TSTP Solution File: CSR148^2 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR148^2 : 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 : n020.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 23:14:32 EDT 2022
% Result : Theorem 5.41s 5.57s
% Output : Proof 5.41s
% 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_n1_THFTYPE_i,type,
n1_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(sP1,plain,
( sP1
<=> ! [X1: $o,X2: $i] :
( X1
=> ( holdsDuring_THFTYPE_IiooI @ X2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: $i] :
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
=> ( holdsDuring_THFTYPE_IiooI @ X1 @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ! [X1: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) )
=> ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [X1: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
=> sP5 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ~ ! [X1: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) )
=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ! [X1: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X1 ) @ sP5 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: $i,X2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X2 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ X1 )
=> ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: $i,X2: $o] :
( ( holdsDuring_THFTYPE_IiooI @ X1 @ ~ X2 )
=> ~ ( holdsDuring_THFTYPE_IiooI @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [X1: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [X1: $i] :
( ~ sP13
=> ( holdsDuring_THFTYPE_IiooI @ X1 @ ~ sP13 ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( sP5
=> sP2 ) ),
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
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP13 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(con,conjecture,
~ sP9 ).
thf(h0,negated_conjecture,
sP9,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP1
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP3
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP15
| ~ sP5
| sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP8
| ~ sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP13
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP6
| ~ sP16
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP1
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP14
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP7
| sP13
| sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP10
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP4
| ~ sP17
| ~ sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP11
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP9
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(ax_025,axiom,
sP16 ).
thf(ax_024,axiom,
sP11 ).
thf(ax_007,axiom,
sP1 ).
thf(ax_004,axiom,
sP12 ).
thf(14,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,h0,ax_025,ax_024,ax_007,ax_004]) ).
thf(0,theorem,
~ sP9,
inference(contra,[status(thm),contra(discharge,[h0])],[14,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR148^2 : 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
% 0.13/0.34 % Computer : n020.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 : Fri Jun 10 16:18:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 5.41/5.57 % SZS status Theorem
% 5.41/5.57 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 5.41/5.57 % Inferences: 752
% 5.41/5.57 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------