TSTP Solution File: CSR138^1 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR138^1 : 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 : n029.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 23:14:27 EDT 2022
% Result : Theorem 33.63s 33.97s
% Output : Proof 33.63s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_eigen__2,type,
eigen__2: $i ).
thf(ty_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_eigen__1,type,
eigen__1: $i ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_eigen__3,type,
eigen__3: $i ).
thf(ty_lBob_THFTYPE_i,type,
lBob_THFTYPE_i: $i ).
thf(ty_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(ty_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(ty_lAnna_THFTYPE_i,type,
lAnna_THFTYPE_i: $i ).
thf(sP1,plain,
( sP1
<=> ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
( ~ ( ~ ( ( X2 @ X3 @ lBill_THFTYPE_i )
=> ~ ( X1 @ X3 @ lAnna_THFTYPE_i ) )
=> ( X2
= ( ^ [X4: $i,X5: $i] : ~ $false ) ) )
=> ( X1
= ( ^ [X4: $i,X5: $i] : ~ $false ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: $i] :
( ( ( lBob_THFTYPE_i != lBob_THFTYPE_i ) )
= ( ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i] :
( ( ^ [X2: $i] : ( X1 != lBill_THFTYPE_i ) )
= ( ^ [X2: $i] : ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: $i] :
( ~ ( ~ ( ( X1 != lBill_THFTYPE_i )
=> ( X1 = lBill_THFTYPE_i ) )
=> ( ( ^ [X2: $i,X3: $i] : ( X2 != lBill_THFTYPE_i ) )
= ( ^ [X2: $i,X3: $i] : ~ $false ) ) )
=> ( ( ^ [X2: $i,X3: $i] : ( X2 != lBill_THFTYPE_i ) )
= ( ^ [X2: $i,X3: $i] : ~ $false ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i] :
( ( eigen__0 = X1 )
=> ( X1 = eigen__0 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( ^ [X1: $i,X2: $i] : ( X1 != lBill_THFTYPE_i ) )
= ( ^ [X1: $i,X2: $i] : ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: $i] :
( ( ( lBill_THFTYPE_i != lBill_THFTYPE_i ) )
= ( ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( ( lBill_THFTYPE_i != lBill_THFTYPE_i ) )
= ( ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: $i] :
( ( ^ [X2: $i] : ( X1 != lBob_THFTYPE_i ) )
= ( ^ [X2: $i] : ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ( ^ [X1: $i] : ( lBob_THFTYPE_i != lBob_THFTYPE_i ) )
= ( ^ [X1: $i] : ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ( ^ [X1: $i] : ( lBill_THFTYPE_i != lBill_THFTYPE_i ) )
= ( ^ [X1: $i] : ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: $i] :
( ( eigen__1 = X1 )
=> ( X1 = eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( eigen__0 = lBob_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( ( ( lBob_THFTYPE_i != lBob_THFTYPE_i ) )
= ( ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( eigen__1 = lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ! [X1: $i > $i > $o,X2: $i] :
( ~ ( ~ ( ( X1 @ X2 @ lBill_THFTYPE_i )
=> ( X2 = lBob_THFTYPE_i ) )
=> ( X1
= ( ^ [X3: $i,X4: $i] : ~ $false ) ) )
=> ( ( ^ [X3: $i,X4: $i] : ( X3 != lBob_THFTYPE_i ) )
= ( ^ [X3: $i,X4: $i] : ~ $false ) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( lBob_THFTYPE_i = eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ~ sP16
=> sP16 ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ! [X1: $i] :
( ~ ( ~ ( ( X1 != lBob_THFTYPE_i )
=> ( X1 = lBob_THFTYPE_i ) )
=> ( ( ^ [X2: $i,X3: $i] : ( X2 != lBob_THFTYPE_i ) )
= ( ^ [X2: $i,X3: $i] : ~ $false ) ) )
=> ( ( ^ [X2: $i,X3: $i] : ( X2 != lBob_THFTYPE_i ) )
= ( ^ [X2: $i,X3: $i] : ~ $false ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( lBill_THFTYPE_i = lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( ( ^ [X1: $i,X2: $i] : ( X1 != lBob_THFTYPE_i ) )
= ( ^ [X1: $i,X2: $i] : ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( ~ sP19
=> sP7 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( ~ sP14
=> sP14 ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> $false ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( sP14
=> sP18 ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( ~ ( ~ sP24
=> sP22 )
=> sP22 ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( lBill_THFTYPE_i = eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( ~ sP24
=> sP22 ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ! [X1: $i > $i > $o,X2: $i] :
( ~ ( ~ ( ( X1 @ X2 @ lBill_THFTYPE_i )
=> ( X2 = lBill_THFTYPE_i ) )
=> ( X1
= ( ^ [X3: $i,X4: $i] : ~ sP25 ) ) )
=> sP7 ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ! [X1: $i,X2: $i] :
( ( X1 = X2 )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ( lBob_THFTYPE_i = lBob_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ( likes_THFTYPE_IiioI @ eigen__0 @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( sP16
=> sP28 ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ( ~ sP23
=> sP7 ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(con,conjecture,
~ sP2 ).
thf(h0,negated_conjecture,
sP2,
inference(assume_negation,[status(cth)],[con]) ).
thf(h1,assumption,
~ ( !! @ ( likes_THFTYPE_IiioI @ eigen__0 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ sP33,
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( !! @ ( parent_THFTYPE_IiioI @ eigen__2 ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
~ ( parent_THFTYPE_IiioI @ eigen__2 @ eigen__3 ),
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP24
| sP14
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP29
| sP24
| sP22 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP27
| sP29
| sP22 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP20
| sP27 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP3
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP11
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP10
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP22
| sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP17
| sP20 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP2
| sP17 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP19
| sP16
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP23
| sP19
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP35
| sP23
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP8
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP12
| sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP4
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP7
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP5
| sP35 ),
inference(all_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP30
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(20,plain,
( ~ sP2
| sP30 ),
inference(all_rule,[status(thm)],]) ).
thf(21,plain,
( ~ sP9
| ~ sP21
| sP25 ),
inference(prop_rule,[status(thm)],]) ).
thf(22,plain,
( ~ sP15
| ~ sP32
| sP25 ),
inference(prop_rule,[status(thm)],]) ).
thf(23,plain,
sP32,
inference(prop_rule,[status(thm)],]) ).
thf(24,plain,
sP21,
inference(prop_rule,[status(thm)],]) ).
thf(25,plain,
~ sP25,
inference(prop_rule,[status(thm)],]) ).
thf(26,plain,
( ~ sP26
| ~ sP14
| sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(27,plain,
( ~ sP6
| sP26 ),
inference(all_rule,[status(thm)],]) ).
thf(28,plain,
( ~ sP31
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(29,plain,
( ~ sP34
| ~ sP16
| sP28 ),
inference(prop_rule,[status(thm)],]) ).
thf(30,plain,
( ~ sP13
| sP34 ),
inference(all_rule,[status(thm)],]) ).
thf(31,plain,
( ~ sP31
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(32,plain,
sP31,
inference(eq_sym,[status(thm)],]) ).
thf(33,plain,
( ~ sP1
| sP33
| ~ sP18
| ~ sP28 ),
inference(mating_rule,[status(thm)],]) ).
thf(ax_006,axiom,
sP1 ).
thf(34,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h4,h3,h2,h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,h0,ax_006,h2]) ).
thf(35,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h3,h2,h1,h0]),tab_negall(discharge,[h4]),tab_negall(eigenvar,eigen__3)],[h3,34,h4]) ).
thf(ax_002,axiom,
~ ! [X1: $i] : ( !! @ ( parent_THFTYPE_IiioI @ X1 ) ) ).
thf(36,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[ax_002,35,h3]) ).
thf(37,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,36,h2]) ).
thf(ax_003,axiom,
~ ! [X1: $i] : ( !! @ ( likes_THFTYPE_IiioI @ X1 ) ) ).
thf(38,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[ax_003,37,h1]) ).
thf(0,theorem,
~ sP2,
inference(contra,[status(thm),contra(discharge,[h0])],[38,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR138^1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 11 12:35:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 33.63/33.97 % SZS status Theorem
% 33.63/33.97 % Mode: mode473
% 33.63/33.97 % Inferences: 5835
% 33.63/33.97 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------