TSTP Solution File: HEN010-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HEN010-6 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.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 02:33:30 EDT 2024

% Result   : Unsatisfiable 0.68s 0.85s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   39 (  31 unt;   0 def)
%            Number of atoms       :   48 (  21 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  12   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1055,plain,
    $false,
    inference(subsumption_resolution,[],[f1054,f101]) ).

fof(f101,plain,
    ~ less_equal(sF0,sF2),
    inference(subsumption_resolution,[],[f100,f20]) ).

fof(f20,plain,
    sF0 != sF2,
    inference(definition_folding,[],[f16,f19,f18,f17,f17,f17]) ).

fof(f17,plain,
    divide(identity,a) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f18,plain,
    divide(identity,sF0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f19,plain,
    divide(sF0,sF1) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f16,axiom,
    divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
    file('/export/starexec/sandbox2/tmp/tmp.j8HNEls0Nw/Vampire---4.8_24791',prove_property_of_inversion) ).

fof(f100,plain,
    ( sF0 = sF2
    | ~ less_equal(sF0,sF2) ),
    inference(resolution,[],[f6,f27]) ).

fof(f27,plain,
    less_equal(sF2,sF0),
    inference(superposition,[],[f3,f19]) ).

fof(f3,axiom,
    ! [X0,X1] : less_equal(divide(X0,X1),X0),
    file('/export/starexec/sandbox2/tmp/tmp.j8HNEls0Nw/Vampire---4.8_24791',quotient_smaller_than_numerator) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X1,X0)
      | X0 = X1
      | ~ less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.j8HNEls0Nw/Vampire---4.8_24791',less_equal_and_equal) ).

fof(f1054,plain,
    less_equal(sF0,sF2),
    inference(forward_demodulation,[],[f1050,f786]) ).

fof(f786,plain,
    ! [X0] : divide(X0,zero) = X0,
    inference(subsumption_resolution,[],[f770,f3]) ).

fof(f770,plain,
    ! [X0] :
      ( divide(X0,zero) = X0
      | ~ less_equal(divide(X0,zero),X0) ),
    inference(resolution,[],[f757,f6]) ).

fof(f757,plain,
    ! [X0] : less_equal(X0,divide(X0,zero)),
    inference(trivial_inequality_removal,[],[f729]) ).

fof(f729,plain,
    ! [X0] :
      ( zero != zero
      | less_equal(X0,divide(X0,zero)) ),
    inference(superposition,[],[f2,f354]) ).

fof(f354,plain,
    ! [X0] : zero = divide(X0,divide(X0,zero)),
    inference(resolution,[],[f136,f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ~ less_equal(X0,zero)
      | zero = X0 ),
    inference(resolution,[],[f6,f21]) ).

fof(f21,plain,
    ! [X0] : less_equal(zero,X0),
    inference(superposition,[],[f3,f8]) ).

fof(f8,axiom,
    ! [X0] : zero = divide(X0,identity),
    file('/export/starexec/sandbox2/tmp/tmp.j8HNEls0Nw/Vampire---4.8_24791',everything_divide_id_is_zero) ).

fof(f136,plain,
    ! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),X1),
    inference(resolution,[],[f86,f12]) ).

fof(f12,axiom,
    ! [X2,X0,X1] :
      ( ~ less_equal(divide(X0,X1),X2)
      | less_equal(divide(X0,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.j8HNEls0Nw/Vampire---4.8_24791',property_of_divide1) ).

fof(f86,plain,
    ! [X0] : less_equal(X0,X0),
    inference(trivial_inequality_removal,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( zero != zero
      | less_equal(X0,X0) ),
    inference(superposition,[],[f2,f10]) ).

fof(f10,axiom,
    ! [X0] : zero = divide(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.j8HNEls0Nw/Vampire---4.8_24791',x_divide_x_is_zero) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( divide(X0,X1) != zero
      | less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.j8HNEls0Nw/Vampire---4.8_24791',quotient_less_equal2) ).

fof(f1050,plain,
    less_equal(divide(sF0,zero),sF2),
    inference(resolution,[],[f994,f12]) ).

fof(f994,plain,
    less_equal(divide(sF0,sF2),zero),
    inference(superposition,[],[f707,f186]) ).

fof(f186,plain,
    sF0 = divide(identity,sF1),
    inference(forward_demodulation,[],[f170,f18]) ).

fof(f170,plain,
    sF0 = divide(identity,divide(identity,sF0)),
    inference(superposition,[],[f15,f17]) ).

fof(f15,axiom,
    ! [X0] : divide(identity,X0) = divide(identity,divide(identity,divide(identity,X0))),
    file('/export/starexec/sandbox2/tmp/tmp.j8HNEls0Nw/Vampire---4.8_24791',one_inversion_equals_three) ).

fof(f707,plain,
    ! [X0] : less_equal(divide(divide(X0,sF1),sF2),zero),
    inference(forward_demodulation,[],[f689,f19]) ).

fof(f689,plain,
    ! [X0] : less_equal(divide(divide(X0,sF1),divide(sF0,sF1)),zero),
    inference(superposition,[],[f4,f344]) ).

fof(f344,plain,
    ! [X0] : zero = divide(divide(X0,sF0),sF1),
    inference(resolution,[],[f249,f98]) ).

fof(f249,plain,
    ! [X0] : less_equal(divide(divide(X0,sF0),sF1),zero),
    inference(forward_demodulation,[],[f248,f9]) ).

fof(f9,axiom,
    ! [X0] : zero = divide(zero,X0),
    file('/export/starexec/sandbox2/tmp/tmp.j8HNEls0Nw/Vampire---4.8_24791',zero_divide_anything_is_zero) ).

fof(f248,plain,
    ! [X0] : less_equal(divide(divide(X0,sF0),sF1),divide(zero,sF0)),
    inference(forward_demodulation,[],[f218,f8]) ).

fof(f218,plain,
    ! [X0] : less_equal(divide(divide(X0,sF0),sF1),divide(divide(X0,identity),sF0)),
    inference(superposition,[],[f4,f18]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
    file('/export/starexec/sandbox2/tmp/tmp.j8HNEls0Nw/Vampire---4.8_24791',quotient_property) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : HEN010-6 : TPTP v8.1.2. Released v1.0.0.
% 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 : n011.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 16:35:17 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.37  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.j8HNEls0Nw/Vampire---4.8_24791
% 0.65/0.82  % (24999)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)
% 0.65/0.82  % (25001)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.82  % (25002)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)
% 0.65/0.82  % (25003)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)
% 0.65/0.82  % (25004)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)
% 0.65/0.82  % (25005)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)
% 0.65/0.82  % (25006)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)
% 0.65/0.82  % (25002)Refutation not found, incomplete strategy% (25002)------------------------------
% 0.65/0.82  % (25002)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82  % (25003)Refutation not found, incomplete strategy% (25003)------------------------------
% 0.65/0.82  % (25003)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82  % (25003)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (25003)Memory used [KB]: 975
% 0.65/0.82  % (25003)Time elapsed: 0.003 s
% 0.65/0.82  % (25003)Instructions burned: 2 (million)
% 0.65/0.82  % (25003)------------------------------
% 0.65/0.82  % (25003)------------------------------
% 0.65/0.82  % (25002)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (25002)Memory used [KB]: 962
% 0.65/0.82  % (25002)Time elapsed: 0.003 s
% 0.65/0.82  % (25002)Instructions burned: 2 (million)
% 0.65/0.82  % (25002)------------------------------
% 0.65/0.82  % (25002)------------------------------
% 0.65/0.82  % (25006)Refutation not found, incomplete strategy% (25006)------------------------------
% 0.65/0.82  % (25006)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82  % (25006)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (25006)Memory used [KB]: 974
% 0.65/0.82  % (25006)Time elapsed: 0.003 s
% 0.65/0.82  % (25006)Instructions burned: 2 (million)
% 0.65/0.82  % (25006)------------------------------
% 0.65/0.82  % (25006)------------------------------
% 0.65/0.82  % (25000)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)
% 0.65/0.82  % (25004)Refutation not found, incomplete strategy% (25004)------------------------------
% 0.65/0.82  % (25004)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82  % (25004)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (25004)Memory used [KB]: 977
% 0.65/0.82  % (25004)Time elapsed: 0.003 s
% 0.65/0.82  % (25004)Instructions burned: 3 (million)
% 0.65/0.82  % (25004)------------------------------
% 0.65/0.82  % (25004)------------------------------
% 0.65/0.83  % (25007)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)
% 0.65/0.83  % (25009)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.65/0.83  % (25010)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 Vampire---4 for (2995ds/52Mi)
% 0.68/0.84  % (24999)Instruction limit reached!
% 0.68/0.84  % (24999)------------------------------
% 0.68/0.84  % (24999)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.84  % (24999)Termination reason: Unknown
% 0.68/0.84  % (24999)Termination phase: Saturation
% 0.68/0.84  
% 0.68/0.84  % (24999)Memory used [KB]: 1139
% 0.68/0.84  % (24999)Time elapsed: 0.020 s
% 0.68/0.84  % (24999)Instructions burned: 34 (million)
% 0.68/0.84  % (24999)------------------------------
% 0.68/0.84  % (24999)------------------------------
% 0.68/0.84  % (25000)Instruction limit reached!
% 0.68/0.84  % (25000)------------------------------
% 0.68/0.84  % (25000)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.84  % (25000)Termination reason: Unknown
% 0.68/0.84  % (25000)Termination phase: Saturation
% 0.68/0.84  
% 0.68/0.84  % (25000)Memory used [KB]: 1312
% 0.68/0.84  % (25000)Time elapsed: 0.020 s
% 0.68/0.84  % (25000)Instructions burned: 53 (million)
% 0.68/0.84  % (25000)------------------------------
% 0.68/0.84  % (25000)------------------------------
% 0.68/0.85  % (25008)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 (2995ds/50Mi)
% 0.68/0.85  % (25008)Refutation not found, incomplete strategy% (25008)------------------------------
% 0.68/0.85  % (25008)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.85  % (25008)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.85  
% 0.68/0.85  % (25008)Memory used [KB]: 962
% 0.68/0.85  % (25008)Time elapsed: 0.001 s
% 0.68/0.85  % (25008)Instructions burned: 2 (million)
% 0.68/0.85  % (25008)------------------------------
% 0.68/0.85  % (25008)------------------------------
% 0.68/0.85  % (25009)First to succeed.
% 0.68/0.85  % (25013)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.68/0.85  % (25009)Refutation found. Thanks to Tanya!
% 0.68/0.85  % SZS status Unsatisfiable for Vampire---4
% 0.68/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.85  % (25009)------------------------------
% 0.68/0.85  % (25009)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.85  % (25009)Termination reason: Refutation
% 0.68/0.85  
% 0.68/0.85  % (25009)Memory used [KB]: 1207
% 0.68/0.85  % (25009)Time elapsed: 0.021 s
% 0.68/0.85  % (25009)Instructions burned: 31 (million)
% 0.68/0.85  % (25009)------------------------------
% 0.68/0.85  % (25009)------------------------------
% 0.68/0.85  % (24955)Success in time 0.47 s
% 0.68/0.85  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.68/0.85  24955 Aborted by signal SIGABRT on /export/starexec/sandbox2/tmp/tmp.j8HNEls0Nw/Vampire---4.8_24791
% 0.68/0.85  % (24955)------------------------------
% 0.68/0.85  % (24955)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.85  % (24955)Termination reason: Unknown
% 0.68/0.85  % (24955)Termination phase: Unknown
% 0.68/0.85  
% 0.68/0.85  % (24955)Memory used [KB]: 450
% 0.68/0.85  % (24955)Time elapsed: 0.470 s
% 0.68/0.85  % (24955)Instructions burned: 953 (million)
% 0.68/0.85  % (24955)------------------------------
% 0.68/0.85  % (24955)------------------------------
% 0.68/0.85  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.85  ???
% 0.68/0.85   ???
% 0.68/0.85    ???
% 0.68/0.85     ???
% 0.68/0.85      ???
% 0.68/0.85       ???
% 0.68/0.85        ???
% 0.68/0.85         ???
% 0.68/0.85          ???
% 0.68/0.85           ???
% 0.68/0.85            ???
% 0.68/0.85             ???
% 0.68/0.85              ???
% 0.68/0.85               ???
% 0.68/0.85                ???
% 0.68/0.85                 ???
% 0.68/0.85                  ???
% 0.68/0.85                   ???
% 0.68/0.85                    ???
% 0.68/0.85                     ???
% 0.68/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------