TSTP Solution File: KLE027+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KLE027+2 : 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_sat --cores 0 -t %d %s

% Computer : n001.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 17:28:51 EDT 2022

% Result   : Theorem 3.18s 0.81s
% Output   : Refutation 3.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   84 (  41 unt;   0 def)
%            Number of atoms       :  173 (  69 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  143 (  54   ~;  44   |;  30   &)
%                                         (   8 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :  129 ( 109   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1218,plain,
    $false,
    inference(avatar_sat_refutation,[],[f83,f1207,f1217]) ).

fof(f1217,plain,
    spl6_2,
    inference(avatar_contradiction_clause,[],[f1216]) ).

fof(f1216,plain,
    ( $false
    | spl6_2 ),
    inference(subsumption_resolution,[],[f1215,f119]) ).

fof(f119,plain,
    ! [X0] : leq(X0,X0),
    inference(trivial_inequality_removal,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( leq(X0,X0)
      | X0 != X0 ),
    inference(superposition,[],[f51,f55]) ).

fof(f55,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

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

fof(f51,plain,
    ! [X0,X1] :
      ( addition(X0,X1) != X1
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | addition(X0,X1) != X1 ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( addition(X0,X1) = X1
     => leq(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

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

fof(f1215,plain,
    ( ~ leq(addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)),addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)))
    | spl6_2 ),
    inference(forward_demodulation,[],[f1214,f71]) ).

fof(f71,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,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/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).

fof(f1214,plain,
    ( ~ leq(addition(multiplication(c(sK4),sK1),multiplication(sK4,sK3)),addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)))
    | spl6_2 ),
    inference(forward_demodulation,[],[f1213,f1203]) ).

fof(f1203,plain,
    ! [X4] : multiplication(sK4,X4) = multiplication(sK4,multiplication(sK4,X4)),
    inference(superposition,[],[f50,f1188]) ).

fof(f1188,plain,
    sK4 = multiplication(sK4,sK4),
    inference(forward_demodulation,[],[f1178,f59]) ).

fof(f59,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).

fof(f1178,plain,
    multiplication(sK4,sK4) = multiplication(one,sK4),
    inference(superposition,[],[f529,f408]) ).

fof(f408,plain,
    one = addition(c(sK4),sK4),
    inference(resolution,[],[f67,f89]) ).

fof(f89,plain,
    complement(sK4,c(sK4)),
    inference(resolution,[],[f72,f62]) ).

fof(f62,plain,
    test(sK4),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ( test(sK4)
    & ( ~ leq(addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)),addition(multiplication(sK4,addition(multiplication(sK4,sK3),multiplication(c(sK4),sK0))),multiplication(c(sK4),sK1)))
      | ~ leq(addition(multiplication(sK4,addition(multiplication(sK4,sK3),multiplication(c(sK4),sK0))),multiplication(c(sK4),sK1)),addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1))) )
    & test(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f38,f39]) ).

fof(f39,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( test(X4)
        & ( ~ leq(addition(multiplication(X4,X3),multiplication(c(X4),X1)),addition(multiplication(X4,addition(multiplication(X4,X3),multiplication(c(X4),X0))),multiplication(c(X4),X1)))
          | ~ leq(addition(multiplication(X4,addition(multiplication(X4,X3),multiplication(c(X4),X0))),multiplication(c(X4),X1)),addition(multiplication(X4,X3),multiplication(c(X4),X1))) )
        & test(X2) )
   => ( test(sK4)
      & ( ~ leq(addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)),addition(multiplication(sK4,addition(multiplication(sK4,sK3),multiplication(c(sK4),sK0))),multiplication(c(sK4),sK1)))
        | ~ leq(addition(multiplication(sK4,addition(multiplication(sK4,sK3),multiplication(c(sK4),sK0))),multiplication(c(sK4),sK1)),addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1))) )
      & test(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f38,plain,
    ? [X0,X1,X2,X3,X4] :
      ( test(X4)
      & ( ~ leq(addition(multiplication(X4,X3),multiplication(c(X4),X1)),addition(multiplication(X4,addition(multiplication(X4,X3),multiplication(c(X4),X0))),multiplication(c(X4),X1)))
        | ~ leq(addition(multiplication(X4,addition(multiplication(X4,X3),multiplication(c(X4),X0))),multiplication(c(X4),X1)),addition(multiplication(X4,X3),multiplication(c(X4),X1))) )
      & test(X2) ),
    inference(rectify,[],[f31]) ).

fof(f31,plain,
    ? [X2,X3,X0,X4,X1] :
      ( test(X1)
      & ( ~ leq(addition(multiplication(X1,X4),multiplication(c(X1),X3)),addition(multiplication(X1,addition(multiplication(X1,X4),multiplication(c(X1),X2))),multiplication(c(X1),X3)))
        | ~ leq(addition(multiplication(X1,addition(multiplication(X1,X4),multiplication(c(X1),X2))),multiplication(c(X1),X3)),addition(multiplication(X1,X4),multiplication(c(X1),X3))) )
      & test(X0) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ? [X3,X1,X0,X2,X4] :
      ( ( ~ leq(addition(multiplication(X1,X4),multiplication(c(X1),X3)),addition(multiplication(X1,addition(multiplication(X1,X4),multiplication(c(X1),X2))),multiplication(c(X1),X3)))
        | ~ leq(addition(multiplication(X1,addition(multiplication(X1,X4),multiplication(c(X1),X2))),multiplication(c(X1),X3)),addition(multiplication(X1,X4),multiplication(c(X1),X3))) )
      & test(X1)
      & test(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ~ ! [X3,X1,X0,X2,X4] :
        ( ( test(X1)
          & test(X0) )
       => ( leq(addition(multiplication(X1,addition(multiplication(X1,X4),multiplication(c(X1),X2))),multiplication(c(X1),X3)),addition(multiplication(X1,X4),multiplication(c(X1),X3)))
          & leq(addition(multiplication(X1,X4),multiplication(c(X1),X3)),addition(multiplication(X1,addition(multiplication(X1,X4),multiplication(c(X1),X2))),multiplication(c(X1),X3))) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,negated_conjecture,
    ~ ! [X7,X6,X4,X5,X3] :
        ( ( test(X7)
          & test(X6) )
       => ( leq(addition(multiplication(X6,X3),multiplication(c(X6),X5)),addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)))
          & leq(addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)),addition(multiplication(X6,X3),multiplication(c(X6),X5))) ) ),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    ! [X7,X6,X4,X5,X3] :
      ( ( test(X7)
        & test(X6) )
     => ( leq(addition(multiplication(X6,X3),multiplication(c(X6),X5)),addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)))
        & leq(addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)),addition(multiplication(X6,X3),multiplication(c(X6),X5))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f72,plain,
    ! [X0] :
      ( ~ test(X0)
      | complement(X0,c(X0)) ),
    inference(equality_resolution,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ test(X0)
      | complement(X0,X1)
      | c(X0) != X1 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ test(X0)
      | ( ( c(X0) = X1
          | ~ complement(X0,X1) )
        & ( complement(X0,X1)
          | c(X0) != X1 ) ) ),
    inference(rectify,[],[f36]) ).

fof(f36,plain,
    ! [X1,X0] :
      ( ~ test(X1)
      | ( ( c(X1) = X0
          | ~ complement(X1,X0) )
        & ( complement(X1,X0)
          | c(X1) != X0 ) ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X1,X0] :
      ( ~ test(X1)
      | ( c(X1) = X0
      <=> complement(X1,X0) ) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,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/sandbox/benchmark/theBenchmark.p',test_3) ).

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

fof(f46,plain,
    ! [X0,X1] :
      ( ( 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,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ( 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,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( 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/sandbox/benchmark/theBenchmark.p',test_2) ).

fof(f529,plain,
    ! [X1] : multiplication(X1,sK4) = multiplication(addition(c(sK4),X1),sK4),
    inference(forward_demodulation,[],[f522,f99]) ).

fof(f99,plain,
    ! [X1] : addition(zero,X1) = X1,
    inference(superposition,[],[f71,f54]) ).

fof(f54,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).

fof(f522,plain,
    ! [X1] : multiplication(addition(c(sK4),X1),sK4) = addition(zero,multiplication(X1,sK4)),
    inference(superposition,[],[f49,f497]) ).

fof(f497,plain,
    zero = multiplication(c(sK4),sK4),
    inference(resolution,[],[f68,f89]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ complement(X0,X1)
      | zero = multiplication(X1,X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f49,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(rectify,[],[f19]) ).

fof(f19,plain,
    ! [X2,X0,X1] : multiplication(addition(X2,X0),X1) = addition(multiplication(X2,X1),multiplication(X0,X1)),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X1,X2,X0] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).

fof(f50,plain,
    ! [X2,X0,X1] : multiplication(multiplication(X1,X0),X2) = multiplication(X1,multiplication(X0,X2)),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2] : multiplication(multiplication(X1,X0),X2) = multiplication(X1,multiplication(X0,X2)),
    inference(rectify,[],[f21]) ).

fof(f21,plain,
    ! [X1,X2,X0] : multiplication(X2,multiplication(X1,X0)) = multiplication(multiplication(X2,X1),X0),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X2,X1,X0] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).

fof(f1213,plain,
    ( ~ leq(addition(multiplication(c(sK4),sK1),multiplication(sK4,multiplication(sK4,sK3))),addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)))
    | spl6_2 ),
    inference(forward_demodulation,[],[f82,f714]) ).

fof(f714,plain,
    ! [X6,X5] : multiplication(sK4,addition(X6,multiplication(c(sK4),X5))) = multiplication(sK4,X6),
    inference(forward_demodulation,[],[f711,f54]) ).

fof(f711,plain,
    ! [X6,X5] : addition(multiplication(sK4,X6),zero) = multiplication(sK4,addition(X6,multiplication(c(sK4),X5))),
    inference(superposition,[],[f48,f661]) ).

fof(f661,plain,
    ! [X4] : zero = multiplication(sK4,multiplication(c(sK4),X4)),
    inference(forward_demodulation,[],[f660,f64]) ).

fof(f64,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] : zero = multiplication(zero,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).

fof(f660,plain,
    ! [X4] : multiplication(sK4,multiplication(c(sK4),X4)) = multiplication(zero,X4),
    inference(superposition,[],[f50,f630]) ).

fof(f630,plain,
    zero = multiplication(sK4,c(sK4)),
    inference(resolution,[],[f69,f89]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ complement(X0,X1)
      | zero = multiplication(X0,X1) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f48,plain,
    ! [X2,X0,X1] : multiplication(X2,addition(X1,X0)) = addition(multiplication(X2,X1),multiplication(X2,X0)),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] : multiplication(X2,addition(X1,X0)) = addition(multiplication(X2,X1),multiplication(X2,X0)),
    inference(rectify,[],[f8]) ).

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

fof(f82,plain,
    ( ~ leq(addition(multiplication(c(sK4),sK1),multiplication(sK4,addition(multiplication(sK4,sK3),multiplication(c(sK4),sK0)))),addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)))
    | spl6_2 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl6_2
  <=> leq(addition(multiplication(c(sK4),sK1),multiplication(sK4,addition(multiplication(sK4,sK3),multiplication(c(sK4),sK0)))),addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f1207,plain,
    spl6_1,
    inference(avatar_contradiction_clause,[],[f1206]) ).

fof(f1206,plain,
    ( $false
    | spl6_1 ),
    inference(subsumption_resolution,[],[f1205,f119]) ).

fof(f1205,plain,
    ( ~ leq(addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)),addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)))
    | spl6_1 ),
    inference(forward_demodulation,[],[f1204,f71]) ).

fof(f1204,plain,
    ( ~ leq(addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)),addition(multiplication(c(sK4),sK1),multiplication(sK4,sK3)))
    | spl6_1 ),
    inference(backward_demodulation,[],[f715,f1203]) ).

fof(f715,plain,
    ( ~ leq(addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)),addition(multiplication(c(sK4),sK1),multiplication(sK4,multiplication(sK4,sK3))))
    | spl6_1 ),
    inference(backward_demodulation,[],[f78,f714]) ).

fof(f78,plain,
    ( ~ leq(addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)),addition(multiplication(c(sK4),sK1),multiplication(sK4,addition(multiplication(sK4,sK3),multiplication(c(sK4),sK0)))))
    | spl6_1 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f76,plain,
    ( spl6_1
  <=> leq(addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)),addition(multiplication(c(sK4),sK1),multiplication(sK4,addition(multiplication(sK4,sK3),multiplication(c(sK4),sK0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f83,plain,
    ( ~ spl6_1
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f74,f80,f76]) ).

fof(f74,plain,
    ( ~ leq(addition(multiplication(c(sK4),sK1),multiplication(sK4,addition(multiplication(sK4,sK3),multiplication(c(sK4),sK0)))),addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)))
    | ~ leq(addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)),addition(multiplication(c(sK4),sK1),multiplication(sK4,addition(multiplication(sK4,sK3),multiplication(c(sK4),sK0))))) ),
    inference(forward_demodulation,[],[f73,f71]) ).

fof(f73,plain,
    ( ~ leq(addition(multiplication(sK4,addition(multiplication(sK4,sK3),multiplication(c(sK4),sK0))),multiplication(c(sK4),sK1)),addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)))
    | ~ leq(addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)),addition(multiplication(c(sK4),sK1),multiplication(sK4,addition(multiplication(sK4,sK3),multiplication(c(sK4),sK0))))) ),
    inference(forward_demodulation,[],[f61,f71]) ).

fof(f61,plain,
    ( ~ leq(addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1)),addition(multiplication(sK4,addition(multiplication(sK4,sK3),multiplication(c(sK4),sK0))),multiplication(c(sK4),sK1)))
    | ~ leq(addition(multiplication(sK4,addition(multiplication(sK4,sK3),multiplication(c(sK4),sK0))),multiplication(c(sK4),sK1)),addition(multiplication(sK4,sK3),multiplication(c(sK4),sK1))) ),
    inference(cnf_transformation,[],[f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : KLE027+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n001.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 00:44:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.55  % (21302)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (21294)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.57  % (21319)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.58  % (21311)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.58  % (21303)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.58  % (21298)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.59  % (21299)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.60  % (21318)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.61  % (21295)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 2.01/0.61  % (21297)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.01/0.61  % (21301)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.01/0.61  % (21293)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 2.01/0.61  % (21301)Instruction limit reached!
% 2.01/0.61  % (21301)------------------------------
% 2.01/0.61  % (21301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.61  % (21301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.61  % (21301)Termination reason: Unknown
% 2.01/0.61  % (21301)Termination phase: Saturation
% 2.01/0.61  
% 2.01/0.61  % (21301)Memory used [KB]: 5373
% 2.01/0.61  % (21301)Time elapsed: 0.003 s
% 2.01/0.61  % (21301)Instructions burned: 3 (million)
% 2.01/0.61  % (21301)------------------------------
% 2.01/0.61  % (21301)------------------------------
% 2.01/0.61  TRYING [1]
% 2.01/0.61  TRYING [2]
% 2.01/0.62  TRYING [3]
% 2.01/0.62  % (21296)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.01/0.62  % (21313)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.01/0.62  % (21308)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 2.01/0.62  % (21314)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.01/0.62  % (21316)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 2.16/0.63  % (21320)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.16/0.63  % (21306)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.16/0.63  % (21307)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.16/0.63  % (21315)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 2.16/0.63  % (21322)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 2.16/0.63  % (21321)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.16/0.63  % (21312)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.16/0.64  TRYING [1]
% 2.16/0.64  TRYING [2]
% 2.24/0.64  TRYING [3]
% 2.24/0.64  TRYING [4]
% 2.24/0.64  % (21304)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.24/0.65  % (21317)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.24/0.65  % (21305)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.24/0.65  % (21309)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.24/0.65  % (21300)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.24/0.66  % (21310)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.24/0.67  TRYING [1]
% 2.24/0.67  TRYING [2]
% 2.24/0.67  TRYING [4]
% 2.24/0.67  % (21302)Instruction limit reached!
% 2.24/0.67  % (21302)------------------------------
% 2.24/0.67  % (21302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.67  % (21303)Instruction limit reached!
% 2.24/0.67  % (21303)------------------------------
% 2.24/0.67  % (21303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.67  % (21303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.67  % (21303)Termination reason: Unknown
% 2.24/0.67  % (21303)Termination phase: Saturation
% 2.24/0.67  
% 2.24/0.67  % (21303)Memory used [KB]: 6396
% 2.24/0.67  % (21303)Time elapsed: 0.234 s
% 2.24/0.67  % (21303)Instructions burned: 50 (million)
% 2.24/0.67  % (21303)------------------------------
% 2.24/0.67  % (21303)------------------------------
% 2.24/0.68  % (21300)Instruction limit reached!
% 2.24/0.68  % (21300)------------------------------
% 2.24/0.68  % (21300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.68  % (21300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.68  % (21300)Termination reason: Unknown
% 2.24/0.68  % (21300)Termination phase: Saturation
% 2.24/0.68  
% 2.24/0.68  % (21300)Memory used [KB]: 5500
% 2.24/0.68  % (21300)Time elapsed: 0.179 s
% 2.24/0.68  % (21300)Instructions burned: 7 (million)
% 2.24/0.68  % (21300)------------------------------
% 2.24/0.68  % (21300)------------------------------
% 2.24/0.68  % (21294)Instruction limit reached!
% 2.24/0.68  % (21294)------------------------------
% 2.24/0.68  % (21294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.68  % (21294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.68  % (21294)Termination reason: Unknown
% 2.24/0.68  % (21294)Termination phase: Saturation
% 2.24/0.68  
% 2.24/0.68  % (21294)Memory used [KB]: 6268
% 2.24/0.68  % (21294)Time elapsed: 0.245 s
% 2.24/0.68  % (21294)Instructions burned: 50 (million)
% 2.24/0.68  % (21294)------------------------------
% 2.24/0.68  % (21294)------------------------------
% 2.24/0.68  % (21302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.68  % (21302)Termination reason: Unknown
% 2.24/0.68  % (21302)Termination phase: Saturation
% 2.24/0.68  
% 2.24/0.68  % (21302)Memory used [KB]: 1791
% 2.24/0.68  % (21302)Time elapsed: 0.236 s
% 2.24/0.68  % (21302)Instructions burned: 52 (million)
% 2.24/0.68  % (21302)------------------------------
% 2.24/0.68  % (21302)------------------------------
% 2.24/0.69  TRYING [3]
% 2.24/0.69  % (21299)Instruction limit reached!
% 2.24/0.69  % (21299)------------------------------
% 2.24/0.69  % (21299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.69  % (21299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.69  % (21299)Termination reason: Unknown
% 2.24/0.69  % (21299)Termination phase: Finite model building constraint generation
% 2.24/0.69  
% 2.24/0.69  % (21299)Memory used [KB]: 8443
% 2.24/0.69  % (21299)Time elapsed: 0.240 s
% 2.24/0.69  % (21299)Instructions burned: 51 (million)
% 2.24/0.69  % (21299)------------------------------
% 2.24/0.69  % (21299)------------------------------
% 2.24/0.71  % (21319)Instruction limit reached!
% 2.24/0.71  % (21319)------------------------------
% 2.24/0.71  % (21319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.71  % (21295)Instruction limit reached!
% 2.81/0.71  % (21295)------------------------------
% 2.81/0.71  % (21295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.71  % (21295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.71  % (21295)Termination reason: Unknown
% 2.81/0.71  % (21295)Termination phase: Saturation
% 2.81/0.71  
% 2.81/0.71  % (21295)Memory used [KB]: 1663
% 2.81/0.71  % (21295)Time elapsed: 0.266 s
% 2.81/0.71  % (21295)Instructions burned: 37 (million)
% 2.81/0.71  % (21295)------------------------------
% 2.81/0.71  % (21295)------------------------------
% 2.81/0.72  % (21319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.72  % (21319)Termination reason: Unknown
% 2.81/0.72  % (21319)Termination phase: Saturation
% 2.81/0.72  
% 2.81/0.72  % (21319)Memory used [KB]: 6780
% 2.81/0.72  % (21319)Time elapsed: 0.055 s
% 2.81/0.72  % (21319)Instructions burned: 68 (million)
% 2.81/0.72  % (21319)------------------------------
% 2.81/0.72  % (21319)------------------------------
% 2.81/0.72  TRYING [4]
% 2.81/0.72  % (21298)Instruction limit reached!
% 2.81/0.72  % (21298)------------------------------
% 2.81/0.72  % (21298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.74  % (21298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.74  % (21298)Termination reason: Unknown
% 2.81/0.74  % (21298)Termination phase: Saturation
% 2.81/0.74  
% 2.81/0.74  % (21298)Memory used [KB]: 6140
% 2.81/0.74  % (21298)Time elapsed: 0.308 s
% 2.81/0.74  % (21298)Instructions burned: 49 (million)
% 2.81/0.74  % (21298)------------------------------
% 2.81/0.74  % (21298)------------------------------
% 2.81/0.75  % (21297)Instruction limit reached!
% 2.81/0.75  % (21297)------------------------------
% 2.81/0.75  % (21297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.75  % (21297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.75  % (21297)Termination reason: Unknown
% 2.81/0.75  % (21297)Termination phase: Saturation
% 2.81/0.75  
% 2.81/0.75  % (21297)Memory used [KB]: 6396
% 2.81/0.75  % (21297)Time elapsed: 0.324 s
% 2.81/0.75  % (21297)Instructions burned: 52 (million)
% 2.81/0.75  % (21297)------------------------------
% 2.81/0.75  % (21297)------------------------------
% 2.81/0.76  % (21307)Instruction limit reached!
% 2.81/0.76  % (21307)------------------------------
% 2.81/0.76  % (21307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.76  % (21296)Instruction limit reached!
% 2.81/0.76  % (21296)------------------------------
% 2.81/0.76  % (21296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.81/0.76  % (21296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.76  % (21296)Termination reason: Unknown
% 2.81/0.76  % (21296)Termination phase: Saturation
% 2.81/0.76  
% 2.81/0.76  % (21296)Memory used [KB]: 6396
% 2.81/0.76  % (21296)Time elapsed: 0.298 s
% 2.81/0.76  % (21296)Instructions burned: 51 (million)
% 2.81/0.76  % (21296)------------------------------
% 2.81/0.76  % (21296)------------------------------
% 2.81/0.77  % (21307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.81/0.77  % (21307)Termination reason: Unknown
% 2.81/0.77  % (21307)Termination phase: Saturation
% 2.81/0.77  
% 2.81/0.77  % (21307)Memory used [KB]: 6780
% 2.81/0.77  % (21307)Time elapsed: 0.065 s
% 2.81/0.77  % (21307)Instructions burned: 68 (million)
% 2.81/0.77  % (21307)------------------------------
% 2.81/0.77  % (21307)------------------------------
% 3.18/0.79  % (21310)Instruction limit reached!
% 3.18/0.79  % (21310)------------------------------
% 3.18/0.79  % (21310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.79  % (21310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.79  % (21310)Termination reason: Unknown
% 3.18/0.79  % (21310)Termination phase: Finite model building SAT solving
% 3.18/0.79  
% 3.18/0.79  % (21310)Memory used [KB]: 8571
% 3.18/0.79  % (21310)Time elapsed: 0.277 s
% 3.18/0.79  % (21310)Instructions burned: 59 (million)
% 3.18/0.79  % (21310)------------------------------
% 3.18/0.79  % (21310)------------------------------
% 3.18/0.80  % (21311)Instruction limit reached!
% 3.18/0.80  % (21311)------------------------------
% 3.18/0.80  % (21311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.80  % (21311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.80  % (21311)Termination reason: Unknown
% 3.18/0.80  % (21311)Termination phase: Saturation
% 3.18/0.80  
% 3.18/0.80  % (21311)Memory used [KB]: 7291
% 3.18/0.80  % (21311)Time elapsed: 0.373 s
% 3.18/0.80  % (21311)Instructions burned: 100 (million)
% 3.18/0.80  % (21311)------------------------------
% 3.18/0.80  % (21311)------------------------------
% 3.18/0.81  % (21313)First to succeed.
% 3.18/0.81  % (21313)Refutation found. Thanks to Tanya!
% 3.18/0.81  % SZS status Theorem for theBenchmark
% 3.18/0.81  % SZS output start Proof for theBenchmark
% See solution above
% 3.18/0.81  % (21313)------------------------------
% 3.18/0.81  % (21313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.81  % (21313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.81  % (21313)Termination reason: Refutation
% 3.18/0.81  
% 3.18/0.81  % (21313)Memory used [KB]: 6652
% 3.18/0.81  % (21313)Time elapsed: 0.372 s
% 3.18/0.81  % (21313)Instructions burned: 58 (million)
% 3.18/0.81  % (21313)------------------------------
% 3.18/0.81  % (21313)------------------------------
% 3.18/0.81  % (21292)Success in time 0.451 s
%------------------------------------------------------------------------------