TSTP Solution File: HEN003-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HEN003-4 : 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/sandbox2/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 : Mon May 20 21:34:26 EDT 2024

% Result   : Unsatisfiable 0.84s 1.02s
% Output   : Refutation 0.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   18 (  12 unt;   0 def)
%            Number of atoms       :   25 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f281,plain,
    $false,
    inference(trivial_inequality_removal,[],[f280]) ).

fof(f280,plain,
    zero != zero,
    inference(superposition,[],[f10,f179]) ).

fof(f179,plain,
    ! [X0] : zero = divide(X0,X0),
    inference(trivial_inequality_removal,[],[f166]) ).

fof(f166,plain,
    ! [X0] :
      ( zero != zero
      | zero = divide(X0,X0) ),
    inference(superposition,[],[f26,f108]) ).

fof(f108,plain,
    ! [X0] : zero = divide(divide(X0,X0),zero),
    inference(resolution,[],[f86,f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ less_equal(X0,zero)
      | zero = X0 ),
    inference(resolution,[],[f6,f5]) ).

fof(f5,axiom,
    ! [X0] : less_equal(zero,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X1,X0)
      | X0 = X1
      | ~ less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).

fof(f86,plain,
    ! [X0] : less_equal(divide(divide(X0,X0),zero),zero),
    inference(superposition,[],[f40,f9]) ).

fof(f9,axiom,
    ! [X0] : zero = divide(zero,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).

fof(f40,plain,
    ! [X0,X1] : less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
    inference(superposition,[],[f4,f15]) ).

fof(f15,plain,
    ! [X0,X1] : zero = divide(divide(X0,X1),X0),
    inference(resolution,[],[f1,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : less_equal(divide(X0,X1),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | divide(X0,X1) = zero ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal1) ).

fof(f4,axiom,
    ! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).

fof(f26,plain,
    ! [X0] :
      ( zero != divide(X0,zero)
      | zero = X0 ),
    inference(resolution,[],[f21,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( less_equal(X0,X1)
      | divide(X0,X1) != zero ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal2) ).

fof(f10,axiom,
    zero != divide(a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_x_is_zero) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : HEN003-4 : TPTP v8.2.0. Released v1.0.0.
% 0.08/0.16  % 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
% 0.15/0.38  % Computer : n002.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Sun May 19 22:48:23 EDT 2024
% 0.15/0.38  % CPUTime    : 
% 0.15/0.38  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.38  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/benchmark/theBenchmark.p
% 0.84/1.01  % (17292)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2993ds/33Mi)
% 0.84/1.01  % (17294)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2993ds/45Mi)
% 0.84/1.01  % (17291)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2993ds/78Mi)
% 0.84/1.01  % (17296)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 (2993ds/56Mi)
% 0.84/1.01  % (17295)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 (2993ds/83Mi)
% 0.84/1.01  % (17293)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 (2993ds/34Mi)
% 0.84/1.01  % (17289)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 (2993ds/34Mi)
% 0.84/1.01  % (17290)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 (2993ds/51Mi)
% 0.84/1.01  % (17294)Refutation not found, incomplete strategy% (17294)------------------------------
% 0.84/1.01  % (17294)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/1.01  % (17296)Refutation not found, incomplete strategy% (17296)------------------------------
% 0.84/1.01  % (17296)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/1.01  % (17293)Refutation not found, incomplete strategy% (17293)------------------------------
% 0.84/1.01  % (17293)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/1.01  % (17293)Termination reason: Refutation not found, incomplete strategy
% 0.84/1.01  % (17296)Termination reason: Refutation not found, incomplete strategy
% 0.84/1.01  
% 0.84/1.01  
% 0.84/1.01  % (17296)Memory used [KB]: 967
% 0.84/1.01  % (17293)Memory used [KB]: 981
% 0.84/1.01  % (17293)Time elapsed: 0.003 s
% 0.84/1.01  % (17296)Time elapsed: 0.003 s
% 0.84/1.01  % (17293)Instructions burned: 2 (million)
% 0.84/1.01  % (17296)Instructions burned: 2 (million)
% 0.84/1.01  % (17294)Termination reason: Refutation not found, incomplete strategy
% 0.84/1.01  
% 0.84/1.01  % (17294)Memory used [KB]: 967
% 0.84/1.01  % (17294)Time elapsed: 0.004 s
% 0.84/1.01  % (17294)Instructions burned: 2 (million)
% 0.84/1.01  % (17289)Refutation not found, incomplete strategy% (17289)------------------------------
% 0.84/1.01  % (17289)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/1.01  % (17289)Termination reason: Refutation not found, incomplete strategy
% 0.84/1.01  
% 0.84/1.01  % (17289)Memory used [KB]: 997
% 0.84/1.01  % (17289)Time elapsed: 0.003 s
% 0.84/1.01  % (17296)------------------------------
% 0.84/1.01  % (17296)------------------------------
% 0.84/1.01  % (17293)------------------------------
% 0.84/1.01  % (17293)------------------------------
% 0.84/1.01  % (17289)Instructions burned: 2 (million)
% 0.84/1.01  % (17294)------------------------------
% 0.84/1.01  % (17294)------------------------------
% 0.84/1.01  % (17289)------------------------------
% 0.84/1.01  % (17289)------------------------------
% 0.84/1.02  % (17298)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 (2993ds/50Mi)
% 0.84/1.02  % (17299)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2993ds/208Mi)
% 0.84/1.02  % (17300)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 theBenchmark for (2993ds/52Mi)
% 0.84/1.02  % (17297)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 (2993ds/55Mi)
% 0.84/1.02  % (17298)Refutation not found, incomplete strategy% (17298)------------------------------
% 0.84/1.02  % (17298)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/1.02  % (17298)Termination reason: Refutation not found, incomplete strategy
% 0.84/1.02  
% 0.84/1.02  % (17298)Memory used [KB]: 968
% 0.84/1.02  % (17298)Time elapsed: 0.002 s
% 0.84/1.02  % (17298)Instructions burned: 2 (million)
% 0.84/1.02  % (17298)------------------------------
% 0.84/1.02  % (17298)------------------------------
% 0.84/1.02  % (17291)First to succeed.
% 0.84/1.02  % (17291)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17288"
% 0.84/1.02  % (17291)Refutation found. Thanks to Tanya!
% 0.84/1.02  % SZS status Unsatisfiable for theBenchmark
% 0.84/1.02  % SZS output start Proof for theBenchmark
% See solution above
% 0.84/1.02  % (17291)------------------------------
% 0.84/1.02  % (17291)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.84/1.02  % (17291)Termination reason: Refutation
% 0.84/1.02  
% 0.84/1.02  % (17291)Memory used [KB]: 1092
% 0.84/1.02  % (17291)Time elapsed: 0.010 s
% 0.84/1.02  % (17291)Instructions burned: 13 (million)
% 0.84/1.02  % (17288)Success in time 0.635 s
% 0.84/1.02  % Vampire---4.8 exiting
%------------------------------------------------------------------------------