TSTP Solution File: NUM602+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM602+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n029.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 18:06:04 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :   45 (  14 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   37 (  13   ~;  10   |;  12   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (  11   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f873,plain,
    $false,
    inference(subsumption_resolution,[],[f867,f750]) ).

fof(f750,plain,
    ~ aElementOf0(xx,xO),
    inference(consistent_polarity_flipping,[],[f456]) ).

fof(f456,plain,
    aElementOf0(xx,xO),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,axiom,
    aElementOf0(xx,xO),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5009) ).

fof(f867,plain,
    aElementOf0(xx,xO),
    inference(resolution,[],[f866,f607]) ).

fof(f607,plain,
    ! [X0] :
      ( ~ aElementOf0(sK12(X0),szNzAzT0)
      | aElementOf0(X0,xO) ),
    inference(consistent_polarity_flipping,[],[f397]) ).

fof(f397,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xO)
      | aElementOf0(sK12(X0),szNzAzT0) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f274,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xO)
      | ( aElementOf0(sK12(X0),szNzAzT0)
        & sdtlpdtrp0(xe,sK12(X0)) = X0
        & aElementOf0(sK12(X0),sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f133,f273]) ).

fof(f273,plain,
    ! [X0] :
      ( ? [X1] :
          ( aElementOf0(X1,szNzAzT0)
          & sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
     => ( aElementOf0(sK12(X0),szNzAzT0)
        & sdtlpdtrp0(xe,sK12(X0)) = X0
        & aElementOf0(sK12(X0),sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xO)
      | ? [X1] :
          ( aElementOf0(X1,szNzAzT0)
          & sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,axiom,
    ! [X0] :
      ( aElementOf0(X0,xO)
     => ? [X1] :
          ( aElementOf0(X1,szNzAzT0)
          & sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).

fof(f866,plain,
    aElementOf0(sK12(xx),szNzAzT0),
    inference(trivial_inequality_removal,[],[f865]) ).

fof(f865,plain,
    ( xx != xx
    | aElementOf0(sK12(xx),szNzAzT0) ),
    inference(superposition,[],[f594,f863]) ).

fof(f863,plain,
    xx = sdtlpdtrp0(xe,sK12(xx)),
    inference(resolution,[],[f672,f750]) ).

fof(f672,plain,
    ! [X0] :
      ( aElementOf0(X0,xO)
      | sdtlpdtrp0(xe,sK12(X0)) = X0 ),
    inference(consistent_polarity_flipping,[],[f396]) ).

fof(f396,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,sK12(X0)) = X0
      | ~ aElementOf0(X0,xO) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f594,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xx
      | aElementOf0(X0,szNzAzT0) ),
    inference(consistent_polarity_flipping,[],[f426]) ).

fof(f426,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | sdtlpdtrp0(xe,X0) != xx ),
    inference(cnf_transformation,[],[f239]) ).

fof(f239,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | sdtlpdtrp0(xe,X0) != xx ),
    inference(ennf_transformation,[],[f100]) ).

fof(f100,negated_conjecture,
    ~ ? [X0] :
        ( aElementOf0(X0,szNzAzT0)
        & sdtlpdtrp0(xe,X0) = xx ),
    inference(negated_conjecture,[],[f99]) ).

fof(f99,conjecture,
    ? [X0] :
      ( aElementOf0(X0,szNzAzT0)
      & sdtlpdtrp0(xe,X0) = xx ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM602+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 07:26:42 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.49  % (5067)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.49  % (5067)Instruction limit reached!
% 0.21/0.49  % (5067)------------------------------
% 0.21/0.49  % (5067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49  % (5067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49  % (5067)Termination reason: Unknown
% 0.21/0.49  % (5067)Termination phase: shuffling
% 0.21/0.49  
% 0.21/0.49  % (5067)Memory used [KB]: 1023
% 0.21/0.49  % (5067)Time elapsed: 0.004 s
% 0.21/0.49  % (5067)Instructions burned: 3 (million)
% 0.21/0.49  % (5067)------------------------------
% 0.21/0.49  % (5067)------------------------------
% 0.21/0.49  % (5079)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)
% 0.21/0.52  % (5063)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (5079)First to succeed.
% 0.21/0.53  % (5079)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Theorem for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (5079)------------------------------
% 0.21/0.53  % (5079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (5079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (5079)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (5079)Memory used [KB]: 1535
% 0.21/0.53  % (5079)Time elapsed: 0.104 s
% 0.21/0.53  % (5079)Instructions burned: 23 (million)
% 0.21/0.53  % (5079)------------------------------
% 0.21/0.53  % (5079)------------------------------
% 0.21/0.53  % (5058)Success in time 0.167 s
%------------------------------------------------------------------------------