TSTP Solution File: SWV386+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV386+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n005.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 18:56:41 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   4 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   46 (  23   ~;   6   |;  10   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   42 (  32   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f233,plain,
    $false,
    inference(subsumption_resolution,[],[f232,f199]) ).

fof(f199,plain,
    ~ check_cpq(triple(sK2,sK1,sK0)),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ( ~ check_cpq(triple(sK2,sK1,sK0))
    & check_cpq(insert_cpq(triple(sK2,sK1,sK0),sK3))
    & ok(insert_cpq(triple(sK2,sK1,sK0),sK3)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f96,f146,f145]) ).

fof(f145,plain,
    ( ? [X0,X1,X2] :
        ( ~ check_cpq(triple(X2,X1,X0))
        & ? [X3] :
            ( check_cpq(insert_cpq(triple(X2,X1,X0),X3))
            & ok(insert_cpq(triple(X2,X1,X0),X3)) ) )
   => ( ~ check_cpq(triple(sK2,sK1,sK0))
      & ? [X3] :
          ( check_cpq(insert_cpq(triple(sK2,sK1,sK0),X3))
          & ok(insert_cpq(triple(sK2,sK1,sK0),X3)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ( ? [X3] :
        ( check_cpq(insert_cpq(triple(sK2,sK1,sK0),X3))
        & ok(insert_cpq(triple(sK2,sK1,sK0),X3)) )
   => ( check_cpq(insert_cpq(triple(sK2,sK1,sK0),sK3))
      & ok(insert_cpq(triple(sK2,sK1,sK0),sK3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f96,plain,
    ? [X0,X1,X2] :
      ( ~ check_cpq(triple(X2,X1,X0))
      & ? [X3] :
          ( check_cpq(insert_cpq(triple(X2,X1,X0),X3))
          & ok(insert_cpq(triple(X2,X1,X0),X3)) ) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,plain,
    ~ ! [X0,X1,X2] :
        ( ~ check_cpq(triple(X2,X1,X0))
       => ! [X3] :
            ( ~ check_cpq(insert_cpq(triple(X2,X1,X0),X3))
            | ~ ok(insert_cpq(triple(X2,X1,X0),X3)) ) ),
    inference(rectify,[],[f44]) ).

fof(f44,negated_conjecture,
    ~ ! [X2,X1,X0] :
        ( ~ check_cpq(triple(X0,X1,X2))
       => ! [X3] :
            ( ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3))
            | ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ) ),
    inference(negated_conjecture,[],[f43]) ).

fof(f43,conjecture,
    ! [X2,X1,X0] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ! [X3] :
          ( ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3))
          | ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l22_co) ).

fof(f232,plain,
    check_cpq(triple(sK2,sK1,sK0)),
    inference(resolution,[],[f171,f198]) ).

fof(f198,plain,
    check_cpq(insert_cpq(triple(sK2,sK1,sK0),sK3)),
    inference(cnf_transformation,[],[f147]) ).

fof(f171,plain,
    ! [X2,X3,X0,X1] :
      ( ~ check_cpq(insert_cpq(triple(X0,X2,X1),X3))
      | check_cpq(triple(X0,X2,X1)) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ check_cpq(insert_cpq(triple(X0,X2,X1),X3))
      | check_cpq(triple(X0,X2,X1)) ),
    inference(rectify,[],[f95]) ).

fof(f95,plain,
    ! [X2,X1,X0] :
      ( ! [X3] : ~ check_cpq(insert_cpq(triple(X2,X0,X1),X3))
      | check_cpq(triple(X2,X0,X1)) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( ~ check_cpq(triple(X2,X0,X1))
     => ! [X3] : ~ check_cpq(insert_cpq(triple(X2,X0,X1),X3)) ),
    inference(rectify,[],[f42]) ).

fof(f42,axiom,
    ! [X1,X2,X0] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ! [X3] : ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l22_l26) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWV386+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % 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 : n005.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 19:21:18 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (3903)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51  % (3889)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (3892)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (3893)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)
% 0.20/0.52  % (3890)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (3890)Instruction limit reached!
% 0.20/0.52  % (3890)------------------------------
% 0.20/0.52  % (3890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (3890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (3890)Termination reason: Unknown
% 0.20/0.52  % (3890)Termination phase: Preprocessing 1
% 0.20/0.52  
% 0.20/0.52  % (3890)Memory used [KB]: 895
% 0.20/0.52  % (3890)Time elapsed: 0.002 s
% 0.20/0.52  % (3890)Instructions burned: 2 (million)
% 0.20/0.52  % (3890)------------------------------
% 0.20/0.52  % (3890)------------------------------
% 0.20/0.52  % (3903)First to succeed.
% 0.20/0.52  % (3909)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)
% 0.20/0.52  % (3903)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (3903)------------------------------
% 0.20/0.52  % (3903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (3903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (3903)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (3903)Memory used [KB]: 5628
% 0.20/0.52  % (3903)Time elapsed: 0.101 s
% 0.20/0.52  % (3903)Instructions burned: 6 (million)
% 0.20/0.52  % (3903)------------------------------
% 0.20/0.52  % (3903)------------------------------
% 0.20/0.52  % (3881)Success in time 0.167 s
%------------------------------------------------------------------------------