TSTP Solution File: LCL898+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : LCL898+1 : TPTP v5.5.0. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art08.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2005MB
% OS : Linux 2.6.32.26-175.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Mon Oct 22 19:08:44 EDT 2012
% Result : Theorem 41.17s
% Output : Solution 41.17s
% 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/SystemOnTPTP30988/LCL898+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP30988/LCL898+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP30988/LCL898+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.6/eproof_ram --print-statistics --auto --cpu-limit=60 --memory-limit=1024 --tstp-format /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 31103
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.90 CPU 2.03 WC
% PrfWatch: 3.91 CPU 4.05 WC
% PrfWatch: 5.90 CPU 6.07 WC
% PrfWatch: 7.91 CPU 8.09 WC
% PrfWatch: 9.92 CPU 10.10 WC
% PrfWatch: 11.91 CPU 12.13 WC
% PrfWatch: 13.73 CPU 14.14 WC
% PrfWatch: 15.58 CPU 16.16 WC
% PrfWatch: 17.58 CPU 18.18 WC
% PrfWatch: 19.59 CPU 20.21 WC
% PrfWatch: 21.59 CPU 22.22 WC
% PrfWatch: 23.60 CPU 24.25 WC
% PrfWatch: 25.60 CPU 26.27 WC
% PrfWatch: 27.60 CPU 28.29 WC
% PrfWatch: 29.42 CPU 30.30 WC
% PrfWatch: 31.25 CPU 32.33 WC
% PrfWatch: 33.27 CPU 34.34 WC
% PrfWatch: 35.27 CPU 36.36 WC
% PrfWatch: 37.27 CPU 38.38 WC
% PrfWatch: 39.27 CPU 40.40 WC
% # No SinE strategy applied
% # Auto-Ordering is analysing problem.
% # Problem is type HUSMGFFSF22MS
% # Auto-mode selected ordering type KBO6
% # Auto-mode selected ordering precedence scheme <invfreq>
% # Auto-mode selected weight ordering scheme <invfreqrank>
% #
% # Auto-Heuristic is analysing problem.
% # Problem is type HUSMGFFSF22MS
% # Auto-Mode selected heuristic H_____102_C18_F1_PI_AE_Q4_CS_SP_PS_S2S
% # and selection function SelectNewComplexAHP.
% #
% # Initializing proof state
% # Scanning for AC axioms
% # '+' is AC
% # AC handling enabled
% # Presaturation interreduction done
% # Proof found!
% # SZS status Theorem
% # Parsed axioms : 15
% # Removed by relevancy pruning/SinE : 0
% # Initial clauses : 16
% # Removed in clause preprocessing : 0
% # Initial clauses in saturation : 16
% # Processed clauses : 20071
% # ...of these trivial : 3259
% # ...subsumed : 15063
% # ...remaining for further processing: 1749
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 3
% # Backward-rewritten : 254
% # Generated clauses : 722643
% # ...of the previous two non-trivial : 483911
% # Contextual simplify-reflections : 0
% # Paramodulations : 722643
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 1476
% # Positive orientable unit clauses: 1068
% # Positive unorientable unit clauses: 24
% # Negative unit clauses : 0
% # Non-unit-clauses : 384
% # Current number of unprocessed clauses: 433407
% # ...number of literals in the above : 487042
% # Clause-clause subsumption calls (NU) : 78179
% # Rec. Clause-clause subsumption calls : 78089
% # Non-unit clause-clause subsumptions: 14653
% # Unit Clause-clause subsumption calls : 1398
% # Rewrite failures with RHS unbound : 0
% # BW rewrite match attempts : 47195
% # BW rewrite match successes : 770
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:'+'(X1,'==>'(X1,X2))='+'(X2,'==>'(X2,X1)),file('/tmp/SRASS.s.p', sos_12)).
% fof(2, axiom,![X3]:![X4]:![X5]:('>='(X3,X4)=>'>='('==>'(X4,X5),'==>'(X3,X5))),file('/tmp/SRASS.s.p', sos_10)).
% fof(3, axiom,![X6]:![X7]:![X8]:('>='(X6,X7)=>'>='('==>'(X8,X6),'==>'(X8,X7))),file('/tmp/SRASS.s.p', sos_11)).
% fof(4, axiom,![X1]:'==>'('==>'(X1,'1'),'1')=X1,file('/tmp/SRASS.s.p', sos_13)).
% fof(5, axiom,![X9]:![X10]:(('>='(X9,X10)&'>='(X10,X9))=>X9=X10),file('/tmp/SRASS.s.p', sos_06)).
% fof(6, axiom,![X1]:![X2]:![X11]:'+'('+'(X1,X2),X11)='+'(X1,'+'(X2,X11)),file('/tmp/SRASS.s.p', sos_01)).
% fof(7, axiom,![X1]:![X2]:'+'(X1,X2)='+'(X2,X1),file('/tmp/SRASS.s.p', sos_02)).
% fof(8, axiom,![X1]:'>='(X1,X1),file('/tmp/SRASS.s.p', sos_04)).
% fof(10, axiom,![X1]:'+'(X1,'1')='1',file('/tmp/SRASS.s.p', sos_14)).
% fof(11, axiom,![X15]:![X16]:![X17]:('>='('+'(X15,X16),X17)<=>'>='(X16,'==>'(X15,X17))),file('/tmp/SRASS.s.p', sos_07)).
% fof(12, axiom,![X1]:'+'(X1,'0')=X1,file('/tmp/SRASS.s.p', sos_03)).
% fof(14, axiom,![X1]:'>='(X1,'0'),file('/tmp/SRASS.s.p', sos_08)).
% fof(15, conjecture,![X21]:![X22]:'==>'('==>'(X21,X22),X22)='==>'('==>'(X22,X21),X21),file('/tmp/SRASS.s.p', goals_15)).
% fof(16, negated_conjecture,~(![X21]:![X22]:'==>'('==>'(X21,X22),X22)='==>'('==>'(X22,X21),X21)),inference(assume_negation,[status(cth)],[15])).
% fof(17, plain,![X3]:![X4]:'+'(X3,'==>'(X3,X4))='+'(X4,'==>'(X4,X3)),inference(variable_rename,[status(thm)],[1])).
% cnf(18,plain,('+'(X1,'==>'(X1,X2))='+'(X2,'==>'(X2,X1))),inference(split_conjunct,[status(thm)],[17])).
% fof(19, plain,![X3]:![X4]:![X5]:(~('>='(X3,X4))|'>='('==>'(X4,X5),'==>'(X3,X5))),inference(fof_nnf,[status(thm)],[2])).
% fof(20, plain,![X3]:![X4]:(~('>='(X3,X4))|![X5]:'>='('==>'(X4,X5),'==>'(X3,X5))),inference(shift_quantors,[status(thm)],[19])).
% fof(21, plain,![X6]:![X7]:(~('>='(X6,X7))|![X8]:'>='('==>'(X7,X8),'==>'(X6,X8))),inference(variable_rename,[status(thm)],[20])).
% fof(22, plain,![X6]:![X7]:![X8]:(~('>='(X6,X7))|'>='('==>'(X7,X8),'==>'(X6,X8))),inference(shift_quantors,[status(thm)],[21])).
% cnf(23,plain,('>='('==>'(X1,X2),'==>'(X3,X2))|~'>='(X3,X1)),inference(split_conjunct,[status(thm)],[22])).
% fof(24, plain,![X6]:![X7]:![X8]:(~('>='(X6,X7))|'>='('==>'(X8,X6),'==>'(X8,X7))),inference(fof_nnf,[status(thm)],[3])).
% fof(25, plain,![X6]:![X7]:(~('>='(X6,X7))|![X8]:'>='('==>'(X8,X6),'==>'(X8,X7))),inference(shift_quantors,[status(thm)],[24])).
% fof(26, plain,![X9]:![X10]:(~('>='(X9,X10))|![X11]:'>='('==>'(X11,X9),'==>'(X11,X10))),inference(variable_rename,[status(thm)],[25])).
% fof(27, plain,![X9]:![X10]:![X11]:(~('>='(X9,X10))|'>='('==>'(X11,X9),'==>'(X11,X10))),inference(shift_quantors,[status(thm)],[26])).
% cnf(28,plain,('>='('==>'(X1,X2),'==>'(X1,X3))|~'>='(X2,X3)),inference(split_conjunct,[status(thm)],[27])).
% fof(29, plain,![X2]:'==>'('==>'(X2,'1'),'1')=X2,inference(variable_rename,[status(thm)],[4])).
% cnf(30,plain,('==>'('==>'(X1,'1'),'1')=X1),inference(split_conjunct,[status(thm)],[29])).
% fof(31, plain,![X9]:![X10]:((~('>='(X9,X10))|~('>='(X10,X9)))|X9=X10),inference(fof_nnf,[status(thm)],[5])).
% fof(32, plain,![X11]:![X12]:((~('>='(X11,X12))|~('>='(X12,X11)))|X11=X12),inference(variable_rename,[status(thm)],[31])).
% cnf(33,plain,(X1=X2|~'>='(X2,X1)|~'>='(X1,X2)),inference(split_conjunct,[status(thm)],[32])).
% fof(34, plain,![X12]:![X13]:![X14]:'+'('+'(X12,X13),X14)='+'(X12,'+'(X13,X14)),inference(variable_rename,[status(thm)],[6])).
% cnf(35,plain,('+'('+'(X1,X2),X3)='+'(X1,'+'(X2,X3))),inference(split_conjunct,[status(thm)],[34])).
% fof(36, plain,![X3]:![X4]:'+'(X3,X4)='+'(X4,X3),inference(variable_rename,[status(thm)],[7])).
% cnf(37,plain,('+'(X1,X2)='+'(X2,X1)),inference(split_conjunct,[status(thm)],[36])).
% fof(38, plain,![X2]:'>='(X2,X2),inference(variable_rename,[status(thm)],[8])).
% cnf(39,plain,('>='(X1,X1)),inference(split_conjunct,[status(thm)],[38])).
% fof(43, plain,![X2]:'+'(X2,'1')='1',inference(variable_rename,[status(thm)],[10])).
% cnf(44,plain,('+'(X1,'1')='1'),inference(split_conjunct,[status(thm)],[43])).
% fof(45, plain,![X15]:![X16]:![X17]:((~('>='('+'(X15,X16),X17))|'>='(X16,'==>'(X15,X17)))&(~('>='(X16,'==>'(X15,X17)))|'>='('+'(X15,X16),X17))),inference(fof_nnf,[status(thm)],[11])).
% fof(46, plain,(![X15]:![X16]:![X17]:(~('>='('+'(X15,X16),X17))|'>='(X16,'==>'(X15,X17)))&![X15]:![X16]:![X17]:(~('>='(X16,'==>'(X15,X17)))|'>='('+'(X15,X16),X17))),inference(shift_quantors,[status(thm)],[45])).
% fof(47, plain,(![X18]:![X19]:![X20]:(~('>='('+'(X18,X19),X20))|'>='(X19,'==>'(X18,X20)))&![X21]:![X22]:![X23]:(~('>='(X22,'==>'(X21,X23)))|'>='('+'(X21,X22),X23))),inference(variable_rename,[status(thm)],[46])).
% fof(48, plain,![X18]:![X19]:![X20]:![X21]:![X22]:![X23]:((~('>='('+'(X18,X19),X20))|'>='(X19,'==>'(X18,X20)))&(~('>='(X22,'==>'(X21,X23)))|'>='('+'(X21,X22),X23))),inference(shift_quantors,[status(thm)],[47])).
% cnf(49,plain,('>='('+'(X1,X2),X3)|~'>='(X2,'==>'(X1,X3))),inference(split_conjunct,[status(thm)],[48])).
% cnf(50,plain,('>='(X1,'==>'(X2,X3))|~'>='('+'(X2,X1),X3)),inference(split_conjunct,[status(thm)],[48])).
% fof(51, plain,![X2]:'+'(X2,'0')=X2,inference(variable_rename,[status(thm)],[12])).
% cnf(52,plain,('+'(X1,'0')=X1),inference(split_conjunct,[status(thm)],[51])).
% fof(58, plain,![X2]:'>='(X2,'0'),inference(variable_rename,[status(thm)],[14])).
% cnf(59,plain,('>='(X1,'0')),inference(split_conjunct,[status(thm)],[58])).
% fof(60, negated_conjecture,?[X21]:?[X22]:~('==>'('==>'(X21,X22),X22)='==>'('==>'(X22,X21),X21)),inference(fof_nnf,[status(thm)],[16])).
% fof(61, negated_conjecture,?[X23]:?[X24]:~('==>'('==>'(X23,X24),X24)='==>'('==>'(X24,X23),X23)),inference(variable_rename,[status(thm)],[60])).
% fof(62, negated_conjecture,~('==>'('==>'(esk1_0,esk2_0),esk2_0)='==>'('==>'(esk2_0,esk1_0),esk1_0)),inference(skolemize,[status(esa)],[61])).
% cnf(63,negated_conjecture,('==>'('==>'(esk1_0,esk2_0),esk2_0)!='==>'('==>'(esk2_0,esk1_0),esk1_0)),inference(split_conjunct,[status(thm)],[62])).
% cnf(65,plain,('+'('0',X1)=X1),inference(spm,[status(thm)],[52,37,theory(equality)])).
% cnf(66,plain,('+'('1',X1)='1'),inference(spm,[status(thm)],[44,37,theory(equality)])).
% cnf(79,plain,('+'('+'(X2,X1),X3)='+'(X1,'+'(X2,X3))),inference(spm,[status(thm)],[35,37,theory(equality)])).
% cnf(85,plain,('+'(X2,'+'(X1,X3))='+'(X1,'+'(X2,X3))),inference(rw,[status(thm)],[79,35,theory(equality)])).
% cnf(87,plain,('>='('==>'('0',X1),'==>'(X2,X1))),inference(spm,[status(thm)],[23,59,theory(equality)])).
% cnf(94,plain,('>='('+'(X1,'==>'(X1,X2)),X2)),inference(spm,[status(thm)],[49,39,theory(equality)])).
% cnf(99,plain,('+'('+'(X2,'==>'(X2,X1)),X3)='+'(X1,'+'('==>'(X1,X2),X3))),inference(spm,[status(thm)],[35,18,theory(equality)])).
% cnf(104,plain,('+'(X2,'+'('==>'(X2,X1),X3))='+'(X1,'+'('==>'(X1,X2),X3))),inference(rw,[status(thm)],[99,35,theory(equality)])).
% cnf(107,plain,('>='('0','==>'(X1,X2))|~'>='(X1,X2)),inference(spm,[status(thm)],[50,52,theory(equality)])).
% cnf(111,plain,('>='(X1,'==>'(X2,X3))|~'>='('+'(X1,X2),X3)),inference(spm,[status(thm)],[50,37,theory(equality)])).
% cnf(114,plain,('>='(X1,'==>'(X2,'+'(X2,X1)))),inference(spm,[status(thm)],[50,39,theory(equality)])).
% cnf(115,plain,('1'='+'(X1,'==>'(X1,'1'))),inference(spm,[status(thm)],[18,66,theory(equality)])).
% cnf(135,plain,('>='('0','==>'(X1,'0'))),inference(spm,[status(thm)],[107,59,theory(equality)])).
% cnf(136,plain,('>='('0','==>'(X1,X1))),inference(spm,[status(thm)],[107,39,theory(equality)])).
% cnf(154,plain,('>='(X1,'==>'(X2,'+'(X1,X2)))),inference(spm,[status(thm)],[111,39,theory(equality)])).
% cnf(155,plain,('==>'(X1,'0')='0'|~'>='('==>'(X1,'0'),'0')),inference(spm,[status(thm)],[33,135,theory(equality)])).
% cnf(164,plain,('==>'(X1,'0')='0'|$false),inference(rw,[status(thm)],[155,59,theory(equality)])).
% cnf(165,plain,('==>'(X1,'0')='0'),inference(cn,[status(thm)],[164,theory(equality)])).
% cnf(170,plain,('+'(X1,'0')='+'('0','==>'('0',X1))),inference(spm,[status(thm)],[18,165,theory(equality)])).
% cnf(174,plain,(X1='+'('0','==>'('0',X1))),inference(rw,[status(thm)],[170,52,theory(equality)])).
% cnf(175,plain,(X1='==>'('0',X1)),inference(rw,[status(thm)],[174,65,theory(equality)])).
% cnf(192,plain,('>='(X1,'==>'(X2,X1))),inference(rw,[status(thm)],[87,175,theory(equality)])).
% cnf(206,plain,('>='('1',X1)),inference(spm,[status(thm)],[192,30,theory(equality)])).
% cnf(227,plain,('>='('0','==>'('1',X1))),inference(spm,[status(thm)],[107,206,theory(equality)])).
% cnf(240,plain,('==>'('1',X1)='0'|~'>='('==>'('1',X1),'0')),inference(spm,[status(thm)],[33,227,theory(equality)])).
% cnf(250,plain,('==>'('1',X1)='0'|$false),inference(rw,[status(thm)],[240,59,theory(equality)])).
% cnf(251,plain,('==>'('1',X1)='0'),inference(cn,[status(thm)],[250,theory(equality)])).
% cnf(275,plain,('==>'(X1,X1)='0'|~'>='('==>'(X1,X1),'0')),inference(spm,[status(thm)],[33,136,theory(equality)])).
% cnf(286,plain,('==>'(X1,X1)='0'|$false),inference(rw,[status(thm)],[275,59,theory(equality)])).
% cnf(287,plain,('==>'(X1,X1)='0'),inference(cn,[status(thm)],[286,theory(equality)])).
% cnf(302,plain,('>='('+'(X1,X2),X1)|~'>='(X2,'0')),inference(spm,[status(thm)],[49,287,theory(equality)])).
% cnf(310,plain,('>='('+'(X1,X2),X1)|$false),inference(rw,[status(thm)],[302,59,theory(equality)])).
% cnf(311,plain,('>='('+'(X1,X2),X1)),inference(cn,[status(thm)],[310,theory(equality)])).
% cnf(316,plain,('+'('1',X2)='+'(X1,'+'('==>'(X1,'1'),X2))),inference(spm,[status(thm)],[35,115,theory(equality)])).
% cnf(326,plain,('1'='+'(X1,'+'('==>'(X1,'1'),X2))),inference(rw,[status(thm)],[316,66,theory(equality)])).
% cnf(371,plain,('>='(X1,'==>'('==>'(X1,X2),X2))),inference(spm,[status(thm)],[111,94,theory(equality)])).
% cnf(437,plain,('>='('==>'(X1,'+'(X2,X3)),'==>'(X1,X2))),inference(spm,[status(thm)],[28,311,theory(equality)])).
% cnf(522,plain,('>='(X1,'==>'(X2,'==>'(X3,'+'(X3,'+'(X2,X1)))))),inference(spm,[status(thm)],[50,114,theory(equality)])).
% cnf(534,plain,('>='(X1,'==>'('+'(X2,X3),'+'(X2,'+'(X3,X1))))),inference(spm,[status(thm)],[114,35,theory(equality)])).
% cnf(538,plain,('>='('==>'(X1,X2),'==>'(X1,'+'(X2,'==>'(X2,X1))))),inference(spm,[status(thm)],[114,18,theory(equality)])).
% cnf(921,plain,('+'(X1,'+'(X2,'==>'(X2,'==>'(X1,'1'))))='1'),inference(spm,[status(thm)],[326,18,theory(equality)])).
% cnf(923,plain,('+'(X1,'+'(X2,'==>'(X1,'1')))='1'),inference(spm,[status(thm)],[326,37,theory(equality)])).
% cnf(1073,plain,('>='('+'(X1,X2),'+'(X2,X1))),inference(spm,[status(thm)],[49,154,theory(equality)])).
% cnf(1233,plain,('>='('0','==>'(X1,'==>'('==>'(X1,X2),X2)))),inference(spm,[status(thm)],[107,371,theory(equality)])).
% cnf(1794,plain,('>='('0','==>'('+'(X1,X2),'+'(X2,X1)))),inference(spm,[status(thm)],[107,1073,theory(equality)])).
% cnf(3392,plain,('+'(X2,'+'('==>'(X2,X1),'==>'(X1,'1')))='1'),inference(spm,[status(thm)],[923,104,theory(equality)])).
% cnf(5457,plain,('==>'(X1,'==>'('==>'(X1,X2),X2))='0'|~'>='('==>'(X1,'==>'('==>'(X1,X2),X2)),'0')),inference(spm,[status(thm)],[33,1233,theory(equality)])).
% cnf(5497,plain,('==>'(X1,'==>'('==>'(X1,X2),X2))='0'|$false),inference(rw,[status(thm)],[5457,59,theory(equality)])).
% cnf(5498,plain,('==>'(X1,'==>'('==>'(X1,X2),X2))='0'),inference(cn,[status(thm)],[5497,theory(equality)])).
% cnf(6708,plain,('==>'('+'(X1,X2),'+'(X2,X1))='0'|~'>='('==>'('+'(X1,X2),'+'(X2,X1)),'0')),inference(spm,[status(thm)],[33,1794,theory(equality)])).
% cnf(6770,plain,('==>'('+'(X1,X2),'+'(X2,X1))='0'|$false),inference(rw,[status(thm)],[6708,59,theory(equality)])).
% cnf(6771,plain,('==>'('+'(X1,X2),'+'(X2,X1))='0'),inference(cn,[status(thm)],[6770,theory(equality)])).
% cnf(12069,plain,('1'='+'(X2,'+'(X1,'==>'(X2,'==>'(X1,'1'))))),inference(spm,[status(thm)],[85,921,theory(equality)])).
% cnf(13696,plain,('==>'(X1,'+'(X2,'==>'(X2,X1)))='==>'(X1,X2)|~'>='('==>'(X1,'+'(X2,'==>'(X2,X1))),'==>'(X1,X2))),inference(spm,[status(thm)],[33,538,theory(equality)])).
% cnf(13776,plain,('==>'(X1,'+'(X2,'==>'(X2,X1)))='==>'(X1,X2)|$false),inference(rw,[status(thm)],[13696,437,theory(equality)])).
% cnf(13777,plain,('==>'(X1,'+'(X2,'==>'(X2,X1)))='==>'(X1,X2)),inference(cn,[status(thm)],[13776,theory(equality)])).
% cnf(20917,plain,('+'('+'(X1,X2),'+'('0','==>'('+'(X2,X1),'1')))='1'),inference(spm,[status(thm)],[3392,6771,theory(equality)])).
% cnf(21094,plain,('+'(X1,'+'(X2,'==>'('+'(X2,X1),'1')))='1'),inference(rw,[status(thm)],[inference(rw,[status(thm)],[20917,65,theory(equality)]),35,theory(equality)])).
% cnf(26552,plain,('>='('==>'(X1,'==>'(X2,'1')),'==>'('+'(X1,X2),'1'))),inference(spm,[status(thm)],[534,12069,theory(equality)])).
% cnf(26563,plain,('>='('==>'(X1,'==>'(X2,'1')),'==>'(X2,'==>'(X1,'1')))),inference(spm,[status(thm)],[522,12069,theory(equality)])).
% cnf(31850,plain,('>='('==>'('+'(X1,X2),'1'),'==>'(X1,'==>'(X2,'1')))),inference(spm,[status(thm)],[522,21094,theory(equality)])).
% cnf(123834,plain,('==>'(X1,'==>'(X2,'1'))='==>'(X2,'==>'(X1,'1'))|~'>='('==>'(X1,'==>'(X2,'1')),'==>'(X2,'==>'(X1,'1')))),inference(spm,[status(thm)],[33,26563,theory(equality)])).
% cnf(124002,plain,('==>'(X1,'==>'(X2,'1'))='==>'(X2,'==>'(X1,'1'))|$false),inference(rw,[status(thm)],[123834,26563,theory(equality)])).
% cnf(124003,plain,('==>'(X1,'==>'(X2,'1'))='==>'(X2,'==>'(X1,'1'))),inference(cn,[status(thm)],[124002,theory(equality)])).
% cnf(124961,plain,('==>'('==>'(X1,'1'),'==>'(X2,'1'))='==>'(X2,X1)),inference(spm,[status(thm)],[124003,30,theory(equality)])).
% cnf(125774,plain,('==>'('==>'(X1,'1'),X2)='==>'('==>'(X2,'1'),X1)),inference(spm,[status(thm)],[124961,30,theory(equality)])).
% cnf(145619,plain,('==>'(X1,'==>'(X2,'1'))='==>'('+'(X1,X2),'1')|~'>='('==>'(X1,'==>'(X2,'1')),'==>'('+'(X1,X2),'1'))),inference(spm,[status(thm)],[33,31850,theory(equality)])).
% cnf(145804,plain,('==>'(X1,'==>'(X2,'1'))='==>'('+'(X1,X2),'1')|$false),inference(rw,[status(thm)],[145619,26552,theory(equality)])).
% cnf(145805,plain,('==>'(X1,'==>'(X2,'1'))='==>'('+'(X1,X2),'1')),inference(cn,[status(thm)],[145804,theory(equality)])).
% cnf(146151,plain,('==>'('==>'(X1,'==>'(X2,'1')),'1')='+'(X1,X2)),inference(spm,[status(thm)],[30,145805,theory(equality)])).
% cnf(147147,plain,('==>'('==>'(X1,'==>'('==>'('1','1'),X2)),'1')='+'(X1,'==>'(X2,'1'))),inference(spm,[status(thm)],[146151,125774,theory(equality)])).
% cnf(147524,plain,('==>'('==>'(X1,X2),'1')='+'(X1,'==>'(X2,'1'))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[147147,251,theory(equality)]),175,theory(equality)])).
% cnf(147866,plain,('==>'('==>'(X1,'1'),'+'(X2,'==>'(X3,'1')))='==>'('==>'(X2,X3),X1)),inference(spm,[status(thm)],[124961,147524,theory(equality)])).
% cnf(154268,plain,('==>'('==>'(X1,'1'),'+'('==>'(X3,'1'),X2))='==>'('==>'(X2,X3),X1)),inference(spm,[status(thm)],[147866,37,theory(equality)])).
% cnf(158456,plain,('==>'('==>'('==>'('==>'(X2,'1'),'==>'(X1,'1')),X2),X1)='==>'('==>'(X1,'1'),'==>'(X2,'1'))),inference(spm,[status(thm)],[13777,154268,theory(equality)])).
% cnf(158765,plain,('==>'('==>'('==>'(X1,X2),X2),X1)='==>'('==>'(X1,'1'),'==>'(X2,'1'))),inference(rw,[status(thm)],[158456,124961,theory(equality)])).
% cnf(158766,plain,('==>'('==>'('==>'(X1,X2),X2),X1)='==>'(X2,X1)),inference(rw,[status(thm)],[158765,124961,theory(equality)])).
% cnf(159414,plain,('+'('==>'('==>'(X1,X2),X2),'==>'(X2,X1))='+'(X1,'==>'(X1,'==>'('==>'(X1,X2),X2)))),inference(spm,[status(thm)],[18,158766,theory(equality)])).
% cnf(159884,plain,('+'('==>'('==>'(X1,X2),X2),'==>'(X2,X1))=X1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[159414,5498,theory(equality)]),52,theory(equality)])).
% cnf(193416,plain,('+'('==>'(X2,X1),'==>'('==>'(X1,X2),X2))=X1),inference(rw,[status(thm)],[159884,37,theory(equality)])).
% cnf(193856,plain,('+'('==>'(X1,'==>'('==>'(X1,X2),X2)),'==>'('==>'(X2,X1),X1))='==>'('==>'(X1,X2),X2)),inference(spm,[status(thm)],[193416,158766,theory(equality)])).
% cnf(194155,plain,('==>'('==>'(X2,X1),X1)='==>'('==>'(X1,X2),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[193856,5498,theory(equality)]),65,theory(equality)])).
% cnf(1180121,negated_conjecture,($false),inference(rw,[status(thm)],[63,194155,theory(equality)])).
% cnf(1180122,negated_conjecture,($false),inference(cn,[status(thm)],[1180121,theory(equality)])).
% cnf(1180123,negated_conjecture,($false),1180122,['proof']).
% # SZS output end CNFRefutation
% PrfWatch: 40.48 CPU 41.63 WC
% FINAL PrfWatch: 40.48 CPU 41.63 WC
% SZS output end Solution for /tmp/SystemOnTPTP30988/LCL898+1.tptp
%
%------------------------------------------------------------------------------