TSTP Solution File: SYN573-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN573-1 : 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 : n032.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 0.11s 0.40s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (   9 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   42 (  20   ~;  21   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f338,plain,
    $false,
    inference(avatar_sat_refutation,[],[f96,f337]) ).

fof(f337,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f336]) ).

fof(f336,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f335,f3]) ).

fof(f3,axiom,
    ! [X1] : p2(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).

fof(f335,plain,
    ( ~ p2(c15,c15)
    | spl0_2 ),
    inference(resolution,[],[f334,f149]) ).

fof(f149,plain,
    ( ! [X0] :
        ( p2(f9(c17),X0)
        | ~ p2(c15,X0) )
    | spl0_2 ),
    inference(subsumption_resolution,[],[f140,f54]) ).

fof(f54,plain,
    ( ~ p11(c15,c16)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f53,plain,
    ( spl0_2
  <=> p11(c15,c16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f140,plain,
    ! [X0] :
      ( p11(c15,c16)
      | ~ p2(c15,X0)
      | p2(f9(c17),X0) ),
    inference(resolution,[],[f46,f1]) ).

fof(f1,axiom,
    p12(c15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c15_is_p12_1) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ p12(X0)
      | p11(X0,c16)
      | ~ p2(X0,X1)
      | p2(f9(c17),X1) ),
    inference(resolution,[],[f14,f13]) ).

fof(f13,axiom,
    ! [X1,X19,X20] :
      ( ~ p2(X1,X19)
      | ~ p2(X1,X20)
      | p2(X19,X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).

fof(f14,axiom,
    ! [X21] :
      ( p2(X21,f9(c17))
      | p11(X21,c16)
      | ~ p12(X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_14) ).

fof(f334,plain,
    ~ p2(f9(c17),c15),
    inference(resolution,[],[f192,f19]) ).

fof(f19,axiom,
    ~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_19) ).

fof(f192,plain,
    ! [X2,X0,X1] :
      ( p11(X1,f3(f8(X2),f3(f8(X0),f5(f6(f7(c14))))))
      | ~ p2(X0,X1) ),
    inference(resolution,[],[f76,f3]) ).

fof(f76,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p2(f3(f8(X0),f3(f8(X1),f5(f6(f7(c14))))),X2)
      | ~ p2(X1,X3)
      | p11(X3,X2) ),
    inference(resolution,[],[f17,f16]) ).

fof(f16,axiom,
    ! [X22,X23] : p11(X22,f3(f8(X23),f3(f8(X22),f5(f6(f7(c14)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_16) ).

fof(f17,axiom,
    ! [X26,X27,X24,X25] :
      ( ~ p11(X26,X27)
      | ~ p2(X27,X25)
      | ~ p2(X26,X24)
      | p11(X24,X25) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_17) ).

fof(f96,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f93,f53]) ).

fof(f93,plain,
    ~ p11(c15,c16),
    inference(resolution,[],[f21,f19]) ).

fof(f21,axiom,
    ! [X38,X36,X37] :
      ( p11(X36,f3(f8(X37),f3(f8(X38),f5(f6(f7(c14))))))
      | ~ p11(X36,X37) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_21) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15  % Problem    : SYN573-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.17  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.37  % Computer : n032.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8042.1875MB
% 0.11/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.37  % CPULimit   : 300
% 0.11/0.37  % WCLimit    : 300
% 0.11/0.37  % DateTime   : Fri May  3 17:33:38 EDT 2024
% 0.11/0.37  % CPUTime    : 
% 0.11/0.38  % (3286)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.39  % (3288)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.39  % (3289)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)
% 0.11/0.39  TRYING [1,1,1]
% 0.11/0.39  TRYING [2,1,1]
% 0.11/0.39  TRYING [3,1,1]
% 0.11/0.39  % (3292)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.39  % (3291)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.39  % (3287)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.39  % (3290)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.39  % (3293)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)
% 0.11/0.39  TRYING [1]
% 0.11/0.39  TRYING [2]
% 0.11/0.39  TRYING [1]
% 0.11/0.40  TRYING [1]
% 0.11/0.40  TRYING [2]
% 0.11/0.40  TRYING [2]
% 0.11/0.40  TRYING [3]
% 0.11/0.40  TRYING [3]
% 0.11/0.40  TRYING [3]
% 0.11/0.40  % (3292)First to succeed.
% 0.11/0.40  % (3292)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3286"
% 0.11/0.40  % (3292)Refutation found. Thanks to Tanya!
% 0.11/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.11/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.40  % (3292)------------------------------
% 0.11/0.40  % (3292)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.40  % (3292)Termination reason: Refutation
% 0.11/0.40  
% 0.11/0.40  % (3292)Memory used [KB]: 886
% 0.11/0.40  % (3292)Time elapsed: 0.011 s
% 0.11/0.40  % (3292)Instructions burned: 17 (million)
% 0.11/0.40  % (3286)Success in time 0.015 s
%------------------------------------------------------------------------------