TSTP Solution File: NUM630+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM630+1 : TPTP v8.2.0. 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 : n013.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 01:43:53 EDT 2024

% Result   : Theorem 0.77s 0.90s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (  13 unt;   0 def)
%            Number of atoms       :   55 (  19 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   56 (  23   ~;  15   |;  16   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  12 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1744,plain,
    $false,
    inference(subsumption_resolution,[],[f1743,f384]) ).

fof(f384,plain,
    aElementOf0(xP,slbdtsldtrb0(xD,xk)),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,axiom,
    aElementOf0(xP,slbdtsldtrb0(xD,xk)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5599) ).

fof(f1743,plain,
    ~ aElementOf0(xP,slbdtsldtrb0(xD,xk)),
    inference(forward_demodulation,[],[f1742,f383]) ).

fof(f383,plain,
    xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,axiom,
    xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5585) ).

fof(f1742,plain,
    ~ aElementOf0(xP,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk)),
    inference(subsumption_resolution,[],[f1741,f379]) ).

fof(f379,plain,
    aElementOf0(xn,szNzAzT0),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,axiom,
    ( xp = sdtlpdtrp0(xe,xn)
    & aElementOf0(xn,szNzAzT0)
    & aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).

fof(f1741,plain,
    ( ~ aElementOf0(xP,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk))
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(subsumption_resolution,[],[f1737,f370]) ).

fof(f370,plain,
    aSet0(xP),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,axiom,
    ( xP = sdtmndt0(xQ,szmzizndt0(xQ))
    & aSet0(xP) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).

fof(f1737,plain,
    ( ~ aElementOf0(xP,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk))
    | ~ aSet0(xP)
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(trivial_inequality_removal,[],[f1733]) ).

fof(f1733,plain,
    ( sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)
    | ~ aElementOf0(xP,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk))
    | ~ aSet0(xP)
    | ~ aElementOf0(xn,szNzAzT0) ),
    inference(superposition,[],[f385,f338]) ).

fof(f338,plain,
    ! [X0,X1] :
      ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
      | ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
      | ~ aSet0(X1)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ( ! [X0] :
        ( ( ! [X1] :
              ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
              | ~ aSet0(X1) )
          & slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
          & aFunction0(sdtlpdtrp0(xC,X0)) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xC)
    & aFunction0(xC) ),
    inference(flattening,[],[f137]) ).

fof(f137,plain,
    ( ! [X0] :
        ( ( ! [X1] :
              ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
              | ~ aSet0(X1) )
          & slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
          & aFunction0(sdtlpdtrp0(xC,X0)) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xC)
    & aFunction0(xC) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( ! [X1] :
              ( ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
                & aSet0(X1) )
             => sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) )
          & slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
          & aFunction0(sdtlpdtrp0(xC,X0)) ) )
    & szNzAzT0 = szDzozmdt0(xC)
    & aFunction0(xC) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).

fof(f385,plain,
    sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
    inference(flattening,[],[f117]) ).

fof(f117,negated_conjecture,
    sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
    inference(negated_conjecture,[],[f116]) ).

fof(f116,conjecture,
    sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : NUM630+1 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14  % 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
% 0.13/0.36  % Computer : n013.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Mon May 20 05:24:38 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36  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/benchmark/theBenchmark.p
% 0.60/0.85  % (27528)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 (2995ds/34Mi)
% 0.60/0.85  % (27529)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 (2995ds/51Mi)
% 0.60/0.85  % (27530)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.85  % (27532)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 theBenchmark for (2995ds/34Mi)
% 0.60/0.85  % (27533)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.85  % (27531)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.85  % (27534)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 (2995ds/83Mi)
% 0.60/0.85  % (27535)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 (2995ds/56Mi)
% 0.68/0.87  % (27531)Instruction limit reached!
% 0.68/0.87  % (27531)------------------------------
% 0.68/0.87  % (27531)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.87  % (27532)Instruction limit reached!
% 0.68/0.87  % (27532)------------------------------
% 0.68/0.87  % (27532)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.87  % (27532)Termination reason: Unknown
% 0.68/0.87  % (27532)Termination phase: Saturation
% 0.68/0.87  
% 0.68/0.87  % (27532)Memory used [KB]: 1804
% 0.68/0.87  % (27532)Time elapsed: 0.020 s
% 0.68/0.87  % (27532)Instructions burned: 35 (million)
% 0.68/0.87  % (27532)------------------------------
% 0.68/0.87  % (27532)------------------------------
% 0.68/0.87  % (27531)Termination reason: Unknown
% 0.68/0.87  % (27531)Termination phase: Saturation
% 0.68/0.87  
% 0.68/0.87  % (27531)Memory used [KB]: 1752
% 0.68/0.87  % (27531)Time elapsed: 0.020 s
% 0.68/0.87  % (27531)Instructions burned: 33 (million)
% 0.68/0.87  % (27531)------------------------------
% 0.68/0.87  % (27531)------------------------------
% 0.68/0.87  % (27528)Instruction limit reached!
% 0.68/0.87  % (27528)------------------------------
% 0.68/0.87  % (27528)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.87  % (27528)Termination reason: Unknown
% 0.68/0.87  % (27528)Termination phase: Saturation
% 0.68/0.87  
% 0.68/0.87  % (27528)Memory used [KB]: 1587
% 0.68/0.87  % (27528)Time elapsed: 0.021 s
% 0.68/0.87  % (27528)Instructions burned: 35 (million)
% 0.68/0.87  % (27528)------------------------------
% 0.68/0.87  % (27528)------------------------------
% 0.68/0.87  % (27538)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.68/0.87  % (27536)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 theBenchmark for (2995ds/55Mi)
% 0.68/0.87  % (27537)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 theBenchmark for (2995ds/50Mi)
% 0.68/0.88  % (27533)Instruction limit reached!
% 0.68/0.88  % (27533)------------------------------
% 0.68/0.88  % (27533)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.88  % (27533)Termination reason: Unknown
% 0.68/0.88  % (27533)Termination phase: Saturation
% 0.68/0.88  
% 0.68/0.88  % (27533)Memory used [KB]: 1760
% 0.68/0.88  % (27533)Time elapsed: 0.028 s
% 0.68/0.88  % (27533)Instructions burned: 46 (million)
% 0.68/0.88  % (27533)------------------------------
% 0.68/0.88  % (27533)------------------------------
% 0.77/0.88  % (27539)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 theBenchmark for (2994ds/52Mi)
% 0.77/0.88  % (27529)Instruction limit reached!
% 0.77/0.88  % (27529)------------------------------
% 0.77/0.88  % (27529)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.88  % (27529)Termination reason: Unknown
% 0.77/0.88  % (27529)Termination phase: Saturation
% 0.77/0.88  
% 0.77/0.88  % (27529)Memory used [KB]: 2000
% 0.77/0.88  % (27529)Time elapsed: 0.035 s
% 0.77/0.88  % (27529)Instructions burned: 52 (million)
% 0.77/0.88  % (27529)------------------------------
% 0.77/0.88  % (27529)------------------------------
% 0.77/0.89  % (27535)Instruction limit reached!
% 0.77/0.89  % (27535)------------------------------
% 0.77/0.89  % (27535)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.89  % (27535)Termination reason: Unknown
% 0.77/0.89  % (27535)Termination phase: Saturation
% 0.77/0.89  
% 0.77/0.89  % (27535)Memory used [KB]: 1958
% 0.77/0.89  % (27535)Time elapsed: 0.035 s
% 0.77/0.89  % (27535)Instructions burned: 57 (million)
% 0.77/0.89  % (27535)------------------------------
% 0.77/0.89  % (27535)------------------------------
% 0.77/0.89  % (27540)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 theBenchmark for (2994ds/518Mi)
% 0.77/0.89  % (27541)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 theBenchmark for (2994ds/42Mi)
% 0.77/0.90  % (27530)First to succeed.
% 0.77/0.90  % (27530)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27527"
% 0.77/0.90  % (27530)Refutation found. Thanks to Tanya!
% 0.77/0.90  % SZS status Theorem for theBenchmark
% 0.77/0.90  % SZS output start Proof for theBenchmark
% See solution above
% 0.77/0.90  % (27530)------------------------------
% 0.77/0.90  % (27530)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.77/0.90  % (27530)Termination reason: Refutation
% 0.77/0.90  
% 0.77/0.90  % (27530)Memory used [KB]: 1900
% 0.77/0.90  % (27530)Time elapsed: 0.049 s
% 0.77/0.90  % (27530)Instructions burned: 78 (million)
% 0.77/0.90  % (27527)Success in time 0.525 s
% 0.77/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------