TSTP Solution File: SWV133+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV133+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue May 21 06:12:09 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  14 unt;   0 def)
%            Number of atoms       :   70 (   5 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :   64 (  18   ~;   4   |;  38   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   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   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f480,plain,
    $false,
    inference(resolution,[],[f479,f250]) ).

fof(f250,plain,
    leq(n2,pv1325),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ( ~ leq(n0,pv1325)
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
    & leq(pv1325,n3)
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n2,pv1325)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & ~ leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7)) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ( ~ leq(n0,pv1325)
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
    & leq(pv1325,n3)
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n2,pv1325)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & ~ leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7)) ),
    inference(ennf_transformation,[],[f54]) ).

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

fof(f53,conjecture,
    ( ( leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
      & leq(pv1325,n3)
      & leq(s_worst7,n3)
      & leq(s_sworst7,n3)
      & leq(s_best7,n3)
      & leq(n2,pv1325)
      & leq(n0,s_worst7)
      & leq(n0,s_sworst7)
      & leq(n0,s_best7)
      & ~ leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7)) )
   => leq(n0,pv1325) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0003) ).

fof(f479,plain,
    ~ leq(n2,pv1325),
    inference(forward_demodulation,[],[f478,f411]) ).

fof(f411,plain,
    n2 = succ(n1),
    inference(forward_demodulation,[],[f281,f279]) ).

fof(f279,plain,
    n1 = succ(n0),
    inference(cnf_transformation,[],[f84]) ).

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

fof(f281,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) ).

fof(f478,plain,
    ~ leq(succ(n1),pv1325),
    inference(resolution,[],[f477,f314]) ).

fof(f314,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ leq(succ(X0),X1) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ leq(succ(X0),X1) ),
    inference(ennf_transformation,[],[f43]) ).

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

fof(f477,plain,
    ~ gt(pv1325,n1),
    inference(resolution,[],[f476,f310]) ).

fof(f310,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ gt(X1,X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ gt(X1,X0) ),
    inference(ennf_transformation,[],[f8]) ).

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

fof(f476,plain,
    ~ leq(n1,pv1325),
    inference(forward_demodulation,[],[f474,f279]) ).

fof(f474,plain,
    ~ leq(succ(n0),pv1325),
    inference(resolution,[],[f314,f452]) ).

fof(f452,plain,
    ~ gt(pv1325,n0),
    inference(resolution,[],[f310,f256]) ).

fof(f256,plain,
    ~ leq(n0,pv1325),
    inference(cnf_transformation,[],[f109]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV133+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n002.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
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 07:21:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (13497)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (13502)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37  % (13498)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (13499)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (13501)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (13504)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37  % (13503)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38  % (13500)WARNING: value z3 for option sas not known
% 0.14/0.38  % (13500)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (13503)First to succeed.
% 0.14/0.38  % (13503)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13497"
% 0.14/0.38  % (13503)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (13503)------------------------------
% 0.14/0.38  % (13503)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (13503)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (13503)Memory used [KB]: 1152
% 0.14/0.38  % (13503)Time elapsed: 0.010 s
% 0.14/0.38  % (13503)Instructions burned: 18 (million)
% 0.14/0.38  % (13497)Success in time 0.034 s
%------------------------------------------------------------------------------