TSTP Solution File: NUN055+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUN055+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n024.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 : Wed Aug 31 18:07:33 EDT 2022

% Result   : Theorem 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   61 (  26 unt;   0 def)
%            Number of atoms       :  212 (  59 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  224 (  73   ~;  50   |;  92   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   1 con; 0-2 aty)
%            Number of variables   :  177 ( 117   !;  60   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f136,plain,
    $false,
    inference(subsumption_resolution,[],[f135,f79]) ).

fof(f79,plain,
    ! [X0] : r2(X0,sK11(X0)),
    inference(equality_resolution,[],[f68]) ).

fof(f68,plain,
    ! [X2,X0] :
      ( sK11(X0) != X2
      | r2(X0,X2) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X2] :
      ( ( sK11(X0) != X2
        & ~ r2(X0,X2) )
      | ( sK11(X0) = X2
        & r2(X0,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f20,f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ( X1 != X2
            & ~ r2(X0,X2) )
          | ( X1 = X2
            & r2(X0,X2) ) )
     => ! [X2] :
          ( ( sK11(X0) != X2
            & ~ r2(X0,X2) )
          | ( sK11(X0) = X2
            & r2(X0,X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( X1 != X2
        & ~ r2(X0,X2) )
      | ( X1 = X2
        & r2(X0,X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2] :
    ? [X3] :
    ! [X4] :
      ( ( X3 != X4
        & ~ r2(X2,X4) )
      | ( X3 = X4
        & r2(X2,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f135,plain,
    ~ r2(sK0,sK11(sK0)),
    inference(forward_demodulation,[],[f134,f122]) ).

fof(f122,plain,
    ! [X0] : sK11(X0) = sK8(X0,sK0),
    inference(unit_resulting_resolution,[],[f116,f67]) ).

fof(f67,plain,
    ! [X2,X0] :
      ( ~ r2(X0,X2)
      | sK11(X0) = X2 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f116,plain,
    ! [X0] : r2(X0,sK8(X0,sK0)),
    inference(superposition,[],[f111,f104]) ).

fof(f104,plain,
    ! [X0] : sK4(X0,sK0) = X0,
    inference(unit_resulting_resolution,[],[f85,f54]) ).

fof(f54,plain,
    ! [X3,X0,X1] :
      ( ~ r3(X0,X1,X3)
      | sK4(X0,X1) = X3 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1,X3] :
      ( ( ~ r3(X0,X1,X3)
        & sK4(X0,X1) != X3 )
      | ( r3(X0,X1,X3)
        & sK4(X0,X1) = X3 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f16,f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( ~ r3(X0,X1,X3)
            & X2 != X3 )
          | ( r3(X0,X1,X3)
            & X2 = X3 ) )
     => ! [X3] :
          ( ( ~ r3(X0,X1,X3)
            & sK4(X0,X1) != X3 )
          | ( r3(X0,X1,X3)
            & sK4(X0,X1) = X3 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( ~ r3(X0,X1,X3)
        & X2 != X3 )
      | ( r3(X0,X1,X3)
        & X2 = X3 ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X5,X6] :
    ? [X7] :
    ! [X8] :
      ( ( ~ r3(X5,X6,X8)
        & X7 != X8 )
      | ( r3(X5,X6,X8)
        & X7 = X8 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f85,plain,
    ! [X0] : r3(X0,sK0,X0),
    inference(backward_demodulation,[],[f81,f83]) ).

fof(f83,plain,
    ! [X0] : sK0 = sK6(X0),
    inference(unit_resulting_resolution,[],[f57,f47]) ).

fof(f47,plain,
    ! [X1] :
      ( ~ r1(X1)
      | sK0 = X1 ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X1] :
      ( ( sK0 = X1
        & r1(X1) )
      | ( ~ r1(X1)
        & sK0 != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f23]) ).

fof(f23,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( X0 = X1
          & r1(X1) )
        | ( ~ r1(X1)
          & X0 != X1 ) )
   => ! [X1] :
        ( ( sK0 = X1
          & r1(X1) )
        | ( ~ r1(X1)
          & sK0 != X1 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( X0 = X1
        & r1(X1) )
      | ( ~ r1(X1)
        & X0 != X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f57,plain,
    ! [X0] : r1(sK6(X0)),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( sK5(X0) = X0
      & r1(sK6(X0))
      & r3(X0,sK6(X0),sK5(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f15,f32,f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 = X1
          & ? [X2] :
              ( r1(X2)
              & r3(X0,X2,X1) ) )
     => ( sK5(X0) = X0
        & ? [X2] :
            ( r1(X2)
            & r3(X0,X2,sK5(X0)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ! [X0] :
      ( ? [X2] :
          ( r1(X2)
          & r3(X0,X2,sK5(X0)) )
     => ( r1(sK6(X0))
        & r3(X0,sK6(X0),sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ! [X0] :
    ? [X1] :
      ( X0 = X1
      & ? [X2] :
          ( r1(X2)
          & r3(X0,X2,X1) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X29] :
    ? [X30] :
      ( X29 = X30
      & ? [X31] :
          ( r1(X31)
          & r3(X29,X31,X30) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).

fof(f81,plain,
    ! [X0] : r3(X0,sK6(X0),X0),
    inference(backward_demodulation,[],[f56,f58]) ).

fof(f58,plain,
    ! [X0] : sK5(X0) = X0,
    inference(cnf_transformation,[],[f33]) ).

fof(f56,plain,
    ! [X0] : r3(X0,sK6(X0),sK5(X0)),
    inference(cnf_transformation,[],[f33]) ).

fof(f111,plain,
    ! [X0,X1] : r2(sK4(X0,X1),sK8(X0,X1)),
    inference(backward_demodulation,[],[f71,f105]) ).

fof(f105,plain,
    ! [X0,X1] : sK4(X0,X1) = sK10(X0,X1),
    inference(unit_resulting_resolution,[],[f61,f54]) ).

fof(f61,plain,
    ! [X0,X1] : r3(X0,X1,sK10(X0,X1)),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( r3(X0,sK9(X0,X1),sK8(X0,X1))
      & r2(X1,sK9(X0,X1))
      & sK7(X0,X1) = sK8(X0,X1)
      & r2(sK10(X0,X1),sK7(X0,X1))
      & r3(X0,X1,sK10(X0,X1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f17,f39,f38,f37,f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( r3(X0,X4,X3)
                  & r2(X1,X4) )
              & X2 = X3 )
          & ? [X5] :
              ( r2(X5,X2)
              & r3(X0,X1,X5) ) )
     => ( ? [X3] :
            ( ? [X4] :
                ( r3(X0,X4,X3)
                & r2(X1,X4) )
            & sK7(X0,X1) = X3 )
        & ? [X5] :
            ( r2(X5,sK7(X0,X1))
            & r3(X0,X1,X5) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ? [X4] :
              ( r3(X0,X4,X3)
              & r2(X1,X4) )
          & sK7(X0,X1) = X3 )
     => ( ? [X4] :
            ( r3(X0,X4,sK8(X0,X1))
            & r2(X1,X4) )
        & sK7(X0,X1) = sK8(X0,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( r3(X0,X4,sK8(X0,X1))
          & r2(X1,X4) )
     => ( r3(X0,sK9(X0,X1),sK8(X0,X1))
        & r2(X1,sK9(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( r2(X5,sK7(X0,X1))
          & r3(X0,X1,X5) )
     => ( r2(sK10(X0,X1),sK7(X0,X1))
        & r3(X0,X1,sK10(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f17,plain,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( ? [X4] :
              ( r3(X0,X4,X3)
              & r2(X1,X4) )
          & X2 = X3 )
      & ? [X5] :
          ( r2(X5,X2)
          & r3(X0,X1,X5) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X13,X14] :
    ? [X15] :
      ( ? [X16] :
          ( ? [X17] :
              ( r2(X14,X17)
              & r3(X13,X17,X16) )
          & X15 = X16 )
      & ? [X18] :
          ( r2(X18,X15)
          & r3(X13,X14,X18) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).

fof(f71,plain,
    ! [X0,X1] : r2(sK10(X0,X1),sK8(X0,X1)),
    inference(definition_unfolding,[],[f62,f63]) ).

fof(f63,plain,
    ! [X0,X1] : sK7(X0,X1) = sK8(X0,X1),
    inference(cnf_transformation,[],[f40]) ).

fof(f62,plain,
    ! [X0,X1] : r2(sK10(X0,X1),sK7(X0,X1)),
    inference(cnf_transformation,[],[f40]) ).

fof(f134,plain,
    ~ r2(sK0,sK8(sK0,sK0)),
    inference(forward_demodulation,[],[f133,f107]) ).

fof(f107,plain,
    ! [X0,X1] : sK8(X0,X1) = sK4(X0,sK11(X1)),
    inference(unit_resulting_resolution,[],[f92,f54]) ).

fof(f92,plain,
    ! [X0,X1] : r3(X0,sK11(X1),sK8(X0,X1)),
    inference(backward_demodulation,[],[f65,f90]) ).

fof(f90,plain,
    ! [X0,X1] : sK11(X1) = sK9(X0,X1),
    inference(unit_resulting_resolution,[],[f64,f67]) ).

fof(f64,plain,
    ! [X0,X1] : r2(X1,sK9(X0,X1)),
    inference(cnf_transformation,[],[f40]) ).

fof(f65,plain,
    ! [X0,X1] : r3(X0,sK9(X0,X1),sK8(X0,X1)),
    inference(cnf_transformation,[],[f40]) ).

fof(f133,plain,
    ~ r2(sK0,sK4(sK0,sK11(sK0))),
    inference(unit_resulting_resolution,[],[f73,f73,f79,f73,f79,f111,f92,f76]) ).

fof(f76,plain,
    ! [X2,X3,X1,X6,X7,X4,X5] :
      ( ~ r3(X2,X1,X5)
      | ~ r1(X7)
      | ~ r2(X6,X5)
      | ~ r2(X4,X3)
      | ~ r1(X4)
      | ~ r1(X2)
      | ~ r2(X3,X1)
      | ~ r2(X7,X6) ),
    inference(equality_resolution,[],[f59]) ).

fof(f59,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ r1(X2)
      | ~ r3(X2,X1,X0)
      | ~ r1(X4)
      | ~ r2(X4,X3)
      | ~ r2(X3,X1)
      | ~ r2(X7,X6)
      | ~ r1(X7)
      | ~ r2(X6,X5)
      | X0 != X5 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ r1(X2)
              | ~ r3(X2,X1,X0) )
          | ! [X3] :
              ( ! [X4] :
                  ( ~ r1(X4)
                  | ~ r2(X4,X3) )
              | ~ r2(X3,X1) ) )
      | ! [X5] :
          ( ! [X6] :
              ( ! [X7] :
                  ( ~ r2(X7,X6)
                  | ~ r1(X7) )
              | ~ r2(X6,X5) )
          | X0 != X5 ) ),
    inference(rectify,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X4] :
              ( ~ r1(X4)
              | ~ r3(X4,X1,X0) )
          | ! [X2] :
              ( ! [X3] :
                  ( ~ r1(X3)
                  | ~ r2(X3,X2) )
              | ~ r2(X2,X1) ) )
      | ! [X5] :
          ( ! [X6] :
              ( ! [X7] :
                  ( ~ r2(X7,X6)
                  | ~ r1(X7) )
              | ~ r2(X6,X5) )
          | X0 != X5 ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ~ ? [X0] :
        ( ? [X5] :
            ( X0 = X5
            & ? [X6] :
                ( r2(X6,X5)
                & ? [X7] :
                    ( r2(X7,X6)
                    & r1(X7) ) ) )
        & ? [X1] :
            ( ? [X4] :
                ( r3(X4,X1,X0)
                & r1(X4) )
            & ? [X2] :
                ( r2(X2,X1)
                & ? [X3] :
                    ( r2(X3,X2)
                    & r1(X3) ) ) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ? [X38] :
        ( ? [X21] :
            ( ? [X15] :
                ( ? [X24] :
                    ( r1(X24)
                    & r2(X24,X15) )
                & r2(X15,X21) )
            & ? [X18] :
                ( r1(X18)
                & r3(X18,X21,X38) ) )
        & ? [X22] :
            ( X22 = X38
            & ? [X16] :
                ( ? [X33] :
                    ( r2(X33,X16)
                    & r1(X33) )
                & r2(X16,X22) ) ) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ? [X38] :
      ( ? [X21] :
          ( ? [X15] :
              ( ? [X24] :
                  ( r1(X24)
                  & r2(X24,X15) )
              & r2(X15,X21) )
          & ? [X18] :
              ( r1(X18)
              & r3(X18,X21,X38) ) )
      & ? [X22] :
          ( X22 = X38
          & ? [X16] :
              ( ? [X33] :
                  ( r2(X33,X16)
                  & r1(X33) )
              & r2(X16,X22) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zeroplustwoeqtwo) ).

fof(f73,plain,
    r1(sK0),
    inference(equality_resolution,[],[f44]) ).

fof(f44,plain,
    ! [X1] :
      ( r1(X1)
      | sK0 != X1 ),
    inference(cnf_transformation,[],[f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUN055+2 : TPTP v8.1.0. Released v7.3.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n024.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   : Tue Aug 30 09:43:34 EDT 2022
% 0.19/0.34  % CPUTime    : 
% 0.19/0.47  % (5638)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.47  % (5630)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.48  % (5630)Refutation not found, incomplete strategy% (5630)------------------------------
% 0.19/0.48  % (5630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (5630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (5630)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48  
% 0.19/0.48  % (5630)Memory used [KB]: 1535
% 0.19/0.48  % (5630)Time elapsed: 0.066 s
% 0.19/0.48  % (5630)Instructions burned: 3 (million)
% 0.19/0.48  % (5630)------------------------------
% 0.19/0.48  % (5630)------------------------------
% 0.19/0.48  % (5618)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50  % (5638)Instruction limit reached!
% 0.19/0.50  % (5638)------------------------------
% 0.19/0.50  % (5638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (5638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (5638)Termination reason: Unknown
% 0.19/0.50  % (5638)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (5638)Memory used [KB]: 6396
% 0.19/0.50  % (5638)Time elapsed: 0.079 s
% 0.19/0.50  % (5638)Instructions burned: 30 (million)
% 0.19/0.50  % (5638)------------------------------
% 0.19/0.50  % (5638)------------------------------
% 0.19/0.50  % (5633)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (5633)Instruction limit reached!
% 0.19/0.50  % (5633)------------------------------
% 0.19/0.50  % (5633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (5633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (5633)Termination reason: Unknown
% 0.19/0.50  % (5633)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (5633)Memory used [KB]: 6012
% 0.19/0.50  % (5633)Time elapsed: 0.102 s
% 0.19/0.50  % (5633)Instructions burned: 7 (million)
% 0.19/0.50  % (5633)------------------------------
% 0.19/0.50  % (5633)------------------------------
% 0.19/0.51  % (5628)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.51  % (5628)Refutation not found, incomplete strategy% (5628)------------------------------
% 0.19/0.51  % (5628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (5628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (5628)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (5628)Memory used [KB]: 6012
% 0.19/0.51  % (5628)Time elapsed: 0.109 s
% 0.19/0.51  % (5628)Instructions burned: 3 (million)
% 0.19/0.51  % (5628)------------------------------
% 0.19/0.51  % (5628)------------------------------
% 0.19/0.51  % (5626)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (5640)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.52  % (5645)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52  % (5624)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52  % (5619)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52  % (5629)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (5619)Refutation not found, incomplete strategy% (5619)------------------------------
% 0.19/0.53  % (5619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (5619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (5619)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (5619)Memory used [KB]: 6012
% 0.19/0.53  % (5619)Time elapsed: 0.117 s
% 0.19/0.53  % (5619)Instructions burned: 3 (million)
% 0.19/0.53  % (5619)------------------------------
% 0.19/0.53  % (5619)------------------------------
% 0.19/0.53  % (5627)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53  % (5632)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (5647)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53  % (5632)Instruction limit reached!
% 0.19/0.53  % (5632)------------------------------
% 0.19/0.53  % (5632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (5632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (5632)Termination reason: Unknown
% 0.19/0.53  % (5632)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (5632)Memory used [KB]: 6012
% 0.19/0.53  % (5632)Time elapsed: 0.101 s
% 0.19/0.53  % (5632)Instructions burned: 4 (million)
% 0.19/0.53  % (5632)------------------------------
% 0.19/0.53  % (5632)------------------------------
% 0.19/0.53  % (5622)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53  % (5625)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53  % (5620)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (5620)Instruction limit reached!
% 0.19/0.53  % (5620)------------------------------
% 0.19/0.53  % (5620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (5620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (5620)Termination reason: Unknown
% 0.19/0.53  % (5620)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (5620)Memory used [KB]: 1535
% 0.19/0.53  % (5620)Time elapsed: 0.004 s
% 0.19/0.53  % (5620)Instructions burned: 3 (million)
% 0.19/0.53  % (5620)------------------------------
% 0.19/0.53  % (5620)------------------------------
% 0.19/0.53  % (5639)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (5635)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (5635)Instruction limit reached!
% 0.19/0.53  % (5635)------------------------------
% 0.19/0.53  % (5635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (5635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (5635)Termination reason: Unknown
% 0.19/0.53  % (5635)Termination phase: Finite model building preprocessing
% 0.19/0.53  
% 0.19/0.53  % (5635)Memory used [KB]: 6012
% 0.19/0.53  % (5635)Time elapsed: 0.003 s
% 0.19/0.53  % (5635)Instructions burned: 4 (million)
% 0.19/0.53  % (5635)------------------------------
% 0.19/0.53  % (5635)------------------------------
% 0.19/0.54  % (5637)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.54  % (5642)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (5631)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (5621)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (5623)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.54  % (5646)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54  % (5623)Refutation not found, incomplete strategy% (5623)------------------------------
% 0.19/0.54  % (5623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (5623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (5623)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (5623)Memory used [KB]: 1535
% 0.19/0.54  % (5623)Time elapsed: 0.138 s
% 0.19/0.54  % (5623)Instructions burned: 3 (million)
% 0.19/0.54  % (5623)------------------------------
% 0.19/0.54  % (5623)------------------------------
% 0.19/0.54  % (5643)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.54  % (5646)Refutation not found, incomplete strategy% (5646)------------------------------
% 0.19/0.54  % (5646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (5646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (5646)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (5646)Memory used [KB]: 6012
% 0.19/0.54  % (5646)Time elapsed: 0.120 s
% 0.19/0.54  % (5646)Instructions burned: 3 (million)
% 0.19/0.54  % (5646)------------------------------
% 0.19/0.54  % (5646)------------------------------
% 0.19/0.55  % (5622)Instruction limit reached!
% 0.19/0.55  % (5622)------------------------------
% 0.19/0.55  % (5622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (5622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (5622)Termination reason: Unknown
% 0.19/0.55  % (5622)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (5622)Memory used [KB]: 6140
% 0.19/0.55  % (5622)Time elapsed: 0.135 s
% 0.19/0.55  % (5622)Instructions burned: 13 (million)
% 0.19/0.55  % (5622)------------------------------
% 0.19/0.55  % (5622)------------------------------
% 0.19/0.55  % (5634)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55  % (5629)First to succeed.
% 0.19/0.55  % (5629)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Theorem for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (5629)------------------------------
% 0.19/0.55  % (5629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (5629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (5629)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (5629)Memory used [KB]: 6012
% 0.19/0.55  % (5629)Time elapsed: 0.149 s
% 0.19/0.55  % (5629)Instructions burned: 5 (million)
% 0.19/0.55  % (5629)------------------------------
% 0.19/0.55  % (5629)------------------------------
% 0.19/0.55  % (5617)Success in time 0.193 s
%------------------------------------------------------------------------------