TSTP Solution File: SWW331+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW331+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n012.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 11.64s 2.42s
% Output   : Refutation 11.64s
% 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(f31508,plain,
    $false,
    inference(resolution,[],[f31174,f16794]) ).

fof(f16794,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(f31174,plain,
    ! [X0] : ~ class_Finite__Set_Ofinite(X0),
    inference(resolution,[],[f18340,f30584]) ).

fof(f30584,plain,
    ! [X0] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
    inference(resolution,[],[f30169,f21776]) ).

fof(f21776,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,[],[f220]) ).

fof(f220,axiom,
    ! [X106,X20,X110,X7] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X110))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X20),hAPP(c_Set_Oimage(X7,X20,X106),X110))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f30169,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,[],[f29629,f21141]) ).

fof(f21141,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,[],[f2110]) ).

fof(f2110,axiom,
    ! [X20,X21,X1,X7] : hBOOL(hAPP(hAPP(c_member(X7),hAPP(X1,X21)),hAPP(c_Set_Oimage(X20,X7,X1),c_Orderings_Otop__class_Otop(tc_fun(X20,tc_HOL_Obool))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f29629,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,[],[f17354,f17023]) ).

fof(f17023,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,[],[f804]) ).

fof(f804,axiom,
    ! [X15] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X15)),X15)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f17354,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,[],[f14481]) ).

fof(f14481,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])],[f14478,f14480,f14479]) ).

fof(f14479,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(f14480,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(f14478,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,[],[f14477]) ).

fof(f14477,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,[],[f1120]) ).

fof(f1120,axiom,
    ! [X117] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X117))
    <=> ? [X129] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X117))
         => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X129)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f18340,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,[],[f263]) ).

fof(f263,axiom,
    ! [X18,X7] :
      ( class_Finite__Set_Ofinite(X7)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X7),X18)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SWW331+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.10  % Command    : run_vampire %s %d THM
% 0.10/0.31  % Computer : n012.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Wed Jun 19 05:26:08 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.16/0.32  This is a FOF_CAX_RFO_SEQ problem
% 0.16/0.33  Running first-order theorem proving
% 0.16/0.33  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.82  % (19119)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.82  % (19125)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.60/0.82  % (19119)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.82  % (19122)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)
% 0.60/0.82  % (19119)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.82  % (19124)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.60/0.82  % (19119)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.82  % (19121)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)
% 0.60/0.82  % (19119)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.82  % (19126)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)
% 0.60/0.82  % (19119)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.82  % (19120)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.60/0.82  % (19119)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.82  % (19123)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.60/0.95  % (19124)Instruction limit reached!
% 0.60/0.95  % (19124)------------------------------
% 0.60/0.95  % (19124)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.60/0.95  % (19124)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.60/0.95  % (19124)Termination reason: Time limit
% 0.60/0.95  % (19124)Termination phase: Saturation
% 0.60/0.95  
% 0.60/0.95  % (19124)Memory used [KB]: 8149
% 0.60/0.95  % (19124)Time elapsed: 0.132 s
% 0.60/0.95  % (19124)Instructions burned: 251 (million)
% 0.60/0.95  % (19126)Instruction limit reached!
% 0.60/0.95  % (19126)------------------------------
% 0.60/0.95  % (19126)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.60/0.95  % (19126)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.60/0.95  % (19126)Termination reason: Time limit
% 0.60/0.95  % (19126)Termination phase: Saturation
% 0.60/0.95  
% 0.60/0.95  % (19126)Memory used [KB]: 9115
% 0.60/0.95  % (19126)Time elapsed: 0.133 s
% 0.60/0.95  % (19126)Instructions burned: 282 (million)
% 0.95/0.99  % (19125)Instruction limit reached!
% 0.95/0.99  % (19125)------------------------------
% 0.95/0.99  % (19125)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.95/0.99  % (19125)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.95/0.99  % (19125)Termination reason: Time limit
% 0.95/0.99  % (19125)Termination phase: Saturation
% 0.95/0.99  
% 0.95/0.99  % (19125)Memory used [KB]: 7768
% 0.95/0.99  % (19125)Time elapsed: 0.173 s
% 0.95/0.99  % (19125)Instructions burned: 348 (million)
% 0.95/1.00  % (19119)Running in auto input_syntax mode. Trying TPTP
% 0.95/1.00  % (19127)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2997ds/125Mi)
% 0.95/1.01  % (19119)Running in auto input_syntax mode. Trying TPTP
% 0.95/1.01  % (19128)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2997ds/402Mi)
% 1.18/1.05  % (19119)Running in auto input_syntax mode. Trying TPTP
% 1.18/1.05  % (19129)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)
% 1.18/1.08  % (19127)Instruction limit reached!
% 1.18/1.08  % (19127)------------------------------
% 1.18/1.08  % (19127)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.18/1.08  % (19127)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.18/1.08  % (19127)Termination reason: Time limit
% 1.18/1.08  % (19127)Termination phase: Preprocessing 3
% 1.18/1.08  
% 1.18/1.08  % (19127)Memory used [KB]: 8559
% 1.18/1.08  % (19127)Time elapsed: 0.073 s
% 1.18/1.08  % (19127)Instructions burned: 126 (million)
% 2.69/1.14  % (19119)Running in auto input_syntax mode. Trying TPTP
% 2.69/1.14  % (19130)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2996ds/267Mi)
% 3.35/1.20  % (19128)Instruction limit reached!
% 3.35/1.20  % (19128)------------------------------
% 3.35/1.20  % (19128)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.35/1.20  % (19128)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.35/1.20  % (19128)Termination reason: Time limit
% 3.35/1.20  % (19128)Termination phase: Function definition elimination
% 3.35/1.20  
% 3.35/1.20  % (19128)Memory used [KB]: 14888
% 3.35/1.20  % (19128)Time elapsed: 0.191 s
% 3.35/1.20  % (19128)Instructions burned: 402 (million)
% 3.35/1.21  % (19129)Instruction limit reached!
% 3.35/1.21  % (19129)------------------------------
% 3.35/1.21  % (19129)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.35/1.21  % (19129)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.35/1.21  % (19129)Termination reason: Time limit
% 3.35/1.21  % (19129)Termination phase: Saturation
% 3.35/1.21  
% 3.35/1.21  % (19129)Memory used [KB]: 8313
% 3.35/1.21  % (19129)Time elapsed: 0.162 s
% 3.35/1.21  % (19129)Instructions burned: 325 (million)
% 3.63/1.25  % (19119)Running in auto input_syntax mode. Trying TPTP
% 3.63/1.25  % (19131)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=156:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on theBenchmark for (2995ds/156Mi)
% 3.63/1.27  % (19119)Running in auto input_syntax mode. Trying TPTP
% 3.63/1.27  % (19132)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)
% 3.63/1.27  % (19130)Instruction limit reached!
% 3.63/1.27  % (19130)------------------------------
% 3.63/1.27  % (19130)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.63/1.27  % (19130)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.63/1.27  % (19130)Termination reason: Time limit
% 3.63/1.27  % (19130)Termination phase: Saturation
% 3.63/1.27  
% 3.63/1.27  % (19130)Memory used [KB]: 8225
% 3.63/1.27  % (19130)Time elapsed: 0.139 s
% 3.63/1.27  % (19130)Instructions burned: 268 (million)
% 4.09/1.33  % (19119)Running in auto input_syntax mode. Trying TPTP
% 4.09/1.33  % (19133)dis-1010_1:4_sil=2000:tgt=ground:fd=off:i=203:sd=1:nm=4:av=off:ss=axioms:sgt=64:newcnf=on_0 on theBenchmark for (2994ds/203Mi)
% 4.09/1.33  % (19131)Instruction limit reached!
% 4.09/1.33  % (19131)------------------------------
% 4.09/1.33  % (19131)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.09/1.33  % (19131)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.09/1.33  % (19131)Termination reason: Time limit
% 4.09/1.33  % (19131)Termination phase: Saturation
% 4.09/1.33  
% 4.09/1.33  % (19131)Memory used [KB]: 7493
% 4.09/1.33  % (19131)Time elapsed: 0.082 s
% 4.09/1.33  % (19131)Instructions burned: 156 (million)
% 4.47/1.37  % (19132)Instruction limit reached!
% 4.47/1.37  % (19132)------------------------------
% 4.47/1.37  % (19132)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.47/1.37  % (19132)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.47/1.37  % (19132)Termination reason: Time limit
% 4.47/1.37  % (19132)Termination phase: Saturation
% 4.47/1.37  
% 4.47/1.37  % (19132)Memory used [KB]: 8149
% 4.47/1.37  % (19132)Time elapsed: 0.100 s
% 4.47/1.37  % (19132)Instructions burned: 201 (million)
% 4.47/1.40  % (19119)Running in auto input_syntax mode. Trying TPTP
% 4.47/1.40  % (19134)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)
% 4.47/1.43  % (19119)Running in auto input_syntax mode. Trying TPTP
% 4.47/1.43  % (19135)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=316:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2993ds/316Mi)
% 4.47/1.44  % (19133)Instruction limit reached!
% 4.47/1.44  % (19133)------------------------------
% 4.47/1.44  % (19133)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.47/1.44  % (19133)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.47/1.44  % (19133)Termination reason: Time limit
% 4.47/1.44  % (19133)Termination phase: Saturation
% 4.47/1.44  
% 4.47/1.44  % (19133)Memory used [KB]: 7499
% 4.47/1.44  % (19133)Time elapsed: 0.116 s
% 4.47/1.44  % (19133)Instructions burned: 204 (million)
% 5.28/1.50  % (19119)Running in auto input_syntax mode. Trying TPTP
% 5.28/1.50  % (19136)lrs+10_8:1_bsr=unit_only:sil=4000:urr=on:lcm=reverse:rp=on:i=426:sd=1:nm=6:av=off:ss=included:sup=off:sos=on_0 on theBenchmark for (2992ds/426Mi)
% 5.50/1.59  % (19135)Instruction limit reached!
% 5.50/1.59  % (19135)------------------------------
% 5.50/1.59  % (19135)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.50/1.59  % (19135)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.50/1.59  % (19135)Termination reason: Time limit
% 5.50/1.59  % (19135)Termination phase: Saturation
% 5.50/1.59  
% 5.50/1.59  % (19135)Memory used [KB]: 10245
% 5.50/1.59  % (19135)Time elapsed: 0.165 s
% 5.50/1.59  % (19135)Instructions burned: 317 (million)
% 6.50/1.65  % (19119)Running in auto input_syntax mode. Trying TPTP
% 6.50/1.65  % (19137)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=260:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2991ds/260Mi)
% 6.91/1.71  % (19136)Instruction limit reached!
% 6.91/1.71  % (19136)------------------------------
% 6.91/1.71  % (19136)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.91/1.71  % (19136)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.91/1.71  % (19136)Termination reason: Time limit
% 6.91/1.71  % (19136)Termination phase: Function definition elimination
% 6.91/1.71  
% 6.91/1.71  % (19136)Memory used [KB]: 14796
% 6.91/1.71  % (19136)Time elapsed: 0.207 s
% 6.91/1.71  % (19136)Instructions burned: 427 (million)
% 6.91/1.77  % (19119)Running in auto input_syntax mode. Trying TPTP
% 6.91/1.77  % (19138)lrs+2_1:1_drc=encompass:sil=2000:urr=on:nwc=10.0:i=160:sd=3:fsr=off:ss=axioms:fd=preordered:bd=off:sup=off_0 on theBenchmark for (2990ds/160Mi)
% 7.57/1.78  % (19137)Instruction limit reached!
% 7.57/1.78  % (19137)------------------------------
% 7.57/1.78  % (19137)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.57/1.79  % (19137)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.57/1.79  % (19137)Termination reason: Time limit
% 7.57/1.79  % (19137)Termination phase: Saturation
% 7.57/1.79  
% 7.57/1.79  % (19137)Memory used [KB]: 8201
% 7.57/1.79  % (19137)Time elapsed: 0.135 s
% 7.57/1.79  % (19137)Instructions burned: 262 (million)
% 7.77/1.84  % (19119)Running in auto input_syntax mode. Trying TPTP
% 7.77/1.84  % (19139)dis+11_5603931:1048576_bsr=on:sfv=off:slsqr=176855,1048576:sil=2000:plsq=on:plsqr=4348351,262144:sp=occurrence:spb=units:lcm=predicate:fd=off:nwc=1.37809:s2agt=10:slsq=on:s2a=on:i=462:bs=unit_only:sd=3:kws=arity_squared:slsql=off:bd=off:nm=26:av=off:ss=axioms:sgt=15:fsr=off_0 on theBenchmark for (2989ds/462Mi)
% 7.77/1.85  % (19138)Instruction limit reached!
% 7.77/1.85  % (19138)------------------------------
% 7.77/1.85  % (19138)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.77/1.85  % (19138)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.77/1.85  % (19138)Termination reason: Time limit
% 7.77/1.85  % (19138)Termination phase: Saturation
% 7.77/1.85  
% 7.77/1.85  % (19138)Memory used [KB]: 7657
% 7.77/1.85  % (19138)Time elapsed: 0.081 s
% 7.77/1.85  % (19138)Instructions burned: 160 (million)
% 7.77/1.88  % (19134)Instruction limit reached!
% 7.77/1.88  % (19134)------------------------------
% 7.77/1.88  % (19134)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.77/1.88  % (19134)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.77/1.88  % (19134)Termination reason: Time limit
% 7.77/1.88  % (19134)Termination phase: Saturation
% 7.77/1.88  
% 7.77/1.88  % (19134)Memory used [KB]: 22447
% 7.77/1.88  % (19134)Time elapsed: 0.478 s
% 7.77/1.88  % (19134)Instructions burned: 1027 (million)
% 7.77/1.90  % (19119)Running in auto input_syntax mode. Trying TPTP
% 7.77/1.90  % (19140)dis+1010_3:2_sil=4000:plsq=on:s2agt=100:sac=on:s2a=on:i=2185:s2at=2.0:ep=RS:tgt=full_0 on theBenchmark for (2988ds/2185Mi)
% 8.31/1.93  % (19119)Running in auto input_syntax mode. Trying TPTP
% 8.31/1.93  % (19141)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 (2988ds/308Mi)
% 9.04/2.09  % (19141)Instruction limit reached!
% 9.04/2.09  % (19141)------------------------------
% 9.04/2.09  % (19141)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.04/2.09  % (19141)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.04/2.09  % (19141)Termination reason: Time limit
% 9.04/2.09  % (19141)Termination phase: Property scanning
% 9.04/2.09  
% 9.04/2.09  % (19141)Memory used [KB]: 14391
% 9.04/2.09  % (19141)Time elapsed: 0.156 s
% 9.04/2.09  % (19141)Instructions burned: 308 (million)
% 9.04/2.10  % (19139)Instruction limit reached!
% 9.04/2.10  % (19139)------------------------------
% 9.04/2.10  % (19139)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.04/2.10  % (19139)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.04/2.10  % (19139)Termination reason: Time limit
% 9.04/2.10  % (19139)Termination phase: Saturation
% 9.04/2.10  
% 9.04/2.10  % (19139)Memory used [KB]: 10573
% 9.04/2.10  % (19139)Time elapsed: 0.262 s
% 9.04/2.10  % (19139)Instructions burned: 462 (million)
% 10.10/2.15  % (19119)Running in auto input_syntax mode. Trying TPTP
% 10.10/2.15  % (19142)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 (2986ds/336Mi)
% 10.10/2.17  % (19119)Running in auto input_syntax mode. Trying TPTP
% 10.10/2.17  % (19143)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 (2986ds/349Mi)
% 10.69/2.29  % (19142)Instruction limit reached!
% 10.69/2.29  % (19142)------------------------------
% 10.69/2.29  % (19142)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.69/2.29  % (19142)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.69/2.29  % (19142)Termination reason: Time limit
% 10.69/2.29  % (19142)Termination phase: Property scanning
% 10.69/2.29  
% 10.69/2.29  % (19142)Memory used [KB]: 13586
% 10.69/2.29  % (19142)Time elapsed: 0.150 s
% 10.69/2.29  % (19142)Instructions burned: 337 (million)
% 11.23/2.35  % (19143)Instruction limit reached!
% 11.23/2.35  % (19143)------------------------------
% 11.23/2.35  % (19143)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.23/2.35  % (19143)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.23/2.35  % (19143)Termination reason: Time limit
% 11.23/2.35  % (19143)Termination phase: Saturation
% 11.23/2.35  
% 11.23/2.35  % (19143)Memory used [KB]: 7231
% 11.23/2.35  % (19143)Time elapsed: 0.181 s
% 11.23/2.35  % (19143)Instructions burned: 349 (million)
% 11.23/2.35  % (19119)Running in auto input_syntax mode. Trying TPTP
% 11.23/2.35  % (19144)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 (2984ds/193Mi)
% 11.64/2.41  % (19140)First to succeed.
% 11.64/2.42  % (19140)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19119"
% 11.64/2.42  % (19119)Running in auto input_syntax mode. Trying TPTP
% 11.64/2.42  % (19145)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 (2983ds/632Mi)
% 11.64/2.42  % (19119)Running in auto input_syntax mode. Trying TPTP
% 11.64/2.42  % (19140)Refutation found. Thanks to Tanya!
% 11.64/2.42  % SZS status ContradictoryAxioms for theBenchmark
% 11.64/2.42  % SZS output start Proof for theBenchmark
% See solution above
% 11.64/2.42  % (19140)------------------------------
% 11.64/2.42  % (19140)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.64/2.42  % (19140)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.64/2.42  % (19140)Termination reason: Refutation
% 11.64/2.42  
% 11.64/2.42  % (19140)Memory used [KB]: 17478
% 11.64/2.42  % (19140)Time elapsed: 0.513 s
% 11.64/2.42  % (19140)Instructions burned: 1049 (million)
% 11.64/2.42  % (19140)------------------------------
% 11.64/2.42  % (19140)------------------------------
% 11.64/2.42  % (19119)Success in time 1.672 s
%------------------------------------------------------------------------------