TSTP Solution File: NUN075+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUN075+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.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 08:45:05 EDT 2024

% Result   : Theorem 1.32s 0.55s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  163 (  55 unt;   0 def)
%            Number of atoms       :  694 (  65 equ)
%            Maximal formula atoms :   23 (   4 avg)
%            Number of connectives :  982 ( 451   ~; 367   |; 137   &)
%                                         (  18 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   46 (   8 avg)
%            Maximal term depth    :   10 (   1 avg)
%            Number of predicates  :   26 (  24 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   1 con; 0-2 aty)
%            Number of variables   :  612 ( 507   !; 105   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22879,plain,
    $false,
    inference(subsumption_resolution,[],[f22878,f19762]) ).

fof(f19762,plain,
    ~ sP42(sK13(sK13(sK13(sK13(sK13(sK13(sK13(sK13(sK13(sK24)))))))))),
    inference(unit_resulting_resolution,[],[f2092,f19756]) ).

fof(f19756,plain,
    ! [X0] :
      ( ~ sP42(sK13(sK13(X0)))
      | ~ sP34(X0) ),
    inference(subsumption_resolution,[],[f19745,f605]) ).

fof(f605,plain,
    sP27(sK13(sK13(sK24))),
    inference(unit_resulting_resolution,[],[f528,f547,f126]) ).

fof(f126,plain,
    ! [X10,X9] :
      ( ~ r2(X10,X9)
      | ~ sP26(X10)
      | sP27(X9) ),
    inference(cnf_transformation,[],[f126_D]) ).

fof(f126_D,plain,
    ! [X9] :
      ( ! [X10] :
          ( ~ r2(X10,X9)
          | ~ sP26(X10) )
    <=> ~ sP27(X9) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).

fof(f547,plain,
    sP26(sK13(sK24)),
    inference(unit_resulting_resolution,[],[f165,f528,f124]) ).

fof(f124,plain,
    ! [X10,X11] :
      ( ~ r2(X11,X10)
      | ~ r1(X11)
      | sP26(X10) ),
    inference(cnf_transformation,[],[f124_D]) ).

fof(f124_D,plain,
    ! [X10] :
      ( ! [X11] :
          ( ~ r2(X11,X10)
          | ~ r1(X11) )
    <=> ~ sP26(X10) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).

fof(f165,plain,
    r1(sK24),
    inference(unit_resulting_resolution,[],[f121,f113]) ).

fof(f113,plain,
    ! [X1] :
      ( sP4(X1,sK24)
      | r1(X1) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X1] :
      ( ( sK24 = X1
        & r1(X1) )
      | sP4(X1,sK24) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f35,f73]) ).

fof(f73,plain,
    ( ? [X0] :
      ! [X1] :
        ( ( X0 = X1
          & r1(X1) )
        | sP4(X1,X0) )
   => ! [X1] :
        ( ( sK24 = X1
          & r1(X1) )
        | sP4(X1,sK24) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ? [X0] :
    ! [X1] :
      ( ( X0 = X1
        & r1(X1) )
      | sP4(X1,X0) ),
    inference(definition_folding,[],[f1,f34]) ).

fof(f34,plain,
    ! [X1,X0] :
      ( ( X0 != X1
        & ~ r1(X1) )
      | ~ sP4(X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( X0 = X1
        & r1(X1) )
      | ( X0 != X1
        & ~ r1(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f121,plain,
    ! [X1] : ~ sP4(X1,X1),
    inference(equality_resolution,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ sP4(X0,X1) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ( X0 != X1
        & ~ r1(X0) )
      | ~ sP4(X0,X1) ),
    inference(rectify,[],[f71]) ).

fof(f71,plain,
    ! [X1,X0] :
      ( ( X0 != X1
        & ~ r1(X1) )
      | ~ sP4(X1,X0) ),
    inference(nnf_transformation,[],[f34]) ).

fof(f528,plain,
    ! [X0] : r2(X0,sK13(X0)),
    inference(unit_resulting_resolution,[],[f116,f89]) ).

fof(f89,plain,
    ! [X2,X0] :
      ( sP1(X2,sK13(X0),X0)
      | r2(X0,X2) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X2] :
      ( ( sK13(X0) = X2
        & r2(X0,X2) )
      | sP1(X2,sK13(X0),X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f29,f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ( X1 = X2
            & r2(X0,X2) )
          | sP1(X2,X1,X0) )
     => ! [X2] :
          ( ( sK13(X0) = X2
            & r2(X0,X2) )
          | sP1(X2,sK13(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( X1 = X2
        & r2(X0,X2) )
      | sP1(X2,X1,X0) ),
    inference(definition_folding,[],[f18,f28]) ).

fof(f28,plain,
    ! [X2,X1,X0] :
      ( ( X1 != X2
        & ~ r2(X0,X2) )
      | ~ sP1(X2,X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f18,plain,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( X1 = X2
        & r2(X0,X2) )
      | ( X1 != X2
        & ~ r2(X0,X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2] :
    ? [X3] :
    ! [X4] :
      ( ( X3 = X4
        & r2(X2,X4) )
      | ( X3 != X4
        & ~ r2(X2,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f116,plain,
    ! [X2,X1] : ~ sP1(X1,X1,X2),
    inference(equality_resolution,[],[f88]) ).

fof(f88,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | ~ sP1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ( X0 != X1
        & ~ r2(X2,X0) )
      | ~ sP1(X0,X1,X2) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ! [X2,X1,X0] :
      ( ( X1 != X2
        & ~ r2(X0,X2) )
      | ~ sP1(X2,X1,X0) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f19745,plain,
    ! [X0] :
      ( ~ sP42(sK13(sK13(X0)))
      | ~ sP34(X0)
      | ~ sP27(sK13(sK13(sK24))) ),
    inference(superposition,[],[f6989,f17894]) ).

fof(f17894,plain,
    ! [X0] : sK18(X0,sK13(sK24)) = sK13(sK13(X0)),
    inference(superposition,[],[f2249,f17826]) ).

fof(f17826,plain,
    ! [X0] : sK13(X0) = sK19(X0,sK13(sK24)),
    inference(superposition,[],[f17793,f13038]) ).

fof(f13038,plain,
    ! [X0,X1] : sK19(X0,X1) = sK23(X0,X1),
    inference(unit_resulting_resolution,[],[f5703,f110]) ).

fof(f110,plain,
    ! [X3,X0,X1] :
      ( sP3(X3,sK23(X0,X1),X1,X0)
      | sK23(X0,X1) = X3 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1,X3] :
      ( ( sK23(X0,X1) = X3
        & r3(X0,X1,X3) )
      | sP3(X3,sK23(X0,X1),X1,X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f33,f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ? [X2] :
        ! [X3] :
          ( ( X2 = X3
            & r3(X0,X1,X3) )
          | sP3(X3,X2,X1,X0) )
     => ! [X3] :
          ( ( sK23(X0,X1) = X3
            & r3(X0,X1,X3) )
          | sP3(X3,sK23(X0,X1),X1,X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( X2 = X3
        & r3(X0,X1,X3) )
      | sP3(X3,X2,X1,X0) ),
    inference(definition_folding,[],[f24,f32]) ).

fof(f32,plain,
    ! [X3,X2,X1,X0] :
      ( ( X2 != X3
        & ~ r3(X0,X1,X3) )
      | ~ sP3(X3,X2,X1,X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f24,plain,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( X2 = X3
        & r3(X0,X1,X3) )
      | ( X2 != X3
        & ~ r3(X0,X1,X3) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X5,X6] :
    ? [X7] :
    ! [X8] :
      ( ( X7 = X8
        & r3(X5,X6,X8) )
      | ( X7 != X8
        & ~ r3(X5,X6,X8) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f5703,plain,
    ! [X2,X0,X1] : ~ sP3(sK19(X0,X1),X2,X1,X0),
    inference(unit_resulting_resolution,[],[f102,f107]) ).

fof(f107,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP3(X0,X1,X2,X3)
      | ~ r3(X3,X2,X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1,X2,X3] :
      ( ( X0 != X1
        & ~ r3(X3,X2,X0) )
      | ~ sP3(X0,X1,X2,X3) ),
    inference(rectify,[],[f67]) ).

fof(f67,plain,
    ! [X3,X2,X1,X0] :
      ( ( X2 != X3
        & ~ r3(X0,X1,X3) )
      | ~ sP3(X3,X2,X1,X0) ),
    inference(nnf_transformation,[],[f32]) ).

fof(f102,plain,
    ! [X0,X1] : r3(X0,X1,sK19(X0,X1)),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( r3(X0,X1,sK19(X0,X1))
      & r2(sK19(X0,X1),sK18(X0,X1))
      & sK18(X0,X1) = sK20(X0,X1)
      & r3(X0,sK21(X0,X1),sK20(X0,X1))
      & r2(X1,sK21(X0,X1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f22,f61,f60,f59,f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( r3(X0,X1,X3)
              & r2(X3,X2) )
          & ? [X4] :
              ( X2 = X4
              & ? [X5] :
                  ( r3(X0,X5,X4)
                  & r2(X1,X5) ) ) )
     => ( ? [X3] :
            ( r3(X0,X1,X3)
            & r2(X3,sK18(X0,X1)) )
        & ? [X4] :
            ( sK18(X0,X1) = X4
            & ? [X5] :
                ( r3(X0,X5,X4)
                & r2(X1,X5) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( r3(X0,X1,X3)
          & r2(X3,sK18(X0,X1)) )
     => ( r3(X0,X1,sK19(X0,X1))
        & r2(sK19(X0,X1),sK18(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( sK18(X0,X1) = X4
          & ? [X5] :
              ( r3(X0,X5,X4)
              & r2(X1,X5) ) )
     => ( sK18(X0,X1) = sK20(X0,X1)
        & ? [X5] :
            ( r3(X0,X5,sK20(X0,X1))
            & r2(X1,X5) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( r3(X0,X5,sK20(X0,X1))
          & r2(X1,X5) )
     => ( r3(X0,sK21(X0,X1),sK20(X0,X1))
        & r2(X1,sK21(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f22,plain,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( r3(X0,X1,X3)
          & r2(X3,X2) )
      & ? [X4] :
          ( X2 = X4
          & ? [X5] :
              ( r3(X0,X5,X4)
              & r2(X1,X5) ) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X13,X14] :
    ? [X15] :
      ( ? [X18] :
          ( r3(X13,X14,X18)
          & r2(X18,X15) )
      & ? [X16] :
          ( X15 = X16
          & ? [X17] :
              ( r3(X13,X17,X16)
              & r2(X14,X17) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).

fof(f17793,plain,
    ! [X0] : sK13(X0) = sK23(X0,sK13(sK24)),
    inference(unit_resulting_resolution,[],[f17735,f110]) ).

fof(f17735,plain,
    ! [X0,X1] : ~ sP3(sK13(X0),X1,sK13(sK24),X0),
    inference(superposition,[],[f5709,f13084]) ).

fof(f13084,plain,
    ! [X0] : sK13(X0) = sK18(X0,sK24),
    inference(superposition,[],[f2249,f13055]) ).

fof(f13055,plain,
    ! [X0] : sK19(X0,sK24) = X0,
    inference(superposition,[],[f13038,f13034]) ).

fof(f13034,plain,
    ! [X0] : sK23(X0,sK24) = X0,
    inference(unit_resulting_resolution,[],[f5707,f110]) ).

fof(f5707,plain,
    ! [X0,X1] : ~ sP3(X0,X1,sK24,X0),
    inference(unit_resulting_resolution,[],[f214,f107]) ).

fof(f214,plain,
    ! [X0] : r3(X0,sK24,X0),
    inference(superposition,[],[f159,f196]) ).

fof(f196,plain,
    ! [X0] : sK12(X0) = sK24,
    inference(unit_resulting_resolution,[],[f163,f114]) ).

fof(f114,plain,
    ! [X1] :
      ( sP4(X1,sK24)
      | sK24 = X1 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f163,plain,
    ! [X0,X1] : ~ sP4(sK12(X0),X1),
    inference(unit_resulting_resolution,[],[f84,f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ~ sP4(X0,X1)
      | ~ r1(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f84,plain,
    ! [X0] : r1(sK12(X0)),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( sK11(X0) = X0
      & r3(X0,sK12(X0),sK11(X0))
      & r1(sK12(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f17,f47,f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 = X1
          & ? [X2] :
              ( r3(X0,X2,X1)
              & r1(X2) ) )
     => ( sK11(X0) = X0
        & ? [X2] :
            ( r3(X0,X2,sK11(X0))
            & r1(X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f47,plain,
    ! [X0] :
      ( ? [X2] :
          ( r3(X0,X2,sK11(X0))
          & r1(X2) )
     => ( r3(X0,sK12(X0),sK11(X0))
        & r1(sK12(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f17,plain,
    ! [X0] :
    ? [X1] :
      ( X0 = X1
      & ? [X2] :
          ( r3(X0,X2,X1)
          & r1(X2) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X29] :
    ? [X30] :
      ( X29 = X30
      & ? [X31] :
          ( r3(X29,X31,X30)
          & r1(X31) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).

fof(f159,plain,
    ! [X0] : r3(X0,sK12(X0),X0),
    inference(forward_demodulation,[],[f85,f86]) ).

fof(f86,plain,
    ! [X0] : sK11(X0) = X0,
    inference(cnf_transformation,[],[f48]) ).

fof(f85,plain,
    ! [X0] : r3(X0,sK12(X0),sK11(X0)),
    inference(cnf_transformation,[],[f48]) ).

fof(f5709,plain,
    ! [X2,X0,X1] : ~ sP3(sK18(X0,X1),X2,sK13(X1),X0),
    inference(forward_demodulation,[],[f5706,f2247]) ).

fof(f2247,plain,
    ! [X0,X1] : sK13(X0) = sK21(X1,X0),
    inference(unit_resulting_resolution,[],[f492,f90]) ).

fof(f90,plain,
    ! [X2,X0] :
      ( sP1(X2,sK13(X0),X0)
      | sK13(X0) = X2 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f492,plain,
    ! [X2,X0,X1] : ~ sP1(sK21(X0,X1),X2,X1),
    inference(unit_resulting_resolution,[],[f98,f87]) ).

fof(f87,plain,
    ! [X2,X0,X1] :
      ( ~ sP1(X0,X1,X2)
      | ~ r2(X2,X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f98,plain,
    ! [X0,X1] : r2(X1,sK21(X0,X1)),
    inference(cnf_transformation,[],[f62]) ).

fof(f5706,plain,
    ! [X2,X0,X1] : ~ sP3(sK18(X0,X1),X2,sK21(X0,X1),X0),
    inference(unit_resulting_resolution,[],[f161,f107]) ).

fof(f161,plain,
    ! [X0,X1] : r3(X0,sK21(X0,X1),sK18(X0,X1)),
    inference(forward_demodulation,[],[f99,f100]) ).

fof(f100,plain,
    ! [X0,X1] : sK18(X0,X1) = sK20(X0,X1),
    inference(cnf_transformation,[],[f62]) ).

fof(f99,plain,
    ! [X0,X1] : r3(X0,sK21(X0,X1),sK20(X0,X1)),
    inference(cnf_transformation,[],[f62]) ).

fof(f2249,plain,
    ! [X0,X1] : sK18(X0,X1) = sK13(sK19(X0,X1)),
    inference(unit_resulting_resolution,[],[f493,f90]) ).

fof(f493,plain,
    ! [X2,X0,X1] : ~ sP1(sK18(X0,X1),X2,sK19(X0,X1)),
    inference(unit_resulting_resolution,[],[f101,f87]) ).

fof(f101,plain,
    ! [X0,X1] : r2(sK19(X0,X1),sK18(X0,X1)),
    inference(cnf_transformation,[],[f62]) ).

fof(f6989,plain,
    ! [X0,X1] :
      ( ~ sP42(sK18(X1,X0))
      | ~ sP34(X1)
      | ~ sP27(sK13(X0)) ),
    inference(resolution,[],[f157,f2415]) ).

fof(f2415,plain,
    ! [X0,X1] : r3(X0,sK13(X1),sK18(X0,X1)),
    inference(superposition,[],[f161,f2247]) ).

fof(f157,plain,
    ! [X1,X9,X12] :
      ( ~ r3(X1,X9,X12)
      | ~ sP27(X9)
      | ~ sP34(X1)
      | ~ sP42(X12) ),
    inference(general_splitting,[],[f155,f156_D]) ).

fof(f156,plain,
    ! [X12,X13] :
      ( ~ r2(X13,X12)
      | ~ sP41(X13)
      | sP42(X12) ),
    inference(cnf_transformation,[],[f156_D]) ).

fof(f156_D,plain,
    ! [X12] :
      ( ! [X13] :
          ( ~ r2(X13,X12)
          | ~ sP41(X13) )
    <=> ~ sP42(X12) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP42])]) ).

fof(f155,plain,
    ! [X1,X9,X12,X13] :
      ( ~ r3(X1,X9,X12)
      | ~ r2(X13,X12)
      | ~ sP27(X9)
      | ~ sP34(X1)
      | ~ sP41(X13) ),
    inference(general_splitting,[],[f153,f154_D]) ).

fof(f154,plain,
    ! [X14,X13] :
      ( ~ r2(X14,X13)
      | ~ sP40(X14)
      | sP41(X13) ),
    inference(cnf_transformation,[],[f154_D]) ).

fof(f154_D,plain,
    ! [X13] :
      ( ! [X14] :
          ( ~ r2(X14,X13)
          | ~ sP40(X14) )
    <=> ~ sP41(X13) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP41])]) ).

fof(f153,plain,
    ! [X1,X9,X14,X12,X13] :
      ( ~ r3(X1,X9,X12)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP27(X9)
      | ~ sP34(X1)
      | ~ sP40(X14) ),
    inference(general_splitting,[],[f151,f152_D]) ).

fof(f152,plain,
    ! [X14,X15] :
      ( ~ r2(X15,X14)
      | ~ sP39(X15)
      | sP40(X14) ),
    inference(cnf_transformation,[],[f152_D]) ).

fof(f152_D,plain,
    ! [X14] :
      ( ! [X15] :
          ( ~ r2(X15,X14)
          | ~ sP39(X15) )
    <=> ~ sP40(X14) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP40])]) ).

fof(f151,plain,
    ! [X1,X9,X14,X15,X12,X13] :
      ( ~ r3(X1,X9,X12)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP27(X9)
      | ~ sP34(X1)
      | ~ sP39(X15) ),
    inference(general_splitting,[],[f149,f150_D]) ).

fof(f150,plain,
    ! [X16,X15] :
      ( ~ r2(X16,X15)
      | ~ sP38(X16)
      | sP39(X15) ),
    inference(cnf_transformation,[],[f150_D]) ).

fof(f150_D,plain,
    ! [X15] :
      ( ! [X16] :
          ( ~ r2(X16,X15)
          | ~ sP38(X16) )
    <=> ~ sP39(X15) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP39])]) ).

fof(f149,plain,
    ! [X1,X9,X16,X14,X15,X12,X13] :
      ( ~ r3(X1,X9,X12)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP27(X9)
      | ~ sP34(X1)
      | ~ sP38(X16) ),
    inference(general_splitting,[],[f147,f148_D]) ).

fof(f148,plain,
    ! [X16,X17] :
      ( ~ r2(X17,X16)
      | ~ sP37(X17)
      | sP38(X16) ),
    inference(cnf_transformation,[],[f148_D]) ).

fof(f148_D,plain,
    ! [X16] :
      ( ! [X17] :
          ( ~ r2(X17,X16)
          | ~ sP37(X17) )
    <=> ~ sP38(X16) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP38])]) ).

fof(f147,plain,
    ! [X1,X9,X16,X14,X17,X15,X12,X13] :
      ( ~ r3(X1,X9,X12)
      | ~ r2(X17,X16)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP27(X9)
      | ~ sP34(X1)
      | ~ sP37(X17) ),
    inference(general_splitting,[],[f145,f146_D]) ).

fof(f146,plain,
    ! [X18,X17] :
      ( ~ r2(X18,X17)
      | ~ sP36(X18)
      | sP37(X17) ),
    inference(cnf_transformation,[],[f146_D]) ).

fof(f146_D,plain,
    ! [X17] :
      ( ! [X18] :
          ( ~ r2(X18,X17)
          | ~ sP36(X18) )
    <=> ~ sP37(X17) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP37])]) ).

fof(f145,plain,
    ! [X1,X18,X9,X16,X14,X17,X15,X12,X13] :
      ( ~ r3(X1,X9,X12)
      | ~ r2(X18,X17)
      | ~ r2(X17,X16)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP27(X9)
      | ~ sP34(X1)
      | ~ sP36(X18) ),
    inference(general_splitting,[],[f143,f144_D]) ).

fof(f144,plain,
    ! [X18,X19] :
      ( ~ r2(X19,X18)
      | ~ sP35(X19)
      | sP36(X18) ),
    inference(cnf_transformation,[],[f144_D]) ).

fof(f144_D,plain,
    ! [X18] :
      ( ! [X19] :
          ( ~ r2(X19,X18)
          | ~ sP35(X19) )
    <=> ~ sP36(X18) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP36])]) ).

fof(f143,plain,
    ! [X1,X18,X19,X9,X16,X14,X17,X15,X12,X13] :
      ( ~ r3(X1,X9,X12)
      | ~ r2(X19,X18)
      | ~ r2(X18,X17)
      | ~ r2(X17,X16)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP27(X9)
      | ~ sP34(X1)
      | ~ sP35(X19) ),
    inference(general_splitting,[],[f141,f142_D]) ).

fof(f142,plain,
    ! [X19,X20] :
      ( ~ r2(X20,X19)
      | ~ sP25(X20)
      | sP35(X19) ),
    inference(cnf_transformation,[],[f142_D]) ).

fof(f142_D,plain,
    ! [X19] :
      ( ! [X20] :
          ( ~ r2(X20,X19)
          | ~ sP25(X20) )
    <=> ~ sP35(X19) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP35])]) ).

fof(f141,plain,
    ! [X1,X18,X19,X9,X16,X14,X17,X15,X12,X13,X20] :
      ( ~ r3(X1,X9,X12)
      | ~ r2(X20,X19)
      | ~ r2(X19,X18)
      | ~ r2(X18,X17)
      | ~ r2(X17,X16)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP25(X20)
      | ~ sP27(X9)
      | ~ sP34(X1) ),
    inference(general_splitting,[],[f139,f140_D]) ).

fof(f140,plain,
    ! [X2,X1] :
      ( ~ r2(X2,X1)
      | ~ sP33(X2)
      | sP34(X1) ),
    inference(cnf_transformation,[],[f140_D]) ).

fof(f140_D,plain,
    ! [X1] :
      ( ! [X2] :
          ( ~ r2(X2,X1)
          | ~ sP33(X2) )
    <=> ~ sP34(X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP34])]) ).

fof(f139,plain,
    ! [X2,X1,X18,X19,X9,X16,X14,X17,X15,X12,X13,X20] :
      ( ~ r2(X2,X1)
      | ~ r3(X1,X9,X12)
      | ~ r2(X20,X19)
      | ~ r2(X19,X18)
      | ~ r2(X18,X17)
      | ~ r2(X17,X16)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP25(X20)
      | ~ sP27(X9)
      | ~ sP33(X2) ),
    inference(general_splitting,[],[f137,f138_D]) ).

fof(f138,plain,
    ! [X2,X3] :
      ( ~ r2(X3,X2)
      | ~ sP32(X3)
      | sP33(X2) ),
    inference(cnf_transformation,[],[f138_D]) ).

fof(f138_D,plain,
    ! [X2] :
      ( ! [X3] :
          ( ~ r2(X3,X2)
          | ~ sP32(X3) )
    <=> ~ sP33(X2) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).

fof(f137,plain,
    ! [X2,X3,X1,X18,X19,X9,X16,X14,X17,X15,X12,X13,X20] :
      ( ~ r2(X3,X2)
      | ~ r2(X2,X1)
      | ~ r3(X1,X9,X12)
      | ~ r2(X20,X19)
      | ~ r2(X19,X18)
      | ~ r2(X18,X17)
      | ~ r2(X17,X16)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP25(X20)
      | ~ sP27(X9)
      | ~ sP32(X3) ),
    inference(general_splitting,[],[f135,f136_D]) ).

fof(f136,plain,
    ! [X3,X4] :
      ( ~ r2(X4,X3)
      | ~ sP31(X4)
      | sP32(X3) ),
    inference(cnf_transformation,[],[f136_D]) ).

fof(f136_D,plain,
    ! [X3] :
      ( ! [X4] :
          ( ~ r2(X4,X3)
          | ~ sP31(X4) )
    <=> ~ sP32(X3) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP32])]) ).

fof(f135,plain,
    ! [X2,X3,X1,X18,X19,X9,X16,X14,X4,X17,X15,X12,X13,X20] :
      ( ~ r2(X4,X3)
      | ~ r2(X3,X2)
      | ~ r2(X2,X1)
      | ~ r3(X1,X9,X12)
      | ~ r2(X20,X19)
      | ~ r2(X19,X18)
      | ~ r2(X18,X17)
      | ~ r2(X17,X16)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP25(X20)
      | ~ sP27(X9)
      | ~ sP31(X4) ),
    inference(general_splitting,[],[f133,f134_D]) ).

fof(f134,plain,
    ! [X4,X5] :
      ( ~ r2(X5,X4)
      | ~ sP30(X5)
      | sP31(X4) ),
    inference(cnf_transformation,[],[f134_D]) ).

fof(f134_D,plain,
    ! [X4] :
      ( ! [X5] :
          ( ~ r2(X5,X4)
          | ~ sP30(X5) )
    <=> ~ sP31(X4) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).

fof(f133,plain,
    ! [X2,X3,X1,X18,X19,X9,X16,X14,X4,X17,X15,X5,X12,X13,X20] :
      ( ~ r2(X5,X4)
      | ~ r2(X4,X3)
      | ~ r2(X3,X2)
      | ~ r2(X2,X1)
      | ~ r3(X1,X9,X12)
      | ~ r2(X20,X19)
      | ~ r2(X19,X18)
      | ~ r2(X18,X17)
      | ~ r2(X17,X16)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP25(X20)
      | ~ sP27(X9)
      | ~ sP30(X5) ),
    inference(general_splitting,[],[f131,f132_D]) ).

fof(f132,plain,
    ! [X6,X5] :
      ( ~ r2(X6,X5)
      | ~ sP29(X6)
      | sP30(X5) ),
    inference(cnf_transformation,[],[f132_D]) ).

fof(f132_D,plain,
    ! [X5] :
      ( ! [X6] :
          ( ~ r2(X6,X5)
          | ~ sP29(X6) )
    <=> ~ sP30(X5) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).

fof(f131,plain,
    ! [X2,X3,X1,X18,X6,X9,X19,X16,X4,X14,X17,X15,X5,X12,X13,X20] :
      ( ~ r2(X6,X5)
      | ~ r2(X5,X4)
      | ~ r2(X4,X3)
      | ~ r2(X3,X2)
      | ~ r2(X2,X1)
      | ~ r3(X1,X9,X12)
      | ~ r2(X20,X19)
      | ~ r2(X19,X18)
      | ~ r2(X18,X17)
      | ~ r2(X17,X16)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP25(X20)
      | ~ sP27(X9)
      | ~ sP29(X6) ),
    inference(general_splitting,[],[f129,f130_D]) ).

fof(f130,plain,
    ! [X6,X7] :
      ( ~ r2(X7,X6)
      | ~ sP28(X7)
      | sP29(X6) ),
    inference(cnf_transformation,[],[f130_D]) ).

fof(f130_D,plain,
    ! [X6] :
      ( ! [X7] :
          ( ~ r2(X7,X6)
          | ~ sP28(X7) )
    <=> ~ sP29(X6) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).

fof(f129,plain,
    ! [X2,X3,X1,X18,X6,X9,X7,X19,X4,X16,X14,X17,X15,X5,X12,X13,X20] :
      ( ~ r2(X7,X6)
      | ~ r2(X6,X5)
      | ~ r2(X5,X4)
      | ~ r2(X4,X3)
      | ~ r2(X3,X2)
      | ~ r2(X2,X1)
      | ~ r3(X1,X9,X12)
      | ~ r2(X20,X19)
      | ~ r2(X19,X18)
      | ~ r2(X18,X17)
      | ~ r2(X17,X16)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP25(X20)
      | ~ sP27(X9)
      | ~ sP28(X7) ),
    inference(general_splitting,[],[f127,f128_D]) ).

fof(f128,plain,
    ! [X8,X7] :
      ( ~ r2(X8,X7)
      | ~ r1(X8)
      | sP28(X7) ),
    inference(cnf_transformation,[],[f128_D]) ).

fof(f128_D,plain,
    ! [X7] :
      ( ! [X8] :
          ( ~ r2(X8,X7)
          | ~ r1(X8) )
    <=> ~ sP28(X7) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).

fof(f127,plain,
    ! [X2,X3,X1,X8,X6,X9,X7,X19,X4,X18,X16,X14,X17,X15,X5,X12,X13,X20] :
      ( ~ r2(X8,X7)
      | ~ r1(X8)
      | ~ r2(X7,X6)
      | ~ r2(X6,X5)
      | ~ r2(X5,X4)
      | ~ r2(X4,X3)
      | ~ r2(X3,X2)
      | ~ r2(X2,X1)
      | ~ r3(X1,X9,X12)
      | ~ r2(X20,X19)
      | ~ r2(X19,X18)
      | ~ r2(X18,X17)
      | ~ r2(X17,X16)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP25(X20)
      | ~ sP27(X9) ),
    inference(general_splitting,[],[f125,f126_D]) ).

fof(f125,plain,
    ! [X2,X3,X10,X1,X8,X6,X9,X7,X19,X4,X18,X16,X14,X17,X15,X5,X12,X13,X20] :
      ( ~ r2(X8,X7)
      | ~ r1(X8)
      | ~ r2(X7,X6)
      | ~ r2(X6,X5)
      | ~ r2(X5,X4)
      | ~ r2(X4,X3)
      | ~ r2(X3,X2)
      | ~ r2(X2,X1)
      | ~ r2(X10,X9)
      | ~ r3(X1,X9,X12)
      | ~ r2(X20,X19)
      | ~ r2(X19,X18)
      | ~ r2(X18,X17)
      | ~ r2(X17,X16)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP25(X20)
      | ~ sP26(X10) ),
    inference(general_splitting,[],[f123,f124_D]) ).

fof(f123,plain,
    ! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X19,X4,X18,X16,X14,X17,X15,X5,X12,X13,X20] :
      ( ~ r2(X8,X7)
      | ~ r1(X8)
      | ~ r2(X7,X6)
      | ~ r2(X6,X5)
      | ~ r2(X5,X4)
      | ~ r2(X4,X3)
      | ~ r2(X3,X2)
      | ~ r2(X2,X1)
      | ~ r2(X11,X10)
      | ~ r1(X11)
      | ~ r2(X10,X9)
      | ~ r3(X1,X9,X12)
      | ~ r2(X20,X19)
      | ~ r2(X19,X18)
      | ~ r2(X18,X17)
      | ~ r2(X17,X16)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | ~ sP25(X20) ),
    inference(general_splitting,[],[f115,f122_D]) ).

fof(f122,plain,
    ! [X21,X20] :
      ( ~ r2(X21,X20)
      | ~ r1(X21)
      | sP25(X20) ),
    inference(cnf_transformation,[],[f122_D]) ).

fof(f122_D,plain,
    ! [X20] :
      ( ! [X21] :
          ( ~ r2(X21,X20)
          | ~ r1(X21) )
    <=> ~ sP25(X20) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).

fof(f115,plain,
    ! [X2,X21,X3,X10,X11,X1,X8,X6,X9,X7,X19,X4,X18,X16,X14,X17,X15,X5,X12,X13,X20] :
      ( ~ r2(X8,X7)
      | ~ r1(X8)
      | ~ r2(X7,X6)
      | ~ r2(X6,X5)
      | ~ r2(X5,X4)
      | ~ r2(X4,X3)
      | ~ r2(X3,X2)
      | ~ r2(X2,X1)
      | ~ r2(X11,X10)
      | ~ r1(X11)
      | ~ r2(X10,X9)
      | ~ r3(X1,X9,X12)
      | ~ r2(X21,X20)
      | ~ r1(X21)
      | ~ r2(X20,X19)
      | ~ r2(X19,X18)
      | ~ r2(X18,X17)
      | ~ r2(X17,X16)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12) ),
    inference(equality_resolution,[],[f75]) ).

fof(f75,plain,
    ! [X2,X21,X3,X10,X0,X11,X1,X8,X6,X9,X7,X19,X4,X18,X16,X14,X17,X15,X5,X12,X13,X20] :
      ( ~ r2(X8,X7)
      | ~ r1(X8)
      | ~ r2(X7,X6)
      | ~ r2(X6,X5)
      | ~ r2(X5,X4)
      | ~ r2(X4,X3)
      | ~ r2(X3,X2)
      | ~ r2(X2,X1)
      | ~ r2(X11,X10)
      | ~ r1(X11)
      | ~ r2(X10,X9)
      | ~ r3(X1,X9,X0)
      | ~ r2(X21,X20)
      | ~ r1(X21)
      | ~ r2(X20,X19)
      | ~ r2(X19,X18)
      | ~ r2(X18,X17)
      | ~ r2(X17,X16)
      | ~ r2(X16,X15)
      | ~ r2(X15,X14)
      | ~ r2(X14,X13)
      | ~ r2(X13,X12)
      | X0 != X12 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ~ r2(X8,X7)
                                      | ~ r1(X8) )
                                  | ~ r2(X7,X6) )
                              | ~ r2(X6,X5) )
                          | ~ r2(X5,X4) )
                      | ~ r2(X4,X3) )
                  | ~ r2(X3,X2) )
              | ~ r2(X2,X1) )
          | ! [X9] :
              ( ! [X10] :
                  ( ! [X11] :
                      ( ~ r2(X11,X10)
                      | ~ r1(X11) )
                  | ~ r2(X10,X9) )
              | ~ r3(X1,X9,X0) ) )
      | ! [X12] :
          ( ! [X13] :
              ( ! [X14] :
                  ( ! [X15] :
                      ( ! [X16] :
                          ( ! [X17] :
                              ( ! [X18] :
                                  ( ! [X19] :
                                      ( ! [X20] :
                                          ( ! [X21] :
                                              ( ~ r2(X21,X20)
                                              | ~ r1(X21) )
                                          | ~ r2(X20,X19) )
                                      | ~ r2(X19,X18) )
                                  | ~ r2(X18,X17) )
                              | ~ r2(X17,X16) )
                          | ~ r2(X16,X15) )
                      | ~ r2(X15,X14) )
                  | ~ r2(X14,X13) )
              | ~ r2(X13,X12) )
          | X0 != X12 ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ~ ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ? [X7] :
                                    ( ? [X8] :
                                        ( r2(X8,X7)
                                        & r1(X8) )
                                    & r2(X7,X6) )
                                & r2(X6,X5) )
                            & r2(X5,X4) )
                        & r2(X4,X3) )
                    & r2(X3,X2) )
                & r2(X2,X1) )
            & ? [X9] :
                ( ? [X10] :
                    ( ? [X11] :
                        ( r2(X11,X10)
                        & r1(X11) )
                    & r2(X10,X9) )
                & r3(X1,X9,X0) ) )
        & ? [X12] :
            ( ? [X13] :
                ( ? [X14] :
                    ( ? [X15] :
                        ( ? [X16] :
                            ( ? [X17] :
                                ( ? [X18] :
                                    ( ? [X19] :
                                        ( ? [X20] :
                                            ( ? [X21] :
                                                ( r2(X21,X20)
                                                & r1(X21) )
                                            & r2(X20,X19) )
                                        & r2(X19,X18) )
                                    & r2(X18,X17) )
                                & r2(X17,X16) )
                            & r2(X16,X15) )
                        & r2(X15,X14) )
                    & r2(X14,X13) )
                & r2(X13,X12) )
            & X0 = X12 ) ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ? [X38] :
        ( ? [X16] :
            ( ? [X18] :
                ( ? [X30] :
                    ( ? [X39] :
                        ( ? [X28] :
                            ( ? [X17] :
                                ( ? [X35] :
                                    ( ? [X3] :
                                        ( r2(X3,X35)
                                        & r1(X3) )
                                    & r2(X35,X17) )
                                & r2(X17,X28) )
                            & r2(X28,X39) )
                        & r2(X39,X30) )
                    & r2(X30,X18) )
                & r2(X18,X16) )
            & ? [X31] :
                ( ? [X37] :
                    ( ? [X7] :
                        ( r2(X7,X37)
                        & r1(X7) )
                    & r2(X37,X31) )
                & r3(X16,X31,X38) ) )
        & ? [X21] :
            ( ? [X22] :
                ( ? [X15] :
                    ( ? [X24] :
                        ( ? [X33] :
                            ( ? [X41] :
                                ( ? [X27] :
                                    ( ? [X23] :
                                        ( ? [X34] :
                                            ( ? [X42] :
                                                ( r2(X42,X34)
                                                & r1(X42) )
                                            & r2(X34,X23) )
                                        & r2(X23,X27) )
                                    & r2(X27,X41) )
                                & r2(X41,X33) )
                            & r2(X33,X24) )
                        & r2(X24,X15) )
                    & r2(X15,X22) )
                & r2(X22,X21) )
            & X21 = X38 ) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ? [X38] :
      ( ? [X16] :
          ( ? [X18] :
              ( ? [X30] :
                  ( ? [X39] :
                      ( ? [X28] :
                          ( ? [X17] :
                              ( ? [X35] :
                                  ( ? [X3] :
                                      ( r2(X3,X35)
                                      & r1(X3) )
                                  & r2(X35,X17) )
                              & r2(X17,X28) )
                          & r2(X28,X39) )
                      & r2(X39,X30) )
                  & r2(X30,X18) )
              & r2(X18,X16) )
          & ? [X31] :
              ( ? [X37] :
                  ( ? [X7] :
                      ( r2(X7,X37)
                      & r1(X7) )
                  & r2(X37,X31) )
              & r3(X16,X31,X38) ) )
      & ? [X21] :
          ( ? [X22] :
              ( ? [X15] :
                  ( ? [X24] :
                      ( ? [X33] :
                          ( ? [X41] :
                              ( ? [X27] :
                                  ( ? [X23] :
                                      ( ? [X34] :
                                          ( ? [X42] :
                                              ( r2(X42,X34)
                                              & r1(X42) )
                                          & r2(X34,X23) )
                                      & r2(X23,X27) )
                                  & r2(X27,X41) )
                              & r2(X41,X33) )
                          & r2(X33,X24) )
                      & r2(X24,X15) )
                  & r2(X15,X22) )
              & r2(X22,X21) )
          & X21 = X38 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sevenplustwoeqnine) ).

fof(f2092,plain,
    sP34(sK13(sK13(sK13(sK13(sK13(sK13(sK13(sK24)))))))),
    inference(unit_resulting_resolution,[],[f528,f1309,f140]) ).

fof(f1309,plain,
    sP33(sK13(sK13(sK13(sK13(sK13(sK13(sK24))))))),
    inference(unit_resulting_resolution,[],[f528,f931,f138]) ).

fof(f931,plain,
    sP32(sK13(sK13(sK13(sK13(sK13(sK24)))))),
    inference(unit_resulting_resolution,[],[f528,f801,f136]) ).

fof(f801,plain,
    sP31(sK13(sK13(sK13(sK13(sK24))))),
    inference(unit_resulting_resolution,[],[f528,f627,f134]) ).

fof(f627,plain,
    sP30(sK13(sK13(sK13(sK24)))),
    inference(unit_resulting_resolution,[],[f528,f612,f132]) ).

fof(f612,plain,
    sP29(sK13(sK13(sK24))),
    inference(unit_resulting_resolution,[],[f528,f553,f130]) ).

fof(f553,plain,
    sP28(sK13(sK24)),
    inference(unit_resulting_resolution,[],[f165,f528,f128]) ).

fof(f22878,plain,
    sP42(sK13(sK13(sK13(sK13(sK13(sK13(sK13(sK13(sK13(sK24)))))))))),
    inference(forward_demodulation,[],[f22872,f2247]) ).

fof(f22872,plain,
    ! [X0] : sP42(sK21(X0,sK13(sK13(sK13(sK13(sK13(sK13(sK13(sK13(sK24)))))))))),
    inference(unit_resulting_resolution,[],[f98,f6889,f156]) ).

fof(f6889,plain,
    sP41(sK13(sK13(sK13(sK13(sK13(sK13(sK13(sK13(sK24))))))))),
    inference(unit_resulting_resolution,[],[f528,f2083,f154]) ).

fof(f2083,plain,
    sP40(sK13(sK13(sK13(sK13(sK13(sK13(sK13(sK24)))))))),
    inference(unit_resulting_resolution,[],[f528,f1300,f152]) ).

fof(f1300,plain,
    sP39(sK13(sK13(sK13(sK13(sK13(sK13(sK24))))))),
    inference(unit_resulting_resolution,[],[f528,f922,f150]) ).

fof(f922,plain,
    sP38(sK13(sK13(sK13(sK13(sK13(sK24)))))),
    inference(unit_resulting_resolution,[],[f528,f792,f148]) ).

fof(f792,plain,
    sP37(sK13(sK13(sK13(sK13(sK24))))),
    inference(unit_resulting_resolution,[],[f528,f620,f146]) ).

fof(f620,plain,
    sP36(sK13(sK13(sK13(sK24)))),
    inference(unit_resulting_resolution,[],[f528,f598,f144]) ).

fof(f598,plain,
    sP35(sK13(sK13(sK24))),
    inference(unit_resulting_resolution,[],[f528,f543,f142]) ).

fof(f543,plain,
    sP25(sK13(sK24)),
    inference(unit_resulting_resolution,[],[f165,f528,f122]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUN075+2 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n029.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 18:52:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (27434)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (27437)WARNING: value z3 for option sas not known
% 0.21/0.38  % (27435)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38  % (27438)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38  % (27437)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)
% 0.21/0.38  % (27436)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38  % (27439)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)
% 0.21/0.38  % (27440)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)
% 0.21/0.38  % (27441)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)
% 0.21/0.38  TRYING [1]
% 0.21/0.38  TRYING [2]
% 0.21/0.38  TRYING [3]
% 0.21/0.39  TRYING [4]
% 0.21/0.39  TRYING [1]
% 0.21/0.39  TRYING [2]
% 0.21/0.40  TRYING [3]
% 0.21/0.40  TRYING [5]
% 0.21/0.42  TRYING [6]
% 0.21/0.43  TRYING [4]
% 0.21/0.46  TRYING [7]
% 0.21/0.50  TRYING [5]
% 0.21/0.52  TRYING [8]
% 1.32/0.54  % (27441)First to succeed.
% 1.32/0.54  % (27441)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27434"
% 1.32/0.55  % (27441)Refutation found. Thanks to Tanya!
% 1.32/0.55  % SZS status Theorem for theBenchmark
% 1.32/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.55  % (27441)------------------------------
% 1.32/0.55  % (27441)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.55  % (27441)Termination reason: Refutation
% 1.32/0.55  
% 1.32/0.55  % (27441)Memory used [KB]: 2507
% 1.32/0.55  % (27441)Time elapsed: 0.170 s
% 1.32/0.55  % (27441)Instructions burned: 422 (million)
% 1.32/0.55  % (27434)Success in time 0.187 s
%------------------------------------------------------------------------------