TSTP Solution File: CSR141^1 by Satallax---3.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : CSR141^1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n020.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  : 600s
% DateTime : Fri Jul 15 23:14:28 EDT 2022

% Result   : Theorem 0.59s 0.84s
% Output   : Proof 0.59s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_lCADE_BM_THFTYPE_i,type,
    lCADE_BM_THFTYPE_i: $i ).

thf(ty_agent_THFTYPE_IiioI,type,
    agent_THFTYPE_IiioI: $i > $i > $o ).

thf(ty_lReiner_THFTYPE_i,type,
    lReiner_THFTYPE_i: $i ).

thf(ty_lNear_THFTYPE_i,type,
    lNear_THFTYPE_i: $i ).

thf(ty_holdsDuring_THFTYPE_IiooI,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(ty_lMariaPaola_THFTYPE_i,type,
    lMariaPaola_THFTYPE_i: $i ).

thf(ty_connected_THFTYPE_IiioI,type,
    connected_THFTYPE_IiioI: $i > $i > $o ).

thf(ty_instance_THFTYPE_IiioI,type,
    instance_THFTYPE_IiioI: $i > $i > $o ).

thf(ty_orientation_THFTYPE_IiiioI,type,
    orientation_THFTYPE_IiiioI: $i > $i > $i > $o ).

thf(ty_lMeeting_THFTYPE_i,type,
    lMeeting_THFTYPE_i: $i ).

thf(ty_lWhenFn_THFTYPE_IiiI,type,
    lWhenFn_THFTYPE_IiiI: $i > $i ).

thf(sP1,plain,
    ( sP1
  <=> ! [X1: $i] :
        ( ~ ( ~ ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
               => ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X1 ) )
           => ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i ) )
       => ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ X1 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ! [X1: $i,X2: $i] :
        ( ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i )
       => ~ ( connected_THFTYPE_IiioI @ X1 @ X2 ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> ( ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
      = ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(sP8,plain,
    ( sP8
  <=> ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ sP6 ) ),
    introduced(definition,[new_symbols(definition,[sP8])]) ).

thf(sP9,plain,
    ( sP9
  <=> ( ~ ( ~ ( sP4
             => ~ sP7 )
         => ~ sP3 )
     => sP8 ) ),
    introduced(definition,[new_symbols(definition,[sP9])]) ).

thf(sP10,plain,
    ( sP10
  <=> ( ( ~ $false )
      = ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP10])]) ).

thf(sP11,plain,
    ( sP11
  <=> ( sP4
     => ~ sP7 ) ),
    introduced(definition,[new_symbols(definition,[sP11])]) ).

thf(sP12,plain,
    ( sP12
  <=> $false ),
    introduced(definition,[new_symbols(definition,[sP12])]) ).

thf(sP13,plain,
    ( sP13
  <=> ! [X1: $i,X2: $i,X3: $i] :
        ( ~ ( ~ ( ( instance_THFTYPE_IiioI @ X1 @ lMeeting_THFTYPE_i )
               => ~ ( agent_THFTYPE_IiioI @ X1 @ X3 ) )
           => ~ ( agent_THFTYPE_IiioI @ X1 @ X2 ) )
       => ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X1 ) @ ( orientation_THFTYPE_IiiioI @ X3 @ X2 @ lNear_THFTYPE_i ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP13])]) ).

thf(sP14,plain,
    ( sP14
  <=> ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
      @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP14])]) ).

thf(sP15,plain,
    ( sP15
  <=> ( sP6
     => ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP15])]) ).

thf(sP16,plain,
    ( sP16
  <=> ( lCADE_BM_THFTYPE_i = lCADE_BM_THFTYPE_i ) ),
    introduced(definition,[new_symbols(definition,[sP16])]) ).

thf(sP17,plain,
    ( sP17
  <=> ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
      = ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) ) ),
    introduced(definition,[new_symbols(definition,[sP17])]) ).

thf(sP18,plain,
    ( sP18
  <=> ! [X1: $i,X2: $i] :
        ( ~ ( ~ ( sP4
               => ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X2 ) )
           => ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X1 ) )
       => ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ X2 @ X1 @ lNear_THFTYPE_i ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP18])]) ).

thf(sP19,plain,
    ( sP19
  <=> ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
    introduced(definition,[new_symbols(definition,[sP19])]) ).

thf(sP20,plain,
    ( sP20
  <=> ! [X1: $i] :
        ( ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ X1 @ lNear_THFTYPE_i )
       => ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ X1 ) ) ),
    introduced(definition,[new_symbols(definition,[sP20])]) ).

thf(sP21,plain,
    ( sP21
  <=> ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ~ sP12 ) ),
    introduced(definition,[new_symbols(definition,[sP21])]) ).

thf(sP22,plain,
    ( sP22
  <=> ( ~ sP11
     => ~ sP3 ) ),
    introduced(definition,[new_symbols(definition,[sP22])]) ).

thf(con,conjecture,
    sP14 ).

thf(h0,negated_conjecture,
    ~ sP14,
    inference(assume_negation,[status(cth)],[con]) ).

thf(1,plain,
    ~ sP12,
    inference(prop_rule,[status(thm)],]) ).

thf(2,plain,
    sP16,
    inference(prop_rule,[status(thm)],]) ).

thf(3,plain,
    ( ~ sP15
    | ~ sP6
    | ~ sP19 ),
    inference(prop_rule,[status(thm)],]) ).

thf(4,plain,
    ( ~ sP20
    | sP15 ),
    inference(all_rule,[status(thm)],]) ).

thf(5,plain,
    ( ~ sP2
    | sP20 ),
    inference(all_rule,[status(thm)],]) ).

thf(6,plain,
    ( sP5
    | sP6
    | ~ sP19 ),
    inference(prop_rule,[status(thm)],]) ).

thf(7,plain,
    ( sP10
    | sP12
    | sP19 ),
    inference(prop_rule,[status(thm)],]) ).

thf(8,plain,
    ( sP17
    | ~ sP16 ),
    inference(prop_rule,[status(thm)],]) ).

thf(9,plain,
    ( ~ sP8
    | sP14
    | ~ sP17
    | ~ sP5 ),
    inference(mating_rule,[status(thm)],]) ).

thf(10,plain,
    ( ~ sP18
    | sP1 ),
    inference(all_rule,[status(thm)],]) ).

thf(11,plain,
    ( ~ sP1
    | sP9 ),
    inference(all_rule,[status(thm)],]) ).

thf(12,plain,
    ( ~ sP9
    | sP22
    | sP8 ),
    inference(prop_rule,[status(thm)],]) ).

thf(13,plain,
    ( ~ sP22
    | sP11
    | ~ sP3 ),
    inference(prop_rule,[status(thm)],]) ).

thf(14,plain,
    ( ~ sP13
    | sP18 ),
    inference(all_rule,[status(thm)],]) ).

thf(15,plain,
    ( ~ sP11
    | ~ sP4
    | ~ sP7 ),
    inference(prop_rule,[status(thm)],]) ).

thf(16,plain,
    ( ~ sP21
    | sP14
    | ~ sP17
    | ~ sP10 ),
    inference(mating_rule,[status(thm)],]) ).

thf(ax,axiom,
    sP3 ).

thf(ax_001,axiom,
    sP7 ).

thf(ax_002,axiom,
    sP4 ).

thf(ax_003,axiom,
    sP21 ).

thf(ax_004,axiom,
    sP13 ).

thf(ax_005,axiom,
    sP2 ).

thf(17,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,ax,ax_001,ax_002,ax_003,ax_004,ax_005,h0]) ).

thf(0,theorem,
    sP14,
    inference(contra,[status(thm),contra(discharge,[h0])],[17,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR141^1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34  % Computer : n020.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  : 600
% 0.13/0.34  % DateTime : Sat Jun 11 18:10:05 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.59/0.84  % SZS status Theorem
% 0.59/0.84  % Mode: mode213
% 0.59/0.84  % Inferences: 3927
% 0.59/0.84  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------