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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG103+2 : 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/sandbox2/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 : Tue May 21 02:39:32 EDT 2024

% Result   : Theorem 0.56s 0.77s
% Output   : Refutation 0.56s
% 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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : RNG103+2 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.16  % 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
% 0.17/0.38  % Computer : n010.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit   : 300
% 0.17/0.38  % WCLimit    : 300
% 0.17/0.38  % DateTime   : Sat May 18 12:10:38 EDT 2024
% 0.17/0.38  % CPUTime    : 
% 0.17/0.38  This is a FOF_THM_RFO_SEQ problem
% 0.17/0.38  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/benchmark/theBenchmark.p
% 0.56/0.73  % (6346)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.73  % (6348)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)
% 0.56/0.73  % (6347)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)
% 0.56/0.73  % (6341)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)
% 0.56/0.73  % (6342)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)
% 0.56/0.73  % (6348)Refutation not found, incomplete strategy% (6348)------------------------------
% 0.56/0.73  % (6348)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (6348)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (6348)Memory used [KB]: 1043
% 0.56/0.73  % (6348)Time elapsed: 0.004 s
% 0.56/0.73  % (6348)Instructions burned: 4 (million)
% 0.56/0.73  % (6345)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 (2996ds/34Mi)
% 0.56/0.73  % (6348)------------------------------
% 0.56/0.73  % (6348)------------------------------
% 0.56/0.74  % (6344)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)
% 0.56/0.74  % (6341)Refutation not found, incomplete strategy% (6341)------------------------------
% 0.56/0.74  % (6341)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (6341)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (6343)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74  % (6341)Memory used [KB]: 1154
% 0.56/0.74  % (6341)Time elapsed: 0.008 s
% 0.56/0.74  % (6341)Instructions burned: 9 (million)
% 0.56/0.74  % (6341)------------------------------
% 0.56/0.74  % (6341)------------------------------
% 0.56/0.74  % (6349)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 (2996ds/55Mi)
% 0.56/0.74  % (6350)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 (2996ds/50Mi)
% 0.56/0.74  % (6345)Refutation not found, incomplete strategy% (6345)------------------------------
% 0.56/0.74  % (6345)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (6345)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (6345)Memory used [KB]: 1263
% 0.56/0.74  % (6345)Time elapsed: 0.013 s
% 0.56/0.74  % (6345)Instructions burned: 14 (million)
% 0.56/0.74  % (6345)------------------------------
% 0.56/0.74  % (6345)------------------------------
% 0.56/0.74  % (6346)Instruction limit reached!
% 0.56/0.74  % (6346)------------------------------
% 0.56/0.74  % (6346)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (6346)Termination reason: Unknown
% 0.56/0.74  % (6346)Termination phase: Saturation
% 0.56/0.74  
% 0.56/0.74  % (6346)Memory used [KB]: 1604
% 0.56/0.74  % (6346)Time elapsed: 0.016 s
% 0.56/0.74  % (6346)Instructions burned: 47 (million)
% 0.56/0.74  % (6346)------------------------------
% 0.56/0.74  % (6346)------------------------------
% 0.56/0.75  % (6352)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 (2996ds/52Mi)
% 0.56/0.75  % (6351)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 (2996ds/208Mi)
% 0.56/0.75  % (6344)Instruction limit reached!
% 0.56/0.75  % (6344)------------------------------
% 0.56/0.75  % (6344)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (6344)Termination reason: Unknown
% 0.56/0.75  % (6344)Termination phase: Saturation
% 0.56/0.75  
% 0.56/0.75  % (6344)Memory used [KB]: 1646
% 0.56/0.75  % (6344)Time elapsed: 0.019 s
% 0.56/0.75  % (6344)Instructions burned: 34 (million)
% 0.56/0.75  % (6344)------------------------------
% 0.56/0.75  % (6344)------------------------------
% 0.56/0.76  % (6353)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 (2996ds/518Mi)
% 0.56/0.76  % (6342)Instruction limit reached!
% 0.56/0.76  % (6342)------------------------------
% 0.56/0.76  % (6342)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (6342)Termination reason: Unknown
% 0.56/0.76  % (6342)Termination phase: Saturation
% 0.56/0.76  
% 0.56/0.76  % (6342)Memory used [KB]: 1831
% 0.56/0.76  % (6342)Time elapsed: 0.033 s
% 0.56/0.76  % (6342)Instructions burned: 51 (million)
% 0.56/0.76  % (6342)------------------------------
% 0.56/0.76  % (6342)------------------------------
% 0.56/0.76  % (6352)Instruction limit reached!
% 0.56/0.76  % (6352)------------------------------
% 0.56/0.76  % (6352)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (6352)Termination reason: Unknown
% 0.56/0.76  % (6352)Termination phase: Saturation
% 0.56/0.76  
% 0.56/0.76  % (6352)Memory used [KB]: 1808
% 0.56/0.76  % (6352)Time elapsed: 0.018 s
% 0.56/0.76  % (6352)Instructions burned: 52 (million)
% 0.56/0.76  % (6352)------------------------------
% 0.56/0.76  % (6352)------------------------------
% 0.56/0.77  % (6355)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 theBenchmark for (2996ds/243Mi)
% 0.56/0.77  % (6354)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 (2996ds/42Mi)
% 0.56/0.77  % (6350)Instruction limit reached!
% 0.56/0.77  % (6350)------------------------------
% 0.56/0.77  % (6350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77  % (6350)Termination reason: Unknown
% 0.56/0.77  % (6350)Termination phase: Saturation
% 0.56/0.77  
% 0.56/0.77  % (6350)Memory used [KB]: 1797
% 0.56/0.77  % (6350)Time elapsed: 0.029 s
% 0.56/0.77  % (6350)Instructions burned: 51 (million)
% 0.56/0.77  % (6350)------------------------------
% 0.56/0.77  % (6350)------------------------------
% 0.56/0.77  % (6347)Instruction limit reached!
% 0.56/0.77  % (6347)------------------------------
% 0.56/0.77  % (6347)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77  % (6347)Termination reason: Unknown
% 0.56/0.77  % (6347)Termination phase: Saturation
% 0.56/0.77  
% 0.56/0.77  % (6347)Memory used [KB]: 1995
% 0.56/0.77  % (6347)Time elapsed: 0.041 s
% 0.56/0.77  % (6347)Instructions burned: 83 (million)
% 0.56/0.77  % (6347)------------------------------
% 0.56/0.77  % (6347)------------------------------
% 0.56/0.77  % (6349)Instruction limit reached!
% 0.56/0.77  % (6349)------------------------------
% 0.56/0.77  % (6349)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77  % (6349)Termination reason: Unknown
% 0.56/0.77  % (6349)Termination phase: Saturation
% 0.56/0.77  
% 0.56/0.77  % (6349)Memory used [KB]: 2557
% 0.56/0.77  % (6349)Time elapsed: 0.031 s
% 0.56/0.77  % (6349)Instructions burned: 55 (million)
% 0.56/0.77  % (6349)------------------------------
% 0.56/0.77  % (6349)------------------------------
% 0.56/0.77  % (6353)First to succeed.
% 0.56/0.77  % (6353)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6340"
% 0.56/0.77  % (6353)Refutation found. Thanks to Tanya!
% 0.56/0.77  % SZS status Theorem for theBenchmark
% 0.56/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.77  % (6353)------------------------------
% 0.56/0.77  % (6353)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77  % (6353)Termination reason: Refutation
% 0.56/0.77  
% 0.56/0.77  % (6353)Memory used [KB]: 1396
% 0.56/0.77  % (6353)Time elapsed: 0.012 s
% 0.56/0.77  % (6353)Instructions burned: 20 (million)
% 0.56/0.77  % (6340)Success in time 0.381 s
% 0.56/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------