TSTP Solution File: PRO011+4 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PRO011+4 : 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 : n008.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 08:47:36 EDT 2024

% Result   : Theorem 0.22s 0.42s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   66 (   4 unt;   0 def)
%            Number of atoms       :  322 (  10 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  348 (  92   ~;  88   |; 143   &)
%                                         (   5 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :  178 ( 117   !;  61   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f430,plain,
    $false,
    inference(resolution,[],[f429,f185]) ).

fof(f185,plain,
    occurrence_of(sK3,tptp0),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ( ! [X1,X2] :
        ( ( min_precedes(X1,sK4(X1),tptp0)
          & subactivity_occurrence(sK4(X1),sK3)
          & occurrence_of(sK4(X1),tptp1)
          & occurrence_of(X2,tptp2) )
        | sP0(X1,sK3,X2)
        | ~ leaf_occ(X2,sK3) )
    & occurrence_of(sK3,tptp0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f132,f140,f139]) ).

fof(f139,plain,
    ( ? [X0] :
        ( ! [X1,X2] :
            ( ( ? [X3] :
                  ( min_precedes(X1,X3,tptp0)
                  & subactivity_occurrence(X3,X0)
                  & occurrence_of(X3,tptp1) )
              & occurrence_of(X2,tptp2) )
            | sP0(X1,X0,X2)
            | ~ leaf_occ(X2,X0) )
        & occurrence_of(X0,tptp0) )
   => ( ! [X2,X1] :
          ( ( ? [X3] :
                ( min_precedes(X1,X3,tptp0)
                & subactivity_occurrence(X3,sK3)
                & occurrence_of(X3,tptp1) )
            & occurrence_of(X2,tptp2) )
          | sP0(X1,sK3,X2)
          | ~ leaf_occ(X2,sK3) )
      & occurrence_of(sK3,tptp0) ) ),
    introduced(choice_axiom,[]) ).

fof(f140,plain,
    ! [X1] :
      ( ? [X3] :
          ( min_precedes(X1,X3,tptp0)
          & subactivity_occurrence(X3,sK3)
          & occurrence_of(X3,tptp1) )
     => ( min_precedes(X1,sK4(X1),tptp0)
        & subactivity_occurrence(sK4(X1),sK3)
        & occurrence_of(sK4(X1),tptp1) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ? [X0] :
      ( ! [X1,X2] :
          ( ( ? [X3] :
                ( min_precedes(X1,X3,tptp0)
                & subactivity_occurrence(X3,X0)
                & occurrence_of(X3,tptp1) )
            & occurrence_of(X2,tptp2) )
          | sP0(X1,X0,X2)
          | ~ leaf_occ(X2,X0) )
      & occurrence_of(X0,tptp0) ),
    inference(definition_folding,[],[f87,f131]) ).

fof(f131,plain,
    ! [X1,X0,X2] :
      ( ( ? [X4] :
            ( min_precedes(X1,X4,tptp0)
            & subactivity_occurrence(X4,X0)
            & occurrence_of(X4,tptp2) )
        & occurrence_of(X2,tptp1) )
      | ~ sP0(X1,X0,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f87,plain,
    ? [X0] :
      ( ! [X1,X2] :
          ( ( ? [X3] :
                ( min_precedes(X1,X3,tptp0)
                & subactivity_occurrence(X3,X0)
                & occurrence_of(X3,tptp1) )
            & occurrence_of(X2,tptp2) )
          | ( ? [X4] :
                ( min_precedes(X1,X4,tptp0)
                & subactivity_occurrence(X4,X0)
                & occurrence_of(X4,tptp2) )
            & occurrence_of(X2,tptp1) )
          | ~ leaf_occ(X2,X0) )
      & occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ~ ! [X0] :
        ( occurrence_of(X0,tptp0)
       => ? [X1,X2] :
            ( ( occurrence_of(X2,tptp2)
             => ~ ? [X3] :
                    ( min_precedes(X1,X3,tptp0)
                    & subactivity_occurrence(X3,X0)
                    & occurrence_of(X3,tptp1) ) )
            & ( occurrence_of(X2,tptp1)
             => ~ ? [X4] :
                    ( min_precedes(X1,X4,tptp0)
                    & subactivity_occurrence(X4,X0)
                    & occurrence_of(X4,tptp2) ) )
            & leaf_occ(X2,X0) ) ),
    inference(rectify,[],[f47]) ).

fof(f47,negated_conjecture,
    ~ ! [X105] :
        ( occurrence_of(X105,tptp0)
       => ? [X106,X107] :
            ( ( occurrence_of(X107,tptp2)
             => ~ ? [X109] :
                    ( min_precedes(X106,X109,tptp0)
                    & subactivity_occurrence(X109,X105)
                    & occurrence_of(X109,tptp1) ) )
            & ( occurrence_of(X107,tptp1)
             => ~ ? [X108] :
                    ( min_precedes(X106,X108,tptp0)
                    & subactivity_occurrence(X108,X105)
                    & occurrence_of(X108,tptp2) ) )
            & leaf_occ(X107,X105) ) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f46,conjecture,
    ! [X105] :
      ( occurrence_of(X105,tptp0)
     => ? [X106,X107] :
          ( ( occurrence_of(X107,tptp2)
           => ~ ? [X109] :
                  ( min_precedes(X106,X109,tptp0)
                  & subactivity_occurrence(X109,X105)
                  & occurrence_of(X109,tptp1) ) )
          & ( occurrence_of(X107,tptp1)
           => ~ ? [X108] :
                  ( min_precedes(X106,X108,tptp0)
                  & subactivity_occurrence(X108,X105)
                  & occurrence_of(X108,tptp2) ) )
          & leaf_occ(X107,X105) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f429,plain,
    ~ occurrence_of(sK3,tptp0),
    inference(duplicate_literal_removal,[],[f428]) ).

fof(f428,plain,
    ( ~ occurrence_of(sK3,tptp0)
    | ~ occurrence_of(sK3,tptp0) ),
    inference(resolution,[],[f427,f210]) ).

fof(f210,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(definition_folding,[],[f90,f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( leaf_occ(X3,X0)
          & next_subocc(X2,X3,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & next_subocc(X1,X2,tptp0)
          & occurrence_of(X2,tptp4)
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp3) )
      | ~ sP1(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f90,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( leaf_occ(X3,X0)
          & next_subocc(X2,X3,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & next_subocc(X1,X2,tptp0)
          & occurrence_of(X2,tptp4)
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp3) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2,X3] :
          ( leaf_occ(X3,X0)
          & next_subocc(X2,X3,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & next_subocc(X1,X2,tptp0)
          & occurrence_of(X2,tptp4)
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp3) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,axiom,
    ! [X101] :
      ( occurrence_of(X101,tptp0)
     => ? [X102,X103,X104] :
          ( leaf_occ(X104,X101)
          & next_subocc(X103,X104,tptp0)
          & ( occurrence_of(X104,tptp2)
            | occurrence_of(X104,tptp1) )
          & next_subocc(X102,X103,tptp0)
          & occurrence_of(X103,tptp4)
          & root_occ(X102,X101)
          & occurrence_of(X102,tptp3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).

fof(f427,plain,
    ( ~ sP1(sK3)
    | ~ occurrence_of(sK3,tptp0) ),
    inference(resolution,[],[f426,f209]) ).

fof(f209,plain,
    ! [X0] :
      ( leaf_occ(sK8(X0),X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0] :
      ( ( leaf_occ(sK8(X0),X0)
        & next_subocc(sK7(X0),sK8(X0),tptp0)
        & ( occurrence_of(sK8(X0),tptp2)
          | occurrence_of(sK8(X0),tptp1) )
        & next_subocc(sK6(X0),sK7(X0),tptp0)
        & occurrence_of(sK7(X0),tptp4)
        & root_occ(sK6(X0),X0)
        & occurrence_of(sK6(X0),tptp3) )
      | ~ sP1(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f144,f145]) ).

fof(f145,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( leaf_occ(X3,X0)
          & next_subocc(X2,X3,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & next_subocc(X1,X2,tptp0)
          & occurrence_of(X2,tptp4)
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp3) )
     => ( leaf_occ(sK8(X0),X0)
        & next_subocc(sK7(X0),sK8(X0),tptp0)
        & ( occurrence_of(sK8(X0),tptp2)
          | occurrence_of(sK8(X0),tptp1) )
        & next_subocc(sK6(X0),sK7(X0),tptp0)
        & occurrence_of(sK7(X0),tptp4)
        & root_occ(sK6(X0),X0)
        & occurrence_of(sK6(X0),tptp3) ) ),
    introduced(choice_axiom,[]) ).

fof(f144,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( leaf_occ(X3,X0)
          & next_subocc(X2,X3,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & next_subocc(X1,X2,tptp0)
          & occurrence_of(X2,tptp4)
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp3) )
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f133]) ).

fof(f426,plain,
    ! [X0] :
      ( ~ leaf_occ(X0,sK3)
      | ~ occurrence_of(sK3,tptp0) ),
    inference(duplicate_literal_removal,[],[f424]) ).

fof(f424,plain,
    ! [X0] :
      ( ~ occurrence_of(sK3,tptp0)
      | ~ leaf_occ(X0,sK3)
      | ~ occurrence_of(sK3,tptp0) ),
    inference(resolution,[],[f413,f415]) ).

fof(f415,plain,
    ! [X0,X1] :
      ( ~ sP0(sK8(sK3),X0,X1)
      | ~ occurrence_of(sK3,tptp0) ),
    inference(resolution,[],[f412,f184]) ).

fof(f184,plain,
    ! [X2,X0,X1] :
      ( min_precedes(X0,sK2(X0,X1),tptp0)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ! [X0,X1,X2] :
      ( ( min_precedes(X0,sK2(X0,X1),tptp0)
        & subactivity_occurrence(sK2(X0,X1),X1)
        & occurrence_of(sK2(X0,X1),tptp2)
        & occurrence_of(X2,tptp1) )
      | ~ sP0(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f136,f137]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( min_precedes(X0,X3,tptp0)
          & subactivity_occurrence(X3,X1)
          & occurrence_of(X3,tptp2) )
     => ( min_precedes(X0,sK2(X0,X1),tptp0)
        & subactivity_occurrence(sK2(X0,X1),X1)
        & occurrence_of(sK2(X0,X1),tptp2) ) ),
    introduced(choice_axiom,[]) ).

fof(f136,plain,
    ! [X0,X1,X2] :
      ( ( ? [X3] :
            ( min_precedes(X0,X3,tptp0)
            & subactivity_occurrence(X3,X1)
            & occurrence_of(X3,tptp2) )
        & occurrence_of(X2,tptp1) )
      | ~ sP0(X0,X1,X2) ),
    inference(rectify,[],[f135]) ).

fof(f135,plain,
    ! [X1,X0,X2] :
      ( ( ? [X4] :
            ( min_precedes(X1,X4,tptp0)
            & subactivity_occurrence(X4,X0)
            & occurrence_of(X4,tptp2) )
        & occurrence_of(X2,tptp1) )
      | ~ sP0(X1,X0,X2) ),
    inference(nnf_transformation,[],[f131]) ).

fof(f412,plain,
    ! [X0] :
      ( ~ min_precedes(sK8(sK3),X0,tptp0)
      | ~ occurrence_of(sK3,tptp0) ),
    inference(resolution,[],[f411,f210]) ).

fof(f411,plain,
    ! [X0] :
      ( ~ sP1(sK3)
      | ~ min_precedes(sK8(sK3),X0,tptp0) ),
    inference(resolution,[],[f401,f209]) ).

fof(f401,plain,
    ! [X0] :
      ( ~ leaf_occ(sK8(sK3),sK3)
      | ~ min_precedes(sK8(sK3),X0,tptp0) ),
    inference(resolution,[],[f399,f224]) ).

fof(f224,plain,
    ! [X0,X1,X4] :
      ( ~ leaf(X0,X1)
      | ~ min_precedes(X0,X4,X1) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | min_precedes(X0,sK12(X0,X1),X1)
        | ( ! [X3] : ~ min_precedes(X3,X0,X1)
          & ~ root(X0,X1) ) )
      & ( ( ! [X4] : ~ min_precedes(X0,X4,X1)
          & ( min_precedes(sK13(X0,X1),X0,X1)
            | root(X0,X1) ) )
        | ~ leaf(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f156,f158,f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ? [X2] : min_precedes(X0,X2,X1)
     => min_precedes(X0,sK12(X0,X1),X1) ),
    introduced(choice_axiom,[]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ? [X5] : min_precedes(X5,X0,X1)
     => min_precedes(sK13(X0,X1),X0,X1) ),
    introduced(choice_axiom,[]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ? [X2] : min_precedes(X0,X2,X1)
        | ( ! [X3] : ~ min_precedes(X3,X0,X1)
          & ~ root(X0,X1) ) )
      & ( ( ! [X4] : ~ min_precedes(X0,X4,X1)
          & ( ? [X5] : min_precedes(X5,X0,X1)
            | root(X0,X1) ) )
        | ~ leaf(X0,X1) ) ),
    inference(rectify,[],[f155]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ? [X2] : min_precedes(X0,X2,X1)
        | ( ! [X3] : ~ min_precedes(X3,X0,X1)
          & ~ root(X0,X1) ) )
      & ( ( ! [X2] : ~ min_precedes(X0,X2,X1)
          & ( ? [X3] : min_precedes(X3,X0,X1)
            | root(X0,X1) ) )
        | ~ leaf(X0,X1) ) ),
    inference(flattening,[],[f154]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ? [X2] : min_precedes(X0,X2,X1)
        | ( ! [X3] : ~ min_precedes(X3,X0,X1)
          & ~ root(X0,X1) ) )
      & ( ( ! [X2] : ~ min_precedes(X0,X2,X1)
          & ( ? [X3] : min_precedes(X3,X0,X1)
            | root(X0,X1) ) )
        | ~ leaf(X0,X1) ) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ! [X2] : ~ min_precedes(X0,X2,X1)
        & ( ? [X3] : min_precedes(X3,X0,X1)
          | root(X0,X1) ) ) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ~ ? [X2] : min_precedes(X0,X2,X1)
        & ( ? [X3] : min_precedes(X3,X0,X1)
          | root(X0,X1) ) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X47,X48] :
      ( leaf(X47,X48)
    <=> ( ~ ? [X50] : min_precedes(X47,X50,X48)
        & ( ? [X49] : min_precedes(X49,X47,X48)
          | root(X47,X48) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).

fof(f399,plain,
    ( leaf(sK8(sK3),tptp0)
    | ~ leaf_occ(sK8(sK3),sK3) ),
    inference(superposition,[],[f238,f398]) ).

fof(f398,plain,
    tptp0 = sK16(sK8(sK3),sK3),
    inference(resolution,[],[f385,f185]) ).

fof(f385,plain,
    ( ~ occurrence_of(sK3,tptp0)
    | tptp0 = sK16(sK8(sK3),sK3) ),
    inference(resolution,[],[f383,f210]) ).

fof(f383,plain,
    ( ~ sP1(sK3)
    | tptp0 = sK16(sK8(sK3),sK3) ),
    inference(resolution,[],[f365,f209]) ).

fof(f365,plain,
    ! [X0] :
      ( ~ leaf_occ(X0,sK3)
      | tptp0 = sK16(X0,sK3) ),
    inference(resolution,[],[f343,f236]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( occurrence_of(X1,sK16(X0,X1))
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ leaf(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ( leaf(X0,sK16(X0,X1))
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,sK16(X0,X1)) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f169,f170]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( leaf(X0,X3)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X3) )
     => ( leaf(X0,sK16(X0,X1))
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,sK16(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ leaf(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ? [X3] :
            ( leaf(X0,X3)
            & subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X3) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(rectify,[],[f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ leaf(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ? [X2] :
            ( leaf(X0,X2)
            & subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X2) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
    <=> ? [X2] :
          ( leaf(X0,X2)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X2) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X55,X56] :
      ( leaf_occ(X55,X56)
    <=> ? [X57] :
          ( leaf(X55,X57)
          & subactivity_occurrence(X55,X56)
          & occurrence_of(X56,X57) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).

fof(f343,plain,
    ! [X0] :
      ( ~ occurrence_of(sK3,X0)
      | tptp0 = X0 ),
    inference(resolution,[],[f252,f185]) ).

fof(f252,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X2)
        & occurrence_of(X0,X1) )
     => X1 = X2 ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X28,X29,X30] :
      ( ( occurrence_of(X28,X30)
        & occurrence_of(X28,X29) )
     => X29 = X30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).

fof(f238,plain,
    ! [X0,X1] :
      ( leaf(X0,sK16(X0,X1))
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f413,plain,
    ! [X0] :
      ( sP0(sK8(sK3),sK3,X0)
      | ~ occurrence_of(sK3,tptp0)
      | ~ leaf_occ(X0,sK3) ),
    inference(resolution,[],[f412,f189]) ).

fof(f189,plain,
    ! [X2,X1] :
      ( min_precedes(X1,sK4(X1),tptp0)
      | sP0(X1,sK3,X2)
      | ~ leaf_occ(X2,sK3) ),
    inference(cnf_transformation,[],[f141]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PRO011+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n008.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   : Fri May  3 20:36:53 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.37  % (14471)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (14472)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.40  % (14474)WARNING: value z3 for option sas not known
% 0.16/0.40  % (14475)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.40  % (14473)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.40  % (14476)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)
% 0.16/0.40  % (14474)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)
% 0.16/0.40  % (14478)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)
% 0.16/0.40  % (14477)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)
% 0.22/0.41  Detected minimum model sizes of [4]
% 0.22/0.41  Detected maximum model sizes of [max]
% 0.22/0.41  Detected minimum model sizes of [4]
% 0.22/0.41  Detected maximum model sizes of [max]
% 0.22/0.41  TRYING [4]
% 0.22/0.41  TRYING [4]
% 0.22/0.42  % (14477)First to succeed.
% 0.22/0.42  % (14477)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14471"
% 0.22/0.42  % (14477)Refutation found. Thanks to Tanya!
% 0.22/0.42  % SZS status Theorem for theBenchmark
% 0.22/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.42  % (14477)------------------------------
% 0.22/0.42  % (14477)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.42  % (14477)Termination reason: Refutation
% 0.22/0.42  
% 0.22/0.42  % (14477)Memory used [KB]: 1009
% 0.22/0.42  % (14477)Time elapsed: 0.021 s
% 0.22/0.42  % (14477)Instructions burned: 18 (million)
% 0.22/0.42  % (14471)Success in time 0.051 s
%------------------------------------------------------------------------------