TSTP Solution File: PUZ016-2.004 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : PUZ016-2.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 09:10:46 EDT 2024

% Result   : Satisfiable 0.21s 0.50s
% Output   : Saturation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_53)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_49,negated_conjecture,
    ~ horizontal_1_1,
    c_0_45,
    [final] ).

cnf(c_0_52,negated_conjecture,
    ~ horizontal_1_3,
    c_0_46,
    [final] ).

cnf(c_0_57,negated_conjecture,
    vertical_1_1,
    inference(sr,[status(thm)],[c_0_48,c_0_49]),
    [final] ).

cnf(c_0_61,negated_conjecture,
    vertical_1_4,
    inference(sr,[status(thm)],[c_0_51,c_0_52]),
    [final] ).

cnf(c_0_62,negated_conjecture,
    ( ~ vertical_3_3
    | ~ horizontal_3_2 ),
    c_0_53,
    [final] ).

cnf(c_0_63,negated_conjecture,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    covered_3_2,
    [final] ).

cnf(c_0_66,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ horizontal_3_1 ),
    c_0_55,
    [final] ).

cnf(c_0_67,negated_conjecture,
    ( horizontal_3_3
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    covered_3_3,
    [final] ).

cnf(c_0_69,negated_conjecture,
    ~ vertical_2_1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]),
    [final] ).

cnf(c_0_72,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ horizontal_3_2 ),
    c_0_59,
    [final] ).

cnf(c_0_74,negated_conjecture,
    ~ vertical_2_4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]),
    [final] ).

cnf(c_0_76,negated_conjecture,
    ( vertical_3_2
    | horizontal_3_1
    | vertical_2_2
    | ~ vertical_3_3 ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]),
    [final] ).

cnf(c_0_77,negated_conjecture,
    ( horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    covered_4_3,
    [final] ).

cnf(c_0_80,negated_conjecture,
    ~ vertical_1_3,
    c_0_64,
    [final] ).

cnf(c_0_81,negated_conjecture,
    ~ horizontal_2_3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_61])]),
    [final] ).

cnf(c_0_83,negated_conjecture,
    ( vertical_3_3
    | horizontal_3_3
    | vertical_2_3
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]),
    [final] ).

cnf(c_0_84,negated_conjecture,
    ( vertical_3_1
    | horizontal_3_1 ),
    inference(sr,[status(thm)],[c_0_68,c_0_69]),
    [final] ).

cnf(c_0_87,negated_conjecture,
    ~ vertical_1_2,
    c_0_70,
    [final] ).

cnf(c_0_88,negated_conjecture,
    ~ horizontal_2_1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_57])]),
    [final] ).

cnf(c_0_89,negated_conjecture,
    ( vertical_3_2
    | horizontal_3_1
    | vertical_2_2
    | ~ horizontal_3_3 ),
    inference(spm,[status(thm)],[c_0_72,c_0_63]),
    [final] ).

cnf(c_0_90,negated_conjecture,
    ( vertical_3_4
    | horizontal_3_3 ),
    inference(sr,[status(thm)],[c_0_73,c_0_74]),
    [final] ).

cnf(c_0_93,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ vertical_2_2 ),
    c_0_75,
    [final] ).

cnf(c_0_95,negated_conjecture,
    ( ~ vertical_3_3
    | ~ vertical_2_3 ),
    c_0_78,
    [final] ).

cnf(c_0_96,negated_conjecture,
    ( vertical_2_3
    | horizontal_2_2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_79,c_0_80]),c_0_81]),
    [final] ).

cnf(c_0_97,negated_conjecture,
    ( ~ vertical_2_3
    | ~ horizontal_2_2 ),
    c_0_82,
    [final] ).

cnf(c_0_99,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ vertical_2_2 ),
    c_0_85,
    [final] ).

cnf(c_0_100,negated_conjecture,
    ( vertical_2_2
    | horizontal_2_2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_86,c_0_87]),c_0_88]),
    [final] ).

cnf(c_0_102,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_2_3 ),
    c_0_91,
    [final] ).

cnf(c_0_103,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ horizontal_4_2 ),
    c_0_92,
    [final] ).

cnf(c_0_104,negated_conjecture,
    ( horizontal_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    covered_4_2,
    [final] ).

cnf(c_0_107,negated_conjecture,
    ( horizontal_2_2
    | ~ vertical_3_3 ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]),
    [final] ).

cnf(c_0_111,negated_conjecture,
    ( horizontal_2_2
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]),
    [final] ).

cnf(c_0_114,negated_conjecture,
    ( horizontal_2_2
    | ~ horizontal_3_3 ),
    inference(spm,[status(thm)],[c_0_102,c_0_96]),
    [final] ).

cnf(c_0_116,negated_conjecture,
    ( horizontal_4_1
    | vertical_3_2
    | ~ horizontal_4_3 ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]),
    [final] ).

cnf(c_0_117,negated_conjecture,
    ( horizontal_4_3
    | vertical_3_4 ),
    covered_4_4,
    [final] ).

cnf(c_0_123,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ horizontal_4_1 ),
    c_0_105,
    [final] ).

cnf(c_0_124,negated_conjecture,
    ( horizontal_4_3
    | horizontal_4_2
    | vertical_3_2
    | horizontal_3_1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_77]),
    [final] ).

cnf(c_0_125,negated_conjecture,
    ( ~ horizontal_4_1
    | ~ vertical_3_2 ),
    c_0_108,
    [final] ).

cnf(c_0_126,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_3_3 ),
    c_0_109,
    [final] ).

cnf(c_0_127,negated_conjecture,
    ( vertical_3_3
    | horizontal_3_3
    | vertical_3_1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_84]),
    [final] ).

cnf(c_0_128,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_3_3 ),
    c_0_112,
    [final] ).

cnf(c_0_129,negated_conjecture,
    ( vertical_3_4
    | vertical_3_2
    | horizontal_3_1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_90]),
    [final] ).

cnf(c_0_130,negated_conjecture,
    ( ~ vertical_3_2
    | ~ horizontal_3_1 ),
    c_0_115,
    [final] ).

cnf(c_0_131,negated_conjecture,
    ( horizontal_4_1
    | vertical_3_4
    | vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]),
    [final] ).

cnf(c_0_132,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ vertical_3_2 ),
    c_0_118,
    [final] ).

cnf(c_0_133,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_3_3 ),
    c_0_119,
    [final] ).

cnf(c_0_137,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ vertical_2_2 ),
    c_0_120,
    [final] ).

cnf(c_0_138,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ vertical_2_3 ),
    c_0_121,
    [final] ).

cnf(c_0_139,negated_conjecture,
    ( ~ vertical_3_2
    | ~ vertical_2_2 ),
    c_0_122,
    [final] ).

cnf(c_0_143,negated_conjecture,
    ( horizontal_4_3
    | horizontal_3_1
    | ~ horizontal_4_1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]),
    [final] ).

cnf(c_0_144,negated_conjecture,
    ( horizontal_3_3
    | vertical_3_1
    | ~ horizontal_4_3 ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]),
    [final] ).

cnf(c_0_145,negated_conjecture,
    ( horizontal_3_3
    | vertical_3_1
    | ~ horizontal_4_2 ),
    inference(spm,[status(thm)],[c_0_128,c_0_127]),
    [final] ).

cnf(c_0_146,negated_conjecture,
    ( vertical_3_4
    | horizontal_3_1
    | ~ horizontal_4_1 ),
    inference(spm,[status(thm)],[c_0_125,c_0_129]),
    [final] ).

cnf(c_0_147,negated_conjecture,
    ( horizontal_4_1
    | vertical_3_4
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]),
    [final] ).

cnf(c_0_148,negated_conjecture,
    ( vertical_3_3
    | horizontal_3_3
    | vertical_2_3
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_132,c_0_67]),
    [final] ).

cnf(c_0_149,negated_conjecture,
    ( horizontal_4_3
    | horizontal_4_2
    | ~ horizontal_3_3 ),
    inference(spm,[status(thm)],[c_0_133,c_0_77]),
    [final] ).

cnf(c_0_150,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_3_4 ),
    c_0_134,
    [final] ).

cnf(c_0_151,negated_conjecture,
    ( ~ vertical_3_4
    | ~ horizontal_3_3 ),
    c_0_135,
    [final] ).

cnf(c_0_152,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_3_2 ),
    c_0_136,
    [final] ).

cnf(c_0_153,negated_conjecture,
    ( vertical_3_3
    | horizontal_3_3
    | vertical_2_3
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_137,c_0_67]),
    [final] ).

cnf(c_0_154,negated_conjecture,
    ( vertical_3_2
    | horizontal_3_1
    | vertical_2_2
    | ~ vertical_2_3 ),
    inference(spm,[status(thm)],[c_0_138,c_0_63]),
    [final] ).

cnf(c_0_155,negated_conjecture,
    ( horizontal_2_2
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_139,c_0_100]),
    [final] ).

cnf(c_0_156,negated_conjecture,
    ( ~ horizontal_4_1
    | ~ vertical_3_1 ),
    c_0_140,
    [final] ).

cnf(c_0_157,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ vertical_3_1 ),
    c_0_141,
    [final] ).

cnf(c_0_158,negated_conjecture,
    ( horizontal_4_1
    | vertical_3_1 ),
    covered_4_1,
    [final] ).

cnf(c_0_159,negated_conjecture,
    ~ horizontal_1_2,
    c_0_142,
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : PUZ016-2.004 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 11:43:15 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.ZZvZxebMPl/E---3.1_5637.p
% 0.21/0.50  # Version: 3.1.0
% 0.21/0.50  # Preprocessing class: FSMSSLSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50  # Starting sh5l with 300s (1) cores
% 0.21/0.50  # new_bool_1 with pid 5740 completed with status 1
% 0.21/0.50  # Result found by new_bool_1
% 0.21/0.50  # Preprocessing class: FSMSSLSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.50  # Search class: FGHNF-FFSM00-SFFFFFNN
% 0.21/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 0.21/0.50  # G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 5743 completed with status 1
% 0.21/0.50  # Result found by G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 0.21/0.50  # Preprocessing class: FSMSSLSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.50  # Search class: FGHNF-FFSM00-SFFFFFNN
% 0.21/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 0.21/0.50  # Preprocessing time       : 0.001 s
% 0.21/0.50  # Presaturation interreduction done
% 0.21/0.50  
% 0.21/0.50  # No proof found!
% 0.21/0.50  # SZS status Satisfiable
% 0.21/0.50  # SZS output start Saturation
% See solution above
% 0.21/0.51  # Parsed axioms                        : 66
% 0.21/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.51  # Initial clauses                      : 66
% 0.21/0.51  # Removed in clause preprocessing      : 0
% 0.21/0.51  # Initial clauses in saturation        : 66
% 0.21/0.51  # Processed clauses                    : 153
% 0.21/0.51  # ...of these trivial                  : 2
% 0.21/0.51  # ...subsumed                          : 32
% 0.21/0.51  # ...remaining for further processing  : 119
% 0.21/0.51  # Other redundant clauses eliminated   : 0
% 0.21/0.51  # Clauses deleted for lack of memory   : 0
% 0.21/0.51  # Backward-subsumed                    : 6
% 0.21/0.51  # Backward-rewritten                   : 0
% 0.21/0.51  # Generated clauses                    : 80
% 0.21/0.51  # ...of the previous two non-redundant : 47
% 0.21/0.51  # ...aggressively subsumed             : 0
% 0.21/0.51  # Contextual simplify-reflections      : 4
% 0.21/0.51  # Paramodulations                      : 78
% 0.21/0.51  # Factorizations                       : 0
% 0.21/0.51  # NegExts                              : 0
% 0.21/0.51  # Equation resolutions                 : 0
% 0.21/0.51  # Disequality decompositions           : 0
% 0.21/0.51  # Total rewrite steps                  : 7
% 0.21/0.51  # ...of those cached                   : 5
% 0.21/0.51  # Propositional unsat checks           : 0
% 0.21/0.51  #    Propositional check models        : 0
% 0.21/0.51  #    Propositional check unsatisfiable : 0
% 0.21/0.51  #    Propositional clauses             : 0
% 0.21/0.51  #    Propositional clauses after purity: 0
% 0.21/0.51  #    Propositional unsat core size     : 0
% 0.21/0.51  #    Propositional preprocessing time  : 0.000
% 0.21/0.51  #    Propositional encoding time       : 0.000
% 0.21/0.51  #    Propositional solver time         : 0.000
% 0.21/0.51  #    Success case prop preproc time    : 0.000
% 0.21/0.51  #    Success case prop encoding time   : 0.000
% 0.21/0.51  #    Success case prop solver time     : 0.000
% 0.21/0.51  # Current number of processed clauses  : 66
% 0.21/0.51  #    Positive orientable unit clauses  : 2
% 0.21/0.51  #    Positive unorientable unit clauses: 0
% 0.21/0.51  #    Negative unit clauses             : 9
% 0.21/0.51  #    Non-unit-clauses                  : 55
% 0.21/0.51  # Current number of unprocessed clauses: 0
% 0.21/0.51  # ...number of literals in the above   : 0
% 0.21/0.51  # Current number of archived formulas  : 0
% 0.21/0.51  # Current number of archived clauses   : 53
% 0.21/0.51  # Clause-clause subsumption calls (NU) : 1428
% 0.21/0.51  # Rec. Clause-clause subsumption calls : 505
% 0.21/0.51  # Non-unit clause-clause subsumptions  : 23
% 0.21/0.51  # Unit Clause-clause subsumption calls : 26
% 0.21/0.51  # Rewrite failures with RHS unbound    : 0
% 0.21/0.51  # BW rewrite match attempts            : 0
% 0.21/0.51  # BW rewrite match successes           : 0
% 0.21/0.51  # Condensation attempts                : 0
% 0.21/0.51  # Condensation successes               : 0
% 0.21/0.51  # Termbank termtop insertions          : 1524
% 0.21/0.51  # Search garbage collected termcells   : 71
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.006 s
% 0.21/0.51  # System time              : 0.002 s
% 0.21/0.51  # Total time               : 0.008 s
% 0.21/0.51  # Maximum resident set size: 1816 pages
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.007 s
% 0.21/0.51  # System time              : 0.005 s
% 0.21/0.51  # Total time               : 0.012 s
% 0.21/0.51  # Maximum resident set size: 1752 pages
% 0.21/0.51  % E---3.1 exiting
% 0.21/0.51  % E exiting
%------------------------------------------------------------------------------