TSTP Solution File: PRO011+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PRO011+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 : n005.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 0.18s 0.38s
% Output   : Refutation 0.18s
% 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(f455,plain,
    $false,
    inference(resolution,[],[f454,f190]) ).

fof(f190,plain,
    occurrence_of(sK3,tptp0),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,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])],[f138,f146,f145]) ).

fof(f145,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(f146,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(f138,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,[],[f89,f137]) ).

fof(f137,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(f89,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,[],[f51]) ).

fof(f51,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,[],[f50]) ).

fof(f50,negated_conjecture,
    ~ ! [X109] :
        ( occurrence_of(X109,tptp0)
       => ? [X110,X111] :
            ( ( occurrence_of(X111,tptp2)
             => ~ ? [X113] :
                    ( min_precedes(X110,X113,tptp0)
                    & subactivity_occurrence(X113,X109)
                    & occurrence_of(X113,tptp1) ) )
            & ( occurrence_of(X111,tptp1)
             => ~ ? [X112] :
                    ( min_precedes(X110,X112,tptp0)
                    & subactivity_occurrence(X112,X109)
                    & occurrence_of(X112,tptp2) ) )
            & leaf_occ(X111,X109) ) ),
    inference(negated_conjecture,[],[f49]) ).

fof(f49,conjecture,
    ! [X109] :
      ( occurrence_of(X109,tptp0)
     => ? [X110,X111] :
          ( ( occurrence_of(X111,tptp2)
           => ~ ? [X113] :
                  ( min_precedes(X110,X113,tptp0)
                  & subactivity_occurrence(X113,X109)
                  & occurrence_of(X113,tptp1) ) )
          & ( occurrence_of(X111,tptp1)
           => ~ ? [X112] :
                  ( min_precedes(X110,X112,tptp0)
                  & subactivity_occurrence(X112,X109)
                  & occurrence_of(X112,tptp2) ) )
          & leaf_occ(X111,X109) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f454,plain,
    ~ occurrence_of(sK3,tptp0),
    inference(duplicate_literal_removal,[],[f453]) ).

fof(f453,plain,
    ( ~ occurrence_of(sK3,tptp0)
    | ~ occurrence_of(sK3,tptp0) ),
    inference(resolution,[],[f452,f218]) ).

fof(f218,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( sP1(X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(definition_folding,[],[f93,f139]) ).

fof(f139,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(f93,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,[],[f55]) ).

fof(f55,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,[],[f36]) ).

fof(f36,axiom,
    ! [X105] :
      ( occurrence_of(X105,tptp0)
     => ? [X106,X107,X108] :
          ( leaf_occ(X108,X105)
          & next_subocc(X107,X108,tptp0)
          & ( occurrence_of(X108,tptp2)
            | occurrence_of(X108,tptp1) )
          & next_subocc(X106,X107,tptp0)
          & occurrence_of(X107,tptp4)
          & root_occ(X106,X105)
          & occurrence_of(X106,tptp3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).

fof(f452,plain,
    ( ~ sP1(sK3)
    | ~ occurrence_of(sK3,tptp0) ),
    inference(resolution,[],[f451,f217]) ).

fof(f217,plain,
    ! [X0] :
      ( leaf_occ(sK8(X0),X0)
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,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])],[f150,f151]) ).

fof(f151,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(f150,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,[],[f139]) ).

fof(f451,plain,
    ! [X0] :
      ( ~ leaf_occ(X0,sK3)
      | ~ occurrence_of(sK3,tptp0) ),
    inference(duplicate_literal_removal,[],[f449]) ).

fof(f449,plain,
    ! [X0] :
      ( ~ occurrence_of(sK3,tptp0)
      | ~ leaf_occ(X0,sK3)
      | ~ occurrence_of(sK3,tptp0) ),
    inference(resolution,[],[f430,f432]) ).

fof(f432,plain,
    ! [X0,X1] :
      ( ~ sP0(sK8(sK3),X0,X1)
      | ~ occurrence_of(sK3,tptp0) ),
    inference(resolution,[],[f429,f189]) ).

fof(f189,plain,
    ! [X2,X0,X1] :
      ( min_precedes(X0,sK2(X0,X1),tptp0)
      | ~ sP0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,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])],[f142,f143]) ).

fof(f143,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(f142,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,[],[f141]) ).

fof(f141,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,[],[f137]) ).

fof(f429,plain,
    ! [X0] :
      ( ~ min_precedes(sK8(sK3),X0,tptp0)
      | ~ occurrence_of(sK3,tptp0) ),
    inference(resolution,[],[f428,f218]) ).

fof(f428,plain,
    ! [X0] :
      ( ~ sP1(sK3)
      | ~ min_precedes(sK8(sK3),X0,tptp0) ),
    inference(resolution,[],[f424,f217]) ).

fof(f424,plain,
    ! [X0] :
      ( ~ leaf_occ(sK8(sK3),sK3)
      | ~ min_precedes(sK8(sK3),X0,tptp0) ),
    inference(resolution,[],[f419,f236]) ).

fof(f236,plain,
    ! [X0,X1,X4] :
      ( ~ leaf(X0,X1)
      | ~ min_precedes(X0,X4,X1) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,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])],[f162,f164,f163]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ? [X2] : min_precedes(X0,X2,X1)
     => min_precedes(X0,sK12(X0,X1),X1) ),
    introduced(choice_axiom,[]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ? [X5] : min_precedes(X5,X0,X1)
     => min_precedes(sK13(X0,X1),X0,X1) ),
    introduced(choice_axiom,[]) ).

fof(f162,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,[],[f161]) ).

fof(f161,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,[],[f160]) ).

fof(f160,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,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ! [X2] : ~ min_precedes(X0,X2,X1)
        & ( ? [X3] : min_precedes(X3,X0,X1)
          | root(X0,X1) ) ) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ~ ? [X2] : min_precedes(X0,X2,X1)
        & ( ? [X3] : min_precedes(X3,X0,X1)
          | root(X0,X1) ) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X56,X57] :
      ( leaf(X56,X57)
    <=> ( ~ ? [X59] : min_precedes(X56,X59,X57)
        & ( ? [X58] : min_precedes(X58,X56,X57)
          | root(X56,X57) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).

fof(f419,plain,
    ( leaf(sK8(sK3),tptp0)
    | ~ leaf_occ(sK8(sK3),sK3) ),
    inference(superposition,[],[f244,f418]) ).

fof(f418,plain,
    tptp0 = sK15(sK8(sK3),sK3),
    inference(resolution,[],[f408,f190]) ).

fof(f408,plain,
    ( ~ occurrence_of(sK3,tptp0)
    | tptp0 = sK15(sK8(sK3),sK3) ),
    inference(resolution,[],[f402,f218]) ).

fof(f402,plain,
    ( ~ sP1(sK3)
    | tptp0 = sK15(sK8(sK3),sK3) ),
    inference(resolution,[],[f387,f217]) ).

fof(f387,plain,
    ! [X0] :
      ( ~ leaf_occ(X0,sK3)
      | tptp0 = sK15(X0,sK3) ),
    inference(resolution,[],[f366,f242]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( occurrence_of(X1,sK15(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,sK15(X0,X1))
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,sK15(X0,X1)) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f169,f170]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( leaf(X0,X3)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X3) )
     => ( leaf(X0,sK15(X0,X1))
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,sK15(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,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
    <=> ? [X2] :
          ( leaf(X0,X2)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X2) ) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X102,X103] :
      ( leaf_occ(X102,X103)
    <=> ? [X104] :
          ( leaf(X102,X104)
          & subactivity_occurrence(X102,X103)
          & occurrence_of(X103,X104) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).

fof(f366,plain,
    ! [X0] :
      ( ~ occurrence_of(sK3,X0)
      | tptp0 = X0 ),
    inference(resolution,[],[f268,f190]) ).

fof(f268,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X2)
        & occurrence_of(X0,X1) )
     => X1 = X2 ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X4,X5,X6] :
      ( ( occurrence_of(X4,X6)
        & occurrence_of(X4,X5) )
     => X5 = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).

fof(f244,plain,
    ! [X0,X1] :
      ( leaf(X0,sK15(X0,X1))
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f430,plain,
    ! [X0] :
      ( sP0(sK8(sK3),sK3,X0)
      | ~ occurrence_of(sK3,tptp0)
      | ~ leaf_occ(X0,sK3) ),
    inference(resolution,[],[f429,f194]) ).

fof(f194,plain,
    ! [X2,X1] :
      ( min_precedes(X1,sK4(X1),tptp0)
      | sP0(X1,sK3,X2)
      | ~ leaf_occ(X2,sK3) ),
    inference(cnf_transformation,[],[f147]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : PRO011+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 20:36:07 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (19553)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.36  % (19556)WARNING: value z3 for option sas not known
% 0.18/0.36  % (19560)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)
% 0.18/0.36  % (19558)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)
% 0.18/0.37  % (19556)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)
% 0.18/0.37  % (19557)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.37  % (19559)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)
% 0.18/0.37  % (19555)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.37  % (19554)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.37  Detected minimum model sizes of [4]
% 0.18/0.37  Detected maximum model sizes of [max]
% 0.18/0.37  TRYING [4]
% 0.18/0.37  % (19559)First to succeed.
% 0.18/0.38  % (19559)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19553"
% 0.18/0.38  % (19559)Refutation found. Thanks to Tanya!
% 0.18/0.38  % SZS status Theorem for theBenchmark
% 0.18/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.38  % (19559)------------------------------
% 0.18/0.38  % (19559)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.38  % (19559)Termination reason: Refutation
% 0.18/0.38  
% 0.18/0.38  % (19559)Memory used [KB]: 1013
% 0.18/0.38  % (19559)Time elapsed: 0.012 s
% 0.18/0.38  % (19559)Instructions burned: 19 (million)
% 0.18/0.38  % (19553)Success in time 0.028 s
%------------------------------------------------------------------------------