TSTP Solution File: NUN066+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUN066+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n013.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 : Thu Aug 31 12:52:32 EDT 2023

% Result   : Theorem 0.23s 0.52s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  105 (  13 unt;   0 def)
%            Number of atoms       :  296 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  335 ( 144   ~; 114   |;  69   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-1 aty)
%            Number of variables   :  205 (; 169   !;  36   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2639,plain,
    $false,
    inference(subsumption_resolution,[],[f2638,f380]) ).

fof(f380,plain,
    ! [X0] : ~ r1(sK24(X0)),
    inference(forward_literal_rewriting,[],[f372,f232]) ).

fof(f232,plain,
    ! [X1] :
      ( r1(sK19(X1))
      | ~ r1(X1) ),
    inference(resolution,[],[f227,f136]) ).

fof(f136,plain,
    ! [X0] : id(sK19(X0),X0),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( r3(X0,sK20(X0),sK19(X0))
      & r1(sK20(X0))
      & id(sK19(X0),X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f24,f83,f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( r3(X0,X2,X1)
              & r1(X2) )
          & id(X1,X0) )
     => ( ? [X2] :
            ( r3(X0,X2,sK19(X0))
            & r1(X2) )
        & id(sK19(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f83,plain,
    ! [X0] :
      ( ? [X2] :
          ( r3(X0,X2,sK19(X0))
          & r1(X2) )
     => ( r3(X0,sK20(X0),sK19(X0))
        & r1(sK20(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
          ( r3(X0,X2,X1)
          & r1(X2) )
      & id(X1,X0) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X53] :
    ? [X54] :
      ( ? [X55] :
          ( r3(X53,X55,X54)
          & r1(X55) )
      & id(X54,X53) ),
    file('/export/starexec/sandbox/tmp/tmp.l8ZKnPt2TK/Vampire---4.8_20815',axiom_4a) ).

fof(f227,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | r1(X0)
      | ~ r1(X1) ),
    inference(resolution,[],[f150,f149]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ~ sP5(X0,X1)
      | ~ r1(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ( ~ r1(X0)
        & ~ r1(X1) )
      | ~ sP5(X0,X1) ),
    inference(rectify,[],[f93]) ).

fof(f93,plain,
    ! [X1,X0] :
      ( ( ~ r1(X1)
        & ~ r1(X0) )
      | ~ sP5(X1,X0) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X1,X0] :
      ( ( ~ r1(X1)
        & ~ r1(X0) )
      | ~ sP5(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( sP5(X1,X0)
      | r1(X0)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ( r1(X1)
        & r1(X0) )
      | sP5(X1,X0)
      | ~ id(X0,X1) ),
    inference(definition_folding,[],[f28,f48]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( r1(X1)
        & r1(X0) )
      | ( ~ r1(X1)
        & ~ r1(X0) )
      | ~ id(X0,X1) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X19,X20] :
      ( ( r1(X20)
        & r1(X19) )
      | ( ~ r1(X20)
        & ~ r1(X19) )
      | ~ id(X19,X20) ),
    file('/export/starexec/sandbox/tmp/tmp.l8ZKnPt2TK/Vampire---4.8_20815',axiom_8) ).

fof(f372,plain,
    ! [X0] : ~ r1(sK19(sK24(X0))),
    inference(resolution,[],[f370,f366]) ).

fof(f366,plain,
    ! [X3] : r2(X3,sK19(sK24(X3))),
    inference(resolution,[],[f362,f136]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( ~ id(X0,sK24(X1))
      | r2(X1,X0) ),
    inference(resolution,[],[f146,f144]) ).

fof(f144,plain,
    ! [X2,X0,X1] :
      ( ~ sP4(X0,X1,X2)
      | r2(X1,X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( ( r2(X1,X0)
        & id(X0,X2) )
      | ~ sP4(X0,X1,X2) ),
    inference(rectify,[],[f89]) ).

fof(f89,plain,
    ! [X2,X0,X1] :
      ( ( r2(X0,X2)
        & id(X2,X1) )
      | ~ sP4(X2,X0,X1) ),
    inference(nnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( ( r2(X0,X2)
        & id(X2,X1) )
      | ~ sP4(X2,X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f146,plain,
    ! [X2,X0] :
      ( sP4(X2,X0,sK24(X0))
      | ~ id(X2,sK24(X0)) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X2] :
      ( ( ~ id(X2,sK24(X0))
        & ~ r2(X0,X2) )
      | sP4(X2,X0,sK24(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f47,f91]) ).

fof(f91,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ( ~ id(X2,X1)
            & ~ r2(X0,X2) )
          | sP4(X2,X0,X1) )
     => ! [X2] :
          ( ( ~ id(X2,sK24(X0))
            & ~ r2(X0,X2) )
          | sP4(X2,X0,sK24(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f47,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( ~ id(X2,X1)
        & ~ r2(X0,X2) )
      | sP4(X2,X0,X1) ),
    inference(definition_folding,[],[f26,f46]) ).

fof(f26,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( ~ id(X2,X1)
        & ~ r2(X0,X2) )
      | ( r2(X0,X2)
        & id(X2,X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2] :
    ? [X3] :
    ! [X4] :
      ( ( ~ id(X4,X3)
        & ~ r2(X2,X4) )
      | ( r2(X2,X4)
        & id(X4,X3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.l8ZKnPt2TK/Vampire---4.8_20815',axiom_2) ).

fof(f370,plain,
    ! [X0,X1] :
      ( ~ r2(X1,X0)
      | ~ r1(X0) ),
    inference(forward_literal_rewriting,[],[f369,f225]) ).

fof(f225,plain,
    ! [X2,X3] :
      ( id(X3,sK24(X2))
      | ~ r2(X2,X3) ),
    inference(resolution,[],[f145,f143]) ).

fof(f143,plain,
    ! [X2,X0,X1] :
      ( ~ sP4(X0,X1,X2)
      | id(X0,X2) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f145,plain,
    ! [X2,X0] :
      ( sP4(X2,X0,sK24(X0))
      | ~ r2(X0,X2) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f369,plain,
    ! [X0,X1] :
      ( ~ r1(X0)
      | ~ id(X0,sK24(X1)) ),
    inference(resolution,[],[f365,f152]) ).

fof(f152,plain,
    ! [X2,X0,X1] :
      ( ~ r2(X0,X1)
      | ~ r1(X2)
      | ~ id(X2,X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ r2(X0,X1)
      | ! [X2] :
          ( ~ r1(X2)
          | ~ id(X2,X1) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X64,X65] :
      ( ~ r2(X64,X65)
      | ! [X66] :
          ( ~ r1(X66)
          | ~ id(X66,X65) ) ),
    file('/export/starexec/sandbox/tmp/tmp.l8ZKnPt2TK/Vampire---4.8_20815',axiom_7a) ).

fof(f365,plain,
    ! [X2] : r2(X2,sK24(X2)),
    inference(resolution,[],[f362,f131]) ).

fof(f131,plain,
    ! [X0] : id(X0,X0),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] : id(X0,X0),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X13] : id(X13,X13),
    file('/export/starexec/sandbox/tmp/tmp.l8ZKnPt2TK/Vampire---4.8_20815',axiom_5) ).

fof(f2638,plain,
    r1(sK24(sK35)),
    inference(forward_literal_rewriting,[],[f2637,f243]) ).

fof(f243,plain,
    ! [X7] :
      ( sP2(X7)
      | r1(X7) ),
    inference(subsumption_resolution,[],[f236,f130]) ).

fof(f130,plain,
    ! [X0] :
      ( r1(sK15(X0))
      | sP2(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ( r1(sK15(X0))
        & id(X0,sK15(X0)) )
      | sP2(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f43,f74]) ).

fof(f74,plain,
    ! [X0] :
      ( ? [X1] :
          ( r1(X1)
          & id(X0,X1) )
     => ( r1(sK15(X0))
        & id(X0,sK15(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ! [X0] :
      ( ? [X1] :
          ( r1(X1)
          & id(X0,X1) )
      | sP2(X0) ),
    inference(definition_folding,[],[f39,f42,f41,f40]) ).

fof(f40,plain,
    ! [X3] :
      ( ? [X4] :
          ( r2(X4,X3)
          & r1(X4) )
      | ~ sP0(X3) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f41,plain,
    ! [X2] :
      ( ? [X3] :
          ( r2(X3,X2)
          & sP0(X3) )
      | ~ sP1(X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f42,plain,
    ! [X0] :
      ( ? [X2] :
          ( id(X0,X2)
          & sP1(X2) )
      | ~ sP2(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f39,plain,
    ! [X0] :
      ( ? [X1] :
          ( r1(X1)
          & id(X0,X1) )
      | ? [X2] :
          ( id(X0,X2)
          & ? [X3] :
              ( r2(X3,X2)
              & ? [X4] :
                  ( r2(X4,X3)
                  & r1(X4) ) ) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ~ ? [X0] :
        ( ! [X1] :
            ( ~ r1(X1)
            | ~ id(X0,X1) )
        & ! [X2] :
            ( ~ id(X0,X2)
            | ! [X3] :
                ( ~ r2(X3,X2)
                | ! [X4] :
                    ( ~ r2(X4,X3)
                    | ~ r1(X4) ) ) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ ? [X62] :
        ( ! [X40] :
            ( ~ r1(X40)
            | ~ id(X62,X40) )
        & ! [X45] :
            ( ~ id(X62,X45)
            | ! [X46] :
                ( ~ r2(X46,X45)
                | ! [X39] :
                    ( ~ r2(X39,X46)
                    | ~ r1(X39) ) ) ) ),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    ? [X62] :
      ( ! [X40] :
          ( ~ r1(X40)
          | ~ id(X62,X40) )
      & ! [X45] :
          ( ~ id(X62,X45)
          | ! [X46] :
              ( ~ r2(X46,X45)
              | ! [X39] :
                  ( ~ r2(X39,X46)
                  | ~ r1(X39) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.l8ZKnPt2TK/Vampire---4.8_20815',nonzerononetwoexistid) ).

fof(f236,plain,
    ! [X7] :
      ( r1(X7)
      | ~ r1(sK15(X7))
      | sP2(X7) ),
    inference(resolution,[],[f227,f129]) ).

fof(f129,plain,
    ! [X0] :
      ( id(X0,sK15(X0))
      | sP2(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f2637,plain,
    ~ sP2(sK24(sK35)),
    inference(resolution,[],[f2636,f123]) ).

fof(f123,plain,
    ! [X0] :
      ( sP1(sK12(X0))
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ( id(X0,sK12(X0))
        & sP1(sK12(X0)) )
      | ~ sP2(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f63,f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ? [X1] :
          ( id(X0,X1)
          & sP1(X1) )
     => ( id(X0,sK12(X0))
        & sP1(sK12(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f63,plain,
    ! [X0] :
      ( ? [X1] :
          ( id(X0,X1)
          & sP1(X1) )
      | ~ sP2(X0) ),
    inference(rectify,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( ? [X2] :
          ( id(X0,X2)
          & sP1(X2) )
      | ~ sP2(X0) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f2636,plain,
    ~ sP1(sK12(sK24(sK35))),
    inference(subsumption_resolution,[],[f2634,f344]) ).

fof(f344,plain,
    ! [X0] :
      ( ~ r1(sK13(X0))
      | ~ sP1(X0) ),
    inference(resolution,[],[f326,f125]) ).

fof(f125,plain,
    ! [X0] :
      ( sP0(sK13(X0))
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ( r2(sK13(X0),X0)
        & sP0(sK13(X0)) )
      | ~ sP1(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f67,f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ? [X1] :
          ( r2(X1,X0)
          & sP0(X1) )
     => ( r2(sK13(X0),X0)
        & sP0(sK13(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f67,plain,
    ! [X0] :
      ( ? [X1] :
          ( r2(X1,X0)
          & sP0(X1) )
      | ~ sP1(X0) ),
    inference(rectify,[],[f66]) ).

fof(f66,plain,
    ! [X2] :
      ( ? [X3] :
          ( r2(X3,X2)
          & sP0(X3) )
      | ~ sP1(X2) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f326,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | ~ r1(X0) ),
    inference(resolution,[],[f253,f131]) ).

fof(f253,plain,
    ! [X8,X9] :
      ( ~ id(X8,X9)
      | ~ r1(X8)
      | ~ sP0(X9) ),
    inference(resolution,[],[f152,f128]) ).

fof(f128,plain,
    ! [X0] :
      ( r2(sK14(X0),X0)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ( r2(sK14(X0),X0)
        & r1(sK14(X0)) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f71,f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ? [X1] :
          ( r2(X1,X0)
          & r1(X1) )
     => ( r2(sK14(X0),X0)
        & r1(sK14(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f71,plain,
    ! [X0] :
      ( ? [X1] :
          ( r2(X1,X0)
          & r1(X1) )
      | ~ sP0(X0) ),
    inference(rectify,[],[f70]) ).

fof(f70,plain,
    ! [X3] :
      ( ? [X4] :
          ( r2(X4,X3)
          & r1(X4) )
      | ~ sP0(X3) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f2634,plain,
    ( r1(sK13(sK12(sK24(sK35))))
    | ~ sP1(sK12(sK24(sK35))) ),
    inference(resolution,[],[f2607,f126]) ).

fof(f126,plain,
    ! [X0] :
      ( r2(sK13(X0),X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f2607,plain,
    ! [X11] :
      ( ~ r2(X11,sK12(sK24(sK35)))
      | r1(X11) ),
    inference(resolution,[],[f1948,f570]) ).

fof(f570,plain,
    ! [X8] : r2(X8,sK12(sK24(X8))),
    inference(subsumption_resolution,[],[f569,f380]) ).

fof(f569,plain,
    ! [X8] :
      ( r1(sK24(X8))
      | r2(X8,sK12(sK24(X8))) ),
    inference(forward_literal_rewriting,[],[f564,f243]) ).

fof(f564,plain,
    ! [X8] :
      ( r2(X8,sK12(sK24(X8)))
      | ~ sP2(sK24(X8)) ),
    inference(resolution,[],[f368,f124]) ).

fof(f124,plain,
    ! [X0] :
      ( id(X0,sK12(X0))
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f368,plain,
    ! [X6,X7] :
      ( ~ id(sK24(X6),X7)
      | r2(X6,X7) ),
    inference(resolution,[],[f362,f147]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( id(X1,X0)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( id(X1,X0)
      | ~ id(X0,X1) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X14,X15] :
      ( id(X15,X14)
      | ~ id(X14,X15) ),
    file('/export/starexec/sandbox/tmp/tmp.l8ZKnPt2TK/Vampire---4.8_20815',axiom_6) ).

fof(f1948,plain,
    ! [X21,X20] :
      ( ~ r2(sK35,X21)
      | ~ r2(X20,X21)
      | r1(X20) ),
    inference(forward_literal_rewriting,[],[f1943,f225]) ).

fof(f1943,plain,
    ! [X21,X20] :
      ( ~ r2(X20,X21)
      | ~ id(X21,sK24(sK35))
      | r1(X20) ),
    inference(resolution,[],[f626,f365]) ).

fof(f626,plain,
    ! [X54,X55,X53] :
      ( ~ r2(sK35,X53)
      | ~ r2(X54,X55)
      | ~ id(X55,X53)
      | r1(X54) ),
    inference(resolution,[],[f153,f192]) ).

fof(f192,plain,
    ! [X0] :
      ( ~ id(X0,sK35)
      | r1(X0) ),
    inference(resolution,[],[f188,f186]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ~ sP11(X0,X1)
      | r1(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ( r1(X0)
        & id(X0,X1) )
      | ~ sP11(X0,X1) ),
    inference(rectify,[],[f119]) ).

fof(f119,plain,
    ! [X1,X0] :
      ( ( r1(X1)
        & id(X1,X0) )
      | ~ sP11(X1,X0) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X1,X0] :
      ( ( r1(X1)
        & id(X1,X0) )
      | ~ sP11(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f188,plain,
    ! [X1] :
      ( sP11(X1,sK35)
      | ~ id(X1,sK35) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X1] :
      ( ( ~ id(X1,sK35)
        & ~ r1(X1) )
      | sP11(X1,sK35) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f61,f121]) ).

fof(f121,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( ~ id(X1,X0)
          & ~ r1(X1) )
        | sP11(X1,X0) )
   => ! [X1] :
        ( ( ~ id(X1,sK35)
          & ~ r1(X1) )
        | sP11(X1,sK35) ) ),
    introduced(choice_axiom,[]) ).

fof(f61,plain,
    ? [X0] :
    ! [X1] :
      ( ( ~ id(X1,X0)
        & ~ r1(X1) )
      | sP11(X1,X0) ),
    inference(definition_folding,[],[f1,f60]) ).

fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( ~ id(X1,X0)
        & ~ r1(X1) )
      | ( r1(X1)
        & id(X1,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.l8ZKnPt2TK/Vampire---4.8_20815',axiom_1) ).

fof(f153,plain,
    ! [X2,X3,X0,X1] :
      ( id(X0,X1)
      | ~ r2(X1,X2)
      | ~ r2(X0,X3)
      | ~ id(X3,X2) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( id(X0,X1)
      | ! [X2] :
          ( ~ r2(X1,X2)
          | ! [X3] :
              ( ~ r2(X0,X3)
              | ~ id(X3,X2) ) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X49,X50] :
      ( id(X49,X50)
      | ! [X51] :
          ( ~ r2(X50,X51)
          | ! [X52] :
              ( ~ r2(X49,X52)
              | ~ id(X52,X51) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.l8ZKnPt2TK/Vampire---4.8_20815',axiom_3a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUN066+1 : TPTP v8.1.2. Released v7.3.0.
% 0.14/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Sun Aug 27 09:28:17 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.16/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.l8ZKnPt2TK/Vampire---4.8_20815
% 0.16/0.37  % (20938)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43  % (20941)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.23/0.43  % (20943)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43  % (20940)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.23/0.43  % (20944)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.23/0.43  % (20942)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.23/0.43  % (20939)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.23/0.43  % (20945)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.23/0.51  % (20943)First to succeed.
% 0.23/0.52  % (20943)Refutation found. Thanks to Tanya!
% 0.23/0.52  % SZS status Theorem for Vampire---4
% 0.23/0.52  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.52  % (20943)------------------------------
% 0.23/0.52  % (20943)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.52  % (20943)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.52  % (20943)Termination reason: Refutation
% 0.23/0.52  
% 0.23/0.52  % (20943)Memory used [KB]: 6652
% 0.23/0.52  % (20943)Time elapsed: 0.085 s
% 0.23/0.52  % (20943)------------------------------
% 0.23/0.52  % (20943)------------------------------
% 0.23/0.52  % (20938)Success in time 0.144 s
% 0.23/0.52  % Vampire---4.8 exiting
%------------------------------------------------------------------------------