TSTP Solution File: CSR123^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR123^1 : 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 : n009.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 23:14:20 EDT 2022
% Result : Theorem 33.13s 33.45s
% Output : Proof 33.13s
% 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_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_lBen_THFTYPE_i,type,
lBen_THFTYPE_i: $i ).
thf(ty_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(sP1,plain,
( sP1
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i,X2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( n2009_THFTYPE_i = n2009_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( sP1
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( sP1
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
= ( ~ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP7 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
= ( ~ ( sP1
=> sP9 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: $i > $i > $o,X2: $i,X3: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ( X1 @ lSue_THFTYPE_i @ X2 )
=> ( X1 @ lSue_THFTYPE_i @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( sP1
=> sP9 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( sP9
=> sP1 ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( ( ~ sP11 )
= ( ~ ( sP9
=> sP1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( sP9
=> sP1 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP11 ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( sP9
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(con,conjecture,
~ sP12 ).
thf(h0,negated_conjecture,
sP12,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP13
| ~ sP1
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( sP10
| sP11
| sP13 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP18
| sP4
| ~ sP16
| ~ sP10 ),
inference(mating_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP5
| ~ sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP7
| ~ sP9
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( sP6
| sP11
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP18
| sP8
| ~ sP16
| ~ sP6 ),
inference(mating_rule,[status(thm)],]) ).
thf(8,plain,
( sP17
| ~ sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( sP15
| ~ sP11
| ~ sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP18
| sP14
| ~ sP16
| ~ sP15 ),
inference(mating_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP19
| ~ sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP19
| ~ sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP2
| sP19 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP2
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP12
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(16,plain,
sP3,
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( sP16
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(ax_002,axiom,
sP18 ).
thf(ax,axiom,
sP1 ).
thf(18,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,ax_002,ax,h0]) ).
thf(0,theorem,
~ sP12,
inference(contra,[status(thm),contra(discharge,[h0])],[18,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CSR123^1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35 % Computer : n009.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 : Sat Jun 11 16:50:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 33.13/33.45 % SZS status Theorem
% 33.13/33.45 % Mode: mode448
% 33.13/33.45 % Inferences: 375
% 33.13/33.45 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------