TSTP Solution File: CSR131^1 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR131^1 : 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 : n014.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 23:14:24 EDT 2022
% Result : Theorem 77.30s 77.54s
% Output : Proof 77.30s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_lYearFn_THFTYPE_IiiI,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(ty_lMary_THFTYPE_i,type,
lMary_THFTYPE_i: $i ).
thf(ty_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(ty_lBob_THFTYPE_i,type,
lBob_THFTYPE_i: $i ).
thf(ty_n2009_THFTYPE_i,type,
n2009_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
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ~ ( ~ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
=> ! [X1: $i] : ( !! @ ( likes_THFTYPE_IiioI @ X1 ) ) )
=> ! [X1: $i] : ( !! @ ( parent_THFTYPE_IiioI @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ~ ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
=> ! [X1: $i] : ( !! @ ( parent_THFTYPE_IiioI @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ~ ( ~ ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
=> ! [X1: $i] : ( !! @ ( parent_THFTYPE_IiioI @ X1 ) ) )
=> ! [X1: $i] : ( !! @ ( parent_THFTYPE_IiioI @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= ( ~ sP4 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ sP5 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
= ( ~ ( ~ sP3
=> ! [X1: $i] : ( !! @ ( parent_THFTYPE_IiioI @ X1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
=> ! [X1: $i] : ( !! @ ( parent_THFTYPE_IiioI @ X1 ) ) )
=> ! [X1: $i] : ( !! @ ( likes_THFTYPE_IiioI @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( n2009_THFTYPE_i = n2009_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP2 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: $i] : ( !! @ ( parent_THFTYPE_IiioI @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( sP5
=> ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP4 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= ( ~ ( ~ sP3
=> sP13 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ! [X1: $i > $i > $o,X2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ ( ( X1 @ X2 @ lBill_THFTYPE_i )
=> ~ ( likes_THFTYPE_IiioI @ X2 @ lAnna_THFTYPE_i ) )
=> ! [X3: $i] : ( !! @ ( X1 @ X3 ) ) )
=> ! [X3: $i] : ( !! @ ( likes_THFTYPE_IiioI @ X3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( sP5
= ( ~ ( ~ sP3
=> sP13 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( ~ sP15
=> ! [X1: $i] : ( !! @ ( likes_THFTYPE_IiioI @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ! [X1: $i] : ( !! @ ( likes_THFTYPE_IiioI @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ ( ( parent_THFTYPE_IiioI @ X1 @ lBill_THFTYPE_i )
=> ~ ( likes_THFTYPE_IiioI @ X1 @ lAnna_THFTYPE_i ) )
=> sP13 )
=> sP24 ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( !! @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ! [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ ( ( X2 @ X3 @ lBill_THFTYPE_i )
=> ~ ( X1 @ X3 @ lAnna_THFTYPE_i ) )
=> ! [X4: $i] : ( !! @ ( X2 @ X4 ) ) )
=> ! [X4: $i] : ( !! @ ( X1 @ X4 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( ( ~ sP6 )
= ( ~ ( ~ ( ~ ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
=> sP13 )
=> sP24 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( ~ ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ sP23 )
=> sP13 ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ sP23 ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( ~ sP3
=> sP13 ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ! [X1: $i > $i > $o,X2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ ( ( X1 @ X2 @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ X2 @ lAnna_THFTYPE_i ) )
=> ! [X3: $i] : ( !! @ ( X1 @ X3 ) ) )
=> sP13 ) ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ ( ( likes_THFTYPE_IiioI @ X1 @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ X1 @ lAnna_THFTYPE_i ) )
=> sP24 )
=> sP13 ) ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ( ~ ( ~ ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
=> sP13 )
=> sP24 ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( !! @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ ( ( parent_THFTYPE_IiioI @ X1 @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ X1 @ lAnna_THFTYPE_i ) )
=> sP13 )
=> sP13 ) ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ( ( ~ sP33 )
= ( ~ sP2 ) ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP31 ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(con,conjecture,
~ sP27 ).
thf(h0,negated_conjecture,
sP27,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP26
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP24
| sP26 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP15
| ~ sP5
| ~ sP23 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP22
| sP15
| sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( sP35
| ~ sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP2
| sP22
| sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP36
| sP33 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( sP28
| ~ sP6
| ~ sP35 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( sP38
| sP33
| sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP1
| sP10
| ~ sP39
| ~ sP28 ),
inference(mating_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP19
| sP12
| ~ sP39
| ~ sP38 ),
inference(mating_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP13
| sP36 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
( sP30
| sP23 ),
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
( sP29
| ~ sP30 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( sP4
| ~ sP29 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
( sP7
| ~ sP33
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP19
| sP16
| ~ sP39
| ~ sP7 ),
inference(mating_rule,[status(thm)],]) ).
thf(18,plain,
( sP14
| sP33 ),
inference(prop_rule,[status(thm)],]) ).
thf(19,plain,
( sP3
| ~ sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(20,plain,
( sP31
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(21,plain,
sP11,
inference(prop_rule,[status(thm)],]) ).
thf(22,plain,
( sP21
| sP5
| ~ sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(23,plain,
( sP9
| ~ sP33
| ~ sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(24,plain,
( sP17
| ~ sP23
| sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(25,plain,
( sP17
| sP23
| ~ sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(26,plain,
( sP39
| ~ sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(27,plain,
( ~ sP8
| sP40
| ~ sP39
| ~ sP21 ),
inference(mating_rule,[status(thm)],]) ).
thf(28,plain,
( ~ sP19
| sP40
| ~ sP39
| ~ sP9 ),
inference(mating_rule,[status(thm)],]) ).
thf(29,plain,
( ~ sP20
| sP40
| ~ sP39
| ~ sP17 ),
inference(mating_rule,[status(thm)],]) ).
thf(30,plain,
( ~ sP25
| ~ sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(31,plain,
( ~ sP34
| ~ sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(32,plain,
( ~ sP37
| ~ sP16 ),
inference(all_rule,[status(thm)],]) ).
thf(33,plain,
( ~ sP37
| ~ sP40 ),
inference(all_rule,[status(thm)],]) ).
thf(34,plain,
( ~ sP18
| sP25 ),
inference(all_rule,[status(thm)],]) ).
thf(35,plain,
( ~ sP32
| sP34 ),
inference(all_rule,[status(thm)],]) ).
thf(36,plain,
( ~ sP32
| sP37 ),
inference(all_rule,[status(thm)],]) ).
thf(37,plain,
( ~ sP27
| sP18 ),
inference(all_rule,[status(thm)],]) ).
thf(38,plain,
( ~ sP27
| sP32 ),
inference(all_rule,[status(thm)],]) ).
thf(ax,axiom,
sP20 ).
thf(ax_002,axiom,
sP19 ).
thf(ax_006,axiom,
sP8 ).
thf(ax_009,axiom,
sP1 ).
thf(39,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,ax,ax_002,ax_006,ax_009,h0]) ).
thf(0,theorem,
~ sP27,
inference(contra,[status(thm),contra(discharge,[h0])],[39,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR131^1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n014.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 13:35:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 77.30/77.54 % SZS status Theorem
% 77.30/77.54 % Mode: mode484
% 77.30/77.54 % Inferences: 5109
% 77.30/77.54 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------