TSTP Solution File: SWV137+1 by SnakeForV---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV137+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n023.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 18:44:18 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  12 unt;   0 def)
%            Number of atoms       :   76 (   5 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :   61 (  11   ~;   7   |;  38   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f235,plain,
    $false,
    inference(subsumption_resolution,[],[f234,f117]) ).

fof(f117,plain,
    ~ leq(n0,pv1325),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ( leq(s_worst7,n3)
    & leq(s_best7,n3)
    & leq(n0,s_best7)
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n2,pv1325)
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
    & leq(s_sworst7,n3)
    & leq(pv1325,n3)
    & ~ leq(n0,pv1325) ),
    inference(flattening,[],[f103]) ).

fof(f103,plain,
    ( ~ leq(n0,pv1325)
    & leq(n0,s_sworst7)
    & leq(pv1325,n3)
    & leq(n2,pv1325)
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
    & leq(s_best7,n3)
    & leq(n0,s_worst7)
    & leq(s_worst7,n3)
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
    & leq(n0,s_best7)
    & leq(s_sworst7,n3) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(n0,s_sworst7)
        & leq(pv1325,n3)
        & leq(n2,pv1325)
        & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
        & leq(s_best7,n3)
        & leq(n0,s_worst7)
        & leq(s_worst7,n3)
        & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
        & leq(n0,s_best7)
        & leq(s_sworst7,n3) )
     => leq(n0,pv1325) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(n0,s_sworst7)
      & leq(pv1325,n3)
      & leq(n2,pv1325)
      & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
      & leq(s_best7,n3)
      & leq(n0,s_worst7)
      & leq(s_worst7,n3)
      & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
      & leq(n0,s_best7)
      & leq(s_sworst7,n3) )
   => leq(n0,pv1325) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0007) ).

fof(f234,plain,
    leq(n0,pv1325),
    inference(resolution,[],[f233,f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
      | leq(X1,X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | ~ gt(X0,X1) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X1,X0] :
      ( gt(X0,X1)
     => leq(X1,X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X1,X0] :
      ( gt(X1,X0)
     => leq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).

fof(f233,plain,
    gt(pv1325,n0),
    inference(resolution,[],[f232,f198]) ).

fof(f198,plain,
    ! [X0] :
      ( ~ leq(n1,X0)
      | gt(X0,n0) ),
    inference(superposition,[],[f133,f138]) ).

fof(f138,plain,
    n1 = succ(n0),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,axiom,
    n1 = succ(n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ leq(succ(X1),X0)
      | gt(X0,X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ~ leq(succ(X1),X0)
      | gt(X0,X1) ),
    inference(rectify,[],[f100]) ).

fof(f100,plain,
    ! [X1,X0] :
      ( ~ leq(succ(X0),X1)
      | gt(X1,X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X1,X0] :
      ( leq(succ(X0),X1)
     => gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt) ).

fof(f232,plain,
    leq(n1,pv1325),
    inference(resolution,[],[f229,f143]) ).

fof(f229,plain,
    gt(pv1325,n1),
    inference(resolution,[],[f199,f121]) ).

fof(f121,plain,
    leq(n2,pv1325),
    inference(cnf_transformation,[],[f104]) ).

fof(f199,plain,
    ! [X1] :
      ( ~ leq(n2,X1)
      | gt(X1,n1) ),
    inference(superposition,[],[f133,f156]) ).

fof(f156,plain,
    n2 = succ(n1),
    inference(forward_demodulation,[],[f153,f138]) ).

fof(f153,plain,
    n2 = succ(succ(n0)),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,axiom,
    n2 = succ(succ(n0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV137+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:24:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (23627)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49  % (23630)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)
% 0.20/0.50  % (23653)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.50  % (23627)Refutation not found, incomplete strategy% (23627)------------------------------
% 0.20/0.50  % (23627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (23627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (23627)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (23627)Memory used [KB]: 6140
% 0.20/0.50  % (23627)Time elapsed: 0.105 s
% 0.20/0.50  % (23627)Instructions burned: 9 (million)
% 0.20/0.50  % (23627)------------------------------
% 0.20/0.50  % (23627)------------------------------
% 0.20/0.50  % (23638)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50  % (23630)First to succeed.
% 0.20/0.50  % (23638)Instruction limit reached!
% 0.20/0.50  % (23638)------------------------------
% 0.20/0.50  % (23638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (23630)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (23630)------------------------------
% 0.20/0.51  % (23630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (23630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (23630)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (23630)Memory used [KB]: 6012
% 0.20/0.51  % (23630)Time elapsed: 0.093 s
% 0.20/0.51  % (23630)Instructions burned: 6 (million)
% 0.20/0.51  % (23630)------------------------------
% 0.20/0.51  % (23630)------------------------------
% 0.20/0.51  % (23623)Success in time 0.157 s
%------------------------------------------------------------------------------