TSTP Solution File: CSR134^2 by Lash---1.13
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- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : CSR134^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n022.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 : 300s
% DateTime : Wed Aug 30 21:33:21 EDT 2023
% Result : Theorem 0.20s 0.43s
% Output : Proof 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_lYearFn_THFTYPE_IiiI,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(ty_n2009_THFTYPE_i,type,
n2009_THFTYPE_i: $i ).
thf(ty_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(ty_lBob_THFTYPE_i,type,
lBob_THFTYPE_i: $i ).
thf(ty_lAnna_THFTYPE_i,type,
lAnna_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_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(sP1,plain,
( sP1
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= ( ~ ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
=> ( parent_THFTYPE_IiioI @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( parent_THFTYPE_IiioI @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= ( ~ ( sP3
=> ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> $false ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP6 ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( sP3
=> ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( sP3
=> ( parent_THFTYPE_IiioI @ X1 @ lAnna_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ! [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,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP12 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ! [X1: $i,X2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ( parent_THFTYPE_IiioI @ X1 @ lAnna_THFTYPE_i )
=> ( parent_THFTYPE_IiioI @ X2 @ lAnna_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( sP8
=> ( parent_THFTYPE_IiioI @ X1 @ lAnna_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ sP8 ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(con,conjecture,
~ sP14 ).
thf(h0,negated_conjecture,
sP14,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP6
| ~ sP8
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( sP2
| ~ sP7
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP4
| sP10
| ~ sP2
| sP9 ),
inference(mating_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP12
| ~ sP3
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( sP5
| ~ sP7
| sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP4
| sP15
| ~ sP5
| sP9 ),
inference(mating_rule,[status(thm)],]) ).
thf(7,plain,
~ sP9,
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP19
| sP1
| sP8
| sP9 ),
inference(mating_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP11
| sP1
| ~ sP16
| sP9 ),
inference(mating_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP4
| sP1
| sP7
| sP9 ),
inference(mating_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP18
| ~ sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP13
| ~ sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP13
| ~ sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP17
| sP18 ),
inference(all_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP17
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP14
| sP17 ),
inference(all_rule,[status(thm)],]) ).
thf(ax_035,axiom,
sP4 ).
thf(ax_019,axiom,
sP11 ).
thf(ax_010,axiom,
sP19 ).
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_035,ax_019,ax_010]) ).
thf(0,theorem,
~ sP14,
inference(contra,[status(thm),contra(discharge,[h0])],[17,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CSR134^2 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n022.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 : 300
% 0.13/0.34 % DateTime : Mon Aug 28 13:54:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.43 % SZS status Theorem
% 0.20/0.43 % Mode: cade22sinegrackle2x6978
% 0.20/0.43 % Steps: 264
% 0.20/0.43 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------