TSTP Solution File: CSR127^2 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR127^2 : 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 : 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 23:14:22 EDT 2022
% Result : Theorem 23.40s 23.40s
% Output : Proof 23.40s
% 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_eigen__0,type,
eigen__0: $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_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(sP1,plain,
( sP1
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ n2009_THFTYPE_i )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ n2009_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ eigen__0 @ 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 @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ n2009_THFTYPE_i )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ n2009_THFTYPE_i ) )
= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ n2009_THFTYPE_i )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ n2009_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ X1 @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( sP6
= ( likes_THFTYPE_IiioI @ eigen__0 @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_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
<=> ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( sP6 = sP12 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( likes_THFTYPE_IiioI @ eigen__0 @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ! [X1: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( sP10 = sP15 ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(con,conjecture,
~ sP7 ).
thf(h0,negated_conjecture,
sP7,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( sP10
| ~ sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( sP18
| ~ sP10
| ~ sP15 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP9
| sP2
| ~ sP17
| ~ sP18 ),
inference(mating_rule,[status(thm)],]) ).
thf(4,plain,
( sP4
| sP6
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP1
| sP3
| ~ sP17
| ~ sP4 ),
inference(mating_rule,[status(thm)],]) ).
thf(6,plain,
( sP13
| ~ sP6
| ~ sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP1
| sP5
| ~ sP17
| ~ sP13 ),
inference(mating_rule,[status(thm)],]) ).
thf(8,plain,
( sP8
| sP6
| sP15 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP1
| sP2
| ~ sP17
| ~ sP8 ),
inference(mating_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP16
| sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
sP11,
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( sP17
| ~ sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP7
| ~ sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP7
| ~ sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP16
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP7
| ~ sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(ax_022,axiom,
sP12 ).
thf(ax_005,axiom,
sP16 ).
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,h0,ax_022,ax_005]) ).
thf(0,theorem,
~ sP7,
inference(contra,[status(thm),contra(discharge,[h0])],[17,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR127^2 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.13 % 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 18:57:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 23.40/23.40 % SZS status Theorem
% 23.40/23.40 % Mode: mode9a:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=1.:SINE_DEPTH=0
% 23.40/23.40 % Inferences: 1032
% 23.40/23.40 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------