TSTP Solution File: PUZ038-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : PUZ038-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n018.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 13:11:02 EDT 2023

% Result   : Unsatisfiable 0.20s 0.65s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PUZ038-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.17/0.35  % Computer : n018.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit   : 300
% 0.17/0.35  % WCLimit    : 300
% 0.17/0.35  % DateTime   : Sat Aug 26 22:38:00 EDT 2023
% 0.17/0.35  % CPUTime    : 
% 0.20/0.58  start to proof:theBenchmark
% 0.20/0.65  %-------------------------------------------
% 0.20/0.65  % File        :CSE---1.6
% 0.20/0.65  % Problem     :theBenchmark
% 0.20/0.65  % Transform   :cnf
% 0.20/0.65  % Format      :tptp:raw
% 0.20/0.65  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.65  
% 0.20/0.65  % Result      :Theorem 0.010000s
% 0.20/0.65  % Output      :CNFRefutation 0.010000s
% 0.20/0.65  %-------------------------------------------
% 0.20/0.65  %--------------------------------------------------------------------------
% 0.20/0.65  % File     : PUZ038-1 : TPTP v8.1.2. Released v2.4.0.
% 0.20/0.65  % Domain   : Puzzles
% 0.20/0.65  % Problem  : Quo vadis 1
% 0.20/0.65  % Version  : Especial.
% 0.20/0.65  % English  : bb is big block (square, size=4 tiles).
% 0.20/0.65  %            s1-s4 : 4 small square blocks, size=1 tile
% 0.20/0.65  %            v1-v4: 4 vertical blocks, size= 2 tiles
% 0.20/0.65  %            b1: horizontal block, size= 2 tiles
% 0.20/0.65  %            e1, e2 are the 2 blank tiles
% 0.20/0.65  %            It's a 5x4 playing field to move from the start state to
% 0.20/0.65  %            the goal state. This is a simple goal for testing.
% 0.20/0.65  
% 0.20/0.65  % Refs     :
% 0.20/0.65  % Source   : [TPTP]
% 0.20/0.65  % Names    :
% 0.20/0.65  
% 0.20/0.65  % Status   : Unsatisfiable
% 0.20/0.65  % Rating   : 0.00 v6.1.0, 0.07 v6.0.0, 0.11 v5.5.0, 0.12 v5.4.0, 0.11 v5.3.0, 0.20 v5.2.0, 0.15 v5.1.0, 0.12 v5.0.0, 0.07 v4.0.1, 0.14 v3.4.0, 0.00 v2.5.0, 0.14 v2.4.0
% 0.20/0.65  % Syntax   : Number of clauses     :   43 (   2 unt;   0 nHn;  43 RR)
% 0.20/0.65  %            Number of literals    :   84 (   0 equ;  42 neg)
% 0.20/0.65  %            Maximal clause size   :    2 (   1 avg)
% 0.20/0.65  %            Maximal term depth    :    6 (   1 avg)
% 0.20/0.65  %            Number of predicates  :    1 (   1 usr;   0 prp; 12-12 aty)
% 0.20/0.65  %            Number of functors    :   14 (  14 usr;   1 con; 0-2 aty)
% 0.20/0.65  %            Number of variables   :  491 (  11 sgn)
% 0.20/0.65  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 0.20/0.65  
% 0.20/0.65  % Comments :
% 0.20/0.65  %--------------------------------------------------------------------------
% 0.20/0.65  %----Include axioms for quo vadis
% 0.20/0.65  include('Axioms/PUZ004-0.ax').
% 0.20/0.65  %--------------------------------------------------------------------------
% 0.20/0.65  cnf(initial_state,hypothesis,
% 0.20/0.65      state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))) ).
% 0.20/0.65  
% 0.20/0.65  cnf(goal_state,negated_conjecture,
% 0.20/0.65      ~ state(B,V1,V2,v3(s(s(s(o))),o),V4,H,S1,S2,S3,S4,E1,E2) ).
% 0.20/0.65  
% 0.20/0.65  %--------------------------------------------------------------------------
% 0.20/0.65  %-------------------------------------------
% 0.20/0.65  % Proof found
% 0.20/0.65  % SZS status Theorem for theBenchmark
% 0.20/0.65  % SZS output start Proof
% 0.20/0.65  %ClaNum:43(EqnAxiom:0)
% 0.20/0.65  %VarNum:1187(SingletonVarNum:491)
% 0.20/0.65  %MaxLitNum:2
% 0.20/0.65  %MaxfuncDepth:5
% 0.20/0.65  %SharedTerms:19
% 0.20/0.65  %goalClause: 2
% 0.20/0.65  %singleGoalClaCount:1
% 0.20/0.65  [1]P1(f2(a1,f6(a1)),f7(a1,a1),f12(a1,f6(f6(f6(a1)))),f13(f6(f6(a1)),a1),f14(f6(f6(a1)),f6(f6(f6(a1)))),f3(f6(f6(a1)),f6(a1)),f8(f6(f6(f6(a1))),f6(a1)),f9(f6(f6(f6(a1))),f6(f6(a1))),f10(f6(f6(f6(f6(a1)))),f6(a1)),f11(f6(f6(f6(f6(a1)))),f6(f6(a1))),f4(f6(f6(f6(f6(a1)))),a1),f5(f6(f6(f6(f6(a1)))),f6(f6(f6(a1)))))
% 0.20/0.65  [2]~P1(x21,x22,x23,f13(f6(f6(f6(a1))),a1),x24,x25,x26,x27,x28,x29,x210,x211)
% 0.20/0.65  [30]~P1(x301,x302,x303,x304,x305,f3(f6(x306),x307),x308,x309,x3010,x3011,f4(x306,x307),f5(x306,f6(x307)))+P1(x301,x302,x303,x304,x305,f3(x306,x307),x308,x309,x3010,x3011,f4(f6(x306),x307),f5(f6(x306),f6(x307)))
% 0.20/0.65  [31]~P1(x311,x312,x313,x314,f14(x315,f6(x316)),x317,x318,x319,x3110,x3111,f4(x315,x316),f5(f6(x315),x316))+P1(x311,x312,x313,x314,f14(x315,x316),x317,x318,x319,x3110,x3111,f4(x315,f6(x316)),f5(f6(x315),f6(x316)))
% 0.20/0.65  [32]~P1(x321,x322,x323,f13(x324,f6(x325)),x326,x327,x328,x329,x3210,x3211,f4(x324,x325),f5(f6(x324),x325))+P1(x321,x322,x323,f13(x324,x325),x326,x327,x328,x329,x3210,x3211,f4(x324,f6(x325)),f5(f6(x324),f6(x325)))
% 0.20/0.65  [33]~P1(x331,x332,f12(x333,f6(x334)),x335,x336,x337,x338,x339,x3310,x3311,f4(x333,x334),f5(f6(x333),x334))+P1(x331,x332,f12(x333,x334),x335,x336,x337,x338,x339,x3310,x3311,f4(x333,f6(x334)),f5(f6(x333),f6(x334)))
% 0.20/0.65  [34]~P1(x341,f7(x342,f6(x343)),x344,x345,x346,x347,x348,x349,x3410,x3411,f4(x342,x343),f5(f6(x342),x343))+P1(x341,f7(x342,x343),x344,x345,x346,x347,x348,x349,x3410,x3411,f4(x342,f6(x343)),f5(f6(x342),f6(x343)))
% 0.20/0.65  [35]~P1(x351,x352,x353,x354,x355,f3(x356,x357),x358,x359,x3510,x3511,f4(f6(x356),x357),f5(f6(x356),f6(x357)))+P1(x351,x352,x353,x354,x355,f3(f6(x356),x357),x358,x359,x3510,x3511,f4(x356,x357),f5(x356,f6(x357)))
% 0.20/0.65  [36]~P1(x361,x362,x363,x364,f14(x365,x366),x367,x368,x369,x3610,x3611,f4(x365,f6(x366)),f5(f6(x365),f6(x366)))+P1(x361,x362,x363,x364,f14(x365,f6(x366)),x367,x368,x369,x3610,x3611,f4(x365,x366),f5(f6(x365),x366))
% 0.20/0.65  [37]~P1(x371,x372,x373,f13(x374,x375),x376,x377,x378,x379,x3710,x3711,f4(x374,f6(x375)),f5(f6(x374),f6(x375)))+P1(x371,x372,x373,f13(x374,f6(x375)),x376,x377,x378,x379,x3710,x3711,f4(x374,x375),f5(f6(x374),x375))
% 0.20/0.65  [38]~P1(x381,x382,f12(x383,x384),x385,x386,x387,x388,x389,x3810,x3811,f4(x383,f6(x384)),f5(f6(x383),f6(x384)))+P1(x381,x382,f12(x383,f6(x384)),x385,x386,x387,x388,x389,x3810,x3811,f4(x383,x384),f5(f6(x383),x384))
% 0.20/0.65  [39]~P1(x391,f7(x392,x393),x394,x395,x396,x397,x398,x399,x3910,x3911,f4(x392,f6(x393)),f5(f6(x392),f6(x393)))+P1(x391,f7(x392,f6(x393)),x394,x395,x396,x397,x398,x399,x3910,x3911,f4(x392,x393),f5(f6(x392),x393))
% 0.20/0.65  [40]~P1(f2(x401,f6(x402)),x403,x404,x405,x406,x407,x408,x409,x4010,x4011,f4(x401,x402),f5(f6(x401),x402))+P1(f2(x401,x402),x403,x404,x405,x406,x407,x408,x409,x4010,x4011,f4(x401,f6(f6(x402))),f5(f6(x401),f6(f6(x402))))
% 0.20/0.65  [41]~P1(f2(f6(x411),x412),x413,x414,x415,x416,x417,x418,x419,x4110,x4111,f4(x411,x412),f5(x411,f6(x412)))+P1(f2(x411,x412),x413,x414,x415,x416,x417,x418,x419,x4110,x4111,f4(f6(f6(x411)),x412),f5(f6(f6(x411)),f6(x412)))
% 0.20/0.65  [42]P1(f2(x421,f6(x422)),x423,x424,x425,x426,x427,x428,x429,x4210,x4211,f4(x421,x422),f5(f6(x421),x422))+~P1(f2(x421,x422),x423,x424,x425,x426,x427,x428,x429,x4210,x4211,f4(x421,f6(f6(x422))),f5(f6(x421),f6(f6(x422))))
% 0.20/0.65  [43]P1(f2(f6(x431),x432),x433,x434,x435,x436,x437,x438,x439,x4310,x4311,f4(x431,x432),f5(x431,f6(x432)))+~P1(f2(x431,x432),x433,x434,x435,x436,x437,x438,x439,x4310,x4311,f4(f6(f6(x431)),x432),f5(f6(f6(x431)),f6(x432)))
% 0.20/0.65  [4]~P1(x41,x42,x43,x44,x45,x46,x47,x48,x49,f11(x410,f6(x411)),f4(x410,x411),x412)+P1(x41,x42,x43,x44,x45,x46,x47,x48,x49,f11(x410,x411),f4(x410,f6(x411)),x412)
% 0.20/0.65  [5]~P1(x51,x52,x53,x54,x55,x56,x57,x58,x59,f11(f6(x510),x511),f4(x510,x511),x512)+P1(x51,x52,x53,x54,x55,x56,x57,x58,x59,f11(x510,x511),f4(f6(x510),x511),x512)
% 0.20/0.65  [6]~P1(x61,x62,x63,x64,x65,x66,x67,x68,x69,f11(x610,x611),f4(x610,f6(x611)),x612)+P1(x61,x62,x63,x64,x65,x66,x67,x68,x69,f11(x610,f6(x611)),f4(x610,x611),x612)
% 0.20/0.65  [7]~P1(x71,x72,x73,x74,x75,x76,x77,x78,x79,f11(x710,x711),f4(f6(x710),x711),x712)+P1(x71,x72,x73,x74,x75,x76,x77,x78,x79,f11(f6(x710),x711),f4(x710,x711),x712)
% 0.20/0.65  [8]~P1(x81,x82,x83,x84,x85,x86,x87,x88,f10(x89,f6(x810)),x811,f4(x89,x810),x812)+P1(x81,x82,x83,x84,x85,x86,x87,x88,f10(x89,x810),x811,f4(x89,f6(x810)),x812)
% 0.20/0.65  [9]~P1(x91,x92,x93,x94,x95,x96,x97,x98,f10(f6(x99),x910),x911,f4(x99,x910),x912)+P1(x91,x92,x93,x94,x95,x96,x97,x98,f10(x99,x910),x911,f4(f6(x99),x910),x912)
% 0.20/0.65  [10]~P1(x101,x102,x103,x104,x105,x106,x107,x108,f10(x109,x1010),x1011,f4(x109,f6(x1010)),x1012)+P1(x101,x102,x103,x104,x105,x106,x107,x108,f10(x109,f6(x1010)),x1011,f4(x109,x1010),x1012)
% 0.20/0.65  [11]~P1(x111,x112,x113,x114,x115,x116,x117,x118,f10(x119,x1110),x1111,f4(f6(x119),x1110),x1112)+P1(x111,x112,x113,x114,x115,x116,x117,x118,f10(f6(x119),x1110),x1111,f4(x119,x1110),x1112)
% 0.20/0.65  [12]~P1(x121,x122,x123,x124,x125,x126,x127,f9(x128,f6(x129)),x1210,x1211,f4(x128,x129),x1212)+P1(x121,x122,x123,x124,x125,x126,x127,f9(x128,x129),x1210,x1211,f4(x128,f6(x129)),x1212)
% 0.20/0.65  [13]~P1(x131,x132,x133,x134,x135,x136,x137,f9(f6(x138),x139),x1310,x1311,f4(x138,x139),x1312)+P1(x131,x132,x133,x134,x135,x136,x137,f9(x138,x139),x1310,x1311,f4(f6(x138),x139),x1312)
% 0.20/0.65  [14]~P1(x141,x142,x143,x144,x145,x146,x147,f9(x148,x149),x1410,x1411,f4(x148,f6(x149)),x1412)+P1(x141,x142,x143,x144,x145,x146,x147,f9(x148,f6(x149)),x1410,x1411,f4(x148,x149),x1412)
% 0.20/0.65  [15]~P1(x151,x152,x153,x154,x155,x156,x157,f9(x158,x159),x1510,x1511,f4(f6(x158),x159),x1512)+P1(x151,x152,x153,x154,x155,x156,x157,f9(f6(x158),x159),x1510,x1511,f4(x158,x159),x1512)
% 0.20/0.65  [16]~P1(x161,x162,x163,x164,x165,x166,f8(x167,f6(x168)),x169,x1610,x1611,f4(x167,x168),x1612)+P1(x161,x162,x163,x164,x165,x166,f8(x167,x168),x169,x1610,x1611,f4(x167,f6(x168)),x1612)
% 0.20/0.65  [17]~P1(x171,x172,x173,x174,x175,x176,f8(f6(x177),x178),x179,x1710,x1711,f4(x177,x178),x1712)+P1(x171,x172,x173,x174,x175,x176,f8(x177,x178),x179,x1710,x1711,f4(f6(x177),x178),x1712)
% 0.20/0.65  [18]~P1(x181,x182,x183,x184,x185,x186,f8(x187,x188),x189,x1810,x1811,f4(x187,f6(x188)),x1812)+P1(x181,x182,x183,x184,x185,x186,f8(x187,f6(x188)),x189,x1810,x1811,f4(x187,x188),x1812)
% 0.20/0.65  [19]~P1(x191,x192,x193,x194,x195,x196,f8(x197,x198),x199,x1910,x1911,f4(f6(x197),x198),x1912)+P1(x191,x192,x193,x194,x195,x196,f8(f6(x197),x198),x199,x1910,x1911,f4(x197,x198),x1912)
% 0.20/0.65  [20]~P1(x201,x202,x203,x204,x205,f3(x206,f6(x207)),x208,x209,x2010,x2011,f4(x206,x207),x2012)+P1(x201,x202,x203,x204,x205,f3(x206,x207),x208,x209,x2010,x2011,f4(x206,f6(f6(x207))),x2012)
% 0.20/0.65  [21]~P1(x211,x212,x213,x214,f14(f6(x215),x216),x217,x218,x219,x2110,x2111,f4(x215,x216),x2112)+P1(x211,x212,x213,x214,f14(x215,x216),x217,x218,x219,x2110,x2111,f4(f6(f6(x215)),x216),x2112)
% 0.20/0.65  [22]~P1(x221,x222,x223,f13(f6(x224),x225),x226,x227,x228,x229,x2210,x2211,f4(x224,x225),x2212)+P1(x221,x222,x223,f13(x224,x225),x226,x227,x228,x229,x2210,x2211,f4(f6(f6(x224)),x225),x2212)
% 0.20/0.65  [23]~P1(x231,x232,f12(f6(x233),x234),x235,x236,x237,x238,x239,x2310,x2311,f4(x233,x234),x2312)+P1(x231,x232,f12(x233,x234),x235,x236,x237,x238,x239,x2310,x2311,f4(f6(f6(x233)),x234),x2312)
% 0.20/0.65  [24]~P1(x241,f7(f6(x242),x243),x244,x245,x246,x247,x248,x249,x2410,x2411,f4(x242,x243),x2412)+P1(x241,f7(x242,x243),x244,x245,x246,x247,x248,x249,x2410,x2411,f4(f6(f6(x242)),x243),x2412)
% 0.20/0.65  [25]P1(x251,x252,x253,x254,x255,f3(x256,f6(x257)),x258,x259,x2510,x2511,f4(x256,x257),x2512)+~P1(x251,x252,x253,x254,x255,f3(x256,x257),x258,x259,x2510,x2511,f4(x256,f6(f6(x257))),x2512)
% 0.20/0.65  [26]P1(x261,x262,x263,x264,f14(f6(x265),x266),x267,x268,x269,x2610,x2611,f4(x265,x266),x2612)+~P1(x261,x262,x263,x264,f14(x265,x266),x267,x268,x269,x2610,x2611,f4(f6(f6(x265)),x266),x2612)
% 0.20/0.65  [27]P1(x271,x272,x273,f13(f6(x274),x275),x276,x277,x278,x279,x2710,x2711,f4(x274,x275),x2712)+~P1(x271,x272,x273,f13(x274,x275),x276,x277,x278,x279,x2710,x2711,f4(f6(f6(x274)),x275),x2712)
% 0.20/0.65  [28]P1(x281,x282,f12(f6(x283),x284),x285,x286,x287,x288,x289,x2810,x2811,f4(x283,x284),x2812)+~P1(x281,x282,f12(x283,x284),x285,x286,x287,x288,x289,x2810,x2811,f4(f6(f6(x283)),x284),x2812)
% 0.20/0.65  [29]P1(x291,f7(f6(x292),x293),x294,x295,x296,x297,x298,x299,x2910,x2911,f4(x292,x293),x2912)+~P1(x291,f7(x292,x293),x294,x295,x296,x297,x298,x299,x2910,x2911,f4(f6(f6(x292)),x293),x2912)
% 0.20/0.65  [3]~P1(x31,x32,x33,x34,x35,x36,x37,x38,x39,x310,f4(x313,x314),f5(x311,x312))+P1(x31,x32,x33,x34,x35,x36,x37,x38,x39,x310,f4(x311,x312),f5(x313,x314))
% 0.20/0.65  %EqnAxiom
% 0.20/0.65  
% 0.20/0.65  %-------------------------------------------
% 0.20/0.66  cnf(44,plain,
% 0.20/0.66     ($false),
% 0.20/0.66     inference(scs_inference,[],[2,1,27]),
% 0.20/0.66     ['proof']).
% 0.20/0.66  % SZS output end Proof
% 0.20/0.66  % Total time :0.010000s
%------------------------------------------------------------------------------