TSTP Solution File: SWW304+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW304+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n014.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 18:31:58 EDT 2024

% Result   : ContradictoryAxioms 13.13s 2.63s
% Output   : Refutation 13.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   37 (  12 unt;   0 def)
%            Number of atoms       :   89 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   90 (  38   ~;  27   |;   9   &)
%                                         (   6 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :   16 (  16 usr;   5 con; 0-3 aty)
%            Number of variables   :   88 (  79   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37393,plain,
    $false,
    inference(resolution,[],[f37368,f16704]) ).

fof(f16704,plain,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    inference(cnf_transformation,[],[f5158]) ).

fof(f5158,axiom,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f37368,plain,
    ! [X0] : ~ class_Finite__Set_Ofinite(X0),
    inference(subsumption_resolution,[],[f37367,f18249]) ).

fof(f18249,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(cnf_transformation,[],[f10819]) ).

fof(f10819,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(ennf_transformation,[],[f6425]) ).

fof(f6425,plain,
    ! [X0,X1] :
      ( class_Finite__Set_Ofinite(X1)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) ),
    inference(rectify,[],[f2251]) ).

fof(f2251,axiom,
    ! [X17,X4] :
      ( class_Finite__Set_Ofinite(X4)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X17)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f37367,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X0),hAPP(c_Set_OCollect(X0),X1)))
      | ~ class_Finite__Set_Ofinite(X0) ),
    inference(resolution,[],[f37366,f18249]) ).

fof(f37366,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X0))))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_OCollect(X1),X0))) ),
    inference(subsumption_resolution,[],[f18529,f35621]) ).

fof(f35621,plain,
    ! [X0] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
    inference(resolution,[],[f32070,f21697]) ).

fof(f21697,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,[],[f13092]) ).

fof(f13092,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,[],[f8855]) ).

fof(f8855,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,[],[f2245]) ).

fof(f2245,axiom,
    ! [X121,X16,X204,X4] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X204))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X16),hAPP(c_Set_Oimage(X4,X16,X121),X204))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f32070,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,[],[f31974,f21064]) ).

fof(f21064,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,[],[f8288]) ).

fof(f8288,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,[],[f3051]) ).

fof(f3051,axiom,
    ! [X16,X21,X1,X4] : hBOOL(hAPP(hAPP(c_member(X4),hAPP(X1,X21)),hAPP(c_Set_Oimage(X16,X4,X1),c_Orderings_Otop__class_Otop(tc_fun(X16,tc_HOL_Obool))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f31974,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Nat_OSuc,sK23(X0))),X0))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ),
    inference(resolution,[],[f17269,f16934]) ).

fof(f16934,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(cnf_transformation,[],[f5317]) ).

fof(f5317,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(rectify,[],[f700]) ).

fof(f700,axiom,
    ! [X56] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X56)),X56)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f17269,plain,
    ! [X0,X4] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),sK23(X0)))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ),
    inference(cnf_transformation,[],[f14396]) ).

fof(f14396,plain,
    ! [X0] :
      ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0))
        | ! [X1] :
            ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),sK22(X0,X1)),X1))
            & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK22(X0,X1)),X0)) ) )
      & ( ! [X4] :
            ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),sK23(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,[sK22,sK23])],[f14393,f14395,f14394]) ).

fof(f14394,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1))
          & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0)) )
     => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),sK22(X0,X1)),X1))
        & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK22(X0,X1)),X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f14395,plain,
    ! [X0] :
      ( ? [X3] :
        ! [X4] :
          ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),X3))
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0)) )
     => ! [X4] :
          ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),sK23(X0)))
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f14393,plain,
    ! [X0] :
      ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0))
        | ! [X1] :
          ? [X2] :
            ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(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__eq(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,[],[f14392]) ).

fof(f14392,plain,
    ! [X0] :
      ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0))
        | ! [X1] :
          ? [X2] :
            ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(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__eq(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,[],[f10445]) ).

fof(f10445,plain,
    ! [X0] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0))
    <=> ? [X1] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X1))
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X0)) ) ),
    inference(ennf_transformation,[],[f5621]) ).

fof(f5621,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__eq(tc_Nat_Onat),X2),X1)) ) ),
    inference(rectify,[],[f2280]) ).

fof(f2280,axiom,
    ! [X206] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X206))
    <=> ? [X85] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X206))
         => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X85)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f18529,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X0))))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_OCollect(X1),X0))) ),
    inference(cnf_transformation,[],[f14618]) ).

fof(f14618,plain,
    ! [X0,X1] :
      ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X0))))
          | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))) )
        & ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))))
          | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X0)))) ) )
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_OCollect(X1),X0))) ),
    inference(nnf_transformation,[],[f11129]) ).

fof(f11129,plain,
    ! [X0,X1] :
      ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X0))))
      <=> hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))) )
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_OCollect(X1),X0))) ),
    inference(ennf_transformation,[],[f6647]) ).

fof(f6647,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_OCollect(X1),X0)))
     => ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_OCollect(X1),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X1),c_fNot),X0))))
      <=> hBOOL(hAPP(c_Finite__Set_Ofinite(X1),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))) ) ),
    inference(rectify,[],[f3311]) ).

fof(f3311,axiom,
    ! [X22,X4] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X4),hAPP(c_Set_OCollect(X4),X22)))
     => ( hBOOL(hAPP(c_Finite__Set_Ofinite(X4),hAPP(c_Set_OCollect(X4),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X4),c_fNot),X22))))
      <=> hBOOL(hAPP(c_Finite__Set_Ofinite(X4),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SWW304+1 : TPTP v8.2.0. Released v5.2.0.
% 0.09/0.10  % Command    : run_vampire %s %d THM
% 0.10/0.31  % Computer : n014.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 07:16:54 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.16/0.32  This is a FOF_CAX_RFO_SEQ problem
% 0.16/0.32  Running first-order theorem proving
% 0.16/0.32  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.74  % (3154)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.74  % (3168)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.51/0.74  % (3154)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.74  % (3170)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)
% 0.51/0.74  % (3154)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.74  % (3171)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.51/0.74  % (3154)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.74  % (3173)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.51/0.75  % (3154)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.75  % (3174)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)
% 0.51/0.75  % (3154)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.75  % (3172)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.51/0.77  % (3154)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.77  % (3169)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)
% 0.52/0.87  % (3172)Instruction limit reached!
% 0.52/0.87  % (3172)------------------------------
% 0.52/0.87  % (3172)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.52/0.87  % (3172)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.52/0.87  % (3172)Termination reason: Time limit
% 0.52/0.87  % (3172)Termination phase: Saturation
% 0.52/0.87  
% 0.52/0.87  % (3172)Memory used [KB]: 7250
% 0.52/0.87  % (3172)Time elapsed: 0.142 s
% 0.52/0.87  % (3172)Instructions burned: 252 (million)
% 0.52/0.88  % (3174)Instruction limit reached!
% 0.52/0.88  % (3174)------------------------------
% 0.52/0.88  % (3174)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.52/0.88  % (3174)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.52/0.88  % (3174)Termination reason: Time limit
% 0.52/0.88  % (3174)Termination phase: Saturation
% 0.52/0.88  
% 0.52/0.88  % (3174)Memory used [KB]: 9567
% 0.52/0.88  % (3174)Time elapsed: 0.138 s
% 0.52/0.88  % (3174)Instructions burned: 283 (million)
% 0.52/0.89  % (3173)Instruction limit reached!
% 0.52/0.89  % (3173)------------------------------
% 0.52/0.89  % (3173)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.52/0.89  % (3173)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.52/0.89  % (3173)Termination reason: Time limit
% 0.52/0.89  % (3173)Termination phase: Saturation
% 0.52/0.89  
% 0.52/0.89  % (3173)Memory used [KB]: 6891
% 0.52/0.89  % (3173)Time elapsed: 0.155 s
% 0.52/0.89  % (3173)Instructions burned: 346 (million)
% 1.08/0.94  % (3154)Running in auto input_syntax mode. Trying TPTP
% 1.08/0.94  % (3201)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 (2997ds/125Mi)
% 1.08/0.95  % (3154)Running in auto input_syntax mode. Trying TPTP
% 1.08/0.95  % (3204)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)
% 1.08/0.95  % (3154)Running in auto input_syntax mode. Trying TPTP
% 1.08/0.95  % (3202)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2997ds/402Mi)
% 1.08/1.00  % (3201)Instruction limit reached!
% 1.08/1.00  % (3201)------------------------------
% 1.08/1.00  % (3201)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.08/1.00  % (3201)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.08/1.00  % (3201)Termination reason: Time limit
% 1.08/1.00  % (3201)Termination phase: Preprocessing 3
% 1.08/1.00  
% 1.08/1.00  % (3201)Memory used [KB]: 8561
% 1.08/1.00  % (3201)Time elapsed: 0.071 s
% 1.08/1.00  % (3201)Instructions burned: 125 (million)
% 1.21/1.07  % (3154)Running in auto input_syntax mode. Trying TPTP
% 1.21/1.07  % (3221)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 (2996ds/267Mi)
% 1.21/1.11  % (3204)Instruction limit reached!
% 1.21/1.11  % (3204)------------------------------
% 1.21/1.11  % (3204)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.21/1.11  % (3204)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.21/1.11  % (3204)Termination reason: Time limit
% 1.21/1.11  % (3204)Termination phase: Saturation
% 1.21/1.11  
% 1.21/1.11  % (3204)Memory used [KB]: 7679
% 1.21/1.11  % (3204)Time elapsed: 0.155 s
% 1.21/1.11  % (3204)Instructions burned: 325 (million)
% 1.21/1.14  % (3202)Instruction limit reached!
% 1.21/1.14  % (3202)------------------------------
% 1.21/1.14  % (3202)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.21/1.14  % (3202)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.21/1.14  % (3202)Termination reason: Time limit
% 1.21/1.14  % (3202)Termination phase: Function definition elimination
% 1.21/1.14  
% 1.21/1.14  % (3202)Memory used [KB]: 14745
% 1.21/1.14  % (3202)Time elapsed: 0.192 s
% 1.21/1.14  % (3202)Instructions burned: 402 (million)
% 1.21/1.17  % (3154)Running in auto input_syntax mode. Trying TPTP
% 1.21/1.17  % (3228)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 (2995ds/156Mi)
% 3.80/1.20  % (3221)Instruction limit reached!
% 3.80/1.20  % (3221)------------------------------
% 3.80/1.20  % (3221)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.80/1.20  % (3221)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.80/1.20  % (3221)Termination reason: Time limit
% 3.80/1.20  % (3221)Termination phase: Saturation
% 3.80/1.20  
% 3.80/1.20  % (3221)Memory used [KB]: 7252
% 3.80/1.20  % (3221)Time elapsed: 0.132 s
% 3.80/1.20  % (3221)Instructions burned: 268 (million)
% 3.95/1.21  % (3154)Running in auto input_syntax mode. Trying TPTP
% 3.95/1.21  % (3232)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 (2995ds/200Mi)
% 4.19/1.25  % (3228)Instruction limit reached!
% 4.19/1.25  % (3228)------------------------------
% 4.19/1.25  % (3228)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.19/1.25  % (3228)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.19/1.25  % (3228)Termination reason: Time limit
% 4.19/1.25  % (3228)Termination phase: Saturation
% 4.19/1.25  
% 4.19/1.25  % (3228)Memory used [KB]: 7256
% 4.19/1.25  % (3228)Time elapsed: 0.083 s
% 4.19/1.25  % (3228)Instructions burned: 157 (million)
% 4.19/1.26  % (3154)Running in auto input_syntax mode. Trying TPTP
% 4.19/1.26  % (3236)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 (2994ds/203Mi)
% 4.19/1.31  % (3232)Instruction limit reached!
% 4.19/1.31  % (3232)------------------------------
% 4.19/1.31  % (3232)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.19/1.31  % (3232)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.19/1.31  % (3232)Termination reason: Time limit
% 4.19/1.31  % (3232)Termination phase: Saturation
% 4.19/1.31  
% 4.19/1.31  % (3232)Memory used [KB]: 7945
% 4.19/1.31  % (3232)Time elapsed: 0.103 s
% 4.19/1.31  % (3232)Instructions burned: 201 (million)
% 4.19/1.33  % (3154)Running in auto input_syntax mode. Trying TPTP
% 4.19/1.33  % (3244)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 (2994ds/1027Mi)
% 4.69/1.38  % (3154)Running in auto input_syntax mode. Trying TPTP
% 4.69/1.38  % (3250)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 (2993ds/316Mi)
% 4.69/1.38  % (3236)Instruction limit reached!
% 4.69/1.38  % (3236)------------------------------
% 4.69/1.38  % (3236)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.69/1.38  % (3236)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.69/1.38  % (3236)Termination reason: Time limit
% 4.69/1.38  % (3236)Termination phase: Saturation
% 4.69/1.38  
% 4.69/1.38  % (3236)Memory used [KB]: 7167
% 4.69/1.38  % (3236)Time elapsed: 0.136 s
% 4.69/1.38  % (3236)Instructions burned: 203 (million)
% 5.10/1.45  % (3154)Running in auto input_syntax mode. Trying TPTP
% 5.10/1.45  % (3253)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 (2992ds/426Mi)
% 5.67/1.54  % (3250)Instruction limit reached!
% 5.67/1.54  % (3250)------------------------------
% 5.67/1.54  % (3250)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.67/1.54  % (3250)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.67/1.54  % (3250)Termination reason: Time limit
% 5.67/1.54  % (3250)Termination phase: Saturation
% 5.67/1.54  
% 5.67/1.54  % (3250)Memory used [KB]: 8822
% 5.67/1.54  % (3250)Time elapsed: 0.168 s
% 5.67/1.54  % (3250)Instructions burned: 317 (million)
% 5.67/1.61  % (3154)Running in auto input_syntax mode. Trying TPTP
% 5.67/1.61  % (3260)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 (2991ds/260Mi)
% 6.29/1.66  % (3253)Instruction limit reached!
% 6.29/1.66  % (3253)------------------------------
% 6.29/1.66  % (3253)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.29/1.66  % (3253)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.29/1.66  % (3253)Termination reason: Time limit
% 6.29/1.66  % (3253)Termination phase: Function definition elimination
% 6.29/1.66  
% 6.29/1.66  % (3253)Memory used [KB]: 14719
% 6.29/1.66  % (3253)Time elapsed: 0.213 s
% 6.29/1.66  % (3253)Instructions burned: 427 (million)
% 6.79/1.74  % (3154)Running in auto input_syntax mode. Trying TPTP
% 6.79/1.74  % (3267)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 (2990ds/160Mi)
% 6.79/1.75  % (3260)Instruction limit reached!
% 6.79/1.75  % (3260)------------------------------
% 6.79/1.75  % (3260)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.79/1.75  % (3260)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.79/1.75  % (3260)Termination reason: Time limit
% 6.79/1.75  % (3260)Termination phase: Saturation
% 6.79/1.75  
% 6.79/1.75  % (3260)Memory used [KB]: 7510
% 6.79/1.75  % (3260)Time elapsed: 0.146 s
% 6.79/1.75  % (3260)Instructions burned: 261 (million)
% 7.95/1.80  % (3244)Instruction limit reached!
% 7.95/1.80  % (3244)------------------------------
% 7.95/1.80  % (3244)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.95/1.80  % (3244)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.95/1.80  % (3244)Termination reason: Time limit
% 7.95/1.80  % (3244)Termination phase: Saturation
% 7.95/1.80  
% 7.95/1.80  % (3244)Memory used [KB]: 20362
% 7.95/1.80  % (3244)Time elapsed: 0.497 s
% 7.95/1.80  % (3244)Instructions burned: 1028 (million)
% 8.29/1.84  % (3154)Running in auto input_syntax mode. Trying TPTP
% 8.29/1.84  % (3274)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 (2989ds/462Mi)
% 8.29/1.85  % (3267)Instruction limit reached!
% 8.29/1.85  % (3267)------------------------------
% 8.29/1.85  % (3267)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.29/1.85  % (3267)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.29/1.85  % (3267)Termination reason: Time limit
% 8.29/1.85  % (3267)Termination phase: Saturation
% 8.29/1.85  
% 8.29/1.85  % (3267)Memory used [KB]: 7263
% 8.29/1.85  % (3267)Time elapsed: 0.140 s
% 8.29/1.85  % (3267)Instructions burned: 161 (million)
% 8.29/1.86  % (3154)Running in auto input_syntax mode. Trying TPTP
% 8.29/1.86  % (3276)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 (2988ds/2185Mi)
% 8.65/1.91  % (3154)Running in auto input_syntax mode. Trying TPTP
% 8.65/1.91  % (3277)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 (2987ds/308Mi)
% 9.41/2.07  % (3277)Instruction limit reached!
% 9.41/2.07  % (3277)------------------------------
% 9.41/2.07  % (3277)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.41/2.07  % (3277)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.41/2.07  % (3277)Termination reason: Time limit
% 9.41/2.07  % (3277)Termination phase: Property scanning
% 9.41/2.07  
% 9.41/2.07  % (3277)Memory used [KB]: 14261
% 9.41/2.07  % (3277)Time elapsed: 0.157 s
% 9.41/2.07  % (3277)Instructions burned: 310 (million)
% 9.41/2.08  % (3274)Instruction limit reached!
% 9.41/2.08  % (3274)------------------------------
% 9.41/2.08  % (3274)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.41/2.08  % (3274)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.41/2.08  % (3274)Termination reason: Time limit
% 9.41/2.08  % (3274)Termination phase: Saturation
% 9.41/2.08  
% 9.41/2.08  % (3274)Memory used [KB]: 10349
% 9.41/2.08  % (3274)Time elapsed: 0.283 s
% 9.41/2.08  % (3274)Instructions burned: 462 (million)
% 9.93/2.14  % (3154)Running in auto input_syntax mode. Trying TPTP
% 9.93/2.14  % (3278)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 (2985ds/336Mi)
% 9.93/2.19  % (3154)Running in auto input_syntax mode. Trying TPTP
% 9.93/2.19  % (3279)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 (2985ds/349Mi)
% 11.30/2.32  % (3278)Instruction limit reached!
% 11.30/2.32  % (3278)------------------------------
% 11.30/2.32  % (3278)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.30/2.32  % (3278)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.30/2.32  % (3278)Termination reason: Time limit
% 11.30/2.32  % (3278)Termination phase: Property scanning
% 11.30/2.32  
% 11.30/2.32  % (3278)Memory used [KB]: 13587
% 11.30/2.32  % (3278)Time elapsed: 0.173 s
% 11.30/2.32  % (3278)Instructions burned: 336 (million)
% 11.30/2.35  % (3279)Instruction limit reached!
% 11.30/2.35  % (3279)------------------------------
% 11.30/2.35  % (3279)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.30/2.35  % (3279)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.30/2.35  % (3279)Termination reason: Time limit
% 11.30/2.35  % (3279)Termination phase: Saturation
% 11.30/2.35  
% 11.30/2.35  % (3279)Memory used [KB]: 6826
% 11.30/2.35  % (3279)Time elapsed: 0.200 s
% 11.30/2.35  % (3279)Instructions burned: 351 (million)
% 11.91/2.38  % (3154)Running in auto input_syntax mode. Trying TPTP
% 11.91/2.38  % (3280)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 (2983ds/193Mi)
% 12.07/2.42  % (3154)Running in auto input_syntax mode. Trying TPTP
% 12.07/2.42  % (3281)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 (2982ds/632Mi)
% 12.17/2.48  % (3280)Instruction limit reached!
% 12.17/2.48  % (3280)------------------------------
% 12.17/2.48  % (3280)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.17/2.48  % (3280)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.17/2.48  % (3280)Termination reason: Time limit
% 12.17/2.48  % (3280)Termination phase: Property scanning
% 12.17/2.48  
% 12.17/2.48  % (3280)Memory used [KB]: 8872
% 12.17/2.48  % (3280)Time elapsed: 0.099 s
% 12.17/2.48  % (3280)Instructions burned: 193 (million)
% 12.79/2.54  % (3154)Running in auto input_syntax mode. Trying TPTP
% 12.79/2.54  % (3282)lrs+1011_4801913:1048576_sfv=off:sil=2000:plsqc=1:plsq=on:plsqr=98277,1048576:etr=on:sp=const_max:lma=on:erape=on:urr=full:rp=on:nwc=23.4614:lwlo=on:st=2.5:i=440:add=large:bs=unit_only:sd=2:kws=inv_arity_squared:awrs=converge:awrsf=951:nm=17:amm=sco:ss=axioms:er=filter:sgt=50:rawr=on:anc=none_0 on theBenchmark for (2981ds/440Mi)
% 13.13/2.62  % (3276)First to succeed.
% 13.13/2.63  % (3276)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3154"
% 13.13/2.63  % (3154)Running in auto input_syntax mode. Trying TPTP
% 13.13/2.63  % (3276)Refutation found. Thanks to Tanya!
% 13.13/2.63  % SZS status ContradictoryAxioms for theBenchmark
% 13.13/2.63  % SZS output start Proof for theBenchmark
% See solution above
% 13.13/2.63  % (3276)------------------------------
% 13.13/2.63  % (3276)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.13/2.63  % (3276)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.13/2.63  % (3276)Termination reason: Refutation
% 13.13/2.63  
% 13.13/2.63  % (3276)Memory used [KB]: 21160
% 13.13/2.63  % (3276)Time elapsed: 0.782 s
% 13.13/2.63  % (3276)Instructions burned: 1568 (million)
% 13.13/2.63  % (3276)------------------------------
% 13.13/2.63  % (3276)------------------------------
% 13.13/2.63  % (3154)Success in time 1.983 s
%------------------------------------------------------------------------------