TSTP Solution File: ANA027-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA027-2 : TPTP v8.2.0. Released v3.2.0.
% 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 : n021.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 18:40:10 EDT 2024

% Result   : Unsatisfiable 0.57s 0.73s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   39 (  11 unt;   0 def)
%            Number of atoms       :   77 (   1 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   80 (  42   ~;  36   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f48,plain,
    $false,
    inference(avatar_sat_refutation,[],[f29,f32,f47]) ).

fof(f47,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f46]) ).

fof(f46,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f43,f37]) ).

fof(f37,plain,
    ( c_lessequals(v_k(v_x),v_f(v_x),t_b)
    | ~ spl0_2 ),
    inference(resolution,[],[f28,f1]) ).

fof(f1,axiom,
    c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f28,plain,
    ( ! [X0,X1] :
        ( ~ c_lessequals(c_0,c_minus(X1,X0,t_b),t_b)
        | c_lessequals(X0,X1,t_b) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl0_2
  <=> ! [X0,X1] :
        ( c_lessequals(X0,X1,t_b)
        | ~ c_lessequals(c_0,c_minus(X1,X0,t_b),t_b) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f43,plain,
    ( ~ c_lessequals(v_k(v_x),v_f(v_x),t_b)
    | ~ spl0_1 ),
    inference(resolution,[],[f42,f2]) ).

fof(f2,axiom,
    c_lessequals(v_g(v_x),v_k(v_x),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f42,plain,
    ( ! [X0] :
        ( ~ c_lessequals(v_g(v_x),X0,t_b)
        | ~ c_lessequals(X0,v_f(v_x),t_b) )
    | ~ spl0_1 ),
    inference(resolution,[],[f20,f36]) ).

fof(f36,plain,
    ( ~ c_lessequals(v_g(v_x),v_f(v_x),t_b)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f35,f24]) ).

fof(f24,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(t_b)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f23,plain,
    ( spl0_1
  <=> class_OrderedGroup_Ocomm__monoid__add(t_b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f35,plain,
    ( ~ c_lessequals(v_g(v_x),v_f(v_x),t_b)
    | ~ class_OrderedGroup_Ocomm__monoid__add(t_b) ),
    inference(superposition,[],[f33,f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( c_plus(c_0,X1,X0) = X1
      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).

fof(f33,plain,
    ~ c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_f(v_x),t_b),
    inference(resolution,[],[f19,f3]) ).

fof(f3,axiom,
    ~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f19,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,c_minus(X2,X1,t_b),t_b)
      | ~ c_lessequals(c_plus(X0,X1,t_b),X2,t_b) ),
    inference(resolution,[],[f7,f16]) ).

fof(f16,plain,
    class_OrderedGroup_Opordered__ab__group__add(t_b),
    inference(resolution,[],[f14,f10]) ).

fof(f10,axiom,
    ! [X7] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
      | class_OrderedGroup_Opordered__ab__group__add(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).

fof(f14,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference(resolution,[],[f13,f4]) ).

fof(f4,axiom,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

fof(f13,axiom,
    ! [X7] :
      ( ~ class_Ring__and__Field_Oordered__idom(X7)
      | class_OrderedGroup_Olordered__ab__group__abs(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

fof(f7,axiom,
    ! [X2,X3,X0,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
      | ~ c_lessequals(c_plus(X2,X4,X0),X3,X0)
      | c_lessequals(X2,c_minus(X3,X4,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).

fof(f20,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,X2,t_b)
      | ~ c_lessequals(X1,X2,t_b)
      | ~ c_lessequals(X0,X1,t_b) ),
    inference(resolution,[],[f17,f8]) ).

fof(f8,axiom,
    ! [X0,X1,X6,X5] :
      ( ~ class_Orderings_Oorder(X0)
      | ~ c_lessequals(X6,X1,X0)
      | ~ c_lessequals(X1,X5,X0)
      | c_lessequals(X6,X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

fof(f17,plain,
    class_Orderings_Oorder(t_b),
    inference(resolution,[],[f15,f9]) ).

fof(f9,axiom,
    ! [X7] :
      ( ~ class_LOrder_Ojoin__semilorder(X7)
      | class_Orderings_Oorder(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).

fof(f15,plain,
    class_LOrder_Ojoin__semilorder(t_b),
    inference(resolution,[],[f14,f11]) ).

fof(f11,axiom,
    ! [X7] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
      | class_LOrder_Ojoin__semilorder(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).

fof(f32,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f31]) ).

fof(f31,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f30,f4]) ).

fof(f30,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_b)
    | spl0_1 ),
    inference(resolution,[],[f25,f12]) ).

fof(f12,axiom,
    ! [X7] :
      ( class_OrderedGroup_Ocomm__monoid__add(X7)
      | ~ class_Ring__and__Field_Oordered__idom(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).

fof(f25,plain,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(t_b)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f29,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f21,f27,f23]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( c_lessequals(X0,X1,t_b)
      | ~ c_lessequals(c_0,c_minus(X1,X0,t_b),t_b)
      | ~ class_OrderedGroup_Ocomm__monoid__add(t_b) ),
    inference(superposition,[],[f18,f5]) ).

fof(f18,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(c_plus(X0,X2,t_b),X1,t_b)
      | ~ c_lessequals(X0,c_minus(X1,X2,t_b),t_b) ),
    inference(resolution,[],[f16,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
      | ~ c_lessequals(X2,c_minus(X3,X4,X0),X0)
      | c_lessequals(c_plus(X2,X4,X0),X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : ANA027-2 : TPTP v8.2.0. Released v3.2.0.
% 0.10/0.13  % 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
% 0.14/0.34  % Computer : n021.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   : Mon May 20 08:00:08 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.35  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
% 0.57/0.72  % (29034)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)
% 0.57/0.73  % (29034)Refutation not found, incomplete strategy% (29034)------------------------------
% 0.57/0.73  % (29034)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (29034)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (29034)Memory used [KB]: 950
% 0.57/0.73  % (29034)Time elapsed: 0.001 s
% 0.57/0.73  % (29034)Instructions burned: 2 (million)
% 0.57/0.73  % (29034)------------------------------
% 0.57/0.73  % (29034)------------------------------
% 0.57/0.73  % (29027)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)
% 0.57/0.73  % (29029)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.73  % (29031)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)
% 0.57/0.73  % (29030)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)
% 0.57/0.73  % (29032)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)
% 0.57/0.73  % (29028)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)
% 0.57/0.73  % (29033)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)
% 0.57/0.73  % (29027)Refutation not found, incomplete strategy% (29027)------------------------------
% 0.57/0.73  % (29027)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (29030)Refutation not found, incomplete strategy% (29030)------------------------------
% 0.57/0.73  % (29030)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (29027)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (29027)Memory used [KB]: 965
% 0.57/0.73  % (29027)Time elapsed: 0.002 s
% 0.57/0.73  % (29027)Instructions burned: 2 (million)
% 0.57/0.73  % (29030)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (29030)Memory used [KB]: 950
% 0.57/0.73  % (29030)Time elapsed: 0.002 s
% 0.57/0.73  % (29030)Instructions burned: 2 (million)
% 0.57/0.73  % (29031)Refutation not found, incomplete strategy% (29031)------------------------------
% 0.57/0.73  % (29031)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (29032)Refutation not found, incomplete strategy% (29032)------------------------------
% 0.57/0.73  % (29032)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (29032)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (29032)Memory used [KB]: 954
% 0.57/0.73  % (29032)Time elapsed: 0.002 s
% 0.57/0.73  % (29032)Instructions burned: 2 (million)
% 0.57/0.73  % (29031)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73  
% 0.57/0.73  % (29027)------------------------------
% 0.57/0.73  % (29027)------------------------------
% 0.57/0.73  % (29031)Memory used [KB]: 955
% 0.57/0.73  % (29031)Time elapsed: 0.003 s
% 0.57/0.73  % (29031)Instructions burned: 2 (million)
% 0.57/0.73  % (29030)------------------------------
% 0.57/0.73  % (29030)------------------------------
% 0.57/0.73  % (29032)------------------------------
% 0.57/0.73  % (29032)------------------------------
% 0.57/0.73  % (29031)------------------------------
% 0.57/0.73  % (29031)------------------------------
% 0.57/0.73  % (29035)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)
% 0.57/0.73  % (29029)First to succeed.
% 0.57/0.73  % (29035)Also succeeded, but the first one will report.
% 0.57/0.73  % (29029)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28869"
% 0.57/0.73  % (29029)Refutation found. Thanks to Tanya!
% 0.57/0.73  % SZS status Unsatisfiable for theBenchmark
% 0.57/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.73  % (29029)------------------------------
% 0.57/0.73  % (29029)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (29029)Termination reason: Refutation
% 0.57/0.73  
% 0.57/0.73  % (29029)Memory used [KB]: 991
% 0.57/0.73  % (29029)Time elapsed: 0.005 s
% 0.57/0.73  % (29029)Instructions burned: 5 (million)
% 0.57/0.73  % (28869)Success in time 0.377 s
% 0.57/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------