TSTP Solution File: NUM844+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM844+1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n024.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 03:34:51 EDT 2024

% Result   : Theorem 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (  21 unt;   0 def)
%            Number of atoms       :   25 (  24 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (  12   ~;   0   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f144,plain,
    $false,
    inference(trivial_inequality_removal,[],[f143]) ).

fof(f143,plain,
    vplus(vd411,vplus(v1,vplus(vd413,vmul(vd411,vd413)))) != vplus(vd411,vplus(v1,vplus(vd413,vmul(vd411,vd413)))),
    inference(forward_demodulation,[],[f142,f101]) ).

fof(f101,plain,
    ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(rectify,[],[f49]) ).

fof(f49,axiom,
    ! [X71,X72,X73] : vplus(vplus(X71,X72),X73) = vplus(X71,vplus(X72,X73)),
    file('/export/starexec/sandbox2/tmp/tmp.fXPbP6UcUA/Vampire---4.8_15240','ass(cond(33, 0), 0)') ).

fof(f142,plain,
    vplus(vd411,vplus(v1,vplus(vd413,vmul(vd411,vd413)))) != vplus(vd411,vplus(vplus(v1,vd413),vmul(vd411,vd413))),
    inference(superposition,[],[f140,f101]) ).

fof(f140,plain,
    vplus(vd411,vplus(v1,vplus(vd413,vmul(vd411,vd413)))) != vplus(vplus(vd411,vplus(v1,vd413)),vmul(vd411,vd413)),
    inference(superposition,[],[f139,f102]) ).

fof(f102,plain,
    ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ! [X66,X67] : vplus(X67,X66) = vplus(X66,X67),
    file('/export/starexec/sandbox2/tmp/tmp.fXPbP6UcUA/Vampire---4.8_15240','ass(cond(61, 0), 0)') ).

fof(f139,plain,
    vplus(vd411,vplus(v1,vplus(vd413,vmul(vd411,vd413)))) != vplus(vmul(vd411,vd413),vplus(vd411,vplus(v1,vd413))),
    inference(forward_demodulation,[],[f138,f101]) ).

fof(f138,plain,
    vplus(vmul(vd411,vd413),vplus(vplus(vd411,v1),vd413)) != vplus(vd411,vplus(v1,vplus(vd413,vmul(vd411,vd413)))),
    inference(forward_demodulation,[],[f137,f102]) ).

fof(f137,plain,
    vplus(vmul(vd411,vd413),vplus(vd413,vplus(vd411,v1))) != vplus(vd411,vplus(v1,vplus(vd413,vmul(vd411,vd413)))),
    inference(forward_demodulation,[],[f136,f101]) ).

fof(f136,plain,
    vplus(vmul(vd411,vd413),vplus(vd413,vplus(vd411,v1))) != vplus(vplus(vd411,v1),vplus(vd413,vmul(vd411,vd413))),
    inference(forward_demodulation,[],[f135,f101]) ).

fof(f135,plain,
    vplus(vmul(vd411,vd413),vplus(vd413,vplus(vd411,v1))) != vplus(vplus(vplus(vd411,v1),vd413),vmul(vd411,vd413)),
    inference(forward_demodulation,[],[f115,f102]) ).

fof(f115,plain,
    vplus(vmul(vd411,vd413),vplus(vd413,vplus(vd411,v1))) != vplus(vmul(vd411,vd413),vplus(vplus(vd411,v1),vd413)),
    inference(definition_unfolding,[],[f86,f113,f113]) ).

fof(f113,plain,
    ! [X0] : vsucc(X0) = vplus(X0,v1),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( vsucc(X0) = vplus(X0,v1)
      & vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
    inference(rectify,[],[f50]) ).

fof(f50,axiom,
    ! [X74,X75] :
      ( vplus(X74,v1) = vsucc(X74)
      & vplus(X74,vsucc(X75)) = vsucc(vplus(X74,X75)) ),
    file('/export/starexec/sandbox2/tmp/tmp.fXPbP6UcUA/Vampire---4.8_15240','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).

fof(f86,plain,
    vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
    file('/export/starexec/sandbox2/tmp/tmp.fXPbP6UcUA/Vampire---4.8_15240','holds(266, 415, 3)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : NUM844+1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.11  % 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
% 0.11/0.31  % Computer : n024.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Apr 30 16:51:51 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.fXPbP6UcUA/Vampire---4.8_15240
% 0.62/0.80  % (15355)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)
% 0.62/0.80  % (15350)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)
% 0.62/0.80  % (15353)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)
% 0.62/0.80  % (15352)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80  % (15354)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)
% 0.62/0.80  % (15351)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)
% 0.62/0.80  % (15356)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)
% 0.62/0.80  % (15357)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)
% 0.62/0.80  % (15355)First to succeed.
% 0.62/0.80  % (15351)Also succeeded, but the first one will report.
% 0.62/0.80  % (15355)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Theorem for Vampire---4
% 0.62/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80  % (15355)------------------------------
% 0.62/0.80  % (15355)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (15355)Termination reason: Refutation
% 0.62/0.80  
% 0.62/0.80  % (15355)Memory used [KB]: 1063
% 0.62/0.80  % (15355)Time elapsed: 0.004 s
% 0.62/0.80  % (15355)Instructions burned: 5 (million)
% 0.62/0.80  % (15355)------------------------------
% 0.62/0.80  % (15355)------------------------------
% 0.62/0.80  % (15349)Success in time 0.477 s
% 0.62/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------