TSTP Solution File: RNG039-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG039-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n002.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 03:41:27 EDT 2024

% Result   : Unsatisfiable 0.60s 0.82s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   44 (  34 unt;   0 def)
%            Number of atoms       :   55 (  25 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  15   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f502,plain,
    $false,
    inference(subsumption_resolution,[],[f498,f480]) ).

fof(f480,plain,
    additive_identity != a,
    inference(superposition,[],[f324,f438]) ).

fof(f438,plain,
    a = d,
    inference(resolution,[],[f271,f84]) ).

fof(f84,plain,
    product(a,d,a),
    inference(superposition,[],[f75,f23]) ).

fof(f23,axiom,
    ! [X10] : multiply(X10,X10) = X10,
    file('/export/starexec/sandbox/tmp/tmp.E68bSxhECc/Vampire---4.8_10636',clause35) ).

fof(f75,plain,
    ! [X0] : product(a,d,multiply(X0,a)),
    inference(superposition,[],[f32,f25]) ).

fof(f25,axiom,
    multiply(b,a) = d,
    file('/export/starexec/sandbox/tmp/tmp.E68bSxhECc/Vampire---4.8_10636',clause37) ).

fof(f32,axiom,
    ! [X10,X11] : product(a,multiply(b,X10),multiply(X11,X10)),
    file('/export/starexec/sandbox/tmp/tmp.E68bSxhECc/Vampire---4.8_10636',clause44) ).

fof(f271,plain,
    ! [X0,X1] :
      ( ~ product(X1,d,X0)
      | d = X0 ),
    inference(resolution,[],[f261,f17]) ).

fof(f17,axiom,
    ! [X2,X0,X1,X4] :
      ( ~ product(X0,X1,X4)
      | X2 = X4
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.E68bSxhECc/Vampire---4.8_10636',multiplication_is_well_defined) ).

fof(f261,plain,
    ! [X0] : product(X0,d,d),
    inference(superposition,[],[f31,f243]) ).

fof(f243,plain,
    ! [X0] : d = multiply(X0,d),
    inference(resolution,[],[f136,f195]) ).

fof(f195,plain,
    ! [X10] : product(b,a,multiply(X10,d)),
    inference(backward_demodulation,[],[f158,f152]) ).

fof(f152,plain,
    b = c,
    inference(resolution,[],[f132,f92]) ).

fof(f92,plain,
    product(a,b,b),
    inference(superposition,[],[f76,f23]) ).

fof(f76,plain,
    ! [X0] : product(a,b,multiply(X0,b)),
    inference(superposition,[],[f32,f23]) ).

fof(f132,plain,
    ! [X0] :
      ( ~ product(a,b,X0)
      | c = X0 ),
    inference(resolution,[],[f17,f58]) ).

fof(f58,axiom,
    product(a,b,c),
    file('/export/starexec/sandbox/tmp/tmp.E68bSxhECc/Vampire---4.8_10636',a_times_b) ).

fof(f158,plain,
    ! [X10] : product(c,a,multiply(X10,d)),
    inference(backward_demodulation,[],[f45,f149]) ).

fof(f149,plain,
    ! [X0] : c = multiply(X0,b),
    inference(resolution,[],[f132,f76]) ).

fof(f45,axiom,
    ! [X10] : product(multiply(X10,b),a,multiply(X10,d)),
    file('/export/starexec/sandbox/tmp/tmp.E68bSxhECc/Vampire---4.8_10636',clause57) ).

fof(f136,plain,
    ! [X0] :
      ( ~ product(b,a,X0)
      | d = X0 ),
    inference(resolution,[],[f17,f59]) ).

fof(f59,axiom,
    product(b,a,d),
    file('/export/starexec/sandbox/tmp/tmp.E68bSxhECc/Vampire---4.8_10636',b_times_a) ).

fof(f31,axiom,
    ! [X10,X11] : product(X10,multiply(X10,X11),multiply(X10,X11)),
    file('/export/starexec/sandbox/tmp/tmp.E68bSxhECc/Vampire---4.8_10636',clause43) ).

fof(f324,plain,
    additive_identity != d,
    inference(backward_demodulation,[],[f180,f295]) ).

fof(f295,plain,
    additive_identity = b,
    inference(resolution,[],[f236,f202]) ).

fof(f202,plain,
    product(add(a,b),b,additive_identity),
    inference(forward_demodulation,[],[f177,f22]) ).

fof(f22,axiom,
    ! [X10] : additive_identity = add(X10,X10),
    file('/export/starexec/sandbox/tmp/tmp.E68bSxhECc/Vampire---4.8_10636',clause34) ).

fof(f177,plain,
    product(add(a,b),b,add(b,b)),
    inference(backward_demodulation,[],[f53,f152]) ).

fof(f53,axiom,
    product(add(a,b),b,add(c,b)),
    file('/export/starexec/sandbox/tmp/tmp.E68bSxhECc/Vampire---4.8_10636',clause67) ).

fof(f236,plain,
    ! [X0,X1] :
      ( ~ product(X1,b,X0)
      | b = X0 ),
    inference(resolution,[],[f225,f17]) ).

fof(f225,plain,
    ! [X0] : product(X0,b,b),
    inference(superposition,[],[f31,f192]) ).

fof(f192,plain,
    ! [X0] : b = multiply(X0,b),
    inference(backward_demodulation,[],[f149,f152]) ).

fof(f180,plain,
    b != d,
    inference(backward_demodulation,[],[f60,f152]) ).

fof(f60,axiom,
    c != d,
    file('/export/starexec/sandbox/tmp/tmp.E68bSxhECc/Vampire---4.8_10636',prove_c_equals_d) ).

fof(f498,plain,
    additive_identity = a,
    inference(resolution,[],[f477,f452]) ).

fof(f452,plain,
    ! [X0] : product(X0,a,a),
    inference(backward_demodulation,[],[f261,f438]) ).

fof(f477,plain,
    ! [X0] :
      ( ~ product(a,a,X0)
      | additive_identity = X0 ),
    inference(forward_demodulation,[],[f465,f22]) ).

fof(f465,plain,
    ! [X0] :
      ( add(a,a) = X0
      | ~ product(a,a,X0) ),
    inference(backward_demodulation,[],[f344,f438]) ).

fof(f344,plain,
    ! [X0] :
      ( ~ product(a,a,X0)
      | add(a,d) = X0 ),
    inference(forward_demodulation,[],[f311,f21]) ).

fof(f21,axiom,
    ! [X10] : add(X10,additive_identity) = X10,
    file('/export/starexec/sandbox/tmp/tmp.E68bSxhECc/Vampire---4.8_10636',clause33) ).

fof(f311,plain,
    ! [X0] :
      ( ~ product(add(a,additive_identity),a,X0)
      | add(a,d) = X0 ),
    inference(backward_demodulation,[],[f120,f295]) ).

fof(f120,plain,
    ! [X0] :
      ( add(a,d) = X0
      | ~ product(add(a,b),a,X0) ),
    inference(resolution,[],[f17,f56]) ).

fof(f56,axiom,
    product(add(a,b),a,add(a,d)),
    file('/export/starexec/sandbox/tmp/tmp.E68bSxhECc/Vampire---4.8_10636',clause70) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : RNG039-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.12  % 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
% 0.11/0.32  % Computer : n002.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   : Tue Apr 30 17:50:40 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.11/0.32  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/tmp/tmp.E68bSxhECc/Vampire---4.8_10636
% 0.60/0.81  % (10749)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)
% 0.60/0.81  % (10751)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (10752)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)
% 0.60/0.81  % (10753)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)
% 0.60/0.81  % (10754)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)
% 0.60/0.81  % (10750)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)
% 0.60/0.81  % (10755)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)
% 0.60/0.81  % (10756)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)
% 0.60/0.81  % (10754)Refutation not found, incomplete strategy% (10754)------------------------------
% 0.60/0.81  % (10754)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (10754)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (10754)Memory used [KB]: 1050
% 0.60/0.81  % (10754)Time elapsed: 0.003 s
% 0.60/0.81  % (10754)Instructions burned: 3 (million)
% 0.60/0.81  % (10754)------------------------------
% 0.60/0.81  % (10754)------------------------------
% 0.60/0.81  % (10757)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)
% 0.60/0.82  % (10751)First to succeed.
% 0.60/0.82  % (10749)Instruction limit reached!
% 0.60/0.82  % (10749)------------------------------
% 0.60/0.82  % (10749)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (10749)Termination reason: Unknown
% 0.60/0.82  % (10749)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (10749)Memory used [KB]: 1176
% 0.60/0.82  % (10749)Time elapsed: 0.017 s
% 0.60/0.82  % (10749)Instructions burned: 34 (million)
% 0.60/0.82  % (10749)------------------------------
% 0.60/0.82  % (10749)------------------------------
% 0.60/0.82  % (10751)Refutation found. Thanks to Tanya!
% 0.60/0.82  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.82  % (10751)------------------------------
% 0.60/0.82  % (10751)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (10751)Termination reason: Refutation
% 0.60/0.82  
% 0.60/0.82  % (10751)Memory used [KB]: 1113
% 0.60/0.82  % (10751)Time elapsed: 0.016 s
% 0.60/0.82  % (10751)Instructions burned: 27 (million)
% 0.60/0.82  % (10751)------------------------------
% 0.60/0.82  % (10751)------------------------------
% 0.60/0.82  % (10746)Success in time 0.498 s
% 0.60/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------