TSTP Solution File: HEN004-5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HEN004-5 : TPTP v8.2.0. 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 : n025.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 : Mon May 20 21:34:27 EDT 2024

% Result   : Unsatisfiable 0.48s 0.66s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  12 unt;   0 def)
%            Number of atoms       :   31 (  30 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  13   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f309,plain,
    $false,
    inference(trivial_inequality_removal,[],[f308]) ).

fof(f308,plain,
    a != a,
    inference(superposition,[],[f7,f266]) ).

fof(f266,plain,
    ! [X0] : divide(X0,zero) = X0,
    inference(trivial_inequality_removal,[],[f248]) ).

fof(f248,plain,
    ! [X0] :
      ( zero != zero
      | divide(X0,zero) = X0 ),
    inference(superposition,[],[f16,f230]) ).

fof(f230,plain,
    ! [X0] : zero = divide(X0,divide(X0,zero)),
    inference(trivial_inequality_removal,[],[f219]) ).

fof(f219,plain,
    ! [X0] :
      ( zero != zero
      | zero = divide(X0,divide(X0,zero)) ),
    inference(superposition,[],[f18,f194]) ).

fof(f194,plain,
    ! [X0] : zero = divide(divide(X0,divide(X0,zero)),zero),
    inference(trivial_inequality_removal,[],[f183]) ).

fof(f183,plain,
    ! [X0] :
      ( zero != zero
      | zero = divide(divide(X0,divide(X0,zero)),zero) ),
    inference(superposition,[],[f18,f142]) ).

fof(f142,plain,
    ! [X0] : zero = divide(divide(divide(X0,divide(X0,zero)),zero),zero),
    inference(superposition,[],[f26,f6]) ).

fof(f6,axiom,
    ! [X0] : zero = divide(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).

fof(f26,plain,
    ! [X0,X1] : zero = divide(divide(divide(X1,X0),zero),divide(divide(X1,zero),X0)),
    inference(superposition,[],[f2,f3]) ).

fof(f3,axiom,
    ! [X0] : zero = divide(zero,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).

fof(f2,axiom,
    ! [X2,X0,X1] : zero = divide(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).

fof(f18,plain,
    ! [X0] :
      ( zero != divide(X0,zero)
      | zero = X0 ),
    inference(trivial_inequality_removal,[],[f12]) ).

fof(f12,plain,
    ! [X0] :
      ( zero != zero
      | zero = X0
      | zero != divide(X0,zero) ),
    inference(superposition,[],[f4,f3]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( zero != divide(X1,X0)
      | X0 = X1
      | divide(X0,X1) != zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',divide_and_equal) ).

fof(f16,plain,
    ! [X0,X1] :
      ( zero != divide(X0,divide(X0,X1))
      | divide(X0,X1) = X0 ),
    inference(trivial_inequality_removal,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( zero != zero
      | divide(X0,X1) = X0
      | zero != divide(X0,divide(X0,X1)) ),
    inference(superposition,[],[f4,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : divide(divide(X0,X1),X0) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).

fof(f7,axiom,
    a != divide(a,zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_x_divide_zero_is_x) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : HEN004-5 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.13  % 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
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 22:52:23 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.34  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/benchmark/theBenchmark.p
% 0.48/0.65  % (16625)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)
% 0.48/0.66  % (16618)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)
% 0.48/0.66  % (16620)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.48/0.66  % (16619)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)
% 0.48/0.66  % (16622)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)
% 0.48/0.66  % (16623)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)
% 0.48/0.66  % (16621)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)
% 0.48/0.66  % (16624)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)
% 0.48/0.66  % (16622)Refutation not found, incomplete strategy% (16622)------------------------------
% 0.48/0.66  % (16622)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.66  % (16622)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.66  
% 0.48/0.66  % (16622)Memory used [KB]: 979
% 0.48/0.66  % (16622)Time elapsed: 0.002 s
% 0.48/0.66  % (16622)Instructions burned: 2 (million)
% 0.48/0.66  % (16618)Refutation not found, incomplete strategy% (16618)------------------------------
% 0.48/0.66  % (16618)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.66  % (16618)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.66  
% 0.48/0.66  % (16618)Memory used [KB]: 981
% 0.48/0.66  % (16622)------------------------------
% 0.48/0.66  % (16622)------------------------------
% 0.48/0.66  % (16618)Time elapsed: 0.003 s
% 0.48/0.66  % (16618)Instructions burned: 3 (million)
% 0.48/0.66  % (16618)------------------------------
% 0.48/0.66  % (16618)------------------------------
% 0.48/0.66  % (16626)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)
% 0.48/0.66  % (16627)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)
% 0.48/0.66  % (16619)First to succeed.
% 0.48/0.66  % (16627)Refutation not found, incomplete strategy% (16627)------------------------------
% 0.48/0.66  % (16627)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.66  % (16627)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.66  
% 0.48/0.66  % (16627)Memory used [KB]: 967
% 0.48/0.66  % (16627)Time elapsed: 0.002 s
% 0.48/0.66  % (16627)Instructions burned: 2 (million)
% 0.48/0.66  % (16619)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16617"
% 0.48/0.66  % (16627)------------------------------
% 0.48/0.66  % (16627)------------------------------
% 0.48/0.66  % (16619)Refutation found. Thanks to Tanya!
% 0.48/0.66  % SZS status Unsatisfiable for theBenchmark
% 0.48/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 0.48/0.66  % (16619)------------------------------
% 0.48/0.66  % (16619)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.66  % (16619)Termination reason: Refutation
% 0.48/0.66  
% 0.48/0.66  % (16619)Memory used [KB]: 1090
% 0.48/0.66  % (16619)Time elapsed: 0.009 s
% 0.48/0.66  % (16619)Instructions burned: 12 (million)
% 0.48/0.66  % (16617)Success in time 0.311 s
% 0.48/0.66  % Vampire---4.8 exiting
%------------------------------------------------------------------------------