TSTP Solution File: PUZ037-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ037-2 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.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 Apr 30 14:45:01 EDT 2024

% Result   : Unsatisfiable 1.81s 0.63s
% Output   : Refutation 1.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   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   :  162 ( 162   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1083,plain,
    $false,
    inference(subsumption_resolution,[],[f984,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/sandbox2/benchmark/theBenchmark.p',make_like_this) ).

fof(f984,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,[],[f11,f557]) ).

fof(f557,plain,
    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(resolution,[],[f9,f25]) ).

fof(f25,plain,
    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(resolution,[],[f4,f2]) ).

fof(f2,axiom,
    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/sandbox2/benchmark/theBenchmark.p',start_with_this) ).

fof(f4,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,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61)
      | state(X4,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X12,X13,X14,X15,X16,X17,X18,X19,X20,X9,X10,X11,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mxy) ).

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/sandbox2/benchmark/theBenchmark.p',lzx) ).

fof(f11,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,X9,X22,X23,X10,X24,X25,X11,X26,X27,X28,X29,X30,X12,X6,X3,X0,X20,X31,X32,X33,X34,X35,X36,X37,X13,X7,X38,X1,X19,X39,X40,X41,X42,X43,X44,X45,X14,X8,X5,X2,X18,X46,X47,X48,X49,X15,X50,X51,X16,X52,X53,X17)
      | state(X4,X21,X12,X22,X23,X13,X24,X25,X14,X26,X27,X28,X29,X30,X15,X8,X7,X6,X11,X31,X32,X33,X34,X35,X36,X37,X16,X5,X38,X3,X10,X39,X40,X41,X42,X43,X44,X45,X17,X2,X1,X0,X9,X46,X47,X48,X49,X18,X50,X51,X19,X52,X53,X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rzx) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : PUZ037-2 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 02:17:40 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  % (14922)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40  % (14926)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)
% 0.15/0.40  % (14925)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.40  % (14929)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.40  % (14927)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.40  % (14928)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.40  % (14924)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.40  % (14930)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)
% 0.15/0.42  Detected minimum model sizes of [1]
% 0.15/0.42  Detected maximum model sizes of [6]
% 0.15/0.42  TRYING [1]
% 0.22/0.42  Cannot represent all propositional literals internally
% 0.22/0.42  % (14925)Refutation not found, incomplete strategy% (14925)------------------------------
% 0.22/0.42  % (14925)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.42  % (14925)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42  
% 0.22/0.42  % (14925)Memory used [KB]: 901
% 0.22/0.42  % (14925)Time elapsed: 0.030 s
% 0.22/0.42  % (14925)Instructions burned: 42 (million)
% 0.22/0.42  % (14925)------------------------------
% 0.22/0.42  % (14925)------------------------------
% 0.22/0.42  Detected minimum model sizes of [1]
% 0.22/0.42  Detected maximum model sizes of [6]
% 0.22/0.42  TRYING [1]
% 0.22/0.43  Cannot represent all propositional literals internally
% 0.22/0.43  % (14930)Refutation not found, incomplete strategy% (14930)------------------------------
% 0.22/0.43  % (14930)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.43  % (14930)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43  
% 0.22/0.43  % (14930)Memory used [KB]: 859
% 0.22/0.43  % (14930)Time elapsed: 0.028 s
% 0.22/0.43  % (14930)Instructions burned: 36 (million)
% 0.22/0.43  % (14930)------------------------------
% 0.22/0.43  % (14930)------------------------------
% 0.22/0.43  Detected minimum model sizes of [1]
% 0.22/0.43  Detected maximum model sizes of [6]
% 0.22/0.43  TRYING [1]
% 0.22/0.43  Cannot represent all propositional literals internally
% 0.22/0.43  % (14924)Refutation not found, incomplete strategy% (14924)------------------------------
% 0.22/0.43  % (14924)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.43  % (14924)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43  
% 0.22/0.43  % (14924)Memory used [KB]: 855
% 0.22/0.43  % (14924)Time elapsed: 0.029 s
% 0.22/0.43  % (14924)Instructions burned: 36 (million)
% 0.22/0.43  % (14924)------------------------------
% 0.22/0.43  % (14924)------------------------------
% 0.22/0.43  Detected minimum model sizes of [1]
% 0.22/0.43  Detected maximum model sizes of [6]
% 0.22/0.43  TRYING [1]
% 0.22/0.43  Cannot represent all propositional literals internally
% 0.22/0.43  % (14927)Refutation not found, incomplete strategy% (14927)------------------------------
% 0.22/0.43  % (14927)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.43  % (14927)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43  
% 0.22/0.43  % (14927)Memory used [KB]: 901
% 0.22/0.43  % (14927)Time elapsed: 0.037 s
% 0.22/0.43  % (14927)Instructions burned: 54 (million)
% 0.22/0.43  % (14927)------------------------------
% 0.22/0.43  % (14927)------------------------------
% 0.22/0.44  WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.22/0.44  % (14943)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)
% 0.22/0.45  % (14945)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)
% 0.22/0.45  WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.22/0.45  % (14949)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)
% 0.22/0.45  % (14942)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)
% 0.22/0.47  Detected minimum model sizes of [1]
% 0.22/0.47  Detected maximum model sizes of [6]
% 0.22/0.47  TRYING [1]
% 0.22/0.47  Cannot represent all propositional literals internally
% 0.22/0.47  % (14942)Refutation not found, incomplete strategy% (14942)------------------------------
% 0.22/0.47  % (14942)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.47  % (14942)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47  
% 0.22/0.47  % (14942)Memory used [KB]: 897
% 0.22/0.47  % (14942)Time elapsed: 0.019 s
% 0.22/0.47  % (14942)Instructions burned: 41 (million)
% 0.22/0.47  % (14942)------------------------------
% 0.22/0.47  % (14942)------------------------------
% 0.22/0.47  Detected minimum model sizes of [1]
% 0.22/0.47  Detected maximum model sizes of [6]
% 0.22/0.47  TRYING [1]
% 0.22/0.47  Cannot represent all propositional literals internally
% 0.22/0.47  % (14945)Refutation not found, incomplete strategy% (14945)------------------------------
% 0.22/0.47  % (14945)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.47  % (14945)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47  
% 0.22/0.47  % (14945)Memory used [KB]: 897
% 0.22/0.47  % (14945)Time elapsed: 0.027 s
% 0.22/0.47  % (14945)Instructions burned: 53 (million)
% 0.22/0.47  % (14945)------------------------------
% 0.22/0.47  % (14945)------------------------------
% 0.22/0.48  WARNING Broken Constraint: if fmb_keep_sbeam_generators(on) has been set then saturation_algorithm(discount) is equal to fmb
% 0.22/0.48  % (14960)dis+11_4:5_nm=4:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_216 on theBenchmark for (216ds/0Mi)
% 1.81/0.63  % (14928)First to succeed.
% 1.81/0.63  % (14928)Refutation found. Thanks to Tanya!
% 1.81/0.63  % SZS status Unsatisfiable for theBenchmark
% 1.81/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 1.81/0.63  % (14928)------------------------------
% 1.81/0.63  % (14928)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.81/0.63  % (14928)Termination reason: Refutation
% 1.81/0.63  
% 1.81/0.63  % (14928)Memory used [KB]: 1436
% 1.81/0.63  % (14928)Time elapsed: 0.236 s
% 1.81/0.63  % (14928)Instructions burned: 526 (million)
% 1.81/0.63  % (14928)------------------------------
% 1.81/0.63  % (14928)------------------------------
% 1.81/0.63  % (14922)Success in time 0.263 s
%------------------------------------------------------------------------------