TSTP Solution File: CSR141^2 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR141^2 : 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 : n026.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 23:14:28 EDT 2022
% Result : Theorem 78.37s 78.52s
% Output : Proof 78.37s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_lCADE_BM_THFTYPE_i,type,
lCADE_BM_THFTYPE_i: $i ).
thf(ty_agent_THFTYPE_IiioI,type,
agent_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_lReiner_THFTYPE_i,type,
lReiner_THFTYPE_i: $i ).
thf(ty_lNear_THFTYPE_i,type,
lNear_THFTYPE_i: $i ).
thf(ty_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(ty_lMariaPaola_THFTYPE_i,type,
lMariaPaola_THFTYPE_i: $i ).
thf(ty_connected_THFTYPE_IiioI,type,
connected_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_instance_THFTYPE_IiioI,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_orientation_THFTYPE_IiiioI,type,
orientation_THFTYPE_IiiioI: $i > $i > $i > $o ).
thf(ty_lMeeting_THFTYPE_i,type,
lMeeting_THFTYPE_i: $i ).
thf(ty_lWhenFn_THFTYPE_IiiI,type,
lWhenFn_THFTYPE_IiiI: $i > $i ).
thf(sP1,plain,
( sP1
<=> ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
@ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> $false ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i,X2: $i] :
( ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i )
=> ~ ( connected_THFTYPE_IiioI @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
=> ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: $i] :
( ~ ( ~ ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
=> ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ X1 ) )
=> ~ sP1 )
=> ( 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,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [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,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
= ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ( ~ sP3 )
= ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_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 )
=> ~ ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ~ sP3 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( ~ sP12
=> ~ sP1 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
= ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ! [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,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( lCADE_BM_THFTYPE_i = lCADE_BM_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( ~ sP16
=> sP5 ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(con,conjecture,
sP2 ).
thf(h0,negated_conjecture,
~ sP2,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( sP9
| sP14
| ~ sP21 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP5
| sP2
| ~ sP17
| ~ sP9 ),
inference(mating_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP7
| sP20 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP20
| sP16
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP16
| sP12
| ~ sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP8
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP12
| ~ sP15
| ~ sP22 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP18
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP4
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP11
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP6
| ~ sP14
| ~ sP21 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
sP19,
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( sP17
| ~ sP19 ),
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
~ sP3,
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( sP10
| sP3
| sP21 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP13
| sP2
| ~ sP17
| ~ sP10 ),
inference(mating_rule,[status(thm)],]) ).
thf(ax_160,axiom,
sP13 ).
thf(ax_067,axiom,
sP15 ).
thf(ax_058,axiom,
sP4 ).
thf(ax_025,axiom,
sP22 ).
thf(ax_022,axiom,
sP1 ).
thf(ax_001,axiom,
sP18 ).
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_160,ax_067,ax_058,ax_025,ax_022,ax_001]) ).
thf(0,theorem,
sP2,
inference(contra,[status(thm),contra(discharge,[h0])],[17,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR141^2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 11 01:57:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 78.37/78.52 % SZS status Theorem
% 78.37/78.52 % Mode: mode498:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=16:SINE_RANK_LIMIT=1.:SINE_DEPTH=0
% 78.37/78.52 % Inferences: 882
% 78.37/78.52 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------