TSTP Solution File: SWW376+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW376+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n029.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 18:32:15 EDT 2024

% Result   : ContradictoryAxioms 12.39s 2.42s
% Output   : Refutation 12.39s
% 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(f39670,plain,
    $false,
    inference(resolution,[],[f39304,f16650]) ).

fof(f16650,plain,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    inference(cnf_transformation,[],[f5167]) ).

fof(f5167,axiom,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f39304,plain,
    ! [X0] : ~ class_Finite__Set_Ofinite(X0),
    inference(resolution,[],[f39170,f18225]) ).

fof(f18225,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(cnf_transformation,[],[f10843]) ).

fof(f10843,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(ennf_transformation,[],[f6450]) ).

fof(f6450,plain,
    ! [X0,X1] :
      ( class_Finite__Set_Ofinite(X1)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) ),
    inference(rectify,[],[f49]) ).

fof(f49,axiom,
    ! [X3,X5] :
      ( class_Finite__Set_Ofinite(X5)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f39170,plain,
    ! [X0] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
    inference(resolution,[],[f34492,f21590]) ).

fof(f21590,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,[],[f13077]) ).

fof(f13077,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,[],[f8837]) ).

fof(f8837,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,[],[f35]) ).

fof(f35,axiom,
    ! [X36,X6,X37,X5] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X5),X37))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X6),hAPP(c_Set_Oimage(X5,X6,X36),X37))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f34492,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,[],[f34399,f20978]) ).

fof(f20978,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,[],[f8282]) ).

fof(f8282,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,[],[f484]) ).

fof(f484,axiom,
    ! [X6,X23,X1,X5] : hBOOL(hAPP(hAPP(c_member(X5),hAPP(X1,X23)),hAPP(c_Set_Oimage(X6,X5,X1),c_Orderings_Otop__class_Otop(tc_fun(X6,tc_HOL_Obool))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f34399,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,[],[f17243,f16903]) ).

fof(f16903,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(cnf_transformation,[],[f5338]) ).

fof(f5338,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(rectify,[],[f932]) ).

fof(f932,axiom,
    ! [X135] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X135)),X135)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f17243,plain,
    ! [X0,X4] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(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,[],[f14393]) ).

fof(f14393,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),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__eq(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])],[f14390,f14392,f14391]) ).

fof(f14391,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),sK21(X0,X1)),X1))
        & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK21(X0,X1)),X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f14392,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),sK22(X0)))
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X4),X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f14390,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,[],[f14389]) ).

fof(f14389,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,[],[f10467]) ).

fof(f10467,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,[],[f5647]) ).

fof(f5647,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,[],[f1279]) ).

fof(f1279,axiom,
    ! [X65] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X65))
    <=> ? [X156] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X65))
         => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X156)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWW376+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.13  % Command    : run_vampire %s %d THM
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Wed Jun 19 07:15:39 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.36  This is a FOF_CAX_RFO_SEQ problem
% 0.13/0.36  Running first-order theorem proving
% 0.13/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.72  % (23784)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (23803)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.51/0.72  % (23784)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (23802)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  % (23784)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (23801)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.51/0.72  % (23784)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (23799)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)
% 0.51/0.72  % (23784)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (23800)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)
% 0.51/0.72  % (23784)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (23798)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.51/0.72  % (23784)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (23804)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)
% 0.51/0.78  % (23802)Refutation not found, incomplete strategy% (23802)------------------------------
% 0.51/0.78  % (23802)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.51/0.78  % (23802)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.51/0.78  % (23802)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.78  
% 0.51/0.78  % (23802)Memory used [KB]: 6824
% 0.51/0.78  % (23802)Time elapsed: 0.059 s
% 0.51/0.78  % (23802)Instructions burned: 97 (million)
% 0.51/0.78  % (23802)------------------------------
% 0.51/0.78  % (23802)------------------------------
% 0.51/0.82  % (23784)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.82  % (23805)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)
% 0.61/0.85  % (23803)Instruction limit reached!
% 0.61/0.85  % (23803)------------------------------
% 0.61/0.85  % (23803)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.61/0.85  % (23803)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.61/0.85  % (23803)Termination reason: Time limit
% 0.61/0.85  % (23803)Termination phase: Saturation
% 0.61/0.85  
% 0.61/0.85  % (23803)Memory used [KB]: 7704
% 0.61/0.85  % (23803)Time elapsed: 0.135 s
% 0.61/0.85  % (23803)Instructions burned: 349 (million)
% 0.82/0.87  % (23804)Instruction limit reached!
% 0.82/0.87  % (23804)------------------------------
% 0.82/0.87  % (23804)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.82/0.87  % (23804)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.82/0.87  % (23804)Termination reason: Time limit
% 0.82/0.87  % (23804)Termination phase: Saturation
% 0.82/0.87  
% 0.82/0.87  % (23804)Memory used [KB]: 9400
% 0.82/0.87  % (23804)Time elapsed: 0.149 s
% 0.82/0.87  % (23804)Instructions burned: 283 (million)
% 0.82/0.88  % (23805)Instruction limit reached!
% 0.82/0.88  % (23805)------------------------------
% 0.82/0.88  % (23805)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.82/0.88  % (23805)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.82/0.88  % (23805)Termination reason: Time limit
% 0.82/0.88  % (23805)Termination phase: Preprocessing 3
% 0.82/0.88  
% 0.82/0.88  % (23805)Memory used [KB]: 9051
% 0.82/0.88  % (23805)Time elapsed: 0.061 s
% 0.82/0.88  % (23805)Instructions burned: 126 (million)
% 0.82/0.89  % (23784)Running in auto input_syntax mode. Trying TPTP
% 0.82/0.89  % (23813)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2997ds/402Mi)
% 1.13/0.93  % (23784)Running in auto input_syntax mode. Trying TPTP
% 1.13/0.93  % (23814)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)
% 1.13/0.94  % (23784)Running in auto input_syntax mode. Trying TPTP
% 1.13/0.94  % (23815)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)
% 1.13/1.05  % (23813)Instruction limit reached!
% 1.13/1.05  % (23813)------------------------------
% 1.13/1.05  % (23813)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.13/1.05  % (23813)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.13/1.05  % (23813)Termination reason: Time limit
% 1.13/1.05  % (23813)Termination phase: Function definition elimination
% 1.13/1.05  
% 1.13/1.05  % (23813)Memory used [KB]: 14686
% 1.13/1.05  % (23813)Time elapsed: 0.159 s
% 1.13/1.05  % (23813)Instructions burned: 403 (million)
% 1.13/1.07  % (23815)Instruction limit reached!
% 1.13/1.07  % (23815)------------------------------
% 1.13/1.07  % (23815)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.13/1.07  % (23815)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.13/1.07  % (23815)Termination reason: Time limit
% 1.13/1.07  % (23815)Termination phase: Saturation
% 1.13/1.07  
% 1.13/1.07  % (23815)Memory used [KB]: 8850
% 1.13/1.07  % (23815)Time elapsed: 0.128 s
% 1.13/1.07  % (23815)Instructions burned: 269 (million)
% 3.33/1.08  % (23814)Instruction limit reached!
% 3.33/1.08  % (23814)------------------------------
% 3.33/1.08  % (23814)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.33/1.08  % (23814)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.33/1.08  % (23814)Termination reason: Time limit
% 3.33/1.08  % (23814)Termination phase: Saturation
% 3.33/1.08  
% 3.33/1.08  % (23814)Memory used [KB]: 8700
% 3.33/1.08  % (23814)Time elapsed: 0.155 s
% 3.33/1.08  % (23814)Instructions burned: 325 (million)
% 3.33/1.11  % (23784)Running in auto input_syntax mode. Trying TPTP
% 3.33/1.11  % (23819)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)
% 3.33/1.13  % (23784)Running in auto input_syntax mode. Trying TPTP
% 3.33/1.13  % (23820)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)
% 3.67/1.14  % (23784)Running in auto input_syntax mode. Trying TPTP
% 3.67/1.14  % (23821)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)
% 3.84/1.18  % (23819)Instruction limit reached!
% 3.84/1.18  % (23819)------------------------------
% 3.84/1.18  % (23819)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.84/1.18  % (23819)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.84/1.18  % (23819)Termination reason: Time limit
% 3.84/1.18  % (23819)Termination phase: Saturation
% 3.84/1.18  
% 3.84/1.18  % (23819)Memory used [KB]: 7660
% 3.84/1.18  % (23819)Time elapsed: 0.076 s
% 3.84/1.18  % (23819)Instructions burned: 157 (million)
% 3.84/1.21  % (23820)Instruction limit reached!
% 3.84/1.21  % (23820)------------------------------
% 3.84/1.21  % (23820)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.84/1.21  % (23820)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.84/1.21  % (23820)Termination reason: Time limit
% 3.84/1.21  % (23820)Termination phase: Saturation
% 3.84/1.21  
% 3.84/1.21  % (23820)Memory used [KB]: 7918
% 3.84/1.21  % (23820)Time elapsed: 0.078 s
% 3.84/1.21  % (23820)Instructions burned: 201 (million)
% 3.84/1.22  % (23784)Running in auto input_syntax mode. Trying TPTP
% 3.84/1.22  % (23823)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)
% 4.25/1.25  % (23821)Instruction limit reached!
% 4.25/1.25  % (23821)------------------------------
% 4.25/1.25  % (23821)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.25/1.25  % (23821)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.25/1.25  % (23821)Termination reason: Time limit
% 4.25/1.25  % (23821)Termination phase: Saturation
% 4.25/1.25  
% 4.25/1.25  % (23821)Memory used [KB]: 7880
% 4.25/1.25  % (23821)Time elapsed: 0.114 s
% 4.25/1.25  % (23821)Instructions burned: 205 (million)
% 4.50/1.27  % (23784)Running in auto input_syntax mode. Trying TPTP
% 4.50/1.27  % (23825)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)
% 4.50/1.32  % (23784)Running in auto input_syntax mode. Trying TPTP
% 4.50/1.32  % (23827)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)
% 4.93/1.42  % (23825)Instruction limit reached!
% 4.93/1.42  % (23825)------------------------------
% 4.93/1.42  % (23825)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.93/1.42  % (23825)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.93/1.42  % (23825)Termination reason: Time limit
% 4.93/1.42  % (23825)Termination phase: Saturation
% 4.93/1.42  
% 4.93/1.42  % (23825)Memory used [KB]: 10275
% 4.93/1.42  % (23825)Time elapsed: 0.157 s
% 4.93/1.42  % (23825)Instructions burned: 317 (million)
% 5.45/1.47  % (23784)Running in auto input_syntax mode. Trying TPTP
% 5.45/1.47  % (23828)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 (2992ds/260Mi)
% 5.61/1.52  % (23827)Instruction limit reached!
% 5.61/1.52  % (23827)------------------------------
% 5.61/1.52  % (23827)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.61/1.52  % (23827)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.61/1.52  % (23827)Termination reason: Time limit
% 5.61/1.52  % (23827)Termination phase: Function definition elimination
% 5.61/1.52  
% 5.61/1.52  % (23827)Memory used [KB]: 14659
% 5.61/1.52  % (23827)Time elapsed: 0.206 s
% 5.61/1.52  % (23827)Instructions burned: 426 (million)
% 6.17/1.57  % (23828)Instruction limit reached!
% 6.17/1.57  % (23828)------------------------------
% 6.17/1.57  % (23828)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.17/1.57  % (23828)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.17/1.57  % (23828)Termination reason: Time limit
% 6.17/1.57  % (23828)Termination phase: Property scanning
% 6.17/1.57  
% 6.17/1.57  % (23828)Memory used [KB]: 9208
% 6.17/1.57  % (23828)Time elapsed: 0.107 s
% 6.17/1.57  % (23828)Instructions burned: 260 (million)
% 6.17/1.58  % (23784)Running in auto input_syntax mode. Trying TPTP
% 6.17/1.58  % (23829)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 (2991ds/160Mi)
% 6.17/1.63  % (23829)Instruction limit reached!
% 6.17/1.63  % (23829)------------------------------
% 6.17/1.63  % (23829)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.17/1.63  % (23829)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.17/1.63  % (23829)Termination reason: Time limit
% 6.17/1.63  % (23829)Termination phase: Function definition elimination
% 6.17/1.63  
% 6.17/1.63  % (23829)Memory used [KB]: 8285
% 6.17/1.63  % (23829)Time elapsed: 0.049 s
% 6.17/1.63  % (23829)Instructions burned: 163 (million)
% 7.16/1.64  % (23784)Running in auto input_syntax mode. Trying TPTP
% 7.16/1.64  % (23831)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 (2990ds/462Mi)
% 7.16/1.65  % (23823)Refutation not found, incomplete strategy% (23823)------------------------------
% 7.16/1.65  % (23823)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.16/1.65  % (23823)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.16/1.65  % (23823)Termination reason: Refutation not found, incomplete strategy
% 7.16/1.65  
% 7.16/1.65  % (23823)Memory used [KB]: 20749
% 7.16/1.65  % (23823)Time elapsed: 0.436 s
% 7.16/1.65  % (23823)Instructions burned: 987 (million)
% 7.16/1.65  % (23823)------------------------------
% 7.16/1.65  % (23823)------------------------------
% 7.42/1.68  % (23784)Running in auto input_syntax mode. Trying TPTP
% 7.42/1.68  % (23832)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 (2990ds/2185Mi)
% 7.42/1.71  % (23784)Running in auto input_syntax mode. Trying TPTP
% 7.42/1.71  % (23833)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 (2989ds/308Mi)
% 7.89/1.80  % (23833)Instruction limit reached!
% 7.89/1.80  % (23833)------------------------------
% 7.89/1.80  % (23833)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.89/1.81  % (23833)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.89/1.81  % (23833)Termination reason: Time limit
% 7.89/1.81  % (23833)Termination phase: Property scanning
% 7.89/1.81  
% 7.89/1.81  % (23833)Memory used [KB]: 14320
% 7.89/1.81  % (23833)Time elapsed: 0.098 s
% 7.89/1.81  % (23833)Instructions burned: 312 (million)
% 8.34/1.84  % (23784)Running in auto input_syntax mode. Trying TPTP
% 8.34/1.84  % (23834)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 (2988ds/336Mi)
% 8.34/1.87  % (23831)Instruction limit reached!
% 8.34/1.87  % (23831)------------------------------
% 8.34/1.87  % (23831)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.34/1.88  % (23831)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.34/1.88  % (23831)Termination reason: Time limit
% 8.34/1.88  % (23831)Termination phase: Saturation
% 8.34/1.88  
% 8.34/1.88  % (23831)Memory used [KB]: 11012
% 8.34/1.88  % (23831)Time elapsed: 0.237 s
% 8.34/1.88  % (23831)Instructions burned: 463 (million)
% 8.72/1.94  % (23784)Running in auto input_syntax mode. Trying TPTP
% 8.72/1.94  % (23835)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 (2987ds/349Mi)
% 8.72/1.96  % (23835)Refutation not found, incomplete strategy% (23835)------------------------------
% 8.72/1.96  % (23835)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.72/1.96  % (23835)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.72/1.96  % (23835)Termination reason: Refutation not found, incomplete strategy
% 8.72/1.96  
% 8.72/1.96  % (23835)Memory used [KB]: 6110
% 8.72/1.96  % (23835)Time elapsed: 0.026 s
% 8.72/1.96  % (23835)Instructions burned: 51 (million)
% 8.72/1.96  % (23835)------------------------------
% 8.72/1.96  % (23835)------------------------------
% 9.05/1.98  % (23834)Instruction limit reached!
% 9.05/1.98  % (23834)------------------------------
% 9.05/1.98  % (23834)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.05/1.98  % (23834)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.05/1.98  % (23834)Termination reason: Time limit
% 9.05/1.98  % (23834)Termination phase: Property scanning
% 9.05/1.98  
% 9.05/1.98  % (23834)Memory used [KB]: 13629
% 9.05/1.98  % (23834)Time elapsed: 0.140 s
% 9.05/1.98  % (23834)Instructions burned: 336 (million)
% 9.05/2.00  % (23784)Running in auto input_syntax mode. Trying TPTP
% 9.05/2.00  % (23836)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 (2986ds/193Mi)
% 9.05/2.03  % (23784)Running in auto input_syntax mode. Trying TPTP
% 9.05/2.03  % (23837)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 (2986ds/632Mi)
% 9.52/2.06  % (23837)Refutation not found, incomplete strategy% (23837)------------------------------
% 9.52/2.06  % (23837)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.52/2.06  % (23837)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.52/2.06  % (23837)Termination reason: Refutation not found, incomplete strategy
% 9.52/2.06  
% 9.52/2.06  % (23837)Memory used [KB]: 6729
% 9.52/2.06  % (23837)Time elapsed: 0.035 s
% 9.52/2.06  % (23837)Instructions burned: 110 (million)
% 9.52/2.06  % (23837)------------------------------
% 9.52/2.06  % (23837)------------------------------
% 9.68/2.09  % (23784)Running in auto input_syntax mode. Trying TPTP
% 9.68/2.09  % (23838)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 (2985ds/440Mi)
% 9.68/2.10  % (23836)Instruction limit reached!
% 9.68/2.10  % (23836)------------------------------
% 9.68/2.10  % (23836)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.68/2.10  % (23836)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.68/2.10  % (23836)Termination reason: Time limit
% 9.68/2.10  % (23836)Termination phase: Property scanning
% 9.68/2.10  
% 9.68/2.10  % (23836)Memory used [KB]: 9964
% 9.68/2.10  % (23836)Time elapsed: 0.101 s
% 9.68/2.10  % (23836)Instructions burned: 193 (million)
% 10.70/2.16  % (23784)Running in auto input_syntax mode. Trying TPTP
% 10.70/2.16  % (23839)lrs-1011_4:1_bsr=unit_only:sil=4000:sp=occurrence:lsd=20:newcnf=on:i=730:kws=inv_arity_squared:awrs=converge:rawr=on:rp=on:alpa=false:nwc=3.0_0 on theBenchmark for (2985ds/730Mi)
% 11.30/2.26  % (23838)Instruction limit reached!
% 11.30/2.26  % (23838)------------------------------
% 11.30/2.26  % (23838)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.30/2.26  % (23838)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.30/2.26  % (23838)Termination reason: Time limit
% 11.30/2.26  % (23838)Termination phase: Saturation
% 11.30/2.26  
% 11.30/2.26  % (23838)Memory used [KB]: 11844
% 11.30/2.26  % (23838)Time elapsed: 0.155 s
% 11.30/2.26  % (23838)Instructions burned: 441 (million)
% 11.70/2.31  % (23784)Running in auto input_syntax mode. Trying TPTP
% 11.70/2.31  % (23841)lrs+1002_8:1_sil=16000:plsq=on:sos=on:urr=on:plsql=on:st=1.2:i=228:sd=2:ss=axioms_0 on theBenchmark for (2983ds/228Mi)
% 12.39/2.41  % (23832)First to succeed.
% 12.39/2.41  % (23832)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23784"
% 12.39/2.42  % (23784)Running in auto input_syntax mode. Trying TPTP
% 12.39/2.42  % (23832)Refutation found. Thanks to Tanya!
% 12.39/2.42  % SZS status ContradictoryAxioms for theBenchmark
% 12.39/2.42  % SZS output start Proof for theBenchmark
% See solution above
% 12.39/2.42  % (23832)------------------------------
% 12.39/2.42  % (23832)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.39/2.42  % (23832)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.39/2.42  % (23832)Termination reason: Refutation
% 12.39/2.42  
% 12.39/2.42  % (23832)Memory used [KB]: 21933
% 12.39/2.42  % (23832)Time elapsed: 0.728 s
% 12.39/2.42  % (23832)Instructions burned: 1641 (million)
% 12.39/2.42  % (23832)------------------------------
% 12.39/2.42  % (23832)------------------------------
% 12.39/2.42  % (23784)Success in time 1.765 s
%------------------------------------------------------------------------------