TSTP Solution File: CSR130^2 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR130^2 : 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 : n019.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 147.96s 147.82s
% Output : Proof 147.96s
% 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_n2009_THFTYPE_i,type,
n2009_THFTYPE_i: $i ).
thf(ty_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(ty_temporalPart_THFTYPE_IiioI,type,
temporalPart_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(sP1,plain,
( sP1
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= ( ~ ( ~ ( ( temporalPart_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( temporalPart_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
=> ! [X1: $i] : ( !! @ ( temporalPart_THFTYPE_IiioI @ X1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ~ sP3
=> ! [X1: $i] : ( !! @ ( likes_THFTYPE_IiioI @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= ( ~ ( ~ ( ( temporalPart_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( temporalPart_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
=> ! [X1: $i] : ( !! @ ( temporalPart_THFTYPE_IiioI @ X1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= ( ~ sP4 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: $i] : ( !! @ ( likes_THFTYPE_IiioI @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( n2009_THFTYPE_i = n2009_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ( X1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( X1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
=> ! [X2: $i] : ( !! @ ( X1 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ sP10 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ~ ( ( temporalPart_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( temporalPart_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
=> ! [X1: $i] : ( !! @ ( temporalPart_THFTYPE_IiioI @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( sP7
= ( ~ sP13 ) ) ),
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
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP13 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( !! @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(con,conjecture,
~ sP11 ).
thf(h0,negated_conjecture,
sP11,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP19
| sP20 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP8
| sP19 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( sP6
| ~ sP7
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( sP6
| sP7
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP1
| sP16
| ~ sP14
| ~ sP6 ),
inference(mating_rule,[status(thm)],]) ).
thf(6,plain,
( sP3
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( sP4
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP3
| ~ sP7
| ~ sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP4
| sP3
| sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( sP15
| ~ sP7
| sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP1
| sP17
| ~ sP14
| ~ sP15 ),
inference(mating_rule,[status(thm)],]) ).
thf(12,plain,
( sP5
| sP10
| ~ sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP12
| sP17
| ~ sP14
| ~ sP5 ),
inference(mating_rule,[status(thm)],]) ).
thf(14,plain,
( sP2
| ~ sP20
| ~ sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP18
| sP17
| ~ sP14
| ~ sP2 ),
inference(mating_rule,[status(thm)],]) ).
thf(16,plain,
sP9,
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( sP14
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP11
| ~ sP16 ),
inference(all_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP11
| ~ sP17 ),
inference(all_rule,[status(thm)],]) ).
thf(ax_008,axiom,
sP18 ).
thf(ax_005,axiom,
sP12 ).
thf(ax_003,axiom,
sP1 ).
thf(20,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,h0,ax_008,ax_005,ax_003]) ).
thf(0,theorem,
~ sP11,
inference(contra,[status(thm),contra(discharge,[h0])],[20,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR130^2 : 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
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 9 22:28:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 147.96/147.82 % SZS status Theorem
% 147.96/147.82 % Mode: mode89a:USE_SINE=true:SINE_TOLERANCE=2.0:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=1.:SINE_DEPTH=0
% 147.96/147.82 % Inferences: 4070
% 147.96/147.82 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------