TSTP Solution File: PUZ037-3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ037-3 : TPTP v8.2.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% 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 : Tue May 21 02:29:08 EDT 2024

% Result   : Unsatisfiable 171.52s 32.42s
% Output   : Refutation 171.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   57 (  20 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   :  216 ( 216   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f70671,plain,
    $false,
    inference(subsumption_resolution,[],[f70659,f1]) ).

fof(f1,axiom,
    ~ 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) ).

fof(f70659,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(resolution,[],[f2658,f9]) ).

fof(f9,axiom,
    ! [X2,X21,X28,X39,X46,X49,X6,X9,X16,X27,X34,X53,X13,X20,X31,X38,X41,X48,X1,X8,X19,X26,X45,X52,X5,X12,X23,X30,X33,X40,X51,X0,X11,X18,X37,X44,X4,X15,X22,X25,X32,X43,X50,X3,X10,X29,X36,X47,X7,X14,X17,X24,X35,X42] :
      ( ~ state(X9,X4,X21,X10,X22,X23,X11,X24,X25,X0,X3,X6,X12,X26,X27,X28,X29,X30,X31,X32,X20,X1,X33,X7,X13,X34,X35,X36,X37,X38,X39,X40,X19,X2,X5,X8,X14,X41,X42,X43,X44,X45,X46,X47,X18,X15,X48,X49,X16,X50,X51,X17,X52,X53)
      | state(X12,X4,X21,X13,X22,X23,X14,X24,X25,X6,X7,X8,X15,X26,X27,X28,X29,X30,X31,X32,X11,X3,X33,X5,X16,X34,X35,X36,X37,X38,X39,X40,X10,X0,X1,X2,X17,X41,X42,X43,X44,X45,X46,X47,X9,X18,X48,X49,X19,X50,X51,X20,X52,X53) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lzx) ).

fof(f2658,plain,
    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(resolution,[],[f341,f14]) ).

fof(f14,axiom,
    ! [X2,X21,X28,X39,X46,X49,X6,X9,X16,X27,X34,X53,X13,X20,X31,X38,X41,X48,X1,X8,X19,X26,X45,X52,X5,X12,X23,X30,X33,X40,X51,X0,X11,X18,X37,X44,X4,X15,X22,X25,X32,X43,X50,X3,X10,X29,X36,X47,X7,X14,X17,X24,X35,X42] :
      ( ~ state(X4,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,X12,X13,X14,X15,X16,X17,X18,X19,X20,X9,X10,X11,X6,X7,X8,X3,X53,X5,X0,X1,X2)
      | state(X4,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,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X0,X3,X6,X1,X53,X7,X2,X5,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',byx) ).

fof(f341,plain,
    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(resolution,[],[f8,f246]) ).

fof(f246,plain,
    state(b,r,r,y,b,b,y,b,b,g,r,r,b,g,g,o,o,y,w,w,r,g,r,r,b,g,g,o,o,b,y,y,r,g,g,g,o,o,o,y,y,b,y,y,r,w,w,w,w,w,w,w,o,o),
    inference(resolution,[],[f208,f7]) ).

fof(f7,axiom,
    ! [X21,X28,X39,X46,X49,X56,X9,X16,X27,X34,X53,X60,X13,X20,X31,X38,X41,X48,X59,X19,X26,X45,X52,X12,X23,X30,X33,X40,X51,X58,X11,X18,X37,X44,X55,X4,X15,X22,X25,X32,X43,X50,X10,X29,X36,X47,X54,X57,X14,X17,X24,X35,X42,X61] :
      ( ~ state(X4,X21,X22,X9,X10,X11,X23,X24,X25,X26,X20,X27,X28,X29,X30,X31,X12,X32,X33,X34,X35,X36,X19,X37,X38,X39,X40,X41,X13,X42,X43,X44,X45,X46,X18,X47,X48,X49,X50,X51,X14,X52,X53,X54,X55,X56,X57,X58,X17,X16,X15,X59,X60,X61)
      | state(X4,X21,X22,X12,X13,X14,X23,X24,X25,X26,X11,X27,X28,X29,X30,X31,X15,X32,X33,X34,X35,X36,X10,X37,X38,X39,X40,X41,X16,X42,X43,X44,X45,X46,X9,X47,X48,X49,X50,X51,X17,X52,X53,X54,X55,X56,X57,X58,X20,X19,X18,X59,X60,X61) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mzy) ).

fof(f208,plain,
    state(b,r,r,g,r,r,y,b,b,g,w,r,b,g,g,o,y,y,w,w,r,g,w,r,b,g,g,o,b,b,y,y,r,g,w,g,o,o,o,y,b,b,y,y,r,w,w,w,y,o,o,w,o,o),
    inference(resolution,[],[f7,f2]) ).

fof(f2,axiom,
    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) ).

fof(f8,axiom,
    ! [X2,X21,X28,X39,X46,X49,X6,X9,X16,X27,X34,X53,X13,X20,X31,X38,X41,X48,X1,X8,X19,X26,X45,X52,X5,X12,X23,X30,X33,X40,X51,X0,X11,X18,X37,X44,X4,X15,X22,X25,X32,X43,X50,X3,X10,X29,X36,X47,X7,X14,X17,X24,X35,X42] :
      ( ~ state(X9,X10,X11,X4,X21,X22,X23,X24,X25,X20,X26,X27,X28,X29,X30,X31,X32,X12,X6,X3,X0,X19,X33,X34,X35,X36,X37,X38,X39,X13,X7,X40,X1,X18,X41,X42,X43,X44,X45,X46,X47,X14,X8,X5,X2,X48,X49,X50,X51,X52,X53,X17,X16,X15)
      | state(X12,X13,X14,X4,X21,X22,X23,X24,X25,X11,X26,X27,X28,X29,X30,X31,X32,X15,X8,X7,X6,X10,X33,X34,X35,X36,X37,X38,X39,X16,X5,X40,X3,X9,X41,X42,X43,X44,X45,X46,X47,X17,X2,X1,X0,X48,X49,X50,X51,X52,X53,X20,X19,X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bzy) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ037-3 : TPTP v8.2.0. Released v2.3.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.43  % Computer : n016.cluster.edu
% 0.15/0.43  % Model    : x86_64 x86_64
% 0.15/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43  % Memory   : 8042.1875MB
% 0.15/0.43  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.43  % CPULimit   : 300
% 0.15/0.43  % WCLimit    : 300
% 0.15/0.43  % DateTime   : Sat May 18 10:18:38 EDT 2024
% 0.15/0.43  % CPUTime    : 
% 0.22/0.44  % (29736)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46  % (29738)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.47  % (29742)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.47  % (29740)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.47  % (29743)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.47  % (29741)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.47  % (29737)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.47  % (29739)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.22/0.48  Detected minimum model sizes of [1]
% 0.22/0.48  Detected maximum model sizes of [6]
% 0.22/0.48  TRYING [1]
% 0.22/0.48  Cannot represent all propositional literals internally
% 0.22/0.48  % (29738)Refutation not found, incomplete strategy% (29738)------------------------------
% 0.22/0.48  % (29738)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.48  % (29738)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.48  
% 0.22/0.48  % (29738)Memory used [KB]: 901
% 0.22/0.48  % (29738)Time elapsed: 0.020 s
% 0.22/0.48  % (29738)Instructions burned: 42 (million)
% 0.22/0.48  % (29738)------------------------------
% 0.22/0.48  % (29738)------------------------------
% 0.22/0.49  Detected minimum model sizes of [1]
% 0.22/0.49  Detected maximum model sizes of [6]
% 0.22/0.49  TRYING [1]
% 0.22/0.49  Cannot represent all propositional literals internally
% 0.22/0.49  % (29743)Refutation not found, incomplete strategy% (29743)------------------------------
% 0.22/0.49  % (29743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.49  % (29743)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49  
% 0.22/0.49  % (29743)Memory used [KB]: 859
% 0.22/0.49  % (29743)Time elapsed: 0.019 s
% 0.22/0.49  % (29743)Instructions burned: 36 (million)
% 0.22/0.49  % (29743)------------------------------
% 0.22/0.49  % (29743)------------------------------
% 0.22/0.49  Detected minimum model sizes of [1]
% 0.22/0.49  Detected maximum model sizes of [6]
% 0.22/0.49  TRYING [1]
% 0.22/0.49  Cannot represent all propositional literals internally
% 0.22/0.49  % (29737)Refutation not found, incomplete strategy% (29737)------------------------------
% 0.22/0.49  % (29737)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.49  % (29737)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49  
% 0.22/0.49  % (29737)Memory used [KB]: 856
% 0.22/0.49  % (29737)Time elapsed: 0.022 s
% 0.22/0.49  % (29737)Instructions burned: 36 (million)
% 0.22/0.49  % (29737)------------------------------
% 0.22/0.49  % (29737)------------------------------
% 0.22/0.49  Detected minimum model sizes of [1]
% 0.22/0.49  Detected maximum model sizes of [6]
% 0.22/0.49  TRYING [1]
% 0.22/0.49  Cannot represent all propositional literals internally
% 0.22/0.49  % (29740)Refutation not found, incomplete strategy% (29740)------------------------------
% 0.22/0.49  % (29740)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.49  % (29740)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49  
% 0.22/0.49  % (29740)Memory used [KB]: 901
% 0.22/0.49  % (29740)Time elapsed: 0.028 s
% 0.22/0.49  % (29740)Instructions burned: 54 (million)
% 0.22/0.49  % (29740)------------------------------
% 0.22/0.49  % (29740)------------------------------
% 0.22/0.50  % (29744)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.50  WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.22/0.50  % (29745)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_476 on theBenchmark for (476ds/0Mi)
% 0.22/0.51  % (29746)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.51  WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.22/0.51  % (29747)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.51  Detected minimum model sizes of [1]
% 0.22/0.51  Detected maximum model sizes of [6]
% 0.22/0.51  TRYING [1]
% 0.22/0.51  Cannot represent all propositional literals internally
% 0.22/0.51  % (29744)Refutation not found, incomplete strategy% (29744)------------------------------
% 0.22/0.51  % (29744)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.51  % (29744)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.51  
% 0.22/0.51  % (29744)Memory used [KB]: 897
% 0.22/0.51  % (29744)Time elapsed: 0.020 s
% 0.22/0.51  % (29744)Instructions burned: 41 (million)
% 0.22/0.51  % (29744)------------------------------
% 0.22/0.51  % (29744)------------------------------
% 0.22/0.53  WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.22/0.53  % (29748)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.53  Detected minimum model sizes of [1]
% 0.22/0.53  Detected maximum model sizes of [6]
% 0.22/0.53  TRYING [1]
% 0.22/0.53  Cannot represent all propositional literals internally
% 0.22/0.53  % (29746)Refutation not found, incomplete strategy% (29746)------------------------------
% 0.22/0.53  % (29746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.53  % (29746)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.53  
% 0.22/0.53  % (29746)Memory used [KB]: 898
% 0.22/0.53  % (29746)Time elapsed: 0.027 s
% 0.22/0.53  % (29746)Instructions burned: 53 (million)
% 0.22/0.53  % (29746)------------------------------
% 0.22/0.53  % (29746)------------------------------
% 130.33/22.15  % (29742)Time limit reached!
% 130.33/22.15  % (29742)------------------------------
% 130.33/22.15  % (29742)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 130.33/22.15  % (29742)Termination reason: Time limit
% 130.33/22.15  % (29742)Termination phase: Saturation
% 130.33/22.15  
% 130.33/22.15  % (29742)Memory used [KB]: 38755
% 130.33/22.15  % (29742)Time elapsed: 21.700 s
% 130.33/22.15  % (29742)Instructions burned: 55064 (million)
% 130.33/22.15  % (29742)------------------------------
% 130.33/22.15  % (29742)------------------------------
% 130.62/22.23  % (29748)Time limit reached!
% 130.62/22.23  % (29748)------------------------------
% 130.62/22.23  % (29748)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 130.62/22.23  % (29748)Termination reason: Time limit
% 130.62/22.23  % (29748)Termination phase: Saturation
% 130.62/22.23  
% 130.62/22.23  % (29748)Memory used [KB]: 37989
% 130.62/22.23  % (29748)Time elapsed: 21.700 s
% 130.62/22.23  % (29748)Instructions burned: 54792 (million)
% 130.62/22.23  % (29748)------------------------------
% 130.62/22.23  % (29748)------------------------------
% 171.32/32.42  % (29741)First to succeed.
% 171.32/32.42  % (29741)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29736"
% 171.52/32.42  % (29741)Refutation found. Thanks to Tanya!
% 171.52/32.42  % SZS status Unsatisfiable for theBenchmark
% 171.52/32.42  % SZS output start Proof for theBenchmark
% See solution above
% 171.52/32.42  % (29741)------------------------------
% 171.52/32.42  % (29741)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 171.52/32.42  % (29741)Termination reason: Refutation
% 171.52/32.42  
% 171.52/32.42  % (29741)Memory used [KB]: 41033
% 171.52/32.42  % (29741)Time elapsed: 31.953 s
% 171.52/32.42  % (29741)Instructions burned: 85421 (million)
% 171.52/32.42  % (29736)Success in time 31.963 s
%------------------------------------------------------------------------------