TSTP Solution File: SYN591-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN591-1 : 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 : n007.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 12:11:37 EDT 2024

% Result   : Unsatisfiable 0.22s 0.40s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   30 (  14 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   49 (  23   ~;  26   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1255,plain,
    $false,
    inference(subsumption_resolution,[],[f1254,f12]) ).

fof(f12,axiom,
    ~ p11(c13,f4(c17,f6(c18))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_12) ).

fof(f1254,plain,
    p11(c13,f4(c17,f6(c18))),
    inference(resolution,[],[f1252,f3]) ).

fof(f3,axiom,
    ! [X0] : p7(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).

fof(f1252,plain,
    ! [X0] :
      ( ~ p7(c13,X0)
      | p11(X0,f4(c17,f6(c18))) ),
    inference(resolution,[],[f1251,f333]) ).

fof(f333,plain,
    ! [X0] : p3(f4(X0,f5(c18)),f4(X0,f6(c18))),
    inference(resolution,[],[f302,f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ p3(X0,X1)
      | p3(X1,X0) ),
    inference(resolution,[],[f21,f5]) ).

fof(f5,axiom,
    ! [X2] : p3(X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).

fof(f21,axiom,
    ! [X2,X18,X17] :
      ( ~ p3(X2,X18)
      | ~ p3(X2,X17)
      | p3(X17,X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_21) ).

fof(f302,plain,
    ! [X0] : p3(f4(X0,f6(c18)),f4(X0,f5(c18))),
    inference(resolution,[],[f229,f4]) ).

fof(f4,axiom,
    ! [X1] : p2(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

fof(f229,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p3(f4(X0,f6(c18)),f4(X1,f5(c18))) ),
    inference(resolution,[],[f26,f41]) ).

fof(f41,plain,
    p2(f6(c18),f5(c18)),
    inference(resolution,[],[f22,f11]) ).

fof(f11,axiom,
    p12(c14,f4(c18,c17)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_11) ).

fof(f22,axiom,
    ! [X19] :
      ( ~ p12(c14,f4(X19,c17))
      | p2(f6(X19),f5(X19)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_22) ).

fof(f26,axiom,
    ! [X34,X35,X32,X33] :
      ( ~ p2(X33,X35)
      | ~ p2(X32,X34)
      | p3(f4(X32,X33),f4(X34,X35)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_26) ).

fof(f1251,plain,
    ! [X0,X1] :
      ( ~ p3(f4(c17,f5(c18)),X0)
      | ~ p7(c13,X1)
      | p11(X1,X0) ),
    inference(resolution,[],[f1250,f25]) ).

fof(f25,axiom,
    ! [X31,X28,X29,X30] :
      ( ~ p11(X31,X30)
      | ~ p3(X30,X29)
      | ~ p7(X31,X28)
      | p11(X28,X29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_25) ).

fof(f1250,plain,
    p11(c13,f4(c17,f5(c18))),
    inference(subsumption_resolution,[],[f1249,f13]) ).

fof(f13,axiom,
    ~ p11(c13,f4(f6(c18),c17)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_13) ).

fof(f1249,plain,
    ( p11(c13,f4(c17,f5(c18)))
    | p11(c13,f4(f6(c18),c17)) ),
    inference(resolution,[],[f451,f3]) ).

fof(f451,plain,
    ! [X0] :
      ( ~ p7(c13,X0)
      | p11(c13,f4(c17,f5(c18)))
      | p11(X0,f4(f6(c18),c17)) ),
    inference(resolution,[],[f377,f275]) ).

fof(f275,plain,
    ! [X0] : p3(f4(f5(c18),X0),f4(f6(c18),X0)),
    inference(resolution,[],[f228,f42]) ).

fof(f42,plain,
    p2(f5(c18),f6(c18)),
    inference(resolution,[],[f41,f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f20,f4]) ).

fof(f20,axiom,
    ! [X1,X16,X15] :
      ( ~ p2(X1,X16)
      | ~ p2(X1,X15)
      | p2(X15,X16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).

fof(f228,plain,
    ! [X2,X0,X1] :
      ( ~ p2(X0,X1)
      | p3(f4(X0,X2),f4(X1,X2)) ),
    inference(resolution,[],[f26,f4]) ).

fof(f377,plain,
    ! [X0,X1] :
      ( ~ p3(f4(f5(c18),c17),X0)
      | p11(c13,f4(c17,f5(c18)))
      | ~ p7(c13,X1)
      | p11(X1,X0) ),
    inference(resolution,[],[f376,f25]) ).

fof(f376,plain,
    ( p11(c13,f4(f5(c18),c17))
    | p11(c13,f4(c17,f5(c18))) ),
    inference(resolution,[],[f27,f11]) ).

fof(f27,axiom,
    ! [X36] :
      ( ~ p12(c14,f4(X36,c17))
      | p11(c13,f4(c17,f5(X36)))
      | p11(c13,f4(f5(X36),c17)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_27) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN591-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n007.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   : Fri May  3 17:29:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (17394)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (17395)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (17396)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (17398)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (17397)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)
% 0.15/0.38  % (17400)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (17399)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (17401)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)
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [2]
% 0.22/0.38  Detected minimum model sizes of [1,1,1,1]
% 0.22/0.38  Detected maximum model sizes of [2,max,max,max]
% 0.22/0.38  Detected minimum model sizes of [1,1,1,1]
% 0.22/0.38  Detected maximum model sizes of [2,max,max,max]
% 0.22/0.38  TRYING [1,1,1,1]
% 0.22/0.38  TRYING [1,1,1,1]
% 0.22/0.38  TRYING [2]
% 0.22/0.38  TRYING [1,2,1,1]
% 0.22/0.38  TRYING [1,2,1,1]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [2,2,1,1]
% 0.22/0.39  TRYING [2,2,1,1]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [1,3,1,1]
% 0.22/0.39  TRYING [1,3,1,1]
% 0.22/0.39  TRYING [4]
% 0.22/0.39  TRYING [2,3,1,1]
% 0.22/0.39  TRYING [2,3,1,1]
% 0.22/0.39  TRYING [4]
% 0.22/0.39  TRYING [1,4,1,1]
% 0.22/0.39  TRYING [1,4,1,1]
% 0.22/0.40  % (17399)First to succeed.
% 0.22/0.40  % (17399)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17394"
% 0.22/0.40  % (17399)Refutation found. Thanks to Tanya!
% 0.22/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40  % (17399)------------------------------
% 0.22/0.40  % (17399)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.40  % (17399)Termination reason: Refutation
% 0.22/0.40  
% 0.22/0.40  % (17399)Memory used [KB]: 1139
% 0.22/0.40  % (17399)Time elapsed: 0.022 s
% 0.22/0.40  % (17399)Instructions burned: 42 (million)
% 0.22/0.40  % (17394)Success in time 0.039 s
%------------------------------------------------------------------------------