TSTP Solution File: SWW371+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW371+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n003.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 18:32:14 EDT 2024

% Result   : ContradictoryAxioms 16.98s 3.26s
% Output   : Refutation 16.98s
% 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(f36036,plain,
    $false,
    inference(resolution,[],[f35903,f16612]) ).

fof(f16612,plain,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    inference(cnf_transformation,[],[f5173]) ).

fof(f5173,axiom,
    class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f35903,plain,
    ! [X0] : ~ class_Finite__Set_Ofinite(X0),
    inference(resolution,[],[f35085,f18192]) ).

fof(f18192,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(cnf_transformation,[],[f10854]) ).

fof(f10854,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0))
      | ~ class_Finite__Set_Ofinite(X1) ),
    inference(ennf_transformation,[],[f6460]) ).

fof(f6460,plain,
    ! [X0,X1] :
      ( class_Finite__Set_Ofinite(X1)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X0)) ),
    inference(rectify,[],[f155]) ).

fof(f155,axiom,
    ! [X9,X4] :
      ( class_Finite__Set_Ofinite(X4)
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X9)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f35085,plain,
    ! [X0] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
    inference(resolution,[],[f31742,f21569]) ).

fof(f21569,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,[],[f13088]) ).

fof(f13088,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,[],[f8860]) ).

fof(f8860,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,[],[f307]) ).

fof(f307,axiom,
    ! [X96,X14,X72,X4] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(X4),X72))
     => hBOOL(hAPP(c_Finite__Set_Ofinite(X14),hAPP(c_Set_Oimage(X4,X14,X96),X72))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f31742,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,[],[f31722,f20956]) ).

fof(f20956,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,[],[f8304]) ).

fof(f8304,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,[],[f2173]) ).

fof(f2173,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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f31722,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,[],[f17204,f16864]) ).

fof(f16864,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(cnf_transformation,[],[f5343]) ).

fof(f5343,plain,
    ! [X0] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X0)),X0)),
    inference(rectify,[],[f437]) ).

fof(f437,axiom,
    ! [X98] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,X98)),X98)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f17204,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,[],[f14380]) ).

fof(f14380,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])],[f14377,f14379,f14378]) ).

fof(f14378,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(f14379,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(f14377,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,[],[f14376]) ).

fof(f14376,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,[],[f10478]) ).

fof(f10478,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,[],[f5652]) ).

fof(f5652,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,[],[f863]) ).

fof(f863,axiom,
    ! [X108] :
      ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),X108))
    <=> ? [X128] :
        ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),X2),X108))
         => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),X2),X128)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWW371+1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.12  % Command    : run_vampire %s %d THM
% 0.11/0.33  % Computer : n003.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 06:10:38 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
% 0.77/0.99  % (15124)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.99  % (15127)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)
% 0.77/0.99  % (15124)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.99  % (15130)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.77/0.99  % (15124)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.99  % (15129)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.77/0.99  % (15124)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.99  % (15132)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)
% 0.77/0.99  % (15124)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.99  % (15128)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.77/0.99  % (15124)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.99  % (15125)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.77/0.99  % (15124)Running in auto input_syntax mode. Trying TPTP
% 0.77/0.99  % (15126)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)
% 2.17/1.15  % (15129)Instruction limit reached!
% 2.17/1.15  % (15129)------------------------------
% 2.17/1.15  % (15129)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.17/1.15  % (15129)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.17/1.15  % (15129)Termination reason: Time limit
% 2.17/1.15  % (15129)Termination phase: Saturation
% 2.17/1.15  
% 2.17/1.15  % (15129)Memory used [KB]: 7304
% 2.17/1.15  % (15129)Time elapsed: 0.156 s
% 2.17/1.15  % (15129)Instructions burned: 251 (million)
% 2.17/1.16  % (15132)Instruction limit reached!
% 2.17/1.16  % (15132)------------------------------
% 2.17/1.16  % (15132)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.17/1.16  % (15132)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.17/1.16  % (15132)Termination reason: Time limit
% 2.17/1.16  % (15132)Termination phase: Saturation
% 2.17/1.16  
% 2.17/1.16  % (15132)Memory used [KB]: 9537
% 2.17/1.16  % (15132)Time elapsed: 0.173 s
% 2.17/1.16  % (15132)Instructions burned: 282 (million)
% 2.43/1.20  % (15130)Instruction limit reached!
% 2.43/1.20  % (15130)------------------------------
% 2.43/1.20  % (15130)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.43/1.20  % (15130)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.43/1.20  % (15130)Termination reason: Time limit
% 2.43/1.20  % (15130)Termination phase: Saturation
% 2.43/1.20  
% 2.43/1.20  % (15130)Memory used [KB]: 7378
% 2.43/1.20  % (15130)Time elapsed: 0.212 s
% 2.43/1.20  % (15130)Instructions burned: 346 (million)
% 2.43/1.22  % (15124)Running in auto input_syntax mode. Trying TPTP
% 2.43/1.22  % (15133)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)
% 2.43/1.23  % (15124)Running in auto input_syntax mode. Trying TPTP
% 2.43/1.23  % (15134)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2997ds/402Mi)
% 2.82/1.27  % (15124)Running in auto input_syntax mode. Trying TPTP
% 2.82/1.27  % (15135)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 (2996ds/325Mi)
% 2.82/1.30  % (15133)Instruction limit reached!
% 2.82/1.30  % (15133)------------------------------
% 2.82/1.30  % (15133)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.82/1.30  % (15133)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.82/1.30  % (15133)Termination reason: Time limit
% 2.82/1.30  % (15133)Termination phase: Preprocessing 3
% 2.82/1.30  
% 2.82/1.30  % (15133)Memory used [KB]: 8439
% 2.82/1.30  % (15133)Time elapsed: 0.086 s
% 2.82/1.30  % (15133)Instructions burned: 125 (million)
% 3.38/1.37  % (15124)Running in auto input_syntax mode. Trying TPTP
% 3.38/1.37  % (15136)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 (2995ds/267Mi)
% 3.66/1.47  % (15135)Instruction limit reached!
% 3.66/1.47  % (15135)------------------------------
% 3.66/1.47  % (15135)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.66/1.47  % (15135)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.66/1.47  % (15135)Termination reason: Time limit
% 3.66/1.47  % (15135)Termination phase: Saturation
% 3.66/1.47  
% 3.66/1.47  % (15135)Memory used [KB]: 7407
% 3.66/1.47  % (15135)Time elapsed: 0.194 s
% 3.66/1.47  % (15135)Instructions burned: 326 (million)
% 4.08/1.48  % (15134)Instruction limit reached!
% 4.08/1.48  % (15134)------------------------------
% 4.08/1.48  % (15134)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.08/1.48  % (15134)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.08/1.48  % (15134)Termination reason: Time limit
% 4.08/1.48  % (15134)Termination phase: Function definition elimination
% 4.08/1.48  
% 4.08/1.48  % (15134)Memory used [KB]: 14650
% 4.08/1.48  % (15134)Time elapsed: 0.251 s
% 4.08/1.48  % (15134)Instructions burned: 402 (million)
% 4.64/1.54  % (15124)Running in auto input_syntax mode. Trying TPTP
% 4.64/1.54  % (15137)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 (2994ds/156Mi)
% 4.64/1.54  % (15136)Instruction limit reached!
% 4.64/1.54  % (15136)------------------------------
% 4.64/1.54  % (15136)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.64/1.54  % (15136)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.64/1.54  % (15136)Termination reason: Time limit
% 4.64/1.54  % (15136)Termination phase: Saturation
% 4.64/1.54  
% 4.64/1.54  % (15136)Memory used [KB]: 7822
% 4.64/1.54  % (15136)Time elapsed: 0.173 s
% 4.64/1.54  % (15136)Instructions burned: 267 (million)
% 4.64/1.56  % (15124)Running in auto input_syntax mode. Trying TPTP
% 4.64/1.56  % (15138)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 (2993ds/200Mi)
% 4.98/1.61  % (15124)Running in auto input_syntax mode. Trying TPTP
% 4.98/1.61  % (15139)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 (2993ds/203Mi)
% 4.98/1.64  % (15137)Instruction limit reached!
% 4.98/1.64  % (15137)------------------------------
% 4.98/1.64  % (15137)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.98/1.64  % (15137)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.98/1.64  % (15137)Termination reason: Time limit
% 4.98/1.64  % (15137)Termination phase: Saturation
% 4.98/1.64  
% 4.98/1.64  % (15137)Memory used [KB]: 7271
% 4.98/1.64  % (15137)Time elapsed: 0.102 s
% 4.98/1.64  % (15137)Instructions burned: 156 (million)
% 5.92/1.68  % (15138)Instruction limit reached!
% 5.92/1.68  % (15138)------------------------------
% 5.92/1.68  % (15138)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.92/1.68  % (15138)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.92/1.68  % (15138)Termination reason: Time limit
% 5.92/1.68  % (15138)Termination phase: Saturation
% 5.92/1.68  
% 5.92/1.68  % (15138)Memory used [KB]: 8218
% 5.92/1.68  % (15138)Time elapsed: 0.126 s
% 5.92/1.68  % (15138)Instructions burned: 200 (million)
% 5.92/1.68  % (15124)Running in auto input_syntax mode. Trying TPTP
% 5.92/1.68  % (15140)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 (2992ds/1027Mi)
% 5.92/1.75  % (15124)Running in auto input_syntax mode. Trying TPTP
% 5.92/1.75  % (15141)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 (2992ds/316Mi)
% 5.92/1.75  % (15139)Instruction limit reached!
% 5.92/1.75  % (15139)------------------------------
% 5.92/1.75  % (15139)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.92/1.75  % (15139)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.92/1.75  % (15139)Termination reason: Time limit
% 5.92/1.75  % (15139)Termination phase: Saturation
% 5.92/1.75  
% 5.92/1.75  % (15139)Memory used [KB]: 7157
% 5.92/1.75  % (15139)Time elapsed: 0.140 s
% 5.92/1.75  % (15139)Instructions burned: 203 (million)
% 6.58/1.83  % (15124)Running in auto input_syntax mode. Trying TPTP
% 6.58/1.83  % (15142)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 (2991ds/426Mi)
% 6.99/1.95  % (15141)Instruction limit reached!
% 6.99/1.95  % (15141)------------------------------
% 6.99/1.95  % (15141)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.99/1.95  % (15141)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.99/1.95  % (15141)Termination reason: Time limit
% 6.99/1.95  % (15141)Termination phase: Saturation
% 6.99/1.95  
% 6.99/1.95  % (15141)Memory used [KB]: 10402
% 6.99/1.95  % (15141)Time elapsed: 0.203 s
% 6.99/1.95  % (15141)Instructions burned: 316 (million)
% 7.52/2.03  % (15124)Running in auto input_syntax mode. Trying TPTP
% 7.52/2.03  % (15143)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 (2989ds/260Mi)
% 7.89/2.10  % (15142)Instruction limit reached!
% 7.89/2.10  % (15142)------------------------------
% 7.89/2.10  % (15142)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.89/2.10  % (15142)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.89/2.10  % (15142)Termination reason: Time limit
% 7.89/2.10  % (15142)Termination phase: Function definition elimination
% 7.89/2.10  
% 7.89/2.10  % (15142)Memory used [KB]: 14579
% 7.89/2.10  % (15142)Time elapsed: 0.271 s
% 7.89/2.10  % (15142)Instructions burned: 426 (million)
% 9.31/2.17  % (15124)Running in auto input_syntax mode. Trying TPTP
% 9.31/2.17  % (15144)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 (2987ds/160Mi)
% 9.31/2.20  % (15143)Instruction limit reached!
% 9.31/2.20  % (15143)------------------------------
% 9.31/2.20  % (15143)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.31/2.20  % (15143)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.31/2.20  % (15143)Termination reason: Time limit
% 9.31/2.20  % (15143)Termination phase: Property scanning
% 9.31/2.20  
% 9.31/2.20  % (15143)Memory used [KB]: 8846
% 9.31/2.20  % (15143)Time elapsed: 0.175 s
% 9.31/2.20  % (15143)Instructions burned: 260 (million)
% 9.85/2.27  % (15124)Running in auto input_syntax mode. Trying TPTP
% 9.85/2.27  % (15145)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 (2986ds/462Mi)
% 9.85/2.28  % (15144)Instruction limit reached!
% 9.85/2.28  % (15144)------------------------------
% 9.85/2.28  % (15144)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.85/2.28  % (15144)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.85/2.28  % (15144)Termination reason: Time limit
% 9.85/2.28  % (15144)Termination phase: Saturation
% 9.85/2.28  
% 9.85/2.28  % (15144)Memory used [KB]: 7580
% 9.85/2.28  % (15144)Time elapsed: 0.108 s
% 9.85/2.28  % (15144)Instructions burned: 161 (million)
% 10.19/2.31  % (15140)Instruction limit reached!
% 10.19/2.31  % (15140)------------------------------
% 10.19/2.31  % (15140)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.19/2.31  % (15140)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.19/2.31  % (15140)Termination reason: Time limit
% 10.19/2.31  % (15140)Termination phase: Saturation
% 10.19/2.31  
% 10.19/2.31  % (15140)Memory used [KB]: 21285
% 10.19/2.31  % (15140)Time elapsed: 0.627 s
% 10.19/2.31  % (15140)Instructions burned: 1027 (million)
% 10.19/2.35  % (15124)Running in auto input_syntax mode. Trying TPTP
% 10.19/2.35  % (15146)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 (2986ds/2185Mi)
% 10.45/2.38  % (15124)Running in auto input_syntax mode. Trying TPTP
% 10.45/2.38  % (15147)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 (2985ds/308Mi)
% 11.17/2.56  % (15145)Instruction limit reached!
% 11.17/2.56  % (15145)------------------------------
% 11.17/2.56  % (15145)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.17/2.56  % (15145)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.17/2.56  % (15145)Termination reason: Time limit
% 11.17/2.56  % (15145)Termination phase: Saturation
% 11.17/2.56  
% 11.17/2.56  % (15145)Memory used [KB]: 9663
% 11.17/2.56  % (15145)Time elapsed: 0.295 s
% 11.17/2.56  % (15145)Instructions burned: 463 (million)
% 11.17/2.58  % (15147)Instruction limit reached!
% 11.17/2.58  % (15147)------------------------------
% 11.17/2.58  % (15147)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.17/2.58  % (15147)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.17/2.58  % (15147)Termination reason: Time limit
% 11.17/2.58  % (15147)Termination phase: Property scanning
% 11.17/2.58  
% 11.17/2.58  % (15147)Memory used [KB]: 14214
% 11.17/2.58  % (15147)Time elapsed: 0.200 s
% 11.17/2.58  % (15147)Instructions burned: 309 (million)
% 12.06/2.63  % (15124)Running in auto input_syntax mode. Trying TPTP
% 12.06/2.63  % (15148)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 (2983ds/336Mi)
% 12.06/2.65  % (15124)Running in auto input_syntax mode. Trying TPTP
% 12.06/2.65  % (15149)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 (2983ds/349Mi)
% 12.30/2.69  % (15149)Refutation not found, incomplete strategy% (15149)------------------------------
% 12.30/2.69  % (15149)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.30/2.69  % (15149)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.30/2.69  % (15149)Termination reason: Refutation not found, incomplete strategy
% 12.30/2.69  
% 12.30/2.69  % (15149)Memory used [KB]: 6128
% 12.30/2.69  % (15149)Time elapsed: 0.041 s
% 12.30/2.69  % (15149)Instructions burned: 55 (million)
% 12.30/2.69  % (15149)------------------------------
% 12.30/2.69  % (15149)------------------------------
% 13.53/2.76  % (15124)Running in auto input_syntax mode. Trying TPTP
% 13.53/2.76  % (15150)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 (2981ds/193Mi)
% 14.23/2.86  % (15148)Instruction limit reached!
% 14.23/2.86  % (15148)------------------------------
% 14.23/2.86  % (15148)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.23/2.86  % (15148)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.23/2.86  % (15148)Termination reason: Time limit
% 14.23/2.86  % (15148)Termination phase: Property scanning
% 14.23/2.86  
% 14.23/2.86  % (15148)Memory used [KB]: 13511
% 14.23/2.86  % (15148)Time elapsed: 0.225 s
% 14.23/2.86  % (15148)Instructions burned: 336 (million)
% 14.23/2.89  % (15150)Instruction limit reached!
% 14.23/2.89  % (15150)------------------------------
% 14.23/2.89  % (15150)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.23/2.89  % (15150)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.23/2.89  % (15150)Termination reason: Time limit
% 14.23/2.89  % (15150)Termination phase: Property scanning
% 14.23/2.89  
% 14.23/2.89  % (15150)Memory used [KB]: 9431
% 14.23/2.89  % (15150)Time elapsed: 0.128 s
% 14.23/2.89  % (15150)Instructions burned: 194 (million)
% 14.49/2.93  % (15124)Running in auto input_syntax mode. Trying TPTP
% 14.49/2.93  % (15151)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 (2980ds/632Mi)
% 14.69/2.96  % (15124)Running in auto input_syntax mode. Trying TPTP
% 14.69/2.96  % (15152)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 (2980ds/440Mi)
% 15.78/3.21  % (15151)Instruction limit reached!
% 15.78/3.21  % (15151)------------------------------
% 15.78/3.21  % (15151)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.78/3.21  % (15151)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.78/3.21  % (15151)Termination reason: Time limit
% 15.78/3.21  % (15151)Termination phase: Saturation
% 15.78/3.21  
% 15.78/3.21  % (15151)Memory used [KB]: 6751
% 15.78/3.21  % (15151)Time elapsed: 0.273 s
% 15.78/3.21  % (15151)Instructions burned: 633 (million)
% 15.78/3.25  % (15152)Instruction limit reached!
% 15.78/3.25  % (15152)------------------------------
% 15.78/3.25  % (15152)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.78/3.25  % (15152)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.78/3.25  % (15152)Termination reason: Time limit
% 15.78/3.25  % (15152)Termination phase: Saturation
% 15.78/3.25  
% 15.78/3.25  % (15152)Memory used [KB]: 10311
% 15.78/3.25  % (15152)Time elapsed: 0.288 s
% 15.78/3.25  % (15152)Instructions burned: 440 (million)
% 15.78/3.25  % (15146)First to succeed.
% 15.78/3.25  % (15146)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15124"
% 16.98/3.26  % (15124)Running in auto input_syntax mode. Trying TPTP
% 16.98/3.26  % (15146)Refutation found. Thanks to Tanya!
% 16.98/3.26  % SZS status ContradictoryAxioms for theBenchmark
% 16.98/3.26  % SZS output start Proof for theBenchmark
% See solution above
% 16.98/3.26  % (15146)------------------------------
% 16.98/3.26  % (15146)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.98/3.26  % (15146)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.98/3.26  % (15146)Termination reason: Refutation
% 16.98/3.26  
% 16.98/3.26  % (15146)Memory used [KB]: 20621
% 16.98/3.26  % (15146)Time elapsed: 0.906 s
% 16.98/3.26  % (15146)Instructions burned: 1439 (million)
% 16.98/3.26  % (15146)------------------------------
% 16.98/3.26  % (15146)------------------------------
% 16.98/3.26  % (15124)Success in time 2.36 s
%------------------------------------------------------------------------------