492,845,theory(equality)])).
% cnf(6544,plain,(X1=X2|vd1362=vd1361|rpoint(vskolem1120(vd1362,vd1362,vd1361,vd1361,X1,X1,X2,X2))|~rless(vf(X1,X2),vf(vd1361,vd1362))|~rpoint(X2)|~rpoint(X1)|$false|$false),inference(rw,[status(thm)],[6543,844,theory(equality)])).
% cnf(6545,plain,(X1=X2|vd1362=vd1361|rpoint(vskolem1120(vd1362,vd1362,vd1361,vd1361,X1,X1,X2,X2))|~rless(vf(X1,X2),vf(vd1361,vd1362))|~rpoint(X2)|~rpoint(X1)),inference(cn,[status(thm)],[6544,theory(equality)])).
% cnf(6546,plain,(X1=X2|rpoint(vskolem1120(vd1362,vd1362,vd1361,vd1361,X1,X1,X2,X2))|~rless(vf(X1,X2),vf(vd1361,vd1362))|~rpoint(X2)|~rpoint(X1)),inference(sr,[status(thm)],[6545,161,theory(equality)])).
% cnf(16839,plain,(vd1361=vd1363|rpoint(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363))|~rpoint(vd1363)|~rpoint(vd1361)),inference(spm,[status(thm)],[6546,231,theory(equality)])).
% cnf(16871,plain,(vd1361=vd1363|rpoint(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363))|$false|~rpoint(vd1361)),inference(rw,[status(thm)],[16839,843,theory(equality)])).
% cnf(16872,plain,(vd1361=vd1363|rpoint(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363))|$false|$false),inference(rw,[status(thm)],[16871,845,theory(equality)])).
% cnf(16873,plain,(vd1361=vd1363|rpoint(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363))),inference(cn,[status(thm)],[16872,theory(equality)])).
% cnf(16874,plain,(rpoint(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363))),inference(sr,[status(thm)],[16873,160,theory(equality)])).
% cnf(185327,plain,(vd1362=vd1361|vd1361=vd1363|rR(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363),vd1362,vd1361)|~rpoint(vd1363)|~rpoint(vd1361)|~rpoint(vd1362)),inference(spm,[status(thm)],[5852,231,theory(equality)])).
% cnf(186375,plain,(vd1362=vd1361|vd1361=vd1363|rR(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363),vd1362,vd1361)|$false|~rpoint(vd1361)|~rpoint(vd1362)),inference(rw,[status(thm)],[185327,843,theory(equality)])).
% cnf(186376,plain,(vd1362=vd1361|vd1361=vd1363|rR(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363),vd1362,vd1361)|$false|$false|~rpoint(vd1362)),inference(rw,[status(thm)],[186375,845,theory(equality)])).
% cnf(186377,plain,(vd1362=vd1361|vd1361=vd1363|rR(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363),vd1362,vd1361)|$false|$false|$false),inference(rw,[status(thm)],[186376,844,theory(equality)])).
% cnf(186378,plain,(vd1362=vd1361|vd1361=vd1363|rR(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363),vd1362,vd1361)),inference(cn,[status(thm)],[186377,theory(equality)])).
% cnf(186379,plain,(vd1363=vd1361|rR(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363),vd1362,vd1361)),inference(sr,[status(thm)],[186378,161,theory(equality)])).
% cnf(186380,plain,(rR(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363),vd1362,vd1361)),inference(sr,[status(thm)],[186379,160,theory(equality)])).
% cnf(186512,negated_conjecture,(vf(vd1362,vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363))!=vf(vd1361,vd1363)|~rpoint(vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363))),inference(spm,[status(thm)],[842,186380,theory(equality)])).
% cnf(186601,negated_conjecture,(vf(vd1362,vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363))!=vf(vd1361,vd1363)|$false),inference(rw,[status(thm)],[186512,16874,theory(equality)])).
% cnf(186602,negated_conjecture,(vf(vd1362,vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363))!=vf(vd1361,vd1363)),inference(cn,[status(thm)],[186601,theory(equality)])).
% cnf(205108,plain,(vf(vd1362,vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363))=vf(vd1361,vd1363)|vd1362=vd1361|vd1361=vd1363|~rpoint(vd1363)|~rpoint(vd1361)|~rpoint(vd1362)),inference(spm,[status(thm)],[6193,231,theory(equality)])).
% cnf(206160,plain,(vf(vd1362,vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363))=vf(vd1361,vd1363)|vd1362=vd1361|vd1361=vd1363|$false|~rpoint(vd1361)|~rpoint(vd1362)),inference(rw,[status(thm)],[205108,843,theory(equality)])).
% cnf(206161,plain,(vf(vd1362,vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363))=vf(vd1361,vd1363)|vd1362=vd1361|vd1361=vd1363|$false|$false|~rpoint(vd1362)),inference(rw,[status(thm)],[206160,845,theory(equality)])).
% cnf(206162,plain,(vf(vd1362,vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363))=vf(vd1361,vd1363)|vd1362=vd1361|vd1361=vd1363|$false|$false|$false),inference(rw,[status(thm)],[206161,844,theory(equality)])).
% cnf(206163,plain,(vf(vd1362,vskolem1120(vd1362,vd1362,vd1361,vd1361,vd1361,vd1361,vd1363,vd1363))=vf(vd1361,vd1363)|vd1362=vd1361|vd1361=vd1363),inference(cn,[status(thm)],[206162,theory(equality)])).
% cnf(206164,plain,(vd1362=vd1361|vd1363=vd1361),inference(sr,[status(thm)],[206163,186602,theory(equality)])).
% cnf(206165,plain,(vd1363=vd1361),inference(sr,[status(thm)],[206164,161,theory(equality)])).
% cnf(206166,plain,($false),inference(sr,[status(thm)],[206165,160,theory(equality)])).
% cnf(206167,plain,($false),206166,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 9317
% # ...of these trivial : 200
% # ...subsumed : 3655
% # ...remaining for further processing: 5462
% # Other redundant clauses eliminated : 1194
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 941
% # Backward-rewritten : 383
% # Generated clauses : 65207
% # ...of the previous two non-trivial : 62527
% # Contextual simplify-reflections : 2063
% # Paramodulations : 64881
% # Factorizations : 16
% # Equation resolutions : 1250
% # Current number of processed clauses: 3884
% # Positive orientable unit clauses: 641
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 140
% # Non-unit-clauses : 3103
% # Current number of unprocessed clauses: 51276
% # ...number of literals in the above : 439462
% # Clause-clause subsumption calls (NU) : 224909
% # Rec. Clause-clause subsumption calls : 88157
% # Unit Clause-clause subsumption calls : 13820
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 11824
% # Indexed BW rewrite successes : 172
% # Backwards rewriting index: 1663 leaves, 2.59+/-5.852 terms/leaf
% # Paramod-from index: 497 leaves, 2.78+/-7.036 terms/leaf
% # Paramod-into index: 1095 leaves, 2.58+/-6.090 terms/leaf
% # -------------------------------------------------
% # User time : 7.648 s
% # System time : 0.230 s
% # Total time : 7.878 s
% # Maximum resident set size: 0 pages
% PrfWatch: 12.22 CPU 12.61 WC
% FINAL PrfWatch: 12.22 CPU 12.61 WC
% SZS output end Solution for /tmp/SystemOnTPTP17092/GEO332+1.tptp
%
%------------------------------------------------------------------------------