TSTP Solution File: SYN007+1.014 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN007+1.014 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 : Fri May  3 03:28:34 EDT 2024

% Result   : Theorem 0.48s 1.16s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  274 (   1 unt;   0 def)
%            Number of atoms       : 1161 (   0 equ)
%            Maximal formula atoms :   46 (   4 avg)
%            Number of connectives : 1388 ( 501   ~; 670   |;  85   &)
%                                         ( 130 <=>;   0  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   29 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   39 (  38 usr;  39 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( p_1
  <=> ( p_2
    <=> ( p_3
      <=> ( p_4
        <=> ( p_5
          <=> ( p_6
            <=> ( p_7
              <=> ( p_8
                <=> ( p_9
                  <=> ( p_10
                    <=> ( p_11
                      <=> ( p_12
                        <=> ( p_13
                          <=> ( p_14
                            <=> ( p_1
                              <=> ( p_2
                                <=> ( p_3
                                  <=> ( p_4
                                    <=> ( p_5
                                      <=> ( p_6
                                        <=> ( p_7
                                          <=> ( p_8
                                            <=> ( p_9
                                              <=> ( p_10
                                                <=> ( p_11
                                                  <=> ( p_12
                                                    <=> ( p_13
                                                      <=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f2,negated_conjecture,
    ~ ( p_1
    <=> ( p_2
      <=> ( p_3
        <=> ( p_4
          <=> ( p_5
            <=> ( p_6
              <=> ( p_7
                <=> ( p_8
                  <=> ( p_9
                    <=> ( p_10
                      <=> ( p_11
                        <=> ( p_12
                          <=> ( p_13
                            <=> ( p_14
                              <=> ( p_1
                                <=> ( p_2
                                  <=> ( p_3
                                    <=> ( p_4
                                      <=> ( p_5
                                        <=> ( p_6
                                          <=> ( p_7
                                            <=> ( p_8
                                              <=> ( p_9
                                                <=> ( p_10
                                                  <=> ( p_11
                                                    <=> ( p_12
                                                      <=> ( p_13
                                                        <=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ( p_1
  <~> ( p_2
    <=> ( p_3
      <=> ( p_4
        <=> ( p_5
          <=> ( p_6
            <=> ( p_7
              <=> ( p_8
                <=> ( p_9
                  <=> ( p_10
                    <=> ( p_11
                      <=> ( p_12
                        <=> ( p_13
                          <=> ( p_14
                            <=> ( p_1
                              <=> ( p_2
                                <=> ( p_3
                                  <=> ( p_4
                                    <=> ( p_5
                                      <=> ( p_6
                                        <=> ( p_7
                                          <=> ( p_8
                                            <=> ( p_9
                                              <=> ( p_10
                                                <=> ( p_11
                                                  <=> ( p_12
                                                    <=> ( p_13
                                                      <=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f4,plain,
    ( sP0
  <=> ( p_11
    <=> ( p_12
      <=> ( p_13
        <=> p_14 ) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f5,plain,
    ( sP1
  <=> ( p_10
    <=> sP0 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f6,plain,
    ( sP2
  <=> ( p_9
    <=> sP1 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f7,plain,
    ( sP3
  <=> ( p_8
    <=> sP2 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f8,plain,
    ( sP4
  <=> ( p_7
    <=> sP3 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f9,plain,
    ( sP5
  <=> ( p_6
    <=> sP4 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f10,plain,
    ( sP6
  <=> ( p_5
    <=> sP5 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f11,plain,
    ( sP7
  <=> ( p_4
    <=> sP6 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f12,plain,
    ( sP8
  <=> ( p_3
    <=> sP7 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f13,plain,
    ( sP9
  <=> ( p_2
    <=> sP8 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f14,plain,
    ( sP10
  <=> ( p_1
    <=> sP9 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f15,plain,
    ( sP11
  <=> ( p_14
    <=> sP10 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f16,plain,
    ( sP12
  <=> ( p_13
    <=> sP11 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).

fof(f17,plain,
    ( sP13
  <=> ( p_12
    <=> sP12 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).

fof(f18,plain,
    ( sP14
  <=> ( p_11
    <=> sP13 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).

fof(f19,plain,
    ( sP15
  <=> ( p_10
    <=> sP14 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).

fof(f20,plain,
    ( sP16
  <=> ( p_9
    <=> sP15 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f21,plain,
    ( sP17
  <=> ( p_8
    <=> sP16 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f22,plain,
    ( sP18
  <=> ( p_7
    <=> sP17 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).

fof(f23,plain,
    ( sP19
  <=> ( p_6
    <=> sP18 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).

fof(f24,plain,
    ( sP20
  <=> ( p_5
    <=> sP19 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).

fof(f25,plain,
    ( sP21
  <=> ( p_4
    <=> sP20 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).

fof(f26,plain,
    ( sP22
  <=> ( p_3
    <=> sP21 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).

fof(f27,plain,
    ( sP23
  <=> ( p_2
    <=> sP22 ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).

fof(f28,plain,
    ( p_1
  <~> sP23 ),
    inference(definition_folding,[],[f3,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6,f5,f4]) ).

fof(f29,plain,
    ( ( sP23
      | ( ( ~ sP22
          | ~ p_2 )
        & ( sP22
          | p_2 ) ) )
    & ( ( ( p_2
          | ~ sP22 )
        & ( sP22
          | ~ p_2 ) )
      | ~ sP23 ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f30,plain,
    ( ( sP22
      | ( ( ~ sP21
          | ~ p_3 )
        & ( sP21
          | p_3 ) ) )
    & ( ( ( p_3
          | ~ sP21 )
        & ( sP21
          | ~ p_3 ) )
      | ~ sP22 ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f31,plain,
    ( ( sP21
      | ( ( ~ sP20
          | ~ p_4 )
        & ( sP20
          | p_4 ) ) )
    & ( ( ( p_4
          | ~ sP20 )
        & ( sP20
          | ~ p_4 ) )
      | ~ sP21 ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f32,plain,
    ( ( sP20
      | ( ( ~ sP19
          | ~ p_5 )
        & ( sP19
          | p_5 ) ) )
    & ( ( ( p_5
          | ~ sP19 )
        & ( sP19
          | ~ p_5 ) )
      | ~ sP20 ) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f33,plain,
    ( ( sP19
      | ( ( ~ sP18
          | ~ p_6 )
        & ( sP18
          | p_6 ) ) )
    & ( ( ( p_6
          | ~ sP18 )
        & ( sP18
          | ~ p_6 ) )
      | ~ sP19 ) ),
    inference(nnf_transformation,[],[f23]) ).

fof(f34,plain,
    ( ( sP18
      | ( ( ~ sP17
          | ~ p_7 )
        & ( sP17
          | p_7 ) ) )
    & ( ( ( p_7
          | ~ sP17 )
        & ( sP17
          | ~ p_7 ) )
      | ~ sP18 ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f35,plain,
    ( ( sP17
      | ( ( ~ sP16
          | ~ p_8 )
        & ( sP16
          | p_8 ) ) )
    & ( ( ( p_8
          | ~ sP16 )
        & ( sP16
          | ~ p_8 ) )
      | ~ sP17 ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f36,plain,
    ( ( sP16
      | ( ( ~ sP15
          | ~ p_9 )
        & ( sP15
          | p_9 ) ) )
    & ( ( ( p_9
          | ~ sP15 )
        & ( sP15
          | ~ p_9 ) )
      | ~ sP16 ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f37,plain,
    ( ( sP15
      | ( ( ~ sP14
          | ~ p_10 )
        & ( sP14
          | p_10 ) ) )
    & ( ( ( p_10
          | ~ sP14 )
        & ( sP14
          | ~ p_10 ) )
      | ~ sP15 ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f38,plain,
    ( ( sP14
      | ( ( ~ sP13
          | ~ p_11 )
        & ( sP13
          | p_11 ) ) )
    & ( ( ( p_11
          | ~ sP13 )
        & ( sP13
          | ~ p_11 ) )
      | ~ sP14 ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f39,plain,
    ( ( sP13
      | ( ( ~ sP12
          | ~ p_12 )
        & ( sP12
          | p_12 ) ) )
    & ( ( ( p_12
          | ~ sP12 )
        & ( sP12
          | ~ p_12 ) )
      | ~ sP13 ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f40,plain,
    ( ( sP12
      | ( ( ~ sP11
          | ~ p_13 )
        & ( sP11
          | p_13 ) ) )
    & ( ( ( p_13
          | ~ sP11 )
        & ( sP11
          | ~ p_13 ) )
      | ~ sP12 ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f41,plain,
    ( ( sP11
      | ( ( ~ sP10
          | ~ p_14 )
        & ( sP10
          | p_14 ) ) )
    & ( ( ( p_14
          | ~ sP10 )
        & ( sP10
          | ~ p_14 ) )
      | ~ sP11 ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f42,plain,
    ( ( sP10
      | ( ( ~ sP9
          | ~ p_1 )
        & ( sP9
          | p_1 ) ) )
    & ( ( ( p_1
          | ~ sP9 )
        & ( sP9
          | ~ p_1 ) )
      | ~ sP10 ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f43,plain,
    ( ( sP9
      | ( ( ~ sP8
          | ~ p_2 )
        & ( sP8
          | p_2 ) ) )
    & ( ( ( p_2
          | ~ sP8 )
        & ( sP8
          | ~ p_2 ) )
      | ~ sP9 ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f44,plain,
    ( ( sP8
      | ( ( ~ sP7
          | ~ p_3 )
        & ( sP7
          | p_3 ) ) )
    & ( ( ( p_3
          | ~ sP7 )
        & ( sP7
          | ~ p_3 ) )
      | ~ sP8 ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f45,plain,
    ( ( sP7
      | ( ( ~ sP6
          | ~ p_4 )
        & ( sP6
          | p_4 ) ) )
    & ( ( ( p_4
          | ~ sP6 )
        & ( sP6
          | ~ p_4 ) )
      | ~ sP7 ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f46,plain,
    ( ( sP6
      | ( ( ~ sP5
          | ~ p_5 )
        & ( sP5
          | p_5 ) ) )
    & ( ( ( p_5
          | ~ sP5 )
        & ( sP5
          | ~ p_5 ) )
      | ~ sP6 ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f47,plain,
    ( ( sP5
      | ( ( ~ sP4
          | ~ p_6 )
        & ( sP4
          | p_6 ) ) )
    & ( ( ( p_6
          | ~ sP4 )
        & ( sP4
          | ~ p_6 ) )
      | ~ sP5 ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f48,plain,
    ( ( sP4
      | ( ( ~ sP3
          | ~ p_7 )
        & ( sP3
          | p_7 ) ) )
    & ( ( ( p_7
          | ~ sP3 )
        & ( sP3
          | ~ p_7 ) )
      | ~ sP4 ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f49,plain,
    ( ( sP3
      | ( ( ~ sP2
          | ~ p_8 )
        & ( sP2
          | p_8 ) ) )
    & ( ( ( p_8
          | ~ sP2 )
        & ( sP2
          | ~ p_8 ) )
      | ~ sP3 ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f50,plain,
    ( ( sP2
      | ( ( ~ sP1
          | ~ p_9 )
        & ( sP1
          | p_9 ) ) )
    & ( ( ( p_9
          | ~ sP1 )
        & ( sP1
          | ~ p_9 ) )
      | ~ sP2 ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f51,plain,
    ( ( sP1
      | ( ( ~ sP0
          | ~ p_10 )
        & ( sP0
          | p_10 ) ) )
    & ( ( ( p_10
          | ~ sP0 )
        & ( sP0
          | ~ p_10 ) )
      | ~ sP1 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f52,plain,
    ( ( sP0
      | ( ( ( ( ( ( ~ p_14
                  | ~ p_13 )
                & ( p_14
                  | p_13 ) )
              | ~ p_12 )
            & ( ( ( p_13
                  | ~ p_14 )
                & ( p_14
                  | ~ p_13 ) )
              | p_12 ) )
          | ~ p_11 )
        & ( ( ( p_12
              | ( ( ~ p_14
                  | ~ p_13 )
                & ( p_14
                  | p_13 ) ) )
            & ( ( ( p_13
                  | ~ p_14 )
                & ( p_14
                  | ~ p_13 ) )
              | ~ p_12 ) )
          | p_11 ) ) )
    & ( ( ( p_11
          | ( ( ( ( ~ p_14
                  | ~ p_13 )
                & ( p_14
                  | p_13 ) )
              | ~ p_12 )
            & ( ( ( p_13
                  | ~ p_14 )
                & ( p_14
                  | ~ p_13 ) )
              | p_12 ) ) )
        & ( ( ( p_12
              | ( ( ~ p_14
                  | ~ p_13 )
                & ( p_14
                  | p_13 ) ) )
            & ( ( ( p_13
                  | ~ p_14 )
                & ( p_14
                  | ~ p_13 ) )
              | ~ p_12 ) )
          | ~ p_11 ) )
      | ~ sP0 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f53,plain,
    ( ( ~ sP23
      | ~ p_1 )
    & ( sP23
      | p_1 ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f54,plain,
    ( sP22
    | ~ p_2
    | ~ sP23 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f55,plain,
    ( p_2
    | ~ sP22
    | ~ sP23 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f56,plain,
    ( sP23
    | sP22
    | p_2 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f57,plain,
    ( sP23
    | ~ sP22
    | ~ p_2 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f58,plain,
    ( sP21
    | ~ p_3
    | ~ sP22 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f59,plain,
    ( p_3
    | ~ sP21
    | ~ sP22 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f60,plain,
    ( sP22
    | sP21
    | p_3 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f61,plain,
    ( sP22
    | ~ sP21
    | ~ p_3 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f62,plain,
    ( sP20
    | ~ p_4
    | ~ sP21 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f63,plain,
    ( p_4
    | ~ sP20
    | ~ sP21 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f64,plain,
    ( sP21
    | sP20
    | p_4 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f65,plain,
    ( sP21
    | ~ sP20
    | ~ p_4 ),
    inference(cnf_transformation,[],[f31]) ).

fof(f66,plain,
    ( sP19
    | ~ p_5
    | ~ sP20 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f67,plain,
    ( p_5
    | ~ sP19
    | ~ sP20 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f68,plain,
    ( sP20
    | sP19
    | p_5 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f69,plain,
    ( sP20
    | ~ sP19
    | ~ p_5 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f70,plain,
    ( sP18
    | ~ p_6
    | ~ sP19 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f71,plain,
    ( p_6
    | ~ sP18
    | ~ sP19 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f72,plain,
    ( sP19
    | sP18
    | p_6 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f73,plain,
    ( sP19
    | ~ sP18
    | ~ p_6 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f74,plain,
    ( sP17
    | ~ p_7
    | ~ sP18 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f75,plain,
    ( p_7
    | ~ sP17
    | ~ sP18 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f76,plain,
    ( sP18
    | sP17
    | p_7 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f77,plain,
    ( sP18
    | ~ sP17
    | ~ p_7 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f78,plain,
    ( sP16
    | ~ p_8
    | ~ sP17 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f79,plain,
    ( p_8
    | ~ sP16
    | ~ sP17 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f80,plain,
    ( sP17
    | sP16
    | p_8 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f81,plain,
    ( sP17
    | ~ sP16
    | ~ p_8 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f82,plain,
    ( sP15
    | ~ p_9
    | ~ sP16 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f83,plain,
    ( p_9
    | ~ sP15
    | ~ sP16 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f84,plain,
    ( sP16
    | sP15
    | p_9 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f85,plain,
    ( sP16
    | ~ sP15
    | ~ p_9 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f86,plain,
    ( sP14
    | ~ p_10
    | ~ sP15 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f87,plain,
    ( p_10
    | ~ sP14
    | ~ sP15 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f88,plain,
    ( sP15
    | sP14
    | p_10 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f89,plain,
    ( sP15
    | ~ sP14
    | ~ p_10 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f90,plain,
    ( sP13
    | ~ p_11
    | ~ sP14 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f91,plain,
    ( p_11
    | ~ sP13
    | ~ sP14 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f92,plain,
    ( sP14
    | sP13
    | p_11 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f93,plain,
    ( sP14
    | ~ sP13
    | ~ p_11 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f94,plain,
    ( sP12
    | ~ p_12
    | ~ sP13 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f95,plain,
    ( p_12
    | ~ sP12
    | ~ sP13 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f96,plain,
    ( sP13
    | sP12
    | p_12 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f97,plain,
    ( sP13
    | ~ sP12
    | ~ p_12 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f98,plain,
    ( sP11
    | ~ p_13
    | ~ sP12 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f99,plain,
    ( p_13
    | ~ sP11
    | ~ sP12 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f100,plain,
    ( sP12
    | sP11
    | p_13 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f101,plain,
    ( sP12
    | ~ sP11
    | ~ p_13 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f102,plain,
    ( sP10
    | ~ p_14
    | ~ sP11 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f103,plain,
    ( p_14
    | ~ sP10
    | ~ sP11 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f104,plain,
    ( sP11
    | sP10
    | p_14 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f105,plain,
    ( sP11
    | ~ sP10
    | ~ p_14 ),
    inference(cnf_transformation,[],[f41]) ).

fof(f106,plain,
    ( sP9
    | ~ p_1
    | ~ sP10 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f107,plain,
    ( p_1
    | ~ sP9
    | ~ sP10 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f108,plain,
    ( sP10
    | sP9
    | p_1 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f109,plain,
    ( sP10
    | ~ sP9
    | ~ p_1 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f110,plain,
    ( sP8
    | ~ p_2
    | ~ sP9 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f111,plain,
    ( p_2
    | ~ sP8
    | ~ sP9 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f112,plain,
    ( sP9
    | sP8
    | p_2 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f113,plain,
    ( sP9
    | ~ sP8
    | ~ p_2 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f114,plain,
    ( sP7
    | ~ p_3
    | ~ sP8 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f115,plain,
    ( p_3
    | ~ sP7
    | ~ sP8 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f116,plain,
    ( sP8
    | sP7
    | p_3 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f117,plain,
    ( sP8
    | ~ sP7
    | ~ p_3 ),
    inference(cnf_transformation,[],[f44]) ).

fof(f118,plain,
    ( sP6
    | ~ p_4
    | ~ sP7 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f119,plain,
    ( p_4
    | ~ sP6
    | ~ sP7 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f120,plain,
    ( sP7
    | sP6
    | p_4 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f121,plain,
    ( sP7
    | ~ sP6
    | ~ p_4 ),
    inference(cnf_transformation,[],[f45]) ).

fof(f122,plain,
    ( sP5
    | ~ p_5
    | ~ sP6 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f123,plain,
    ( p_5
    | ~ sP5
    | ~ sP6 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f124,plain,
    ( sP6
    | sP5
    | p_5 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f125,plain,
    ( sP6
    | ~ sP5
    | ~ p_5 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f126,plain,
    ( sP4
    | ~ p_6
    | ~ sP5 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f127,plain,
    ( p_6
    | ~ sP4
    | ~ sP5 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f128,plain,
    ( sP5
    | sP4
    | p_6 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f129,plain,
    ( sP5
    | ~ sP4
    | ~ p_6 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f130,plain,
    ( sP3
    | ~ p_7
    | ~ sP4 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f131,plain,
    ( p_7
    | ~ sP3
    | ~ sP4 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f132,plain,
    ( sP4
    | sP3
    | p_7 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f133,plain,
    ( sP4
    | ~ sP3
    | ~ p_7 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f134,plain,
    ( sP2
    | ~ p_8
    | ~ sP3 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f135,plain,
    ( p_8
    | ~ sP2
    | ~ sP3 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f136,plain,
    ( sP3
    | sP2
    | p_8 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f137,plain,
    ( sP3
    | ~ sP2
    | ~ p_8 ),
    inference(cnf_transformation,[],[f49]) ).

fof(f138,plain,
    ( sP1
    | ~ p_9
    | ~ sP2 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f139,plain,
    ( p_9
    | ~ sP1
    | ~ sP2 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f140,plain,
    ( sP2
    | sP1
    | p_9 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f141,plain,
    ( sP2
    | ~ sP1
    | ~ p_9 ),
    inference(cnf_transformation,[],[f50]) ).

fof(f142,plain,
    ( sP0
    | ~ p_10
    | ~ sP1 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f143,plain,
    ( p_10
    | ~ sP0
    | ~ sP1 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f144,plain,
    ( sP1
    | sP0
    | p_10 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f145,plain,
    ( sP1
    | ~ sP0
    | ~ p_10 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f146,plain,
    ( p_14
    | ~ p_13
    | ~ p_12
    | ~ p_11
    | ~ sP0 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f147,plain,
    ( p_13
    | ~ p_14
    | ~ p_12
    | ~ p_11
    | ~ sP0 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f148,plain,
    ( p_12
    | p_14
    | p_13
    | ~ p_11
    | ~ sP0 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f149,plain,
    ( p_12
    | ~ p_14
    | ~ p_13
    | ~ p_11
    | ~ sP0 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f150,plain,
    ( p_11
    | p_14
    | ~ p_13
    | p_12
    | ~ sP0 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f151,plain,
    ( p_11
    | p_13
    | ~ p_14
    | p_12
    | ~ sP0 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f152,plain,
    ( p_11
    | p_14
    | p_13
    | ~ p_12
    | ~ sP0 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f153,plain,
    ( p_11
    | ~ p_14
    | ~ p_13
    | ~ p_12
    | ~ sP0 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f154,plain,
    ( sP0
    | p_14
    | ~ p_13
    | ~ p_12
    | p_11 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f155,plain,
    ( sP0
    | p_13
    | ~ p_14
    | ~ p_12
    | p_11 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f156,plain,
    ( sP0
    | p_12
    | p_14
    | p_13
    | p_11 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f157,plain,
    ( sP0
    | p_12
    | ~ p_14
    | ~ p_13
    | p_11 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f158,plain,
    ( sP0
    | p_14
    | ~ p_13
    | p_12
    | ~ p_11 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f159,plain,
    ( sP0
    | p_13
    | ~ p_14
    | p_12
    | ~ p_11 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f160,plain,
    ( sP0
    | p_14
    | p_13
    | ~ p_12
    | ~ p_11 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f161,plain,
    ( sP0
    | ~ p_14
    | ~ p_13
    | ~ p_12
    | ~ p_11 ),
    inference(cnf_transformation,[],[f52]) ).

fof(f162,plain,
    ( sP23
    | p_1 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f163,plain,
    ( ~ sP23
    | ~ p_1 ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_49,plain,
    ( ~ sP22
    | ~ p_2
    | sP23 ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_50,plain,
    ( sP23
    | sP22
    | p_2 ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_51,plain,
    ( ~ sP23
    | ~ sP22
    | p_2 ),
    inference(cnf_transformation,[],[f55]) ).

cnf(c_52,plain,
    ( ~ sP23
    | ~ p_2
    | sP22 ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_53,plain,
    ( ~ sP21
    | ~ p_3
    | sP22 ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_54,plain,
    ( sP22
    | sP21
    | p_3 ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_55,plain,
    ( ~ sP22
    | ~ sP21
    | p_3 ),
    inference(cnf_transformation,[],[f59]) ).

cnf(c_56,plain,
    ( ~ sP22
    | ~ p_3
    | sP21 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_57,plain,
    ( ~ sP20
    | ~ p_4
    | sP21 ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_58,plain,
    ( sP21
    | sP20
    | p_4 ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_59,plain,
    ( ~ sP21
    | ~ sP20
    | p_4 ),
    inference(cnf_transformation,[],[f63]) ).

cnf(c_60,plain,
    ( ~ sP21
    | ~ p_4
    | sP20 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_61,plain,
    ( ~ sP19
    | ~ p_5
    | sP20 ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_62,plain,
    ( sP20
    | sP19
    | p_5 ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_63,plain,
    ( ~ sP20
    | ~ sP19
    | p_5 ),
    inference(cnf_transformation,[],[f67]) ).

cnf(c_64,plain,
    ( ~ sP20
    | ~ p_5
    | sP19 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_65,plain,
    ( ~ sP18
    | ~ p_6
    | sP19 ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_66,plain,
    ( sP19
    | sP18
    | p_6 ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_67,plain,
    ( ~ sP19
    | ~ sP18
    | p_6 ),
    inference(cnf_transformation,[],[f71]) ).

cnf(c_68,plain,
    ( ~ sP19
    | ~ p_6
    | sP18 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_69,plain,
    ( ~ sP17
    | ~ p_7
    | sP18 ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_70,plain,
    ( sP18
    | sP17
    | p_7 ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_71,plain,
    ( ~ sP18
    | ~ sP17
    | p_7 ),
    inference(cnf_transformation,[],[f75]) ).

cnf(c_72,plain,
    ( ~ sP18
    | ~ p_7
    | sP17 ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_73,plain,
    ( ~ sP16
    | ~ p_8
    | sP17 ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_74,plain,
    ( sP17
    | sP16
    | p_8 ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_75,plain,
    ( ~ sP17
    | ~ sP16
    | p_8 ),
    inference(cnf_transformation,[],[f79]) ).

cnf(c_76,plain,
    ( ~ sP17
    | ~ p_8
    | sP16 ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_77,plain,
    ( ~ sP15
    | ~ p_9
    | sP16 ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_78,plain,
    ( sP16
    | sP15
    | p_9 ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_79,plain,
    ( ~ sP16
    | ~ sP15
    | p_9 ),
    inference(cnf_transformation,[],[f83]) ).

cnf(c_80,plain,
    ( ~ sP16
    | ~ p_9
    | sP15 ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_81,plain,
    ( ~ sP14
    | ~ p_10
    | sP15 ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_82,plain,
    ( sP15
    | sP14
    | p_10 ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_83,plain,
    ( ~ sP15
    | ~ sP14
    | p_10 ),
    inference(cnf_transformation,[],[f87]) ).

cnf(c_84,plain,
    ( ~ sP15
    | ~ p_10
    | sP14 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_85,plain,
    ( ~ sP13
    | ~ p_11
    | sP14 ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_86,plain,
    ( sP14
    | sP13
    | p_11 ),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_87,plain,
    ( ~ sP14
    | ~ sP13
    | p_11 ),
    inference(cnf_transformation,[],[f91]) ).

cnf(c_88,plain,
    ( ~ sP14
    | ~ p_11
    | sP13 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_89,plain,
    ( ~ sP12
    | ~ p_12
    | sP13 ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_90,plain,
    ( sP13
    | sP12
    | p_12 ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_91,plain,
    ( ~ sP13
    | ~ sP12
    | p_12 ),
    inference(cnf_transformation,[],[f95]) ).

cnf(c_92,plain,
    ( ~ sP13
    | ~ p_12
    | sP12 ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_93,plain,
    ( ~ sP11
    | ~ p_13
    | sP12 ),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_94,plain,
    ( sP12
    | sP11
    | p_13 ),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_95,plain,
    ( ~ sP12
    | ~ sP11
    | p_13 ),
    inference(cnf_transformation,[],[f99]) ).

cnf(c_96,plain,
    ( ~ sP12
    | ~ p_13
    | sP11 ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_97,plain,
    ( ~ sP10
    | ~ p_14
    | sP11 ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_98,plain,
    ( sP11
    | sP10
    | p_14 ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_99,plain,
    ( ~ sP11
    | ~ sP10
    | p_14 ),
    inference(cnf_transformation,[],[f103]) ).

cnf(c_100,plain,
    ( ~ sP11
    | ~ p_14
    | sP10 ),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_101,plain,
    ( ~ sP9
    | ~ p_1
    | sP10 ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_102,plain,
    ( sP10
    | sP9
    | p_1 ),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_103,plain,
    ( ~ sP10
    | ~ sP9
    | p_1 ),
    inference(cnf_transformation,[],[f107]) ).

cnf(c_104,plain,
    ( ~ sP10
    | ~ p_1
    | sP9 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_105,plain,
    ( ~ p_2
    | ~ sP8
    | sP9 ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_106,plain,
    ( p_2
    | sP9
    | sP8 ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_107,plain,
    ( ~ sP9
    | ~ sP8
    | p_2 ),
    inference(cnf_transformation,[],[f111]) ).

cnf(c_108,plain,
    ( ~ p_2
    | ~ sP9
    | sP8 ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_109,plain,
    ( ~ p_3
    | ~ sP7
    | sP8 ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_110,plain,
    ( p_3
    | sP8
    | sP7 ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_111,plain,
    ( ~ sP8
    | ~ sP7
    | p_3 ),
    inference(cnf_transformation,[],[f115]) ).

cnf(c_112,plain,
    ( ~ p_3
    | ~ sP8
    | sP7 ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_113,plain,
    ( ~ p_4
    | ~ sP6
    | sP7 ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_114,plain,
    ( p_4
    | sP7
    | sP6 ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_115,plain,
    ( ~ sP7
    | ~ sP6
    | p_4 ),
    inference(cnf_transformation,[],[f119]) ).

cnf(c_116,plain,
    ( ~ p_4
    | ~ sP7
    | sP6 ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_117,plain,
    ( ~ p_5
    | ~ sP5
    | sP6 ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_118,plain,
    ( p_5
    | sP6
    | sP5 ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_119,plain,
    ( ~ sP6
    | ~ sP5
    | p_5 ),
    inference(cnf_transformation,[],[f123]) ).

cnf(c_120,plain,
    ( ~ p_5
    | ~ sP6
    | sP5 ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_121,plain,
    ( ~ p_6
    | ~ sP4
    | sP5 ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_122,plain,
    ( p_6
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_123,plain,
    ( ~ sP5
    | ~ sP4
    | p_6 ),
    inference(cnf_transformation,[],[f127]) ).

cnf(c_124,plain,
    ( ~ p_6
    | ~ sP5
    | sP4 ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_125,plain,
    ( ~ p_7
    | ~ sP3
    | sP4 ),
    inference(cnf_transformation,[],[f133]) ).

cnf(c_126,plain,
    ( p_7
    | sP4
    | sP3 ),
    inference(cnf_transformation,[],[f132]) ).

cnf(c_127,plain,
    ( ~ sP4
    | ~ sP3
    | p_7 ),
    inference(cnf_transformation,[],[f131]) ).

cnf(c_128,plain,
    ( ~ p_7
    | ~ sP4
    | sP3 ),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_129,plain,
    ( ~ p_8
    | ~ sP2
    | sP3 ),
    inference(cnf_transformation,[],[f137]) ).

cnf(c_130,plain,
    ( p_8
    | sP3
    | sP2 ),
    inference(cnf_transformation,[],[f136]) ).

cnf(c_131,plain,
    ( ~ sP3
    | ~ sP2
    | p_8 ),
    inference(cnf_transformation,[],[f135]) ).

cnf(c_132,plain,
    ( ~ p_8
    | ~ sP3
    | sP2 ),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_133,plain,
    ( ~ p_9
    | ~ sP1
    | sP2 ),
    inference(cnf_transformation,[],[f141]) ).

cnf(c_134,plain,
    ( p_9
    | sP2
    | sP1 ),
    inference(cnf_transformation,[],[f140]) ).

cnf(c_135,plain,
    ( ~ sP2
    | ~ sP1
    | p_9 ),
    inference(cnf_transformation,[],[f139]) ).

cnf(c_136,plain,
    ( ~ p_9
    | ~ sP2
    | sP1 ),
    inference(cnf_transformation,[],[f138]) ).

cnf(c_137,plain,
    ( ~ p_10
    | ~ sP0
    | sP1 ),
    inference(cnf_transformation,[],[f145]) ).

cnf(c_138,plain,
    ( p_10
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f144]) ).

cnf(c_139,plain,
    ( ~ sP1
    | ~ sP0
    | p_10 ),
    inference(cnf_transformation,[],[f143]) ).

cnf(c_140,plain,
    ( ~ p_10
    | ~ sP1
    | sP0 ),
    inference(cnf_transformation,[],[f142]) ).

cnf(c_141,plain,
    ( ~ p_11
    | ~ p_12
    | ~ p_13
    | ~ p_14
    | sP0 ),
    inference(cnf_transformation,[],[f161]) ).

cnf(c_142,plain,
    ( ~ p_11
    | ~ p_12
    | p_13
    | p_14
    | sP0 ),
    inference(cnf_transformation,[],[f160]) ).

cnf(c_143,plain,
    ( ~ p_11
    | ~ p_14
    | p_12
    | p_13
    | sP0 ),
    inference(cnf_transformation,[],[f159]) ).

cnf(c_144,plain,
    ( ~ p_11
    | ~ p_13
    | p_12
    | p_14
    | sP0 ),
    inference(cnf_transformation,[],[f158]) ).

cnf(c_145,plain,
    ( ~ p_13
    | ~ p_14
    | p_11
    | p_12
    | sP0 ),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_146,plain,
    ( p_11
    | p_12
    | p_13
    | p_14
    | sP0 ),
    inference(cnf_transformation,[],[f156]) ).

cnf(c_147,plain,
    ( ~ p_12
    | ~ p_14
    | p_11
    | p_13
    | sP0 ),
    inference(cnf_transformation,[],[f155]) ).

cnf(c_148,plain,
    ( ~ p_12
    | ~ p_13
    | p_11
    | p_14
    | sP0 ),
    inference(cnf_transformation,[],[f154]) ).

cnf(c_149,plain,
    ( ~ p_12
    | ~ p_13
    | ~ p_14
    | ~ sP0
    | p_11 ),
    inference(cnf_transformation,[],[f153]) ).

cnf(c_150,plain,
    ( ~ p_12
    | ~ sP0
    | p_11
    | p_13
    | p_14 ),
    inference(cnf_transformation,[],[f152]) ).

cnf(c_151,plain,
    ( ~ p_14
    | ~ sP0
    | p_11
    | p_12
    | p_13 ),
    inference(cnf_transformation,[],[f151]) ).

cnf(c_152,plain,
    ( ~ p_13
    | ~ sP0
    | p_11
    | p_12
    | p_14 ),
    inference(cnf_transformation,[],[f150]) ).

cnf(c_153,plain,
    ( ~ p_11
    | ~ p_13
    | ~ p_14
    | ~ sP0
    | p_12 ),
    inference(cnf_transformation,[],[f149]) ).

cnf(c_154,plain,
    ( ~ p_11
    | ~ sP0
    | p_12
    | p_13
    | p_14 ),
    inference(cnf_transformation,[],[f148]) ).

cnf(c_155,plain,
    ( ~ p_11
    | ~ p_12
    | ~ p_14
    | ~ sP0
    | p_13 ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_156,plain,
    ( ~ p_11
    | ~ p_12
    | ~ p_13
    | ~ sP0
    | p_14 ),
    inference(cnf_transformation,[],[f146]) ).

cnf(c_157,negated_conjecture,
    ( ~ sP23
    | ~ p_1 ),
    inference(cnf_transformation,[],[f163]) ).

cnf(c_158,negated_conjecture,
    ( sP23
    | p_1 ),
    inference(cnf_transformation,[],[f162]) ).

cnf(c_159,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_141,c_149,c_153,c_155,c_156,c_142,c_143,c_144,c_145,c_147,c_148,c_150,c_151,c_152,c_154,c_49,c_51,c_52,c_53,c_55,c_56,c_57,c_59,c_60,c_61,c_63,c_64,c_65,c_67,c_68,c_69,c_71,c_72,c_73,c_75,c_76,c_77,c_79,c_80,c_81,c_83,c_84,c_85,c_87,c_88,c_89,c_91,c_92,c_93,c_95,c_96,c_97,c_99,c_100,c_101,c_103,c_104,c_105,c_107,c_108,c_109,c_111,c_112,c_113,c_115,c_116,c_117,c_119,c_120,c_121,c_123,c_124,c_125,c_127,c_128,c_129,c_131,c_132,c_133,c_135,c_136,c_137,c_139,c_140,c_146,c_157,c_50,c_54,c_58,c_62,c_66,c_70,c_74,c_78,c_82,c_86,c_90,c_94,c_98,c_102,c_106,c_110,c_114,c_118,c_122,c_126,c_130,c_134,c_138,c_158]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN007+1.014 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n018.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 : Thu May  2 21:13:46 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.48/1.16  % SZS status Started for theBenchmark.p
% 0.48/1.16  % SZS status Theorem for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.48/1.16  
% 0.48/1.16  ------  iProver source info
% 0.48/1.16  
% 0.48/1.16  git: date: 2024-05-02 19:28:25 +0000
% 0.48/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.48/1.16  git: non_committed_changes: false
% 0.48/1.16  
% 0.48/1.16  ------ Parsing...
% 0.48/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing...
% 0.48/1.16  
% 0.48/1.16  % SZS status Theorem for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.16  
% 0.48/1.16  
%------------------------------------------------------------------------------