TSTP Solution File: RNG103+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG103+2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n028.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 : Sun May  5 08:54:15 EDT 2024

% Result   : Theorem 0.58s 0.78s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  14 unt;   0 def)
%            Number of atoms       :   46 (  21 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   47 (  24   ~;  15   |;   7   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f375,plain,
    $false,
    inference(trivial_inequality_removal,[],[f374]) ).

fof(f374,plain,
    sdtpldt0(xx,xy) != sdtpldt0(xx,xy),
    inference(forward_demodulation,[],[f373,f166]) ).

fof(f166,plain,
    xx = sdtasdt0(xc,xu),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    ( xx = sdtasdt0(xc,xu)
    & aElement0(xu) ),
    file('/export/starexec/sandbox2/tmp/tmp.FFYIiEBFij/Vampire---4.8_12924',m__1956) ).

fof(f373,plain,
    sdtpldt0(xx,xy) != sdtpldt0(sdtasdt0(xc,xu),xy),
    inference(forward_demodulation,[],[f372,f168]) ).

fof(f168,plain,
    xy = sdtasdt0(xc,xv),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    ( xy = sdtasdt0(xc,xv)
    & aElement0(xv) ),
    file('/export/starexec/sandbox2/tmp/tmp.FFYIiEBFij/Vampire---4.8_12924',m__1979) ).

fof(f372,plain,
    sdtpldt0(xx,xy) != sdtpldt0(sdtasdt0(xc,xu),sdtasdt0(xc,xv)),
    inference(subsumption_resolution,[],[f371,f157]) ).

fof(f157,plain,
    aElement0(xc),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    aElement0(xc),
    file('/export/starexec/sandbox2/tmp/tmp.FFYIiEBFij/Vampire---4.8_12924',m__1905) ).

fof(f371,plain,
    ( sdtpldt0(xx,xy) != sdtpldt0(sdtasdt0(xc,xu),sdtasdt0(xc,xv))
    | ~ aElement0(xc) ),
    inference(subsumption_resolution,[],[f370,f165]) ).

fof(f165,plain,
    aElement0(xu),
    inference(cnf_transformation,[],[f40]) ).

fof(f370,plain,
    ( sdtpldt0(xx,xy) != sdtpldt0(sdtasdt0(xc,xu),sdtasdt0(xc,xv))
    | ~ aElement0(xu)
    | ~ aElement0(xc) ),
    inference(subsumption_resolution,[],[f369,f167]) ).

fof(f167,plain,
    aElement0(xv),
    inference(cnf_transformation,[],[f41]) ).

fof(f369,plain,
    ( sdtpldt0(xx,xy) != sdtpldt0(sdtasdt0(xc,xu),sdtasdt0(xc,xv))
    | ~ aElement0(xv)
    | ~ aElement0(xu)
    | ~ aElement0(xc) ),
    inference(superposition,[],[f169,f228]) ).

fof(f228,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aElement0(X2)
        & aElement0(X1)
        & aElement0(X0) )
     => ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
        & sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.FFYIiEBFij/Vampire---4.8_12924',mAMDistr) ).

fof(f169,plain,
    sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv)),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv)),
    inference(flattening,[],[f43]) ).

fof(f43,negated_conjecture,
    sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv)),
    inference(negated_conjecture,[],[f42]) ).

fof(f42,conjecture,
    sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
    file('/export/starexec/sandbox2/tmp/tmp.FFYIiEBFij/Vampire---4.8_12924',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : RNG103+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n028.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 18:18:08 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.FFYIiEBFij/Vampire---4.8_12924
% 0.58/0.75  % (13037)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)
% 0.58/0.75  % (13039)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)
% 0.58/0.75  % (13038)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)
% 0.58/0.75  % (13032)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)
% 0.58/0.75  % (13034)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (13035)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)
% 0.58/0.75  % (13033)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)
% 0.58/0.75  % (13039)Refutation not found, incomplete strategy% (13039)------------------------------
% 0.58/0.75  % (13039)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (13039)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (13039)Memory used [KB]: 1043
% 0.58/0.75  % (13039)Time elapsed: 0.003 s
% 0.58/0.75  % (13039)Instructions burned: 4 (million)
% 0.58/0.75  % (13039)------------------------------
% 0.58/0.75  % (13039)------------------------------
% 0.58/0.75  % (13036)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)
% 0.58/0.76  % (13032)Refutation not found, incomplete strategy% (13032)------------------------------
% 0.58/0.76  % (13032)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (13032)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (13032)Memory used [KB]: 1154
% 0.58/0.76  % (13032)Time elapsed: 0.007 s
% 0.58/0.76  % (13032)Instructions burned: 9 (million)
% 0.58/0.76  % (13032)------------------------------
% 0.58/0.76  % (13032)------------------------------
% 0.58/0.76  % (13036)Refutation not found, incomplete strategy% (13036)------------------------------
% 0.58/0.76  % (13036)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (13036)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (13036)Memory used [KB]: 1263
% 0.58/0.76  % (13036)Time elapsed: 0.009 s
% 0.58/0.76  % (13036)Instructions burned: 14 (million)
% 0.58/0.76  % (13040)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)
% 0.58/0.76  % (13036)------------------------------
% 0.58/0.76  % (13036)------------------------------
% 0.58/0.76  % (13037)Instruction limit reached!
% 0.58/0.76  % (13037)------------------------------
% 0.58/0.76  % (13037)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (13037)Termination reason: Unknown
% 0.58/0.76  % (13037)Termination phase: Saturation
% 0.58/0.76  
% 0.58/0.76  % (13037)Memory used [KB]: 1565
% 0.58/0.76  % (13037)Time elapsed: 0.017 s
% 0.58/0.76  % (13037)Instructions burned: 46 (million)
% 0.58/0.76  % (13037)------------------------------
% 0.58/0.76  % (13037)------------------------------
% 0.58/0.77  % (13035)Instruction limit reached!
% 0.58/0.77  % (13035)------------------------------
% 0.58/0.77  % (13035)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (13035)Termination reason: Unknown
% 0.58/0.77  % (13042)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)
% 0.58/0.77  % (13035)Termination phase: Saturation
% 0.58/0.77  
% 0.58/0.77  % (13035)Memory used [KB]: 1647
% 0.58/0.77  % (13035)Time elapsed: 0.018 s
% 0.58/0.77  % (13035)Instructions burned: 34 (million)
% 0.58/0.77  % (13035)------------------------------
% 0.58/0.77  % (13035)------------------------------
% 0.58/0.77  % (13041)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)
% 0.58/0.77  % (13044)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 (2996ds/518Mi)
% 0.58/0.78  % (13043)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 (2996ds/52Mi)
% 0.58/0.78  % (13038)Instruction limit reached!
% 0.58/0.78  % (13038)------------------------------
% 0.58/0.78  % (13038)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (13038)Termination reason: Unknown
% 0.58/0.78  % (13038)Termination phase: Saturation
% 0.58/0.78  
% 0.58/0.78  % (13038)Memory used [KB]: 1996
% 0.58/0.78  % (13038)Time elapsed: 0.033 s
% 0.58/0.78  % (13038)Instructions burned: 83 (million)
% 0.58/0.78  % (13038)------------------------------
% 0.58/0.78  % (13038)------------------------------
% 0.58/0.78  % (13044)First to succeed.
% 0.58/0.78  % (13033)Instruction limit reached!
% 0.58/0.78  % (13033)------------------------------
% 0.58/0.78  % (13033)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (13033)Termination reason: Unknown
% 0.58/0.78  % (13033)Termination phase: Saturation
% 0.58/0.78  
% 0.58/0.78  % (13033)Memory used [KB]: 1851
% 0.58/0.78  % (13033)Time elapsed: 0.034 s
% 0.58/0.78  % (13033)Instructions burned: 52 (million)
% 0.58/0.78  % (13033)------------------------------
% 0.58/0.78  % (13033)------------------------------
% 0.58/0.78  % (13044)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13031"
% 0.58/0.78  % (13041)Instruction limit reached!
% 0.58/0.78  % (13041)------------------------------
% 0.58/0.78  % (13041)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (13041)Termination reason: Unknown
% 0.58/0.78  % (13041)Termination phase: Saturation
% 0.58/0.78  
% 0.58/0.78  % (13041)Memory used [KB]: 1874
% 0.58/0.78  % (13041)Time elapsed: 0.017 s
% 0.58/0.78  % (13041)Instructions burned: 53 (million)
% 0.58/0.78  % (13041)------------------------------
% 0.58/0.78  % (13041)------------------------------
% 0.58/0.78  % (13044)Refutation found. Thanks to Tanya!
% 0.58/0.78  % SZS status Theorem for Vampire---4
% 0.58/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.78  % (13044)------------------------------
% 0.58/0.78  % (13044)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (13044)Termination reason: Refutation
% 0.58/0.78  
% 0.58/0.78  % (13044)Memory used [KB]: 1397
% 0.58/0.78  % (13044)Time elapsed: 0.013 s
% 0.58/0.78  % (13044)Instructions burned: 20 (million)
% 0.58/0.78  % (13031)Success in time 0.402 s
% 0.58/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------