TSTP Solution File: PUZ037-3 by CSE

TSTP Solution File: PUZ037-3 by CSE_E---1.5

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ037-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n001.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 : Thu Aug 31 13:12:18 EDT 2023

% Result   : Unsatisfiable 9.75s 9.82s
% Output   : CNFRefutation 9.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   24 (   9 unt;   7 typ;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   54 (   1   >;  53   *;   0   +;   0  <<)
%            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   :  432 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    b: $i ).

tff(decl_23,type,
    r: $i ).

tff(decl_24,type,
    g: $i ).

tff(decl_25,type,
    o: $i ).

tff(decl_26,type,
    y: $i ).

tff(decl_27,type,
    w: $i ).

tff(decl_28,type,
    state: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).

cnf(bzy,axiom,
    ( 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)
    | ~ 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/benchmark/theBenchmark.p',bzy) ).

cnf(start_with_this,hypothesis,
    state(b,r,r,w,w,w,y,b,b,g,y,r,b,g,g,o,g,y,w,w,r,g,o,r,b,g,g,o,r,b,y,y,r,g,o,g,o,o,o,y,r,b,y,y,r,w,w,w,b,b,y,w,o,o),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_with_this) ).

cnf(myz,axiom,
    ( 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)
    | ~ 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/benchmark/theBenchmark.p',myz) ).

cnf(byx,axiom,
    ( 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)
    | ~ 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/benchmark/theBenchmark.p',byx) ).

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/benchmark/theBenchmark.p',lzx) ).

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/benchmark/theBenchmark.p',make_like_this) ).

cnf(c_0_6,axiom,
    ( 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)
    | ~ 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) ),
    bzy ).

cnf(c_0_7,hypothesis,
    state(b,r,r,w,w,w,y,b,b,g,y,r,b,g,g,o,g,y,w,w,r,g,o,r,b,g,g,o,r,b,y,y,r,g,o,g,o,o,o,y,r,b,y,y,r,w,w,w,b,b,y,w,o,o),
    start_with_this ).

cnf(c_0_8,axiom,
    ( 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)
    | ~ 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) ),
    myz ).

cnf(c_0_9,hypothesis,
    state(y,b,b,w,w,w,y,b,b,r,y,r,b,g,g,o,g,o,y,y,w,r,o,r,b,g,g,o,r,o,y,y,w,b,o,g,o,o,o,y,r,w,r,r,r,w,w,w,b,b,y,g,g,g),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,hypothesis,
    state(y,b,b,o,o,y,y,b,b,r,b,r,b,g,g,o,w,o,y,y,w,r,b,r,b,g,g,o,w,o,y,y,w,b,y,g,o,o,o,y,w,w,r,r,r,w,w,w,r,r,g,g,g,g),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,axiom,
    ( 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)
    | ~ 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) ),
    byx ).

cnf(c_0_12,hypothesis,
    state(y,b,b,y,b,b,y,b,b,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,b,g,g,o,o,o,y,y,w,r,r,r,w,w,w,w,w,w,g,g,g),
    inference(spm,[status(thm)],[c_0_8,c_0_10]) ).

cnf(c_0_13,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_14,hypothesis,
    state(y,b,b,y,b,b,y,b,b,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,g,w,w,g,w,w,g,w,w),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,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_16,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PUZ037-3 : TPTP v8.1.2. Released v2.3.0.
% 0.13/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 22:29:31 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 9.75/9.82  % Version  : CSE_E---1.5
% 9.75/9.82  % Problem  : theBenchmark.p
% 9.75/9.82  % Proof found
% 9.75/9.82  % SZS status Theorem for theBenchmark.p
% 9.75/9.82  % SZS output start Proof
% See solution above
% 9.75/9.82  % Total time : 9.231000 s
% 9.75/9.82  % SZS output end Proof
% 9.75/9.82  % Total time : 9.236000 s
%------------------------------------------------------------------------------