TSTP Solution File: LCL900+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : LCL900+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 : art10.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 19:09:03 EDT 2012
% Result : Theorem 29.66s
% Output : Solution 29.66s
% 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/SystemOnTPTP1805/LCL900+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP1805/LCL900+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP1805/LCL900+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 1919
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.91 CPU 2.04 WC
% PrfWatch: 3.91 CPU 4.05 WC
% PrfWatch: 5.91 CPU 6.07 WC
% PrfWatch: 7.92 CPU 8.09 WC
% PrfWatch: 9.92 CPU 10.11 WC
% PrfWatch: 11.91 CPU 12.13 WC
% PrfWatch: 13.92 CPU 14.15 WC
% PrfWatch: 15.92 CPU 16.17 WC
% PrfWatch: 17.92 CPU 18.19 WC
% PrfWatch: 19.93 CPU 20.21 WC
% PrfWatch: 21.94 CPU 22.22 WC
% PrfWatch: 23.75 CPU 24.24 WC
% PrfWatch: 25.58 CPU 26.26 WC
% PrfWatch: 27.58 CPU 28.28 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 : 14
% # Removed by relevancy pruning/SinE : 0
% # Initial clauses : 15
% # Removed in clause preprocessing : 0
% # Initial clauses in saturation : 15
% # Processed clauses : 19048
% # ...of these trivial : 3021
% # ...subsumed : 14434
% # ...remaining for further processing: 1593
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 1
% # Backward-rewritten : 286
% # Generated clauses : 547804
% # ...of the previous two non-trivial : 317376
% # Contextual simplify-reflections : 0
% # Paramodulations : 547804
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 1291
% # Positive orientable unit clauses: 978
% # Positive unorientable unit clauses: 8
% # Negative unit clauses : 0
% # Non-unit-clauses : 305
% # Current number of unprocessed clauses: 265208
% # ...number of literals in the above : 295683
% # Clause-clause subsumption calls (NU) : 58595
% # Rec. Clause-clause subsumption calls : 58434
% # Non-unit clause-clause subsumptions: 14190
% # Unit Clause-clause subsumption calls : 1556
% # Rewrite failures with RHS unbound : 0
% # BW rewrite match attempts : 32339
% # BW rewrite match successes : 535
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:![X3]:'+'('+'(X1,X2),X3)='+'(X1,'+'(X2,X3)),file('/tmp/SRASS.s.p', sos_01)).
% fof(2, axiom,![X1]:![X2]:'+'(X1,X2)='+'(X2,X1),file('/tmp/SRASS.s.p', sos_02)).
% fof(3, axiom,![X1]:![X2]:'==>'('==>'(X1,X2),X2)='==>'('==>'(X2,X1),X1),file('/tmp/SRASS.s.p', sos_13)).
% fof(4, axiom,![X4]:![X5]:![X6]:('>='('+'(X4,X5),X6)<=>'>='(X5,'==>'(X4,X6))),file('/tmp/SRASS.s.p', sos_07)).
% fof(5, axiom,![X7]:![X8]:![X9]:('>='(X7,X8)=>'>='('==>'(X8,X9),'==>'(X7,X9))),file('/tmp/SRASS.s.p', sos_10)).
% fof(6, axiom,![X10]:![X11]:![X12]:('>='(X10,X11)=>'>='('==>'(X12,X10),'==>'(X12,X11))),file('/tmp/SRASS.s.p', sos_11)).
% fof(7, axiom,![X13]:![X14]:(('>='(X13,X14)&'>='(X14,X13))=>X13=X14),file('/tmp/SRASS.s.p', sos_06)).
% fof(8, axiom,![X15]:![X16]:![X17]:('>='(X15,X16)=>'>='('+'(X15,X17),'+'(X16,X17))),file('/tmp/SRASS.s.p', sos_09)).
% fof(9, axiom,![X1]:'+'(X1,'0')=X1,file('/tmp/SRASS.s.p', sos_03)).
% fof(10, axiom,![X1]:'+'(X1,'1')='1',file('/tmp/SRASS.s.p', sos_12)).
% fof(11, axiom,![X1]:'>='(X1,X1),file('/tmp/SRASS.s.p', sos_04)).
% fof(13, axiom,![X1]:'>='(X1,'0'),file('/tmp/SRASS.s.p', sos_08)).
% fof(14, conjecture,![X21]:![X22]:'+'(X21,'==>'(X21,X22))='+'(X22,'==>'(X22,X21)),file('/tmp/SRASS.s.p', goals_14)).
% fof(15, negated_conjecture,~(![X21]:![X22]:'+'(X21,'==>'(X21,X22))='+'(X22,'==>'(X22,X21))),inference(assume_negation,[status(cth)],[14])).
% fof(16, plain,![X4]:![X5]:![X6]:'+'('+'(X4,X5),X6)='+'(X4,'+'(X5,X6)),inference(variable_rename,[status(thm)],[1])).
% cnf(17,plain,('+'('+'(X1,X2),X3)='+'(X1,'+'(X2,X3))),inference(split_conjunct,[status(thm)],[16])).
% fof(18, plain,![X3]:![X4]:'+'(X3,X4)='+'(X4,X3),inference(variable_rename,[status(thm)],[2])).
% cnf(19,plain,('+'(X1,X2)='+'(X2,X1)),inference(split_conjunct,[status(thm)],[18])).
% fof(20, plain,![X3]:![X4]:'==>'('==>'(X3,X4),X4)='==>'('==>'(X4,X3),X3),inference(variable_rename,[status(thm)],[3])).
% cnf(21,plain,('==>'('==>'(X1,X2),X2)='==>'('==>'(X2,X1),X1)),inference(split_conjunct,[status(thm)],[20])).
% fof(22, plain,![X4]:![X5]:![X6]:((~('>='('+'(X4,X5),X6))|'>='(X5,'==>'(X4,X6)))&(~('>='(X5,'==>'(X4,X6)))|'>='('+'(X4,X5),X6))),inference(fof_nnf,[status(thm)],[4])).
% fof(23, plain,(![X4]:![X5]:![X6]:(~('>='('+'(X4,X5),X6))|'>='(X5,'==>'(X4,X6)))&![X4]:![X5]:![X6]:(~('>='(X5,'==>'(X4,X6)))|'>='('+'(X4,X5),X6))),inference(shift_quantors,[status(thm)],[22])).
% fof(24, plain,(![X7]:![X8]:![X9]:(~('>='('+'(X7,X8),X9))|'>='(X8,'==>'(X7,X9)))&![X10]:![X11]:![X12]:(~('>='(X11,'==>'(X10,X12)))|'>='('+'(X10,X11),X12))),inference(variable_rename,[status(thm)],[23])).
% fof(25, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:((~('>='('+'(X7,X8),X9))|'>='(X8,'==>'(X7,X9)))&(~('>='(X11,'==>'(X10,X12)))|'>='('+'(X10,X11),X12))),inference(shift_quantors,[status(thm)],[24])).
% cnf(26,plain,('>='('+'(X1,X2),X3)|~'>='(X2,'==>'(X1,X3))),inference(split_conjunct,[status(thm)],[25])).
% cnf(27,plain,('>='(X1,'==>'(X2,X3))|~'>='('+'(X2,X1),X3)),inference(split_conjunct,[status(thm)],[25])).
% fof(28, plain,![X7]:![X8]:![X9]:(~('>='(X7,X8))|'>='('==>'(X8,X9),'==>'(X7,X9))),inference(fof_nnf,[status(thm)],[5])).
% fof(29, plain,![X7]:![X8]:(~('>='(X7,X8))|![X9]:'>='('==>'(X8,X9),'==>'(X7,X9))),inference(shift_quantors,[status(thm)],[28])).
% fof(30, plain,![X10]:![X11]:(~('>='(X10,X11))|![X12]:'>='('==>'(X11,X12),'==>'(X10,X12))),inference(variable_rename,[status(thm)],[29])).
% fof(31, plain,![X10]:![X11]:![X12]:(~('>='(X10,X11))|'>='('==>'(X11,X12),'==>'(X10,X12))),inference(shift_quantors,[status(thm)],[30])).
% cnf(32,plain,('>='('==>'(X1,X2),'==>'(X3,X2))|~'>='(X3,X1)),inference(split_conjunct,[status(thm)],[31])).
% fof(33, plain,![X10]:![X11]:![X12]:(~('>='(X10,X11))|'>='('==>'(X12,X10),'==>'(X12,X11))),inference(fof_nnf,[status(thm)],[6])).
% fof(34, plain,![X10]:![X11]:(~('>='(X10,X11))|![X12]:'>='('==>'(X12,X10),'==>'(X12,X11))),inference(shift_quantors,[status(thm)],[33])).
% fof(35, plain,![X13]:![X14]:(~('>='(X13,X14))|![X15]:'>='('==>'(X15,X13),'==>'(X15,X14))),inference(variable_rename,[status(thm)],[34])).
% fof(36, plain,![X13]:![X14]:![X15]:(~('>='(X13,X14))|'>='('==>'(X15,X13),'==>'(X15,X14))),inference(shift_quantors,[status(thm)],[35])).
% cnf(37,plain,('>='('==>'(X1,X2),'==>'(X1,X3))|~'>='(X2,X3)),inference(split_conjunct,[status(thm)],[36])).
% fof(38, plain,![X13]:![X14]:((~('>='(X13,X14))|~('>='(X14,X13)))|X13=X14),inference(fof_nnf,[status(thm)],[7])).
% fof(39, plain,![X15]:![X16]:((~('>='(X15,X16))|~('>='(X16,X15)))|X15=X16),inference(variable_rename,[status(thm)],[38])).
% cnf(40,plain,(X1=X2|~'>='(X2,X1)|~'>='(X1,X2)),inference(split_conjunct,[status(thm)],[39])).
% fof(41, plain,![X15]:![X16]:![X17]:(~('>='(X15,X16))|'>='('+'(X15,X17),'+'(X16,X17))),inference(fof_nnf,[status(thm)],[8])).
% fof(42, plain,![X15]:![X16]:(~('>='(X15,X16))|![X17]:'>='('+'(X15,X17),'+'(X16,X17))),inference(shift_quantors,[status(thm)],[41])).
% fof(43, plain,![X18]:![X19]:(~('>='(X18,X19))|![X20]:'>='('+'(X18,X20),'+'(X19,X20))),inference(variable_rename,[status(thm)],[42])).
% fof(44, plain,![X18]:![X19]:![X20]:(~('>='(X18,X19))|'>='('+'(X18,X20),'+'(X19,X20))),inference(shift_quantors,[status(thm)],[43])).
% cnf(45,plain,('>='('+'(X1,X2),'+'(X3,X2))|~'>='(X1,X3)),inference(split_conjunct,[status(thm)],[44])).
% fof(46, plain,![X2]:'+'(X2,'0')=X2,inference(variable_rename,[status(thm)],[9])).
% cnf(47,plain,('+'(X1,'0')=X1),inference(split_conjunct,[status(thm)],[46])).
% fof(48, plain,![X2]:'+'(X2,'1')='1',inference(variable_rename,[status(thm)],[10])).
% cnf(49,plain,('+'(X1,'1')='1'),inference(split_conjunct,[status(thm)],[48])).
% fof(50, plain,![X2]:'>='(X2,X2),inference(variable_rename,[status(thm)],[11])).
% cnf(51,plain,('>='(X1,X1)),inference(split_conjunct,[status(thm)],[50])).
% fof(55, plain,![X2]:'>='(X2,'0'),inference(variable_rename,[status(thm)],[13])).
% cnf(56,plain,('>='(X1,'0')),inference(split_conjunct,[status(thm)],[55])).
% fof(57, negated_conjecture,?[X21]:?[X22]:~('+'(X21,'==>'(X21,X22))='+'(X22,'==>'(X22,X21))),inference(fof_nnf,[status(thm)],[15])).
% fof(58, negated_conjecture,?[X23]:?[X24]:~('+'(X23,'==>'(X23,X24))='+'(X24,'==>'(X24,X23))),inference(variable_rename,[status(thm)],[57])).
% fof(59, negated_conjecture,~('+'(esk1_0,'==>'(esk1_0,esk2_0))='+'(esk2_0,'==>'(esk2_0,esk1_0))),inference(skolemize,[status(esa)],[58])).
% cnf(60,negated_conjecture,('+'(esk1_0,'==>'(esk1_0,esk2_0))!='+'(esk2_0,'==>'(esk2_0,esk1_0))),inference(split_conjunct,[status(thm)],[59])).
% cnf(71,plain,('+'(X3,'+'(X1,X2))='+'(X1,'+'(X2,X3))),inference(spm,[status(thm)],[17,19,theory(equality)])).
% cnf(72,plain,('+'('1',X1)='1'),inference(spm,[status(thm)],[49,19,theory(equality)])).
% cnf(73,plain,('+'('0',X1)=X1),inference(spm,[status(thm)],[47,19,theory(equality)])).
% cnf(84,plain,('>='('+'(X1,X2),'+'('0',X2))),inference(spm,[status(thm)],[45,56,theory(equality)])).
% cnf(87,plain,('>='('==>'('0',X1),'==>'(X2,X1))),inference(spm,[status(thm)],[32,56,theory(equality)])).
% cnf(95,plain,('>='('0','==>'(X1,X2))|~'>='(X1,X2)),inference(spm,[status(thm)],[27,47,theory(equality)])).
% cnf(99,plain,('>='(X1,'==>'(X2,'+'(X2,X1)))),inference(spm,[status(thm)],[27,51,theory(equality)])).
% cnf(100,plain,('>='('+'('==>'(X1,X2),X3),X2)|~'>='(X3,'==>'('==>'(X2,X1),X1))),inference(spm,[status(thm)],[26,21,theory(equality)])).
% cnf(102,plain,('>='('+'(X1,'==>'(X1,X2)),X2)),inference(spm,[status(thm)],[26,51,theory(equality)])).
% cnf(199,plain,('>='('+'(X1,X2),X2)),inference(rw,[status(thm)],[84,73,theory(equality)])).
% cnf(203,plain,('>='('0','==>'('+'(X1,X2),X2))),inference(spm,[status(thm)],[95,199,theory(equality)])).
% cnf(208,plain,('>='(X1,'==>'(X2,X1))),inference(spm,[status(thm)],[27,199,theory(equality)])).
% cnf(210,plain,('>='('1',X1)),inference(spm,[status(thm)],[199,72,theory(equality)])).
% cnf(228,plain,('>='('+'(X1,'==>'('0',X2)),X2)),inference(spm,[status(thm)],[26,87,theory(equality)])).
% cnf(249,plain,(X1='1'|~'>='(X1,'1')),inference(spm,[status(thm)],[40,210,theory(equality)])).
% cnf(251,plain,('>='('0','==>'('1',X1))),inference(spm,[status(thm)],[95,210,theory(equality)])).
% cnf(255,plain,('>='('==>'(X1,'1'),'==>'(X1,X2))),inference(spm,[status(thm)],[37,210,theory(equality)])).
% cnf(265,plain,('==>'('1',X1)='0'|~'>='('==>'('1',X1),'0')),inference(spm,[status(thm)],[40,251,theory(equality)])).
% cnf(276,plain,('==>'('1',X1)='0'|$false),inference(rw,[status(thm)],[265,56,theory(equality)])).
% cnf(277,plain,('==>'('1',X1)='0'),inference(cn,[status(thm)],[276,theory(equality)])).
% cnf(432,plain,('>='('0','==>'(X1,'==>'(X2,X1)))),inference(spm,[status(thm)],[95,208,theory(equality)])).
% cnf(434,plain,('>='('+'(X1,X2),'+'('==>'(X3,X1),X2))),inference(spm,[status(thm)],[45,208,theory(equality)])).
% cnf(616,plain,('>='(X1,'==>'(X2,'==>'(X3,'+'(X3,'+'(X2,X1)))))),inference(spm,[status(thm)],[27,99,theory(equality)])).
% cnf(618,plain,('==>'(X1,'+'(X1,X2))=X2|~'>='('==>'(X1,'+'(X1,X2)),X2)),inference(spm,[status(thm)],[40,99,theory(equality)])).
% cnf(628,plain,('>='(X1,'==>'('+'(X2,X3),'+'(X2,'+'(X3,X1))))),inference(spm,[status(thm)],[99,17,theory(equality)])).
% cnf(642,plain,('==>'('+'(X1,X2),X2)='0'|~'>='('==>'('+'(X1,X2),X2),'0')),inference(spm,[status(thm)],[40,203,theory(equality)])).
% cnf(659,plain,('==>'('+'(X1,X2),X2)='0'|$false),inference(rw,[status(thm)],[642,56,theory(equality)])).
% cnf(660,plain,('==>'('+'(X1,X2),X2)='0'),inference(cn,[status(thm)],[659,theory(equality)])).
% cnf(681,plain,('==>'('+'(X2,X1),X2)='0'),inference(spm,[status(thm)],[660,19,theory(equality)])).
% cnf(739,plain,('>='('==>'('0',X1),X1)),inference(spm,[status(thm)],[228,73,theory(equality)])).
% cnf(782,plain,(X1='==>'('0',X1)|~'>='(X1,'==>'('0',X1))),inference(spm,[status(thm)],[40,739,theory(equality)])).
% cnf(795,plain,(X1='==>'('0',X1)|$false),inference(rw,[status(thm)],[782,208,theory(equality)])).
% cnf(796,plain,(X1='==>'('0',X1)),inference(cn,[status(thm)],[795,theory(equality)])).
% cnf(846,plain,('+'(X1,'==>'(X1,'1'))='1'),inference(spm,[status(thm)],[249,102,theory(equality)])).
% cnf(848,plain,('>='('+'(X1,'+'(X2,'==>'(X2,'==>'(X1,X3)))),X3)),inference(spm,[status(thm)],[26,102,theory(equality)])).
% cnf(853,plain,('>='('0','==>'('+'(X1,'==>'(X1,X2)),X2))),inference(spm,[status(thm)],[95,102,theory(equality)])).
% cnf(858,plain,('>='('==>'(X1,'+'(X2,'==>'(X2,X3))),'==>'(X1,X3))),inference(spm,[status(thm)],[37,102,theory(equality)])).
% cnf(894,plain,('==>'('+'(X3,'+'(X1,X2)),X1)='0'),inference(spm,[status(thm)],[681,71,theory(equality)])).
% cnf(972,plain,('1'='+'(X1,'+'(X2,'==>'('+'(X1,X2),'1')))),inference(spm,[status(thm)],[17,846,theory(equality)])).
% cnf(1025,plain,('>='('0','==>'('==>'(X1,'1'),'==>'(X1,X2)))),inference(spm,[status(thm)],[95,255,theory(equality)])).
% cnf(1064,plain,('==>'(X1,'==>'(X2,X1))='0'|~'>='('==>'(X1,'==>'(X2,X1)),'0')),inference(spm,[status(thm)],[40,432,theory(equality)])).
% cnf(1084,plain,('==>'(X1,'==>'(X2,X1))='0'|$false),inference(rw,[status(thm)],[1064,56,theory(equality)])).
% cnf(1085,plain,('==>'(X1,'==>'(X2,X1))='0'),inference(cn,[status(thm)],[1084,theory(equality)])).
% cnf(1146,plain,('==>'('0','==>'(X2,X1))='==>'('==>'('==>'(X2,X1),X1),X1)),inference(spm,[status(thm)],[21,1085,theory(equality)])).
% cnf(1165,plain,('==>'(X2,X1)='==>'('==>'('==>'(X2,X1),X1),X1)),inference(rw,[status(thm)],[1146,796,theory(equality)])).
% cnf(2742,plain,('==>'('==>'(X1,'1'),'==>'(X1,X2))='0'|~'>='('==>'('==>'(X1,'1'),'==>'(X1,X2)),'0')),inference(spm,[status(thm)],[40,1025,theory(equality)])).
% cnf(2779,plain,('==>'('==>'(X1,'1'),'==>'(X1,X2))='0'|$false),inference(rw,[status(thm)],[2742,56,theory(equality)])).
% cnf(2780,plain,('==>'('==>'(X1,'1'),'==>'(X1,X2))='0'),inference(cn,[status(thm)],[2779,theory(equality)])).
% cnf(2844,plain,('==>'('==>'('==>'('1',X1),X1),'==>'('==>'(X1,'1'),X2))='0'),inference(spm,[status(thm)],[2780,21,theory(equality)])).
% cnf(2885,plain,('==>'(X1,'==>'('==>'(X1,'1'),X2))='0'),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2844,277,theory(equality)]),796,theory(equality)])).
% cnf(2990,plain,('==>'('0','==>'('==>'(X1,'1'),X2))='==>'('==>'('==>'('==>'(X1,'1'),X2),X1),X1)),inference(spm,[status(thm)],[21,2885,theory(equality)])).
% cnf(3031,plain,('==>'('==>'(X1,'1'),X2)='==>'('==>'('==>'('==>'(X1,'1'),X2),X1),X1)),inference(rw,[status(thm)],[2990,796,theory(equality)])).
% cnf(3175,plain,('>='('+'(X1,'==>'('==>'(X2,X1),'1')),'1')),inference(spm,[status(thm)],[434,846,theory(equality)])).
% cnf(3554,plain,('==>'('==>'('==>'(X2,X1),X1),X2)='==>'(X1,X2)),inference(spm,[status(thm)],[1165,21,theory(equality)])).
% cnf(3787,plain,('1'='+'(X1,'==>'('==>'(X2,X1),'1'))|~'>='('1','+'(X1,'==>'('==>'(X2,X1),'1')))),inference(spm,[status(thm)],[40,3175,theory(equality)])).
% cnf(3827,plain,('1'='+'(X1,'==>'('==>'(X2,X1),'1'))|$false),inference(rw,[status(thm)],[3787,210,theory(equality)])).
% cnf(3828,plain,('1'='+'(X1,'==>'('==>'(X2,X1),'1'))),inference(cn,[status(thm)],[3827,theory(equality)])).
% cnf(3908,plain,('+'(X1,'==>'('==>'('==>'(X1,X2),X2),'1'))='1'),inference(spm,[status(thm)],[3828,21,theory(equality)])).
% cnf(5114,plain,('==>'('+'(X1,'==>'(X1,X2)),X2)='0'|~'>='('==>'('+'(X1,'==>'(X1,X2)),X2),'0')),inference(spm,[status(thm)],[40,853,theory(equality)])).
% cnf(5156,plain,('==>'('+'(X1,'==>'(X1,X2)),X2)='0'|$false),inference(rw,[status(thm)],[5114,56,theory(equality)])).
% cnf(5157,plain,('==>'('+'(X1,'==>'(X1,X2)),X2)='0'),inference(cn,[status(thm)],[5156,theory(equality)])).
% cnf(10504,plain,('>='('==>'('+'(X1,X2),'1'),'==>'(X2,'==>'(X1,'1')))),inference(spm,[status(thm)],[616,972,theory(equality)])).
% cnf(12751,plain,('+'(X1,'+'(X2,'==>'(X2,'==>'(X1,'1'))))='1'),inference(spm,[status(thm)],[249,848,theory(equality)])).
% cnf(13763,plain,('==>'(X1,'+'(X1,'==>'(X1,X2)))='==>'(X1,X2)),inference(spm,[status(thm)],[618,858,theory(equality)])).
% cnf(15115,plain,('==>'('==>'(X1,X2),'+'(X1,'==>'(X1,X2)))='==>'('==>'('+'(X1,'==>'(X1,X2)),X1),X1)),inference(spm,[status(thm)],[21,13763,theory(equality)])).
% cnf(15248,plain,('==>'('==>'(X1,X2),'+'(X1,'==>'(X1,X2)))=X1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[15115,681,theory(equality)]),796,theory(equality)])).
% cnf(21352,plain,('+'('+'(X1,'==>'(X1,X2)),'==>'('==>'('0',X2),'1'))='1'),inference(spm,[status(thm)],[3908,5157,theory(equality)])).
% cnf(21507,plain,('+'(X1,'+'('==>'(X1,X2),'==>'(X2,'1')))='1'),inference(rw,[status(thm)],[inference(rw,[status(thm)],[21352,796,theory(equality)]),17,theory(equality)])).
% cnf(26575,plain,('>='('==>'(X1,'==>'(X2,'1')),'==>'('+'(X2,X1),'1'))),inference(spm,[status(thm)],[628,12751,theory(equality)])).
% cnf(26599,plain,('+'('==>'('==>'('==>'('1','1'),X1),'1'),'+'(X2,'==>'(X2,'==>'('==>'('1','1'),X1))))='1'),inference(spm,[status(thm)],[12751,3031,theory(equality)])).
% cnf(26814,plain,('+'('==>'(X1,'1'),'+'(X2,'==>'(X2,X1)))='1'),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[26599,277,theory(equality)]),796,theory(equality)]),277,theory(equality)]),796,theory(equality)])).
% cnf(34389,plain,('>='('+'('==>'(X1,X2),'==>'(X2,'1')),'==>'(X1,'1'))),inference(spm,[status(thm)],[99,21507,theory(equality)])).
% cnf(152115,plain,('==>'('+'(X1,X2),'1')='==>'(X2,'==>'(X1,'1'))|~'>='('==>'('+'(X1,X2),'1'),'==>'(X2,'==>'(X1,'1')))),inference(spm,[status(thm)],[40,26575,theory(equality)])).
% cnf(152293,plain,('==>'('+'(X1,X2),'1')='==>'(X2,'==>'(X1,'1'))|$false),inference(rw,[status(thm)],[152115,10504,theory(equality)])).
% cnf(152294,plain,('==>'('+'(X1,X2),'1')='==>'(X2,'==>'(X1,'1'))),inference(cn,[status(thm)],[152293,theory(equality)])).
% cnf(154274,plain,('==>'(X1,'==>'('==>'('1','1'),X2))='==>'('+'('==>'('==>'('==>'('1','1'),X2),'1'),X1),'1')),inference(spm,[status(thm)],[152294,3031,theory(equality)])).
% cnf(154750,plain,('==>'(X1,X2)='==>'('+'('==>'('==>'('==>'('1','1'),X2),'1'),X1),'1')),inference(rw,[status(thm)],[inference(rw,[status(thm)],[154274,277,theory(equality)]),796,theory(equality)])).
% cnf(154751,plain,('==>'(X1,X2)='==>'('+'('==>'(X2,'1'),X1),'1')),inference(rw,[status(thm)],[inference(rw,[status(thm)],[154750,277,theory(equality)]),796,theory(equality)])).
% cnf(154848,plain,('==>'('==>'(X2,X1),'+'('+'('==>'(X1,'1'),X2),'==>'(X2,X1)))='+'('==>'(X1,'1'),X2)),inference(spm,[status(thm)],[15248,154751,theory(equality)])).
% cnf(155121,plain,('==>'(X1,'==>'(X3,X2))='==>'('+'('+'('==>'(X2,'1'),X3),X1),'1')),inference(spm,[status(thm)],[152294,154751,theory(equality)])).
% cnf(155264,plain,('==>'('+'(X2,'==>'(X1,'1')),'1')='==>'(X2,X1)),inference(spm,[status(thm)],[154751,19,theory(equality)])).
% cnf(155325,plain,('==>'('==>'(X2,X1),'1')='+'('==>'(X1,'1'),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[154848,17,theory(equality)]),26814,theory(equality)])).
% cnf(155508,plain,('==>'(X1,'==>'(X3,X2))='==>'('+'(X3,X1),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[155121,17,theory(equality)]),154751,theory(equality)])).
% cnf(156087,plain,('==>'('==>'(X2,X1),'1')='+'('==>'(X1,'1'),'==>'('==>'(X1,X2),X2))),inference(spm,[status(thm)],[155325,3554,theory(equality)])).
% cnf(156562,plain,('+'('==>'(X1,'1'),X2)='+'('==>'(X1,'1'),'==>'('==>'(X1,X2),X2))),inference(rw,[status(thm)],[156087,155325,theory(equality)])).
% cnf(158250,plain,('==>'('+'(X1,'==>'(X2,X3)),'1')='==>'(X1,'+'(X2,'==>'(X3,'1')))),inference(spm,[status(thm)],[155264,155264,theory(equality)])).
% cnf(170527,plain,('>='('+'('==>'('1',X1),'+'('==>'('==>'(X1,'1'),X2),'==>'(X2,'1'))),X1)),inference(spm,[status(thm)],[100,34389,theory(equality)])).
% cnf(170643,plain,('>='('+'('==>'('==>'(X1,'1'),X2),'==>'(X2,'1')),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[170527,277,theory(equality)]),73,theory(equality)])).
% cnf(180528,plain,('>='('+'('==>'(X2,'1'),'==>'('==>'(X1,'1'),X2)),X1)),inference(rw,[status(thm)],[170643,19,theory(equality)])).
% cnf(180624,plain,('>='('==>'('==>'(X1,'1'),X2),'==>'('==>'(X2,'1'),X1))),inference(spm,[status(thm)],[27,180528,theory(equality)])).
% cnf(188556,plain,('==>'('==>'(X1,'1'),X2)='==>'('==>'(X2,'1'),X1)|~'>='('==>'('==>'(X1,'1'),X2),'==>'('==>'(X2,'1'),X1))),inference(spm,[status(thm)],[40,180624,theory(equality)])).
% cnf(188688,plain,('==>'('==>'(X1,'1'),X2)='==>'('==>'(X2,'1'),X1)|$false),inference(rw,[status(thm)],[188556,180624,theory(equality)])).
% cnf(188689,plain,('==>'('==>'(X1,'1'),X2)='==>'('==>'(X2,'1'),X1)),inference(cn,[status(thm)],[188688,theory(equality)])).
% cnf(188961,plain,('+'('==>'('==>'(X1,'1'),'1'),'==>'('==>'('==>'(X2,'1'),X1),X2))='+'('==>'('==>'(X1,'1'),'1'),X2)),inference(spm,[status(thm)],[156562,188689,theory(equality)])).
% cnf(189762,plain,('+'(X1,'==>'('==>'('==>'(X2,'1'),X1),X2))='+'('==>'('==>'(X1,'1'),'1'),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[188961,155325,theory(equality)]),277,theory(equality)]),73,theory(equality)])).
% cnf(189763,plain,('+'(X1,'==>'('==>'('==>'(X2,'1'),X1),X2))='+'(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[189762,155325,theory(equality)]),277,theory(equality)]),73,theory(equality)])).
% cnf(190747,plain,('+'(X1,'==>'('==>'('==>'('==>'('1','1'),X2),X1),'==>'('==>'('==>'('1','1'),X2),'1')))='+'(X1,'==>'('==>'('==>'('1','1'),X2),'1'))),inference(spm,[status(thm)],[189763,3031,theory(equality)])).
% cnf(191037,plain,('+'(X1,'==>'(X2,'+'(X2,'==>'(X1,'1'))))='+'(X1,'==>'('==>'('==>'('1','1'),X2),'1'))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[190747,277,theory(equality)]),796,theory(equality)]),277,theory(equality)]),796,theory(equality)]),155508,theory(equality)]),158250,theory(equality)])).
% cnf(191038,plain,('+'(X1,'==>'(X2,'+'(X2,'==>'(X1,'1'))))='+'(X1,'==>'(X2,'1'))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[191037,277,theory(equality)]),796,theory(equality)])).
% cnf(192608,plain,('==>'('+'(X1,'==>'(X2,'1')),'1')='==>'(X1,'+'(X2,'==>'('+'(X2,'==>'(X1,'1')),'1')))),inference(spm,[status(thm)],[158250,191038,theory(equality)])).
% cnf(192916,plain,('==>'(X1,X2)='==>'(X1,'+'(X2,'==>'('+'(X2,'==>'(X1,'1')),'1')))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[192608,158250,theory(equality)]),277,theory(equality)]),47,theory(equality)])).
% cnf(192917,plain,('==>'(X1,X2)='==>'(X1,'+'(X2,'==>'(X2,X1)))),inference(rw,[status(thm)],[192916,155264,theory(equality)])).
% cnf(193455,plain,('==>'('==>'(X1,X2),'+'(X2,'==>'(X2,X1)))='==>'('==>'('+'(X2,'==>'(X2,X1)),X1),X1)),inference(spm,[status(thm)],[21,192917,theory(equality)])).
% cnf(193846,plain,('==>'('==>'(X1,X2),'+'(X2,'==>'(X2,X1)))=X1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[193455,5157,theory(equality)]),796,theory(equality)])).
% cnf(194997,plain,('==>'('==>'('+'(X1,'==>'(X1,X2)),'==>'(X2,X1)),'+'('==>'(X2,X1),X2))='+'(X1,'==>'(X1,X2))),inference(spm,[status(thm)],[193846,193846,theory(equality)])).
% cnf(195425,plain,('+'(X2,'==>'(X2,X1))='+'(X1,'==>'(X1,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[194997,155508,theory(equality)]),894,theory(equality)]),19,theory(equality)]),796,theory(equality)])).
% cnf(952532,negated_conjecture,($false),inference(rw,[status(thm)],[60,195425,theory(equality)])).
% cnf(952533,negated_conjecture,($false),inference(cn,[status(thm)],[952532,theory(equality)])).
% cnf(952534,negated_conjecture,($false),952533,['proof']).
% # SZS output end CNFRefutation
% PrfWatch: 29.01 CPU 29.72 WC
% FINAL PrfWatch: 29.01 CPU 29.72 WC
% SZS output end Solution for /tmp/SystemOnTPTP1805/LCL900+1.tptp
%
%------------------------------------------------------------------------------