TSTP Solution File: SWW352+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW352+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n002.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 18:32:09 EDT 2024

% Result   : ContradictoryAxioms 8.03s 1.80s
% Output   : Refutation 8.03s
% 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(f35887,plain,
    $false,
    inference(resolution,[],[f35851,f16652]) ).

fof(f16652,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/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f35851,plain,
    ! [X0] : ~ class_Finite__Set_Ofinite(X0),
    inference(resolution,[],[f34357,f18223]) ).

fof(f18223,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(cnf_transformation,[],[f10842]) ).

fof(f10842,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(ennf_transformation,[],[f6448]) ).

fof(f6448,plain,
    ! [X0,X1] :
      ( class_Finite__Set_Ofinite(X1)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) ),
    inference(rectify,[],[f76]) ).

fof(f76,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(f34357,plain,
    ! [X0] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
    inference(resolution,[],[f31643,f21591]) ).

fof(f21591,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,[],[f13075]) ).

fof(f13075,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,[],[f8834]) ).

fof(f8834,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,[],[f323]) ).

fof(f323,axiom,
    ! [X97,X14,X71,X4] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X71))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X14),hAPP(c_Set_Oimage(X4,X14,X97),X71))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f31643,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,[],[f20980,f29587]) ).

fof(f29587,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,[],[f16902,f17242]) ).

fof(f17242,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,[],[f14386]) ).

fof(f14386,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])],[f14383,f14385,f14384]) ).

fof(f14384,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(f14385,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(f14383,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,[],[f14382]) ).

fof(f14382,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,[],[f10468]) ).

fof(f10468,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,[],[f5645]) ).

fof(f5645,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,[],[f1494]) ).

fof(f1494,axiom,
    ! [X107] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X107))
    <=> ? [X148] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X107))
         => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X148)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f16902,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(cnf_transformation,[],[f5336]) ).

fof(f5336,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(rectify,[],[f608]) ).

fof(f608,axiom,
    ! [X86] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X86)),X86)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f20980,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,[],[f8280]) ).

fof(f8280,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,[],[f1175]) ).

fof(f1175,axiom,
    ! [X14,X13,X1,X4] : hBOOL(hAPP(hAPP(c_member(X4),hAPP(X1,X13)),hAPP(c_Set_Oimage(X14,X4,X1),c_Orderings_Otop__class_Otop(tc_fun(X14,tc_HOL_Obool))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWW352+1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.13  % Command    : run_vampire %s %d THM
% 0.13/0.34  % Computer : n002.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 07:26:54 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.36  This is a FOF_CAX_RFO_SEQ problem
% 0.13/0.37  Running first-order theorem proving
% 0.13/0.37  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.72  % (15043)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (15121)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  % (15043)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (15120)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  % (15043)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (15117)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  % (15043)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (15116)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  % (15043)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (15118)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  % (15043)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (15122)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)
% 0.51/0.72  % (15043)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.72  % (15119)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.51/0.84  % (15122)Instruction limit reached!
% 0.51/0.84  % (15122)------------------------------
% 0.51/0.84  % (15122)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.51/0.84  % (15122)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.51/0.84  % (15122)Termination reason: Time limit
% 0.51/0.84  % (15122)Termination phase: Saturation
% 0.51/0.84  
% 0.51/0.84  % (15122)Memory used [KB]: 9073
% 0.51/0.84  % (15122)Time elapsed: 0.118 s
% 0.51/0.84  % (15122)Instructions burned: 285 (million)
% 0.51/0.84  % (15120)Instruction limit reached!
% 0.51/0.84  % (15120)------------------------------
% 0.51/0.84  % (15120)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.51/0.84  % (15120)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.51/0.84  % (15120)Termination reason: Time limit
% 0.51/0.84  % (15120)Termination phase: Saturation
% 0.51/0.84  
% 0.51/0.84  % (15120)Memory used [KB]: 8222
% 0.51/0.84  % (15120)Time elapsed: 0.119 s
% 0.51/0.84  % (15120)Instructions burned: 252 (million)
% 0.85/0.86  % (15121)Instruction limit reached!
% 0.85/0.86  % (15121)------------------------------
% 0.85/0.86  % (15121)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.85/0.86  % (15121)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.85/0.86  % (15121)Termination reason: Time limit
% 0.85/0.86  % (15121)Termination phase: Saturation
% 0.85/0.86  
% 0.85/0.86  % (15121)Memory used [KB]: 7607
% 0.85/0.86  % (15121)Time elapsed: 0.143 s
% 0.85/0.86  % (15121)Instructions burned: 348 (million)
% 0.85/0.87  % (15043)Running in auto input_syntax mode. Trying TPTP
% 0.85/0.87  % (15162)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)
% 0.85/0.87  % (15043)Running in auto input_syntax mode. Trying TPTP
% 0.85/0.87  % (15163)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 0.85/0.90  % (15043)Running in auto input_syntax mode. Trying TPTP
% 0.85/0.90  % (15164)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)
% 0.85/0.92  % (15162)Instruction limit reached!
% 0.85/0.92  % (15162)------------------------------
% 0.85/0.92  % (15162)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.85/0.92  % (15162)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.85/0.92  % (15162)Termination reason: Time limit
% 0.85/0.92  % (15162)Termination phase: Preprocessing 3
% 0.85/0.92  
% 0.85/0.92  % (15162)Memory used [KB]: 9080
% 0.85/0.92  % (15162)Time elapsed: 0.046 s
% 0.85/0.92  % (15162)Instructions burned: 125 (million)
% 1.14/0.95  % (15043)Running in auto input_syntax mode. Trying TPTP
% 1.14/0.95  % (15165)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)
% 1.15/0.99  % (15163)Instruction limit reached!
% 1.15/0.99  % (15163)------------------------------
% 1.15/0.99  % (15163)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.15/0.99  % (15163)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.15/0.99  % (15163)Termination reason: Time limit
% 1.15/0.99  % (15163)Termination phase: Function definition elimination
% 1.15/0.99  
% 1.15/0.99  % (15163)Memory used [KB]: 14754
% 1.15/0.99  % (15163)Time elapsed: 0.118 s
% 1.15/0.99  % (15163)Instructions burned: 403 (million)
% 1.15/1.00  % (15164)Instruction limit reached!
% 1.15/1.00  % (15164)------------------------------
% 1.15/1.00  % (15164)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.15/1.00  % (15164)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.15/1.00  % (15164)Termination reason: Time limit
% 1.15/1.00  % (15164)Termination phase: Saturation
% 1.15/1.00  
% 1.15/1.00  % (15164)Memory used [KB]: 9789
% 1.15/1.00  % (15164)Time elapsed: 0.104 s
% 1.15/1.00  % (15164)Instructions burned: 327 (million)
% 1.15/1.03  % (15043)Running in auto input_syntax mode. Trying TPTP
% 1.15/1.03  % (15166)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)
% 1.15/1.04  % (15043)Running in auto input_syntax mode. Trying TPTP
% 1.15/1.04  % (15167)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)
% 1.44/1.05  % (15165)Instruction limit reached!
% 1.44/1.05  % (15165)------------------------------
% 1.44/1.05  % (15165)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.44/1.05  % (15165)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.44/1.05  % (15165)Termination reason: Time limit
% 1.44/1.05  % (15165)Termination phase: Saturation
% 1.44/1.05  
% 1.44/1.05  % (15165)Memory used [KB]: 7879
% 1.44/1.05  % (15165)Time elapsed: 0.093 s
% 1.44/1.05  % (15165)Instructions burned: 267 (million)
% 3.32/1.08  % (15166)Instruction limit reached!
% 3.32/1.08  % (15166)------------------------------
% 3.32/1.08  % (15166)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.32/1.08  % (15166)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.32/1.08  % (15166)Termination reason: Time limit
% 3.32/1.08  % (15166)Termination phase: Saturation
% 3.32/1.08  
% 3.32/1.08  % (15166)Memory used [KB]: 7733
% 3.32/1.08  % (15166)Time elapsed: 0.053 s
% 3.32/1.08  % (15166)Instructions burned: 157 (million)
% 3.32/1.08  % (15043)Running in auto input_syntax mode. Trying TPTP
% 3.32/1.08  % (15168)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)
% 3.32/1.10  % (15167)Instruction limit reached!
% 3.32/1.10  % (15167)------------------------------
% 3.32/1.10  % (15167)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.32/1.10  % (15167)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.32/1.10  % (15167)Termination reason: Time limit
% 3.32/1.10  % (15167)Termination phase: Saturation
% 3.32/1.10  
% 3.32/1.10  % (15167)Memory used [KB]: 8038
% 3.32/1.10  % (15167)Time elapsed: 0.062 s
% 3.32/1.10  % (15167)Instructions burned: 202 (million)
% 3.32/1.11  % (15043)Running in auto input_syntax mode. Trying TPTP
% 3.32/1.11  % (15169)lrs+1002_1:8_sil=4000:sos=on:nicw=on:st=2.5:i=1027:ss=included:sd=7:ep=RS:erd=off_0 on theBenchmark for (2995ds/1027Mi)
% 3.63/1.13  % (15043)Running in auto input_syntax mode. Trying TPTP
% 3.63/1.13  % (15170)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)
% 3.63/1.15  % (15168)Instruction limit reached!
% 3.63/1.15  % (15168)------------------------------
% 3.63/1.15  % (15168)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.63/1.15  % (15168)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.63/1.15  % (15168)Termination reason: Time limit
% 3.63/1.15  % (15168)Termination phase: Saturation
% 3.63/1.15  
% 3.63/1.15  % (15168)Memory used [KB]: 7410
% 3.63/1.15  % (15168)Time elapsed: 0.073 s
% 3.63/1.15  % (15168)Instructions burned: 205 (million)
% 3.82/1.19  % (15043)Running in auto input_syntax mode. Trying TPTP
% 3.82/1.19  % (15171)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)
% 3.82/1.22  % (15170)Instruction limit reached!
% 3.82/1.22  % (15170)------------------------------
% 3.82/1.22  % (15170)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.82/1.22  % (15170)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.82/1.22  % (15170)Termination reason: Time limit
% 3.82/1.22  % (15170)Termination phase: Saturation
% 3.82/1.22  
% 3.82/1.22  % (15170)Memory used [KB]: 10320
% 3.82/1.22  % (15170)Time elapsed: 0.092 s
% 3.82/1.22  % (15170)Instructions burned: 317 (million)
% 4.22/1.26  % (15043)Running in auto input_syntax mode. Trying TPTP
% 4.22/1.26  % (15172)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)
% 4.37/1.31  % (15171)Instruction limit reached!
% 4.37/1.31  % (15171)------------------------------
% 4.37/1.31  % (15171)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.37/1.31  % (15171)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.37/1.31  % (15171)Termination reason: Time limit
% 4.37/1.31  % (15171)Termination phase: Function definition elimination
% 4.37/1.31  
% 4.37/1.31  % (15171)Memory used [KB]: 14667
% 4.37/1.31  % (15171)Time elapsed: 0.118 s
% 4.37/1.31  % (15171)Instructions burned: 428 (million)
% 4.79/1.34  % (15172)Instruction limit reached!
% 4.79/1.34  % (15172)------------------------------
% 4.79/1.34  % (15172)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.79/1.34  % (15172)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.79/1.34  % (15172)Termination reason: Time limit
% 4.79/1.34  % (15172)Termination phase: Property scanning
% 4.79/1.34  
% 4.79/1.34  % (15172)Memory used [KB]: 9703
% 4.79/1.34  % (15172)Time elapsed: 0.083 s
% 4.79/1.34  % (15172)Instructions burned: 263 (million)
% 4.79/1.34  % (15043)Running in auto input_syntax mode. Trying TPTP
% 4.79/1.34  % (15173)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 (2993ds/160Mi)
% 5.04/1.37  % (15043)Running in auto input_syntax mode. Trying TPTP
% 5.04/1.37  % (15175)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)
% 5.04/1.39  % (15169)Instruction limit reached!
% 5.04/1.39  % (15169)------------------------------
% 5.04/1.39  % (15169)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.04/1.39  % (15169)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.04/1.39  % (15169)Termination reason: Time limit
% 5.04/1.39  % (15169)Termination phase: Saturation
% 5.04/1.39  
% 5.04/1.39  % (15169)Memory used [KB]: 22275
% 5.04/1.39  % (15169)Time elapsed: 0.298 s
% 5.04/1.39  % (15169)Instructions burned: 1028 (million)
% 5.04/1.39  % (15173)Instruction limit reached!
% 5.04/1.39  % (15173)------------------------------
% 5.04/1.39  % (15173)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.04/1.39  % (15173)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.04/1.39  % (15173)Termination reason: Time limit
% 5.04/1.39  % (15173)Termination phase: Property scanning
% 5.04/1.39  
% 5.04/1.39  % (15173)Memory used [KB]: 8278
% 5.04/1.39  % (15173)Time elapsed: 0.051 s
% 5.04/1.39  % (15173)Instructions burned: 160 (million)
% 5.04/1.42  % (15043)Running in auto input_syntax mode. Trying TPTP
% 5.04/1.42  % (15176)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 (2992ds/2185Mi)
% 5.04/1.42  % (15043)Running in auto input_syntax mode. Trying TPTP
% 5.04/1.42  % (15177)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)
% 5.81/1.51  % (15175)Instruction limit reached!
% 5.81/1.51  % (15175)------------------------------
% 5.81/1.51  % (15175)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.81/1.51  % (15175)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.81/1.51  % (15175)Termination reason: Time limit
% 5.81/1.51  % (15175)Termination phase: Saturation
% 5.81/1.51  
% 5.81/1.51  % (15175)Memory used [KB]: 10212
% 5.81/1.51  % (15175)Time elapsed: 0.137 s
% 5.81/1.51  % (15175)Instructions burned: 462 (million)
% 5.81/1.51  % (15177)Instruction limit reached!
% 5.81/1.51  % (15177)------------------------------
% 5.81/1.51  % (15177)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.81/1.51  % (15177)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.81/1.51  % (15177)Termination reason: Time limit
% 5.81/1.51  % (15177)Termination phase: Property scanning
% 5.81/1.51  
% 5.81/1.51  % (15177)Memory used [KB]: 14304
% 5.81/1.51  % (15177)Time elapsed: 0.088 s
% 5.81/1.51  % (15177)Instructions burned: 312 (million)
% 6.39/1.54  % (15043)Running in auto input_syntax mode. Trying TPTP
% 6.39/1.54  % (15179)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 (2991ds/349Mi)
% 6.39/1.54  % (15043)Running in auto input_syntax mode. Trying TPTP
% 6.39/1.54  % (15178)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)
% 6.54/1.64  % (15179)Instruction limit reached!
% 6.54/1.64  % (15179)------------------------------
% 6.54/1.64  % (15179)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.54/1.64  % (15179)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.54/1.64  % (15179)Termination reason: Time limit
% 6.54/1.64  % (15179)Termination phase: Saturation
% 6.54/1.64  
% 6.54/1.64  % (15179)Memory used [KB]: 6977
% 6.54/1.64  % (15179)Time elapsed: 0.098 s
% 6.54/1.64  % (15179)Instructions burned: 349 (million)
% 6.54/1.64  % (15178)Instruction limit reached!
% 6.54/1.64  % (15178)------------------------------
% 6.54/1.64  % (15178)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.54/1.64  % (15178)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.54/1.64  % (15178)Termination reason: Time limit
% 6.54/1.64  % (15178)Termination phase: Property scanning
% 6.54/1.64  
% 6.54/1.64  % (15178)Memory used [KB]: 13628
% 6.54/1.64  % (15178)Time elapsed: 0.099 s
% 6.54/1.64  % (15178)Instructions burned: 339 (million)
% 7.38/1.67  % (15043)Running in auto input_syntax mode. Trying TPTP
% 7.38/1.67  % (15180)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)
% 7.38/1.67  % (15043)Running in auto input_syntax mode. Trying TPTP
% 7.38/1.67  % (15181)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 (2990ds/632Mi)
% 7.55/1.73  % (15180)Instruction limit reached!
% 7.55/1.73  % (15180)------------------------------
% 7.55/1.73  % (15180)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.55/1.73  % (15180)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.55/1.73  % (15180)Termination reason: Time limit
% 7.55/1.73  % (15180)Termination phase: Property scanning
% 7.55/1.73  
% 7.55/1.73  % (15180)Memory used [KB]: 9801
% 7.55/1.73  % (15180)Time elapsed: 0.058 s
% 7.55/1.73  % (15180)Instructions burned: 194 (million)
% 8.03/1.76  % (15043)Running in auto input_syntax mode. Trying TPTP
% 8.03/1.76  % (15182)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 (2989ds/440Mi)
% 8.03/1.80  % (15176)First to succeed.
% 8.03/1.80  % (15176)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15043"
% 8.03/1.80  % (15043)Running in auto input_syntax mode. Trying TPTP
% 8.03/1.80  % (15176)Refutation found. Thanks to Tanya!
% 8.03/1.80  % SZS status ContradictoryAxioms for theBenchmark
% 8.03/1.80  % SZS output start Proof for theBenchmark
% See solution above
% 8.03/1.80  % (15176)------------------------------
% 8.03/1.80  % (15176)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.03/1.80  % (15176)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.03/1.80  % (15176)Termination reason: Refutation
% 8.03/1.80  
% 8.03/1.80  % (15176)Memory used [KB]: 20636
% 8.03/1.80  % (15176)Time elapsed: 0.381 s
% 8.03/1.80  % (15176)Instructions burned: 1381 (million)
% 8.03/1.80  % (15176)------------------------------
% 8.03/1.80  % (15176)------------------------------
% 8.03/1.80  % (15043)Success in time 1.147 s
%------------------------------------------------------------------------------