TSTP Solution File: NUM756_8 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM756_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n032.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 01:45:37 EDT 2024

% Result   : Theorem 0.47s 0.65s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   41 (  11 unt;   8 typ;   0 def)
%            Number of atoms       :   80 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   97 (  50   ~;  20   |;   4   &)
%                                         (   0 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    8 (   4   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   53 (  53   !;   0   ?;  53   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    frac: $tType ).

tff(func_def_0,type,
    x: frac ).

tff(func_def_1,type,
    y: frac ).

tff(func_def_2,type,
    z: frac ).

tff(func_def_3,type,
    pf: ( frac * frac ) > frac ).

tff(pred_def_1,type,
    eq: ( frac * frac ) > $o ).

tff(pred_def_2,type,
    lessf: ( frac * frac ) > $o ).

tff(pred_def_3,type,
    moref: ( frac * frac ) > $o ).

tff(f46,plain,
    $false,
    inference(resolution,[],[f43,f26]) ).

tff(f26,plain,
    eq(pf(x,z),pf(y,z)),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    eq(pf(x,z),pf(y,z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e) ).

tff(f43,plain,
    ! [X0: frac] : ~ eq(pf(x,X0),pf(y,X0)),
    inference(resolution,[],[f38,f28]) ).

tff(f28,plain,
    ! [X0: frac,X1: frac] :
      ( ~ moref(X0,X1)
      | ~ eq(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    ! [X0: frac,X1: frac] :
      ( ( ~ eq(X0,X1)
        | ~ lessf(X0,X1) )
      & ( ~ lessf(X0,X1)
        | ~ moref(X0,X1) )
      & ( ~ moref(X0,X1)
        | ~ eq(X0,X1) ) ),
    inference(flattening,[],[f21]) ).

tff(f21,plain,
    ! [X0: frac,X1: frac] :
      ( ( ~ eq(X0,X1)
        | ~ lessf(X0,X1) )
      & ( ~ lessf(X0,X1)
        | ~ moref(X0,X1) )
      & ( ~ moref(X0,X1)
        | ~ eq(X0,X1) ) ),
    inference(ennf_transformation,[],[f16]) ).

tff(f16,plain,
    ! [X0: frac,X1: frac] :
      ~ ( ( eq(X0,X1)
         => ~ moref(X0,X1) )
       => ( ( moref(X0,X1)
           => ~ lessf(X0,X1) )
         => ~ ( lessf(X0,X1)
             => ~ eq(X0,X1) ) ) ),
    inference(flattening,[],[f15]) ).

tff(f15,plain,
    ! [X0: frac,X1: frac] :
      ~ ( ( eq(X0,X1)
         => ~ moref(X0,X1) )
       => ~ ~ ( ( moref(X0,X1)
               => ~ lessf(X0,X1) )
             => ~ ( lessf(X0,X1)
                 => ~ eq(X0,X1) ) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X1: frac,X2: frac] :
      ~ ( ( eq(X1,X2)
         => ~ moref(X1,X2) )
       => ~ ~ ( ( moref(X1,X2)
               => ~ lessf(X1,X2) )
             => ~ ( lessf(X1,X2)
                 => ~ eq(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz41b) ).

tff(f38,plain,
    ! [X0: frac] : moref(pf(x,X0),pf(y,X0)),
    inference(resolution,[],[f37,f31]) ).

tff(f31,plain,
    ! [X2: frac,X0: frac,X1: frac] :
      ( ~ moref(X0,X1)
      | moref(pf(X0,X2),pf(X1,X2)) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( moref(pf(X0,X2),pf(X1,X2))
      | ~ moref(X0,X1) ),
    inference(ennf_transformation,[],[f17]) ).

tff(f17,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( moref(X0,X1)
     => moref(pf(X0,X2),pf(X1,X2)) ),
    inference(rectify,[],[f6]) ).

tff(f6,axiom,
    ! [X1: frac,X2: frac,X3: frac] :
      ( moref(X1,X2)
     => moref(pf(X1,X3),pf(X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz62a) ).

tff(f37,plain,
    moref(x,y),
    inference(subsumption_resolution,[],[f36,f25]) ).

tff(f25,plain,
    ~ eq(x,y),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,plain,
    ~ eq(x,y),
    inference(flattening,[],[f8]) ).

tff(f8,negated_conjecture,
    ~ eq(x,y),
    inference(negated_conjecture,[],[f7]) ).

tff(f7,conjecture,
    eq(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz63b) ).

tff(f36,plain,
    ( moref(x,y)
    | eq(x,y) ),
    inference(resolution,[],[f35,f27]) ).

tff(f27,plain,
    ! [X0: frac,X1: frac] :
      ( lessf(X0,X1)
      | moref(X0,X1)
      | eq(X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

tff(f20,plain,
    ! [X0: frac,X1: frac] :
      ( lessf(X0,X1)
      | moref(X0,X1)
      | eq(X0,X1) ),
    inference(flattening,[],[f19]) ).

tff(f19,plain,
    ! [X0: frac,X1: frac] :
      ( lessf(X0,X1)
      | moref(X0,X1)
      | eq(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: frac,X1: frac] :
      ( ~ eq(X0,X1)
     => ( ~ moref(X0,X1)
       => lessf(X0,X1) ) ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ! [X1: frac,X2: frac] :
      ( ~ eq(X1,X2)
     => ( ~ moref(X1,X2)
       => lessf(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz41a) ).

tff(f35,plain,
    ~ lessf(x,y),
    inference(resolution,[],[f34,f26]) ).

tff(f34,plain,
    ! [X2: frac,X0: frac,X1: frac] :
      ( ~ eq(pf(X0,X2),pf(X1,X2))
      | ~ lessf(X0,X1) ),
    inference(resolution,[],[f32,f30]) ).

tff(f30,plain,
    ! [X0: frac,X1: frac] :
      ( ~ lessf(X0,X1)
      | ~ eq(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

tff(f32,plain,
    ! [X2: frac,X0: frac,X1: frac] :
      ( lessf(pf(X0,X2),pf(X1,X2))
      | ~ lessf(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

tff(f24,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( lessf(pf(X0,X2),pf(X1,X2))
      | ~ lessf(X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

tff(f18,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( lessf(X0,X1)
     => lessf(pf(X0,X2),pf(X1,X2)) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X1: frac,X2: frac,X3: frac] :
      ( lessf(X1,X2)
     => lessf(pf(X1,X3),pf(X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz62c) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : NUM756_8 : TPTP v8.2.0. Released v8.0.0.
% 0.10/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Mon May 20 04:57:07 EDT 2024
% 0.11/0.30  % CPUTime    : 
% 0.11/0.30  This is a TX0_THM_NEQ_NAR problem
% 0.11/0.31  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64  % (29860)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.47/0.64  % (29856)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.47/0.64  % (29860)Refutation not found, incomplete strategy% (29860)------------------------------
% 0.47/0.64  % (29860)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.64  % (29860)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64  
% 0.47/0.64  % (29860)Memory used [KB]: 943
% 0.47/0.64  % (29860)Time elapsed: 0.001 s
% 0.47/0.64  % (29860)Instructions burned: 2 (million)
% 0.47/0.64  % (29860)------------------------------
% 0.47/0.64  % (29860)------------------------------
% 0.47/0.64  % (29854)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.47/0.64  % (29856)Refutation not found, incomplete strategy% (29856)------------------------------
% 0.47/0.64  % (29856)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.64  % (29856)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64  
% 0.47/0.64  % (29856)Memory used [KB]: 943
% 0.47/0.64  % (29856)Time elapsed: 0.002 s
% 0.47/0.64  % (29856)Instructions burned: 2 (million)
% 0.47/0.64  % (29855)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.47/0.64  % (29853)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.47/0.64  % (29856)------------------------------
% 0.47/0.64  % (29856)------------------------------
% 0.47/0.64  % (29853)Refutation not found, incomplete strategy% (29853)------------------------------
% 0.47/0.64  % (29853)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.64  % (29853)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64  
% 0.47/0.64  % (29853)Memory used [KB]: 950
% 0.47/0.64  % (29853)Time elapsed: 0.002 s
% 0.47/0.64  % (29853)Instructions burned: 2 (million)
% 0.47/0.64  % (29855)First to succeed.
% 0.47/0.64  % (29853)------------------------------
% 0.47/0.64  % (29853)------------------------------
% 0.47/0.64  % (29854)Also succeeded, but the first one will report.
% 0.47/0.64  % (29855)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29852"
% 0.47/0.64  % (29859)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.47/0.65  % (29855)Refutation found. Thanks to Tanya!
% 0.47/0.65  % SZS status Theorem for theBenchmark
% 0.47/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 0.47/0.65  % (29855)------------------------------
% 0.47/0.65  % (29855)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.65  % (29855)Termination reason: Refutation
% 0.47/0.65  
% 0.47/0.65  % (29855)Memory used [KB]: 974
% 0.47/0.65  % (29855)Time elapsed: 0.004 s
% 0.47/0.65  % (29855)Instructions burned: 3 (million)
% 0.47/0.65  % (29852)Success in time 0.335 s
% 0.47/0.65  % Vampire---4.8 exiting
%------------------------------------------------------------------------------