TSTP Solution File: COM016+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COM016+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n014.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 : Sun May  5 04:47:41 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   70 (   7 unt;   0 def)
%            Number of atoms       :  345 (   8 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  517 ( 242   ~; 220   |;  44   &)
%                                         (   8 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-3 aty)
%            Number of variables   :   97 (  87   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f257,plain,
    $false,
    inference(resolution,[],[f255,f99]) ).

fof(f99,plain,
    aElement0(xa),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ( aElement0(xc)
    & aElement0(xb)
    & aElement0(xa) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).

fof(f255,plain,
    ~ aElement0(xa),
    inference(resolution,[],[f254,f100]) ).

fof(f100,plain,
    aElement0(xb),
    inference(cnf_transformation,[],[f17]) ).

fof(f254,plain,
    ( ~ aElement0(xb)
    | ~ aElement0(xa) ),
    inference(resolution,[],[f253,f96]) ).

fof(f96,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).

fof(f253,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xb)
    | ~ aElement0(xa) ),
    inference(duplicate_literal_removal,[],[f248]) ).

fof(f248,plain,
    ( ~ aElement0(xa)
    | ~ aElement0(xb)
    | ~ aElement0(xb)
    | ~ aRewritingSystem0(xR) ),
    inference(resolution,[],[f247,f159]) ).

fof(f159,plain,
    ! [X2,X1] :
      ( sdtmndtasgtdt0(X2,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X2,X1] :
      ( sdtmndtasgtdt0(X2,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2) ),
    inference(equality_resolution,[],[f154]) ).

fof(f154,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,X2)
      | X0 != X2
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1,X2] :
      ( ( ( sdtmndtasgtdt0(X0,X1,X2)
          | ( ~ sdtmndtplgtdt0(X0,X1,X2)
            & X0 != X2 ) )
        & ( sdtmndtplgtdt0(X0,X1,X2)
          | X0 = X2
          | ~ sdtmndtasgtdt0(X0,X1,X2) ) )
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( ( ( sdtmndtasgtdt0(X0,X1,X2)
          | ( ~ sdtmndtplgtdt0(X0,X1,X2)
            & X0 != X2 ) )
        & ( sdtmndtplgtdt0(X0,X1,X2)
          | X0 = X2
          | ~ sdtmndtasgtdt0(X0,X1,X2) ) )
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( ( sdtmndtasgtdt0(X0,X1,X2)
      <=> ( sdtmndtplgtdt0(X0,X1,X2)
          | X0 = X2 ) )
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( ( sdtmndtasgtdt0(X0,X1,X2)
      <=> ( sdtmndtplgtdt0(X0,X1,X2)
          | X0 = X2 ) )
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( ( aElement0(X2)
        & aRewritingSystem0(X1)
        & aElement0(X0) )
     => ( sdtmndtasgtdt0(X0,X1,X2)
      <=> ( sdtmndtplgtdt0(X0,X1,X2)
          | X0 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).

fof(f247,plain,
    ( ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ aElement0(xa)
    | ~ aElement0(xb) ),
    inference(resolution,[],[f241,f96]) ).

fof(f241,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xb)
    | ~ aElement0(xa)
    | ~ sdtmndtasgtdt0(xb,xR,xb) ),
    inference(resolution,[],[f240,f102]) ).

fof(f102,plain,
    sdtmndtplgtdt0(xa,xR,xb),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,axiom,
    ( sdtmndtplgtdt0(xa,xR,xc)
    & sdtmndtplgtdt0(xa,xR,xb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731_02) ).

fof(f240,plain,
    ( ~ sdtmndtplgtdt0(xa,xR,xb)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ aElement0(xb)
    | ~ aElement0(xa)
    | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f239]) ).

fof(f239,plain,
    ( ~ aElement0(xb)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ sdtmndtplgtdt0(xa,xR,xb)
    | ~ aElement0(xa)
    | ~ aElement0(xb)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xa) ),
    inference(resolution,[],[f230,f152]) ).

fof(f152,plain,
    ! [X2,X0,X1] :
      ( sP7(X0,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( sP7(X0,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(definition_folding,[],[f42,f59,f58]) ).

fof(f58,plain,
    ! [X2,X1,X0] :
      ( sP6(X2,X1,X0)
    <=> ( ? [X3] :
            ( sdtmndtplgtdt0(X3,X1,X2)
            & aReductOfIn0(X3,X0,X1)
            & aElement0(X3) )
        | aReductOfIn0(X2,X0,X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( ( sdtmndtplgtdt0(X0,X1,X2)
      <=> sP6(X2,X1,X0) )
      | ~ sP7(X0,X1,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( ( sdtmndtplgtdt0(X0,X1,X2)
      <=> ( ? [X3] :
              ( sdtmndtplgtdt0(X3,X1,X2)
              & aReductOfIn0(X3,X0,X1)
              & aElement0(X3) )
          | aReductOfIn0(X2,X0,X1) ) )
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( ( sdtmndtplgtdt0(X0,X1,X2)
      <=> ( ? [X3] :
              ( sdtmndtplgtdt0(X3,X1,X2)
              & aReductOfIn0(X3,X0,X1)
              & aElement0(X3) )
          | aReductOfIn0(X2,X0,X1) ) )
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( ( aElement0(X2)
        & aRewritingSystem0(X1)
        & aElement0(X0) )
     => ( sdtmndtplgtdt0(X0,X1,X2)
      <=> ( ? [X3] :
              ( sdtmndtplgtdt0(X3,X1,X2)
              & aReductOfIn0(X3,X0,X1)
              & aElement0(X3) )
          | aReductOfIn0(X2,X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).

fof(f230,plain,
    ( ~ sP7(xa,xR,xb)
    | ~ aElement0(xb)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ sdtmndtplgtdt0(xa,xR,xb)
    | ~ aElement0(xa) ),
    inference(resolution,[],[f228,f145]) ).

fof(f145,plain,
    ! [X2,X0,X1] :
      ( sP6(X2,X1,X0)
      | ~ sdtmndtplgtdt0(X0,X1,X2)
      | ~ sP7(X0,X1,X2) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( ( ( sdtmndtplgtdt0(X0,X1,X2)
          | ~ sP6(X2,X1,X0) )
        & ( sP6(X2,X1,X0)
          | ~ sdtmndtplgtdt0(X0,X1,X2) ) )
      | ~ sP7(X0,X1,X2) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f228,plain,
    ( ~ sP6(xb,xR,xa)
    | ~ aElement0(xa)
    | ~ aElement0(xb)
    | ~ sdtmndtasgtdt0(xb,xR,xb) ),
    inference(duplicate_literal_removal,[],[f227]) ).

fof(f227,plain,
    ( ~ aElement0(xb)
    | ~ aElement0(xa)
    | ~ sP6(xb,xR,xa)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ aElement0(xb) ),
    inference(resolution,[],[f225,f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ aReductOfIn0(X0,xa,xR)
      | ~ sdtmndtasgtdt0(X0,xR,xb)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(X0,xR,xb)
      | ~ aReductOfIn0(X0,xa,xR)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,negated_conjecture,
    ~ ? [X0] :
        ( sdtmndtasgtdt0(X0,xR,xb)
        & aReductOfIn0(X0,xa,xR)
        & aElement0(X0) ),
    inference(negated_conjecture,[],[f20]) ).

fof(f20,conjecture,
    ? [X0] :
      ( sdtmndtasgtdt0(X0,xR,xb)
      & aReductOfIn0(X0,xa,xR)
      & aElement0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f225,plain,
    ( aReductOfIn0(xb,xa,xR)
    | ~ aElement0(xb)
    | ~ aElement0(xa)
    | ~ sP6(xb,xR,xa) ),
    inference(resolution,[],[f224,f147]) ).

fof(f147,plain,
    ! [X2,X0,X1] :
      ( aElement0(sK21(X0,X1,X2))
      | aReductOfIn0(X0,X2,X1)
      | ~ sP6(X0,X1,X2) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( ( sP6(X0,X1,X2)
        | ( ! [X3] :
              ( ~ sdtmndtplgtdt0(X3,X1,X0)
              | ~ aReductOfIn0(X3,X2,X1)
              | ~ aElement0(X3) )
          & ~ aReductOfIn0(X0,X2,X1) ) )
      & ( ( sdtmndtplgtdt0(sK21(X0,X1,X2),X1,X0)
          & aReductOfIn0(sK21(X0,X1,X2),X2,X1)
          & aElement0(sK21(X0,X1,X2)) )
        | aReductOfIn0(X0,X2,X1)
        | ~ sP6(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f90,f91]) ).

fof(f91,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( sdtmndtplgtdt0(X4,X1,X0)
          & aReductOfIn0(X4,X2,X1)
          & aElement0(X4) )
     => ( sdtmndtplgtdt0(sK21(X0,X1,X2),X1,X0)
        & aReductOfIn0(sK21(X0,X1,X2),X2,X1)
        & aElement0(sK21(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( ( sP6(X0,X1,X2)
        | ( ! [X3] :
              ( ~ sdtmndtplgtdt0(X3,X1,X0)
              | ~ aReductOfIn0(X3,X2,X1)
              | ~ aElement0(X3) )
          & ~ aReductOfIn0(X0,X2,X1) ) )
      & ( ? [X4] :
            ( sdtmndtplgtdt0(X4,X1,X0)
            & aReductOfIn0(X4,X2,X1)
            & aElement0(X4) )
        | aReductOfIn0(X0,X2,X1)
        | ~ sP6(X0,X1,X2) ) ),
    inference(rectify,[],[f89]) ).

fof(f89,plain,
    ! [X2,X1,X0] :
      ( ( sP6(X2,X1,X0)
        | ( ! [X3] :
              ( ~ sdtmndtplgtdt0(X3,X1,X2)
              | ~ aReductOfIn0(X3,X0,X1)
              | ~ aElement0(X3) )
          & ~ aReductOfIn0(X2,X0,X1) ) )
      & ( ? [X3] :
            ( sdtmndtplgtdt0(X3,X1,X2)
            & aReductOfIn0(X3,X0,X1)
            & aElement0(X3) )
        | aReductOfIn0(X2,X0,X1)
        | ~ sP6(X2,X1,X0) ) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ! [X2,X1,X0] :
      ( ( sP6(X2,X1,X0)
        | ( ! [X3] :
              ( ~ sdtmndtplgtdt0(X3,X1,X2)
              | ~ aReductOfIn0(X3,X0,X1)
              | ~ aElement0(X3) )
          & ~ aReductOfIn0(X2,X0,X1) ) )
      & ( ? [X3] :
            ( sdtmndtplgtdt0(X3,X1,X2)
            & aReductOfIn0(X3,X0,X1)
            & aElement0(X3) )
        | aReductOfIn0(X2,X0,X1)
        | ~ sP6(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f224,plain,
    ( ~ aElement0(sK21(xb,xR,xa))
    | ~ aElement0(xa)
    | ~ aElement0(xb) ),
    inference(resolution,[],[f223,f96]) ).

fof(f223,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(sK21(xb,xR,xa))
    | ~ aElement0(xa)
    | ~ aElement0(xb) ),
    inference(duplicate_literal_removal,[],[f218]) ).

fof(f218,plain,
    ( ~ aElement0(xb)
    | ~ aElement0(sK21(xb,xR,xa))
    | ~ aElement0(xa)
    | ~ aElement0(xb)
    | ~ aRewritingSystem0(xR) ),
    inference(resolution,[],[f217,f159]) ).

fof(f217,plain,
    ( ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ aElement0(xb)
    | ~ aElement0(sK21(xb,xR,xa))
    | ~ aElement0(xa) ),
    inference(resolution,[],[f213,f96]) ).

fof(f213,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xb)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ aElement0(sK21(xb,xR,xa))
    | ~ aElement0(xa) ),
    inference(resolution,[],[f212,f102]) ).

fof(f212,plain,
    ( ~ sdtmndtplgtdt0(xa,xR,xb)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xb)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ aElement0(sK21(xb,xR,xa))
    | ~ aElement0(xa) ),
    inference(duplicate_literal_removal,[],[f211]) ).

fof(f211,plain,
    ( ~ aElement0(sK21(xb,xR,xa))
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xb)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ sdtmndtplgtdt0(xa,xR,xb)
    | ~ aElement0(xa)
    | ~ aElement0(xb)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xa) ),
    inference(resolution,[],[f207,f152]) ).

fof(f207,plain,
    ( ~ sP7(xa,xR,xb)
    | ~ aElement0(sK21(xb,xR,xa))
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xb)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ sdtmndtplgtdt0(xa,xR,xb)
    | ~ aElement0(xa) ),
    inference(resolution,[],[f205,f145]) ).

fof(f205,plain,
    ( ~ sP6(xb,xR,xa)
    | ~ aElement0(xa)
    | ~ aElement0(sK21(xb,xR,xa))
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xb)
    | ~ sdtmndtasgtdt0(xb,xR,xb) ),
    inference(duplicate_literal_removal,[],[f204]) ).

fof(f204,plain,
    ( ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ aElement0(xa)
    | ~ aElement0(sK21(xb,xR,xa))
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xb)
    | ~ sP6(xb,xR,xa)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ aElement0(xb) ),
    inference(resolution,[],[f200,f95]) ).

fof(f200,plain,
    ( aReductOfIn0(xb,xa,xR)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ aElement0(xa)
    | ~ aElement0(sK21(xb,xR,xa))
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(xb)
    | ~ sP6(xb,xR,xa) ),
    inference(resolution,[],[f194,f149]) ).

fof(f149,plain,
    ! [X2,X0,X1] :
      ( sdtmndtplgtdt0(sK21(X0,X1,X2),X1,X0)
      | aReductOfIn0(X0,X2,X1)
      | ~ sP6(X0,X1,X2) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f194,plain,
    ( ~ sdtmndtplgtdt0(sK21(xb,xR,xa),xR,xb)
    | ~ aElement0(xb)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ aElement0(xa)
    | ~ aElement0(sK21(xb,xR,xa))
    | ~ aRewritingSystem0(xR) ),
    inference(duplicate_literal_removal,[],[f191]) ).

fof(f191,plain,
    ( ~ aElement0(sK21(xb,xR,xa))
    | ~ aElement0(xb)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ aElement0(xa)
    | ~ sdtmndtplgtdt0(sK21(xb,xR,xa),xR,xb)
    | ~ aElement0(xb)
    | ~ aRewritingSystem0(xR)
    | ~ aElement0(sK21(xb,xR,xa)) ),
    inference(resolution,[],[f188,f155]) ).

fof(f155,plain,
    ! [X2,X0,X1] :
      ( sdtmndtasgtdt0(X0,X1,X2)
      | ~ sdtmndtplgtdt0(X0,X1,X2)
      | ~ aElement0(X2)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f188,plain,
    ( ~ sdtmndtasgtdt0(sK21(xb,xR,xa),xR,xb)
    | ~ aElement0(sK21(xb,xR,xa))
    | ~ aElement0(xb)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ aElement0(xa) ),
    inference(resolution,[],[f185,f96]) ).

fof(f185,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xb)
    | ~ aElement0(sK21(xb,xR,xa))
    | ~ sdtmndtasgtdt0(sK21(xb,xR,xa),xR,xb)
    | ~ sdtmndtasgtdt0(xb,xR,xb)
    | ~ aElement0(xa) ),
    inference(resolution,[],[f184,f102]) ).

fof(f184,plain,
    ! [X0] :
      ( ~ sdtmndtplgtdt0(xa,xR,X0)
      | ~ sdtmndtasgtdt0(X0,xR,xb)
      | ~ aElement0(X0)
      | ~ aElement0(sK21(X0,xR,xa))
      | ~ sdtmndtasgtdt0(sK21(X0,xR,xa),xR,xb)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(xa) ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ! [X0] :
      ( ~ aElement0(sK21(X0,xR,xa))
      | ~ sdtmndtasgtdt0(X0,xR,xb)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(xa,xR,X0)
      | ~ sdtmndtasgtdt0(sK21(X0,xR,xa),xR,xb)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(xR)
      | ~ aElement0(xa) ),
    inference(resolution,[],[f175,f152]) ).

fof(f175,plain,
    ! [X0] :
      ( ~ sP7(xa,xR,X0)
      | ~ aElement0(sK21(X0,xR,xa))
      | ~ sdtmndtasgtdt0(X0,xR,xb)
      | ~ aElement0(X0)
      | ~ sdtmndtplgtdt0(xa,xR,X0)
      | ~ sdtmndtasgtdt0(sK21(X0,xR,xa),xR,xb) ),
    inference(resolution,[],[f173,f145]) ).

fof(f173,plain,
    ! [X0] :
      ( ~ sP6(X0,xR,xa)
      | ~ sdtmndtasgtdt0(sK21(X0,xR,xa),xR,xb)
      | ~ aElement0(sK21(X0,xR,xa))
      | ~ sdtmndtasgtdt0(X0,xR,xb)
      | ~ aElement0(X0) ),
    inference(resolution,[],[f171,f95]) ).

fof(f171,plain,
    ! [X0] :
      ( aReductOfIn0(X0,xa,xR)
      | ~ sP6(X0,xR,xa)
      | ~ sdtmndtasgtdt0(sK21(X0,xR,xa),xR,xb)
      | ~ aElement0(sK21(X0,xR,xa)) ),
    inference(resolution,[],[f148,f95]) ).

fof(f148,plain,
    ! [X2,X0,X1] :
      ( aReductOfIn0(sK21(X0,X1,X2),X2,X1)
      | aReductOfIn0(X0,X2,X1)
      | ~ sP6(X0,X1,X2) ),
    inference(cnf_transformation,[],[f92]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : COM016+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 21:26:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (14634)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36  % (14635)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [3]
% 0.15/0.37  % (14637)WARNING: value z3 for option sas not known
% 0.15/0.37  % (14638)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37  % (14637)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (14639)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.37  % (14640)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.37  % (14636)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37  % (14641)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.37  TRYING [4]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  % (14640)First to succeed.
% 0.15/0.38  TRYING [5]
% 0.15/0.38  % (14640)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14634"
% 0.15/0.38  % (14637)Also succeeded, but the first one will report.
% 0.15/0.38  % (14640)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Theorem for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (14640)------------------------------
% 0.15/0.38  % (14640)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (14640)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (14640)Memory used [KB]: 947
% 0.15/0.38  % (14640)Time elapsed: 0.011 s
% 0.15/0.38  % (14640)Instructions burned: 15 (million)
% 0.15/0.38  % (14634)Success in time 0.028 s
%------------------------------------------------------------------------------