TSTP Solution File: SYN576-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN576-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.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 : Sun May  5 12:11:34 EDT 2024

% Result   : Unsatisfiable 22.36s 3.53s
% Output   : Refutation 22.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   28 (  13 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   53 (  25   ~;  28   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   56 (  56   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f141445,plain,
    $false,
    inference(subsumption_resolution,[],[f141441,f17]) ).

fof(f17,axiom,
    ~ p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_17) ).

fof(f141441,plain,
    p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)),
    inference(resolution,[],[f141440,f1858]) ).

fof(f1858,plain,
    ! [X2,X3,X0,X1,X4,X5] : p2(f7(f9(X0,X1,f3(X2,X3)),f3(X4,X5)),f7(f9(X0,X1,f3(X3,X2)),f3(X5,X4))),
    inference(resolution,[],[f1842,f90]) ).

fof(f90,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p2(X0,X1)
      | p2(f7(X0,f3(X2,X3)),f7(X1,f3(X3,X2))) ),
    inference(resolution,[],[f19,f8]) ).

fof(f8,axiom,
    ! [X6,X7] : p2(f3(X6,X7),f3(X7,X6)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).

fof(f19,axiom,
    ! [X34,X35,X32,X33] :
      ( ~ p2(X33,X35)
      | ~ p2(X32,X34)
      | p2(f7(X32,X33),f7(X34,X35)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_19) ).

fof(f1842,plain,
    ! [X2,X3,X0,X1] : p2(f9(X0,X1,f3(X2,X3)),f9(X0,X1,f3(X3,X2))),
    inference(resolution,[],[f559,f1]) ).

fof(f1,axiom,
    ! [X0] : p8(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_1) ).

fof(f559,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p8(X0,X1)
      | p2(f9(X2,X0,f3(X3,X4)),f9(X2,X1,f3(X4,X3))) ),
    inference(resolution,[],[f242,f8]) ).

fof(f242,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p2(X2,X3)
      | ~ p8(X0,X1)
      | p2(f9(X4,X0,X2),f9(X4,X1,X3)) ),
    inference(resolution,[],[f20,f3]) ).

fof(f3,axiom,
    ! [X2] : p4(X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_3) ).

fof(f20,axiom,
    ! [X40,X38,X41,X39,X36,X37] :
      ( ~ p4(X36,X39)
      | ~ p8(X37,X40)
      | ~ p2(X38,X41)
      | p2(f9(X36,X37,X38),f9(X39,X40,X41)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).

fof(f141440,plain,
    ! [X0] :
      ( ~ p2(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),X0)
      | p12(X0,f6(c13)) ),
    inference(resolution,[],[f141439,f4]) ).

fof(f4,axiom,
    ! [X3] : p5(X3,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_4) ).

fof(f141439,plain,
    ! [X0,X1] :
      ( ~ p5(f6(c13),X0)
      | ~ p2(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),X1)
      | p12(X1,X0) ),
    inference(resolution,[],[f141430,f16]) ).

fof(f16,axiom,
    ! [X26,X27,X24,X25] :
      ( ~ p12(X26,X27)
      | ~ p5(X27,X25)
      | ~ p2(X26,X24)
      | p12(X24,X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_16) ).

fof(f141430,plain,
    p12(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f6(c13)),
    inference(subsumption_resolution,[],[f141429,f5]) ).

fof(f5,axiom,
    p12(c15,f6(c13)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_5) ).

fof(f141429,plain,
    ( ~ p12(c15,f6(c13))
    | p12(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f6(c13)) ),
    inference(resolution,[],[f2674,f6]) ).

fof(f6,axiom,
    p12(c16,f6(c13)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_6) ).

fof(f2674,plain,
    ! [X0] :
      ( ~ p12(c16,f6(X0))
      | ~ p12(c15,f6(X0))
      | p12(f7(f9(X0,c14,f3(c16,c15)),f3(c16,c15)),f6(X0)) ),
    inference(resolution,[],[f2673,f22]) ).

fof(f22,axiom,
    ! [X44,X42,X43] :
      ( ~ p11(f10(X43),f10(X44))
      | ~ p12(X43,f6(X42))
      | ~ p12(X44,f6(X42))
      | p12(f7(f9(X42,c14,f3(X43,X44)),f3(X43,X44)),f6(X42)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_22) ).

fof(f2673,plain,
    p11(f10(c16),f10(c15)),
    inference(subsumption_resolution,[],[f2668,f17]) ).

fof(f2668,plain,
    ( p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13))
    | p11(f10(c16),f10(c15)) ),
    inference(resolution,[],[f1081,f6]) ).

fof(f1081,plain,
    ! [X0] :
      ( ~ p12(X0,f6(c13))
      | p12(f7(f9(c13,c14,f3(c15,X0)),f3(c15,X0)),f6(c13))
      | p11(f10(X0),f10(c15)) ),
    inference(resolution,[],[f481,f5]) ).

fof(f481,plain,
    ! [X2,X0,X1] :
      ( ~ p12(X0,f6(X1))
      | ~ p12(X2,f6(X1))
      | p12(f7(f9(X1,c14,f3(X0,X2)),f3(X0,X2)),f6(X1))
      | p11(f10(X2),f10(X0)) ),
    inference(resolution,[],[f22,f7]) ).

fof(f7,axiom,
    ! [X4,X5] :
      ( p11(X5,X4)
      | p11(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN576-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 17:08:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (15174)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36  % (15179)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37  % (15175)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (15176)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (15178)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37  % (15177)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)
% 0.15/0.37  % (15180)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37  % (15181)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)
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  Detected minimum model sizes of [1,1,1]
% 0.15/0.37  Detected maximum model sizes of [max,1,1]
% 0.15/0.37  Detected minimum model sizes of [1,1,1]
% 0.15/0.37  Detected maximum model sizes of [max,1,1]
% 0.15/0.37  TRYING [1,1,1]
% 0.15/0.37  TRYING [1,1,1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [2,1,1]
% 0.15/0.37  TRYING [2,1,1]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [3,1,1]
% 0.15/0.38  TRYING [3,1,1]
% 0.15/0.38  TRYING [4]
% 0.15/0.38  TRYING [4,1,1]
% 0.15/0.38  TRYING [4,1,1]
% 0.15/0.38  TRYING [4]
% 0.15/0.39  TRYING [5,1,1]
% 0.15/0.39  TRYING [5,1,1]
% 0.15/0.39  TRYING [5]
% 0.21/0.40  TRYING [5]
% 0.21/0.43  TRYING [6,1,1]
% 0.21/0.43  TRYING [6,1,1]
% 0.21/0.43  TRYING [6]
% 0.21/0.45  TRYING [6]
% 0.21/0.50  TRYING [7,1,1]
% 0.21/0.50  TRYING [7,1,1]
% 0.21/0.52  TRYING [7]
% 0.21/0.54  TRYING [7]
% 1.92/0.63  TRYING [8,1,1]
% 2.10/0.69  TRYING [8]
% 2.70/0.75  TRYING [8,1,1]
% 2.70/0.75  TRYING [8]
% 6.29/1.24  TRYING [9,1,1]
% 6.29/1.26  TRYING [9]
% 6.29/1.27  TRYING [9]
% 6.76/1.33  TRYING [9,1,1]
% 15.79/2.60  TRYING [10,1,1]
% 18.72/3.05  TRYING [10,1,1]
% 20.13/3.28  TRYING [10]
% 20.13/3.28  TRYING [10]
% 22.36/3.52  % (15179)First to succeed.
% 22.36/3.52  % (15179)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15174"
% 22.36/3.53  % (15179)Refutation found. Thanks to Tanya!
% 22.36/3.53  % SZS status Unsatisfiable for theBenchmark
% 22.36/3.53  % SZS output start Proof for theBenchmark
% See solution above
% 22.36/3.53  % (15179)------------------------------
% 22.36/3.53  % (15179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 22.36/3.53  % (15179)Termination reason: Refutation
% 22.36/3.53  
% 22.36/3.53  % (15179)Memory used [KB]: 43826
% 22.36/3.53  % (15179)Time elapsed: 3.159 s
% 22.36/3.53  % (15179)Instructions burned: 12377 (million)
% 22.36/3.53  % (15174)Success in time 3.129 s
%------------------------------------------------------------------------------