TSTP Solution File: SWW320+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW320+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 18:32:02 EDT 2024

% Result   : ContradictoryAxioms 11.53s 2.46s
% Output   : Refutation 11.53s
% 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(f31909,plain,
    $false,
    inference(resolution,[],[f31605,f16814]) ).

fof(f16814,plain,
    class_Finite__Set_Ofinite(tc_HOL_Obool),
    inference(cnf_transformation,[],[f5135]) ).

fof(f5135,axiom,
    class_Finite__Set_Ofinite(tc_HOL_Obool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f31605,plain,
    ! [X0] : ~ class_Finite__Set_Ofinite(X0),
    inference(resolution,[],[f18350,f30435]) ).

fof(f30435,plain,
    ! [X0] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
    inference(resolution,[],[f30224,f21847]) ).

fof(f21847,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,[],[f13160]) ).

fof(f13160,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,[],[f8873]) ).

fof(f8873,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,[],[f8]) ).

fof(f8,axiom,
    ! [X15,X16,X17,X4] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X17))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X16),hAPP(c_Set_Oimage(X4,X16,X15),X17))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f30224,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,[],[f29767,f21189]) ).

fof(f21189,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,[],[f8290]) ).

fof(f8290,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,[],[f714]) ).

fof(f714,axiom,
    ! [X16,X19,X1,X4] : hBOOL(hAPP(hAPP(c_member(X4),hAPP(X1,X19)),hAPP(c_Set_Oimage(X16,X4,X1),c_Orderings_Otop__class_Otop(tc_fun(X16,tc_HOL_Obool))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f29767,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Nat_OSuc,sK20(X0))),X0))
      | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X0)) ),
    inference(resolution,[],[f17039,f17371]) ).

fof(f17371,plain,
    ! [X0,X4] :
      ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),sK20(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),sK19(X0,X1)),X1))
            & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK19(X0,X1)),X0)) ) )
      & ( ! [X4] :
            ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X4),sK20(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,[sK19,sK20])],[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),sK19(X0,X1)),X1))
        & hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),sK19(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),sK20(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,[],[f10446]) ).

fof(f10446,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,[],[f5621]) ).

fof(f5621,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,[],[f779]) ).

fof(f779,axiom,
    ! [X40] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X40))
    <=> ? [X98] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X40))
         => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X98)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f17039,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(cnf_transformation,[],[f5320]) ).

fof(f5320,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(rectify,[],[f1218]) ).

fof(f1218,axiom,
    ! [X91] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X91)),X91)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f18350,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(cnf_transformation,[],[f10824]) ).

fof(f10824,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(ennf_transformation,[],[f6423]) ).

fof(f6423,plain,
    ! [X0,X1] :
      ( class_Finite__Set_Ofinite(X1)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X18,X4] :
      ( class_Finite__Set_Ofinite(X4)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X18)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWW320+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13  % Command    : run_vampire %s %d THM
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Wed Jun 19 08:59:54 EDT 2024
% 0.13/0.35  % 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
% 0.67/0.89  % (14535)Running in auto input_syntax mode. Trying TPTP
% 0.67/0.89  % (14541)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.67/0.89  % (14535)Running in auto input_syntax mode. Trying TPTP
% 0.67/0.89  % (14537)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)
% 0.67/0.89  % (14535)Running in auto input_syntax mode. Trying TPTP
% 0.67/0.89  % (14538)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)
% 0.67/0.89  % (14535)Running in auto input_syntax mode. Trying TPTP
% 0.67/0.89  % (14539)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.67/0.89  % (14535)Running in auto input_syntax mode. Trying TPTP
% 0.67/0.89  % (14540)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.67/0.89  % (14535)Running in auto input_syntax mode. Trying TPTP
% 0.67/0.89  % (14536)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.67/0.89  % (14535)Running in auto input_syntax mode. Trying TPTP
% 0.67/0.89  % (14542)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)
% 0.67/1.02  % (14540)Instruction limit reached!
% 0.67/1.02  % (14540)------------------------------
% 0.67/1.02  % (14540)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.67/1.02  % (14540)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.67/1.02  % (14540)Termination reason: Time limit
% 0.67/1.02  % (14540)Termination phase: Saturation
% 0.67/1.02  
% 0.67/1.02  % (14540)Memory used [KB]: 7682
% 0.67/1.02  % (14540)Time elapsed: 0.129 s
% 0.67/1.02  % (14540)Instructions burned: 251 (million)
% 0.86/1.02  % (14542)Instruction limit reached!
% 0.86/1.02  % (14542)------------------------------
% 0.86/1.02  % (14542)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.86/1.02  % (14542)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.86/1.02  % (14542)Termination reason: Time limit
% 0.86/1.02  % (14542)Termination phase: Saturation
% 0.86/1.02  
% 0.86/1.02  % (14542)Memory used [KB]: 9078
% 0.86/1.02  % (14542)Time elapsed: 0.134 s
% 0.86/1.02  % (14542)Instructions burned: 283 (million)
% 0.86/1.05  % (14541)Instruction limit reached!
% 0.86/1.05  % (14541)------------------------------
% 0.86/1.05  % (14541)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.86/1.05  % (14541)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.86/1.05  % (14541)Termination reason: Time limit
% 0.86/1.05  % (14541)Termination phase: Saturation
% 0.86/1.05  
% 0.86/1.05  % (14541)Memory used [KB]: 7530
% 0.86/1.05  % (14541)Time elapsed: 0.166 s
% 0.86/1.05  % (14541)Instructions burned: 346 (million)
% 0.86/1.07  % (14535)Running in auto input_syntax mode. Trying TPTP
% 0.86/1.07  % (14543)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)
% 0.86/1.08  % (14535)Running in auto input_syntax mode. Trying TPTP
% 0.86/1.08  % (14544)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2997ds/402Mi)
% 1.26/1.11  % (14535)Running in auto input_syntax mode. Trying TPTP
% 1.26/1.11  % (14545)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)
% 1.26/1.14  % (14543)Instruction limit reached!
% 1.26/1.14  % (14543)------------------------------
% 1.26/1.14  % (14543)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.26/1.14  % (14543)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.26/1.14  % (14543)Termination reason: Time limit
% 1.26/1.14  % (14543)Termination phase: Preprocessing 3
% 1.26/1.14  
% 1.26/1.14  % (14543)Memory used [KB]: 8430
% 1.26/1.14  % (14543)Time elapsed: 0.066 s
% 1.26/1.14  % (14543)Instructions burned: 125 (million)
% 3.10/1.20  % (14535)Running in auto input_syntax mode. Trying TPTP
% 3.10/1.20  % (14546)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)
% 3.40/1.26  % (14545)Instruction limit reached!
% 3.40/1.26  % (14545)------------------------------
% 3.40/1.26  % (14545)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.40/1.26  % (14545)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.40/1.26  % (14545)Termination reason: Time limit
% 3.40/1.26  % (14545)Termination phase: Saturation
% 3.40/1.26  
% 3.40/1.26  % (14545)Memory used [KB]: 7504
% 3.40/1.26  % (14545)Time elapsed: 0.148 s
% 3.40/1.26  % (14545)Instructions burned: 325 (million)
% 3.40/1.26  % (14544)Instruction limit reached!
% 3.40/1.26  % (14544)------------------------------
% 3.40/1.26  % (14544)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.40/1.26  % (14544)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.40/1.26  % (14544)Termination reason: Time limit
% 3.40/1.26  % (14544)Termination phase: Function definition elimination
% 3.40/1.26  
% 3.40/1.26  % (14544)Memory used [KB]: 14858
% 3.40/1.26  % (14544)Time elapsed: 0.185 s
% 3.40/1.26  % (14544)Instructions burned: 402 (million)
% 3.82/1.32  % (14535)Running in auto input_syntax mode. Trying TPTP
% 3.82/1.32  % (14548)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)
% 3.82/1.32  % (14535)Running in auto input_syntax mode. Trying TPTP
% 3.82/1.32  % (14547)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)
% 3.82/1.33  % (14546)Instruction limit reached!
% 3.82/1.33  % (14546)------------------------------
% 3.82/1.33  % (14546)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.82/1.33  % (14546)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.82/1.33  % (14546)Termination reason: Time limit
% 3.82/1.33  % (14546)Termination phase: Saturation
% 3.82/1.33  
% 3.82/1.33  % (14546)Memory used [KB]: 7946
% 3.82/1.33  % (14546)Time elapsed: 0.132 s
% 3.82/1.33  % (14546)Instructions burned: 268 (million)
% 4.12/1.39  % (14535)Running in auto input_syntax mode. Trying TPTP
% 4.12/1.39  % (14549)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)
% 4.12/1.40  % (14547)Instruction limit reached!
% 4.12/1.40  % (14547)------------------------------
% 4.12/1.40  % (14547)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.12/1.40  % (14547)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.12/1.40  % (14547)Termination reason: Time limit
% 4.12/1.40  % (14547)Termination phase: Saturation
% 4.12/1.40  
% 4.12/1.40  % (14547)Memory used [KB]: 7415
% 4.12/1.40  % (14547)Time elapsed: 0.105 s
% 4.12/1.40  % (14547)Instructions burned: 158 (million)
% 4.12/1.42  % (14548)Instruction limit reached!
% 4.12/1.42  % (14548)------------------------------
% 4.12/1.42  % (14548)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.12/1.42  % (14548)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.12/1.42  % (14548)Termination reason: Time limit
% 4.12/1.42  % (14548)Termination phase: Saturation
% 4.12/1.42  
% 4.12/1.42  % (14548)Memory used [KB]: 8207
% 4.12/1.42  % (14548)Time elapsed: 0.099 s
% 4.12/1.42  % (14548)Instructions burned: 201 (million)
% 4.12/1.46  % (14535)Running in auto input_syntax mode. Trying TPTP
% 4.12/1.46  % (14550)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)
% 4.80/1.47  % (14535)Running in auto input_syntax mode. Trying TPTP
% 4.80/1.47  % (14551)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)
% 4.91/1.50  % (14549)Instruction limit reached!
% 4.91/1.50  % (14549)------------------------------
% 4.91/1.50  % (14549)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.91/1.50  % (14549)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.91/1.50  % (14549)Termination reason: Time limit
% 4.91/1.50  % (14549)Termination phase: Saturation
% 4.91/1.50  
% 4.91/1.50  % (14549)Memory used [KB]: 7391
% 4.91/1.50  % (14549)Time elapsed: 0.113 s
% 4.91/1.50  % (14549)Instructions burned: 204 (million)
% 5.25/1.56  % (14535)Running in auto input_syntax mode. Trying TPTP
% 5.25/1.56  % (14552)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)
% 5.53/1.63  % (14551)Instruction limit reached!
% 5.53/1.63  % (14551)------------------------------
% 5.53/1.63  % (14551)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.53/1.63  % (14551)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.53/1.63  % (14551)Termination reason: Time limit
% 5.53/1.63  % (14551)Termination phase: Saturation
% 5.53/1.63  
% 5.53/1.63  % (14551)Memory used [KB]: 10210
% 5.53/1.63  % (14551)Time elapsed: 0.158 s
% 5.53/1.63  % (14551)Instructions burned: 316 (million)
% 6.52/1.69  % (14535)Running in auto input_syntax mode. Trying TPTP
% 6.52/1.69  % (14553)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)
% 6.52/1.76  % (14552)Instruction limit reached!
% 6.52/1.76  % (14552)------------------------------
% 6.52/1.76  % (14552)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.52/1.76  % (14552)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.52/1.76  % (14552)Termination reason: Time limit
% 6.52/1.76  % (14552)Termination phase: Function definition elimination
% 6.52/1.76  
% 6.52/1.76  % (14552)Memory used [KB]: 14760
% 6.52/1.76  % (14552)Time elapsed: 0.201 s
% 6.52/1.76  % (14552)Instructions burned: 427 (million)
% 7.37/1.82  % (14553)Instruction limit reached!
% 7.37/1.82  % (14553)------------------------------
% 7.37/1.82  % (14553)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.37/1.82  % (14553)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.37/1.82  % (14553)Termination reason: Time limit
% 7.37/1.82  % (14553)Termination phase: Saturation
% 7.37/1.82  
% 7.37/1.82  % (14553)Memory used [KB]: 8045
% 7.37/1.82  % (14553)Time elapsed: 0.128 s
% 7.37/1.82  % (14553)Instructions burned: 261 (million)
% 7.37/1.82  % (14535)Running in auto input_syntax mode. Trying TPTP
% 7.37/1.82  % (14554)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)
% 7.50/1.88  % (14535)Running in auto input_syntax mode. Trying TPTP
% 7.50/1.88  % (14555)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)
% 7.50/1.90  % (14554)Instruction limit reached!
% 7.50/1.90  % (14554)------------------------------
% 7.50/1.90  % (14554)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.50/1.90  % (14554)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.50/1.90  % (14554)Termination reason: Time limit
% 7.50/1.90  % (14554)Termination phase: Saturation
% 7.50/1.90  
% 7.50/1.90  % (14554)Memory used [KB]: 7591
% 7.50/1.90  % (14554)Time elapsed: 0.081 s
% 7.50/1.90  % (14554)Instructions burned: 161 (million)
% 8.09/1.92  % (14550)Instruction limit reached!
% 8.09/1.92  % (14550)------------------------------
% 8.09/1.92  % (14550)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.09/1.92  % (14550)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.09/1.92  % (14550)Termination reason: Time limit
% 8.09/1.92  % (14550)Termination phase: Saturation
% 8.09/1.92  
% 8.09/1.92  % (14550)Memory used [KB]: 22388
% 8.09/1.92  % (14550)Time elapsed: 0.469 s
% 8.09/1.92  % (14550)Instructions burned: 1027 (million)
% 8.09/1.96  % (14535)Running in auto input_syntax mode. Trying TPTP
% 8.09/1.96  % (14556)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)
% 8.09/1.98  % (14535)Running in auto input_syntax mode. Trying TPTP
% 8.09/1.98  % (14557)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)
% 8.88/2.12  % (14555)Instruction limit reached!
% 8.88/2.12  % (14555)------------------------------
% 8.88/2.12  % (14555)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.88/2.12  % (14555)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.88/2.12  % (14555)Termination reason: Time limit
% 8.88/2.12  % (14555)Termination phase: Saturation
% 8.88/2.12  
% 8.88/2.12  % (14555)Memory used [KB]: 11284
% 8.88/2.12  % (14555)Time elapsed: 0.241 s
% 8.88/2.12  % (14555)Instructions burned: 462 (million)
% 9.25/2.13  % (14557)Instruction limit reached!
% 9.25/2.13  % (14557)------------------------------
% 9.25/2.13  % (14557)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.25/2.13  % (14557)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.25/2.13  % (14557)Termination reason: Time limit
% 9.25/2.13  % (14557)Termination phase: Property scanning
% 9.25/2.13  
% 9.25/2.13  % (14557)Memory used [KB]: 14319
% 9.25/2.13  % (14557)Time elapsed: 0.149 s
% 9.25/2.13  % (14557)Instructions burned: 310 (million)
% 9.25/2.18  % (14535)Running in auto input_syntax mode. Trying TPTP
% 9.25/2.18  % (14558)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 (2987ds/336Mi)
% 9.25/2.19  % (14535)Running in auto input_syntax mode. Trying TPTP
% 9.25/2.19  % (14559)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)
% 10.86/2.34  % (14558)Instruction limit reached!
% 10.86/2.34  % (14558)------------------------------
% 10.86/2.34  % (14558)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.86/2.34  % (14558)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.86/2.34  % (14558)Termination reason: Time limit
% 10.86/2.34  % (14558)Termination phase: Property scanning
% 10.86/2.34  
% 10.86/2.34  % (14558)Memory used [KB]: 13714
% 10.86/2.34  % (14558)Time elapsed: 0.166 s
% 10.86/2.34  % (14558)Instructions burned: 336 (million)
% 10.86/2.35  % (14559)Instruction limit reached!
% 10.86/2.35  % (14559)------------------------------
% 10.86/2.35  % (14559)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.86/2.35  % (14559)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.86/2.35  % (14559)Termination reason: Time limit
% 10.86/2.35  % (14559)Termination phase: Saturation
% 10.86/2.35  
% 10.86/2.35  % (14559)Memory used [KB]: 6639
% 10.86/2.35  % (14559)Time elapsed: 0.185 s
% 10.86/2.35  % (14559)Instructions burned: 350 (million)
% 11.47/2.40  % (14535)Running in auto input_syntax mode. Trying TPTP
% 11.47/2.40  % (14560)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)
% 11.53/2.41  % (14535)Running in auto input_syntax mode. Trying TPTP
% 11.53/2.41  % (14561)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 (2984ds/632Mi)
% 11.53/2.46  % (14556)First to succeed.
% 11.53/2.46  % (14556)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14535"
% 11.53/2.46  % (14535)Running in auto input_syntax mode. Trying TPTP
% 11.53/2.46  % (14556)Refutation found. Thanks to Tanya!
% 11.53/2.46  % SZS status ContradictoryAxioms for theBenchmark
% 11.53/2.46  % SZS output start Proof for theBenchmark
% See solution above
% 11.53/2.46  % (14556)------------------------------
% 11.53/2.46  % (14556)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.53/2.46  % (14556)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.53/2.46  % (14556)Termination reason: Refutation
% 11.53/2.46  
% 11.53/2.46  % (14556)Memory used [KB]: 17591
% 11.53/2.46  % (14556)Time elapsed: 0.498 s
% 11.53/2.46  % (14556)Instructions burned: 1077 (million)
% 11.53/2.46  % (14556)------------------------------
% 11.53/2.46  % (14556)------------------------------
% 11.53/2.46  % (14535)Success in time 1.659 s
%------------------------------------------------------------------------------