TSTP Solution File: CSR141^1 by Lash---1.13
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- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : CSR141^1 : 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 : n017.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 21:33:24 EDT 2023
% Result : Theorem 0.16s 0.39s
% Output : Proof 0.16s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_agent_THFTYPE_IiioI,type,
agent_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_lMariaPaola_THFTYPE_i,type,
lMariaPaola_THFTYPE_i: $i ).
thf(ty_lWhenFn_THFTYPE_IiiI,type,
lWhenFn_THFTYPE_IiiI: $i > $i ).
thf(ty_instance_THFTYPE_IiioI,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_lCADE_BM_THFTYPE_i,type,
lCADE_BM_THFTYPE_i: $i ).
thf(ty_lReiner_THFTYPE_i,type,
lReiner_THFTYPE_i: $i ).
thf(ty_lNear_THFTYPE_i,type,
lNear_THFTYPE_i: $i ).
thf(ty_connected_THFTYPE_IiioI,type,
connected_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_lMeeting_THFTYPE_i,type,
lMeeting_THFTYPE_i: $i ).
thf(ty_orientation_THFTYPE_IiiioI,type,
orientation_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(ty_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(sP1,plain,
( sP1
<=> ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
@ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
=> ~ sP1 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ sP2 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( ~ ( ( instance_THFTYPE_IiioI @ X1 @ lMeeting_THFTYPE_i )
=> ~ ( agent_THFTYPE_IiioI @ X1 @ X3 ) )
=> ~ ( agent_THFTYPE_IiioI @ X1 @ X2 ) )
=> ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X1 ) @ ( orientation_THFTYPE_IiiioI @ X3 @ X2 @ lNear_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: $i,X2: $i] :
( ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i )
=> ~ ( connected_THFTYPE_IiioI @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ~ $false = ~ sP4 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: $i,X2: $i] :
( ~ ( ~ ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
=> ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X2 ) )
=> ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X1 ) )
=> ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ X2 @ X1 @ lNear_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: $i] :
( ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ X1 @ lNear_THFTYPE_i )
=> ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ~ ( ~ sP5
=> ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i ) )
=> sP6 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( ~ sP5
=> ~ sP14 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> $false ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( sP2
=> ~ sP4 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( sP2 = ~ sP4 ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ~ sP16 ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ! [X1: $i] :
( ~ ( ~ ( sP12
=> ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X1 ) )
=> ~ sP14 )
=> ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ X1 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(con,conjecture,
sP3 ).
thf(h0,negated_conjecture,
~ sP3,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP6
| sP3
| ~ sP18
| sP16 ),
inference(mating_rule,[status(thm)],]) ).
thf(2,plain,
( sP18
| sP2
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP5
| ~ sP12
| ~ sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP15
| sP5
| ~ sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP13
| sP15
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP17
| ~ sP2
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP11
| sP17 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP8
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP20
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP10
| sP20 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP7
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(12,plain,
( sP9
| sP16
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
~ sP16,
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP19
| sP3
| ~ sP9
| sP16 ),
inference(mating_rule,[status(thm)],]) ).
thf(ax_005,axiom,
sP8 ).
thf(ax_004,axiom,
sP7 ).
thf(ax_003,axiom,
sP19 ).
thf(ax_002,axiom,
sP12 ).
thf(ax_001,axiom,
sP1 ).
thf(ax,axiom,
sP14 ).
thf(15,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,h0,ax_005,ax_004,ax_003,ax_002,ax_001,ax]) ).
thf(0,theorem,
sP3,
inference(contra,[status(thm),contra(discharge,[h0])],[15,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : CSR141^1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.11 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.11/0.31 % Computer : n017.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Aug 28 13:41:42 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.39 % SZS status Theorem
% 0.16/0.39 % Mode: cade22grackle2xfee4
% 0.16/0.39 % Steps: 688
% 0.16/0.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------