TSTP Solution File: KLE009+4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KLE009+4 : TPTP v8.1.0. Released v4.0.0.
% 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 : n005.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 17:27:34 EDT 2022

% Result   : Theorem 1.51s 0.57s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   74 (  23 unt;   0 def)
%            Number of atoms       :  174 (  58 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  187 (  87   ~;  54   |;  32   &)
%                                         (   7 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   88 (  80   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f193,plain,
    $false,
    inference(subsumption_resolution,[],[f192,f64]) ).

fof(f64,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).

fof(f192,plain,
    one != addition(one,one),
    inference(resolution,[],[f191,f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | addition(X0,X1) != X1 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | addition(X0,X1) != X1 ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ! [X1,X0] :
      ( leq(X1,X0)
      | addition(X1,X0) != X0 ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X1,X0] :
      ( addition(X1,X0) = X0
     => leq(X1,X0) ),
    inference(unused_predicate_definition_removal,[],[f22]) ).

fof(f22,plain,
    ! [X1,X0] :
      ( leq(X1,X0)
    <=> addition(X1,X0) = X0 ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X1,X0] :
      ( addition(X0,X1) = X1
    <=> leq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).

fof(f191,plain,
    ~ leq(one,one),
    inference(duplicate_literal_removal,[],[f190]) ).

fof(f190,plain,
    ( ~ leq(one,one)
    | ~ leq(one,one) ),
    inference(forward_demodulation,[],[f189,f171]) ).

fof(f171,plain,
    one = addition(sK0,c(sK0)),
    inference(resolution,[],[f98,f73]) ).

fof(f73,plain,
    test(sK0),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( ( ~ leq(addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1))),one)
      | ~ leq(one,addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1)))) )
    & test(sK1)
    & test(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f50,f51]) ).

fof(f51,plain,
    ( ? [X0,X1] :
        ( ( ~ leq(addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one)
          | ~ leq(one,addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))) )
        & test(X1)
        & test(X0) )
   => ( ( ~ leq(addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1))),one)
        | ~ leq(one,addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1)))) )
      & test(sK1)
      & test(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ? [X0,X1] :
      ( ( ~ leq(addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one)
        | ~ leq(one,addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))) )
      & test(X1)
      & test(X0) ),
    inference(rectify,[],[f42]) ).

fof(f42,plain,
    ? [X1,X0] :
      ( ( ~ leq(addition(addition(addition(multiplication(X1,X0),multiplication(X1,c(X0))),multiplication(c(X1),X0)),multiplication(c(X1),c(X0))),one)
        | ~ leq(one,addition(addition(addition(multiplication(X1,X0),multiplication(X1,c(X0))),multiplication(c(X1),X0)),multiplication(c(X1),c(X0)))) )
      & test(X0)
      & test(X1) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ? [X1,X0] :
      ( ( ~ leq(addition(addition(addition(multiplication(X1,X0),multiplication(X1,c(X0))),multiplication(c(X1),X0)),multiplication(c(X1),c(X0))),one)
        | ~ leq(one,addition(addition(addition(multiplication(X1,X0),multiplication(X1,c(X0))),multiplication(c(X1),X0)),multiplication(c(X1),c(X0)))) )
      & test(X1)
      & test(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ! [X1,X0] :
        ( ( test(X1)
          & test(X0) )
       => ( leq(one,addition(addition(addition(multiplication(X1,X0),multiplication(X1,c(X0))),multiplication(c(X1),X0)),multiplication(c(X1),c(X0))))
          & leq(addition(addition(addition(multiplication(X1,X0),multiplication(X1,c(X0))),multiplication(c(X1),X0)),multiplication(c(X1),c(X0))),one) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ! [X4,X3] :
        ( ( test(X4)
          & test(X3) )
       => ( leq(addition(addition(addition(multiplication(X3,X4),multiplication(X3,c(X4))),multiplication(c(X3),X4)),multiplication(c(X3),c(X4))),one)
          & leq(one,addition(addition(addition(multiplication(X3,X4),multiplication(X3,c(X4))),multiplication(c(X3),X4)),multiplication(c(X3),c(X4)))) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ! [X4,X3] :
      ( ( test(X4)
        & test(X3) )
     => ( leq(addition(addition(addition(multiplication(X3,X4),multiplication(X3,c(X4))),multiplication(c(X3),X4)),multiplication(c(X3),c(X4))),one)
        & leq(one,addition(addition(addition(multiplication(X3,X4),multiplication(X3,c(X4))),multiplication(c(X3),X4)),multiplication(c(X3),c(X4)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f98,plain,
    ! [X1] :
      ( ~ test(X1)
      | one = addition(X1,c(X1)) ),
    inference(forward_demodulation,[],[f97,f80]) ).

fof(f80,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).

fof(f97,plain,
    ! [X1] :
      ( one = addition(c(X1),X1)
      | ~ test(X1) ),
    inference(resolution,[],[f69,f85]) ).

fof(f85,plain,
    ! [X1] :
      ( complement(X1,c(X1))
      | ~ test(X1) ),
    inference(equality_resolution,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( complement(X1,X0)
      | c(X1) != X0
      | ~ test(X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ( ( c(X1) = X0
          | ~ complement(X1,X0) )
        & ( complement(X1,X0)
          | c(X1) != X0 ) )
      | ~ test(X1) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ( c(X1) = X0
      <=> complement(X1,X0) )
      | ~ test(X1) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( test(X1)
     => ( c(X1) = X0
      <=> complement(X1,X0) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X4,X3] :
      ( test(X3)
     => ( c(X3) = X4
      <=> complement(X3,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ complement(X1,X0)
      | addition(X0,X1) = one ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ( complement(X1,X0)
        | zero != multiplication(X1,X0)
        | zero != multiplication(X0,X1)
        | addition(X0,X1) != one )
      & ( ( zero = multiplication(X1,X0)
          & zero = multiplication(X0,X1)
          & addition(X0,X1) = one )
        | ~ complement(X1,X0) ) ),
    inference(rectify,[],[f48]) ).

fof(f48,plain,
    ! [X1,X0] :
      ( ( complement(X0,X1)
        | zero != multiplication(X0,X1)
        | zero != multiplication(X1,X0)
        | addition(X1,X0) != one )
      & ( ( zero = multiplication(X0,X1)
          & zero = multiplication(X1,X0)
          & addition(X1,X0) = one )
        | ~ complement(X0,X1) ) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X1,X0] :
      ( ( complement(X0,X1)
        | zero != multiplication(X0,X1)
        | zero != multiplication(X1,X0)
        | addition(X1,X0) != one )
      & ( ( zero = multiplication(X0,X1)
          & zero = multiplication(X1,X0)
          & addition(X1,X0) = one )
        | ~ complement(X0,X1) ) ),
    inference(nnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X1,X0] :
      ( complement(X0,X1)
    <=> ( zero = multiplication(X0,X1)
        & zero = multiplication(X1,X0)
        & addition(X1,X0) = one ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X4,X3] :
      ( ( zero = multiplication(X4,X3)
        & one = addition(X3,X4)
        & zero = multiplication(X3,X4) )
    <=> complement(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).

fof(f189,plain,
    ( ~ leq(one,one)
    | ~ leq(one,addition(sK0,c(sK0))) ),
    inference(backward_demodulation,[],[f188,f171]) ).

fof(f188,plain,
    ( ~ leq(one,addition(sK0,c(sK0)))
    | ~ leq(addition(sK0,c(sK0)),one) ),
    inference(forward_demodulation,[],[f187,f80]) ).

fof(f187,plain,
    ( ~ leq(addition(c(sK0),sK0),one)
    | ~ leq(one,addition(sK0,c(sK0))) ),
    inference(forward_demodulation,[],[f186,f80]) ).

fof(f186,plain,
    ( ~ leq(one,addition(c(sK0),sK0))
    | ~ leq(addition(c(sK0),sK0),one) ),
    inference(forward_demodulation,[],[f185,f65]) ).

fof(f65,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).

fof(f185,plain,
    ( ~ leq(addition(c(sK0),multiplication(sK0,one)),one)
    | ~ leq(one,addition(c(sK0),sK0)) ),
    inference(forward_demodulation,[],[f184,f65]) ).

fof(f184,plain,
    ( ~ leq(one,addition(c(sK0),multiplication(sK0,one)))
    | ~ leq(addition(c(sK0),multiplication(sK0,one)),one) ),
    inference(forward_demodulation,[],[f183,f172]) ).

fof(f172,plain,
    one = addition(sK1,c(sK1)),
    inference(resolution,[],[f98,f74]) ).

fof(f74,plain,
    test(sK1),
    inference(cnf_transformation,[],[f52]) ).

fof(f183,plain,
    ( ~ leq(addition(c(sK0),multiplication(sK0,addition(sK1,c(sK1)))),one)
    | ~ leq(one,addition(c(sK0),multiplication(sK0,one))) ),
    inference(forward_demodulation,[],[f182,f172]) ).

fof(f182,plain,
    ( ~ leq(one,addition(c(sK0),multiplication(sK0,addition(sK1,c(sK1)))))
    | ~ leq(addition(c(sK0),multiplication(sK0,addition(sK1,c(sK1)))),one) ),
    inference(forward_demodulation,[],[f181,f82]) ).

fof(f82,plain,
    ! [X2,X0,X1] : addition(multiplication(X1,X0),multiplication(X1,X2)) = multiplication(X1,addition(X0,X2)),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2] : addition(multiplication(X1,X0),multiplication(X1,X2)) = multiplication(X1,addition(X0,X2)),
    inference(rectify,[],[f26]) ).

fof(f26,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X2,X1)) = addition(multiplication(X0,X2),multiplication(X0,X1)),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X2,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).

fof(f181,plain,
    ( ~ leq(addition(c(sK0),addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1)))),one)
    | ~ leq(one,addition(c(sK0),multiplication(sK0,addition(sK1,c(sK1))))) ),
    inference(forward_demodulation,[],[f180,f82]) ).

fof(f180,plain,
    ( ~ leq(one,addition(c(sK0),addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1)))))
    | ~ leq(addition(c(sK0),addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1)))),one) ),
    inference(forward_demodulation,[],[f179,f142]) ).

fof(f142,plain,
    ! [X6,X4,X5] : addition(X4,addition(X5,X6)) = addition(X6,addition(X4,X5)),
    inference(superposition,[],[f80,f84]) ).

fof(f84,plain,
    ! [X2,X0,X1] : addition(X2,addition(X0,X1)) = addition(addition(X2,X0),X1),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1,X2] : addition(X2,addition(X0,X1)) = addition(addition(X2,X0),X1),
    inference(rectify,[],[f28]) ).

fof(f28,plain,
    ! [X0,X2,X1] : addition(addition(X1,X0),X2) = addition(X1,addition(X0,X2)),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X0,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).

fof(f179,plain,
    ( ~ leq(one,addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),c(sK0))))
    | ~ leq(addition(c(sK0),addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1)))),one) ),
    inference(forward_demodulation,[],[f178,f142]) ).

fof(f178,plain,
    ( ~ leq(addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),c(sK0))),one)
    | ~ leq(one,addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),c(sK0)))) ),
    inference(forward_demodulation,[],[f177,f65]) ).

fof(f177,plain,
    ( ~ leq(one,addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),multiplication(c(sK0),one))))
    | ~ leq(addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),c(sK0))),one) ),
    inference(forward_demodulation,[],[f176,f65]) ).

fof(f176,plain,
    ( ~ leq(addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),multiplication(c(sK0),one))),one)
    | ~ leq(one,addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),multiplication(c(sK0),one)))) ),
    inference(forward_demodulation,[],[f175,f172]) ).

fof(f175,plain,
    ( ~ leq(addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),multiplication(c(sK0),addition(sK1,c(sK1))))),one)
    | ~ leq(one,addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),multiplication(c(sK0),one)))) ),
    inference(backward_demodulation,[],[f91,f172]) ).

fof(f91,plain,
    ( ~ leq(addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),multiplication(c(sK0),addition(sK1,c(sK1))))),one)
    | ~ leq(one,addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),multiplication(c(sK0),addition(sK1,c(sK1)))))) ),
    inference(forward_demodulation,[],[f90,f82]) ).

fof(f90,plain,
    ( ~ leq(one,addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),multiplication(c(sK0),addition(sK1,c(sK1))))))
    | ~ leq(addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),addition(multiplication(c(sK0),sK1),multiplication(c(sK0),c(sK1))))),one) ),
    inference(forward_demodulation,[],[f89,f84]) ).

fof(f89,plain,
    ( ~ leq(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),addition(multiplication(c(sK0),sK1),multiplication(c(sK0),c(sK1)))),one)
    | ~ leq(one,addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),multiplication(c(sK0),addition(sK1,c(sK1)))))) ),
    inference(forward_demodulation,[],[f88,f82]) ).

fof(f88,plain,
    ( ~ leq(one,addition(multiplication(sK0,sK1),addition(multiplication(sK0,c(sK1)),addition(multiplication(c(sK0),sK1),multiplication(c(sK0),c(sK1))))))
    | ~ leq(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),addition(multiplication(c(sK0),sK1),multiplication(c(sK0),c(sK1)))),one) ),
    inference(forward_demodulation,[],[f87,f84]) ).

fof(f87,plain,
    ( ~ leq(one,addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),addition(multiplication(c(sK0),sK1),multiplication(c(sK0),c(sK1)))))
    | ~ leq(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),addition(multiplication(c(sK0),sK1),multiplication(c(sK0),c(sK1)))),one) ),
    inference(forward_demodulation,[],[f86,f84]) ).

fof(f86,plain,
    ( ~ leq(addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1))),one)
    | ~ leq(one,addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),addition(multiplication(c(sK0),sK1),multiplication(c(sK0),c(sK1))))) ),
    inference(forward_demodulation,[],[f75,f84]) ).

fof(f75,plain,
    ( ~ leq(one,addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1))))
    | ~ leq(addition(addition(addition(multiplication(sK0,sK1),multiplication(sK0,c(sK1))),multiplication(c(sK0),sK1)),multiplication(c(sK0),c(sK1))),one) ),
    inference(cnf_transformation,[],[f52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KLE009+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n005.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   : Tue Aug 30 00:21:18 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (22669)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)
% 1.20/0.53  % (22685)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)
% 1.20/0.53  % (22665)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)
% 1.20/0.53  % (22663)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.20/0.53  % (22681)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.20/0.53  % (22668)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)
% 1.20/0.53  % (22666)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)
% 1.20/0.53  % (22667)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)
% 1.20/0.53  % (22664)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)
% 1.20/0.53  % (22690)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)
% 1.20/0.53  % (22676)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)
% 1.20/0.53  % (22672)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)
% 1.20/0.53  % (22675)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)
% 1.20/0.54  % (22677)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)
% 1.20/0.54  % (22675)Refutation not found, incomplete strategy% (22675)------------------------------
% 1.20/0.54  % (22675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.20/0.54  % (22675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.20/0.54  % (22675)Termination reason: Refutation not found, incomplete strategy
% 1.20/0.54  
% 1.20/0.54  % (22675)Memory used [KB]: 1407
% 1.20/0.54  % (22675)Time elapsed: 0.134 s
% 1.20/0.54  % (22675)Instructions burned: 2 (million)
% 1.20/0.54  % (22675)------------------------------
% 1.20/0.54  % (22675)------------------------------
% 1.20/0.54  % (22677)Instruction limit reached!
% 1.20/0.54  % (22677)------------------------------
% 1.20/0.54  % (22677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.20/0.54  % (22677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.20/0.54  % (22677)Termination reason: Unknown
% 1.20/0.54  % (22677)Termination phase: Saturation
% 1.20/0.54  
% 1.20/0.54  % (22677)Memory used [KB]: 5884
% 1.20/0.54  % (22677)Time elapsed: 0.004 s
% 1.20/0.54  % (22677)Instructions burned: 3 (million)
% 1.20/0.54  % (22677)------------------------------
% 1.20/0.54  % (22677)------------------------------
% 1.20/0.54  % (22682)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)
% 1.20/0.54  % (22682)Refutation not found, incomplete strategy% (22682)------------------------------
% 1.20/0.54  % (22682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.20/0.54  % (22682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.20/0.54  % (22682)Termination reason: Refutation not found, incomplete strategy
% 1.20/0.54  
% 1.20/0.54  % (22682)Memory used [KB]: 5884
% 1.20/0.54  % (22682)Time elapsed: 0.136 s
% 1.20/0.54  % (22682)Instructions burned: 3 (million)
% 1.20/0.54  % (22682)------------------------------
% 1.20/0.54  % (22682)------------------------------
% 1.20/0.54  % (22691)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)
% 1.20/0.54  % (22692)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)
% 1.51/0.54  % (22673)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)
% 1.51/0.54  % (22688)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)
% 1.51/0.54  % (22674)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)
% 1.51/0.54  % (22665)Instruction limit reached!
% 1.51/0.54  % (22665)------------------------------
% 1.51/0.54  % (22665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54  % (22665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54  % (22665)Termination reason: Unknown
% 1.51/0.54  % (22665)Termination phase: Saturation
% 1.51/0.54  
% 1.51/0.54  % (22665)Memory used [KB]: 5884
% 1.51/0.54  % (22665)Time elapsed: 0.122 s
% 1.51/0.54  % (22665)Instructions burned: 3 (million)
% 1.51/0.54  % (22665)------------------------------
% 1.51/0.54  % (22665)------------------------------
% 1.51/0.54  % (22681)Instruction limit reached!
% 1.51/0.54  % (22681)------------------------------
% 1.51/0.54  % (22681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54  % (22681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54  % (22681)Termination reason: Unknown
% 1.51/0.54  % (22681)Termination phase: Saturation
% 1.51/0.54  
% 1.51/0.54  % (22681)Memory used [KB]: 5884
% 1.51/0.54  % (22681)Time elapsed: 0.003 s
% 1.51/0.54  % (22681)Instructions burned: 3 (million)
% 1.51/0.54  % (22681)------------------------------
% 1.51/0.54  % (22681)------------------------------
% 1.51/0.55  % (22687)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)
% 1.51/0.55  % (22673)Refutation not found, incomplete strategy% (22673)------------------------------
% 1.51/0.55  % (22673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55  % (22673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55  % (22673)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.55  
% 1.51/0.55  % (22673)Memory used [KB]: 5884
% 1.51/0.55  % (22673)Time elapsed: 0.146 s
% 1.51/0.55  % (22673)Instructions burned: 2 (million)
% 1.51/0.55  % (22673)------------------------------
% 1.51/0.55  % (22673)------------------------------
% 1.51/0.55  % (22667)Instruction limit reached!
% 1.51/0.55  % (22667)------------------------------
% 1.51/0.55  % (22667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55  % (22667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55  % (22667)Termination reason: Unknown
% 1.51/0.55  % (22667)Termination phase: Saturation
% 1.51/0.55  
% 1.51/0.55  % (22667)Memory used [KB]: 6140
% 1.51/0.55  % (22667)Time elapsed: 0.143 s
% 1.51/0.55  % (22667)Instructions burned: 14 (million)
% 1.51/0.55  % (22667)------------------------------
% 1.51/0.55  % (22667)------------------------------
% 1.51/0.55  % (22668)Instruction limit reached!
% 1.51/0.55  % (22668)------------------------------
% 1.51/0.55  % (22668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55  % (22684)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)
% 1.51/0.55  % (22679)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)
% 1.51/0.55  % (22683)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)
% 1.51/0.55  % (22689)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.51/0.55  % (22680)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.51/0.55  % (22692)First to succeed.
% 1.51/0.56  % (22674)Instruction limit reached!
% 1.51/0.56  % (22674)------------------------------
% 1.51/0.56  % (22674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.56  % (22674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.56  % (22674)Termination reason: Unknown
% 1.51/0.56  % (22674)Termination phase: Saturation
% 1.51/0.56  
% 1.51/0.56  % (22674)Memory used [KB]: 6012
% 1.51/0.56  % (22674)Time elapsed: 0.160 s
% 1.51/0.56  % (22674)Instructions burned: 7 (million)
% 1.51/0.56  % (22674)------------------------------
% 1.51/0.56  % (22674)------------------------------
% 1.51/0.56  % (22664)Instruction limit reached!
% 1.51/0.56  % (22664)------------------------------
% 1.51/0.56  % (22664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.56  % (22664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.56  % (22664)Termination reason: Unknown
% 1.51/0.56  % (22664)Termination phase: Saturation
% 1.51/0.56  
% 1.51/0.56  % (22664)Memory used [KB]: 6140
% 1.51/0.56  % (22664)Time elapsed: 0.142 s
% 1.51/0.56  % (22664)Instructions burned: 14 (million)
% 1.51/0.56  % (22664)------------------------------
% 1.51/0.56  % (22664)------------------------------
% 1.51/0.56  % (22671)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)
% 1.51/0.56  % (22669)Instruction limit reached!
% 1.51/0.56  % (22669)------------------------------
% 1.51/0.56  % (22669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.56  % (22669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.56  % (22669)Termination reason: Unknown
% 1.51/0.56  % (22669)Termination phase: Saturation
% 1.51/0.56  
% 1.51/0.56  % (22669)Memory used [KB]: 6652
% 1.51/0.56  % (22669)Time elapsed: 0.156 s
% 1.51/0.56  % (22669)Instructions burned: 40 (million)
% 1.51/0.56  % (22669)------------------------------
% 1.51/0.56  % (22669)------------------------------
% 1.51/0.56  % (22683)Refutation not found, incomplete strategy% (22683)------------------------------
% 1.51/0.56  % (22683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.56  % (22683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.56  % (22683)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.56  
% 1.51/0.56  % (22683)Memory used [KB]: 6012
% 1.51/0.56  % (22683)Time elapsed: 0.162 s
% 1.51/0.56  % (22683)Instructions burned: 6 (million)
% 1.51/0.56  % (22683)------------------------------
% 1.51/0.56  % (22683)------------------------------
% 1.51/0.56  % (22668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.56  % (22668)Termination reason: Unknown
% 1.51/0.56  % (22668)Termination phase: Saturation
% 1.51/0.56  
% 1.51/0.56  % (22668)Memory used [KB]: 1663
% 1.51/0.56  % (22668)Time elapsed: 0.144 s
% 1.51/0.56  % (22668)Instructions burned: 16 (million)
% 1.51/0.56  % (22668)------------------------------
% 1.51/0.56  % (22668)------------------------------
% 1.51/0.57  % (22692)Refutation found. Thanks to Tanya!
% 1.51/0.57  % SZS status Theorem for theBenchmark
% 1.51/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.57  % (22692)------------------------------
% 1.51/0.57  % (22692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.57  % (22692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.57  % (22692)Termination reason: Refutation
% 1.51/0.57  
% 1.51/0.57  % (22692)Memory used [KB]: 6012
% 1.51/0.57  % (22692)Time elapsed: 0.163 s
% 1.51/0.57  % (22692)Instructions burned: 8 (million)
% 1.51/0.57  % (22692)------------------------------
% 1.51/0.57  % (22692)------------------------------
% 1.51/0.57  % (22662)Success in time 0.205 s
%------------------------------------------------------------------------------