TSTP Solution File: SWV367+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV367+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 : n014.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 18:56:37 EDT 2022

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   23 (  10 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (   9   ~;   0   |;   5   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   24 (  15   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f283,plain,
    $false,
    inference(subsumption_resolution,[],[f279,f216]) ).

fof(f216,plain,
    ! [X0] : ~ contains_pq(create_pq,X0),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] : ~ contains_pq(create_pq,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(f279,plain,
    contains_pq(create_pq,sK3),
    inference(backward_demodulation,[],[f244,f237]) ).

fof(f237,plain,
    ! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,axiom,
    ! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).

fof(f244,plain,
    contains_pq(i(triple(sK2,create_slb,sK1)),sK3),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ( i(remove_cpq(triple(sK2,create_slb,sK1),sK3)) != remove_pq(i(triple(sK2,create_slb,sK1)),sK3)
    & contains_pq(i(triple(sK2,create_slb,sK1)),sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f185,f186]) ).

fof(f186,plain,
    ( ? [X0,X1,X2] :
        ( remove_pq(i(triple(X1,create_slb,X0)),X2) != i(remove_cpq(triple(X1,create_slb,X0),X2))
        & contains_pq(i(triple(X1,create_slb,X0)),X2) )
   => ( i(remove_cpq(triple(sK2,create_slb,sK1),sK3)) != remove_pq(i(triple(sK2,create_slb,sK1)),sK3)
      & contains_pq(i(triple(sK2,create_slb,sK1)),sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f185,plain,
    ? [X0,X1,X2] :
      ( remove_pq(i(triple(X1,create_slb,X0)),X2) != i(remove_cpq(triple(X1,create_slb,X0),X2))
      & contains_pq(i(triple(X1,create_slb,X0)),X2) ),
    inference(rectify,[],[f143]) ).

fof(f143,plain,
    ? [X2,X1,X0] :
      ( remove_pq(i(triple(X1,create_slb,X2)),X0) != i(remove_cpq(triple(X1,create_slb,X2),X0))
      & contains_pq(i(triple(X1,create_slb,X2)),X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,plain,
    ~ ! [X2,X0,X1] :
        ( contains_pq(i(triple(X1,create_slb,X2)),X0)
       => remove_pq(i(triple(X1,create_slb,X2)),X0) = i(remove_cpq(triple(X1,create_slb,X2),X0)) ),
    inference(rectify,[],[f64]) ).

fof(f64,negated_conjecture,
    ~ ! [X2,X0,X1] :
        ( contains_pq(i(triple(X0,create_slb,X1)),X2)
       => i(remove_cpq(triple(X0,create_slb,X1),X2)) = remove_pq(i(triple(X0,create_slb,X1)),X2) ),
    inference(negated_conjecture,[],[f63]) ).

fof(f63,conjecture,
    ! [X2,X0,X1] :
      ( contains_pq(i(triple(X0,create_slb,X1)),X2)
     => i(remove_cpq(triple(X0,create_slb,X1),X2)) = remove_pq(i(triple(X0,create_slb,X1)),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_co) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV367+1 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n014.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % 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   : Tue Aug 30 19:23:18 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (23238)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.50  % (23230)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.50  % (23222)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50  % (23238)First to succeed.
% 0.21/0.51  % (23220)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51  % (23219)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51  % (23238)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Theorem for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (23238)------------------------------
% 0.21/0.51  % (23238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (23238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (23238)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (23238)Memory used [KB]: 1151
% 0.21/0.51  % (23238)Time elapsed: 0.067 s
% 0.21/0.51  % (23238)Instructions burned: 5 (million)
% 0.21/0.51  % (23238)------------------------------
% 0.21/0.51  % (23238)------------------------------
% 0.21/0.51  % (23215)Success in time 0.155 s
%------------------------------------------------------------------------------