TSTP Solution File: SWW373+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW373+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 18:32:14 EDT 2024

% Result   : ContradictoryAxioms 7.39s 1.74s
% Output   : Refutation 7.39s
% 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    :   13 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :   74 (  65   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35844,plain,
    $false,
    inference(resolution,[],[f35767,f16670]) ).

fof(f16670,plain,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    inference(cnf_transformation,[],[f5173]) ).

fof(f5173,axiom,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f35767,plain,
    ! [X0] : ~ class_Finite__Set_Ofinite(X0),
    inference(resolution,[],[f34672,f18244]) ).

fof(f18244,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(cnf_transformation,[],[f10858]) ).

fof(f10858,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(ennf_transformation,[],[f6460]) ).

fof(f6460,plain,
    ! [X0,X1] :
      ( class_Finite__Set_Ofinite(X1)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) ),
    inference(rectify,[],[f158]) ).

fof(f158,axiom,
    ! [X9,X4] :
      ( class_Finite__Set_Ofinite(X4)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X9)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f34672,plain,
    ! [X0] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
    inference(resolution,[],[f31650,f21607]) ).

fof(f21607,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,[],[f13096]) ).

fof(f13096,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,[],[f8847]) ).

fof(f8847,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,[],[f472]) ).

fof(f472,axiom,
    ! [X100,X19,X77,X4] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X77))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X19),hAPP(c_Set_Oimage(X4,X19,X100),X77))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f31650,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,[],[f20997,f29525]) ).

fof(f29525,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Nat_OSuc,sK19(X0))),X0))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ),
    inference(resolution,[],[f16920,f17261]) ).

fof(f17261,plain,
    ! [X0,X4] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),sK19(X0)))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ),
    inference(cnf_transformation,[],[f14409]) ).

fof(f14409,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),sK18(X0,X1)),X1))
            & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK18(X0,X1)),X0)) ) )
      & ( ! [X4] :
            ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),sK19(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,[sK18,sK19])],[f14406,f14408,f14407]) ).

fof(f14407,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),sK18(X0,X1)),X1))
        & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK18(X0,X1)),X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f14408,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),sK19(X0)))
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f14406,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,[],[f14405]) ).

fof(f14405,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,[],[f10484]) ).

fof(f10484,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,[],[f5654]) ).

fof(f5654,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,[],[f1443]) ).

fof(f1443,axiom,
    ! [X112] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X112))
    <=> ? [X142] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X112))
         => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X142)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f16920,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(cnf_transformation,[],[f5344]) ).

fof(f5344,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(rectify,[],[f1353]) ).

fof(f1353,axiom,
    ! [X107] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X107)),X107)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f20997,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,[],[f8294]) ).

fof(f8294,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,[],[f479]) ).

fof(f479,axiom,
    ! [X19,X16,X1,X4] : hBOOL(hAPP(hAPP(c_member(X4),hAPP(X1,X16)),hAPP(c_Set_Oimage(X19,X4,X1),c_Orderings_Otop__class_Otop(tc_fun(X19,tc_HOL_Obool))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWW373+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Wed Jun 19 09:23:54 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.35  This is a FOF_CAX_RFO_SEQ problem
% 0.12/0.35  Running first-order theorem proving
% 0.12/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/0.69  % (5804)Running in auto input_syntax mode. Trying TPTP
% 0.50/0.69  % (5811)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)
% 0.50/0.72  % (5804)Running in auto input_syntax mode. Trying TPTP
% 0.50/0.72  % (5805)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.50/0.72  % (5804)Running in auto input_syntax mode. Trying TPTP
% 0.50/0.72  % (5807)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)
% 0.50/0.72  % (5804)Running in auto input_syntax mode. Trying TPTP
% 0.50/0.72  % (5808)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.50/0.72  % (5804)Running in auto input_syntax mode. Trying TPTP
% 0.50/0.72  % (5809)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.50/0.72  % (5804)Running in auto input_syntax mode. Trying TPTP
% 0.50/0.72  % (5806)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)
% 0.50/0.72  % (5804)Running in auto input_syntax mode. Trying TPTP
% 0.50/0.72  % (5810)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.50/0.78  % (5811)Instruction limit reached!
% 0.50/0.78  % (5811)------------------------------
% 0.50/0.78  % (5811)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.50/0.78  % (5811)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.50/0.78  % (5811)Termination reason: Time limit
% 0.50/0.78  % (5811)Termination phase: Saturation
% 0.50/0.78  
% 0.50/0.78  % (5811)Memory used [KB]: 9002
% 0.50/0.78  % (5811)Time elapsed: 0.082 s
% 0.50/0.78  % (5811)Instructions burned: 283 (million)
% 0.50/0.81  % (5804)Running in auto input_syntax mode. Trying TPTP
% 0.50/0.81  % (5812)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)
% 0.60/0.84  % (5809)Instruction limit reached!
% 0.60/0.84  % (5809)------------------------------
% 0.60/0.84  % (5809)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.60/0.84  % (5809)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.60/0.84  % (5809)Termination reason: Time limit
% 0.60/0.84  % (5809)Termination phase: Saturation
% 0.60/0.84  
% 0.60/0.84  % (5809)Memory used [KB]: 8227
% 0.60/0.84  % (5809)Time elapsed: 0.121 s
% 0.60/0.84  % (5809)Instructions burned: 252 (million)
% 0.60/0.85  % (5810)Instruction limit reached!
% 0.60/0.85  % (5810)------------------------------
% 0.60/0.85  % (5810)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.60/0.85  % (5810)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.60/0.85  % (5810)Termination reason: Time limit
% 0.60/0.85  % (5810)Termination phase: Saturation
% 0.60/0.85  
% 0.60/0.85  % (5810)Memory used [KB]: 7512
% 0.60/0.85  % (5810)Time elapsed: 0.130 s
% 0.60/0.85  % (5810)Instructions burned: 346 (million)
% 0.60/0.86  % (5812)Instruction limit reached!
% 0.60/0.86  % (5812)------------------------------
% 0.60/0.86  % (5812)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.60/0.86  % (5812)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.60/0.86  % (5812)Termination reason: Time limit
% 0.60/0.86  % (5812)Termination phase: Preprocessing 3
% 0.60/0.86  
% 0.60/0.86  % (5812)Memory used [KB]: 9162
% 0.60/0.86  % (5812)Time elapsed: 0.045 s
% 0.60/0.86  % (5812)Instructions burned: 128 (million)
% 1.05/0.87  % (5804)Running in auto input_syntax mode. Trying TPTP
% 1.05/0.87  % (5813)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 1.05/0.88  % (5804)Running in auto input_syntax mode. Trying TPTP
% 1.05/0.88  % (5814)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 (2998ds/325Mi)
% 1.05/0.89  % (5804)Running in auto input_syntax mode. Trying TPTP
% 1.05/0.89  % (5815)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 (2998ds/267Mi)
% 1.05/0.97  % (5815)Instruction limit reached!
% 1.05/0.97  % (5815)------------------------------
% 1.05/0.97  % (5815)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.05/0.97  % (5815)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.05/0.97  % (5815)Termination reason: Time limit
% 1.05/0.97  % (5815)Termination phase: Saturation
% 1.05/0.97  
% 1.05/0.97  % (5815)Memory used [KB]: 7916
% 1.05/0.97  % (5815)Time elapsed: 0.086 s
% 1.05/0.97  % (5815)Instructions burned: 267 (million)
% 1.05/0.98  % (5814)Instruction limit reached!
% 1.05/0.98  % (5814)------------------------------
% 1.05/0.98  % (5814)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.05/0.98  % (5813)Instruction limit reached!
% 1.05/0.98  % (5813)------------------------------
% 1.05/0.98  % (5813)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.05/0.98  % (5814)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.05/0.98  % (5814)Termination reason: Time limit
% 1.05/0.98  % (5814)Termination phase: Saturation
% 1.05/0.98  
% 1.05/0.98  % (5814)Memory used [KB]: 7706
% 1.05/0.98  % (5814)Time elapsed: 0.103 s
% 1.05/0.98  % (5814)Instructions burned: 328 (million)
% 1.05/0.98  % (5813)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.05/0.98  % (5813)Termination reason: Time limit
% 1.05/0.98  % (5813)Termination phase: Function definition elimination
% 1.05/0.98  
% 1.05/0.98  % (5813)Memory used [KB]: 14754
% 1.05/0.98  % (5813)Time elapsed: 0.114 s
% 1.05/0.98  % (5813)Instructions burned: 402 (million)
% 1.05/1.01  % (5804)Running in auto input_syntax mode. Trying TPTP
% 1.05/1.01  % (5816)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)
% 1.05/1.02  % (5804)Running in auto input_syntax mode. Trying TPTP
% 1.05/1.02  % (5817)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)
% 1.05/1.02  % (5804)Running in auto input_syntax mode. Trying TPTP
% 1.05/1.02  % (5818)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 (2996ds/203Mi)
% 1.45/1.05  % (5816)Instruction limit reached!
% 1.45/1.05  % (5816)------------------------------
% 1.45/1.05  % (5816)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.45/1.05  % (5816)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.45/1.05  % (5816)Termination reason: Time limit
% 1.45/1.05  % (5816)Termination phase: Saturation
% 1.45/1.05  
% 1.45/1.05  % (5816)Memory used [KB]: 7709
% 1.45/1.05  % (5816)Time elapsed: 0.048 s
% 1.45/1.05  % (5816)Instructions burned: 159 (million)
% 3.22/1.08  % (5817)Instruction limit reached!
% 3.22/1.08  % (5817)------------------------------
% 3.22/1.08  % (5817)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.22/1.08  % (5817)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.22/1.08  % (5817)Termination reason: Time limit
% 3.22/1.08  % (5817)Termination phase: Saturation
% 3.22/1.08  
% 3.22/1.08  % (5817)Memory used [KB]: 7993
% 3.22/1.08  % (5817)Time elapsed: 0.060 s
% 3.22/1.08  % (5817)Instructions burned: 201 (million)
% 3.22/1.09  % (5818)Instruction limit reached!
% 3.22/1.09  % (5818)------------------------------
% 3.22/1.09  % (5818)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.22/1.09  % (5818)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.22/1.09  % (5818)Termination reason: Time limit
% 3.22/1.09  % (5818)Termination phase: Saturation
% 3.22/1.09  
% 3.22/1.09  % (5818)Memory used [KB]: 7152
% 3.22/1.09  % (5818)Time elapsed: 0.074 s
% 3.22/1.09  % (5818)Instructions burned: 206 (million)
% 3.22/1.11  % (5804)Running in auto input_syntax mode. Trying TPTP
% 3.22/1.11  % (5820)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 (2995ds/316Mi)
% 3.22/1.11  % (5804)Running in auto input_syntax mode. Trying TPTP
% 3.22/1.11  % (5819)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 (2996ds/1027Mi)
% 3.22/1.13  % (5804)Running in auto input_syntax mode. Trying TPTP
% 3.22/1.13  % (5821)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 (2995ds/426Mi)
% 3.78/1.20  % (5820)Instruction limit reached!
% 3.78/1.20  % (5820)------------------------------
% 3.78/1.20  % (5820)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.78/1.20  % (5820)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.78/1.20  % (5820)Termination reason: Time limit
% 3.78/1.20  % (5820)Termination phase: Saturation
% 3.78/1.20  
% 3.78/1.20  % (5820)Memory used [KB]: 10309
% 3.78/1.20  % (5820)Time elapsed: 0.093 s
% 3.78/1.20  % (5820)Instructions burned: 319 (million)
% 3.78/1.24  % (5804)Running in auto input_syntax mode. Trying TPTP
% 3.78/1.24  % (5822)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 (2994ds/260Mi)
% 4.15/1.25  % (5821)Instruction limit reached!
% 4.15/1.25  % (5821)------------------------------
% 4.15/1.25  % (5821)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.15/1.25  % (5821)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.15/1.25  % (5821)Termination reason: Time limit
% 4.15/1.25  % (5821)Termination phase: Function definition elimination
% 4.15/1.25  
% 4.15/1.25  % (5821)Memory used [KB]: 14670
% 4.15/1.25  % (5821)Time elapsed: 0.121 s
% 4.15/1.25  % (5821)Instructions burned: 429 (million)
% 4.36/1.28  % (5804)Running in auto input_syntax mode. Trying TPTP
% 4.36/1.28  % (5823)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 (2994ds/160Mi)
% 4.58/1.32  % (5822)Instruction limit reached!
% 4.58/1.32  % (5822)------------------------------
% 4.58/1.32  % (5822)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.58/1.32  % (5822)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.58/1.32  % (5822)Termination reason: Time limit
% 4.58/1.32  % (5822)Termination phase: Property scanning
% 4.58/1.32  
% 4.58/1.32  % (5822)Memory used [KB]: 9652
% 4.58/1.32  % (5822)Time elapsed: 0.083 s
% 4.58/1.32  % (5822)Instructions burned: 261 (million)
% 4.58/1.33  % (5823)Instruction limit reached!
% 4.58/1.33  % (5823)------------------------------
% 4.58/1.33  % (5823)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.58/1.33  % (5823)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.58/1.33  % (5823)Termination reason: Time limit
% 4.58/1.33  % (5823)Termination phase: Function definition elimination
% 4.58/1.33  
% 4.58/1.33  % (5823)Memory used [KB]: 8276
% 4.58/1.33  % (5823)Time elapsed: 0.048 s
% 4.58/1.33  % (5823)Instructions burned: 163 (million)
% 4.58/1.35  % (5804)Running in auto input_syntax mode. Trying TPTP
% 4.58/1.35  % (5824)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 (2993ds/462Mi)
% 4.93/1.36  % (5804)Running in auto input_syntax mode. Trying TPTP
% 4.93/1.36  % (5825)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 (2993ds/2185Mi)
% 5.28/1.44  % (5819)Instruction limit reached!
% 5.28/1.44  % (5819)------------------------------
% 5.28/1.44  % (5819)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.28/1.44  % (5819)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.28/1.44  % (5819)Termination reason: Time limit
% 5.28/1.44  % (5819)Termination phase: Saturation
% 5.28/1.44  
% 5.28/1.44  % (5819)Memory used [KB]: 22215
% 5.28/1.44  % (5819)Time elapsed: 0.358 s
% 5.28/1.44  % (5819)Instructions burned: 1029 (million)
% 5.28/1.48  % (5804)Running in auto input_syntax mode. Trying TPTP
% 5.28/1.48  % (5826)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 (2992ds/308Mi)
% 5.28/1.48  % (5824)Instruction limit reached!
% 5.28/1.48  % (5824)------------------------------
% 5.28/1.48  % (5824)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.28/1.48  % (5824)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.28/1.48  % (5824)Termination reason: Time limit
% 5.28/1.48  % (5824)Termination phase: Saturation
% 5.28/1.48  
% 5.28/1.48  % (5824)Memory used [KB]: 10133
% 5.28/1.48  % (5824)Time elapsed: 0.154 s
% 5.28/1.48  % (5824)Instructions burned: 464 (million)
% 6.01/1.51  % (5804)Running in auto input_syntax mode. Trying TPTP
% 6.01/1.51  % (5827)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 (2991ds/336Mi)
% 6.29/1.57  % (5826)Instruction limit reached!
% 6.29/1.57  % (5826)------------------------------
% 6.29/1.57  % (5826)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.29/1.57  % (5826)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.29/1.57  % (5826)Termination reason: Time limit
% 6.29/1.57  % (5826)Termination phase: Property scanning
% 6.29/1.57  
% 6.29/1.57  % (5826)Memory used [KB]: 14309
% 6.29/1.57  % (5826)Time elapsed: 0.092 s
% 6.29/1.57  % (5826)Instructions burned: 310 (million)
% 6.29/1.60  % (5804)Running in auto input_syntax mode. Trying TPTP
% 6.29/1.60  % (5828)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 (2990ds/349Mi)
% 6.29/1.62  % (5827)Instruction limit reached!
% 6.29/1.62  % (5827)------------------------------
% 6.29/1.62  % (5827)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.29/1.62  % (5827)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.29/1.62  % (5827)Termination reason: Time limit
% 6.29/1.62  % (5827)Termination phase: Property scanning
% 6.29/1.62  
% 6.29/1.62  % (5827)Memory used [KB]: 13631
% 6.29/1.62  % (5827)Time elapsed: 0.107 s
% 6.29/1.62  % (5827)Instructions burned: 336 (million)
% 7.12/1.66  % (5804)Running in auto input_syntax mode. Trying TPTP
% 7.12/1.66  % (5829)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 (2990ds/193Mi)
% 7.39/1.70  % (5828)Instruction limit reached!
% 7.39/1.70  % (5828)------------------------------
% 7.39/1.70  % (5828)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.39/1.70  % (5828)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.39/1.70  % (5828)Termination reason: Time limit
% 7.39/1.70  % (5828)Termination phase: Saturation
% 7.39/1.70  
% 7.39/1.70  % (5828)Memory used [KB]: 7027
% 7.39/1.70  % (5828)Time elapsed: 0.099 s
% 7.39/1.70  % (5828)Instructions burned: 349 (million)
% 7.39/1.71  % (5829)Instruction limit reached!
% 7.39/1.71  % (5829)------------------------------
% 7.39/1.71  % (5829)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.39/1.71  % (5829)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.39/1.71  % (5829)Termination reason: Time limit
% 7.39/1.71  % (5829)Termination phase: Property scanning
% 7.39/1.71  
% 7.39/1.71  % (5829)Memory used [KB]: 9803
% 7.39/1.71  % (5829)Time elapsed: 0.060 s
% 7.39/1.71  % (5829)Instructions burned: 197 (million)
% 7.39/1.73  % (5804)Running in auto input_syntax mode. Trying TPTP
% 7.39/1.73  % (5830)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 (2989ds/632Mi)
% 7.39/1.73  % (5825)First to succeed.
% 7.39/1.73  % (5825)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5804"
% 7.39/1.74  % (5804)Running in auto input_syntax mode. Trying TPTP
% 7.39/1.74  % (5825)Refutation found. Thanks to Tanya!
% 7.39/1.74  % SZS status ContradictoryAxioms for theBenchmark
% 7.39/1.74  % SZS output start Proof for theBenchmark
% See solution above
% 7.39/1.74  % (5825)------------------------------
% 7.39/1.74  % (5825)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.39/1.74  % (5825)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.39/1.74  % (5825)Termination reason: Refutation
% 7.39/1.74  
% 7.39/1.74  % (5825)Memory used [KB]: 20626
% 7.39/1.74  % (5825)Time elapsed: 0.398 s
% 7.39/1.74  % (5825)Instructions burned: 1378 (million)
% 7.39/1.74  % (5825)------------------------------
% 7.39/1.74  % (5825)------------------------------
% 7.39/1.74  % (5804)Success in time 1.09 s
%------------------------------------------------------------------------------