TSTP Solution File: PUZ037-2 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : PUZ037-2 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n021.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  : 600s
% DateTime : Mon Jul 18 18:11:02 EDT 2022

% Result   : Unsatisfiable 5.71s 1.10s
% Output   : CNFRefutation 5.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ037-2 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun May 29 00:17:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.37  # No SInE strategy applied
% 0.12/0.37  # Auto-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.12/0.37  # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.12/0.37  #
% 0.12/0.37  # Presaturation interreduction done
% 0.12/0.37  # Number of axioms: 20 Number of unprocessed: 20
% 0.12/0.37  # Tableaux proof search.
% 0.12/0.37  # APR header successfully linked.
% 0.12/0.37  # Hello from C++
% 0.12/0.37  # The folding up rule is enabled...
% 0.12/0.37  # Local unification is enabled...
% 0.12/0.37  # Any saturation attempts will use folding labels...
% 0.12/0.37  # 20 beginning clauses after preprocessing and clausification
% 0.12/0.37  # Creating start rules for all 1 conjectures.
% 0.12/0.37  # There are 1 start rule candidates:
% 0.12/0.37  # Found 2 unit axioms.
% 0.12/0.37  # 1 start rule tableaux created.
% 0.12/0.37  # 18 extension rule candidate clauses
% 0.12/0.37  # 2 unit axiom clauses
% 0.12/0.37  
% 0.12/0.37  # Requested 8, 32 cores available to the main process.
% 0.12/0.37  # There are not enough tableaux to fork, creating more from the initial 1
% 0.12/0.37  # Returning from population with 18 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.37  # We now have 18 tableaux to operate on
% 5.71/1.10  # There were 1 total branch saturation attempts.
% 5.71/1.10  # There were 0 of these attempts blocked.
% 5.71/1.10  # There were 0 deferred branch saturation attempts.
% 5.71/1.10  # There were 0 free duplicated saturations.
% 5.71/1.10  # There were 1 total successful branch saturations.
% 5.71/1.10  # There were 0 successful branch saturations in interreduction.
% 5.71/1.10  # There were 0 successful branch saturations on the branch.
% 5.71/1.10  # There were 1 successful branch saturations after the branch.
% 5.71/1.10  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.71/1.10  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.71/1.10  # Begin clausification derivation
% 5.71/1.10  
% 5.71/1.10  # End clausification derivation
% 5.71/1.10  # Begin listing active clauses obtained from FOF to CNF conversion
% 5.71/1.10  cnf(i_0_22, 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))).
% 5.71/1.10  cnf(i_0_21, 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))).
% 5.71/1.10  cnf(i_0_38, plain, (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)|~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))).
% 5.71/1.10  cnf(i_0_37, plain, (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)|~state(X18,X30,X42,X4,X5,X6,X7,X8,X9,X3,X11,X12,X13,X14,X15,X16,X17,X54,X43,X31,X19,X2,X23,X24,X25,X26,X27,X28,X29,X53,X44,X32,X20,X1,X35,X36,X37,X38,X39,X40,X41,X52,X45,X33,X21,X46,X47,X48,X49,X50,X51,X10,X22,X34))).
% 5.71/1.10  cnf(i_0_28, plain, (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)|~state(X34,X22,X10,X4,X5,X6,X7,X8,X9,X52,X11,X12,X13,X14,X15,X16,X17,X1,X21,X33,X45,X53,X23,X24,X25,X26,X27,X28,X29,X2,X20,X32,X44,X54,X35,X36,X37,X38,X39,X40,X41,X3,X19,X31,X43,X46,X47,X48,X49,X50,X51,X42,X30,X18))).
% 5.71/1.10  cnf(i_0_29, plain, (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)|~state(X45,X2,X3,X33,X5,X6,X21,X8,X9,X34,X22,X10,X1,X14,X15,X16,X17,X18,X19,X20,X52,X35,X23,X11,X4,X26,X27,X28,X29,X30,X31,X32,X49,X36,X24,X12,X7,X38,X39,X40,X41,X42,X43,X44,X46,X13,X47,X48,X25,X50,X51,X37,X53,X54))).
% 5.71/1.10  cnf(i_0_23, plain, (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)|~state(X3,X6,X9,X2,X5,X8,X1,X4,X7,X19,X20,X21,X10,X11,X12,X13,X14,X15,X16,X17,X18,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))).
% 5.71/1.10  cnf(i_0_32, plain, (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)|~state(X7,X4,X1,X8,X5,X2,X9,X6,X3,X13,X14,X15,X16,X17,X18,X19,X20,X21,X10,X11,X12,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))).
% 5.71/1.10  cnf(i_0_39, plain, (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)|~state(X1,X14,X3,X4,X26,X6,X7,X38,X9,X10,X11,X12,X13,X47,X15,X16,X17,X18,X19,X8,X21,X22,X23,X24,X25,X50,X27,X28,X29,X30,X31,X5,X33,X34,X35,X36,X37,X53,X39,X40,X41,X42,X43,X2,X45,X46,X44,X48,X49,X32,X51,X52,X20,X54))).
% 5.71/1.10  cnf(i_0_30, plain, (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)|~state(X1,X44,X3,X4,X32,X6,X7,X20,X9,X10,X11,X12,X13,X2,X15,X16,X17,X18,X19,X53,X21,X22,X23,X24,X25,X5,X27,X28,X29,X30,X31,X50,X33,X34,X35,X36,X37,X8,X39,X40,X41,X42,X43,X47,X45,X46,X14,X48,X49,X26,X51,X52,X38,X54))).
% 5.71/1.10  cnf(i_0_40, plain, (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)|~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))).
% 5.71/1.10  cnf(i_0_31, plain, (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)|~state(X1,X2,X43,X4,X5,X31,X7,X8,X19,X10,X11,X12,X13,X14,X3,X18,X30,X42,X54,X20,X21,X22,X23,X24,X25,X26,X6,X17,X29,X41,X51,X32,X33,X34,X35,X36,X37,X38,X9,X16,X28,X40,X48,X44,X45,X46,X47,X15,X49,X50,X27,X52,X53,X39))).
% 5.71/1.10  cnf(i_0_36, plain, (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)|~state(X1,X2,X3,X17,X29,X41,X7,X8,X9,X10,X6,X12,X13,X14,X15,X16,X51,X18,X19,X20,X21,X22,X5,X24,X25,X26,X27,X28,X50,X30,X31,X32,X33,X34,X4,X36,X37,X38,X39,X40,X49,X42,X43,X44,X45,X46,X47,X48,X11,X23,X35,X52,X53,X54))).
% 5.71/1.10  cnf(i_0_27, plain, (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)|~state(X1,X2,X3,X35,X23,X11,X7,X8,X9,X10,X49,X12,X13,X14,X15,X16,X4,X18,X19,X20,X21,X22,X50,X24,X25,X26,X27,X28,X5,X30,X31,X32,X33,X34,X51,X36,X37,X38,X39,X40,X6,X42,X43,X44,X45,X46,X47,X48,X41,X29,X17,X52,X53,X54))).
% 5.71/1.10  cnf(i_0_35, plain, (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)|~state(X1,X2,X3,X4,X5,X6,X16,X28,X40,X10,X11,X9,X15,X27,X39,X48,X17,X18,X19,X20,X21,X22,X23,X8,X14,X26,X38,X47,X29,X30,X31,X32,X33,X34,X35,X7,X13,X25,X37,X46,X41,X42,X43,X44,X45,X12,X24,X36,X49,X50,X51,X52,X53,X54))).
% 5.71/1.10  cnf(i_0_26, plain, (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)|~state(X1,X2,X3,X4,X5,X6,X36,X24,X12,X10,X11,X46,X37,X25,X13,X7,X17,X18,X19,X20,X21,X22,X23,X47,X38,X26,X14,X8,X29,X30,X31,X32,X33,X34,X35,X48,X39,X27,X15,X9,X41,X42,X43,X44,X45,X40,X28,X16,X49,X50,X51,X52,X53,X54))).
% 5.71/1.10  cnf(i_0_33, plain, (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)|~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))).
% 5.71/1.10  cnf(i_0_24, plain, (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)|~state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X31,X32,X33,X22,X23,X24,X25,X26,X27,X28,X29,X30,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54))).
% 5.71/1.10  cnf(i_0_34, plain, (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)|~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,X37,X38,X39,X40,X41,X42,X43,X44,X45,X34,X35,X36,X48,X51,X54,X47,X50,X53,X46,X49,X52))).
% 5.71/1.10  cnf(i_0_25, plain, (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)|~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,X43,X44,X45,X34,X35,X36,X37,X38,X39,X40,X41,X42,X52,X49,X46,X53,X50,X47,X54,X51,X48))).
% 5.71/1.10  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 5.71/1.10  # Begin printing tableau
% 5.71/1.10  # Found 4 steps
% 5.71/1.10  cnf(i_0_21, 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)), inference(start_rule)).
% 5.71/1.10  cnf(i_0_41, plain, (~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)), inference(extension_rule, [i_0_26])).
% 5.71/1.10  cnf(i_0_69, plain, (~state(b,b,b,b,b,b,r,r,r,r,r,w,g,g,g,b,o,o,y,y,y,r,r,w,g,g,g,b,o,o,y,y,y,r,r,w,g,g,g,b,o,o,y,y,y,o,o,o,w,w,w,w,w,w)), inference(extension_rule, [i_0_38])).
% 5.71/1.10  cnf(i_0_79, plain, (~state(g,b,b,g,b,b,g,r,r,w,w,w,o,g,g,b,o,o,y,y,r,r,r,r,w,g,g,b,o,o,y,y,b,r,r,r,w,g,g,b,o,o,y,y,b,y,o,o,y,w,w,y,w,w)), inference(etableau_closure_rule, [i_0_79, ...])).
% 5.71/1.10  # End printing tableau
% 5.71/1.10  # SZS output end
% 5.71/1.10  # Branches closed with saturation will be marked with an "s"
% 5.71/1.11  # Child (2863) has found a proof.
% 5.71/1.11  
% 5.71/1.11  # Proof search is over...
% 5.71/1.11  # Freeing feature tree
%------------------------------------------------------------------------------