TSTP Solution File: RNG045+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG045+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n010.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 May  1 03:41:30 EDT 2024

% Result   : Theorem 0.59s 0.79s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (  14 unt;   0 def)
%            Number of atoms       :   55 (  19 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   63 (  33   ~;  21   |;   8   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f812,plain,
    $false,
    inference(subsumption_resolution,[],[f811,f43]) ).

fof(f43,plain,
    aScalar0(xy),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ( aScalar0(xv)
    & aScalar0(xu)
    & aScalar0(xy)
    & aScalar0(xx) ),
    file('/export/starexec/sandbox/tmp/tmp.tg8sUVpm5P/Vampire---4.8_8457',m__674) ).

fof(f811,plain,
    ~ aScalar0(xy),
    inference(subsumption_resolution,[],[f810,f44]) ).

fof(f44,plain,
    aScalar0(xu),
    inference(cnf_transformation,[],[f16]) ).

fof(f810,plain,
    ( ~ aScalar0(xu)
    | ~ aScalar0(xy) ),
    inference(subsumption_resolution,[],[f809,f45]) ).

fof(f45,plain,
    aScalar0(xv),
    inference(cnf_transformation,[],[f16]) ).

fof(f809,plain,
    ( ~ aScalar0(xv)
    | ~ aScalar0(xu)
    | ~ aScalar0(xy) ),
    inference(trivial_inequality_removal,[],[f807]) ).

fof(f807,plain,
    ( sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)))
    | ~ aScalar0(xv)
    | ~ aScalar0(xu)
    | ~ aScalar0(xy) ),
    inference(superposition,[],[f307,f48]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( ( aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tg8sUVpm5P/Vampire---4.8_8457',mDistr) ).

fof(f307,plain,
    sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))),
    inference(subsumption_resolution,[],[f306,f42]) ).

fof(f42,plain,
    aScalar0(xx),
    inference(cnf_transformation,[],[f16]) ).

fof(f306,plain,
    ( sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))
    | ~ aScalar0(xx) ),
    inference(subsumption_resolution,[],[f305,f44]) ).

fof(f305,plain,
    ( sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))
    | ~ aScalar0(xu)
    | ~ aScalar0(xx) ),
    inference(subsumption_resolution,[],[f303,f45]) ).

fof(f303,plain,
    ( sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))
    | ~ aScalar0(xv)
    | ~ aScalar0(xu)
    | ~ aScalar0(xx) ),
    inference(superposition,[],[f103,f48]) ).

fof(f103,plain,
    sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
    inference(superposition,[],[f47,f46]) ).

fof(f46,plain,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))),
    file('/export/starexec/sandbox/tmp/tmp.tg8sUVpm5P/Vampire---4.8_8457',m__733) ).

fof(f47,plain,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
    inference(flattening,[],[f19]) ).

fof(f19,negated_conjecture,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
    file('/export/starexec/sandbox/tmp/tmp.tg8sUVpm5P/Vampire---4.8_8457',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : RNG045+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15  % 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
% 0.15/0.36  % Computer : n010.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 17:19:34 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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/tmp/tmp.tg8sUVpm5P/Vampire---4.8_8457
% 0.57/0.75  % (8719)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 Vampire---4 for (2996ds/83Mi)
% 0.57/0.75  % (8713)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 Vampire---4 for (2996ds/34Mi)
% 0.57/0.75  % (8715)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (8716)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75  % (8717)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75  % (8714)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 Vampire---4 for (2996ds/51Mi)
% 0.57/0.75  % (8718)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75  % (8717)Refutation not found, incomplete strategy% (8717)------------------------------
% 0.57/0.75  % (8717)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (8717)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (8717)Memory used [KB]: 1049
% 0.57/0.75  % (8717)Time elapsed: 0.003 s
% 0.57/0.75  % (8717)Instructions burned: 4 (million)
% 0.57/0.75  % (8717)------------------------------
% 0.57/0.75  % (8717)------------------------------
% 0.57/0.76  % (8720)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.76  % (8720)Refutation not found, incomplete strategy% (8720)------------------------------
% 0.57/0.76  % (8720)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (8720)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (8720)Memory used [KB]: 957
% 0.57/0.76  % (8720)Time elapsed: 0.003 s
% 0.57/0.76  % (8720)Instructions burned: 2 (million)
% 0.57/0.76  % (8720)------------------------------
% 0.57/0.76  % (8720)------------------------------
% 0.57/0.76  % (8721)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.77  % (8716)Instruction limit reached!
% 0.59/0.77  % (8716)------------------------------
% 0.59/0.77  % (8716)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (8716)Termination reason: Unknown
% 0.59/0.77  % (8716)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (8716)Memory used [KB]: 1416
% 0.59/0.77  % (8716)Time elapsed: 0.018 s
% 0.59/0.77  % (8716)Instructions burned: 33 (million)
% 0.59/0.77  % (8716)------------------------------
% 0.59/0.77  % (8716)------------------------------
% 0.59/0.77  % (8713)Instruction limit reached!
% 0.59/0.77  % (8713)------------------------------
% 0.59/0.77  % (8713)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (8713)Termination reason: Unknown
% 0.59/0.77  % (8713)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (8713)Memory used [KB]: 1142
% 0.59/0.77  % (8713)Time elapsed: 0.021 s
% 0.59/0.77  % (8713)Instructions burned: 35 (million)
% 0.59/0.77  % (8713)------------------------------
% 0.59/0.77  % (8713)------------------------------
% 0.59/0.77  % (8719)Instruction limit reached!
% 0.59/0.77  % (8719)------------------------------
% 0.59/0.77  % (8719)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (8719)Termination reason: Unknown
% 0.59/0.77  % (8719)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (8719)Memory used [KB]: 1984
% 0.59/0.77  % (8719)Time elapsed: 0.022 s
% 0.59/0.77  % (8719)Instructions burned: 83 (million)
% 0.59/0.77  % (8719)------------------------------
% 0.59/0.77  % (8719)------------------------------
% 0.59/0.77  % (8723)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.77  % (8725)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.59/0.77  % (8724)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.59/0.78  % (8718)Instruction limit reached!
% 0.59/0.78  % (8718)------------------------------
% 0.59/0.78  % (8718)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (8718)Termination reason: Unknown
% 0.59/0.78  % (8718)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (8718)Memory used [KB]: 1689
% 0.59/0.78  % (8718)Time elapsed: 0.027 s
% 0.59/0.78  % (8718)Instructions burned: 46 (million)
% 0.59/0.78  % (8718)------------------------------
% 0.59/0.78  % (8718)------------------------------
% 0.59/0.78  % (8714)Instruction limit reached!
% 0.59/0.78  % (8714)------------------------------
% 0.59/0.78  % (8714)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (8714)Termination reason: Unknown
% 0.59/0.78  % (8714)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (8714)Memory used [KB]: 1674
% 0.59/0.78  % (8714)Time elapsed: 0.029 s
% 0.59/0.78  % (8714)Instructions burned: 51 (million)
% 0.59/0.78  % (8714)------------------------------
% 0.59/0.78  % (8714)------------------------------
% 0.59/0.78  % (8726)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.59/0.78  % (8722)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.78  % (8726)Refutation not found, incomplete strategy% (8726)------------------------------
% 0.59/0.78  % (8726)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (8726)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (8726)Memory used [KB]: 975
% 0.59/0.78  % (8726)Time elapsed: 0.003 s
% 0.59/0.78  % (8726)Instructions burned: 3 (million)
% 0.59/0.78  % (8726)------------------------------
% 0.59/0.78  % (8726)------------------------------
% 0.59/0.78  % (8727)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.59/0.78  % (8725)First to succeed.
% 0.59/0.78  % (8728)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.59/0.79  % (8725)Refutation found. Thanks to Tanya!
% 0.59/0.79  % SZS status Theorem for Vampire---4
% 0.59/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.79  % (8725)------------------------------
% 0.59/0.79  % (8725)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (8725)Termination reason: Refutation
% 0.59/0.79  
% 0.59/0.79  % (8725)Memory used [KB]: 1376
% 0.59/0.79  % (8725)Time elapsed: 0.013 s
% 0.59/0.79  % (8725)Instructions burned: 40 (million)
% 0.59/0.79  % (8725)------------------------------
% 0.59/0.79  % (8725)------------------------------
% 0.59/0.79  % (8709)Success in time 0.423 s
% 0.59/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------