TSTP Solution File: KLE005+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE005+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : 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 : Wed May  1 03:02:35 EDT 2024

% Result   : Theorem 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   36 (  10 unt;   0 def)
%            Number of atoms       :   85 (  41 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   80 (  31   ~;  27   |;  11   &)
%                                         (   7 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f101,plain,
    $false,
    inference(avatar_sat_refutation,[],[f83,f88,f100]) ).

fof(f100,plain,
    spl1_1,
    inference(avatar_contradiction_clause,[],[f99]) ).

fof(f99,plain,
    ( $false
    | spl1_1 ),
    inference(resolution,[],[f78,f57]) ).

fof(f57,plain,
    test(one),
    inference(trivial_inequality_removal,[],[f56]) ).

fof(f56,plain,
    ( zero != zero
    | test(one) ),
    inference(superposition,[],[f54,f53]) ).

fof(f53,plain,
    ! [X0] :
      ( zero = c(X0)
      | test(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( zero = c(X0)
      | test(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( ~ test(X0)
     => zero = c(X0) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] :
      ( ~ test(X3)
     => zero = c(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.63jNECmBjJ/Vampire---4.8_24189',test_4) ).

fof(f54,plain,
    zero != c(one),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    zero != c(one),
    inference(flattening,[],[f18]) ).

fof(f18,negated_conjecture,
    zero != c(one),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    zero = c(one),
    file('/export/starexec/sandbox2/tmp/tmp.63jNECmBjJ/Vampire---4.8_24189',goals) ).

fof(f78,plain,
    ( ~ test(one)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f76,plain,
    ( spl1_1
  <=> test(one) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f88,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f87]) ).

fof(f87,plain,
    ( $false
    | ~ spl1_2 ),
    inference(trivial_inequality_removal,[],[f84]) ).

fof(f84,plain,
    ( zero != zero
    | ~ spl1_2 ),
    inference(superposition,[],[f54,f82]) ).

fof(f82,plain,
    ( zero = c(one)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl1_2
  <=> zero = c(one) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f83,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f74,f80,f76]) ).

fof(f74,plain,
    ( zero = c(one)
    | ~ test(one) ),
    inference(resolution,[],[f70,f55]) ).

fof(f55,plain,
    ! [X0] :
      ( complement(X0,c(X0))
      | ~ test(X0) ),
    inference(equality_resolution,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( complement(X0,X1)
      | c(X0) != X1
      | ~ test(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( ( c(X0) = X1
          | ~ complement(X0,X1) )
        & ( complement(X0,X1)
          | c(X0) != X1 ) )
      | ~ test(X0) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( c(X0) = X1
      <=> complement(X0,X1) )
      | ~ test(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( test(X0)
     => ( c(X0) = X1
      <=> complement(X0,X1) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3,X4] :
      ( test(X3)
     => ( c(X3) = X4
      <=> complement(X3,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.63jNECmBjJ/Vampire---4.8_24189',test_3) ).

fof(f70,plain,
    ! [X0] :
      ( ~ complement(one,X0)
      | zero = X0 ),
    inference(superposition,[],[f47,f39]) ).

fof(f39,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.63jNECmBjJ/Vampire---4.8_24189',multiplicative_right_identity) ).

fof(f47,plain,
    ! [X0,X1] :
      ( zero = multiplication(X0,X1)
      | ~ complement(X1,X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( complement(X1,X0)
        | addition(X0,X1) != one
        | zero != multiplication(X1,X0)
        | zero != multiplication(X0,X1) )
      & ( ( addition(X0,X1) = one
          & zero = multiplication(X1,X0)
          & zero = multiplication(X0,X1) )
        | ~ complement(X1,X0) ) ),
    inference(flattening,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ( complement(X1,X0)
        | addition(X0,X1) != one
        | zero != multiplication(X1,X0)
        | zero != multiplication(X0,X1) )
      & ( ( addition(X0,X1) = one
          & zero = multiplication(X1,X0)
          & zero = multiplication(X0,X1) )
        | ~ complement(X1,X0) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( complement(X1,X0)
    <=> ( addition(X0,X1) = one
        & zero = multiplication(X1,X0)
        & zero = multiplication(X0,X1) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X4] :
      ( complement(X4,X3)
    <=> ( one = addition(X3,X4)
        & zero = multiplication(X4,X3)
        & zero = multiplication(X3,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.63jNECmBjJ/Vampire---4.8_24189',test_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KLE005+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n025.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:55:11 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.63jNECmBjJ/Vampire---4.8_24189
% 0.59/0.74  % (24369)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)
% 0.59/0.74  % (24376)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)
% 0.59/0.74  % (24376)Refutation not found, incomplete strategy% (24376)------------------------------
% 0.59/0.74  % (24376)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.74  % (24376)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (24376)Memory used [KB]: 977
% 0.59/0.74  % (24376)Time elapsed: 0.001 s
% 0.59/0.74  % (24376)Instructions burned: 3 (million)
% 0.59/0.74  % (24376)------------------------------
% 0.59/0.74  % (24376)------------------------------
% 0.59/0.74  % (24369)Refutation not found, incomplete strategy% (24369)------------------------------
% 0.59/0.74  % (24369)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.74  % (24369)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (24369)Memory used [KB]: 990
% 0.59/0.74  % (24369)Time elapsed: 0.002 s
% 0.59/0.74  % (24369)Instructions burned: 3 (million)
% 0.59/0.74  % (24369)------------------------------
% 0.59/0.74  % (24369)------------------------------
% 0.59/0.74  % (24370)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)
% 0.59/0.75  % (24372)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)
% 0.59/0.75  % (24374)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)
% 0.59/0.75  % (24373)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)
% 0.59/0.75  % (24371)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (24375)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)
% 0.59/0.75  % (24372)Refutation not found, incomplete strategy% (24372)------------------------------
% 0.59/0.75  % (24372)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (24372)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (24372)Memory used [KB]: 973
% 0.59/0.75  % (24372)Time elapsed: 0.003 s
% 0.59/0.75  % (24372)Instructions burned: 2 (million)
% 0.59/0.75  % (24373)Refutation not found, incomplete strategy% (24373)------------------------------
% 0.59/0.75  % (24373)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (24372)------------------------------
% 0.59/0.75  % (24372)------------------------------
% 0.59/0.75  % (24373)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (24373)Memory used [KB]: 1054
% 0.59/0.75  % (24373)Time elapsed: 0.003 s
% 0.59/0.75  % (24373)Instructions burned: 3 (million)
% 0.59/0.75  % (24373)------------------------------
% 0.59/0.75  % (24373)------------------------------
% 0.59/0.75  % (24377)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)
% 0.59/0.75  % (24378)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)
% 0.59/0.75  % (24370)First to succeed.
% 0.59/0.75  % (24377)Refutation not found, incomplete strategy% (24377)------------------------------
% 0.59/0.75  % (24377)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (24378)Refutation not found, incomplete strategy% (24378)------------------------------
% 0.59/0.75  % (24378)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (24377)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (24377)Memory used [KB]: 973
% 0.59/0.75  % (24377)Time elapsed: 0.002 s
% 0.59/0.75  % (24377)Instructions burned: 3 (million)
% 0.59/0.75  % (24377)------------------------------
% 0.59/0.75  % (24377)------------------------------
% 0.59/0.75  % (24378)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (24378)Memory used [KB]: 975
% 0.59/0.75  % (24378)Time elapsed: 0.001 s
% 0.59/0.75  % (24378)Instructions burned: 3 (million)
% 0.59/0.75  % (24378)------------------------------
% 0.59/0.75  % (24378)------------------------------
% 0.59/0.75  % (24370)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Theorem for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (24370)------------------------------
% 0.59/0.75  % (24370)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (24370)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (24370)Memory used [KB]: 1084
% 0.59/0.75  % (24370)Time elapsed: 0.005 s
% 0.59/0.75  % (24370)Instructions burned: 5 (million)
% 0.59/0.75  % (24370)------------------------------
% 0.59/0.75  % (24370)------------------------------
% 0.59/0.75  % (24355)Success in time 0.382 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------