TSTP Solution File: SWW332+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW332+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n009.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 18:32:04 EDT 2024

% Result   : ContradictoryAxioms 10.36s 2.26s
% Output   : Refutation 10.36s
% 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(f31787,plain,
    $false,
    inference(resolution,[],[f31438,f16790]) ).

fof(f16790,plain,
    class_Finite__Set_Ofinite(tc_HOL_Obool),
    inference(cnf_transformation,[],[f5132]) ).

fof(f5132,axiom,
    class_Finite__Set_Ofinite(tc_HOL_Obool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f31438,plain,
    ! [X0] : ~ class_Finite__Set_Ofinite(X0),
    inference(resolution,[],[f18336,f30603]) ).

fof(f30603,plain,
    ! [X0] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
    inference(resolution,[],[f30157,f21772]) ).

fof(f21772,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,[],[f13131]) ).

fof(f13131,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,[],[f8850]) ).

fof(f8850,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,[],[f405]) ).

fof(f405,axiom,
    ! [X104,X21,X125,X7] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X125))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X21),hAPP(c_Set_Oimage(X7,X21,X104),X125))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f30157,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,[],[f29606,f21137]) ).

fof(f21137,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,[],[f8281]) ).

fof(f8281,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,[],[f3049]) ).

fof(f3049,axiom,
    ! [X21,X22,X1,X7] : hBOOL(hAPP(hAPP(c_member(X7),hAPP(X1,X22)),hAPP(c_Set_Oimage(X21,X7,X1),c_Orderings_Otop__class_Otop(tc_fun(X21,tc_HOL_Obool))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f29606,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,[],[f17350,f17019]) ).

fof(f17019,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(cnf_transformation,[],[f5322]) ).

fof(f5322,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(rectify,[],[f418]) ).

fof(f418,axiom,
    ! [X16] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X16)),X16)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f17350,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,[],[f14478]) ).

fof(f14478,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])],[f14475,f14477,f14476]) ).

fof(f14476,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(f14477,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(f14475,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,[],[f14474]) ).

fof(f14474,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,[],[f10449]) ).

fof(f10449,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,[],[f5622]) ).

fof(f5622,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,[],[f921]) ).

fof(f921,axiom,
    ! [X122] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X122))
    <=> ? [X142] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X122))
         => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X142)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f18336,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(cnf_transformation,[],[f10839]) ).

fof(f10839,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(ennf_transformation,[],[f6431]) ).

fof(f6431,plain,
    ! [X0,X1] :
      ( class_Finite__Set_Ofinite(X1)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) ),
    inference(rectify,[],[f443]) ).

fof(f443,axiom,
    ! [X19,X7] :
      ( class_Finite__Set_Ofinite(X7)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X19)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWW332+1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.12  % Command    : run_vampire %s %d THM
% 0.11/0.33  % Computer : n009.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Wed Jun 19 05:35:09 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.35  This is a FOF_CAX_RFO_SEQ problem
% 0.11/0.35  Running first-order theorem proving
% 0.11/0.35  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.72  % (32505)Running in auto input_syntax mode. Trying TPTP
% 0.45/0.72  % (32506)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.51/0.73  % (32505)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.73  % (32509)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  % (32505)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.74  % (32511)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.51/0.74  % (32505)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.74  % (32512)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)
% 0.51/0.74  % (32505)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.74  % (32507)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)
% 0.51/0.74  % (32505)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.74  % (32508)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  % (32505)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.74  % (32510)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.51/0.86  % (32512)Instruction limit reached!
% 0.51/0.86  % (32512)------------------------------
% 0.51/0.86  % (32512)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.51/0.86  % (32512)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.51/0.86  % (32512)Termination reason: Time limit
% 0.51/0.86  % (32512)Termination phase: Saturation
% 0.51/0.86  
% 0.51/0.86  % (32512)Memory used [KB]: 9167
% 0.51/0.86  % (32512)Time elapsed: 0.126 s
% 0.51/0.86  % (32512)Instructions burned: 283 (million)
% 0.68/0.87  % (32510)Instruction limit reached!
% 0.68/0.87  % (32510)------------------------------
% 0.68/0.87  % (32510)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.68/0.87  % (32510)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.68/0.87  % (32510)Termination reason: Time limit
% 0.68/0.87  % (32510)Termination phase: Saturation
% 0.68/0.87  
% 0.68/0.87  % (32510)Memory used [KB]: 8104
% 0.68/0.87  % (32510)Time elapsed: 0.132 s
% 0.68/0.87  % (32510)Instructions burned: 251 (million)
% 0.86/0.89  % (32505)Running in auto input_syntax mode. Trying TPTP
% 0.86/0.89  % (32513)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)
% 0.86/0.90  % (32511)Instruction limit reached!
% 0.86/0.90  % (32511)------------------------------
% 0.86/0.90  % (32511)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.86/0.90  % (32511)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.86/0.90  % (32511)Termination reason: Time limit
% 0.86/0.90  % (32511)Termination phase: Saturation
% 0.86/0.90  
% 0.86/0.90  % (32511)Memory used [KB]: 7765
% 0.86/0.90  % (32511)Time elapsed: 0.169 s
% 0.86/0.90  % (32511)Instructions burned: 346 (million)
% 1.09/0.93  % (32505)Running in auto input_syntax mode. Trying TPTP
% 1.09/0.93  % (32514)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2997ds/402Mi)
% 1.09/0.96  % (32513)Instruction limit reached!
% 1.09/0.96  % (32513)------------------------------
% 1.09/0.96  % (32513)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.09/0.96  % (32513)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.09/0.96  % (32513)Termination reason: Time limit
% 1.09/0.96  % (32513)Termination phase: Preprocessing 3
% 1.09/0.96  
% 1.09/0.96  % (32513)Memory used [KB]: 8557
% 1.09/0.96  % (32513)Time elapsed: 0.064 s
% 1.09/0.96  % (32513)Instructions burned: 126 (million)
% 1.09/0.96  % (32505)Running in auto input_syntax mode. Trying TPTP
% 1.09/0.96  % (32515)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)
% 1.19/1.02  % (32505)Running in auto input_syntax mode. Trying TPTP
% 1.19/1.02  % (32516)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)
% 1.19/1.07  % (32514)Instruction limit reached!
% 1.19/1.07  % (32514)------------------------------
% 1.19/1.07  % (32514)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.19/1.07  % (32514)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.19/1.07  % (32514)Termination reason: Time limit
% 1.19/1.07  % (32514)Termination phase: Function definition elimination
% 1.19/1.07  
% 1.19/1.07  % (32514)Memory used [KB]: 14883
% 1.19/1.07  % (32514)Time elapsed: 0.150 s
% 1.19/1.07  % (32514)Instructions burned: 402 (million)
% 1.40/1.11  % (32516)Instruction limit reached!
% 1.40/1.11  % (32516)------------------------------
% 1.40/1.11  % (32516)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.40/1.11  % (32516)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.40/1.11  % (32516)Termination reason: Time limit
% 1.40/1.11  % (32516)Termination phase: Saturation
% 1.40/1.11  
% 1.40/1.11  % (32516)Memory used [KB]: 8207
% 1.40/1.11  % (32516)Time elapsed: 0.093 s
% 1.40/1.11  % (32516)Instructions burned: 267 (million)
% 1.40/1.12  % (32515)Instruction limit reached!
% 1.40/1.12  % (32515)------------------------------
% 1.40/1.12  % (32515)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.40/1.12  % (32515)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.40/1.12  % (32515)Termination reason: Time limit
% 1.40/1.12  % (32515)Termination phase: Saturation
% 1.40/1.12  
% 1.40/1.12  % (32515)Memory used [KB]: 8349
% 1.40/1.12  % (32515)Time elapsed: 0.161 s
% 1.40/1.12  % (32515)Instructions burned: 325 (million)
% 1.40/1.13  % (32505)Running in auto input_syntax mode. Trying TPTP
% 1.40/1.13  % (32517)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)
% 1.40/1.15  % (32505)Running in auto input_syntax mode. Trying TPTP
% 1.40/1.15  % (32518)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)
% 3.92/1.18  % (32505)Running in auto input_syntax mode. Trying TPTP
% 3.92/1.18  % (32519)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)
% 3.96/1.21  % (32518)Instruction limit reached!
% 3.96/1.21  % (32518)------------------------------
% 3.96/1.21  % (32518)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.96/1.21  % (32518)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.96/1.21  % (32518)Termination reason: Time limit
% 3.96/1.21  % (32518)Termination phase: Saturation
% 3.96/1.21  
% 3.96/1.21  % (32518)Memory used [KB]: 8146
% 3.96/1.21  % (32518)Time elapsed: 0.062 s
% 3.96/1.21  % (32518)Instructions burned: 200 (million)
% 3.96/1.21  % (32517)Instruction limit reached!
% 3.96/1.21  % (32517)------------------------------
% 3.96/1.21  % (32517)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.96/1.21  % (32517)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.96/1.21  % (32517)Termination reason: Time limit
% 3.96/1.21  % (32517)Termination phase: Saturation
% 3.96/1.21  
% 3.96/1.21  % (32517)Memory used [KB]: 7482
% 3.96/1.21  % (32517)Time elapsed: 0.079 s
% 3.96/1.21  % (32517)Instructions burned: 156 (million)
% 4.21/1.24  % (32505)Running in auto input_syntax mode. Trying TPTP
% 4.21/1.24  % (32520)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)
% 4.21/1.27  % (32505)Running in auto input_syntax mode. Trying TPTP
% 4.21/1.27  % (32521)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)
% 4.21/1.29  % (32519)Instruction limit reached!
% 4.21/1.29  % (32519)------------------------------
% 4.21/1.29  % (32519)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.21/1.29  % (32519)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.21/1.29  % (32519)Termination reason: Time limit
% 4.21/1.29  % (32519)Termination phase: Saturation
% 4.21/1.29  
% 4.21/1.29  % (32519)Memory used [KB]: 7502
% 4.21/1.29  % (32519)Time elapsed: 0.112 s
% 4.21/1.29  % (32519)Instructions burned: 204 (million)
% 4.60/1.35  % (32505)Running in auto input_syntax mode. Trying TPTP
% 4.60/1.35  % (32522)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 (2993ds/426Mi)
% 4.87/1.43  % (32521)Instruction limit reached!
% 4.87/1.43  % (32521)------------------------------
% 4.87/1.43  % (32521)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.87/1.43  % (32521)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.87/1.43  % (32521)Termination reason: Time limit
% 4.87/1.43  % (32521)Termination phase: Saturation
% 4.87/1.43  
% 4.87/1.43  % (32521)Memory used [KB]: 10241
% 4.87/1.43  % (32521)Time elapsed: 0.160 s
% 4.87/1.43  % (32521)Instructions burned: 317 (million)
% 5.49/1.47  % (32505)Running in auto input_syntax mode. Trying TPTP
% 5.49/1.47  % (32523)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)
% 5.73/1.55  % (32522)Instruction limit reached!
% 5.73/1.55  % (32522)------------------------------
% 5.73/1.55  % (32522)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.73/1.55  % (32522)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.73/1.55  % (32522)Termination reason: Time limit
% 5.73/1.55  % (32522)Termination phase: Function definition elimination
% 5.73/1.55  
% 5.73/1.55  % (32522)Memory used [KB]: 14769
% 5.73/1.55  % (32522)Time elapsed: 0.203 s
% 5.73/1.55  % (32522)Instructions burned: 426 (million)
% 5.73/1.56  % (32523)Instruction limit reached!
% 5.73/1.56  % (32523)------------------------------
% 5.73/1.56  % (32523)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.73/1.56  % (32523)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.73/1.56  % (32523)Termination reason: Time limit
% 5.73/1.56  % (32523)Termination phase: Saturation
% 5.73/1.56  
% 5.73/1.56  % (32523)Memory used [KB]: 8184
% 5.73/1.57  % (32523)Time elapsed: 0.092 s
% 5.73/1.57  % (32523)Instructions burned: 260 (million)
% 5.73/1.60  % (32505)Running in auto input_syntax mode. Trying TPTP
% 5.73/1.60  % (32525)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)
% 6.43/1.62  % (32505)Running in auto input_syntax mode. Trying TPTP
% 6.43/1.62  % (32524)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)
% 6.43/1.69  % (32524)Instruction limit reached!
% 6.43/1.69  % (32524)------------------------------
% 6.43/1.69  % (32524)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.43/1.69  % (32524)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.43/1.69  % (32524)Termination reason: Time limit
% 6.43/1.69  % (32524)Termination phase: Saturation
% 6.43/1.69  
% 6.43/1.69  % (32524)Memory used [KB]: 7598
% 6.43/1.69  % (32524)Time elapsed: 0.079 s
% 6.43/1.69  % (32524)Instructions burned: 161 (million)
% 7.49/1.70  % (32520)Instruction limit reached!
% 7.49/1.70  % (32520)------------------------------
% 7.49/1.70  % (32520)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.49/1.70  % (32520)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.49/1.70  % (32520)Termination reason: Time limit
% 7.49/1.70  % (32520)Termination phase: Saturation
% 7.49/1.70  
% 7.49/1.70  % (32520)Memory used [KB]: 22533
% 7.49/1.70  % (32520)Time elapsed: 0.458 s
% 7.49/1.70  % (32520)Instructions burned: 1028 (million)
% 7.49/1.76  % (32525)Instruction limit reached!
% 7.49/1.76  % (32525)------------------------------
% 7.49/1.76  % (32525)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.49/1.76  % (32525)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.49/1.76  % (32525)Termination reason: Time limit
% 7.49/1.76  % (32525)Termination phase: Saturation
% 7.49/1.76  
% 7.49/1.76  % (32525)Memory used [KB]: 10629
% 7.49/1.76  % (32525)Time elapsed: 0.177 s
% 7.49/1.76  % (32525)Instructions burned: 462 (million)
% 7.49/1.76  % (32505)Running in auto input_syntax mode. Trying TPTP
% 7.49/1.76  % (32526)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 (2989ds/2185Mi)
% 7.49/1.76  % (32505)Running in auto input_syntax mode. Trying TPTP
% 7.49/1.76  % (32527)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)
% 7.96/1.79  % (32505)Running in auto input_syntax mode. Trying TPTP
% 7.96/1.79  % (32528)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)
% 8.09/1.89  % (32528)Instruction limit reached!
% 8.09/1.89  % (32528)------------------------------
% 8.09/1.89  % (32528)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.09/1.89  % (32528)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.09/1.89  % (32528)Termination reason: Time limit
% 8.09/1.89  % (32528)Termination phase: Property scanning
% 8.09/1.89  
% 8.09/1.89  % (32528)Memory used [KB]: 13585
% 8.09/1.89  % (32528)Time elapsed: 0.102 s
% 8.09/1.89  % (32528)Instructions burned: 338 (million)
% 8.55/1.91  % (32527)Instruction limit reached!
% 8.55/1.91  % (32527)------------------------------
% 8.55/1.91  % (32527)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.55/1.91  % (32527)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.55/1.91  % (32527)Termination reason: Time limit
% 8.55/1.91  % (32527)Termination phase: Property scanning
% 8.55/1.91  
% 8.55/1.91  % (32527)Memory used [KB]: 14391
% 8.55/1.91  % (32527)Time elapsed: 0.154 s
% 8.55/1.91  % (32527)Instructions burned: 308 (million)
% 8.55/1.93  % (32505)Running in auto input_syntax mode. Trying TPTP
% 8.55/1.93  % (32529)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)
% 8.55/1.98  % (32505)Running in auto input_syntax mode. Trying TPTP
% 8.55/1.98  % (32530)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 (2987ds/193Mi)
% 9.08/2.03  % (32529)Instruction limit reached!
% 9.08/2.03  % (32529)------------------------------
% 9.08/2.03  % (32529)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.08/2.03  % (32529)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.08/2.03  % (32529)Termination reason: Time limit
% 9.08/2.03  % (32529)Termination phase: Saturation
% 9.08/2.03  
% 9.08/2.03  % (32529)Memory used [KB]: 7167
% 9.08/2.03  % (32529)Time elapsed: 0.099 s
% 9.08/2.03  % (32529)Instructions burned: 351 (million)
% 9.08/2.06  % (32505)Running in auto input_syntax mode. Trying TPTP
% 9.08/2.06  % (32531)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)
% 9.57/2.08  % (32530)Instruction limit reached!
% 9.57/2.08  % (32530)------------------------------
% 9.57/2.08  % (32530)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.57/2.08  % (32530)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.57/2.08  % (32530)Termination reason: Time limit
% 9.57/2.08  % (32530)Termination phase: Property scanning
% 9.57/2.08  
% 9.57/2.08  % (32530)Memory used [KB]: 10594
% 9.57/2.08  % (32530)Time elapsed: 0.103 s
% 9.57/2.08  % (32530)Instructions burned: 195 (million)
% 9.89/2.11  % (32531)Refutation not found, incomplete strategy% (32531)------------------------------
% 9.89/2.11  % (32531)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.89/2.11  % (32531)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.89/2.11  % (32531)Termination reason: Refutation not found, incomplete strategy
% 9.89/2.11  
% 9.89/2.11  % (32531)Memory used [KB]: 7514
% 9.89/2.11  % (32531)Time elapsed: 0.074 s
% 9.89/2.11  % (32531)Instructions burned: 178 (million)
% 9.89/2.11  % (32531)------------------------------
% 9.89/2.11  % (32531)------------------------------
% 10.01/2.14  % (32505)Running in auto input_syntax mode. Trying TPTP
% 10.01/2.14  % (32532)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 (2986ds/440Mi)
% 10.01/2.17  % (32505)Running in auto input_syntax mode. Trying TPTP
% 10.01/2.17  % (32533)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)
% 10.36/2.26  % (32526)First to succeed.
% 10.36/2.26  % (32526)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32505"
% 10.36/2.26  % (32505)Running in auto input_syntax mode. Trying TPTP
% 10.36/2.26  % (32526)Refutation found. Thanks to Tanya!
% 10.36/2.26  % SZS status ContradictoryAxioms for theBenchmark
% 10.36/2.26  % SZS output start Proof for theBenchmark
% See solution above
% 10.36/2.26  % (32526)------------------------------
% 10.36/2.26  % (32526)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.36/2.26  % (32526)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.36/2.26  % (32526)Termination reason: Refutation
% 10.36/2.26  
% 10.36/2.26  % (32526)Memory used [KB]: 17504
% 10.36/2.26  % (32526)Time elapsed: 0.525 s
% 10.36/2.26  % (32526)Instructions burned: 1051 (million)
% 10.36/2.26  % (32526)------------------------------
% 10.36/2.26  % (32526)------------------------------
% 10.36/2.26  % (32505)Success in time 1.58 s
%------------------------------------------------------------------------------