TSTP Solution File: KLE041+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : KLE041+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 10:06:29 EDT 2024

% Result   : Theorem 5.41s 1.16s
% Output   : Refutation 5.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  135 (  88 unt;   0 def)
%            Number of atoms       :  182 (  93 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   95 (  48   ~;  37   |;   1   &)
%                                         (   4 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  132 ( 130   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f29884,plain,
    $false,
    inference(avatar_sat_refutation,[],[f20162,f20319,f21093,f29859]) ).

fof(f29859,plain,
    ~ spl4_30,
    inference(avatar_contradiction_clause,[],[f29858]) ).

fof(f29858,plain,
    ( $false
    | ~ spl4_30 ),
    inference(trivial_inequality_removal,[],[f29820]) ).

fof(f29820,plain,
    ( sF3 != sF3
    | ~ spl4_30 ),
    inference(superposition,[],[f7497,f29804]) ).

fof(f29804,plain,
    ( sF3 = addition(sF3,multiplication(sK0,sF3))
    | ~ spl4_30 ),
    inference(forward_demodulation,[],[f29788,f21102]) ).

fof(f21102,plain,
    ( sF3 = multiplication(sF3,sF3)
    | ~ spl4_30 ),
    inference(superposition,[],[f8024,f20161]) ).

fof(f20161,plain,
    ( sF3 = star(sF3)
    | ~ spl4_30 ),
    inference(avatar_component_clause,[],[f20159]) ).

fof(f20159,plain,
    ( spl4_30
  <=> sF3 = star(sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).

fof(f8024,plain,
    star(sF3) = multiplication(sF3,star(sF3)),
    inference(superposition,[],[f7804,f7384]) ).

fof(f7384,plain,
    ! [X0] : star(X0) = addition(star(X0),multiplication(X0,star(X0))),
    inference(forward_demodulation,[],[f7346,f35]) ).

fof(f35,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f7346,plain,
    ! [X0] : star(X0) = addition(multiplication(X0,star(X0)),star(X0)),
    inference(superposition,[],[f83,f6810]) ).

fof(f6810,plain,
    ! [X0,X1] : addition(X1,star(X0)) = addition(one,addition(star(X0),X1)),
    inference(superposition,[],[f106,f6723]) ).

fof(f6723,plain,
    ! [X0] : star(X0) = addition(one,star(X0)),
    inference(superposition,[],[f91,f63]) ).

fof(f63,plain,
    ! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(star(X0),X0))),
    inference(forward_demodulation,[],[f62,f35]) ).

fof(f62,plain,
    ! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
    inference(forward_demodulation,[],[f57,f34]) ).

fof(f34,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f2]) ).

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

fof(f57,plain,
    ! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
    inference(resolution,[],[f30,f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | addition(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f12]) ).

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

fof(f30,plain,
    ! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f91,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
    inference(superposition,[],[f34,f36]) ).

fof(f36,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',unknown) ).

fof(f106,plain,
    ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
    inference(superposition,[],[f34,f35]) ).

fof(f83,plain,
    ! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(X0,star(X0)))),
    inference(forward_demodulation,[],[f82,f35]) ).

fof(f82,plain,
    ! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
    inference(forward_demodulation,[],[f77,f34]) ).

fof(f77,plain,
    ! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
    inference(resolution,[],[f31,f29]) ).

fof(f31,plain,
    ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7804,plain,
    ! [X0] : multiplication(sF3,X0) = addition(X0,multiplication(sF3,X0)),
    inference(forward_demodulation,[],[f7716,f186]) ).

fof(f186,plain,
    sF3 = addition(sF3,multiplication(sF3,sK1)),
    inference(forward_demodulation,[],[f185,f91]) ).

fof(f185,plain,
    sF3 = addition(sF3,addition(sF3,multiplication(sF3,sK1))),
    inference(forward_demodulation,[],[f184,f106]) ).

fof(f184,plain,
    sF3 = addition(sF3,addition(multiplication(sF3,sK1),sF3)),
    inference(forward_demodulation,[],[f167,f34]) ).

fof(f167,plain,
    sF3 = addition(addition(sF3,multiplication(sF3,sK1)),sF3),
    inference(superposition,[],[f119,f74]) ).

fof(f74,plain,
    sF3 = addition(one,addition(sF3,multiplication(sF3,sK1))),
    inference(forward_demodulation,[],[f73,f35]) ).

fof(f73,plain,
    sF3 = addition(one,addition(multiplication(sF3,sK1),sF3)),
    inference(forward_demodulation,[],[f72,f34]) ).

fof(f72,plain,
    sF3 = addition(addition(one,multiplication(sF3,sK1)),sF3),
    inference(resolution,[],[f61,f29]) ).

fof(f61,plain,
    leq(addition(one,multiplication(sF3,sK1)),sF3),
    inference(superposition,[],[f30,f44]) ).

fof(f44,plain,
    star(sK1) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f119,plain,
    ! [X0,X1] : addition(X1,X0) = addition(X0,addition(X1,X0)),
    inference(superposition,[],[f91,f35]) ).

fof(f7716,plain,
    ! [X0] : multiplication(sF3,X0) = addition(X0,multiplication(addition(sF3,multiplication(sF3,sK1)),X0)),
    inference(superposition,[],[f7629,f74]) ).

fof(f7629,plain,
    ! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
    inference(superposition,[],[f32,f39]) ).

fof(f39,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f32,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f29788,plain,
    ( addition(sF3,multiplication(sK0,sF3)) = multiplication(sF3,sF3)
    | ~ spl4_30 ),
    inference(superposition,[],[f21268,f8142]) ).

fof(f8142,plain,
    sF3 = addition(sK0,sF3),
    inference(forward_demodulation,[],[f8141,f8079]) ).

fof(f8079,plain,
    sF3 = addition(sK1,sF3),
    inference(forward_demodulation,[],[f8078,f186]) ).

fof(f8078,plain,
    addition(sF3,multiplication(sF3,sK1)) = addition(sK1,sF3),
    inference(forward_demodulation,[],[f8025,f35]) ).

fof(f8025,plain,
    addition(sF3,multiplication(sF3,sK1)) = addition(sF3,sK1),
    inference(superposition,[],[f421,f7804]) ).

fof(f421,plain,
    ! [X0] : addition(sF3,X0) = addition(sF3,addition(X0,multiplication(sF3,sK1))),
    inference(forward_demodulation,[],[f359,f106]) ).

fof(f359,plain,
    ! [X0] : addition(sF3,X0) = addition(multiplication(sF3,sK1),addition(sF3,X0)),
    inference(superposition,[],[f93,f186]) ).

fof(f93,plain,
    ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2),
    inference(superposition,[],[f34,f35]) ).

fof(f8141,plain,
    addition(sK1,sF3) = addition(sK0,sF3),
    inference(forward_demodulation,[],[f8122,f35]) ).

fof(f8122,plain,
    addition(sF3,sK1) = addition(sK0,sF3),
    inference(superposition,[],[f768,f8079]) ).

fof(f768,plain,
    ! [X0] : addition(sK0,addition(sK1,X0)) = addition(X0,sK1),
    inference(forward_demodulation,[],[f627,f106]) ).

fof(f627,plain,
    ! [X0] : addition(X0,sK1) = addition(sK1,addition(X0,sK0)),
    inference(superposition,[],[f106,f55]) ).

fof(f55,plain,
    sK1 = addition(sK0,sK1),
    inference(resolution,[],[f29,f24]) ).

fof(f24,plain,
    leq(sK0,sK1),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ? [X0,X1] :
      ( ~ leq(star(X0),star(X1))
      & leq(X0,X1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ~ ! [X0,X1] :
        ( leq(X0,X1)
       => leq(star(X0),star(X1)) ),
    inference(rectify,[],[f18]) ).

fof(f18,negated_conjecture,
    ~ ! [X3,X4] :
        ( leq(X3,X4)
       => leq(star(X3),star(X4)) ),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    ! [X3,X4] :
      ( leq(X3,X4)
     => leq(star(X3),star(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f21268,plain,
    ( ! [X0] : addition(sF3,multiplication(X0,sF3)) = multiplication(addition(X0,sF3),sF3)
    | ~ spl4_30 ),
    inference(forward_demodulation,[],[f21254,f35]) ).

fof(f21254,plain,
    ( ! [X0] : addition(multiplication(X0,sF3),sF3) = multiplication(addition(X0,sF3),sF3)
    | ~ spl4_30 ),
    inference(superposition,[],[f32,f21102]) ).

fof(f7497,plain,
    sF3 != addition(sF3,multiplication(sK0,sF3)),
    inference(forward_demodulation,[],[f7496,f146]) ).

fof(f146,plain,
    ! [X0] : addition(sF3,X0) = addition(sF3,addition(one,X0)),
    inference(superposition,[],[f34,f138]) ).

fof(f138,plain,
    sF3 = addition(sF3,one),
    inference(forward_demodulation,[],[f129,f35]) ).

fof(f129,plain,
    sF3 = addition(one,sF3),
    inference(superposition,[],[f91,f74]) ).

fof(f7496,plain,
    sF3 != addition(sF3,addition(one,multiplication(sK0,sF3))),
    inference(forward_demodulation,[],[f7495,f106]) ).

fof(f7495,plain,
    sF3 != addition(one,addition(multiplication(sK0,sF3),sF3)),
    inference(forward_demodulation,[],[f7494,f34]) ).

fof(f7494,plain,
    sF3 != addition(addition(one,multiplication(sK0,sF3)),sF3),
    inference(resolution,[],[f7492,f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | addition(X0,X1) != X1 ),
    inference(cnf_transformation,[],[f12]) ).

fof(f7492,plain,
    ~ leq(addition(one,multiplication(sK0,sF3)),sF3),
    inference(resolution,[],[f7490,f45]) ).

fof(f45,plain,
    ~ leq(sF2,sF3),
    inference(definition_folding,[],[f25,f44,f43]) ).

fof(f43,plain,
    star(sK0) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f25,plain,
    ~ leq(star(sK0),star(sK1)),
    inference(cnf_transformation,[],[f21]) ).

fof(f7490,plain,
    ! [X0] :
      ( leq(sF2,X0)
      | ~ leq(addition(one,multiplication(sK0,X0)),X0) ),
    inference(superposition,[],[f7485,f43]) ).

fof(f7485,plain,
    ! [X0,X1] :
      ( leq(star(X0),X1)
      | ~ leq(addition(one,multiplication(X0,X1)),X1) ),
    inference(forward_demodulation,[],[f7483,f35]) ).

fof(f7483,plain,
    ! [X0,X1] :
      ( leq(star(X0),X1)
      | ~ leq(addition(multiplication(X0,X1),one),X1) ),
    inference(superposition,[],[f26,f40]) ).

fof(f40,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',unknown) ).

fof(f26,plain,
    ! [X2,X0,X1] :
      ( leq(multiplication(star(X0),X2),X1)
      | ~ leq(addition(multiplication(X0,X1),X2),X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( leq(multiplication(star(X0),X2),X1)
      | ~ leq(addition(multiplication(X0,X1),X2),X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( leq(addition(multiplication(X0,X1),X2),X1)
     => leq(multiplication(star(X0),X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f21093,plain,
    ( ~ spl4_51
    | spl4_29 ),
    inference(avatar_split_clause,[],[f21092,f20155,f20282]) ).

fof(f20282,plain,
    ( spl4_51
  <=> leq(sF3,sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_51])]) ).

fof(f20155,plain,
    ( spl4_29
  <=> leq(multiplication(sF3,sF3),sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).

fof(f21092,plain,
    ( ~ leq(sF3,sF3)
    | spl4_29 ),
    inference(forward_demodulation,[],[f21088,f186]) ).

fof(f21088,plain,
    ( ~ leq(addition(sF3,multiplication(sF3,sK1)),sF3)
    | spl4_29 ),
    inference(resolution,[],[f20157,f13875]) ).

fof(f13875,plain,
    ! [X0] :
      ( leq(multiplication(sF3,sF3),X0)
      | ~ leq(addition(sF3,multiplication(X0,sK1)),X0) ),
    inference(forward_demodulation,[],[f13874,f146]) ).

fof(f13874,plain,
    ! [X0] :
      ( ~ leq(addition(sF3,addition(one,multiplication(X0,sK1))),X0)
      | leq(multiplication(sF3,sF3),X0) ),
    inference(forward_demodulation,[],[f13873,f34]) ).

fof(f13873,plain,
    ! [X0] :
      ( ~ leq(addition(addition(sF3,one),multiplication(X0,sK1)),X0)
      | leq(multiplication(sF3,sF3),X0) ),
    inference(forward_demodulation,[],[f13872,f35]) ).

fof(f13872,plain,
    ! [X0] :
      ( leq(multiplication(sF3,sF3),X0)
      | ~ leq(addition(multiplication(X0,sK1),addition(sF3,one)),X0) ),
    inference(forward_demodulation,[],[f13871,f7804]) ).

fof(f13871,plain,
    ! [X0] :
      ( leq(addition(sF3,multiplication(sF3,sF3)),X0)
      | ~ leq(addition(multiplication(X0,sK1),addition(sF3,one)),X0) ),
    inference(forward_demodulation,[],[f13843,f11672]) ).

fof(f11672,plain,
    ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
    inference(superposition,[],[f33,f40]) ).

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

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

fof(f13843,plain,
    ! [X0] :
      ( leq(multiplication(sF3,addition(one,sF3)),X0)
      | ~ leq(addition(multiplication(X0,sK1),addition(sF3,one)),X0) ),
    inference(superposition,[],[f7545,f11887]) ).

fof(f11887,plain,
    ! [X0] : multiplication(addition(X0,one),X0) = multiplication(X0,addition(one,X0)),
    inference(superposition,[],[f11672,f7685]) ).

fof(f7685,plain,
    ! [X0,X1] : addition(X0,multiplication(X1,X0)) = multiplication(addition(X1,one),X0),
    inference(forward_demodulation,[],[f7634,f35]) ).

fof(f7634,plain,
    ! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
    inference(superposition,[],[f32,f39]) ).

fof(f7545,plain,
    ! [X0,X1] :
      ( leq(multiplication(X0,sF3),X1)
      | ~ leq(addition(multiplication(X1,sK1),X0),X1) ),
    inference(superposition,[],[f27,f44]) ).

fof(f27,plain,
    ! [X2,X0,X1] :
      ( leq(multiplication(X2,star(X1)),X0)
      | ~ leq(addition(multiplication(X0,X1),X2),X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( leq(multiplication(X2,star(X1)),X0)
      | ~ leq(addition(multiplication(X0,X1),X2),X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1,X2] :
      ( leq(addition(multiplication(X0,X1),X2),X0)
     => leq(multiplication(X2,star(X1)),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f20157,plain,
    ( ~ leq(multiplication(sF3,sF3),sF3)
    | spl4_29 ),
    inference(avatar_component_clause,[],[f20155]) ).

fof(f20319,plain,
    spl4_51,
    inference(avatar_contradiction_clause,[],[f20318]) ).

fof(f20318,plain,
    ( $false
    | spl4_51 ),
    inference(trivial_inequality_removal,[],[f20317]) ).

fof(f20317,plain,
    ( sF3 != sF3
    | spl4_51 ),
    inference(forward_demodulation,[],[f20316,f36]) ).

fof(f20316,plain,
    ( sF3 != addition(sF3,sF3)
    | spl4_51 ),
    inference(resolution,[],[f20284,f28]) ).

fof(f20284,plain,
    ( ~ leq(sF3,sF3)
    | spl4_51 ),
    inference(avatar_component_clause,[],[f20282]) ).

fof(f20162,plain,
    ( ~ spl4_29
    | spl4_30 ),
    inference(avatar_split_clause,[],[f20153,f20159,f20155]) ).

fof(f20153,plain,
    ( sF3 = star(sF3)
    | ~ leq(multiplication(sF3,sF3),sF3) ),
    inference(forward_demodulation,[],[f20152,f11994]) ).

fof(f11994,plain,
    ! [X0] : star(X0) = addition(X0,star(X0)),
    inference(forward_demodulation,[],[f11993,f8289]) ).

fof(f8289,plain,
    ! [X0] : star(X0) = multiplication(addition(X0,one),star(X0)),
    inference(superposition,[],[f7755,f35]) ).

fof(f7755,plain,
    ! [X0] : star(X0) = multiplication(addition(one,X0),star(X0)),
    inference(superposition,[],[f7629,f7384]) ).

fof(f11993,plain,
    ! [X0] : multiplication(addition(X0,one),star(X0)) = addition(X0,star(X0)),
    inference(forward_demodulation,[],[f11992,f6723]) ).

fof(f11992,plain,
    ! [X0] : multiplication(addition(X0,one),addition(one,star(X0))) = addition(X0,addition(one,star(X0))),
    inference(forward_demodulation,[],[f11880,f34]) ).

fof(f11880,plain,
    ! [X0] : multiplication(addition(X0,one),addition(one,star(X0))) = addition(addition(X0,one),star(X0)),
    inference(superposition,[],[f11672,f8289]) ).

fof(f20152,plain,
    ( sF3 = addition(sF3,star(sF3))
    | ~ leq(multiplication(sF3,sF3),sF3) ),
    inference(forward_demodulation,[],[f20030,f35]) ).

fof(f20030,plain,
    ( ~ leq(multiplication(sF3,sF3),sF3)
    | sF3 = addition(star(sF3),sF3) ),
    inference(superposition,[],[f7489,f11035]) ).

fof(f11035,plain,
    multiplication(sF3,sF3) = addition(one,multiplication(sF3,sF3)),
    inference(superposition,[],[f8119,f44]) ).

fof(f8119,plain,
    ! [X0] : multiplication(sF3,star(X0)) = addition(one,multiplication(sF3,star(X0))),
    inference(forward_demodulation,[],[f8118,f138]) ).

fof(f8118,plain,
    ! [X0] : addition(one,multiplication(sF3,star(X0))) = multiplication(addition(sF3,one),star(X0)),
    inference(forward_demodulation,[],[f8117,f35]) ).

fof(f8117,plain,
    ! [X0] : addition(one,multiplication(sF3,star(X0))) = multiplication(addition(one,sF3),star(X0)),
    inference(forward_demodulation,[],[f8116,f7629]) ).

fof(f8116,plain,
    ! [X0] : addition(star(X0),multiplication(sF3,star(X0))) = addition(one,multiplication(sF3,star(X0))),
    inference(forward_demodulation,[],[f8062,f35]) ).

fof(f8062,plain,
    ! [X0] : addition(multiplication(sF3,star(X0)),star(X0)) = addition(one,multiplication(sF3,star(X0))),
    inference(superposition,[],[f6810,f7804]) ).

fof(f7489,plain,
    ! [X0,X1] :
      ( ~ leq(addition(one,multiplication(X0,X1)),X1)
      | addition(star(X0),X1) = X1 ),
    inference(resolution,[],[f7485,f29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : KLE041+1 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12  % Command    : run_vampire %s %d THM
% 0.11/0.34  % Computer : n025.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit   : 300
% 0.11/0.34  % WCLimit    : 300
% 0.11/0.34  % DateTime   : Thu Jun 20 22:47:39 EDT 2024
% 0.11/0.34  % CPUTime    : 
% 0.11/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.36  Running first-order theorem proving
% 0.11/0.36  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.42  % (17585)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (17587)ott+1011_1:3_drc=encompass:sil=256000:bsd=on:sp=occurrence:sos=on:newcnf=on:i=214065:afp=1:aac=none:amm=off:afq=3.64962_0 on theBenchmark for (2999ds/214065Mi)
% 0.21/0.42  % (17585)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (17592)lrs-1011_4:7_sil=2000:tgt=full:bsd=on:spb=goal:nwc=5.0:updr=off:newcnf=on:i=121:kws=arity_squared:rawr=on:bsdmm=2_0 on theBenchmark for (2999ds/121Mi)
% 0.21/0.42  % (17585)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (17588)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=231451:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/231451Mi)
% 0.21/0.42  % (17585)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (17590)dis-1002_1:2_sil=4000:i=110:nm=2:ins=3:bd=off:fsr=off:rp=on:to=lpo:nwc=5.0:fd=off:sfv=off:fs=off_0 on theBenchmark for (2999ds/110Mi)
% 0.21/0.42  % (17585)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (17591)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=107:bd=off:av=off_0 on theBenchmark for (2999ds/107Mi)
% 0.21/0.42  % (17585)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (17589)dis+1011_1:1_to=lpo:sil=4000:sp=const_max:sos=all:spb=goal:st=1.5:i=103:av=off:ss=axioms:sfv=off:bd=off:sd=2:fd=off_0 on theBenchmark for (2999ds/103Mi)
% 0.21/0.43  % (17585)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (17586)lrs-1011_16:31_bsr=on:drc=encompass:tgt=full:sp=unary_first:acc=on:updr=off:nicw=on:i=134284:sil=256000:si=on:rtra=on:to=lpo:spb=goal_then_units:nwc=5.23:urr=on:lwlo=on:fdi=20:fsd=on:awrs=decay_0 on theBenchmark for (2999ds/134284Mi)
% 0.21/0.47  % (17590)Instruction limit reached!
% 0.21/0.47  % (17590)------------------------------
% 0.21/0.47  % (17590)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47  % (17590)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47  % (17590)Termination reason: Time limit
% 0.21/0.47  % (17590)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (17590)Memory used [KB]: 2302
% 0.21/0.47  % (17590)Time elapsed: 0.052 s
% 0.21/0.47  % (17590)Instructions burned: 110 (million)
% 0.21/0.47  % (17591)Instruction limit reached!
% 0.21/0.47  % (17591)------------------------------
% 0.21/0.47  % (17591)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47  % (17591)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47  % (17592)Instruction limit reached!
% 0.21/0.47  % (17592)------------------------------
% 0.21/0.47  % (17592)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47  % (17592)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47  % (17592)Termination reason: Time limit
% 0.21/0.47  % (17592)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (17592)Memory used [KB]: 2384
% 0.21/0.47  % (17592)Time elapsed: 0.055 s
% 0.21/0.47  % (17592)Instructions burned: 121 (million)
% 0.21/0.47  % (17591)Termination reason: Time limit
% 0.21/0.47  % (17591)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (17591)Memory used [KB]: 1964
% 0.21/0.47  % (17591)Time elapsed: 0.054 s
% 0.21/0.47  % (17591)Instructions burned: 108 (million)
% 0.21/0.47  % (17589)Instruction limit reached!
% 0.21/0.47  % (17589)------------------------------
% 0.21/0.47  % (17589)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47  % (17589)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47  % (17589)Termination reason: Time limit
% 0.21/0.47  % (17589)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (17589)Memory used [KB]: 2327
% 0.21/0.47  % (17589)Time elapsed: 0.056 s
% 0.21/0.47  % (17589)Instructions burned: 103 (million)
% 0.21/0.53  % (17585)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53  % (17595)dis-1010_1:12_sil=2000:sims=off:bce=on:nwc=2.0:newcnf=on:s2a=on:i=150:s2at=2.0:bd=off:fsr=off:irw=on:alpa=false:rawr=on:sp=occurrence_0 on theBenchmark for (2998ds/150Mi)
% 0.21/0.53  % (17585)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53  % (17593)lrs-21_1:1_sil=4000:sos=on:lcm=predicate:i=107:sd=2:ss=axioms_0 on theBenchmark for (2998ds/107Mi)
% 1.22/0.53  % (17585)Running in auto input_syntax mode. Trying TPTP
% 1.22/0.53  % (17594)lrs+1011_1166409:524288_bsr=unit_only:to=lpo:drc=off:sil=2000:fde=unused:avsql=on:etr=on:sp=occurrence:spb=goal_then_units:lsd=50:rp=on:nwc=6.05391:avsqc=5:sac=on:newcnf=on:avsq=on:i=132:bs=unit_only:afp=300:aac=none:avsqr=13677,1048576:nm=0:ins=3:fsr=off:fsd=on:afq=4.16901:uhcvi=on:afr=on:rawr=on:fsdmm=3:gsp=on_0 on theBenchmark for (2998ds/132Mi)
% 1.22/0.53  % (17585)Running in auto input_syntax mode. Trying TPTP
% 1.22/0.53  % (17596)dis+10_52093:131072_drc=off:sil=2000:tgt=ground:irw=on:foolp=on:lma=on:urr=ec_only:nwc=5.20774:st=1.5:i=124:sd=2:kws=inv_frequency:nm=7:ins=3:av=off:uhcvi=on:ss=axioms:rawr=on_0 on theBenchmark for (2998ds/124Mi)
% 1.42/0.57  % (17593)Instruction limit reached!
% 1.42/0.57  % (17593)------------------------------
% 1.42/0.57  % (17593)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.42/0.57  % (17593)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.42/0.57  % (17593)Termination reason: Time limit
% 1.42/0.57  % (17593)Termination phase: Saturation
% 1.42/0.57  
% 1.42/0.57  % (17593)Memory used [KB]: 2219
% 1.42/0.57  % (17593)Time elapsed: 0.050 s
% 1.42/0.57  % (17593)Instructions burned: 108 (million)
% 1.42/0.59  % (17596)Instruction limit reached!
% 1.42/0.59  % (17596)------------------------------
% 1.42/0.59  % (17596)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.42/0.59  % (17596)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.42/0.59  % (17596)Termination reason: Time limit
% 1.42/0.59  % (17596)Termination phase: Saturation
% 1.42/0.59  
% 1.42/0.59  % (17596)Memory used [KB]: 2192
% 1.42/0.59  % (17596)Time elapsed: 0.065 s
% 1.42/0.59  % (17596)Instructions burned: 125 (million)
% 1.42/0.60  % (17594)Instruction limit reached!
% 1.42/0.60  % (17594)------------------------------
% 1.42/0.60  % (17594)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.42/0.60  % (17594)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.42/0.60  % (17594)Termination reason: Time limit
% 1.42/0.60  % (17594)Termination phase: Saturation
% 1.42/0.60  
% 1.42/0.60  % (17594)Memory used [KB]: 1840
% 1.42/0.60  % (17594)Time elapsed: 0.069 s
% 1.42/0.60  % (17594)Instructions burned: 132 (million)
% 1.42/0.60  % (17595)Instruction limit reached!
% 1.42/0.60  % (17595)------------------------------
% 1.42/0.60  % (17595)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.42/0.60  % (17595)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.42/0.60  % (17595)Termination reason: Time limit
% 1.42/0.60  % (17595)Termination phase: Saturation
% 1.42/0.60  
% 1.42/0.60  % (17595)Memory used [KB]: 2406
% 1.42/0.60  % (17595)Time elapsed: 0.076 s
% 1.42/0.60  % (17595)Instructions burned: 150 (million)
% 1.42/0.63  % (17585)Running in auto input_syntax mode. Trying TPTP
% 1.42/0.63  % (17597)lrs+11_1:1024_sil=2000:spb=units:rp=on:updr=off:st=6.0:i=109:sd=3:ss=axioms:sac=on:ep=R_0 on theBenchmark for (2997ds/109Mi)
% 1.42/0.63  % (17597)Refutation not found, incomplete strategy% (17597)------------------------------
% 1.42/0.63  % (17597)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.42/0.63  % (17597)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.42/0.63  % (17597)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.63  
% 1.42/0.63  % (17597)Memory used [KB]: 1136
% 1.42/0.63  % (17597)Time elapsed: 0.003 s
% 1.42/0.63  % (17597)Instructions burned: 2 (million)
% 1.42/0.63  % (17597)------------------------------
% 1.42/0.63  % (17597)------------------------------
% 1.94/0.65  % (17585)Running in auto input_syntax mode. Trying TPTP
% 1.94/0.65  % (17598)dis+1011_3:7_to=lpo:sos=on:spb=goal_then_units:abs=on:lsd=20:st=1.5:i=113:sd=2:aac=none:awrs=decay:bd=off:ss=axioms:sgt=32:flr=on:sil=256000:nm=26_0 on theBenchmark for (2997ds/113Mi)
% 1.94/0.65  % (17585)Running in auto input_syntax mode. Trying TPTP
% 1.94/0.65  % (17600)lrs+1011_1:128_sil=2000:sos=on:st=3.0:i=114:sd=5:bd=off:ss=axioms:av=off_0 on theBenchmark for (2997ds/114Mi)
% 1.94/0.65  % (17585)Running in auto input_syntax mode. Trying TPTP
% 1.94/0.65  % (17599)dis+1002_1:1_sil=2000:tgt=full:spb=goal:avsq=on:i=173:avsqr=19,107:er=known:rawr=on:nwc=3.7:cond=fast:abs=on_0 on theBenchmark for (2997ds/173Mi)
% 1.94/0.66  % (17600)Refutation not found, incomplete strategy% (17600)------------------------------
% 1.94/0.66  % (17600)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.94/0.66  % (17600)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.94/0.66  % (17600)Termination reason: Refutation not found, incomplete strategy
% 1.94/0.66  
% 1.94/0.66  % (17600)Memory used [KB]: 1132
% 1.94/0.66  % (17600)Time elapsed: 0.003 s
% 1.94/0.66  % (17600)Instructions burned: 3 (million)
% 1.94/0.66  % (17600)------------------------------
% 1.94/0.66  % (17600)------------------------------
% 1.94/0.68  % (17585)Running in auto input_syntax mode. Trying TPTP
% 1.94/0.68  % (17601)lrs+1011_1:1_sil=16000:fde=unused:plsqc=1:plsq=on:plsqr=32,1:sos=on:nwc=10.0:i=143:kws=frequency:nm=2:lsd=1:bd=off_0 on theBenchmark for (2997ds/143Mi)
% 2.14/0.71  % (17598)Instruction limit reached!
% 2.14/0.71  % (17598)------------------------------
% 2.14/0.71  % (17598)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.14/0.71  % (17598)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.14/0.71  % (17598)Termination reason: Time limit
% 2.14/0.71  % (17598)Termination phase: Saturation
% 2.14/0.71  
% 2.14/0.71  % (17598)Memory used [KB]: 2227
% 2.14/0.71  % (17598)Time elapsed: 0.059 s
% 2.14/0.71  % (17598)Instructions burned: 113 (million)
% 2.14/0.71  % (17585)Running in auto input_syntax mode. Trying TPTP
% 2.14/0.71  % (17602)lrs+1011_649:65536_drc=encompass:sil=2000:tgt=ground:plsqc=1:plsq=on:plsqr=8,111:sp=reverse_frequency:plsql=on:newcnf=on:i=1659:afp=50:fsr=off:afq=3.63765:afr=on:ss=axioms:sgt=16:bd=off:cond=on_0 on theBenchmark for (2997ds/1659Mi)
% 2.14/0.72  % (17601)Instruction limit reached!
% 2.14/0.72  % (17601)------------------------------
% 2.14/0.72  % (17601)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.14/0.72  % (17601)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.14/0.72  % (17601)Termination reason: Time limit
% 2.14/0.72  % (17601)Termination phase: Saturation
% 2.14/0.72  
% 2.14/0.72  % (17601)Memory used [KB]: 2293
% 2.14/0.72  % (17601)Time elapsed: 0.040 s
% 2.14/0.72  % (17601)Instructions burned: 143 (million)
% 2.14/0.74  % (17599)Instruction limit reached!
% 2.14/0.74  % (17599)------------------------------
% 2.14/0.74  % (17599)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.14/0.74  % (17599)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.14/0.74  % (17599)Termination reason: Time limit
% 2.14/0.74  % (17599)Termination phase: Saturation
% 2.14/0.74  
% 2.14/0.74  % (17599)Memory used [KB]: 2527
% 2.14/0.74  % (17599)Time elapsed: 0.090 s
% 2.14/0.74  % (17599)Instructions burned: 173 (million)
% 2.51/0.75  % (17585)Running in auto input_syntax mode. Trying TPTP
% 2.51/0.75  % (17604)dis+1011_543:505_drc=encompass:sil=128000:tgt=full:etr=on:sp=frequency:nwc=4.8:avsqc=4:sac=on:avsq=on:st=7.0:i=151:kws=precedence:avsqr=2669309,1048576:awrs=converge:awrsf=975:bd=off:nm=16:ss=axioms:rawr=on:bsd=on:add=large_0 on theBenchmark for (2996ds/151Mi)
% 2.70/0.77  % (17585)Running in auto input_syntax mode. Trying TPTP
% 2.70/0.77  % (17603)dis-1011_1:3_nwc=10.0:s2agt=8:s2a=on:i=145:bs=on:av=off:sp=occurrence:sil=2000:si=on:rtra=on:random_seed=2126866997:updr=off:bd=off_0 on theBenchmark for (2996ds/145Mi)
% 2.70/0.80  % (17585)Running in auto input_syntax mode. Trying TPTP
% 2.70/0.80  % (17605)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=224:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/224Mi)
% 2.70/0.81  % (17604)Instruction limit reached!
% 2.70/0.81  % (17604)------------------------------
% 2.70/0.81  % (17604)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.70/0.81  % (17604)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.70/0.81  % (17604)Termination reason: Time limit
% 2.70/0.81  % (17604)Termination phase: Saturation
% 2.70/0.81  
% 2.70/0.81  % (17604)Memory used [KB]: 1880
% 2.70/0.81  % (17604)Time elapsed: 0.062 s
% 2.70/0.81  % (17604)Instructions burned: 151 (million)
% 2.86/0.84  % (17603)Instruction limit reached!
% 2.86/0.84  % (17603)------------------------------
% 2.86/0.84  % (17603)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.86/0.84  % (17603)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.86/0.84  % (17603)Termination reason: Time limit
% 2.86/0.84  % (17603)Termination phase: Saturation
% 2.86/0.84  
% 2.86/0.84  % (17603)Memory used [KB]: 2068
% 2.86/0.84  % (17603)Time elapsed: 0.074 s
% 2.86/0.84  % (17603)Instructions burned: 147 (million)
% 3.20/0.86  % (17585)Running in auto input_syntax mode. Trying TPTP
% 3.20/0.86  % (17606)lrs+1002_1:1_sfv=off:drc=encompass:sil=2000:fde=unused:sp=frequency:nwc=10.0:flr=on:st=1.5:i=226:bd=off:nm=0:ins=4:fsr=off:fsd=on:ss=axioms:s2a=on:s2agt=32:to=lpo:aac=none:sims=off_0 on theBenchmark for (2995ds/226Mi)
% 3.20/0.89  % (17585)Running in auto input_syntax mode. Trying TPTP
% 3.20/0.89  % (17607)lrs+1010_1:4_sil=2000:tgt=ground:sp=reverse_frequency:nwc=5.0:i=206:av=off:bd=off:kmz=on_0 on theBenchmark for (2995ds/206Mi)
% 3.20/0.90  % (17605)Instruction limit reached!
% 3.20/0.90  % (17605)------------------------------
% 3.20/0.90  % (17605)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.20/0.90  % (17605)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.20/0.90  % (17605)Termination reason: Time limit
% 3.20/0.90  % (17605)Termination phase: Saturation
% 3.20/0.90  
% 3.20/0.90  % (17605)Memory used [KB]: 3424
% 3.20/0.90  % (17605)Time elapsed: 0.100 s
% 3.20/0.90  % (17605)Instructions burned: 225 (million)
% 3.60/0.95  % (17606)Instruction limit reached!
% 3.60/0.95  % (17606)------------------------------
% 3.60/0.95  % (17606)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.60/0.95  % (17606)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.60/0.95  % (17606)Termination reason: Time limit
% 3.60/0.95  % (17606)Termination phase: Saturation
% 3.60/0.95  
% 3.60/0.95  % (17606)Memory used [KB]: 2176
% 3.60/0.95  % (17606)Time elapsed: 0.101 s
% 3.60/0.95  % (17606)Instructions burned: 226 (million)
% 3.60/0.96  % (17585)Running in auto input_syntax mode. Trying TPTP
% 3.60/0.96  % (17608)dis+1011_1:4_bsr=on:to=lpo:sil=2000:tgt=ground:plsqc=1:plsq=on:plsqr=4477983,65536:sp=frequency:erd=off:spb=goal:nwc=2.0:sac=on:newcnf=on:cond=fast:st=5.0:i=251:nm=16:ss=axioms:rawr=on:lsd=100:awrs=converge_0 on theBenchmark for (2994ds/251Mi)
% 3.91/1.00  % (17607)Instruction limit reached!
% 3.91/1.00  % (17607)------------------------------
% 3.91/1.00  % (17607)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.91/1.00  % (17607)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.91/1.00  % (17607)Termination reason: Time limit
% 3.91/1.00  % (17607)Termination phase: Saturation
% 3.91/1.00  
% 3.91/1.00  % (17607)Memory used [KB]: 2183
% 3.91/1.00  % (17607)Time elapsed: 0.109 s
% 3.91/1.00  % (17607)Instructions burned: 206 (million)
% 3.91/1.02  % (17585)Running in auto input_syntax mode. Trying TPTP
% 3.91/1.02  % (17609)lrs-1011_1:1_to=lpo:drc=off:sil=2000:sp=const_min:sos=on:lsd=10:sac=on:i=271:br=off:newcnf=on_0 on theBenchmark for (2994ds/271Mi)
% 3.91/1.02  % (17609)Refutation not found, incomplete strategy% (17609)------------------------------
% 3.91/1.02  % (17609)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.91/1.02  % (17609)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.91/1.02  % (17609)Termination reason: Refutation not found, incomplete strategy
% 3.91/1.02  
% 3.91/1.02  % (17609)Memory used [KB]: 1125
% 3.91/1.02  % (17609)Time elapsed: 0.004 s
% 3.91/1.02  % (17609)Instructions burned: 4 (million)
% 3.91/1.02  % (17609)------------------------------
% 3.91/1.02  % (17609)------------------------------
% 4.31/1.06  % (17585)Running in auto input_syntax mode. Trying TPTP
% 4.31/1.06  % (17610)lrs+1011_8:13_slsqr=96,997:drc=off:sil=64000:sp=const_max:spb=goal_then_units:rnwc=on:nwc=5.0:slsq=on:cond=on:i=285:kws=precedence:rawr=on:fd=preordered:av=off:bs=unit_only_0 on theBenchmark for (2993ds/285Mi)
% 4.31/1.07  % (17585)Running in auto input_syntax mode. Trying TPTP
% 4.31/1.07  % (17611)lrs+1011_16:1_to=lpo:sil=2000:spb=goal_then_units:urr=on:lsd=1:i=285:bd=off:ss=axioms:gsp=on:sac=on_0 on theBenchmark for (2993ds/285Mi)
% 5.04/1.08  % (17608)Instruction limit reached!
% 5.04/1.08  % (17608)------------------------------
% 5.04/1.08  % (17608)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.04/1.08  % (17608)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.04/1.08  % (17608)Termination reason: Time limit
% 5.04/1.08  % (17608)Termination phase: Saturation
% 5.04/1.08  
% 5.04/1.08  % (17608)Memory used [KB]: 2705
% 5.04/1.08  % (17608)Time elapsed: 0.124 s
% 5.04/1.08  % (17608)Instructions burned: 251 (million)
% 5.41/1.13  % (17585)Running in auto input_syntax mode. Trying TPTP
% 5.41/1.13  % (17612)dis-1002_1:1_to=lpo:drc=encompass:sil=2000:sp=const_max:nwc=10.0:s2a=on:i=286:s2at=2.0:afp=10:ins=16:afq=1.4:aac=none:rawr=on:fsr=off:alpa=true_0 on theBenchmark for (2992ds/286Mi)
% 5.41/1.16  % (17611)Instruction limit reached!
% 5.41/1.16  % (17611)------------------------------
% 5.41/1.16  % (17611)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.41/1.16  % (17611)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.41/1.16  % (17611)Termination reason: Time limit
% 5.41/1.16  % (17611)Termination phase: Saturation
% 5.41/1.16  
% 5.41/1.16  % (17611)Memory used [KB]: 2730
% 5.41/1.16  % (17611)Time elapsed: 0.119 s
% 5.41/1.16  % (17611)Instructions burned: 285 (million)
% 5.41/1.16  % (17602)First to succeed.
% 5.41/1.16  % (17602)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17585"
% 5.41/1.16  % (17585)Running in auto input_syntax mode. Trying TPTP
% 5.41/1.16  % (17602)Refutation found. Thanks to Tanya!
% 5.41/1.16  % SZS status Theorem for theBenchmark
% 5.41/1.16  % SZS output start Proof for theBenchmark
% See solution above
% 5.41/1.16  % (17602)------------------------------
% 5.41/1.16  % (17602)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.41/1.16  % (17602)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.41/1.16  % (17602)Termination reason: Refutation
% 5.41/1.16  
% 5.41/1.16  % (17602)Memory used [KB]: 6571
% 5.41/1.16  % (17602)Time elapsed: 0.450 s
% 5.41/1.16  % (17602)Instructions burned: 1048 (million)
% 5.41/1.16  % (17602)------------------------------
% 5.41/1.16  % (17602)------------------------------
% 5.41/1.16  % (17585)Success in time 0.792 s
%------------------------------------------------------------------------------