TSTP Solution File: LCL888+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : LCL888+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 : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2800MHz
% Memory : 2005MB
% OS : Linux 2.6.32.26-175.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Mon Oct 22 19:02:49 EDT 2012
% Result : Theorem 108.36s
% Output : Solution 141.82s
% 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/SystemOnTPTP21196/LCL888+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~goals_13:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT ... WARNING: TreeLimitedRun lost 60.33s, total lost is 60.33s
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... sos_12:
% CSA axiom sos_12 found
% Looking for CSA axiom ... sos_10:
% CSA axiom sos_10 found
% Looking for CSA axiom ... sos_11:
% CSA axiom sos_11 found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... sos_06:
% CSA axiom sos_06 found
% Looking for CSA axiom ... sos_01:
% CSA axiom sos_01 found
% Looking for CSA axiom ... sos_02:
% CSA axiom sos_02 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... sos_04:
% CSA axiom sos_04 found
% Looking for CSA axiom ... sos_05:
% CSA axiom sos_05 found
% Looking for CSA axiom ... sos_07:
% CSA axiom sos_07 found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :sos_07:sos_05:sos_04:sos_02:sos_01:sos_06:sos_11:sos_10:sos_12 (9)
% Unselected axioms are ... :sos_09:sos_03:sos_08 (3)
% SZS status THM for /tmp/SystemOnTPTP21196/LCL888+1.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP21196/LCL888+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.6/eproof_ram --print-statistics --auto --cpu-limit=600 --memory-limit=1024 --tstp-format /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 600s
% TreeLimitedRun: WC time limit is 1200s
% TreeLimitedRun: PID is 23205
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.03 WC
% PrfWatch: 1.71 CPU 2.04 WC
% PrfWatch: 3.69 CPU 4.06 WC
% PrfWatch: 5.70 CPU 6.08 WC
% PrfWatch: 7.69 CPU 8.10 WC
% PrfWatch: 9.70 CPU 10.12 WC
% PrfWatch: 11.70 CPU 12.13 WC
% PrfWatch: 13.70 CPU 14.15 WC
% PrfWatch: 15.70 CPU 16.17 WC
% PrfWatch: 17.70 CPU 18.19 WC
% PrfWatch: 19.70 CPU 20.21 WC
% PrfWatch: 21.72 CPU 22.24 WC
% PrfWatch: 23.72 CPU 24.26 WC
% PrfWatch: 25.72 CPU 26.28 WC
% PrfWatch: 27.71 CPU 28.30 WC
% PrfWatch: 29.72 CPU 30.32 WC
% PrfWatch: 31.73 CPU 32.34 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 : 10
% # Removed by relevancy pruning/SinE : 0
% # Initial clauses : 13
% # Removed in clause preprocessing : 0
% # Initial clauses in saturation : 13
% # Processed clauses : 15531
% # ...of these trivial : 5025
% # ...subsumed : 6863
% # ...remaining for further processing: 3642
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 46
% # Backward-rewritten : 1542
% # Generated clauses : 587382
% # ...of the previous two non-trivial : 455799
% # Contextual simplify-reflections : 0
% # Paramodulations : 587382
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 2041
% # Positive orientable unit clauses: 1511
% # Positive unorientable unit clauses: 20
% # Negative unit clauses : 3
% # Non-unit-clauses : 507
% # Current number of unprocessed clauses: 271544
% # ...number of literals in the above : 309558
% # Clause-clause subsumption calls (NU) : 65646
% # Rec. Clause-clause subsumption calls : 65618
% # Non-unit clause-clause subsumptions: 6138
% # Unit Clause-clause subsumption calls : 1088
% # Rewrite failures with RHS unbound : 24
% # BW rewrite match attempts : 45913
% # BW rewrite match successes : 1185
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:![X3]:('>='('+'(X1,X2),X3)<=>'>='(X2,'==>'(X1,X3))),file('/tmp/SRASS.s.p', sos_07)).
% fof(2, axiom,![X4]:![X5]:![X6]:(('>='(X4,X5)&'>='(X5,X6))=>'>='(X4,X6)),file('/tmp/SRASS.s.p', sos_05)).
% fof(3, axiom,![X7]:'>='(X7,X7),file('/tmp/SRASS.s.p', sos_04)).
% fof(4, axiom,![X7]:![X8]:'+'(X7,X8)='+'(X8,X7),file('/tmp/SRASS.s.p', sos_02)).
% fof(5, axiom,![X7]:![X8]:![X9]:'+'('+'(X7,X8),X9)='+'(X7,'+'(X8,X9)),file('/tmp/SRASS.s.p', sos_01)).
% fof(6, axiom,![X10]:![X11]:(('>='(X10,X11)&'>='(X11,X10))=>X10=X11),file('/tmp/SRASS.s.p', sos_06)).
% fof(7, axiom,![X12]:![X13]:![X14]:('>='(X12,X13)=>'>='('==>'(X14,X12),'==>'(X14,X13))),file('/tmp/SRASS.s.p', sos_11)).
% fof(9, axiom,![X7]:![X8]:'+'(X7,'==>'(X7,X8))='+'(X8,'==>'(X8,X7)),file('/tmp/SRASS.s.p', sos_12)).
% fof(10, conjecture,![X18]:![X19]:![X20]:((X18='==>'(X18,X19)&X20='==>'(X20,X19))=>X18=X20),file('/tmp/SRASS.s.p', goals_13)).
% fof(11, negated_conjecture,~(![X18]:![X19]:![X20]:((X18='==>'(X18,X19)&X20='==>'(X20,X19))=>X18=X20)),inference(assume_negation,[status(cth)],[10])).
% fof(12, plain,![X1]:![X2]:![X3]:((~('>='('+'(X1,X2),X3))|'>='(X2,'==>'(X1,X3)))&(~('>='(X2,'==>'(X1,X3)))|'>='('+'(X1,X2),X3))),inference(fof_nnf,[status(thm)],[1])).
% fof(13, plain,(![X1]:![X2]:![X3]:(~('>='('+'(X1,X2),X3))|'>='(X2,'==>'(X1,X3)))&![X1]:![X2]:![X3]:(~('>='(X2,'==>'(X1,X3)))|'>='('+'(X1,X2),X3))),inference(shift_quantors,[status(thm)],[12])).
% fof(14, plain,(![X4]:![X5]:![X6]:(~('>='('+'(X4,X5),X6))|'>='(X5,'==>'(X4,X6)))&![X7]:![X8]:![X9]:(~('>='(X8,'==>'(X7,X9)))|'>='('+'(X7,X8),X9))),inference(variable_rename,[status(thm)],[13])).
% fof(15, plain,![X4]:![X5]:![X6]:![X7]:![X8]:![X9]:((~('>='('+'(X4,X5),X6))|'>='(X5,'==>'(X4,X6)))&(~('>='(X8,'==>'(X7,X9)))|'>='('+'(X7,X8),X9))),inference(shift_quantors,[status(thm)],[14])).
% cnf(16,plain,('>='('+'(X1,X2),X3)|~'>='(X2,'==>'(X1,X3))),inference(split_conjunct,[status(thm)],[15])).
% cnf(17,plain,('>='(X1,'==>'(X2,X3))|~'>='('+'(X2,X1),X3)),inference(split_conjunct,[status(thm)],[15])).
% fof(18, plain,![X4]:![X5]:![X6]:((~('>='(X4,X5))|~('>='(X5,X6)))|'>='(X4,X6)),inference(fof_nnf,[status(thm)],[2])).
% fof(19, plain,![X7]:![X8]:![X9]:((~('>='(X7,X8))|~('>='(X8,X9)))|'>='(X7,X9)),inference(variable_rename,[status(thm)],[18])).
% cnf(20,plain,('>='(X1,X2)|~'>='(X3,X2)|~'>='(X1,X3)),inference(split_conjunct,[status(thm)],[19])).
% fof(21, plain,![X8]:'>='(X8,X8),inference(variable_rename,[status(thm)],[3])).
% cnf(22,plain,('>='(X1,X1)),inference(split_conjunct,[status(thm)],[21])).
% fof(23, plain,![X9]:![X10]:'+'(X9,X10)='+'(X10,X9),inference(variable_rename,[status(thm)],[4])).
% cnf(24,plain,('+'(X1,X2)='+'(X2,X1)),inference(split_conjunct,[status(thm)],[23])).
% fof(25, plain,![X10]:![X11]:![X12]:'+'('+'(X10,X11),X12)='+'(X10,'+'(X11,X12)),inference(variable_rename,[status(thm)],[5])).
% cnf(26,plain,('+'('+'(X1,X2),X3)='+'(X1,'+'(X2,X3))),inference(split_conjunct,[status(thm)],[25])).
% fof(27, plain,![X10]:![X11]:((~('>='(X10,X11))|~('>='(X11,X10)))|X10=X11),inference(fof_nnf,[status(thm)],[6])).
% fof(28, plain,![X12]:![X13]:((~('>='(X12,X13))|~('>='(X13,X12)))|X12=X13),inference(variable_rename,[status(thm)],[27])).
% cnf(29,plain,(X1=X2|~'>='(X2,X1)|~'>='(X1,X2)),inference(split_conjunct,[status(thm)],[28])).
% fof(30, plain,![X12]:![X13]:![X14]:(~('>='(X12,X13))|'>='('==>'(X14,X12),'==>'(X14,X13))),inference(fof_nnf,[status(thm)],[7])).
% fof(31, plain,![X12]:![X13]:(~('>='(X12,X13))|![X14]:'>='('==>'(X14,X12),'==>'(X14,X13))),inference(shift_quantors,[status(thm)],[30])).
% fof(32, plain,![X15]:![X16]:(~('>='(X15,X16))|![X17]:'>='('==>'(X17,X15),'==>'(X17,X16))),inference(variable_rename,[status(thm)],[31])).
% fof(33, plain,![X15]:![X16]:![X17]:(~('>='(X15,X16))|'>='('==>'(X17,X15),'==>'(X17,X16))),inference(shift_quantors,[status(thm)],[32])).
% cnf(34,plain,('>='('==>'(X1,X2),'==>'(X1,X3))|~'>='(X2,X3)),inference(split_conjunct,[status(thm)],[33])).
% fof(40, plain,![X9]:![X10]:'+'(X9,'==>'(X9,X10))='+'(X10,'==>'(X10,X9)),inference(variable_rename,[status(thm)],[9])).
% cnf(41,plain,('+'(X1,'==>'(X1,X2))='+'(X2,'==>'(X2,X1))),inference(split_conjunct,[status(thm)],[40])).
% fof(42, negated_conjecture,?[X18]:?[X19]:?[X20]:((X18='==>'(X18,X19)&X20='==>'(X20,X19))&~(X18=X20)),inference(fof_nnf,[status(thm)],[11])).
% fof(43, negated_conjecture,?[X21]:?[X22]:?[X23]:((X21='==>'(X21,X22)&X23='==>'(X23,X22))&~(X21=X23)),inference(variable_rename,[status(thm)],[42])).
% fof(44, negated_conjecture,((esk1_0='==>'(esk1_0,esk2_0)&esk3_0='==>'(esk3_0,esk2_0))&~(esk1_0=esk3_0)),inference(skolemize,[status(esa)],[43])).
% cnf(45,negated_conjecture,(esk1_0!=esk3_0),inference(split_conjunct,[status(thm)],[44])).
% cnf(46,negated_conjecture,(esk3_0='==>'(esk3_0,esk2_0)),inference(split_conjunct,[status(thm)],[44])).
% cnf(47,negated_conjecture,(esk1_0='==>'(esk1_0,esk2_0)),inference(split_conjunct,[status(thm)],[44])).
% cnf(48,plain,('>='(X1,'==>'(X2,'+'(X2,X1)))),inference(spm,[status(thm)],[17,22,theory(equality)])).
% cnf(50,negated_conjecture,('>='('+'(esk3_0,X1),esk2_0)|~'>='(X1,esk3_0)),inference(spm,[status(thm)],[16,46,theory(equality)])).
% cnf(51,negated_conjecture,('>='('+'(esk1_0,X1),esk2_0)|~'>='(X1,esk1_0)),inference(spm,[status(thm)],[16,47,theory(equality)])).
% cnf(52,plain,('>='('+'(X1,'==>'(X1,X2)),X2)),inference(spm,[status(thm)],[16,22,theory(equality)])).
% cnf(54,plain,('>='(X1,'==>'('+'(X2,X3),X4))|~'>='('+'(X2,'+'(X3,X1)),X4)),inference(spm,[status(thm)],[17,26,theory(equality)])).
% cnf(57,plain,('+'(X3,'+'(X1,X2))='+'(X1,'+'(X2,X3))),inference(spm,[status(thm)],[26,24,theory(equality)])).
% cnf(58,plain,('+'('+'(X2,X1),X3)='+'(X1,'+'(X2,X3))),inference(spm,[status(thm)],[26,24,theory(equality)])).
% cnf(59,plain,('>='(X1,'==>'(X2,X3))|~'>='('+'(X1,X2),X3)),inference(spm,[status(thm)],[17,24,theory(equality)])).
% cnf(63,plain,('+'(X2,'+'(X1,X3))='+'(X1,'+'(X2,X3))),inference(rw,[status(thm)],[58,26,theory(equality)])).
% cnf(70,plain,('+'('+'(X2,'==>'(X2,X1)),X3)='+'(X1,'+'('==>'(X1,X2),X3))),inference(spm,[status(thm)],[26,41,theory(equality)])).
% cnf(71,plain,('>='('==>'(X1,X2),'==>'(X1,X3))|~'>='('+'(X2,'==>'(X2,X1)),X3)),inference(spm,[status(thm)],[17,41,theory(equality)])).
% cnf(75,plain,('+'(X2,'+'('==>'(X2,X1),X3))='+'(X1,'+'('==>'(X1,X2),X3))),inference(rw,[status(thm)],[70,26,theory(equality)])).
% cnf(77,plain,('>='(X1,'==>'(X2,'==>'(X3,'+'(X3,'+'(X2,X1)))))),inference(spm,[status(thm)],[17,48,theory(equality)])).
% cnf(78,plain,('==>'(X1,'+'(X1,X2))=X2|~'>='('==>'(X1,'+'(X1,X2)),X2)),inference(spm,[status(thm)],[29,48,theory(equality)])).
% cnf(79,plain,('>='(X1,'==>'(X2,'+'(X2,X3)))|~'>='(X1,X3)),inference(spm,[status(thm)],[20,48,theory(equality)])).
% cnf(84,plain,('>='('==>'(X1,X2),'==>'(X1,'+'(X2,'==>'(X2,X1))))),inference(spm,[status(thm)],[48,41,theory(equality)])).
% cnf(86,plain,('>='(X1,'==>'(X2,'+'(X1,X2)))),inference(spm,[status(thm)],[48,24,theory(equality)])).
% cnf(89,negated_conjecture,('>='('+'(esk3_0,esk3_0),esk2_0)),inference(spm,[status(thm)],[50,22,theory(equality)])).
% cnf(93,negated_conjecture,('>='('==>'(X1,'+'(esk3_0,esk3_0)),'==>'(X1,esk2_0))),inference(spm,[status(thm)],[34,89,theory(equality)])).
% cnf(100,negated_conjecture,('>='('+'(esk1_0,esk1_0),esk2_0)),inference(spm,[status(thm)],[51,22,theory(equality)])).
% cnf(104,negated_conjecture,('>='('==>'(X1,'+'(esk1_0,esk1_0)),'==>'(X1,esk2_0))),inference(spm,[status(thm)],[34,100,theory(equality)])).
% cnf(111,negated_conjecture,('>='('+'(esk3_0,'+'(X1,'==>'(X1,esk3_0))),esk2_0)),inference(spm,[status(thm)],[50,52,theory(equality)])).
% cnf(112,negated_conjecture,('>='('+'(esk1_0,'+'(X1,'==>'(X1,esk1_0))),esk2_0)),inference(spm,[status(thm)],[51,52,theory(equality)])).
% cnf(121,plain,('>='('+'(X1,'+'(X2,'==>'('+'(X1,X2),X3))),X3)),inference(spm,[status(thm)],[52,26,theory(equality)])).
% cnf(122,plain,('>='('+'(X2,'==>'(X2,X1)),X2)),inference(spm,[status(thm)],[52,41,theory(equality)])).
% cnf(129,plain,('>='(X1,'==>'(X2,'+'(X3,X2)))|~'>='(X1,X3)),inference(spm,[status(thm)],[20,86,theory(equality)])).
% cnf(153,plain,('>='(X1,'==>'('==>'(X1,X2),X3))|~'>='('+'(X2,'==>'(X2,X1)),X3)),inference(spm,[status(thm)],[59,41,theory(equality)])).
% cnf(157,plain,('>='(X1,'==>'(X2,'==>'(X3,'+'(X3,'+'(X1,X2)))))),inference(spm,[status(thm)],[59,48,theory(equality)])).
% cnf(162,plain,('>='(X1,'==>'('==>'(X1,X2),X2))),inference(spm,[status(thm)],[59,52,theory(equality)])).
% cnf(171,plain,('>='(X1,'==>'(X2,'+'(X2,'==>'(X3,'+'(X3,X1)))))),inference(spm,[status(thm)],[79,48,theory(equality)])).
% cnf(195,negated_conjecture,('>='('+'(esk1_0,esk1_0),'==>'(X1,'+'(esk2_0,X1)))),inference(spm,[status(thm)],[129,100,theory(equality)])).
% cnf(217,plain,('>='('==>'(X1,X2),'==>'(X1,X1))),inference(spm,[status(thm)],[17,122,theory(equality)])).
% cnf(219,negated_conjecture,('>='('+'(esk3_0,esk3_0),esk3_0)),inference(spm,[status(thm)],[122,46,theory(equality)])).
% cnf(237,negated_conjecture,('>='(esk3_0,'==>'(esk3_0,esk3_0))),inference(spm,[status(thm)],[17,219,theory(equality)])).
% cnf(257,negated_conjecture,('>='(X1,'==>'(esk3_0,esk3_0))|~'>='(X1,esk3_0)),inference(spm,[status(thm)],[20,237,theory(equality)])).
% cnf(390,plain,('>='(X1,'==>'('+'(X2,X3),X4))|~'>='('+'(X3,'+'(X1,X2)),X4)),inference(spm,[status(thm)],[59,57,theory(equality)])).
% cnf(394,plain,('>='('+'(X1,X2),'==>'(X3,X4))|~'>='('+'(X2,'+'(X3,X1)),X4)),inference(spm,[status(thm)],[17,57,theory(equality)])).
% cnf(416,plain,('+'('==>'(X1,X2),'+'(X3,X1))='+'(X3,'+'(X2,'==>'(X2,X1)))),inference(spm,[status(thm)],[57,41,theory(equality)])).
% cnf(423,plain,('+'(X1,'+'(X3,X2))='+'(X2,'+'(X3,X1))),inference(spm,[status(thm)],[57,24,theory(equality)])).
% cnf(506,negated_conjecture,('>='('==>'(esk3_0,'+'(esk3_0,esk3_0)),esk3_0)),inference(spm,[status(thm)],[93,46,theory(equality)])).
% cnf(512,negated_conjecture,(esk3_0='==>'(esk3_0,'+'(esk3_0,esk3_0))|~'>='(esk3_0,'==>'(esk3_0,'+'(esk3_0,esk3_0)))),inference(spm,[status(thm)],[29,506,theory(equality)])).
% cnf(521,negated_conjecture,(esk3_0='==>'(esk3_0,'+'(esk3_0,esk3_0))|$false),inference(rw,[status(thm)],[512,86,theory(equality)])).
% cnf(522,negated_conjecture,(esk3_0='==>'(esk3_0,'+'(esk3_0,esk3_0))),inference(cn,[status(thm)],[521,theory(equality)])).
% cnf(548,negated_conjecture,('>='('+'(esk3_0,'==>'(esk3_0,X1)),'==>'(esk3_0,esk3_0))),inference(spm,[status(thm)],[257,122,theory(equality)])).
% cnf(853,plain,('>='(X1,'==>'(X2,'==>'('==>'('+'(X2,X1),X3),X3)))),inference(spm,[status(thm)],[17,162,theory(equality)])).
% cnf(1240,negated_conjecture,('==>'(X1,esk2_0)='==>'(X1,'+'(esk1_0,esk1_0))|~'>='('==>'(X1,esk2_0),'==>'(X1,'+'(esk1_0,esk1_0)))),inference(spm,[status(thm)],[29,104,theory(equality)])).
% cnf(1248,negated_conjecture,('>='('==>'(esk3_0,'+'(esk1_0,esk1_0)),esk3_0)),inference(spm,[status(thm)],[104,46,theory(equality)])).
% cnf(1249,negated_conjecture,('>='('==>'(esk1_0,'+'(esk1_0,esk1_0)),esk1_0)),inference(spm,[status(thm)],[104,47,theory(equality)])).
% cnf(1256,negated_conjecture,('>='(X1,esk3_0)|~'>='(X1,'==>'(esk3_0,'+'(esk1_0,esk1_0)))),inference(spm,[status(thm)],[20,1248,theory(equality)])).
% cnf(1271,negated_conjecture,(esk1_0='==>'(esk1_0,'+'(esk1_0,esk1_0))|~'>='(esk1_0,'==>'(esk1_0,'+'(esk1_0,esk1_0)))),inference(spm,[status(thm)],[29,1249,theory(equality)])).
% cnf(1284,negated_conjecture,(esk1_0='==>'(esk1_0,'+'(esk1_0,esk1_0))|$false),inference(rw,[status(thm)],[1271,86,theory(equality)])).
% cnf(1285,negated_conjecture,(esk1_0='==>'(esk1_0,'+'(esk1_0,esk1_0))),inference(cn,[status(thm)],[1284,theory(equality)])).
% cnf(1449,negated_conjecture,('>='('+'(X1,'+'('==>'(X1,esk3_0),esk3_0)),esk2_0)),inference(spm,[status(thm)],[111,57,theory(equality)])).
% cnf(1727,negated_conjecture,('>='('==>'(esk3_0,X1),'==>'(esk3_0,'==>'(esk3_0,esk3_0)))),inference(spm,[status(thm)],[17,548,theory(equality)])).
% cnf(2108,negated_conjecture,('>='('+'(X1,'+'(esk1_0,esk1_0)),'+'(esk2_0,X1))),inference(spm,[status(thm)],[16,195,theory(equality)])).
% cnf(2152,negated_conjecture,('==>'(esk3_0,'+'(esk3_0,'==>'(esk3_0,'==>'(esk3_0,esk3_0))))='==>'(esk3_0,'==>'(esk3_0,esk3_0))),inference(spm,[status(thm)],[78,1727,theory(equality)])).
% cnf(2335,plain,('>='(X1,'==>'(X2,X2))|~'>='(X1,'==>'(X2,X3))),inference(spm,[status(thm)],[20,217,theory(equality)])).
% cnf(2470,plain,('>='(X1,'==>'(X2,X2))),inference(spm,[status(thm)],[2335,77,theory(equality)])).
% cnf(2607,plain,('==>'(X1,X1)=X2|~'>='('==>'(X1,X1),X2)),inference(spm,[status(thm)],[29,2470,theory(equality)])).
% cnf(2615,plain,('>='('+'(X1,X2),X1)),inference(spm,[status(thm)],[16,2470,theory(equality)])).
% cnf(2640,negated_conjecture,('==>'(esk3_0,esk3_0)='==>'(esk3_0,'==>'(esk3_0,esk3_0))),inference(spm,[status(thm)],[2607,1727,theory(equality)])).
% cnf(2682,plain,('>='(X1,'==>'(X2,X1))),inference(spm,[status(thm)],[59,2615,theory(equality)])).
% cnf(2749,negated_conjecture,('==>'(esk3_0,'+'(esk3_0,'==>'(esk3_0,esk3_0)))='==>'(esk3_0,'==>'(esk3_0,esk3_0))),inference(rw,[status(thm)],[2152,2640,theory(equality)])).
% cnf(2750,negated_conjecture,('==>'(esk3_0,'+'(esk3_0,'==>'(esk3_0,esk3_0)))='==>'(esk3_0,esk3_0)),inference(rw,[status(thm)],[2749,2640,theory(equality)])).
% cnf(2855,plain,('>='(X1,'==>'('+'(X2,X3),X4))|~'>='('+'(X3,'+'(X2,X1)),X4)),inference(spm,[status(thm)],[54,63,theory(equality)])).
% cnf(2870,negated_conjecture,('>='('==>'(X1,esk1_0),'==>'('+'(esk1_0,X1),esk2_0))),inference(spm,[status(thm)],[54,112,theory(equality)])).
% cnf(3072,plain,('==>'(X1,X2)=X2|~'>='('==>'(X1,X2),X2)),inference(spm,[status(thm)],[29,2682,theory(equality)])).
% cnf(3075,plain,('>='(X1,'==>'(X2,X3))|~'>='(X1,X3)),inference(spm,[status(thm)],[20,2682,theory(equality)])).
% cnf(3080,negated_conjecture,('>='('+'(esk1_0,esk1_0),esk3_0)),inference(spm,[status(thm)],[1256,2682,theory(equality)])).
% cnf(3083,negated_conjecture,('>='(esk2_0,esk3_0)),inference(spm,[status(thm)],[2682,46,theory(equality)])).
% cnf(3086,negated_conjecture,('>='(esk2_0,esk1_0)),inference(spm,[status(thm)],[2682,47,theory(equality)])).
% cnf(3107,negated_conjecture,('>='(X1,esk3_0)|~'>='(X1,esk2_0)),inference(spm,[status(thm)],[20,3083,theory(equality)])).
% cnf(3118,negated_conjecture,('>='(X1,esk1_0)|~'>='(X1,esk2_0)),inference(spm,[status(thm)],[20,3086,theory(equality)])).
% cnf(3129,negated_conjecture,('>='('+'(esk2_0,X1),esk3_0)),inference(spm,[status(thm)],[3107,2615,theory(equality)])).
% cnf(3147,negated_conjecture,('>='('+'(esk2_0,X1),esk1_0)),inference(spm,[status(thm)],[3118,2615,theory(equality)])).
% cnf(3209,negated_conjecture,('>='('+'(esk3_0,esk3_0),'==>'(X1,esk2_0))),inference(spm,[status(thm)],[3075,89,theory(equality)])).
% cnf(3212,negated_conjecture,('>='('+'(esk1_0,esk1_0),'==>'(X1,esk2_0))),inference(spm,[status(thm)],[3075,100,theory(equality)])).
% cnf(3230,plain,('>='('+'(X1,X2),'==>'(X3,X1))),inference(spm,[status(thm)],[3075,2615,theory(equality)])).
% cnf(3259,negated_conjecture,('>='(esk1_0,'==>'(esk1_0,esk3_0))),inference(spm,[status(thm)],[17,3080,theory(equality)])).
% cnf(3395,negated_conjecture,('>='(X1,'==>'(esk1_0,esk3_0))|~'>='(X1,esk1_0)),inference(spm,[status(thm)],[20,3259,theory(equality)])).
% cnf(3563,plain,('>='('+'(X1,'==>'('+'(X2,X1),X3)),'==>'(X2,X3))),inference(spm,[status(thm)],[17,121,theory(equality)])).
% cnf(3638,negated_conjecture,('>='(X1,'==>'('+'(esk2_0,X2),esk3_0))),inference(spm,[status(thm)],[54,3129,theory(equality)])).
% cnf(3639,negated_conjecture,('>='(X1,'==>'(esk2_0,esk3_0))),inference(spm,[status(thm)],[17,3129,theory(equality)])).
% cnf(3659,negated_conjecture,('>='(X1,'==>'('+'(esk2_0,X2),esk1_0))),inference(spm,[status(thm)],[54,3147,theory(equality)])).
% cnf(3660,negated_conjecture,('>='(X1,'==>'(esk2_0,esk1_0))),inference(spm,[status(thm)],[17,3147,theory(equality)])).
% cnf(3734,negated_conjecture,('==>'(esk2_0,esk3_0)=X1|~'>='('==>'(esk2_0,esk3_0),X1)),inference(spm,[status(thm)],[29,3639,theory(equality)])).
% cnf(3851,negated_conjecture,('==>'(X1,'==>'(esk2_0,esk1_0))='==>'(esk2_0,esk1_0)),inference(spm,[status(thm)],[3072,3660,theory(equality)])).
% cnf(3855,negated_conjecture,('==>'(esk2_0,esk1_0)=X1|~'>='('==>'(esk2_0,esk1_0),X1)),inference(spm,[status(thm)],[29,3660,theory(equality)])).
% cnf(4494,negated_conjecture,('>='('+'(esk1_0,X1),'==>'(esk1_0,esk3_0))),inference(spm,[status(thm)],[3395,2615,theory(equality)])).
% cnf(4595,negated_conjecture,('>='('+'(esk3_0,X1),'+'(esk3_0,'==>'(esk3_0,esk3_0)))|~'>='(X1,'==>'(esk3_0,esk3_0))),inference(spm,[status(thm)],[16,2750,theory(equality)])).
% cnf(4620,negated_conjecture,('>='('+'(esk3_0,X1),'+'(esk3_0,'==>'(esk3_0,esk3_0)))|$false),inference(rw,[status(thm)],[4595,2470,theory(equality)])).
% cnf(4621,negated_conjecture,('>='('+'(esk3_0,X1),'+'(esk3_0,'==>'(esk3_0,esk3_0)))),inference(cn,[status(thm)],[4620,theory(equality)])).
% cnf(4929,plain,('==>'(X1,'==>'(X2,'+'(X2,'+'(X3,X1))))=X3|~'>='('==>'(X1,'==>'(X2,'+'(X2,'+'(X3,X1)))),X3)),inference(spm,[status(thm)],[29,157,theory(equality)])).
% cnf(5114,negated_conjecture,('>='(esk3_0,'==>'(esk3_0,'==>'(X1,esk2_0)))),inference(spm,[status(thm)],[17,3209,theory(equality)])).
% cnf(5131,negated_conjecture,('>='(X1,'==>'(X2,esk2_0))|~'>='(X1,'+'(esk1_0,esk1_0))),inference(spm,[status(thm)],[20,3212,theory(equality)])).
% cnf(5138,negated_conjecture,('>='(esk1_0,'==>'(esk1_0,'==>'(X1,esk2_0)))),inference(spm,[status(thm)],[17,3212,theory(equality)])).
% cnf(5606,plain,('>='('+'(X1,X2),'+'(X1,'==>'(X3,'+'(X3,X2))))),inference(spm,[status(thm)],[16,171,theory(equality)])).
% cnf(5801,negated_conjecture,('>='(X1,'==>'(esk1_0,'==>'(esk1_0,esk3_0)))),inference(spm,[status(thm)],[17,4494,theory(equality)])).
% cnf(6160,plain,('+'(X1,'+'('==>'(X1,X2),'==>'('==>'(X2,X1),X3)))='+'(X2,'+'(X3,'==>'(X3,'==>'(X2,X1))))),inference(spm,[status(thm)],[75,41,theory(equality)])).
% cnf(7544,negated_conjecture,('==>'(esk2_0,esk3_0)='==>'(esk2_0,esk1_0)),inference(spm,[status(thm)],[3734,3660,theory(equality)])).
% cnf(7598,negated_conjecture,('==>'(esk2_0,esk1_0)='==>'(esk2_0,'+'(esk1_0,'==>'(esk1_0,esk2_0)))),inference(spm,[status(thm)],[3855,84,theory(equality)])).
% cnf(7605,negated_conjecture,('==>'(esk2_0,esk1_0)='==>'(esk2_0,'+'(esk1_0,esk1_0))),inference(rw,[status(thm)],[7598,47,theory(equality)])).
% cnf(7749,negated_conjecture,('+'(esk2_0,'==>'(esk2_0,esk1_0))='+'(esk3_0,'==>'(esk3_0,esk2_0))),inference(spm,[status(thm)],[41,7544,theory(equality)])).
% cnf(7798,negated_conjecture,('+'(esk1_0,esk1_0)='+'(esk3_0,'==>'(esk3_0,esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[7749,41,theory(equality)]),47,theory(equality)])).
% cnf(7799,negated_conjecture,('+'(esk1_0,esk1_0)='+'(esk3_0,esk3_0)),inference(rw,[status(thm)],[7798,46,theory(equality)])).
% cnf(7916,negated_conjecture,('==>'(esk3_0,'+'(esk1_0,esk1_0))=esk3_0),inference(rw,[status(thm)],[522,7799,theory(equality)])).
% cnf(8538,negated_conjecture,('>='('+'(esk2_0,X1),'+'(esk1_0,esk1_0))|~'>='(X1,'==>'(esk2_0,esk1_0))),inference(spm,[status(thm)],[16,7605,theory(equality)])).
% cnf(8573,negated_conjecture,('>='('+'(esk2_0,X1),'+'(esk1_0,esk1_0))|$false),inference(rw,[status(thm)],[8538,3660,theory(equality)])).
% cnf(8574,negated_conjecture,('>='('+'(esk2_0,X1),'+'(esk1_0,esk1_0))),inference(cn,[status(thm)],[8573,theory(equality)])).
% cnf(9050,negated_conjecture,('>='(X1,'==>'('==>'(X1,esk2_0),esk3_0))),inference(spm,[status(thm)],[153,3129,theory(equality)])).
% cnf(9052,negated_conjecture,('>='(X1,'==>'('==>'(X1,esk2_0),esk1_0))),inference(spm,[status(thm)],[153,3147,theory(equality)])).
% cnf(9858,negated_conjecture,('==>'(esk2_0,esk1_0)='==>'(esk1_0,'==>'(esk1_0,esk3_0))),inference(spm,[status(thm)],[3855,5801,theory(equality)])).
% cnf(12490,negated_conjecture,('>='('+'(esk2_0,X1),'==>'(X2,esk2_0))),inference(spm,[status(thm)],[5131,8574,theory(equality)])).
% cnf(12492,negated_conjecture,('>='('==>'(X1,esk2_0),'==>'(X1,'+'(esk1_0,esk1_0)))),inference(spm,[status(thm)],[71,8574,theory(equality)])).
% cnf(14848,negated_conjecture,('>='(X1,'==>'('+'('==>'(X1,esk1_0),esk1_0),esk2_0))),inference(spm,[status(thm)],[390,112,theory(equality)])).
% cnf(15001,negated_conjecture,('>='('+'('==>'(X1,esk1_0),esk1_0),'==>'(X1,esk2_0))),inference(spm,[status(thm)],[394,112,theory(equality)])).
% cnf(15383,negated_conjecture,('==>'(esk2_0,esk1_0)='==>'('+'(esk2_0,X1),esk3_0)),inference(spm,[status(thm)],[3855,3638,theory(equality)])).
% cnf(15425,negated_conjecture,('+'('+'(esk2_0,X1),'==>'(esk2_0,esk1_0))='+'(esk3_0,'==>'(esk3_0,'+'(esk2_0,X1)))),inference(spm,[status(thm)],[41,15383,theory(equality)])).
% cnf(15498,negated_conjecture,('+'(esk2_0,'+'(X1,'==>'(esk2_0,esk1_0)))='+'(esk3_0,'==>'(esk3_0,'+'(esk2_0,X1)))),inference(rw,[status(thm)],[15425,26,theory(equality)])).
% cnf(16057,negated_conjecture,('==>'(esk2_0,esk1_0)='==>'('+'(esk2_0,X1),esk1_0)),inference(spm,[status(thm)],[3855,3659,theory(equality)])).
% cnf(16099,negated_conjecture,('+'('+'(esk2_0,X1),'==>'(esk2_0,esk1_0))='+'(esk1_0,'==>'(esk1_0,'+'(esk2_0,X1)))),inference(spm,[status(thm)],[41,16057,theory(equality)])).
% cnf(16173,negated_conjecture,('+'(esk2_0,'+'(X1,'==>'(esk2_0,esk1_0)))='+'(esk1_0,'==>'(esk1_0,'+'(esk2_0,X1)))),inference(rw,[status(thm)],[16099,26,theory(equality)])).
% cnf(18222,plain,('+'(X1,'+'(X3,'==>'(X1,X2)))='+'(X3,'+'(X2,'==>'(X2,X1)))),inference(rw,[status(thm)],[416,423,theory(equality)])).
% cnf(18555,negated_conjecture,('+'(esk2_0,'+'(X1,'==>'(esk2_0,esk3_0)))='+'(X1,'+'(esk3_0,esk3_0))),inference(spm,[status(thm)],[18222,46,theory(equality)])).
% cnf(18694,negated_conjecture,('+'(esk2_0,'+'(X1,'==>'(esk2_0,esk1_0)))='+'(X1,'+'(esk3_0,esk3_0))),inference(rw,[status(thm)],[18555,7544,theory(equality)])).
% cnf(18695,negated_conjecture,('+'(esk2_0,'+'(X1,'==>'(esk2_0,esk1_0)))='+'(X1,'+'(esk1_0,esk1_0))),inference(rw,[status(thm)],[18694,7799,theory(equality)])).
% cnf(19487,negated_conjecture,('==>'(esk2_0,esk1_0)='==>'('==>'('==>'(esk2_0,esk1_0),esk2_0),esk3_0)),inference(spm,[status(thm)],[3855,9050,theory(equality)])).
% cnf(19521,negated_conjecture,('==>'(esk2_0,esk1_0)='==>'('==>'('==>'(esk2_0,esk1_0),esk2_0),esk1_0)),inference(spm,[status(thm)],[3855,9052,theory(equality)])).
% cnf(20100,negated_conjecture,('+'('==>'('==>'(esk2_0,esk1_0),esk2_0),'==>'(esk2_0,esk1_0))='+'(esk3_0,'==>'(esk3_0,'==>'('==>'(esk2_0,esk1_0),esk2_0)))),inference(spm,[status(thm)],[41,19487,theory(equality)])).
% cnf(20170,negated_conjecture,('+'('==>'('==>'(esk2_0,esk1_0),esk2_0),'==>'(esk2_0,esk1_0))='+'(esk1_0,'==>'(esk1_0,'==>'('==>'(esk2_0,esk1_0),esk2_0)))),inference(spm,[status(thm)],[41,19521,theory(equality)])).
% cnf(21264,negated_conjecture,('>='('+'(X1,'+'(esk2_0,X2)),esk2_0)),inference(spm,[status(thm)],[16,12490,theory(equality)])).
% cnf(22943,negated_conjecture,('+'(esk3_0,'==>'(esk3_0,'+'(esk2_0,X1)))='+'(esk1_0,'==>'(esk1_0,'+'(esk2_0,X1)))),inference(rw,[status(thm)],[16173,15498,theory(equality)])).
% cnf(26357,negated_conjecture,('>='(X1,'==>'('+'(esk2_0,X2),esk2_0))),inference(spm,[status(thm)],[59,21264,theory(equality)])).
% cnf(27357,negated_conjecture,('+'(esk1_0,'==>'(esk1_0,'+'(esk2_0,X1)))='+'(X1,'+'(esk1_0,esk1_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[18695,15498,theory(equality)]),22943,theory(equality)])).
% cnf(29816,negated_conjecture,('==>'(esk2_0,esk1_0)='==>'('+'(esk2_0,X1),esk2_0)),inference(spm,[status(thm)],[3855,26357,theory(equality)])).
% cnf(29884,negated_conjecture,('+'('+'(esk2_0,X1),'==>'(esk2_0,esk1_0))='+'(esk2_0,'==>'(esk2_0,'+'(esk2_0,X1)))),inference(spm,[status(thm)],[41,29816,theory(equality)])).
% cnf(29975,negated_conjecture,('+'(X1,'+'(esk1_0,esk1_0))='+'(esk2_0,'==>'(esk2_0,'+'(esk2_0,X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[29884,26,theory(equality)]),15498,theory(equality)]),22943,theory(equality)]),27357,theory(equality)])).
% cnf(39225,negated_conjecture,('>='('+'(X1,'+'(esk3_0,'==>'(X1,esk3_0))),esk2_0)),inference(rw,[status(thm)],[1449,24,theory(equality)])).
% cnf(39254,negated_conjecture,('>='('+'(esk3_0,'==>'(X1,esk3_0)),'==>'(X1,esk2_0))),inference(spm,[status(thm)],[17,39225,theory(equality)])).
% cnf(39255,negated_conjecture,('>='(X1,'==>'('+'(esk3_0,'==>'(X1,esk3_0)),esk2_0))),inference(spm,[status(thm)],[59,39225,theory(equality)])).
% cnf(41521,negated_conjecture,('>='('+'(X1,esk3_0),'+'(esk3_0,'==>'(esk3_0,esk3_0)))),inference(spm,[status(thm)],[4621,24,theory(equality)])).
% cnf(95236,negated_conjecture,('+'(esk1_0,esk1_0)='+'(esk3_0,'==>'(esk3_0,'==>'('==>'(esk2_0,esk1_0),esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20100,24,theory(equality)]),41,theory(equality)]),3851,theory(equality)]),41,theory(equality)]),47,theory(equality)])).
% cnf(95239,negated_conjecture,('==>'(esk3_0,'+'(esk1_0,esk1_0))='==>'(esk3_0,'==>'('==>'(esk2_0,esk1_0),esk2_0))|~'>='('==>'(esk3_0,'+'(esk1_0,esk1_0)),'==>'(esk3_0,'==>'('==>'(esk2_0,esk1_0),esk2_0)))),inference(spm,[status(thm)],[78,95236,theory(equality)])).
% cnf(95459,negated_conjecture,(esk3_0='==>'(esk3_0,'==>'('==>'(esk2_0,esk1_0),esk2_0))|~'>='('==>'(esk3_0,'+'(esk1_0,esk1_0)),'==>'(esk3_0,'==>'('==>'(esk2_0,esk1_0),esk2_0)))),inference(rw,[status(thm)],[95239,7916,theory(equality)])).
% cnf(95460,negated_conjecture,(esk3_0='==>'(esk3_0,'==>'('==>'(esk2_0,esk1_0),esk2_0))|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[95459,7916,theory(equality)]),5114,theory(equality)])).
% cnf(95461,negated_conjecture,(esk3_0='==>'(esk3_0,'==>'('==>'(esk2_0,esk1_0),esk2_0))),inference(cn,[status(thm)],[95460,theory(equality)])).
% cnf(96219,negated_conjecture,('+'(esk1_0,esk1_0)='+'(esk1_0,'==>'(esk1_0,'==>'('==>'(esk2_0,esk1_0),esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20170,24,theory(equality)]),41,theory(equality)]),3851,theory(equality)]),41,theory(equality)]),47,theory(equality)])).
% cnf(96222,negated_conjecture,('==>'(esk1_0,'+'(esk1_0,esk1_0))='==>'(esk1_0,'==>'('==>'(esk2_0,esk1_0),esk2_0))|~'>='('==>'(esk1_0,'+'(esk1_0,esk1_0)),'==>'(esk1_0,'==>'('==>'(esk2_0,esk1_0),esk2_0)))),inference(spm,[status(thm)],[78,96219,theory(equality)])).
% cnf(96453,negated_conjecture,(esk1_0='==>'(esk1_0,'==>'('==>'(esk2_0,esk1_0),esk2_0))|~'>='('==>'(esk1_0,'+'(esk1_0,esk1_0)),'==>'(esk1_0,'==>'('==>'(esk2_0,esk1_0),esk2_0)))),inference(rw,[status(thm)],[96222,1285,theory(equality)])).
% cnf(96454,negated_conjecture,(esk1_0='==>'(esk1_0,'==>'('==>'(esk2_0,esk1_0),esk2_0))|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[96453,1285,theory(equality)]),5138,theory(equality)])).
% cnf(96455,negated_conjecture,(esk1_0='==>'(esk1_0,'==>'('==>'(esk2_0,esk1_0),esk2_0))),inference(cn,[status(thm)],[96454,theory(equality)])).
% cnf(122687,negated_conjecture,('>='('==>'(X1,esk3_0),'==>'('+'(esk3_0,X1),esk2_0))),inference(spm,[status(thm)],[2855,39225,theory(equality)])).
% cnf(126363,plain,('>='(X1,'==>'(X2,X3))|~'>='(X1,'+'(X3,X4))),inference(spm,[status(thm)],[20,3230,theory(equality)])).
% cnf(126795,negated_conjecture,('>='('+'(X1,esk3_0),'==>'(X2,esk3_0))),inference(spm,[status(thm)],[126363,41521,theory(equality)])).
% cnf(127319,negated_conjecture,('>='(X1,'==>'(esk3_0,'==>'(X2,esk3_0)))),inference(spm,[status(thm)],[59,126795,theory(equality)])).
% cnf(127719,negated_conjecture,('==>'(esk2_0,esk1_0)='==>'(esk3_0,'==>'(X1,esk3_0))),inference(spm,[status(thm)],[3855,127319,theory(equality)])).
% cnf(201463,negated_conjecture,('==>'(X1,'+'(esk1_0,esk1_0))='==>'(X1,esk2_0)|$false),inference(rw,[status(thm)],[1240,12492,theory(equality)])).
% cnf(201464,negated_conjecture,('==>'(X1,'+'(esk1_0,esk1_0))='==>'(X1,esk2_0)),inference(cn,[status(thm)],[201463,theory(equality)])).
% cnf(207693,negated_conjecture,('>='(X1,'==>'('+'(esk1_0,'==>'(X1,esk1_0)),esk2_0))),inference(rw,[status(thm)],[14848,24,theory(equality)])).
% cnf(207694,negated_conjecture,('==>'(esk2_0,esk1_0)='==>'('+'(esk1_0,'==>'('==>'(esk2_0,esk1_0),esk1_0)),esk2_0)),inference(spm,[status(thm)],[3855,207693,theory(equality)])).
% cnf(207796,negated_conjecture,('>='('+'(esk1_0,'==>'(X1,esk1_0)),'==>'(X1,esk2_0))),inference(rw,[status(thm)],[15001,24,theory(equality)])).
% cnf(207857,negated_conjecture,('>='('+'(esk1_0,'==>'(esk3_0,esk1_0)),esk3_0)),inference(spm,[status(thm)],[207796,46,theory(equality)])).
% cnf(207978,negated_conjecture,('>='('==>'(esk3_0,esk1_0),'==>'(esk1_0,esk3_0))),inference(spm,[status(thm)],[17,207857,theory(equality)])).
% cnf(209411,negated_conjecture,('>='('==>'('==>'(esk2_0,esk1_0),esk1_0),'==>'(esk1_0,'==>'('==>'(esk2_0,esk1_0),esk2_0)))),inference(spm,[status(thm)],[853,207694,theory(equality)])).
% cnf(209612,negated_conjecture,('>='('==>'('==>'(esk2_0,esk1_0),esk1_0),esk1_0)),inference(rw,[status(thm)],[209411,96455,theory(equality)])).
% cnf(209627,negated_conjecture,(esk1_0='==>'('==>'(esk2_0,esk1_0),esk1_0)|~'>='(esk1_0,'==>'('==>'(esk2_0,esk1_0),esk1_0))),inference(spm,[status(thm)],[29,209612,theory(equality)])).
% cnf(209672,negated_conjecture,(esk1_0='==>'('==>'(esk2_0,esk1_0),esk1_0)|$false),inference(rw,[status(thm)],[209627,2682,theory(equality)])).
% cnf(209673,negated_conjecture,(esk1_0='==>'('==>'(esk2_0,esk1_0),esk1_0)),inference(cn,[status(thm)],[209672,theory(equality)])).
% cnf(244688,negated_conjecture,('>='('+'(X1,'==>'('+'(esk3_0,X1),esk2_0)),esk3_0)),inference(spm,[status(thm)],[3563,46,theory(equality)])).
% cnf(244717,negated_conjecture,('>='('+'(X1,'==>'('+'(esk1_0,X1),esk2_0)),esk1_0)),inference(spm,[status(thm)],[3563,47,theory(equality)])).
% cnf(255756,negated_conjecture,('>='('+'(esk3_0,'==>'(esk1_0,esk3_0)),esk1_0)),inference(spm,[status(thm)],[39254,47,theory(equality)])).
% cnf(255900,negated_conjecture,('>='('==>'(esk1_0,esk3_0),'==>'(esk3_0,esk1_0))),inference(spm,[status(thm)],[17,255756,theory(equality)])).
% cnf(255969,negated_conjecture,('==>'(esk3_0,esk1_0)='==>'(esk1_0,esk3_0)|~'>='('==>'(esk3_0,esk1_0),'==>'(esk1_0,esk3_0))),inference(spm,[status(thm)],[29,255900,theory(equality)])).
% cnf(256013,negated_conjecture,('==>'(esk3_0,esk1_0)='==>'(esk1_0,esk3_0)|$false),inference(rw,[status(thm)],[255969,207978,theory(equality)])).
% cnf(256014,negated_conjecture,('==>'(esk3_0,esk1_0)='==>'(esk1_0,esk3_0)),inference(cn,[status(thm)],[256013,theory(equality)])).
% cnf(256023,negated_conjecture,('+'(esk3_0,'==>'(esk1_0,esk3_0))='+'(esk1_0,'==>'(esk1_0,esk3_0))),inference(spm,[status(thm)],[41,256014,theory(equality)])).
% cnf(256025,negated_conjecture,('+'(esk3_0,'+'('==>'(esk1_0,esk3_0),X1))='+'(esk1_0,'+'('==>'(esk1_0,esk3_0),X1))),inference(spm,[status(thm)],[75,256014,theory(equality)])).
% cnf(272197,negated_conjecture,('==>'(esk2_0,esk1_0)='==>'('+'(esk3_0,'==>'('==>'(esk2_0,esk1_0),esk3_0)),esk2_0)),inference(spm,[status(thm)],[3855,39255,theory(equality)])).
% cnf(272659,negated_conjecture,('>='('==>'('==>'(esk2_0,esk1_0),esk3_0),'==>'(esk3_0,'==>'('==>'(esk2_0,esk1_0),esk2_0)))),inference(spm,[status(thm)],[853,272197,theory(equality)])).
% cnf(272894,negated_conjecture,('>='('==>'('==>'(esk2_0,esk1_0),esk3_0),esk3_0)),inference(rw,[status(thm)],[272659,95461,theory(equality)])).
% cnf(272906,negated_conjecture,(esk3_0='==>'('==>'(esk2_0,esk1_0),esk3_0)|~'>='(esk3_0,'==>'('==>'(esk2_0,esk1_0),esk3_0))),inference(spm,[status(thm)],[29,272894,theory(equality)])).
% cnf(272951,negated_conjecture,(esk3_0='==>'('==>'(esk2_0,esk1_0),esk3_0)|$false),inference(rw,[status(thm)],[272906,2682,theory(equality)])).
% cnf(272952,negated_conjecture,(esk3_0='==>'('==>'(esk2_0,esk1_0),esk3_0)),inference(cn,[status(thm)],[272951,theory(equality)])).
% cnf(509459,negated_conjecture,('>='('+'(esk2_0,X1),'+'(X1,'+'(esk1_0,esk1_0)))),inference(spm,[status(thm)],[5606,29975,theory(equality)])).
% cnf(512878,negated_conjecture,('>='('==>'('+'(esk3_0,X1),esk2_0),'==>'(X1,esk3_0))),inference(spm,[status(thm)],[17,244688,theory(equality)])).
% cnf(513045,negated_conjecture,('>='('==>'('+'(esk1_0,X1),esk2_0),'==>'(X1,esk1_0))),inference(spm,[status(thm)],[17,244717,theory(equality)])).
% cnf(683078,negated_conjecture,('+'(X1,'+'(esk1_0,esk1_0))='+'(esk2_0,X1)|~'>='('+'(X1,'+'(esk1_0,esk1_0)),'+'(esk2_0,X1))),inference(spm,[status(thm)],[29,509459,theory(equality)])).
% cnf(683306,negated_conjecture,('+'(X1,'+'(esk1_0,esk1_0))='+'(esk2_0,X1)|$false),inference(rw,[status(thm)],[683078,2108,theory(equality)])).
% cnf(683307,negated_conjecture,('+'(X1,'+'(esk1_0,esk1_0))='+'(esk2_0,X1)),inference(cn,[status(thm)],[683306,theory(equality)])).
% cnf(684462,negated_conjecture,('+'(esk2_0,X1)='+'('+'(esk1_0,esk1_0),X1)),inference(spm,[status(thm)],[24,683307,theory(equality)])).
% cnf(685881,negated_conjecture,('+'(esk2_0,X1)='+'(esk1_0,'+'(esk1_0,X1))),inference(rw,[status(thm)],[684462,26,theory(equality)])).
% cnf(686887,negated_conjecture,('+'(esk2_0,'==>'(esk1_0,X1))='+'(esk1_0,'+'(X1,'==>'(X1,esk1_0)))),inference(spm,[status(thm)],[18222,685881,theory(equality)])).
% cnf(707036,negated_conjecture,('==>'(X1,esk3_0)='==>'('+'(esk3_0,X1),esk2_0)|~'>='('==>'(X1,esk3_0),'==>'('+'(esk3_0,X1),esk2_0))),inference(spm,[status(thm)],[29,512878,theory(equality)])).
% cnf(707197,negated_conjecture,('==>'(X1,esk3_0)='==>'('+'(esk3_0,X1),esk2_0)|$false),inference(rw,[status(thm)],[707036,122687,theory(equality)])).
% cnf(707198,negated_conjecture,('==>'(X1,esk3_0)='==>'('+'(esk3_0,X1),esk2_0)),inference(cn,[status(thm)],[707197,theory(equality)])).
% cnf(707845,negated_conjecture,('==>'('+'(esk1_0,'==>'(esk1_0,esk3_0)),esk2_0)='==>'('==>'(esk1_0,esk3_0),esk3_0)),inference(spm,[status(thm)],[707198,256023,theory(equality)])).
% cnf(714034,negated_conjecture,('==>'(X1,esk1_0)='==>'('+'(esk1_0,X1),esk2_0)|~'>='('==>'(X1,esk1_0),'==>'('+'(esk1_0,X1),esk2_0))),inference(spm,[status(thm)],[29,513045,theory(equality)])).
% cnf(714192,negated_conjecture,('==>'(X1,esk1_0)='==>'('+'(esk1_0,X1),esk2_0)|$false),inference(rw,[status(thm)],[714034,2870,theory(equality)])).
% cnf(714193,negated_conjecture,('==>'(X1,esk1_0)='==>'('+'(esk1_0,X1),esk2_0)),inference(cn,[status(thm)],[714192,theory(equality)])).
% cnf(714877,negated_conjecture,('==>'('==>'(esk1_0,esk3_0),esk1_0)='==>'('==>'(esk1_0,esk3_0),esk3_0)),inference(rw,[status(thm)],[707845,714193,theory(equality)])).
% cnf(850502,negated_conjecture,('+'(esk3_0,'+'('==>'(esk3_0,esk1_0),'==>'('==>'(esk1_0,esk3_0),esk1_0)))='+'(esk1_0,'+'(esk3_0,'==>'(esk3_0,'==>'(esk1_0,esk3_0))))),inference(spm,[status(thm)],[6160,714877,theory(equality)])).
% cnf(851971,negated_conjecture,('+'(esk1_0,esk1_0)='+'(esk1_0,'+'(esk3_0,'==>'(esk3_0,'==>'(esk1_0,esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[850502,256014,theory(equality)]),256025,theory(equality)]),686887,theory(equality)]),9858,theory(equality)]),41,theory(equality)]),47,theory(equality)])).
% cnf(851972,negated_conjecture,('+'(esk1_0,esk1_0)='+'(esk1_0,'+'(esk3_0,'==>'(esk2_0,esk1_0)))),inference(rw,[status(thm)],[851971,127719,theory(equality)])).
% cnf(852198,negated_conjecture,('>='(esk1_0,'==>'('+'(esk3_0,'==>'(esk2_0,esk1_0)),'+'(esk1_0,esk1_0)))),inference(spm,[status(thm)],[86,851972,theory(equality)])).
% cnf(852810,negated_conjecture,('==>'('==>'(esk2_0,esk1_0),'==>'(esk1_0,'+'(esk1_0,esk1_0)))=esk3_0|~'>='('==>'('==>'(esk2_0,esk1_0),'==>'(esk1_0,'+'(esk1_0,esk1_0))),esk3_0)),inference(spm,[status(thm)],[4929,851972,theory(equality)])).
% cnf(853106,negated_conjecture,('>='(esk1_0,esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[852198,201464,theory(equality)]),707198,theory(equality)]),272952,theory(equality)])).
% cnf(853720,negated_conjecture,(esk1_0=esk3_0|~'>='('==>'('==>'(esk2_0,esk1_0),'==>'(esk1_0,'+'(esk1_0,esk1_0))),esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[852810,201464,theory(equality)]),47,theory(equality)]),209673,theory(equality)])).
% cnf(853721,negated_conjecture,(esk1_0=esk3_0|~'>='(esk1_0,esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[853720,201464,theory(equality)]),47,theory(equality)]),209673,theory(equality)])).
% cnf(853722,negated_conjecture,(~'>='(esk1_0,esk3_0)),inference(sr,[status(thm)],[853721,45,theory(equality)])).
% cnf(854010,negated_conjecture,($false),inference(sr,[status(thm)],[853106,853722,theory(equality)])).
% cnf(854011,negated_conjecture,($false),854010,['proof']).
% # SZS output end CNFRefutation
% PrfWatch: 33.10 CPU 33.75 WC
% FINAL PrfWatch: 33.10 CPU 33.75 WC
% SZS output end Solution for /tmp/SystemOnTPTP21196/LCL888+1.tptp
%
%------------------------------------------------------------------------------