TSTP Solution File: GRP046-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP046-2 : 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 : n032.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 05:44:29 EDT 2024

% Result   : Unsatisfiable 0.45s 0.69s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   32 (  20   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f103,plain,
    $false,
    inference(subsumption_resolution,[],[f98,f8]) ).

fof(f8,axiom,
    equalish(a,b),
    file('/export/starexec/sandbox/tmp/tmp.wkQwznwNIz/Vampire---4.8_20478',a_equals_b) ).

fof(f98,plain,
    ~ equalish(a,b),
    inference(resolution,[],[f90,f1]) ).

fof(f1,axiom,
    ! [X0] : product(identity,X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.wkQwznwNIz/Vampire---4.8_20478',left_identity) ).

fof(f90,plain,
    ! [X0] :
      ( ~ product(identity,a,X0)
      | ~ equalish(X0,b) ),
    inference(resolution,[],[f81,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( product(X3,X2,X1)
      | ~ product(X3,X2,X0)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.wkQwznwNIz/Vampire---4.8_20478',product_substitution3) ).

fof(f81,plain,
    ~ product(identity,a,b),
    inference(resolution,[],[f51,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : product(X0,X1,multiply(X0,X1)),
    file('/export/starexec/sandbox/tmp/tmp.wkQwznwNIz/Vampire---4.8_20478',total_function1) ).

fof(f51,plain,
    ! [X0] :
      ( ~ product(X0,c,multiply(a,c))
      | ~ product(identity,X0,b) ),
    inference(resolution,[],[f18,f1]) ).

fof(f18,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,X1,multiply(a,c))
      | ~ product(X2,c,X1)
      | ~ product(X0,X2,b) ),
    inference(resolution,[],[f13,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( product(X4,X2,X3)
      | ~ product(X0,X5,X3)
      | ~ product(X1,X2,X5)
      | ~ product(X0,X1,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.wkQwznwNIz/Vampire---4.8_20478',associativity2) ).

fof(f13,plain,
    ~ product(b,c,multiply(a,c)),
    inference(resolution,[],[f10,f3]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,multiply(b,c))
      | ~ product(X0,X1,multiply(a,c)) ),
    inference(resolution,[],[f9,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( equalish(X2,X3)
      | ~ product(X0,X1,X3)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.wkQwznwNIz/Vampire---4.8_20478',total_function2) ).

fof(f9,axiom,
    ~ equalish(multiply(a,c),multiply(b,c)),
    file('/export/starexec/sandbox/tmp/tmp.wkQwznwNIz/Vampire---4.8_20478',prove_multiply_substitution1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : GRP046-2 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.12  % 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
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 20:53:22 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.10/0.32  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.wkQwznwNIz/Vampire---4.8_20478
% 0.45/0.69  % (20588)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.45/0.69  % (20591)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)
% 0.45/0.69  % (20589)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)
% 0.45/0.69  % (20586)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)
% 0.45/0.69  % (20590)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)
% 0.45/0.69  % (20587)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)
% 0.45/0.69  % (20592)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)
% 0.45/0.69  % (20593)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)
% 0.45/0.69  % (20591)Refutation not found, incomplete strategy% (20591)------------------------------
% 0.45/0.69  % (20591)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.45/0.69  % (20591)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.69  
% 0.45/0.69  % (20591)Memory used [KB]: 954
% 0.45/0.69  % (20591)Time elapsed: 0.002 s
% 0.45/0.69  % (20591)Instructions burned: 2 (million)
% 0.45/0.69  % (20591)------------------------------
% 0.45/0.69  % (20591)------------------------------
% 0.45/0.69  % (20592)Refutation not found, incomplete strategy% (20592)------------------------------
% 0.45/0.69  % (20592)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.45/0.69  % (20592)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.69  
% 0.45/0.69  % (20592)Memory used [KB]: 964
% 0.45/0.69  % (20592)Time elapsed: 0.003 s
% 0.45/0.69  % (20592)Instructions burned: 3 (million)
% 0.45/0.69  % (20592)------------------------------
% 0.45/0.69  % (20592)------------------------------
% 0.45/0.69  % (20594)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)
% 0.45/0.69  % (20595)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)
% 0.45/0.69  % (20594)Refutation not found, incomplete strategy% (20594)------------------------------
% 0.45/0.69  % (20594)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.45/0.69  % (20590)First to succeed.
% 0.45/0.69  % (20594)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.69  
% 0.45/0.69  % (20594)Memory used [KB]: 960
% 0.45/0.69  % (20594)Time elapsed: 0.002 s
% 0.45/0.69  % (20594)Instructions burned: 2 (million)
% 0.45/0.69  % (20594)------------------------------
% 0.45/0.69  % (20594)------------------------------
% 0.45/0.69  % (20590)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20585"
% 0.45/0.69  % (20590)Refutation found. Thanks to Tanya!
% 0.45/0.69  % SZS status Unsatisfiable for Vampire---4
% 0.45/0.69  % SZS output start Proof for Vampire---4
% See solution above
% 0.45/0.69  % (20590)------------------------------
% 0.45/0.69  % (20590)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.45/0.69  % (20590)Termination reason: Refutation
% 0.45/0.69  
% 0.45/0.69  % (20590)Memory used [KB]: 1069
% 0.45/0.69  % (20590)Time elapsed: 0.007 s
% 0.45/0.69  % (20590)Instructions burned: 12 (million)
% 0.45/0.69  % (20585)Success in time 0.373 s
% 0.45/0.69  % Vampire---4.8 exiting
%------------------------------------------------------------------------------