TSTP Solution File: SYO607+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYO607+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n017.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 : Wed Aug 31 19:51:45 EDT 2022

% Result   : Theorem 0.15s 0.49s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   93 (   3 unt;   0 def)
%            Number of atoms       :  359 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  410 ( 144   ~; 185   |;  61   &)
%                                         (  14 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   9 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-1 aty)
%            Number of variables   :  200 ( 144   !;  56   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f239,plain,
    $false,
    inference(avatar_sat_refutation,[],[f58,f66,f67,f68,f70,f97,f146,f157,f176,f206,f238]) ).

fof(f238,plain,
    ( ~ spl6_1
    | ~ spl6_6 ),
    inference(avatar_contradiction_clause,[],[f235]) ).

fof(f235,plain,
    ( $false
    | ~ spl6_1
    | ~ spl6_6 ),
    inference(resolution,[],[f219,f48]) ).

fof(f48,plain,
    ( g_false_only(sK1,sK2)
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f46,plain,
    ( spl6_1
  <=> g_false_only(sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f219,plain,
    ( ! [X0] : ~ g_false_only(sK1,X0)
    | ~ spl6_6 ),
    inference(resolution,[],[f65,f40]) ).

fof(f40,plain,
    ! [X2,X3] :
      ( ~ g_false_only(a,X2)
      | ~ g_false_only(X2,X3) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ( ! [X0] : ~ g_true_only(X0,sK0(X0))
    & ! [X2] :
        ( ! [X3] : ~ g_false_only(X2,X3)
        | ~ g_false_only(a,X2) )
    & ( ( g_false_only(sK1,sK2)
        & g_false_only(a,sK1) )
      | ! [X7] : g_true_only(sK3,X7)
      | ! [X8] :
          ( g_false_only(X8,sK4(X8))
          | ! [X10] : ~ g_both(X8,X10) )
      | ! [X11] :
          ( ( ( g_false_only(X11,sK5(X11))
              | ! [X13] : ~ g_both(X11,X13) )
            & ~ g_both(a,X11) )
          | g_true_only(a,X11)
          | ! [X14] : g_true_only(X11,X14) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f18,f24,f23,f22,f21,f20,f19]) ).

fof(f19,plain,
    ! [X0] :
      ( ? [X1] : ~ g_true_only(X0,X1)
     => ~ g_true_only(X0,sK0(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ( ? [X4] :
        ( ? [X5] : g_false_only(X4,X5)
        & g_false_only(a,X4) )
   => ( ? [X5] : g_false_only(sK1,X5)
      & g_false_only(a,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f21,plain,
    ( ? [X5] : g_false_only(sK1,X5)
   => g_false_only(sK1,sK2) ),
    introduced(choice_axiom,[]) ).

fof(f22,plain,
    ( ? [X6] :
      ! [X7] : g_true_only(X6,X7)
   => ! [X7] : g_true_only(sK3,X7) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ! [X8] :
      ( ? [X9] : g_false_only(X8,X9)
     => g_false_only(X8,sK4(X8)) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ! [X11] :
      ( ? [X12] : g_false_only(X11,X12)
     => g_false_only(X11,sK5(X11)) ),
    introduced(choice_axiom,[]) ).

fof(f18,plain,
    ( ! [X0] :
      ? [X1] : ~ g_true_only(X0,X1)
    & ! [X2] :
        ( ! [X3] : ~ g_false_only(X2,X3)
        | ~ g_false_only(a,X2) )
    & ( ? [X4] :
          ( ? [X5] : g_false_only(X4,X5)
          & g_false_only(a,X4) )
      | ? [X6] :
        ! [X7] : g_true_only(X6,X7)
      | ! [X8] :
          ( ? [X9] : g_false_only(X8,X9)
          | ! [X10] : ~ g_both(X8,X10) )
      | ! [X11] :
          ( ( ( ? [X12] : g_false_only(X11,X12)
              | ! [X13] : ~ g_both(X11,X13) )
            & ~ g_both(a,X11) )
          | g_true_only(a,X11)
          | ! [X14] : g_true_only(X11,X14) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,plain,
    ( ! [X0] :
      ? [X1] : ~ g_true_only(X0,X1)
    & ! [X13] :
        ( ! [X14] : ~ g_false_only(X13,X14)
        | ~ g_false_only(a,X13) )
    & ( ? [X9] :
          ( ? [X10] : g_false_only(X9,X10)
          & g_false_only(a,X9) )
      | ? [X11] :
        ! [X12] : g_true_only(X11,X12)
      | ! [X6] :
          ( ? [X8] : g_false_only(X6,X8)
          | ! [X7] : ~ g_both(X6,X7) )
      | ! [X2] :
          ( ( ( ? [X5] : g_false_only(X2,X5)
              | ! [X4] : ~ g_both(X2,X4) )
            & ~ g_both(a,X2) )
          | g_true_only(a,X2)
          | ! [X3] : g_true_only(X2,X3) ) ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,plain,
    ~ ( ( ? [X6] :
            ( ~ ? [X8] : g_false_only(X6,X8)
            & ? [X7] : g_both(X6,X7) )
        & ~ ? [X11] :
            ! [X12] : g_true_only(X11,X12)
        & ? [X2] :
            ( ( ( ~ ? [X5] : g_false_only(X2,X5)
                & ? [X4] : g_both(X2,X4) )
              | g_both(a,X2) )
            & ~ ! [X3] : g_true_only(X2,X3)
            & ~ g_true_only(a,X2) )
        & ~ ? [X9] :
              ( ? [X10] : g_false_only(X9,X10)
              & g_false_only(a,X9) ) )
      | ? [X0] :
        ! [X1] : g_true_only(X0,X1)
      | ? [X13] :
          ( g_false_only(a,X13)
          & ? [X14] : g_false_only(X13,X14) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ? [X0] :
        ! [X1] : g_true_only(X0,X1)
      | ( ? [X0] :
            ( ~ ! [X1] : g_true_only(X0,X1)
            & ( ( ? [X1] : g_both(X0,X1)
                & ~ ? [X1] : g_false_only(X0,X1) )
              | g_both(a,X0) )
            & ~ g_true_only(a,X0) )
        & ? [X0] :
            ( ? [X1] : g_both(X0,X1)
            & ~ ? [X1] : g_false_only(X0,X1) )
        & ~ ? [X0] :
              ( ? [X1] : g_false_only(X0,X1)
              & g_false_only(a,X0) )
        & ~ ? [X0] :
            ! [X1] : g_true_only(X0,X1) )
      | ? [X0] :
          ( ? [X1] : g_false_only(X0,X1)
          & g_false_only(a,X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ? [X0] :
      ! [X1] : g_true_only(X0,X1)
    | ( ? [X0] :
          ( ~ ! [X1] : g_true_only(X0,X1)
          & ( ( ? [X1] : g_both(X0,X1)
              & ~ ? [X1] : g_false_only(X0,X1) )
            | g_both(a,X0) )
          & ~ g_true_only(a,X0) )
      & ? [X0] :
          ( ? [X1] : g_both(X0,X1)
          & ~ ? [X1] : g_false_only(X0,X1) )
      & ~ ? [X0] :
            ( ? [X1] : g_false_only(X0,X1)
            & g_false_only(a,X0) )
      & ~ ? [X0] :
          ! [X1] : g_true_only(X0,X1) )
    | ? [X0] :
        ( ? [X1] : g_false_only(X0,X1)
        & g_false_only(a,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc6) ).

fof(f65,plain,
    ( g_false_only(a,sK1)
    | ~ spl6_6 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f63,plain,
    ( spl6_6
  <=> g_false_only(a,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).

fof(f206,plain,
    ( ~ spl6_3
    | ~ spl6_8 ),
    inference(avatar_contradiction_clause,[],[f203]) ).

fof(f203,plain,
    ( $false
    | ~ spl6_3
    | ~ spl6_8 ),
    inference(resolution,[],[f202,f172]) ).

fof(f172,plain,
    ( g_false_only(a,sK4(a))
    | ~ spl6_3
    | ~ spl6_8 ),
    inference(resolution,[],[f54,f96]) ).

fof(f96,plain,
    ( g_both(a,sK0(a))
    | ~ spl6_8 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl6_8
  <=> g_both(a,sK0(a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).

fof(f54,plain,
    ( ! [X10,X8] :
        ( ~ g_both(X8,X10)
        | g_false_only(X8,sK4(X8)) )
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f53,plain,
    ( spl6_3
  <=> ! [X8,X10] :
        ( ~ g_both(X8,X10)
        | g_false_only(X8,sK4(X8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f202,plain,
    ( ! [X1] : ~ g_false_only(a,X1)
    | ~ spl6_3 ),
    inference(resolution,[],[f200,f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ g_true(X0,X1)
      | ~ g_false_only(X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( ( ~ g_true(X0,X1)
          & g_false(X0,X1) )
        | ~ g_false_only(X0,X1) )
      & ( g_false_only(X0,X1)
        | g_true(X0,X1)
        | ~ g_false(X0,X1) ) ),
    inference(rectify,[],[f27]) ).

fof(f27,plain,
    ! [X1,X0] :
      ( ( ( ~ g_true(X1,X0)
          & g_false(X1,X0) )
        | ~ g_false_only(X1,X0) )
      & ( g_false_only(X1,X0)
        | g_true(X1,X0)
        | ~ g_false(X1,X0) ) ),
    inference(flattening,[],[f26]) ).

fof(f26,plain,
    ! [X1,X0] :
      ( ( ( ~ g_true(X1,X0)
          & g_false(X1,X0) )
        | ~ g_false_only(X1,X0) )
      & ( g_false_only(X1,X0)
        | g_true(X1,X0)
        | ~ g_false(X1,X0) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X1,X0] :
      ( ( ~ g_true(X1,X0)
        & g_false(X1,X0) )
    <=> g_false_only(X1,X0) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X3,X2] :
      ( ( g_false(X2,X3)
        & ~ g_true(X2,X3) )
    <=> g_false_only(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_g) ).

fof(f200,plain,
    ( ! [X0] : g_true(a,X0)
    | ~ spl6_3 ),
    inference(subsumption_resolution,[],[f199,f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ~ g_both(X0,X1)
      | g_true(X0,X1) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ( ( g_false(X0,X1)
          & g_true(X0,X1) )
        | ~ g_both(X0,X1) )
      & ( g_both(X0,X1)
        | ~ g_false(X0,X1)
        | ~ g_true(X0,X1) ) ),
    inference(flattening,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ( ( g_false(X0,X1)
          & g_true(X0,X1) )
        | ~ g_both(X0,X1) )
      & ( g_both(X0,X1)
        | ~ g_false(X0,X1)
        | ~ g_true(X0,X1) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ( g_false(X0,X1)
        & g_true(X0,X1) )
    <=> g_both(X0,X1) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X3] :
      ( ( g_false(X2,X3)
        & g_true(X2,X3) )
    <=> g_both(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_g) ).

fof(f199,plain,
    ( ! [X0] :
        ( g_true(a,X0)
        | g_both(a,X0) )
    | ~ spl6_3 ),
    inference(resolution,[],[f173,f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ g_true_only(X1,X0)
      | g_true(X1,X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ( ( g_true(X1,X0)
          & ~ g_false(X1,X0) )
        | ~ g_true_only(X1,X0) )
      & ( g_true_only(X1,X0)
        | ~ g_true(X1,X0)
        | g_false(X1,X0) ) ),
    inference(flattening,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ( ( g_true(X1,X0)
          & ~ g_false(X1,X0) )
        | ~ g_true_only(X1,X0) )
      & ( g_true_only(X1,X0)
        | ~ g_true(X1,X0)
        | g_false(X1,X0) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ( g_true(X1,X0)
        & ~ g_false(X1,X0) )
    <=> g_true_only(X1,X0) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X3,X2] :
      ( ( g_true(X2,X3)
        & ~ g_false(X2,X3) )
    <=> g_true_only(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_g) ).

fof(f173,plain,
    ( ! [X0] :
        ( g_true_only(a,X0)
        | g_both(a,X0) )
    | ~ spl6_3 ),
    inference(subsumption_resolution,[],[f171,f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ g_false_only(X0,X1)
      | g_true_only(a,X0)
      | g_both(a,X0) ),
    inference(resolution,[],[f29,f40]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( g_false_only(X0,X1)
      | g_true_only(X0,X1)
      | g_both(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( g_false_only(X0,X1)
      | g_both(X0,X1)
      | g_true_only(X0,X1) ),
    inference(rectify,[],[f8]) ).

fof(f8,plain,
    ! [X1,X0] :
      ( g_false_only(X1,X0)
      | g_both(X1,X0)
      | g_true_only(X1,X0) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X3,X2] :
      ( g_both(X2,X3)
      | g_false_only(X2,X3)
      | g_true_only(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).

fof(f171,plain,
    ( ! [X0] :
        ( g_true_only(a,X0)
        | g_both(a,X0)
        | g_false_only(X0,sK4(X0)) )
    | ~ spl6_3 ),
    inference(resolution,[],[f54,f86]) ).

fof(f86,plain,
    ! [X0] :
      ( g_both(X0,sK0(X0))
      | g_both(a,X0)
      | g_true_only(a,X0) ),
    inference(resolution,[],[f83,f41]) ).

fof(f41,plain,
    ! [X0] : ~ g_true_only(X0,sK0(X0)),
    inference(cnf_transformation,[],[f25]) ).

fof(f83,plain,
    ! [X2,X3] :
      ( g_true_only(a,X2)
      | g_true_only(X2,X3)
      | g_both(a,X2)
      | g_both(X2,X3) ),
    inference(resolution,[],[f71,f29]) ).

fof(f176,plain,
    ( ~ spl6_5
    | ~ spl6_8 ),
    inference(avatar_contradiction_clause,[],[f174]) ).

fof(f174,plain,
    ( $false
    | ~ spl6_5
    | ~ spl6_8 ),
    inference(resolution,[],[f165,f41]) ).

fof(f165,plain,
    ( ! [X0] : g_true_only(sK0(a),X0)
    | ~ spl6_5
    | ~ spl6_8 ),
    inference(subsumption_resolution,[],[f162,f41]) ).

fof(f162,plain,
    ( ! [X0] :
        ( g_true_only(a,sK0(a))
        | g_true_only(sK0(a),X0) )
    | ~ spl6_5
    | ~ spl6_8 ),
    inference(resolution,[],[f96,f61]) ).

fof(f61,plain,
    ( ! [X11,X14] :
        ( ~ g_both(a,X11)
        | g_true_only(a,X11)
        | g_true_only(X11,X14) )
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl6_5
  <=> ! [X11,X14] :
        ( g_true_only(a,X11)
        | ~ g_both(a,X11)
        | g_true_only(X11,X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f157,plain,
    ( ~ spl6_4
    | ~ spl6_7 ),
    inference(avatar_contradiction_clause,[],[f155]) ).

fof(f155,plain,
    ( $false
    | ~ spl6_4
    | ~ spl6_7 ),
    inference(resolution,[],[f154,f41]) ).

fof(f154,plain,
    ( ! [X2] : g_true_only(sK0(a),X2)
    | ~ spl6_4
    | ~ spl6_7 ),
    inference(subsumption_resolution,[],[f153,f122]) ).

fof(f122,plain,
    ( ! [X1] : ~ g_false_only(sK0(a),X1)
    | ~ spl6_7 ),
    inference(resolution,[],[f116,f44]) ).

fof(f116,plain,
    ( ! [X0] : g_true(sK0(a),X0)
    | ~ spl6_7 ),
    inference(subsumption_resolution,[],[f115,f31]) ).

fof(f115,plain,
    ( ! [X0] :
        ( g_true(sK0(a),X0)
        | g_both(sK0(a),X0) )
    | ~ spl6_7 ),
    inference(resolution,[],[f92,f35]) ).

fof(f92,plain,
    ( ! [X0] :
        ( g_true_only(sK0(a),X0)
        | g_both(sK0(a),X0) )
    | ~ spl6_7 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl6_7
  <=> ! [X0] :
        ( g_true_only(sK0(a),X0)
        | g_both(sK0(a),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).

fof(f153,plain,
    ( ! [X2] :
        ( g_false_only(sK0(a),sK5(sK0(a)))
        | g_true_only(sK0(a),X2) )
    | ~ spl6_4
    | ~ spl6_7 ),
    inference(subsumption_resolution,[],[f149,f41]) ).

fof(f149,plain,
    ( ! [X2] :
        ( g_true_only(a,sK0(a))
        | g_false_only(sK0(a),sK5(sK0(a)))
        | g_true_only(sK0(a),X2) )
    | ~ spl6_4
    | ~ spl6_7 ),
    inference(resolution,[],[f57,f114]) ).

fof(f114,plain,
    ( g_both(sK0(a),sK0(sK0(a)))
    | ~ spl6_7 ),
    inference(resolution,[],[f92,f41]) ).

fof(f57,plain,
    ( ! [X11,X14,X13] :
        ( ~ g_both(X11,X13)
        | g_false_only(X11,sK5(X11))
        | g_true_only(a,X11)
        | g_true_only(X11,X14) )
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f56,plain,
    ( spl6_4
  <=> ! [X13,X11,X14] :
        ( g_true_only(a,X11)
        | g_true_only(X11,X14)
        | g_false_only(X11,sK5(X11))
        | ~ g_both(X11,X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f146,plain,
    ( ~ spl6_3
    | ~ spl6_7 ),
    inference(avatar_contradiction_clause,[],[f145]) ).

fof(f145,plain,
    ( $false
    | ~ spl6_3
    | ~ spl6_7 ),
    inference(subsumption_resolution,[],[f142,f122]) ).

fof(f142,plain,
    ( g_false_only(sK0(a),sK4(sK0(a)))
    | ~ spl6_3
    | ~ spl6_7 ),
    inference(resolution,[],[f114,f54]) ).

fof(f97,plain,
    ( spl6_7
    | spl6_8 ),
    inference(avatar_split_clause,[],[f84,f94,f91]) ).

fof(f84,plain,
    ! [X0] :
      ( g_both(a,sK0(a))
      | g_true_only(sK0(a),X0)
      | g_both(sK0(a),X0) ),
    inference(resolution,[],[f83,f41]) ).

fof(f70,plain,
    ~ spl6_2,
    inference(avatar_contradiction_clause,[],[f69]) ).

fof(f69,plain,
    ( $false
    | ~ spl6_2 ),
    inference(resolution,[],[f41,f51]) ).

fof(f51,plain,
    ( ! [X7] : g_true_only(sK3,X7)
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl6_2
  <=> ! [X7] : g_true_only(sK3,X7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f68,plain,
    ( spl6_1
    | spl6_3
    | spl6_2
    | spl6_5 ),
    inference(avatar_split_clause,[],[f38,f60,f50,f53,f46]) ).

fof(f38,plain,
    ! [X10,X11,X8,X7,X14] :
      ( g_true_only(X11,X14)
      | g_true_only(sK3,X7)
      | ~ g_both(X8,X10)
      | g_false_only(X8,sK4(X8))
      | g_true_only(a,X11)
      | g_false_only(sK1,sK2)
      | ~ g_both(a,X11) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f67,plain,
    ( spl6_2
    | spl6_4
    | spl6_3
    | spl6_6 ),
    inference(avatar_split_clause,[],[f37,f63,f53,f56,f50]) ).

fof(f37,plain,
    ! [X10,X11,X8,X7,X14,X13] :
      ( g_false_only(a,sK1)
      | ~ g_both(X8,X10)
      | g_false_only(X11,sK5(X11))
      | g_false_only(X8,sK4(X8))
      | g_true_only(a,X11)
      | g_true_only(X11,X14)
      | g_true_only(sK3,X7)
      | ~ g_both(X11,X13) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f66,plain,
    ( spl6_2
    | spl6_5
    | spl6_3
    | spl6_6 ),
    inference(avatar_split_clause,[],[f36,f63,f53,f60,f50]) ).

fof(f36,plain,
    ! [X10,X11,X8,X7,X14] :
      ( g_false_only(a,sK1)
      | g_false_only(X8,sK4(X8))
      | ~ g_both(X8,X10)
      | g_true_only(a,X11)
      | g_true_only(X11,X14)
      | ~ g_both(a,X11)
      | g_true_only(sK3,X7) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f58,plain,
    ( spl6_1
    | spl6_2
    | spl6_3
    | spl6_4 ),
    inference(avatar_split_clause,[],[f39,f56,f53,f50,f46]) ).

fof(f39,plain,
    ! [X10,X11,X8,X7,X14,X13] :
      ( g_true_only(a,X11)
      | ~ g_both(X8,X10)
      | ~ g_both(X11,X13)
      | g_true_only(sK3,X7)
      | g_false_only(X11,sK5(X11))
      | g_false_only(X8,sK4(X8))
      | g_true_only(X11,X14)
      | g_false_only(sK1,sK2) ),
    inference(cnf_transformation,[],[f25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SYO607+1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n017.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 22:31:05 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.15/0.46  % (23395)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.15/0.46  % (23394)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.15/0.47  % (23386)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.15/0.47  % (23387)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.15/0.48  TRYING [1]
% 0.15/0.48  TRYING [2]
% 0.15/0.48  % (23387)First to succeed.
% 0.15/0.48  TRYING [3]
% 0.15/0.49  TRYING [4]
% 0.15/0.49  % (23403)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.15/0.49  % (23402)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.15/0.49  % (23387)Refutation found. Thanks to Tanya!
% 0.15/0.49  % SZS status Theorem for theBenchmark
% 0.15/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49  % (23387)------------------------------
% 0.15/0.49  % (23387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (23387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (23387)Termination reason: Refutation
% 0.15/0.49  
% 0.15/0.49  % (23387)Memory used [KB]: 5500
% 0.15/0.49  % (23387)Time elapsed: 0.118 s
% 0.15/0.49  % (23387)Instructions burned: 6 (million)
% 0.15/0.49  % (23387)------------------------------
% 0.15/0.49  % (23387)------------------------------
% 0.15/0.49  % (23379)Success in time 0.176 s
%------------------------------------------------------------------------------