TSTP Solution File: GEO336+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : GEO336+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 : 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 : Wed Dec 29 05:37:00 EST 2010
% Result : Theorem 13.82s
% Output : Solution 13.82s
% 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/SystemOnTPTP29330/GEO336+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP29330/GEO336+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP29330/GEO336+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 29426
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% PrfWatch: 3.86 CPU 4.01 WC
% PrfWatch: 5.43 CPU 6.07 WC
% PrfWatch: 7.21 CPU 8.07 WC
% # Preprocessing time : 0.083 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 9.21 CPU 10.08 WC
% PrfWatch: 11.19 CPU 12.08 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,?[X1]:(vd1362=X1&rpoint(X1)),file('/tmp/SRASS.s.p', 'qe(s2(plural(386)))')).
% fof(3, axiom,![X2]:![X3]:((?[X4]:(X3=X4&rpoint(X4))&?[X5]:(X2=X5&rpoint(X5)))=>vf(X2,X3)=vf(X3,X2)),file('/tmp/SRASS.s.p', 'qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))')).
% fof(5, axiom,![X14]:![X15]:![X16]:((((rR(X15,X14,X16)&?[X17]:(X16=X17&rpoint(X17)))&?[X18]:(X15=X18&rpoint(X18)))&?[X19]:(X14=X19&rpoint(X19)))=>(((~(rR(X14,X15,X16))&~(X14=X16))&~(X14=X15))&rR(X15,X16,X14))),file('/tmp/SRASS.s.p', 'qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))')).
% fof(7, axiom,~(vd1361=vd1363),file('/tmp/SRASS.s.p', 'pred(386, 8)')).
% fof(8, axiom,~(vd1361=vd1362),file('/tmp/SRASS.s.p', 'pred(386, 7)')).
% fof(9, axiom,?[X20]:(vd1363=X20&rpoint(X20)),file('/tmp/SRASS.s.p', 'qe(s3(plural(386)))')).
% fof(10, axiom,?[X21]:(vd1361=X21&rpoint(X21)),file('/tmp/SRASS.s.p', 'qe(s1(plural(386)))')).
% fof(17, axiom,rless(vf(vd1361,vd1362),vf(vd1361,vd1363)),file('/tmp/SRASS.s.p', 'holds(395, 1377, 0)')).
% fof(22, 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(23, 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(30, 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(65, 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(66, 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(89, axiom,![X532]:![X533]:![X534]:![X535]:((((X534=X535&rreal(X535))&X532=X533)&rreal(X533))=>vplus(X532,X534)=vplus(X534,X532)),file('/tmp/SRASS.s.p', 'qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))')).
% fof(126, conjecture,?[X771]:((vf(vd1363,X771)=vf(vd1361,vd1362)&rR(X771,vd1361,vd1363))&rpoint(X771)),file('/tmp/SRASS.s.p', 'qe(396)')).
% fof(127, negated_conjecture,~(?[X771]:((vf(vd1363,X771)=vf(vd1361,vd1362)&rR(X771,vd1361,vd1363))&rpoint(X771))),inference(assume_negation,[status(cth)],[126])).
% fof(128, plain,![X14]:![X15]:![X16]:((((rR(X15,X14,X16)&?[X17]:(X16=X17&rpoint(X17)))&?[X18]:(X15=X18&rpoint(X18)))&?[X19]:(X14=X19&rpoint(X19)))=>(((~(rR(X14,X15,X16))&~(X14=X16))&~(X14=X15))&rR(X15,X16,X14))),inference(fof_simplification,[status(thm)],[5,theory(equality)])).
% fof(161, plain,?[X2]:(vd1362=X2&rpoint(X2)),inference(variable_rename,[status(thm)],[2])).
% fof(162, plain,(vd1362=esk1_0&rpoint(esk1_0)),inference(skolemize,[status(esa)],[161])).
% cnf(163,plain,(rpoint(esk1_0)),inference(split_conjunct,[status(thm)],[162])).
% cnf(164,plain,(vd1362=esk1_0),inference(split_conjunct,[status(thm)],[162])).
% fof(165, plain,![X2]:![X3]:((![X4]:(~(X3=X4)|~(rpoint(X4)))|![X5]:(~(X2=X5)|~(rpoint(X5))))|vf(X2,X3)=vf(X3,X2)),inference(fof_nnf,[status(thm)],[3])).
% fof(166, plain,![X6]:![X7]:((![X8]:(~(X7=X8)|~(rpoint(X8)))|![X9]:(~(X6=X9)|~(rpoint(X9))))|vf(X6,X7)=vf(X7,X6)),inference(variable_rename,[status(thm)],[165])).
% fof(167, plain,![X6]:![X7]:![X8]:![X9]:(((~(X6=X9)|~(rpoint(X9)))|(~(X7=X8)|~(rpoint(X8))))|vf(X6,X7)=vf(X7,X6)),inference(shift_quantors,[status(thm)],[166])).
% cnf(168,plain,(vf(X1,X2)=vf(X2,X1)|~rpoint(X3)|X2!=X3|~rpoint(X4)|X1!=X4),inference(split_conjunct,[status(thm)],[167])).
% fof(173, plain,![X14]:![X15]:![X16]:((((~(rR(X15,X14,X16))|![X17]:(~(X16=X17)|~(rpoint(X17))))|![X18]:(~(X15=X18)|~(rpoint(X18))))|![X19]:(~(X14=X19)|~(rpoint(X19))))|(((~(rR(X14,X15,X16))&~(X14=X16))&~(X14=X15))&rR(X15,X16,X14))),inference(fof_nnf,[status(thm)],[128])).
% fof(174, plain,![X20]:![X21]:![X22]:((((~(rR(X21,X20,X22))|![X23]:(~(X22=X23)|~(rpoint(X23))))|![X24]:(~(X21=X24)|~(rpoint(X24))))|![X25]:(~(X20=X25)|~(rpoint(X25))))|(((~(rR(X20,X21,X22))&~(X20=X22))&~(X20=X21))&rR(X21,X22,X20))),inference(variable_rename,[status(thm)],[173])).
% fof(175, plain,![X20]:![X21]:![X22]:![X23]:![X24]:![X25]:(((~(X20=X25)|~(rpoint(X25)))|((~(X21=X24)|~(rpoint(X24)))|((~(X22=X23)|~(rpoint(X23)))|~(rR(X21,X20,X22)))))|(((~(rR(X20,X21,X22))&~(X20=X22))&~(X20=X21))&rR(X21,X22,X20))),inference(shift_quantors,[status(thm)],[174])).
% fof(176, plain,![X20]:![X21]:![X22]:![X23]:![X24]:![X25]:((((~(rR(X20,X21,X22))|((~(X20=X25)|~(rpoint(X25)))|((~(X21=X24)|~(rpoint(X24)))|((~(X22=X23)|~(rpoint(X23)))|~(rR(X21,X20,X22))))))&(~(X20=X22)|((~(X20=X25)|~(rpoint(X25)))|((~(X21=X24)|~(rpoint(X24)))|((~(X22=X23)|~(rpoint(X23)))|~(rR(X21,X20,X22)))))))&(~(X20=X21)|((~(X20=X25)|~(rpoint(X25)))|((~(X21=X24)|~(rpoint(X24)))|((~(X22=X23)|~(rpoint(X23)))|~(rR(X21,X20,X22)))))))&(rR(X21,X22,X20)|((~(X20=X25)|~(rpoint(X25)))|((~(X21=X24)|~(rpoint(X24)))|((~(X22=X23)|~(rpoint(X23)))|~(rR(X21,X20,X22))))))),inference(distribute,[status(thm)],[175])).
% cnf(177,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)],[176])).
% cnf(182,plain,(vd1361!=vd1363),inference(split_conjunct,[status(thm)],[7])).
% cnf(183,plain,(vd1361!=vd1362),inference(split_conjunct,[status(thm)],[8])).
% fof(184, plain,?[X21]:(vd1363=X21&rpoint(X21)),inference(variable_rename,[status(thm)],[9])).
% fof(185, plain,(vd1363=esk2_0&rpoint(esk2_0)),inference(skolemize,[status(esa)],[184])).
% cnf(186,plain,(rpoint(esk2_0)),inference(split_conjunct,[status(thm)],[185])).
% cnf(187,plain,(vd1363=esk2_0),inference(split_conjunct,[status(thm)],[185])).
% fof(188, plain,?[X22]:(vd1361=X22&rpoint(X22)),inference(variable_rename,[status(thm)],[10])).
% fof(189, plain,(vd1361=esk3_0&rpoint(esk3_0)),inference(skolemize,[status(esa)],[188])).
% cnf(190,plain,(rpoint(esk3_0)),inference(split_conjunct,[status(thm)],[189])).
% cnf(191,plain,(vd1361=esk3_0),inference(split_conjunct,[status(thm)],[189])).
% cnf(233,plain,(rless(vf(vd1361,vd1362),vf(vd1361,vd1363))),inference(split_conjunct,[status(thm)],[17])).
% fof(244, 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)],[22])).
% fof(245, 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)],[244])).
% fof(246, 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)],[245])).
% cnf(247,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)],[246])).
% fof(248, 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)],[23])).
% fof(249, 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)],[248])).
% fof(250, 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)],[249])).
% fof(251, 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)],[250])).
% fof(252, 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)],[251])).
% cnf(253,plain,(rreal(esk8_2(X4,X2))|~rpoint(X1)|X2!=X1|~rpoint(X3)|X4!=X3),inference(split_conjunct,[status(thm)],[252])).
% cnf(254,plain,(vf(X4,X2)=esk8_2(X4,X2)|~rpoint(X1)|X2!=X1|~rpoint(X3)|X4!=X3),inference(split_conjunct,[status(thm)],[252])).
% fof(278, 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)],[30])).
% fof(279, 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)],[278])).
% cnf(280,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)],[279])).
% fof(511, 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)],[65])).
% fof(512, 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)],[511])).
% cnf(513,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)],[512])).
% fof(514, 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)],[66])).
% fof(515, 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)],[514])).
% cnf(516,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)],[515])).
% fof(636, plain,![X532]:![X533]:![X534]:![X535]:((((~(X534=X535)|~(rreal(X535)))|~(X532=X533))|~(rreal(X533)))|vplus(X532,X534)=vplus(X534,X532)),inference(fof_nnf,[status(thm)],[89])).
% fof(637, plain,![X536]:![X537]:![X538]:![X539]:((((~(X538=X539)|~(rreal(X539)))|~(X536=X537))|~(rreal(X537)))|vplus(X536,X538)=vplus(X538,X536)),inference(variable_rename,[status(thm)],[636])).
% cnf(638,plain,(vplus(X1,X2)=vplus(X2,X1)|~rreal(X3)|X1!=X3|~rreal(X4)|X2!=X4),inference(split_conjunct,[status(thm)],[637])).
% fof(843, negated_conjecture,![X771]:((~(vf(vd1363,X771)=vf(vd1361,vd1362))|~(rR(X771,vd1361,vd1363)))|~(rpoint(X771))),inference(fof_nnf,[status(thm)],[127])).
% fof(844, negated_conjecture,![X772]:((~(vf(vd1363,X772)=vf(vd1361,vd1362))|~(rR(X772,vd1361,vd1363)))|~(rpoint(X772))),inference(variable_rename,[status(thm)],[843])).
% cnf(845,negated_conjecture,(~rpoint(X1)|~rR(X1,vd1361,vd1363)|vf(vd1363,X1)!=vf(vd1361,vd1362)),inference(split_conjunct,[status(thm)],[844])).
% cnf(846,plain,(rpoint(vd1362)),inference(rw,[status(thm)],[163,164,theory(equality)])).
% cnf(847,plain,(rpoint(vd1363)),inference(rw,[status(thm)],[186,187,theory(equality)])).
% cnf(848,plain,(rpoint(vd1361)),inference(rw,[status(thm)],[190,191,theory(equality)])).
% cnf(877,plain,(vf(X1,X2)=vf(X2,X1)|X1!=X3|~rpoint(X3)|~rpoint(X2)),inference(er,[status(thm)],[168,theory(equality)])).
% cnf(878,plain,(vf(X1,X2)=vf(X2,X1)|~rpoint(X1)|~rpoint(X2)),inference(er,[status(thm)],[877,theory(equality)])).
% cnf(879,plain,(rreal(esk8_2(X1,X2))|X3!=X2|~rpoint(X1)|~rpoint(X3)),inference(er,[status(thm)],[253,theory(equality)])).
% cnf(880,plain,(rreal(esk8_2(X1,X2))|~rpoint(X1)|~rpoint(X2)),inference(er,[status(thm)],[879,theory(equality)])).
% cnf(888,plain,(esk8_2(X1,X2)=vf(X1,X2)|X3!=X2|~rpoint(X1)|~rpoint(X3)),inference(er,[status(thm)],[254,theory(equality)])).
% cnf(889,plain,(esk8_2(X1,X2)=vf(X1,X2)|~rpoint(X1)|~rpoint(X2)),inference(er,[status(thm)],[888,theory(equality)])).
% cnf(903,plain,(vplus(X1,X2)=vplus(X2,X1)|X1!=X3|~rreal(X2)|~rreal(X3)),inference(er,[status(thm)],[638,theory(equality)])).
% cnf(904,plain,(vplus(X1,X2)=vplus(X2,X1)|~rreal(X2)|~rreal(X1)),inference(er,[status(thm)],[903,theory(equality)])).
% cnf(954,plain,(rR(X1,X2,X3)|X3!=X4|X1!=X5|~rR(X1,X3,X2)|~rpoint(X4)|~rpoint(X5)|~rpoint(X2)),inference(er,[status(thm)],[177,theory(equality)])).
% cnf(955,plain,(rR(X1,X2,X3)|X1!=X4|~rR(X1,X3,X2)|~rpoint(X3)|~rpoint(X4)|~rpoint(X2)),inference(er,[status(thm)],[954,theory(equality)])).
% cnf(956,plain,(rR(X1,X2,X3)|~rR(X1,X3,X2)|~rpoint(X3)|~rpoint(X1)|~rpoint(X2)),inference(er,[status(thm)],[955,theory(equality)])).
% cnf(1095,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)],[247,theory(equality)])).
% cnf(1096,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)],[1095,theory(equality)])).
% cnf(1097,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)],[1096,theory(equality)])).
% cnf(1299,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)],[516,theory(equality)])).
% cnf(1300,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)],[1299,theory(equality)])).
% cnf(1301,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)],[1300,theory(equality)])).
% cnf(1302,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)],[1301,theory(equality)])).
% cnf(1330,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)],[280,theory(equality)])).
% cnf(1331,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)],[1330,theory(equality)])).
% cnf(1332,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)],[1331,theory(equality)])).
% cnf(1333,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)],[1332,theory(equality)])).
% cnf(1339,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)],[513,theory(equality)])).
% cnf(1340,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)],[1339,theory(equality)])).
% cnf(1341,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)],[1340,theory(equality)])).
% cnf(1342,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)],[1341,theory(equality)])).
% cnf(2067,plain,(rreal(vf(X1,X2))|~rpoint(X1)|~rpoint(X2)),inference(spm,[status(thm)],[880,889,theory(equality)])).
% cnf(5390,plain,(vd1361=vd1362|vd1361=vd1363|rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))|~rpoint(vd1362)|~rpoint(vd1361)|~rpoint(vd1363)),inference(spm,[status(thm)],[1302,233,theory(equality)])).
% cnf(5426,plain,(vd1361=vd1362|vd1361=vd1363|rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))|$false|~rpoint(vd1361)|~rpoint(vd1363)),inference(rw,[status(thm)],[5390,846,theory(equality)])).
% cnf(5427,plain,(vd1361=vd1362|vd1361=vd1363|rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))|$false|$false|~rpoint(vd1363)),inference(rw,[status(thm)],[5426,848,theory(equality)])).
% cnf(5428,plain,(vd1361=vd1362|vd1361=vd1363|rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))|$false|$false|$false),inference(rw,[status(thm)],[5427,847,theory(equality)])).
% cnf(5429,plain,(vd1361=vd1362|vd1361=vd1363|rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))),inference(cn,[status(thm)],[5428,theory(equality)])).
% cnf(5430,plain,(vd1363=vd1361|rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))),inference(sr,[status(thm)],[5429,183,theory(equality)])).
% cnf(5431,plain,(rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))),inference(sr,[status(thm)],[5430,182,theory(equality)])).
% cnf(5805,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)],[1333,878,theory(equality)])).
% cnf(5825,plain,(vd1361=vd1362|vd1361=vd1363|rR(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)|~rpoint(vd1362)|~rpoint(vd1361)|~rpoint(vd1363)),inference(spm,[status(thm)],[1333,233,theory(equality)])).
% cnf(5861,plain,(vd1361=vd1362|vd1361=vd1363|rR(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)|$false|~rpoint(vd1361)|~rpoint(vd1363)),inference(rw,[status(thm)],[5825,846,theory(equality)])).
% cnf(5862,plain,(vd1361=vd1362|vd1361=vd1363|rR(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)|$false|$false|~rpoint(vd1363)),inference(rw,[status(thm)],[5861,848,theory(equality)])).
% cnf(5863,plain,(vd1361=vd1362|vd1361=vd1363|rR(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)|$false|$false|$false),inference(rw,[status(thm)],[5862,847,theory(equality)])).
% cnf(5864,plain,(vd1361=vd1362|vd1361=vd1363|rR(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)),inference(cn,[status(thm)],[5863,theory(equality)])).
% cnf(5865,plain,(vd1363=vd1361|rR(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)),inference(sr,[status(thm)],[5864,183,theory(equality)])).
% cnf(5866,plain,(rR(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)),inference(sr,[status(thm)],[5865,182,theory(equality)])).
% cnf(5869,plain,(rR(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)|~rpoint(vd1361)|~rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))|~rpoint(vd1363)),inference(spm,[status(thm)],[956,5866,theory(equality)])).
% cnf(5870,plain,(vplus(vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1363))=vf(vd1361,vd1363)|~rpoint(vd1361)|~rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))|~rpoint(vd1363)),inference(spm,[status(thm)],[1097,5866,theory(equality)])).
% cnf(5894,plain,(rR(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)|$false|~rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))|~rpoint(vd1363)),inference(rw,[status(thm)],[5869,848,theory(equality)])).
% cnf(5895,plain,(rR(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)|$false|$false|~rpoint(vd1363)),inference(rw,[status(thm)],[5894,5431,theory(equality)])).
% cnf(5896,plain,(rR(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)|$false|$false|$false),inference(rw,[status(thm)],[5895,847,theory(equality)])).
% cnf(5897,plain,(rR(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)),inference(cn,[status(thm)],[5896,theory(equality)])).
% cnf(5898,plain,(vplus(vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1363))=vf(vd1361,vd1363)|$false|~rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))|~rpoint(vd1363)),inference(rw,[status(thm)],[5870,848,theory(equality)])).
% cnf(5899,plain,(vplus(vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1363))=vf(vd1361,vd1363)|$false|$false|~rpoint(vd1363)),inference(rw,[status(thm)],[5898,5431,theory(equality)])).
% cnf(5900,plain,(vplus(vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1363))=vf(vd1361,vd1363)|$false|$false|$false),inference(rw,[status(thm)],[5899,847,theory(equality)])).
% cnf(5901,plain,(vplus(vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1363))=vf(vd1361,vd1363)),inference(cn,[status(thm)],[5900,theory(equality)])).
% cnf(5963,plain,(vplus(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1361))=vf(vd1363,vd1361)|~rpoint(vd1363)|~rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))|~rpoint(vd1361)),inference(spm,[status(thm)],[1097,5897,theory(equality)])).
% cnf(5991,plain,(vplus(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1361))=vf(vd1363,vd1361)|$false|~rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))|~rpoint(vd1361)),inference(rw,[status(thm)],[5963,847,theory(equality)])).
% cnf(5992,plain,(vplus(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1361))=vf(vd1363,vd1361)|$false|$false|~rpoint(vd1361)),inference(rw,[status(thm)],[5991,5431,theory(equality)])).
% cnf(5993,plain,(vplus(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1361))=vf(vd1363,vd1361)|$false|$false|$false),inference(rw,[status(thm)],[5992,848,theory(equality)])).
% cnf(5994,plain,(vplus(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1361))=vf(vd1363,vd1361)),inference(cn,[status(thm)],[5993,theory(equality)])).
% cnf(6077,plain,(vplus(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)))=vf(vd1363,vd1361)|~rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))|~rpoint(vd1361)),inference(spm,[status(thm)],[5994,878,theory(equality)])).
% cnf(6079,plain,(vplus(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)))=vf(vd1363,vd1361)|$false|~rpoint(vd1361)),inference(rw,[status(thm)],[6077,5431,theory(equality)])).
% cnf(6080,plain,(vplus(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)))=vf(vd1363,vd1361)|$false|$false),inference(rw,[status(thm)],[6079,848,theory(equality)])).
% cnf(6081,plain,(vplus(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)))=vf(vd1363,vd1361)),inference(cn,[status(thm)],[6080,theory(equality)])).
% cnf(6147,plain,(vf(X1,vskolem1120(X1,X1,X2,X2,X3,X3,X4,X4))=vf(X3,X4)|X3=X4|X1=X2|~rless(vf(X3,X4),vf(X2,X1))|~rpoint(X4)|~rpoint(X3)|~rpoint(X2)|~rpoint(X1)),inference(spm,[status(thm)],[1342,878,theory(equality)])).
% cnf(6167,plain,(vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))=vf(vd1361,vd1362)|vd1361=vd1362|vd1361=vd1363|~rpoint(vd1362)|~rpoint(vd1361)|~rpoint(vd1363)),inference(spm,[status(thm)],[1342,233,theory(equality)])).
% cnf(6203,plain,(vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))=vf(vd1361,vd1362)|vd1361=vd1362|vd1361=vd1363|$false|~rpoint(vd1361)|~rpoint(vd1363)),inference(rw,[status(thm)],[6167,846,theory(equality)])).
% cnf(6204,plain,(vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))=vf(vd1361,vd1362)|vd1361=vd1362|vd1361=vd1363|$false|$false|~rpoint(vd1363)),inference(rw,[status(thm)],[6203,848,theory(equality)])).
% cnf(6205,plain,(vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))=vf(vd1361,vd1362)|vd1361=vd1362|vd1361=vd1363|$false|$false|$false),inference(rw,[status(thm)],[6204,847,theory(equality)])).
% cnf(6206,plain,(vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))=vf(vd1361,vd1362)|vd1361=vd1362|vd1361=vd1363),inference(cn,[status(thm)],[6205,theory(equality)])).
% cnf(6207,plain,(vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))=vf(vd1361,vd1362)|vd1363=vd1361),inference(sr,[status(thm)],[6206,183,theory(equality)])).
% cnf(6208,plain,(vf(vd1361,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))=vf(vd1361,vd1362)),inference(sr,[status(thm)],[6207,182,theory(equality)])).
% cnf(6213,plain,(rreal(vf(vd1361,vd1362))|~rpoint(vd1361)|~rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))),inference(spm,[status(thm)],[2067,6208,theory(equality)])).
% cnf(6230,plain,(vplus(vf(vd1361,vd1362),vf(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362),vd1363))=vf(vd1361,vd1363)),inference(rw,[status(thm)],[5901,6208,theory(equality)])).
% cnf(6243,plain,(rreal(vf(vd1361,vd1362))|$false|~rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))),inference(rw,[status(thm)],[6213,848,theory(equality)])).
% cnf(6244,plain,(rreal(vf(vd1361,vd1362))|$false|$false),inference(rw,[status(thm)],[6243,5431,theory(equality)])).
% cnf(6245,plain,(rreal(vf(vd1361,vd1362))),inference(cn,[status(thm)],[6244,theory(equality)])).
% cnf(6305,plain,(vplus(vf(vd1361,vd1362),vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)))=vf(vd1361,vd1363)|~rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))|~rpoint(vd1363)),inference(spm,[status(thm)],[6230,878,theory(equality)])).
% cnf(6326,plain,(vplus(vf(vd1361,vd1362),vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)))=vf(vd1361,vd1363)|$false|~rpoint(vd1363)),inference(rw,[status(thm)],[6305,5431,theory(equality)])).
% cnf(6327,plain,(vplus(vf(vd1361,vd1362),vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)))=vf(vd1361,vd1363)|$false|$false),inference(rw,[status(thm)],[6326,847,theory(equality)])).
% cnf(6328,plain,(vplus(vf(vd1361,vd1362),vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)))=vf(vd1361,vd1363)),inference(cn,[status(thm)],[6327,theory(equality)])).
% cnf(6386,plain,(vplus(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)),vf(vd1361,vd1362))=vf(vd1363,vd1361)),inference(rw,[status(thm)],[6081,6208,theory(equality)])).
% cnf(6387,plain,(vf(vd1363,vd1361)=vplus(vf(vd1361,vd1362),vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)))|~rreal(vf(vd1361,vd1362))|~rreal(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)))),inference(spm,[status(thm)],[904,6386,theory(equality)])).
% cnf(6404,plain,(vf(vd1363,vd1361)=vf(vd1361,vd1363)|~rreal(vf(vd1361,vd1362))|~rreal(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)))),inference(rw,[status(thm)],[6387,6328,theory(equality)])).
% cnf(6405,plain,(vf(vd1363,vd1361)=vf(vd1361,vd1363)|$false|~rreal(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)))),inference(rw,[status(thm)],[6404,6245,theory(equality)])).
% cnf(6406,plain,(vf(vd1363,vd1361)=vf(vd1361,vd1363)|~rreal(vf(vd1363,vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362)))),inference(cn,[status(thm)],[6405,theory(equality)])).
% cnf(6429,plain,(vf(vd1363,vd1361)=vf(vd1361,vd1363)|~rpoint(vd1363)|~rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))),inference(spm,[status(thm)],[6406,2067,theory(equality)])).
% cnf(6430,plain,(vf(vd1363,vd1361)=vf(vd1361,vd1363)|$false|~rpoint(vskolem1120(vd1361,vd1361,vd1363,vd1363,vd1361,vd1361,vd1362,vd1362))),inference(rw,[status(thm)],[6429,847,theory(equality)])).
% cnf(6431,plain,(vf(vd1363,vd1361)=vf(vd1361,vd1363)|$false|$false),inference(rw,[status(thm)],[6430,5431,theory(equality)])).
% cnf(6432,plain,(vf(vd1363,vd1361)=vf(vd1361,vd1363)),inference(cn,[status(thm)],[6431,theory(equality)])).
% cnf(6445,plain,(X1=X2|vd1363=vd1361|rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,X1,X1,X2,X2))|~rless(vf(X1,X2),vf(vd1361,vd1363))|~rpoint(X2)|~rpoint(X1)|~rpoint(vd1361)|~rpoint(vd1363)),inference(spm,[status(thm)],[1302,6432,theory(equality)])).
% cnf(6496,plain,(X1=X2|vd1363=vd1361|rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,X1,X1,X2,X2))|~rless(vf(X1,X2),vf(vd1361,vd1363))|~rpoint(X2)|~rpoint(X1)|$false|~rpoint(vd1363)),inference(rw,[status(thm)],[6445,848,theory(equality)])).
% cnf(6497,plain,(X1=X2|vd1363=vd1361|rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,X1,X1,X2,X2))|~rless(vf(X1,X2),vf(vd1361,vd1363))|~rpoint(X2)|~rpoint(X1)|$false|$false),inference(rw,[status(thm)],[6496,847,theory(equality)])).
% cnf(6498,plain,(X1=X2|vd1363=vd1361|rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,X1,X1,X2,X2))|~rless(vf(X1,X2),vf(vd1361,vd1363))|~rpoint(X2)|~rpoint(X1)),inference(cn,[status(thm)],[6497,theory(equality)])).
% cnf(6499,plain,(X1=X2|rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,X1,X1,X2,X2))|~rless(vf(X1,X2),vf(vd1361,vd1363))|~rpoint(X2)|~rpoint(X1)),inference(sr,[status(thm)],[6498,182,theory(equality)])).
% cnf(16835,plain,(vd1361=vd1362|rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))|~rpoint(vd1362)|~rpoint(vd1361)),inference(spm,[status(thm)],[6499,233,theory(equality)])).
% cnf(16867,plain,(vd1361=vd1362|rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))|$false|~rpoint(vd1361)),inference(rw,[status(thm)],[16835,846,theory(equality)])).
% cnf(16868,plain,(vd1361=vd1362|rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))|$false|$false),inference(rw,[status(thm)],[16867,848,theory(equality)])).
% cnf(16869,plain,(vd1361=vd1362|rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))),inference(cn,[status(thm)],[16868,theory(equality)])).
% cnf(16870,plain,(rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))),inference(sr,[status(thm)],[16869,183,theory(equality)])).
% cnf(184756,plain,(vd1363=vd1361|vd1361=vd1362|rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)|~rpoint(vd1362)|~rpoint(vd1361)|~rpoint(vd1363)),inference(spm,[status(thm)],[5805,233,theory(equality)])).
% cnf(185892,plain,(vd1363=vd1361|vd1361=vd1362|rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)|$false|~rpoint(vd1361)|~rpoint(vd1363)),inference(rw,[status(thm)],[184756,846,theory(equality)])).
% cnf(185893,plain,(vd1363=vd1361|vd1361=vd1362|rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)|$false|$false|~rpoint(vd1363)),inference(rw,[status(thm)],[185892,848,theory(equality)])).
% cnf(185894,plain,(vd1363=vd1361|vd1361=vd1362|rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)|$false|$false|$false),inference(rw,[status(thm)],[185893,847,theory(equality)])).
% cnf(185895,plain,(vd1363=vd1361|vd1361=vd1362|rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)),inference(cn,[status(thm)],[185894,theory(equality)])).
% cnf(185896,plain,(vd1362=vd1361|rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)),inference(sr,[status(thm)],[185895,182,theory(equality)])).
% cnf(185897,plain,(rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1363,vd1361)),inference(sr,[status(thm)],[185896,183,theory(equality)])).
% cnf(185900,plain,(rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)|~rpoint(vd1363)|~rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))|~rpoint(vd1361)),inference(spm,[status(thm)],[956,185897,theory(equality)])).
% cnf(185929,plain,(rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)|$false|~rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))|~rpoint(vd1361)),inference(rw,[status(thm)],[185900,847,theory(equality)])).
% cnf(185930,plain,(rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)|$false|$false|~rpoint(vd1361)),inference(rw,[status(thm)],[185929,16870,theory(equality)])).
% cnf(185931,plain,(rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)|$false|$false|$false),inference(rw,[status(thm)],[185930,848,theory(equality)])).
% cnf(185932,plain,(rR(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362),vd1361,vd1363)),inference(cn,[status(thm)],[185931,theory(equality)])).
% cnf(186033,negated_conjecture,(vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))!=vf(vd1361,vd1362)|~rpoint(vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))),inference(spm,[status(thm)],[845,185932,theory(equality)])).
% cnf(186121,negated_conjecture,(vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))!=vf(vd1361,vd1362)|$false),inference(rw,[status(thm)],[186033,16870,theory(equality)])).
% cnf(186122,negated_conjecture,(vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))!=vf(vd1361,vd1362)),inference(cn,[status(thm)],[186121,theory(equality)])).
% cnf(204169,plain,(vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))=vf(vd1361,vd1362)|vd1363=vd1361|vd1361=vd1362|~rpoint(vd1362)|~rpoint(vd1361)|~rpoint(vd1363)),inference(spm,[status(thm)],[6147,233,theory(equality)])).
% cnf(205305,plain,(vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))=vf(vd1361,vd1362)|vd1363=vd1361|vd1361=vd1362|$false|~rpoint(vd1361)|~rpoint(vd1363)),inference(rw,[status(thm)],[204169,846,theory(equality)])).
% cnf(205306,plain,(vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))=vf(vd1361,vd1362)|vd1363=vd1361|vd1361=vd1362|$false|$false|~rpoint(vd1363)),inference(rw,[status(thm)],[205305,848,theory(equality)])).
% cnf(205307,plain,(vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))=vf(vd1361,vd1362)|vd1363=vd1361|vd1361=vd1362|$false|$false|$false),inference(rw,[status(thm)],[205306,847,theory(equality)])).
% cnf(205308,plain,(vf(vd1363,vskolem1120(vd1363,vd1363,vd1361,vd1361,vd1361,vd1361,vd1362,vd1362))=vf(vd1361,vd1362)|vd1363=vd1361|vd1361=vd1362),inference(cn,[status(thm)],[205307,theory(equality)])).
% cnf(205309,plain,(vd1363=vd1361|vd1362=vd1361),inference(sr,[status(thm)],[205308,186122,theory(equality)])).
% cnf(205310,plain,(vd1362=vd1361),inference(sr,[status(thm)],[205309,182,theory(equality)])).
% cnf(205311,plain,($false),inference(sr,[status(thm)],[205310,183,theory(equality)])).
% cnf(205312,plain,($false),205311,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 9306
% # ...of these trivial : 211
% # ...subsumed : 3647
% # ...remaining for further processing: 5448
% # Other redundant clauses eliminated : 1194
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 930
% # Backward-rewritten : 400
% # Generated clauses : 65006
% # ...of the previous two non-trivial : 62391
% # Contextual simplify-reflections : 2065
% # Paramodulations : 64680
% # Factorizations : 16
% # Equation resolutions : 1250
% # Current number of processed clauses: 3864
% # Positive orientable unit clauses: 638
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 140
% # Non-unit-clauses : 3086
% # Current number of unprocessed clauses: 51135
% # ...number of literals in the above : 437803
% # Clause-clause subsumption calls (NU) : 223697
% # Rec. Clause-clause subsumption calls : 87096
% # Unit Clause-clause subsumption calls : 13347
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 11710
% # Indexed BW rewrite successes : 171
% # Backwards rewriting index: 1665 leaves, 2.57+/-5.803 terms/leaf
% # Paramod-from index: 497 leaves, 2.74+/-6.963 terms/leaf
% # Paramod-into index: 1096 leaves, 2.56+/-6.026 terms/leaf
% # -------------------------------------------------
% # User time : 7.790 s
% # System time : 0.198 s
% # Total time : 7.988 s
% # Maximum resident set size: 0 pages
% PrfWatch: 12.29 CPU 13.18 WC
% FINAL PrfWatch: 12.29 CPU 13.18 WC
% SZS output end Solution for /tmp/SystemOnTPTP29330/GEO336+1.tptp
%
%------------------------------------------------------------------------------