TSTP Solution File: SYN571-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN571-1 : 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 : n006.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 12:11:33 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   9 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  12   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f107,plain,
    $false,
    inference(resolution,[],[f104,f6]) ).

fof(f6,axiom,
    ! [X6] : ~ p11(X6,f3(X6,f5(f6(f7(c12))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_6) ).

fof(f104,plain,
    ! [X0] : p11(c14,f3(c14,f5(X0))),
    inference(resolution,[],[f102,f7]) ).

fof(f7,axiom,
    ! [X7] :
      ( ~ p11(f5(f10(X7)),X7)
      | p11(c14,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).

fof(f102,plain,
    ! [X0,X1] : p11(f5(X0),f3(c14,f5(X1))),
    inference(resolution,[],[f99,f15]) ).

fof(f15,axiom,
    ! [X24,X22,X23] :
      ( ~ p11(f9(X22,X24),X23)
      | p11(X22,f3(X23,X24)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_15) ).

fof(f99,plain,
    ! [X0,X1] : p11(f9(f5(X0),f5(X1)),c14),
    inference(resolution,[],[f98,f38]) ).

fof(f38,plain,
    ! [X0,X1] : p2(f5(f8(X0,X1)),f9(f5(X0),f5(X1))),
    inference(resolution,[],[f14,f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f12,f2]) ).

fof(f2,axiom,
    ! [X1] : p2(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).

fof(f12,axiom,
    ! [X1,X16,X17] :
      ( ~ p2(X1,X17)
      | ~ p2(X1,X16)
      | p2(X16,X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

fof(f14,axiom,
    ! [X21,X20] : p2(f9(f5(X20),f5(X21)),f5(f8(X20,X21))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ p2(f5(X0),X1)
      | p11(X1,c14) ),
    inference(resolution,[],[f82,f2]) ).

fof(f82,plain,
    ! [X2,X0,X1] :
      ( ~ p2(c14,X0)
      | ~ p2(f5(X1),X2)
      | p11(X2,X0) ),
    inference(resolution,[],[f17,f3]) ).

fof(f3,axiom,
    ! [X2] : p11(f5(X2),c14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_3) ).

fof(f17,axiom,
    ! [X28,X26,X27,X25] :
      ( ~ p11(X27,X28)
      | ~ p2(X28,X26)
      | ~ p2(X27,X25)
      | p11(X25,X26) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_17) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SYN571-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 17:26:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (26927)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (26930)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (26931)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (26933)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (26932)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)
% 0.14/0.37  % (26936)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)
% 0.14/0.37  % (26934)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (26935)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [1,1]
% 0.14/0.37  TRYING [1,1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [2,1]
% 0.14/0.37  TRYING [2,1]
% 0.14/0.37  % (26934)First to succeed.
% 0.14/0.37  TRYING [3]
% 0.14/0.37  % (26934)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26927"
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [3,1]
% 0.14/0.38  TRYING [3,1]
% 0.14/0.38  % (26934)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (26934)------------------------------
% 0.14/0.38  % (26934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (26934)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (26934)Memory used [KB]: 828
% 0.14/0.38  % (26934)Time elapsed: 0.006 s
% 0.14/0.38  % (26934)Instructions burned: 6 (million)
% 0.14/0.38  % (26927)Success in time 0.022 s
%------------------------------------------------------------------------------