%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV397+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 18:56:43 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   29 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (   8   ~;   2   |;   1   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-3 aty)
%            Number of variables   :   38 (  34   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f304,plain,
    $false,
    inference(resolution,[],[f294,f160]) ).

fof(f160,plain,
    ok(sF5),
    inference(definition_folding,[],[f133,f159,f158]) ).

fof(f158,plain,
    sF4 = triple(sK3,sK2,sK1),
    introduced(function_definition,[]) ).

fof(f159,plain,
    sF5 = remove_cpq(sF4,sK0),
    introduced(function_definition,[]) ).

fof(f133,plain,
    ok(remove_cpq(triple(sK3,sK2,sK1),sK0)),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ? [X1,X3,X0,X2] :
      ( ~ contains_slb(X0,X1)
      & ok(remove_cpq(triple(X2,X0,X3),X1)) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ~ ! [X1,X0,X2,X3] :
        ( ok(remove_cpq(triple(X2,X0,X3),X1))
       => contains_slb(X0,X1) ),
    inference(rectify,[],[f43]) ).

fof(f43,negated_conjecture,
    ~ ! [X1,X3,X0,X2] :
        ( ok(remove_cpq(triple(X0,X1,X2),X3))
       => contains_slb(X1,X3) ),
    inference(negated_conjecture,[],[f42]) ).

fof(f42,conjecture,
    ! [X1,X3,X0,X2] :
      ( ok(remove_cpq(triple(X0,X1,X2),X3))
     => contains_slb(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l33_co) ).

fof(f294,plain,
    ~ ok(sF5),
    inference(superposition,[],[f150,f287]) ).

fof(f287,plain,
    sF5 = triple(sK3,sK2,bad),
    inference(forward_demodulation,[],[f284,f159]) ).

fof(f284,plain,
    triple(sK3,sK2,bad) = remove_cpq(sF4,sK0),
    inference(superposition,[],[f280,f158]) ).

fof(f280,plain,
    ! [X0,X1] : remove_cpq(triple(X0,sK2,X1),sK0) = triple(X0,sK2,bad),
    inference(resolution,[],[f102,f134]) ).

fof(f134,plain,
    ~ contains_slb(sK2,sK0),
    inference(cnf_transformation,[],[f84]) ).

fof(f102,plain,
    ! [X2,X3,X0,X1] :
      ( contains_slb(X0,X3)
      | triple(X1,X0,bad) = remove_cpq(triple(X1,X0,X2),X3) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X3,X2,X1,X0] :
      ( triple(X1,X0,bad) = remove_cpq(triple(X1,X0,X2),X3)
      | contains_slb(X0,X3) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X2,X0,X1,X3] :
      ( ~ contains_slb(X0,X3)
     => triple(X1,X0,bad) = remove_cpq(triple(X1,X0,X2),X3) ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X1,X0,X2,X3] :
      ( ~ contains_slb(X1,X3)
     => triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).

fof(f150,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( $false
    <=> ok(triple(X0,X1,bad)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV397+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % 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 : n014.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 19:23:03 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (22609)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50  % (22613)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)
% 0.20/0.50  % (22602)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)
% 0.20/0.50  % (22605)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)
% 0.20/0.51  % (22602)First to succeed.
% 0.20/0.51  % (22597)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)
% 0.20/0.51  % (22599)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (22617)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)
% 0.20/0.51  % (22601)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (22598)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  % (22596)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51  % (22600)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (22613)Also succeeded, but the first one will report.
% 0.20/0.52  % (22602)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  % (22602)------------------------------
% 0.20/0.52  % (22602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (22602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (22602)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (22602)Memory used [KB]: 5628
% 0.20/0.52  % (22602)Time elapsed: 0.101 s
% 0.20/0.52  % (22602)Instructions burned: 9 (million)
% 0.20/0.52  % (22602)------------------------------
% 0.20/0.52  % (22602)------------------------------
% 0.20/0.52  % (22590)Success in time 0.162 s
%------------------------------------------------------------------------------