TSTP Solution File: NUM435+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM435+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 08:11:59 EDT 2024

% Result   : Theorem 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  13 unt;   0 def)
%            Number of atoms       :   49 (  20 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   46 (  20   ~;  15   |;   9   &)
%                                         (   0 <=>;   2  =>;   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    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2015,plain,
    $false,
    inference(subsumption_resolution,[],[f2014,f65]) ).

fof(f65,plain,
    sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
    inference(flattening,[],[f27]) ).

fof(f27,negated_conjecture,
    sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
    inference(negated_conjecture,[],[f26]) ).

fof(f26,conjecture,
    sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)),
    file('/export/starexec/sandbox2/tmp/tmp.VasB7LjReT/Vampire---4.8_20334',m__) ).

fof(f2014,plain,
    sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)),
    inference(forward_demodulation,[],[f2013,f64]) ).

fof(f64,plain,
    sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,axiom,
    ( sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb))
    & aInteger0(xm) ),
    file('/export/starexec/sandbox2/tmp/tmp.VasB7LjReT/Vampire---4.8_20334',m__1032) ).

fof(f2013,plain,
    sdtasdt0(sdtasdt0(xp,xq),xm) = sdtasdt0(xq,sdtasdt0(xp,xm)),
    inference(forward_demodulation,[],[f1809,f999]) ).

fof(f999,plain,
    sdtasdt0(xp,xq) = sdtasdt0(xq,xp),
    inference(unit_resulting_resolution,[],[f58,f60,f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( ( aInteger0(X1)
        & aInteger0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.VasB7LjReT/Vampire---4.8_20334',mMulComm) ).

fof(f60,plain,
    aInteger0(xq),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ( sz00 != xq
    & aInteger0(xq)
    & sz00 != xp
    & aInteger0(xp)
    & aInteger0(xb)
    & aInteger0(xa) ),
    file('/export/starexec/sandbox2/tmp/tmp.VasB7LjReT/Vampire---4.8_20334',m__979) ).

fof(f58,plain,
    aInteger0(xp),
    inference(cnf_transformation,[],[f23]) ).

fof(f1809,plain,
    sdtasdt0(xq,sdtasdt0(xp,xm)) = sdtasdt0(sdtasdt0(xq,xp),xm),
    inference(unit_resulting_resolution,[],[f58,f60,f63,f78]) ).

fof(f78,plain,
    ! [X2,X0,X1] :
      ( ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0)
      | sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
      | ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
      | ~ aInteger0(X2)
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( ( aInteger0(X2)
        & aInteger0(X1)
        & aInteger0(X0) )
     => sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.VasB7LjReT/Vampire---4.8_20334',mMulAsso) ).

fof(f63,plain,
    aInteger0(xm),
    inference(cnf_transformation,[],[f25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : NUM435+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % 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
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 14:58:23 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  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.VasB7LjReT/Vampire---4.8_20334
% 0.54/0.74  % (20444)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.54/0.74  % (20446)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 (2995ds/34Mi)
% 0.54/0.74  % (20445)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.54/0.74  % (20443)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 (2995ds/51Mi)
% 0.54/0.74  % (20447)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.54/0.74  % (20442)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 (2995ds/34Mi)
% 0.54/0.74  % (20448)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 (2995ds/83Mi)
% 0.54/0.74  % (20449)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 (2995ds/56Mi)
% 0.54/0.75  % (20449)Refutation not found, incomplete strategy% (20449)------------------------------
% 0.54/0.75  % (20449)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (20449)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (20449)Memory used [KB]: 1044
% 0.54/0.75  % (20449)Time elapsed: 0.003 s
% 0.54/0.75  % (20449)Instructions burned: 3 (million)
% 0.54/0.75  % (20449)------------------------------
% 0.54/0.75  % (20449)------------------------------
% 0.54/0.75  % (20442)Refutation not found, incomplete strategy% (20442)------------------------------
% 0.54/0.75  % (20442)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (20442)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (20442)Memory used [KB]: 1052
% 0.54/0.75  % (20442)Time elapsed: 0.004 s
% 0.54/0.75  % (20442)Instructions burned: 5 (million)
% 0.54/0.75  % (20442)------------------------------
% 0.54/0.75  % (20442)------------------------------
% 0.54/0.75  % (20446)Refutation not found, incomplete strategy% (20446)------------------------------
% 0.54/0.75  % (20446)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (20446)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (20446)Memory used [KB]: 1076
% 0.54/0.75  % (20446)Time elapsed: 0.004 s
% 0.54/0.75  % (20446)Instructions burned: 7 (million)
% 0.54/0.75  % (20446)------------------------------
% 0.54/0.75  % (20446)------------------------------
% 0.54/0.75  % (20450)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 (2995ds/55Mi)
% 0.54/0.75  % (20451)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 (2995ds/50Mi)
% 0.54/0.75  % (20452)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 (2995ds/208Mi)
% 0.54/0.76  % (20445)Instruction limit reached!
% 0.54/0.76  % (20445)------------------------------
% 0.54/0.76  % (20445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (20445)Termination reason: Unknown
% 0.54/0.76  % (20445)Termination phase: Saturation
% 0.54/0.76  
% 0.54/0.76  % (20445)Memory used [KB]: 1624
% 0.54/0.76  % (20445)Time elapsed: 0.017 s
% 0.54/0.76  % (20445)Instructions burned: 34 (million)
% 0.54/0.76  % (20445)------------------------------
% 0.54/0.76  % (20445)------------------------------
% 0.60/0.76  % (20453)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)
% 0.60/0.76  % (20447)Instruction limit reached!
% 0.60/0.76  % (20447)------------------------------
% 0.60/0.76  % (20447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (20447)Termination reason: Unknown
% 0.60/0.76  % (20447)Termination phase: Saturation
% 0.60/0.76  
% 0.60/0.76  % (20447)Memory used [KB]: 1562
% 0.60/0.76  % (20447)Time elapsed: 0.022 s
% 0.60/0.76  % (20447)Instructions burned: 46 (million)
% 0.60/0.76  % (20447)------------------------------
% 0.60/0.76  % (20447)------------------------------
% 0.60/0.77  % (20454)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)
% 0.60/0.77  % (20443)Instruction limit reached!
% 0.60/0.77  % (20443)------------------------------
% 0.60/0.77  % (20443)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (20443)Termination reason: Unknown
% 0.60/0.77  % (20443)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (20443)Memory used [KB]: 1769
% 0.60/0.77  % (20443)Time elapsed: 0.027 s
% 0.60/0.77  % (20443)Instructions burned: 51 (million)
% 0.60/0.77  % (20443)------------------------------
% 0.60/0.77  % (20443)------------------------------
% 0.60/0.77  % (20451)Instruction limit reached!
% 0.60/0.77  % (20451)------------------------------
% 0.60/0.77  % (20451)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (20451)Termination reason: Unknown
% 0.60/0.77  % (20451)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (20451)Memory used [KB]: 1615
% 0.60/0.77  % (20451)Time elapsed: 0.022 s
% 0.60/0.77  % (20451)Instructions burned: 52 (million)
% 0.60/0.77  % (20451)------------------------------
% 0.60/0.77  % (20451)------------------------------
% 0.60/0.77  % (20450)Instruction limit reached!
% 0.60/0.77  % (20450)------------------------------
% 0.60/0.77  % (20450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (20450)Termination reason: Unknown
% 0.60/0.77  % (20450)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (20450)Memory used [KB]: 2195
% 0.60/0.77  % (20450)Time elapsed: 0.024 s
% 0.60/0.77  % (20450)Instructions burned: 55 (million)
% 0.60/0.77  % (20450)------------------------------
% 0.60/0.77  % (20450)------------------------------
% 0.60/0.77  % (20455)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)
% 0.60/0.77  % (20448)First to succeed.
% 0.60/0.77  % (20456)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)
% 0.60/0.77  % (20448)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20441"
% 0.60/0.77  % (20455)Refutation not found, incomplete strategy% (20455)------------------------------
% 0.60/0.77  % (20455)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (20455)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (20455)Memory used [KB]: 1050
% 0.60/0.77  % (20455)Time elapsed: 0.003 s
% 0.60/0.77  % (20455)Instructions burned: 4 (million)
% 0.60/0.77  % (20448)Refutation found. Thanks to Tanya!
% 0.60/0.77  % SZS status Theorem for Vampire---4
% 0.60/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77  % (20448)------------------------------
% 0.60/0.77  % (20448)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (20448)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (20448)Memory used [KB]: 1780
% 0.60/0.77  % (20448)Time elapsed: 0.031 s
% 0.60/0.77  % (20448)Instructions burned: 75 (million)
% 0.60/0.77  % (20441)Success in time 0.444 s
% 0.60/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------