TSTP Solution File: PUZ090^5 by Lash---1.13
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- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : PUZ090^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n010.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 : Thu Aug 31 13:21:50 EDT 2023
% Result : Theorem 0.20s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cEAST,type,
cEAST: $o ).
thf(ty_cSUNSHINE,type,
cSUNSHINE: $o ).
thf(ty_cHEADACHE,type,
cHEADACHE: $o ).
thf(ty_cOPEN_DOOR,type,
cOPEN_DOOR: $o ).
thf(ty_cFLUTE,type,
cFLUTE: $o ).
thf(ty_cSMOKE,type,
cSMOKE: $o ).
thf(ty_cGUSTY,type,
cGUSTY: $o ).
thf(ty_cSMOKES,type,
cSMOKES: $o ).
thf(ty_cRHEUMATIC,type,
cRHEUMATIC: $o ).
thf(ty_cOPEN_WINDOW,type,
cOPEN_WINDOW: $o ).
thf(ty_cFIRE,type,
cFIRE: $o ).
thf(ty_cCOLD,type,
cCOLD: $o ).
thf(ty_cFOGGY,type,
cFOGGY: $o ).
thf(sP1,plain,
( sP1
<=> cEAST ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( cFOGGY
=> ~ cOPEN_WINDOW ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( cSUNSHINE
=> cFOGGY ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> cFOGGY ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( sP1
=> cSUNSHINE ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> cSUNSHINE ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> cOPEN_WINDOW ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(cTHM210,conjecture,
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP5
=> ~ ( ~ ( cCOLD
=> ~ sP4 )
=> cFLUTE ) )
=> ~ ( ~ ( cFIRE
=> ~ cSMOKE )
=> cOPEN_DOOR ) )
=> ~ ( ~ ( cCOLD
=> ~ cRHEUMATIC )
=> cFIRE ) )
=> ~ ( ~ ( sP1
=> ~ cGUSTY )
=> cSMOKES ) )
=> ~ ( cOPEN_DOOR
=> ~ cHEADACHE ) )
=> ~ sP2 )
=> ~ ( ~ ( ~ ( ~ cGUSTY
=> ~ cFIRE )
=> cOPEN_DOOR )
=> ~ cRHEUMATIC ) )
=> ~ sP3 )
=> ~ ( cFLUTE
=> ~ cOPEN_DOOR ) )
=> ~ ( ~ ( sP4
=> ~ sP1 )
=> cRHEUMATIC ) )
=> ( sP1
=> ~ sP7 ) ) ).
thf(h0,negated_conjecture,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP5
=> ~ ( ~ ( cCOLD
=> ~ sP4 )
=> cFLUTE ) )
=> ~ ( ~ ( cFIRE
=> ~ cSMOKE )
=> cOPEN_DOOR ) )
=> ~ ( ~ ( cCOLD
=> ~ cRHEUMATIC )
=> cFIRE ) )
=> ~ ( ~ ( sP1
=> ~ cGUSTY )
=> cSMOKES ) )
=> ~ ( cOPEN_DOOR
=> ~ cHEADACHE ) )
=> ~ sP2 )
=> ~ ( ~ ( ~ ( ~ cGUSTY
=> ~ cFIRE )
=> cOPEN_DOOR )
=> ~ cRHEUMATIC ) )
=> ~ sP3 )
=> ~ ( cFLUTE
=> ~ cOPEN_DOOR ) )
=> ~ ( ~ ( sP4
=> ~ sP1 )
=> cRHEUMATIC ) )
=> ( sP1
=> ~ sP7 ) ),
inference(assume_negation,[status(cth)],[cTHM210]) ).
thf(h1,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP5
=> ~ ( ~ ( cCOLD
=> ~ sP4 )
=> cFLUTE ) )
=> ~ ( ~ ( cFIRE
=> ~ cSMOKE )
=> cOPEN_DOOR ) )
=> ~ ( ~ ( cCOLD
=> ~ cRHEUMATIC )
=> cFIRE ) )
=> ~ ( ~ ( sP1
=> ~ cGUSTY )
=> cSMOKES ) )
=> ~ ( cOPEN_DOOR
=> ~ cHEADACHE ) )
=> ~ sP2 )
=> ~ ( ~ ( ~ ( ~ cGUSTY
=> ~ cFIRE )
=> cOPEN_DOOR )
=> ~ cRHEUMATIC ) )
=> ~ sP3 )
=> ~ ( cFLUTE
=> ~ cOPEN_DOOR ) )
=> ~ ( ~ ( sP4
=> ~ sP1 )
=> cRHEUMATIC ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( sP1
=> ~ sP7 ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP5
=> ~ ( ~ ( cCOLD
=> ~ sP4 )
=> cFLUTE ) )
=> ~ ( ~ ( cFIRE
=> ~ cSMOKE )
=> cOPEN_DOOR ) )
=> ~ ( ~ ( cCOLD
=> ~ cRHEUMATIC )
=> cFIRE ) )
=> ~ ( ~ ( sP1
=> ~ cGUSTY )
=> cSMOKES ) )
=> ~ ( cOPEN_DOOR
=> ~ cHEADACHE ) )
=> ~ sP2 )
=> ~ ( ~ ( ~ ( ~ cGUSTY
=> ~ cFIRE )
=> cOPEN_DOOR )
=> ~ cRHEUMATIC ) )
=> ~ sP3 )
=> ~ ( cFLUTE
=> ~ cOPEN_DOOR ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
( ~ ( sP4
=> ~ sP1 )
=> cRHEUMATIC ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP5
=> ~ ( ~ ( cCOLD
=> ~ sP4 )
=> cFLUTE ) )
=> ~ ( ~ ( cFIRE
=> ~ cSMOKE )
=> cOPEN_DOOR ) )
=> ~ ( ~ ( cCOLD
=> ~ cRHEUMATIC )
=> cFIRE ) )
=> ~ ( ~ ( sP1
=> ~ cGUSTY )
=> cSMOKES ) )
=> ~ ( cOPEN_DOOR
=> ~ cHEADACHE ) )
=> ~ sP2 )
=> ~ ( ~ ( ~ ( ~ cGUSTY
=> ~ cFIRE )
=> cOPEN_DOOR )
=> ~ cRHEUMATIC ) )
=> ~ sP3 ),
introduced(assumption,[]) ).
thf(h6,assumption,
( cFLUTE
=> ~ cOPEN_DOOR ),
introduced(assumption,[]) ).
thf(h7,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP5
=> ~ ( ~ ( cCOLD
=> ~ sP4 )
=> cFLUTE ) )
=> ~ ( ~ ( cFIRE
=> ~ cSMOKE )
=> cOPEN_DOOR ) )
=> ~ ( ~ ( cCOLD
=> ~ cRHEUMATIC )
=> cFIRE ) )
=> ~ ( ~ ( sP1
=> ~ cGUSTY )
=> cSMOKES ) )
=> ~ ( cOPEN_DOOR
=> ~ cHEADACHE ) )
=> ~ sP2 )
=> ~ ( ~ ( ~ ( ~ cGUSTY
=> ~ cFIRE )
=> cOPEN_DOOR )
=> ~ cRHEUMATIC ) ),
introduced(assumption,[]) ).
thf(h8,assumption,
sP3,
introduced(assumption,[]) ).
thf(h9,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP5
=> ~ ( ~ ( cCOLD
=> ~ sP4 )
=> cFLUTE ) )
=> ~ ( ~ ( cFIRE
=> ~ cSMOKE )
=> cOPEN_DOOR ) )
=> ~ ( ~ ( cCOLD
=> ~ cRHEUMATIC )
=> cFIRE ) )
=> ~ ( ~ ( sP1
=> ~ cGUSTY )
=> cSMOKES ) )
=> ~ ( cOPEN_DOOR
=> ~ cHEADACHE ) )
=> ~ sP2 ),
introduced(assumption,[]) ).
thf(h10,assumption,
( ~ ( ~ ( ~ cGUSTY
=> ~ cFIRE )
=> cOPEN_DOOR )
=> ~ cRHEUMATIC ),
introduced(assumption,[]) ).
thf(h11,assumption,
~ ( ~ ( ~ ( ~ ( ~ ( sP5
=> ~ ( ~ ( cCOLD
=> ~ sP4 )
=> cFLUTE ) )
=> ~ ( ~ ( cFIRE
=> ~ cSMOKE )
=> cOPEN_DOOR ) )
=> ~ ( ~ ( cCOLD
=> ~ cRHEUMATIC )
=> cFIRE ) )
=> ~ ( ~ ( sP1
=> ~ cGUSTY )
=> cSMOKES ) )
=> ~ ( cOPEN_DOOR
=> ~ cHEADACHE ) ),
introduced(assumption,[]) ).
thf(h12,assumption,
sP2,
introduced(assumption,[]) ).
thf(h13,assumption,
~ ( ~ ( ~ ( ~ ( sP5
=> ~ ( ~ ( cCOLD
=> ~ sP4 )
=> cFLUTE ) )
=> ~ ( ~ ( cFIRE
=> ~ cSMOKE )
=> cOPEN_DOOR ) )
=> ~ ( ~ ( cCOLD
=> ~ cRHEUMATIC )
=> cFIRE ) )
=> ~ ( ~ ( sP1
=> ~ cGUSTY )
=> cSMOKES ) ),
introduced(assumption,[]) ).
thf(h14,assumption,
( cOPEN_DOOR
=> ~ cHEADACHE ),
introduced(assumption,[]) ).
thf(h15,assumption,
~ ( ~ ( ~ ( sP5
=> ~ ( ~ ( cCOLD
=> ~ sP4 )
=> cFLUTE ) )
=> ~ ( ~ ( cFIRE
=> ~ cSMOKE )
=> cOPEN_DOOR ) )
=> ~ ( ~ ( cCOLD
=> ~ cRHEUMATIC )
=> cFIRE ) ),
introduced(assumption,[]) ).
thf(h16,assumption,
( ~ ( sP1
=> ~ cGUSTY )
=> cSMOKES ),
introduced(assumption,[]) ).
thf(h17,assumption,
~ ( ~ ( sP5
=> ~ ( ~ ( cCOLD
=> ~ sP4 )
=> cFLUTE ) )
=> ~ ( ~ ( cFIRE
=> ~ cSMOKE )
=> cOPEN_DOOR ) ),
introduced(assumption,[]) ).
thf(h18,assumption,
( ~ ( cCOLD
=> ~ cRHEUMATIC )
=> cFIRE ),
introduced(assumption,[]) ).
thf(h19,assumption,
~ ( sP5
=> ~ ( ~ ( cCOLD
=> ~ sP4 )
=> cFLUTE ) ),
introduced(assumption,[]) ).
thf(h20,assumption,
( ~ ( cFIRE
=> ~ cSMOKE )
=> cOPEN_DOOR ),
introduced(assumption,[]) ).
thf(h21,assumption,
sP5,
introduced(assumption,[]) ).
thf(h22,assumption,
( ~ ( cCOLD
=> ~ sP4 )
=> cFLUTE ),
introduced(assumption,[]) ).
thf(h23,assumption,
sP1,
introduced(assumption,[]) ).
thf(h24,assumption,
sP7,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP5
| ~ sP1
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP2
| ~ sP4
| ~ sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP3
| ~ sP6
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h23,h24,h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0])],[1,2,3,h21,h12,h8,h23,h24]) ).
thf(5,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h21,h22,h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h2,4,h23,h24]) ).
thf(6,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h19,h20,h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h21,h22])],[h19,5,h21,h22]) ).
thf(7,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h18,h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h19,h20])],[h17,6,h19,h20]) ).
thf(8,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h16,h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h15,7,h17,h18]) ).
thf(9,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h14,h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h15,h16])],[h13,8,h15,h16]) ).
thf(10,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h12,h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h11,9,h13,h14]) ).
thf(11,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h10,h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h9,10,h11,h12]) ).
thf(12,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h8,h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h7,11,h9,h10]) ).
thf(13,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h8])],[h5,12,h7,h8]) ).
thf(14,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h3,13,h5,h6]) ).
thf(15,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,14,h3,h4]) ).
thf(16,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,15,h1,h2]) ).
thf(0,theorem,
( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( sP5
=> ~ ( ~ ( cCOLD
=> ~ sP4 )
=> cFLUTE ) )
=> ~ ( ~ ( cFIRE
=> ~ cSMOKE )
=> cOPEN_DOOR ) )
=> ~ ( ~ ( cCOLD
=> ~ cRHEUMATIC )
=> cFIRE ) )
=> ~ ( ~ ( sP1
=> ~ cGUSTY )
=> cSMOKES ) )
=> ~ ( cOPEN_DOOR
=> ~ cHEADACHE ) )
=> ~ sP2 )
=> ~ ( ~ ( ~ ( ~ cGUSTY
=> ~ cFIRE )
=> cOPEN_DOOR )
=> ~ cRHEUMATIC ) )
=> ~ sP3 )
=> ~ ( cFLUTE
=> ~ cOPEN_DOOR ) )
=> ~ ( ~ ( sP4
=> ~ sP1 )
=> cRHEUMATIC ) )
=> ( sP1
=> ~ sP7 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[16,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ090^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 : Sat Aug 26 22:36:19 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.39 % SZS status Theorem
% 0.20/0.39 % Mode: cade22grackle2xfee4
% 0.20/0.39 % Steps: 8
% 0.20/0.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------