TSTP Solution File: SWW369+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW369+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n026.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 18:32:13 EDT 2024

% Result   : ContradictoryAxioms 9.87s 2.09s
% Output   : Refutation 9.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   30 (  12 unt;   0 def)
%            Number of atoms       :   68 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   66 (  28   ~;  19   |;   8   &)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-3 aty)
%            Number of variables   :   74 (  65   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f33473,plain,
    $false,
    inference(resolution,[],[f32859,f16875]) ).

fof(f16875,plain,
    class_Finite__Set_Ofinite(tc_HOL_Obool),
    inference(cnf_transformation,[],[f5133]) ).

fof(f5133,axiom,
    class_Finite__Set_Ofinite(tc_HOL_Obool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f32859,plain,
    ! [X0] : ~ class_Finite__Set_Ofinite(X0),
    inference(resolution,[],[f18403,f31111]) ).

fof(f31111,plain,
    ! [X0] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
    inference(resolution,[],[f30297,f21957]) ).

fof(f21957,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,[],[f13220]) ).

fof(f13220,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,[],[f8893]) ).

fof(f8893,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,[],[f2]) ).

fof(f2,axiom,
    ! [X3,X4,X5,X6] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X6),X5))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X4),hAPP(c_Set_Oimage(X6,X4,X3),X5))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f30297,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,[],[f29965,f21296]) ).

fof(f21296,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,[],[f8307]) ).

fof(f8307,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,[],[f1922]) ).

fof(f1922,axiom,
    ! [X4,X7,X1,X6] : hBOOL(hAPP(hAPP(c_member(X6),hAPP(X1,X7)),hAPP(c_Set_Oimage(X4,X6,X1),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_HOL_Obool))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f29965,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Nat_OSuc,sK21(X0))),X0))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ),
    inference(resolution,[],[f17429,f17096]) ).

fof(f17096,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,[],[f50]) ).

fof(f50,axiom,
    ! [X13] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X13)),X13)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f17429,plain,
    ! [X0,X4] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),sK21(X0)))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ),
    inference(cnf_transformation,[],[f14535]) ).

fof(f14535,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),sK20(X0,X1)),X1))
            & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK20(X0,X1)),X0)) ) )
      & ( ! [X4] :
            ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),sK21(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,[sK20,sK21])],[f14532,f14534,f14533]) ).

fof(f14533,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),sK20(X0,X1)),X1))
        & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK20(X0,X1)),X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f14534,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),sK21(X0)))
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f14532,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,[],[f14531]) ).

fof(f14531,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,[],[f10441]) ).

fof(f10441,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,[],[f5619]) ).

fof(f5619,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,[],[f986]) ).

fof(f986,axiom,
    ! [X60] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X60))
    <=> ? [X66] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X60))
         => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X66)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f18403,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(cnf_transformation,[],[f10822]) ).

fof(f10822,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(ennf_transformation,[],[f6414]) ).

fof(f6414,plain,
    ! [X0,X1] :
      ( class_Finite__Set_Ofinite(X1)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X8,X6] :
      ( class_Finite__Set_Ofinite(X6)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X6),X8)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWW369+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.13  % Command    : run_vampire %s %d THM
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Wed Jun 19 07:23:24 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.21/0.37  This is a FOF_CAX_RFO_SEQ problem
% 0.21/0.37  Running first-order theorem proving
% 0.21/0.37  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.71  % (27161)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.71  % (27166)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.51/0.72  % (27161)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (27164)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)
% 0.52/0.72  % (27161)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.72  % (27168)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)
% 0.52/0.73  % (27161)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73  % (27167)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.52/0.73  % (27161)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73  % (27163)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)
% 0.52/0.73  % (27161)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.73  % (27162)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.52/0.75  % (27161)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.75  % (27165)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.52/0.82  % (27168)Instruction limit reached!
% 0.52/0.82  % (27168)------------------------------
% 0.52/0.82  % (27168)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.52/0.82  % (27168)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.52/0.82  % (27168)Termination reason: Time limit
% 0.52/0.82  % (27168)Termination phase: Property scanning
% 0.52/0.82  
% 0.52/0.82  % (27168)Memory used [KB]: 9148
% 0.52/0.82  % (27168)Time elapsed: 0.101 s
% 0.52/0.82  % (27168)Instructions burned: 284 (million)
% 0.52/0.82  % (27166)Instruction limit reached!
% 0.52/0.82  % (27166)------------------------------
% 0.52/0.82  % (27166)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.52/0.82  % (27166)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.52/0.82  % (27166)Termination reason: Time limit
% 0.52/0.82  % (27166)Termination phase: Saturation
% 0.52/0.82  
% 0.52/0.82  % (27166)Memory used [KB]: 8025
% 0.52/0.82  % (27166)Time elapsed: 0.119 s
% 0.52/0.82  % (27166)Instructions burned: 251 (million)
% 0.81/0.86  % (27161)Running in auto input_syntax mode. Trying TPTP
% 0.81/0.86  % (27169)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 (2998ds/125Mi)
% 0.81/0.86  % (27167)Instruction limit reached!
% 0.81/0.86  % (27167)------------------------------
% 0.81/0.86  % (27167)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.81/0.86  % (27167)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.81/0.86  % (27167)Termination reason: Time limit
% 0.81/0.86  % (27167)Termination phase: Saturation
% 0.81/0.86  
% 0.81/0.86  % (27167)Memory used [KB]: 8526
% 0.81/0.86  % (27167)Time elapsed: 0.138 s
% 0.81/0.86  % (27167)Instructions burned: 348 (million)
% 1.01/0.88  % (27161)Running in auto input_syntax mode. Trying TPTP
% 1.01/0.88  % (27170)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 1.01/0.91  % (27169)Instruction limit reached!
% 1.01/0.91  % (27169)------------------------------
% 1.01/0.91  % (27169)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.01/0.91  % (27169)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.01/0.91  % (27169)Termination reason: Time limit
% 1.01/0.91  % (27169)Termination phase: Preprocessing 3
% 1.01/0.91  
% 1.01/0.91  % (27169)Memory used [KB]: 8394
% 1.01/0.91  % (27169)Time elapsed: 0.053 s
% 1.01/0.91  % (27169)Instructions burned: 126 (million)
% 1.01/0.91  % (27161)Running in auto input_syntax mode. Trying TPTP
% 1.01/0.91  % (27171)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)
% 1.10/0.95  % (27161)Running in auto input_syntax mode. Trying TPTP
% 1.10/0.95  % (27172)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)
% 1.10/1.01  % (27170)Instruction limit reached!
% 1.10/1.01  % (27170)------------------------------
% 1.10/1.01  % (27170)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.10/1.01  % (27170)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.10/1.01  % (27170)Termination reason: Time limit
% 1.10/1.01  % (27170)Termination phase: Function definition elimination
% 1.10/1.01  
% 1.10/1.01  % (27170)Memory used [KB]: 14886
% 1.10/1.01  % (27170)Time elapsed: 0.130 s
% 1.10/1.01  % (27170)Instructions burned: 404 (million)
% 1.29/1.06  % (27161)Running in auto input_syntax mode. Trying TPTP
% 1.29/1.06  % (27173)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)
% 1.29/1.06  % (27172)Instruction limit reached!
% 1.29/1.06  % (27172)------------------------------
% 1.29/1.06  % (27172)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/1.06  % (27172)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/1.06  % (27172)Termination reason: Time limit
% 1.29/1.06  % (27172)Termination phase: Saturation
% 1.29/1.06  
% 1.29/1.06  % (27172)Memory used [KB]: 8189
% 1.29/1.06  % (27172)Time elapsed: 0.111 s
% 1.29/1.06  % (27172)Instructions burned: 268 (million)
% 1.29/1.07  % (27171)Instruction limit reached!
% 1.29/1.07  % (27171)------------------------------
% 1.29/1.07  % (27171)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/1.07  % (27171)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/1.07  % (27171)Termination reason: Time limit
% 1.29/1.07  % (27171)Termination phase: Saturation
% 1.29/1.07  
% 1.29/1.07  % (27171)Memory used [KB]: 8120
% 1.29/1.07  % (27171)Time elapsed: 0.159 s
% 1.29/1.07  % (27171)Instructions burned: 326 (million)
% 3.18/1.10  % (27161)Running in auto input_syntax mode. Trying TPTP
% 3.18/1.10  % (27174)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)
% 3.18/1.12  % (27173)Instruction limit reached!
% 3.18/1.12  % (27173)------------------------------
% 3.18/1.12  % (27173)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.18/1.12  % (27173)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.18/1.12  % (27173)Termination reason: Time limit
% 3.18/1.12  % (27173)Termination phase: Saturation
% 3.18/1.12  
% 3.18/1.12  % (27173)Memory used [KB]: 7685
% 3.18/1.12  % (27173)Time elapsed: 0.077 s
% 3.18/1.12  % (27173)Instructions burned: 160 (million)
% 3.18/1.13  % (27161)Running in auto input_syntax mode. Trying TPTP
% 3.18/1.13  % (27175)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)
% 3.55/1.16  % (27161)Running in auto input_syntax mode. Trying TPTP
% 3.55/1.16  % (27176)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)
% 3.55/1.17  % (27174)Instruction limit reached!
% 3.55/1.17  % (27174)------------------------------
% 3.55/1.17  % (27174)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.55/1.17  % (27174)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.55/1.17  % (27174)Termination reason: Time limit
% 3.55/1.17  % (27174)Termination phase: Saturation
% 3.55/1.17  
% 3.55/1.17  % (27174)Memory used [KB]: 8024
% 3.55/1.17  % (27174)Time elapsed: 0.068 s
% 3.55/1.17  % (27174)Instructions burned: 200 (million)
% 3.80/1.22  % (27175)Instruction limit reached!
% 3.80/1.22  % (27175)------------------------------
% 3.80/1.22  % (27175)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.80/1.22  % (27175)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.80/1.22  % (27175)Termination reason: Time limit
% 3.80/1.22  % (27175)Termination phase: Saturation
% 3.80/1.22  
% 3.80/1.22  % (27175)Memory used [KB]: 7497
% 3.80/1.22  % (27175)Time elapsed: 0.116 s
% 3.80/1.22  % (27175)Instructions burned: 204 (million)
% 3.80/1.22  % (27161)Running in auto input_syntax mode. Trying TPTP
% 3.80/1.22  % (27177)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)
% 4.20/1.27  % (27161)Running in auto input_syntax mode. Trying TPTP
% 4.20/1.27  % (27178)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)
% 4.42/1.35  % (27177)Instruction limit reached!
% 4.42/1.35  % (27177)------------------------------
% 4.42/1.35  % (27177)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.42/1.35  % (27177)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.42/1.35  % (27177)Termination reason: Time limit
% 4.42/1.35  % (27177)Termination phase: Saturation
% 4.42/1.35  
% 4.42/1.35  % (27177)Memory used [KB]: 10601
% 4.42/1.35  % (27177)Time elapsed: 0.151 s
% 4.42/1.35  % (27177)Instructions burned: 316 (million)
% 4.81/1.40  % (27161)Running in auto input_syntax mode. Trying TPTP
% 4.81/1.40  % (27180)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)
% 4.81/1.43  % (27178)Instruction limit reached!
% 4.81/1.43  % (27178)------------------------------
% 4.81/1.43  % (27178)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.81/1.43  % (27178)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.81/1.43  % (27178)Termination reason: Time limit
% 4.81/1.43  % (27178)Termination phase: Function definition elimination
% 4.81/1.43  
% 4.81/1.43  % (27178)Memory used [KB]: 14788
% 4.81/1.43  % (27178)Time elapsed: 0.166 s
% 4.81/1.43  % (27178)Instructions burned: 427 (million)
% 5.35/1.48  % (27176)Instruction limit reached!
% 5.35/1.48  % (27176)------------------------------
% 5.35/1.48  % (27176)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.35/1.48  % (27176)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.35/1.48  % (27176)Termination reason: Time limit
% 5.50/1.48  % (27176)Termination phase: Saturation
% 5.50/1.48  
% 5.50/1.48  % (27176)Memory used [KB]: 22375
% 5.50/1.48  % (27176)Time elapsed: 0.343 s
% 5.50/1.48  % (27176)Instructions burned: 1027 (million)
% 5.50/1.49  % (27161)Running in auto input_syntax mode. Trying TPTP
% 5.50/1.49  % (27181)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)
% 5.50/1.52  % (27180)Instruction limit reached!
% 5.50/1.52  % (27180)------------------------------
% 5.50/1.52  % (27180)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.50/1.52  % (27180)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.50/1.52  % (27180)Termination reason: Time limit
% 5.50/1.52  % (27180)Termination phase: Saturation
% 5.50/1.52  
% 5.50/1.52  % (27180)Memory used [KB]: 7940
% 5.50/1.52  % (27180)Time elapsed: 0.139 s
% 5.50/1.52  % (27180)Instructions burned: 260 (million)
% 5.50/1.52  % (27161)Running in auto input_syntax mode. Trying TPTP
% 5.50/1.52  % (27182)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)
% 6.25/1.55  % (27181)Instruction limit reached!
% 6.25/1.55  % (27181)------------------------------
% 6.25/1.55  % (27181)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.25/1.55  % (27181)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.25/1.55  % (27181)Termination reason: Time limit
% 6.25/1.55  % (27181)Termination phase: Saturation
% 6.25/1.55  
% 6.25/1.55  % (27181)Memory used [KB]: 7524
% 6.25/1.55  % (27181)Time elapsed: 0.064 s
% 6.25/1.55  % (27181)Instructions burned: 162 (million)
% 6.25/1.57  % (27161)Running in auto input_syntax mode. Trying TPTP
% 6.25/1.57  % (27183)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)
% 6.25/1.60  % (27161)Running in auto input_syntax mode. Trying TPTP
% 6.25/1.60  % (27184)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 (2990ds/308Mi)
% 7.26/1.67  % (27182)Instruction limit reached!
% 7.26/1.67  % (27182)------------------------------
% 7.26/1.67  % (27182)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.26/1.67  % (27182)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.26/1.67  % (27182)Termination reason: Time limit
% 7.26/1.67  % (27182)Termination phase: Saturation
% 7.26/1.67  
% 7.26/1.67  % (27182)Memory used [KB]: 9152
% 7.26/1.67  % (27182)Time elapsed: 0.173 s
% 7.26/1.67  % (27182)Instructions burned: 462 (million)
% 7.26/1.71  % (27184)Instruction limit reached!
% 7.26/1.71  % (27184)------------------------------
% 7.26/1.71  % (27184)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.26/1.71  % (27184)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.26/1.71  % (27184)Termination reason: Time limit
% 7.26/1.71  % (27184)Termination phase: Property scanning
% 7.26/1.71  
% 7.26/1.71  % (27184)Memory used [KB]: 14340
% 7.26/1.71  % (27184)Time elapsed: 0.108 s
% 7.26/1.71  % (27184)Instructions burned: 308 (million)
% 7.26/1.71  % (27161)Running in auto input_syntax mode. Trying TPTP
% 7.26/1.71  % (27185)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)
% 7.77/1.77  % (27161)Running in auto input_syntax mode. Trying TPTP
% 7.77/1.77  % (27186)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 (2989ds/349Mi)
% 7.89/1.81  % (27185)Instruction limit reached!
% 7.89/1.81  % (27185)------------------------------
% 7.89/1.81  % (27185)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.89/1.81  % (27185)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.89/1.81  % (27185)Termination reason: Time limit
% 7.89/1.81  % (27185)Termination phase: Property scanning
% 7.89/1.81  
% 7.89/1.81  % (27185)Memory used [KB]: 13708
% 7.89/1.81  % (27185)Time elapsed: 0.105 s
% 7.89/1.81  % (27185)Instructions burned: 339 (million)
% 8.28/1.85  % (27161)Running in auto input_syntax mode. Trying TPTP
% 8.28/1.85  % (27187)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)
% 8.64/1.92  % (27186)Instruction limit reached!
% 8.64/1.92  % (27186)------------------------------
% 8.64/1.92  % (27186)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.64/1.92  % (27186)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.64/1.92  % (27186)Termination reason: Time limit
% 8.64/1.92  % (27186)Termination phase: Saturation
% 8.64/1.92  
% 8.64/1.92  % (27186)Memory used [KB]: 7623
% 8.64/1.92  % (27186)Time elapsed: 0.152 s
% 8.64/1.92  % (27186)Instructions burned: 350 (million)
% 8.64/1.94  % (27187)Instruction limit reached!
% 8.64/1.94  % (27187)------------------------------
% 8.64/1.94  % (27187)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.64/1.94  % (27187)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.64/1.94  % (27187)Termination reason: Time limit
% 8.64/1.94  % (27187)Termination phase: Property scanning
% 8.64/1.94  
% 8.64/1.94  % (27187)Memory used [KB]: 10803
% 8.64/1.94  % (27187)Time elapsed: 0.093 s
% 8.64/1.94  % (27187)Instructions burned: 197 (million)
% 9.30/1.97  % (27161)Running in auto input_syntax mode. Trying TPTP
% 9.30/1.97  % (27188)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 (2987ds/632Mi)
% 9.30/1.98  % (27161)Running in auto input_syntax mode. Trying TPTP
% 9.30/1.98  % (27189)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 (2987ds/440Mi)
% 9.87/2.09  % (27183)First to succeed.
% 9.87/2.09  % (27183)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27161"
% 9.87/2.09  % (27161)Running in auto input_syntax mode. Trying TPTP
% 9.87/2.09  % (27183)Refutation found. Thanks to Tanya!
% 9.87/2.09  % SZS status ContradictoryAxioms for theBenchmark
% 9.87/2.09  % SZS output start Proof for theBenchmark
% See solution above
% 9.87/2.09  % (27183)------------------------------
% 9.87/2.09  % (27183)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.87/2.09  % (27183)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.87/2.09  % (27183)Termination reason: Refutation
% 9.87/2.09  
% 9.87/2.09  % (27183)Memory used [KB]: 18674
% 9.87/2.09  % (27183)Time elapsed: 0.522 s
% 9.87/2.09  % (27183)Instructions burned: 1234 (million)
% 9.87/2.09  % (27183)------------------------------
% 9.87/2.09  % (27183)------------------------------
% 9.87/2.09  % (27161)Success in time 1.437 s
%------------------------------------------------------------------------------