%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUN067+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n004.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 : Wed Aug 31 18:08:03 EDT 2022

% Result   : Theorem 0.22s 0.53s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   32 (  10 unt;   0 def)
%            Number of atoms       :   70 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   80 (  42   ~;  27   |;  11   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   52 (  45   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f174,plain,
    $false,
    inference(resolution,[],[f166,f109]) ).

fof(f109,plain,
    ! [X0] : r1(X0),
    inference(resolution,[],[f105,f55]) ).

fof(f55,plain,
    ! [X0] : r1(sK6(X0)),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
    ? [X1] :
      ( r1(X1)
      & id(X0,X1) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ~ ? [X0] :
      ! [X1] :
        ( ~ id(X0,X1)
        | ~ r1(X1) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ? [X62] :
      ! [X45] :
        ( ~ r1(X45)
        | ~ id(X62,X45) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ? [X62] :
    ! [X45] :
      ( ~ r1(X45)
      | ~ id(X62,X45) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonzerosexistid) ).

fof(f105,plain,
    ! [X7] :
      ( ~ r1(sK6(X7))
      | r1(X7) ),
    inference(resolution,[],[f46,f88]) ).

fof(f88,plain,
    ! [X1] : id(sK6(X1),X1),
    inference(resolution,[],[f76,f54]) ).

fof(f54,plain,
    ! [X0] : id(X0,sK6(X0)),
    inference(cnf_transformation,[],[f39]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | id(X1,X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( id(X1,X0)
      | ~ id(X0,X1) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X14,X15] :
      ( id(X15,X14)
      | ~ id(X14,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | r1(X1)
      | ~ r1(X0) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X1,X0] :
      ( ( ~ r1(X0)
        & ~ r1(X1) )
      | ( r1(X1)
        & r1(X0) )
      | ~ id(X0,X1) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X19,X20] :
      ( ( r1(X19)
        & r1(X20) )
      | ~ id(X19,X20)
      | ( ~ r1(X20)
        & ~ r1(X19) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f166,plain,
    ~ r1(sK4),
    inference(resolution,[],[f157,f64]) ).

fof(f64,plain,
    ! [X0] : id(X0,X0),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] : id(X0,X0),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X13] : id(X13,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f157,plain,
    ! [X0] :
      ( ~ id(X0,sK4)
      | ~ r1(X0) ),
    inference(resolution,[],[f70,f142]) ).

fof(f142,plain,
    ! [X0] : r2(X0,sK4),
    inference(resolution,[],[f136,f109]) ).

fof(f136,plain,
    ! [X3] :
      ( ~ r1(sK14(X3))
      | r2(X3,sK4) ),
    inference(resolution,[],[f72,f89]) ).

fof(f89,plain,
    ! [X2] :
      ( id(sK4,X2)
      | ~ r1(X2) ),
    inference(resolution,[],[f76,f51]) ).

fof(f51,plain,
    ! [X1] :
      ( id(X1,sK4)
      | ~ r1(X1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( ~ id(X1,X0)
        & ~ r1(X1) )
      | ( r1(X1)
        & id(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f72,plain,
    ! [X2,X0] :
      ( ~ id(X2,sK14(X0))
      | r2(X0,X2) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( id(X2,X1)
        & r2(X0,X2) )
      | ( ~ r2(X0,X2)
        & ~ id(X2,X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2] :
    ? [X3] :
    ! [X4] :
      ( ( ~ id(X4,X3)
        & ~ r2(X2,X4) )
      | ( r2(X2,X4)
        & id(X4,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( ~ r2(X0,X1)
      | ~ r1(X2)
      | ~ id(X2,X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X1,X0] :
      ( ~ r2(X0,X1)
      | ! [X2] :
          ( ~ id(X2,X1)
          | ~ r1(X2) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X64,X65] :
      ( ! [X66] :
          ( ~ id(X66,X65)
          | ~ r1(X66) )
      | ~ r2(X64,X65) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : NUN067+1 : TPTP v8.1.0. Released v7.3.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36  % Computer : n004.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 Aug 30 09:41:04 EDT 2022
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  % (27647)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.51  % (27663)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.22/0.52  % (27655)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.52  % (27647)First to succeed.
% 0.22/0.53  % (27647)Refutation found. Thanks to Tanya!
% 0.22/0.53  % SZS status Theorem for theBenchmark
% 0.22/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53  % (27647)------------------------------
% 0.22/0.53  % (27647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53  % (27647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53  % (27647)Termination reason: Refutation
% 0.22/0.53  
% 0.22/0.53  % (27647)Memory used [KB]: 5500
% 0.22/0.53  % (27647)Time elapsed: 0.107 s
% 0.22/0.53  % (27647)Instructions burned: 4 (million)
% 0.22/0.53  % (27647)------------------------------
% 0.22/0.53  % (27647)------------------------------
% 0.22/0.53  % (27635)Success in time 0.157 s
%------------------------------------------------------------------------------