TSTP Solution File: PUZ037-2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : PUZ037-2 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:12:46 EDT 2023

% Result   : Unsatisfiable 0.17s 0.55s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   7 unt;   0 nHn;  13 RR)
%            Number of literals    :   19 (   0 equ;   8 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-54 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :  324 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(mxy,axiom,
    ( state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X25,X26,X27,X28,X29,X30,X31,X32,X33,X22,X23,X24,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54)
    | ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54) ),
    file('/export/starexec/sandbox/tmp/tmp.QinkRlRhTj/E---3.1_16340.p',mxy) ).

cnf(start_with_this,hypothesis,
    state(y,b,y,y,b,y,y,b,y,r,r,r,b,g,b,o,o,o,w,y,w,w,y,w,r,r,r,b,g,b,o,o,o,r,r,r,b,g,b,o,o,o,w,y,w,g,w,g,g,w,g,g,w,g),
    file('/export/starexec/sandbox/tmp/tmp.QinkRlRhTj/E---3.1_16340.p',start_with_this) ).

cnf(lzx,axiom,
    ( state(X13,X2,X3,X25,X5,X6,X37,X8,X9,X12,X24,X36,X46,X14,X15,X16,X17,X18,X19,X20,X7,X11,X23,X35,X49,X26,X27,X28,X29,X30,X31,X32,X4,X10,X22,X34,X52,X38,X39,X40,X41,X42,X43,X44,X1,X45,X47,X48,X33,X50,X51,X21,X53,X54)
    | ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54) ),
    file('/export/starexec/sandbox/tmp/tmp.QinkRlRhTj/E---3.1_16340.p',lzx) ).

cnf(rzx,axiom,
    ( state(X1,X2,X15,X4,X5,X27,X7,X8,X39,X10,X11,X12,X13,X14,X48,X40,X28,X16,X9,X20,X21,X22,X23,X24,X25,X26,X51,X41,X29,X17,X6,X32,X33,X34,X35,X36,X37,X38,X54,X42,X30,X18,X3,X44,X45,X46,X47,X43,X49,X50,X31,X52,X53,X19)
    | ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54) ),
    file('/export/starexec/sandbox/tmp/tmp.QinkRlRhTj/E---3.1_16340.p',rzx) ).

cnf(make_like_this,negated_conjecture,
    ~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
    file('/export/starexec/sandbox/tmp/tmp.QinkRlRhTj/E---3.1_16340.p',make_like_this) ).

cnf(c_0_5,axiom,
    ( state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X25,X26,X27,X28,X29,X30,X31,X32,X33,X22,X23,X24,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54)
    | ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54) ),
    mxy ).

cnf(c_0_6,hypothesis,
    state(y,b,y,y,b,y,y,b,y,r,r,r,b,g,b,o,o,o,w,y,w,w,y,w,r,r,r,b,g,b,o,o,o,r,r,r,b,g,b,o,o,o,w,y,w,g,w,g,g,w,g,g,w,g),
    start_with_this ).

cnf(c_0_7,axiom,
    ( state(X13,X2,X3,X25,X5,X6,X37,X8,X9,X12,X24,X36,X46,X14,X15,X16,X17,X18,X19,X20,X7,X11,X23,X35,X49,X26,X27,X28,X29,X30,X31,X32,X4,X10,X22,X34,X52,X38,X39,X40,X41,X42,X43,X44,X1,X45,X47,X48,X33,X50,X51,X21,X53,X54)
    | ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54) ),
    lzx ).

cnf(c_0_8,hypothesis,
    state(y,b,y,y,b,y,y,b,y,r,r,r,b,g,b,o,o,o,w,y,w,r,r,r,b,g,b,o,o,o,w,y,w,r,r,r,b,g,b,o,o,o,w,y,w,g,w,g,g,w,g,g,w,g),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,axiom,
    ( state(X1,X2,X15,X4,X5,X27,X7,X8,X39,X10,X11,X12,X13,X14,X48,X40,X28,X16,X9,X20,X21,X22,X23,X24,X25,X26,X51,X41,X29,X17,X6,X32,X33,X34,X35,X36,X37,X38,X54,X42,X30,X18,X3,X44,X45,X46,X47,X43,X49,X50,X31,X52,X53,X19)
    | ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54) ),
    rzx ).

cnf(c_0_10,hypothesis,
    state(b,b,y,b,b,y,b,b,y,r,r,r,g,g,b,o,o,o,w,y,y,r,r,r,g,g,b,o,o,o,w,y,y,r,r,r,g,g,b,o,o,o,w,y,y,w,w,g,w,w,g,w,w,g),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    ~ state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
    make_like_this ).

cnf(c_0_12,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : PUZ037-2 : TPTP v8.1.2. Released v2.3.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n017.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 2400
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Oct  2 18:25:56 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.17/0.43  Running first-order model finding
% 0.17/0.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.QinkRlRhTj/E---3.1_16340.p
% 0.17/0.55  # Version: 3.1pre001
% 0.17/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.55  # Starting sh5l with 300s (1) cores
% 0.17/0.55  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 16417 completed with status 0
% 0.17/0.55  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.55  # No SInE strategy applied
% 0.17/0.55  # Search class: FHUNF-FFLF00-SFFFFFNN
% 0.17/0.55  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.55  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 811s (1) cores
% 0.17/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.55  # Starting new_bool_3 with 136s (1) cores
% 0.17/0.55  # Starting new_bool_1 with 136s (1) cores
% 0.17/0.55  # Starting sh5l with 136s (1) cores
% 0.17/0.55  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 16422 completed with status 0
% 0.17/0.55  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.55  # No SInE strategy applied
% 0.17/0.55  # Search class: FHUNF-FFLF00-SFFFFFNN
% 0.17/0.55  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.55  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 811s (1) cores
% 0.17/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.55  # Preprocessing time       : 0.001 s
% 0.17/0.55  # Presaturation interreduction done
% 0.17/0.55  
% 0.17/0.55  # Proof found!
% 0.17/0.55  # SZS status Unsatisfiable
% 0.17/0.55  # SZS output start CNFRefutation
% See solution above
% 0.17/0.55  # Parsed axioms                        : 20
% 0.17/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.55  # Initial clauses                      : 20
% 0.17/0.55  # Removed in clause preprocessing      : 0
% 0.17/0.55  # Initial clauses in saturation        : 20
% 0.17/0.55  # Processed clauses                    : 328
% 0.17/0.55  # ...of these trivial                  : 36
% 0.17/0.55  # ...subsumed                          : 0
% 0.17/0.55  # ...remaining for further processing  : 292
% 0.17/0.55  # Other redundant clauses eliminated   : 0
% 0.17/0.55  # Clauses deleted for lack of memory   : 0
% 0.17/0.55  # Backward-subsumed                    : 0
% 0.17/0.55  # Backward-rewritten                   : 0
% 0.17/0.55  # Generated clauses                    : 4554
% 0.17/0.55  # ...of the previous two non-redundant : 4257
% 0.17/0.55  # ...aggressively subsumed             : 0
% 0.17/0.55  # Contextual simplify-reflections      : 0
% 0.17/0.55  # Paramodulations                      : 4554
% 0.17/0.55  # Factorizations                       : 0
% 0.17/0.55  # NegExts                              : 0
% 0.17/0.55  # Equation resolutions                 : 0
% 0.17/0.55  # Total rewrite steps                  : 332
% 0.17/0.55  # Propositional unsat checks           : 0
% 0.17/0.55  #    Propositional check models        : 0
% 0.17/0.55  #    Propositional check unsatisfiable : 0
% 0.17/0.55  #    Propositional clauses             : 0
% 0.17/0.55  #    Propositional clauses after purity: 0
% 0.17/0.55  #    Propositional unsat core size     : 0
% 0.17/0.55  #    Propositional preprocessing time  : 0.000
% 0.17/0.55  #    Propositional encoding time       : 0.000
% 0.17/0.55  #    Propositional solver time         : 0.000
% 0.17/0.55  #    Success case prop preproc time    : 0.000
% 0.17/0.55  #    Success case prop encoding time   : 0.000
% 0.17/0.55  #    Success case prop solver time     : 0.000
% 0.17/0.55  # Current number of processed clauses  : 272
% 0.17/0.55  #    Positive orientable unit clauses  : 253
% 0.17/0.55  #    Positive unorientable unit clauses: 0
% 0.17/0.55  #    Negative unit clauses             : 1
% 0.17/0.55  #    Non-unit-clauses                  : 18
% 0.17/0.55  # Current number of unprocessed clauses: 3953
% 0.17/0.55  # ...number of literals in the above   : 3953
% 0.17/0.55  # Current number of archived formulas  : 0
% 0.17/0.55  # Current number of archived clauses   : 20
% 0.17/0.55  # Clause-clause subsumption calls (NU) : 612
% 0.17/0.55  # Rec. Clause-clause subsumption calls : 612
% 0.17/0.55  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.55  # Unit Clause-clause subsumption calls : 0
% 0.17/0.55  # Rewrite failures with RHS unbound    : 0
% 0.17/0.55  # BW rewrite match attempts            : 4880
% 0.17/0.55  # BW rewrite match successes           : 0
% 0.17/0.55  # Condensation attempts                : 0
% 0.17/0.55  # Condensation successes               : 0
% 0.17/0.55  # Termbank termtop insertions          : 264754
% 0.17/0.55  
% 0.17/0.55  # -------------------------------------------------
% 0.17/0.55  # User time                : 0.085 s
% 0.17/0.55  # System time              : 0.022 s
% 0.17/0.55  # Total time               : 0.107 s
% 0.17/0.55  # Maximum resident set size: 1684 pages
% 0.17/0.55  
% 0.17/0.55  # -------------------------------------------------
% 0.17/0.55  # User time                : 0.501 s
% 0.17/0.55  # System time              : 0.039 s
% 0.17/0.55  # Total time               : 0.541 s
% 0.17/0.55  # Maximum resident set size: 1720 pages
% 0.17/0.55  % E---3.1 exiting
%------------------------------------------------------------------------------