TSTP Solution File: CSR134^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR134^1 : 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 : n007.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 23:14:25 EDT 2022
% Result : Theorem 33.45s 34.01s
% Output : Proof 33.45s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
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
<=> ( likes_THFTYPE_IiioI @ lAnna_THFTYPE_i @ lAnna_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( lMary_THFTYPE_i = lMary_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( lBill_THFTYPE_i != lAnna_THFTYPE_i )
=> ( lAnna_THFTYPE_i != lAnna_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ( lMary_THFTYPE_i != lAnna_THFTYPE_i )
=> ( X1 != lAnna_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ( lMary_THFTYPE_i != lAnna_THFTYPE_i )
=> ( lAnna_THFTYPE_i != lAnna_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= ( ~ ( ( lMary_THFTYPE_i != lAnna_THFTYPE_i )
=> ( lAnna_THFTYPE_i != lAnna_THFTYPE_i ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= ( ~ ( ( lSue_THFTYPE_i != lAnna_THFTYPE_i )
=> ( lAnna_THFTYPE_i != lAnna_THFTYPE_i ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ( lAnna_THFTYPE_i != lAnna_THFTYPE_i )
=> ( X1 != lAnna_THFTYPE_i ) ) ) ),
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
<=> ( lMary_THFTYPE_i = lAnna_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ~ sP12
=> ( lAnna_THFTYPE_i != lAnna_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: $i,X2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ( X1 != lAnna_THFTYPE_i )
=> ( X2 != lAnna_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( lAnna_THFTYPE_i = lSue_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ( lSue_THFTYPE_i != lAnna_THFTYPE_i )
=> ( X1 != lAnna_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ! [X1: $i > $i > $o,X2: $i,X3: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ( X1 @ X2 @ lAnna_THFTYPE_i )
=> ( X1 @ X3 @ lAnna_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= ( ~ ( ( lAnna_THFTYPE_i != lAnna_THFTYPE_i )
=> ( lBob_THFTYPE_i != lAnna_THFTYPE_i ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( ( lAnna_THFTYPE_i != lAnna_THFTYPE_i )
=> ( lBob_THFTYPE_i != lAnna_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( lSue_THFTYPE_i = lSue_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP5 ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= ( ~ sP5 ) ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ( lBill_THFTYPE_i != lAnna_THFTYPE_i )
=> ( X1 != lAnna_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP20 ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( ( lSue_THFTYPE_i != lAnna_THFTYPE_i )
=> ( lAnna_THFTYPE_i != lAnna_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( lAnna_THFTYPE_i = lAnna_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( lSue_THFTYPE_i = lAnna_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( lAnna_THFTYPE_i = lMary_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( sP16
= ( ~ sP20 ) ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ( lBill_THFTYPE_i = lAnna_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP27 ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(con,conjecture,
~ sP18 ).
thf(h0,negated_conjecture,
sP18,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP16
| sP1
| ~ sP12
| ~ sP33 ),
inference(mating_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP1
| sP24
| ~ sP15
| ~ sP30 ),
inference(mating_rule,[status(thm)],]) ).
thf(3,plain,
( sP20
| ~ sP28 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( sP19
| ~ sP24
| ~ sP20 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( sP31
| sP16
| ~ sP20 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( sP8
| sP24
| sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP13
| sP12
| ~ sP28 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP3
| sP7
| ~ sP32
| ~ sP8 ),
inference(mating_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP2
| sP26
| ~ sP32
| ~ sP31 ),
inference(mating_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP3
| sP26
| ~ sP32
| ~ sP19 ),
inference(mating_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP5
| sP33
| ~ sP28 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( sP23
| sP24
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP3
| sP22
| ~ sP32
| ~ sP23 ),
inference(mating_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP25
| ~ sP22 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP6
| ~ sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP10
| ~ sP26 ),
inference(all_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP12
| sP30
| ~ sP28
| ~ sP4 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP27
| sP29
| ~ sP28 ),
inference(prop_rule,[status(thm)],]) ).
thf(19,plain,
( sP9
| sP24
| sP27 ),
inference(prop_rule,[status(thm)],]) ).
thf(20,plain,
( ~ sP3
| sP34
| ~ sP32
| ~ sP9 ),
inference(mating_rule,[status(thm)],]) ).
thf(21,plain,
( ~ sP29
| sP15
| ~ sP28
| ~ sP21 ),
inference(confrontation_rule,[status(thm)],]) ).
thf(22,plain,
( ~ sP17
| ~ sP34 ),
inference(all_rule,[status(thm)],]) ).
thf(23,plain,
( ~ sP14
| sP17 ),
inference(all_rule,[status(thm)],]) ).
thf(24,plain,
( ~ sP14
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(25,plain,
( ~ sP14
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(26,plain,
( ~ sP14
| sP25 ),
inference(all_rule,[status(thm)],]) ).
thf(27,plain,
( ~ sP18
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(28,plain,
sP4,
inference(prop_rule,[status(thm)],]) ).
thf(29,plain,
sP28,
inference(prop_rule,[status(thm)],]) ).
thf(30,plain,
sP21,
inference(prop_rule,[status(thm)],]) ).
thf(31,plain,
sP11,
inference(prop_rule,[status(thm)],]) ).
thf(32,plain,
( sP32
| ~ sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(ax_009,axiom,
sP3 ).
thf(ax_006,axiom,
sP2 ).
thf(33,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,h0,ax_009,ax_006]) ).
thf(0,theorem,
~ sP18,
inference(contra,[status(thm),contra(discharge,[h0])],[33,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR134^1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 11 15:16:52 EDT 2022
% 0.11/0.33 % CPUTime :
% 33.45/34.01 % SZS status Theorem
% 33.45/34.01 % Mode: mode473
% 33.45/34.01 % Inferences: 7069
% 33.45/34.01 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------