TSTP Solution File: SWW294+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW294+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n003.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 Jun 24 18:31:55 EDT 2024

% Result   : ContradictoryAxioms 8.61s 1.90s
% Output   : Refutation 8.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   40 (  15 unt;   0 def)
%            Number of atoms       :  102 (   7 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  105 (  43   ~;  34   |;  12   &)
%                                         (   6 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :   94 (  85   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f32065,plain,
    $false,
    inference(resolution,[],[f31707,f16533]) ).

fof(f16533,plain,
    class_Finite__Set_Ofinite(tc_String_Onibble),
    inference(cnf_transformation,[],[f5141]) ).

fof(f5141,axiom,
    class_Finite__Set_Ofinite(tc_String_Onibble),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f31707,plain,
    ! [X0] : ~ class_Finite__Set_Ofinite(X0),
    inference(resolution,[],[f31633,f18041]) ).

fof(f18041,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(cnf_transformation,[],[f10802]) ).

fof(f10802,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(ennf_transformation,[],[f6379]) ).

fof(f6379,plain,
    ! [X0,X1] :
      ( class_Finite__Set_Ofinite(X1)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) ),
    inference(rectify,[],[f2506]) ).

fof(f2506,axiom,
    ! [X148,X6] :
      ( class_Finite__Set_Ofinite(X6)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X6),X148)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f31633,plain,
    ! [X0] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
    inference(resolution,[],[f31607,f21403]) ).

fof(f21403,plain,
    ! [X2,X3,X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X3,X1,X0),X2)))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)) ),
    inference(cnf_transformation,[],[f13079]) ).

fof(f13079,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X3,X1,X0),X2)))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)) ),
    inference(ennf_transformation,[],[f8781]) ).

fof(f8781,plain,
    ! [X0,X1,X2,X3] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X3,X1,X0),X2))) ),
    inference(rectify,[],[f2502]) ).

fof(f2502,axiom,
    ! [X199,X104,X214,X6] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X6),X214))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X104),hAPP(c_Set_Oimage(X6,X104,X199),X214))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f31607,plain,
    ! [X0] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(X0,tc_Nat_Onat,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))))),
    inference(resolution,[],[f31316,f20783]) ).

fof(f20783,plain,
    ! [X2,X3,X0,X1] : hBOOL(hAPP(hAPP(c_member(X3),hAPP(X2,X1)),hAPP(c_Set_Oimage(X0,X3,X2),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))))),
    inference(cnf_transformation,[],[f8219]) ).

fof(f8219,plain,
    ! [X0,X1,X2,X3] : hBOOL(hAPP(hAPP(c_member(X3),hAPP(X2,X1)),hAPP(c_Set_Oimage(X0,X3,X2),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))))),
    inference(rectify,[],[f2724]) ).

fof(f2724,axiom,
    ! [X104,X5,X1,X6] : hBOOL(hAPP(hAPP(c_member(X6),hAPP(X1,X5)),hAPP(c_Set_Oimage(X104,X6,X1),c_Orderings_Otop__class_Otop(tc_fun(X104,tc_HOL_Obool))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f31316,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Nat_OSuc,sK22(X0))),X0))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ),
    inference(resolution,[],[f17080,f29710]) ).

fof(f29710,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(subsumption_resolution,[],[f29699,f16502]) ).

fof(f16502,plain,
    class_Orderings_Olinorder(tc_Nat_Onat),
    inference(cnf_transformation,[],[f5105]) ).

fof(f5105,axiom,
    class_Orderings_Olinorder(tc_Nat_Onat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f29699,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0))
      | ~ class_Orderings_Olinorder(tc_Nat_Onat) ),
    inference(resolution,[],[f19687,f16780]) ).

fof(f16780,plain,
    ! [X0] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),hAPP(c_Nat_OSuc,X0))),
    inference(cnf_transformation,[],[f5321]) ).

fof(f5321,plain,
    ! [X0] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),hAPP(c_Nat_OSuc,X0))),
    inference(rectify,[],[f286]) ).

fof(f286,axiom,
    ! [X32] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X32),hAPP(c_Nat_OSuc,X32))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f19687,plain,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),X1),X0))
      | ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),X0),X1))
      | ~ class_Orderings_Olinorder(X2) ),
    inference(cnf_transformation,[],[f15042]) ).

fof(f15042,plain,
    ! [X0,X1,X2] :
      ( ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),X1),X0))
          | ( X0 != X1
            & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),X0),X1)) ) )
        & ( X0 = X1
          | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),X0),X1))
          | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),X1),X0)) ) )
      | ~ class_Orderings_Olinorder(X2) ),
    inference(flattening,[],[f15041]) ).

fof(f15041,plain,
    ! [X0,X1,X2] :
      ( ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),X1),X0))
          | ( X0 != X1
            & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),X0),X1)) ) )
        & ( X0 = X1
          | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),X0),X1))
          | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),X1),X0)) ) )
      | ~ class_Orderings_Olinorder(X2) ),
    inference(nnf_transformation,[],[f11823]) ).

fof(f11823,plain,
    ! [X0,X1,X2] :
      ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),X1),X0))
      <=> ( X0 = X1
          | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),X0),X1)) ) )
      | ~ class_Orderings_Olinorder(X2) ),
    inference(ennf_transformation,[],[f7571]) ).

fof(f7571,plain,
    ! [X0,X1,X2] :
      ( class_Orderings_Olinorder(X2)
     => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),X1),X0))
      <=> ( X0 = X1
          | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X2),X0),X1)) ) ) ),
    inference(rectify,[],[f404]) ).

fof(f404,axiom,
    ! [X126,X5,X6] :
      ( class_Orderings_Olinorder(X6)
     => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X6),X5),X126))
      <=> ( X5 = X126
          | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(X6),X126),X5)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f17080,plain,
    ! [X0,X4] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),sK22(X0)))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ),
    inference(cnf_transformation,[],[f14367]) ).

fof(f14367,plain,
    ! [X0] :
      ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0))
        | ! [X1] :
            ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),sK21(X0,X1)),X1))
            & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK21(X0,X1)),X0)) ) )
      & ( ! [X4] :
            ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),sK22(X0)))
            | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0)) )
        | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f14364,f14366,f14365]) ).

fof(f14365,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1))
          & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0)) )
     => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),sK21(X0,X1)),X1))
        & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK21(X0,X1)),X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f14366,plain,
    ! [X0] :
      ( ? [X3] :
        ! [X4] :
          ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X3))
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0)) )
     => ! [X4] :
          ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),sK22(X0)))
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f14364,plain,
    ! [X0] :
      ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0))
        | ! [X1] :
          ? [X2] :
            ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1))
            & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0)) ) )
      & ( ? [X3] :
          ! [X4] :
            ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X4),X3))
            | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0)) )
        | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ) ),
    inference(rectify,[],[f14363]) ).

fof(f14363,plain,
    ! [X0] :
      ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0))
        | ! [X1] :
          ? [X2] :
            ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1))
            & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0)) ) )
      & ( ? [X1] :
          ! [X2] :
            ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1))
            | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0)) )
        | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ) ),
    inference(nnf_transformation,[],[f10410]) ).

fof(f10410,plain,
    ! [X0] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0))
    <=> ? [X1] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1))
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0)) ) ),
    inference(ennf_transformation,[],[f5593]) ).

fof(f5593,plain,
    ! [X0] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0))
    <=> ? [X1] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0))
         => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X1)) ) ),
    inference(rectify,[],[f2476]) ).

fof(f2476,axiom,
    ! [X213] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X213))
    <=> ? [X115] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X213))
         => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X115)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWW294+1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.11  % Command    : run_vampire %s %d THM
% 0.10/0.31  % Computer : n003.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Wed Jun 19 07:09:24 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.16/0.33  This is a FOF_CAX_RFO_SEQ problem
% 0.16/0.33  Running first-order theorem proving
% 0.16/0.33  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.69  % (13433)Running in auto input_syntax mode. Trying TPTP
% 0.46/0.69  % (13437)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.46/0.70  % (13433)Running in auto input_syntax mode. Trying TPTP
% 0.46/0.70  % (13436)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.46/0.70  % (13433)Running in auto input_syntax mode. Trying TPTP
% 0.46/0.70  % (13438)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.46/0.70  % (13433)Running in auto input_syntax mode. Trying TPTP
% 0.46/0.70  % (13440)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.46/0.70  % (13433)Running in auto input_syntax mode. Trying TPTP
% 0.46/0.70  % (13439)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.46/0.70  % (13433)Running in auto input_syntax mode. Trying TPTP
% 0.46/0.70  % (13435)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.46/0.71  % (13433)Running in auto input_syntax mode. Trying TPTP
% 0.46/0.71  % (13434)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.46/0.72  % (13438)Refutation not found, incomplete strategy% (13438)------------------------------
% 0.46/0.72  % (13438)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.46/0.72  % (13438)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.46/0.72  % (13438)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.72  
% 0.46/0.72  % (13438)Memory used [KB]: 5939
% 0.46/0.72  % (13438)Time elapsed: 0.025 s
% 0.46/0.72  % (13438)Instructions burned: 39 (million)
% 0.46/0.72  % (13438)------------------------------
% 0.46/0.72  % (13438)------------------------------
% 0.54/0.78  % (13433)Running in auto input_syntax mode. Trying TPTP
% 0.54/0.78  % (13441)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2999ds/125Mi)
% 0.54/0.82  % (13440)Refutation not found, incomplete strategy% (13440)------------------------------
% 0.54/0.82  % (13440)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.54/0.82  % (13440)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.54/0.82  % (13440)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.82  
% 0.54/0.82  % (13440)Memory used [KB]: 8919
% 0.54/0.82  % (13440)Time elapsed: 0.127 s
% 0.54/0.82  % (13440)Instructions burned: 260 (million)
% 0.54/0.82  % (13440)------------------------------
% 0.54/0.82  % (13440)------------------------------
% 0.54/0.84  % (13439)Instruction limit reached!
% 0.54/0.84  % (13439)------------------------------
% 0.54/0.84  % (13439)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.54/0.84  % (13439)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.54/0.84  % (13439)Termination reason: Time limit
% 0.54/0.84  % (13439)Termination phase: Saturation
% 0.54/0.84  
% 0.54/0.84  % (13439)Memory used [KB]: 6461
% 0.54/0.84  % (13439)Time elapsed: 0.160 s
% 0.54/0.84  % (13439)Instructions burned: 348 (million)
% 0.54/0.84  % (13441)Instruction limit reached!
% 0.54/0.84  % (13441)------------------------------
% 0.54/0.84  % (13441)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.54/0.84  % (13441)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.54/0.84  % (13441)Termination reason: Time limit
% 0.54/0.84  % (13441)Termination phase: Saturation
% 0.54/0.84  
% 0.54/0.84  % (13441)Memory used [KB]: 6967
% 0.54/0.84  % (13441)Time elapsed: 0.065 s
% 0.54/0.84  % (13441)Instructions burned: 125 (million)
% 1.01/0.86  % (13433)Running in auto input_syntax mode. Trying TPTP
% 1.01/0.86  % (13442)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2997ds/402Mi)
% 1.01/0.90  % (13433)Running in auto input_syntax mode. Trying TPTP
% 1.01/0.90  % (13444)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2997ds/267Mi)
% 1.01/0.90  % (13433)Running in auto input_syntax mode. Trying TPTP
% 1.01/0.90  % (13443)lrs+2_5:1_sil=2000:sos=on:acc=on:urr=on:alpa=false:i=325:sd=1:bd=off:nm=32:ss=axioms:br=off:sup=off:bs=on_0 on theBenchmark for (2997ds/325Mi)
% 1.01/0.96  % (13442)Instruction limit reached!
% 1.01/0.96  % (13442)------------------------------
% 1.01/0.96  % (13442)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.01/0.96  % (13442)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.01/0.96  % (13442)Termination reason: Time limit
% 1.01/0.96  % (13442)Termination phase: Function definition elimination
% 1.01/0.96  
% 1.01/0.96  % (13442)Memory used [KB]: 14623
% 1.01/0.96  % (13442)Time elapsed: 0.107 s
% 1.01/0.96  % (13442)Instructions burned: 404 (million)
% 1.15/1.00  % (13433)Running in auto input_syntax mode. Trying TPTP
% 1.15/1.00  % (13445)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=156:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on theBenchmark for (2996ds/156Mi)
% 1.15/1.01  % (13444)Instruction limit reached!
% 1.15/1.01  % (13444)------------------------------
% 1.15/1.01  % (13444)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.15/1.01  % (13444)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.15/1.01  % (13444)Termination reason: Time limit
% 1.15/1.01  % (13444)Termination phase: Saturation
% 1.15/1.01  
% 1.15/1.01  % (13444)Memory used [KB]: 6669
% 1.15/1.01  % (13444)Time elapsed: 0.110 s
% 1.15/1.01  % (13444)Instructions burned: 269 (million)
% 1.15/1.03  % (13443)Instruction limit reached!
% 1.15/1.03  % (13443)------------------------------
% 1.15/1.03  % (13443)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.15/1.03  % (13443)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.15/1.03  % (13443)Termination reason: Time limit
% 1.15/1.03  % (13443)Termination phase: Saturation
% 1.15/1.03  
% 1.15/1.03  % (13443)Memory used [KB]: 7078
% 1.15/1.03  % (13443)Time elapsed: 0.138 s
% 1.15/1.03  % (13443)Instructions burned: 325 (million)
% 1.51/1.05  % (13445)Instruction limit reached!
% 1.51/1.05  % (13445)------------------------------
% 1.51/1.05  % (13445)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.51/1.05  % (13445)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.51/1.05  % (13445)Termination reason: Time limit
% 1.51/1.05  % (13445)Termination phase: Saturation
% 1.51/1.05  
% 1.51/1.05  % (13445)Memory used [KB]: 6815
% 1.51/1.05  % (13445)Time elapsed: 0.048 s
% 1.51/1.05  % (13445)Instructions burned: 157 (million)
% 1.51/1.06  % (13433)Running in auto input_syntax mode. Trying TPTP
% 1.51/1.06  % (13446)dis+1011_1:1_to=lpo:sil=4000:sp=const_max:sos=all:spb=goal:st=1.5:i=200:av=off:ss=axioms:sfv=off:bd=off:sd=2:fd=off_0 on theBenchmark for (2996ds/200Mi)
% 1.51/1.08  % (13433)Running in auto input_syntax mode. Trying TPTP
% 1.51/1.08  % (13448)lrs+1002_1:8_sil=4000:sos=on:nicw=on:st=2.5:i=1027:ss=included:sd=7:ep=RS:erd=off_0 on theBenchmark for (2995ds/1027Mi)
% 3.41/1.09  % (13433)Running in auto input_syntax mode. Trying TPTP
% 3.41/1.09  % (13447)dis-1010_1:4_sil=2000:tgt=ground:fd=off:i=203:sd=1:nm=4:av=off:ss=axioms:sgt=64:newcnf=on_0 on theBenchmark for (2995ds/203Mi)
% 3.78/1.15  % (13446)Instruction limit reached!
% 3.78/1.15  % (13446)------------------------------
% 3.78/1.15  % (13446)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.78/1.15  % (13446)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.78/1.15  % (13446)Termination reason: Time limit
% 3.78/1.15  % (13446)Termination phase: Saturation
% 3.78/1.15  
% 3.78/1.15  % (13446)Memory used [KB]: 7169
% 3.78/1.15  % (13446)Time elapsed: 0.097 s
% 3.78/1.15  % (13446)Instructions burned: 200 (million)
% 3.78/1.16  % (13447)Instruction limit reached!
% 3.78/1.16  % (13447)------------------------------
% 3.78/1.16  % (13447)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.78/1.16  % (13447)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.78/1.16  % (13447)Termination reason: Time limit
% 3.78/1.16  % (13447)Termination phase: Saturation
% 3.78/1.16  
% 3.78/1.16  % (13447)Memory used [KB]: 7206
% 3.78/1.16  % (13447)Time elapsed: 0.071 s
% 3.78/1.16  % (13447)Instructions burned: 205 (million)
% 3.99/1.21  % (13433)Running in auto input_syntax mode. Trying TPTP
% 3.99/1.21  % (13450)lrs+10_8:1_bsr=unit_only:sil=4000:urr=on:lcm=reverse:rp=on:i=426:sd=1:nm=6:av=off:ss=included:sup=off:sos=on_0 on theBenchmark for (2994ds/426Mi)
% 3.99/1.22  % (13433)Running in auto input_syntax mode. Trying TPTP
% 3.99/1.22  % (13449)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=316:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2994ds/316Mi)
% 4.45/1.28  % (13449)Refutation not found, incomplete strategy% (13449)------------------------------
% 4.45/1.28  % (13449)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.45/1.28  % (13449)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.45/1.28  % (13449)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.28  
% 4.45/1.28  % (13449)Memory used [KB]: 6986
% 4.45/1.28  % (13449)Time elapsed: 0.060 s
% 4.45/1.28  % (13449)Instructions burned: 109 (million)
% 4.45/1.28  % (13449)------------------------------
% 4.45/1.28  % (13449)------------------------------
% 4.90/1.33  % (13450)Instruction limit reached!
% 4.90/1.33  % (13450)------------------------------
% 4.90/1.33  % (13450)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.90/1.33  % (13450)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.90/1.33  % (13450)Termination reason: Time limit
% 4.90/1.33  % (13450)Termination phase: Function definition elimination
% 4.90/1.33  
% 4.90/1.33  % (13450)Memory used [KB]: 14569
% 4.90/1.33  % (13450)Time elapsed: 0.125 s
% 4.90/1.33  % (13450)Instructions burned: 426 (million)
% 4.90/1.34  % (13433)Running in auto input_syntax mode. Trying TPTP
% 4.90/1.34  % (13451)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=260:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2993ds/260Mi)
% 5.29/1.38  % (13433)Running in auto input_syntax mode. Trying TPTP
% 5.29/1.38  % (13452)lrs+2_1:1_drc=encompass:sil=2000:urr=on:nwc=10.0:i=160:sd=3:fsr=off:ss=axioms:fd=preordered:bd=off:sup=off_0 on theBenchmark for (2992ds/160Mi)
% 5.65/1.45  % (13452)Instruction limit reached!
% 5.65/1.45  % (13452)------------------------------
% 5.65/1.45  % (13452)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.65/1.45  % (13452)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.65/1.45  % (13452)Termination reason: Time limit
% 5.65/1.45  % (13452)Termination phase: Saturation
% 5.65/1.45  
% 5.65/1.45  % (13452)Memory used [KB]: 7111
% 5.65/1.45  % (13452)Time elapsed: 0.074 s
% 5.65/1.45  % (13452)Instructions burned: 161 (million)
% 5.65/1.46  % (13448)Refutation not found, incomplete strategy% (13448)------------------------------
% 5.65/1.46  % (13448)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.65/1.46  % (13448)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.65/1.46  % (13448)Termination reason: Refutation not found, incomplete strategy
% 5.65/1.46  
% 5.65/1.46  % (13448)Memory used [KB]: 19551
% 5.65/1.46  % (13448)Time elapsed: 0.382 s
% 5.65/1.46  % (13448)Instructions burned: 981 (million)
% 5.65/1.46  % (13448)------------------------------
% 5.65/1.46  % (13448)------------------------------
% 5.92/1.48  % (13451)Instruction limit reached!
% 5.92/1.48  % (13451)------------------------------
% 5.92/1.48  % (13451)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.92/1.48  % (13451)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.92/1.48  % (13451)Termination reason: Time limit
% 5.92/1.48  % (13451)Termination phase: Saturation
% 5.92/1.48  
% 5.92/1.48  % (13451)Memory used [KB]: 7243
% 5.92/1.48  % (13451)Time elapsed: 0.142 s
% 5.92/1.48  % (13451)Instructions burned: 261 (million)
% 5.92/1.49  % (13433)Running in auto input_syntax mode. Trying TPTP
% 5.92/1.49  % (13454)dis+1010_3:2_sil=4000:plsq=on:s2agt=100:sac=on:s2a=on:i=2185:s2at=2.0:ep=RS:tgt=full_0 on theBenchmark for (2991ds/2185Mi)
% 5.92/1.51  % (13433)Running in auto input_syntax mode. Trying TPTP
% 5.92/1.51  % (13453)dis+11_5603931:1048576_bsr=on:sfv=off:slsqr=176855,1048576:sil=2000:plsq=on:plsqr=4348351,262144:sp=occurrence:spb=units:lcm=predicate:fd=off:nwc=1.37809:s2agt=10:slsq=on:s2a=on:i=462:bs=unit_only:sd=3:kws=arity_squared:slsql=off:bd=off:nm=26:av=off:ss=axioms:sgt=15:fsr=off_0 on theBenchmark for (2991ds/462Mi)
% 6.35/1.53  % (13433)Running in auto input_syntax mode. Trying TPTP
% 6.35/1.53  % (13455)dis+1002_1:2_to=lpo:sil=2000:sos=on:abs=on:newcnf=on:i=308:sd=1:bd=off:ss=included:rawr=on:sp=const_frequency:fsr=off:fs=off_0 on theBenchmark for (2991ds/308Mi)
% 7.25/1.68  % (13455)Instruction limit reached!
% 7.25/1.68  % (13455)------------------------------
% 7.25/1.68  % (13455)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.25/1.68  % (13455)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.25/1.68  % (13455)Termination reason: Time limit
% 7.25/1.68  % (13455)Termination phase: Property scanning
% 7.25/1.68  
% 7.25/1.68  % (13455)Memory used [KB]: 14254
% 7.25/1.68  % (13455)Time elapsed: 0.150 s
% 7.25/1.68  % (13455)Instructions burned: 310 (million)
% 7.56/1.74  % (13433)Running in auto input_syntax mode. Trying TPTP
% 7.56/1.74  % (13456)dis+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:spb=goal:rp=on:i=336:bd=off:ins=4:ss=axioms:sgt=32:acc=on:fde=none_0 on theBenchmark for (2989ds/336Mi)
% 7.56/1.74  % (13453)Instruction limit reached!
% 7.56/1.74  % (13453)------------------------------
% 7.56/1.74  % (13453)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.56/1.74  % (13453)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.56/1.74  % (13453)Termination reason: Time limit
% 7.56/1.74  % (13453)Termination phase: Saturation
% 7.56/1.74  
% 7.56/1.74  % (13453)Memory used [KB]: 9900
% 7.56/1.74  % (13453)Time elapsed: 0.234 s
% 7.56/1.74  % (13453)Instructions burned: 462 (million)
% 8.05/1.78  % (13433)Running in auto input_syntax mode. Trying TPTP
% 8.05/1.78  % (13457)dis+1010_16550053:1048576_to=lpo:ccuc=small_ones:sil=4000:fde=none:plsq=on:avsql=on:plsqr=34063,1048576:sp=const_min:sos=on:acc=model:plsql=on:nwc=10.3787:avsq=on:i=349:sd=1:avsqr=1084175,1048576:nm=0:amm=off:ss=axioms:bce=on:rawr=on:sup=off:bd=off_0 on theBenchmark for (2988ds/349Mi)
% 8.05/1.79  % (13456)Refutation not found, incomplete strategy% (13456)------------------------------
% 8.05/1.79  % (13456)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.05/1.79  % (13456)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.05/1.79  % (13456)Termination reason: Refutation not found, incomplete strategy
% 8.05/1.79  
% 8.05/1.79  % (13456)Memory used [KB]: 6832
% 8.05/1.79  % (13456)Time elapsed: 0.053 s
% 8.05/1.79  % (13456)Instructions burned: 93 (million)
% 8.05/1.79  % (13456)------------------------------
% 8.05/1.79  % (13456)------------------------------
% 8.41/1.81  % (13457)Refutation not found, incomplete strategy% (13457)------------------------------
% 8.41/1.81  % (13457)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.41/1.81  % (13457)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.41/1.81  % (13457)Termination reason: Refutation not found, incomplete strategy
% 8.41/1.81  
% 8.41/1.81  % (13457)Memory used [KB]: 5921
% 8.41/1.81  % (13457)Time elapsed: 0.027 s
% 8.41/1.81  % (13457)Instructions burned: 39 (million)
% 8.41/1.81  % (13457)------------------------------
% 8.41/1.81  % (13457)------------------------------
% 8.61/1.84  % (13433)Running in auto input_syntax mode. Trying TPTP
% 8.61/1.84  % (13458)lrs+2_1:1_sil=2000:sos=all:st=5.0:i=193:bd=off:av=off:ss=axioms:sd=2:sup=off_0 on theBenchmark for (2988ds/193Mi)
% 8.61/1.87  % (13433)Running in auto input_syntax mode. Trying TPTP
% 8.61/1.87  % (13459)lrs+1002_1:1_sil=64000:sos=on:urr=ec_only:flr=on:st=3.0:i=632:sd=1:ep=RS:nm=16:ss=axioms_0 on theBenchmark for (2988ds/632Mi)
% 8.61/1.90  % (13454)First to succeed.
% 8.61/1.90  % (13454)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13433"
% 8.61/1.90  % (13433)Running in auto input_syntax mode. Trying TPTP
% 8.61/1.90  % (13454)Refutation found. Thanks to Tanya!
% 8.61/1.90  % SZS status ContradictoryAxioms for theBenchmark
% 8.61/1.90  % SZS output start Proof for theBenchmark
% See solution above
% 8.61/1.90  % (13454)------------------------------
% 8.61/1.90  % (13454)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.61/1.90  % (13454)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.61/1.90  % (13454)Termination reason: Refutation
% 8.61/1.90  
% 8.61/1.90  % (13454)Memory used [KB]: 17394
% 8.61/1.90  % (13454)Time elapsed: 0.403 s
% 8.61/1.90  % (13454)Instructions burned: 1127 (million)
% 8.61/1.90  % (13454)------------------------------
% 8.61/1.90  % (13454)------------------------------
% 8.61/1.90  % (13433)Success in time 1.276 s
%------------------------------------------------------------------------------