%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM837+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n002.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 18:02:31 EDT 2022

% Result   : Theorem 0.17s 0.51s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   8 unt;   0 def)
%            Number of atoms       :   30 (  16 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   27 (  13   ~;   8   |;   3   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   27 (  20   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f117,plain,
    $false,
    inference(subsumption_resolution,[],[f116,f62]) ).

fof(f62,plain,
    less(vd268,vd269),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    less(vd268,vd269),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(170), 270, 0)') ).

fof(f116,plain,
    ~ less(vd268,vd269),
    inference(equality_resolution,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( vd269 != X0
      | ~ less(vd268,X0) ),
    inference(superposition,[],[f61,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( vplus(X1,sK0(X0,X1)) = X0
      | ~ less(X1,X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ( vplus(X1,sK0(X0,X1)) = X0
        | ~ less(X1,X0) )
      & ( less(X1,X0)
        | ! [X3] : vplus(X1,X3) != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f49,f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ? [X2] : vplus(X1,X2) = X0
     => vplus(X1,sK0(X0,X1)) = X0 ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ( ? [X2] : vplus(X1,X2) = X0
        | ~ less(X1,X0) )
      & ( less(X1,X0)
        | ! [X3] : vplus(X1,X3) != X0 ) ),
    inference(rectify,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ( ? [X2] : vplus(X1,X2) = X0
        | ~ less(X1,X0) )
      & ( less(X1,X0)
        | ! [X2] : vplus(X1,X2) != X0 ) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ? [X2] : vplus(X1,X2) = X0
    <=> less(X1,X0) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X15,X16] :
      ( ? [X17] : vplus(X16,X17) = X15
    <=> less(X16,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).

fof(f61,plain,
    ! [X0] : vd269 != vplus(vd268,X0),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] : vd269 != vplus(vd268,X0),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] : vd269 = vplus(vd268,X0),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] : vd269 = vplus(vd268,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(171)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : NUM837+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n002.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 09:12:28 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.17/0.50  % (29484)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.17/0.50  % (29484)First to succeed.
% 0.17/0.51  % (29500)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.17/0.51  % (29501)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.17/0.51  % (29484)Refutation found. Thanks to Tanya!
% 0.17/0.51  % SZS status Theorem for theBenchmark
% 0.17/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51  % (29484)------------------------------
% 0.17/0.51  % (29484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51  % (29484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51  % (29484)Termination reason: Refutation
% 0.17/0.51  
% 0.17/0.51  % (29484)Memory used [KB]: 6012
% 0.17/0.51  % (29484)Time elapsed: 0.118 s
% 0.17/0.51  % (29484)Instructions burned: 4 (million)
% 0.17/0.51  % (29484)------------------------------
% 0.17/0.51  % (29484)------------------------------
% 0.17/0.51  % (29477)Success in time 0.18 s
%------------------------------------------------------------------------------