TSTP Solution File: PUZ090^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ090^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : Tue May 21 02:29:57 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 35 ( 7 unt; 13 typ; 0 def)
% Number of atoms : 520 ( 140 equ)
% Maximal formula atoms : 31 ( 23 avg)
% Number of connectives : 307 ( 89 ~; 42 |; 109 &)
% ( 2 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 280 ( 280 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 15 usr; 17 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
cOPEN_WINDOW: $o ).
tff(func_def_1,type,
cEAST: $o ).
tff(func_def_2,type,
cRHEUMATIC: $o ).
tff(func_def_3,type,
cFOGGY: $o ).
tff(func_def_4,type,
cOPEN_DOOR: $o ).
tff(func_def_5,type,
cFLUTE: $o ).
tff(func_def_6,type,
cSUNSHINE: $o ).
tff(func_def_7,type,
cFIRE: $o ).
tff(func_def_8,type,
cGUSTY: $o ).
tff(func_def_9,type,
cHEADACHE: $o ).
tff(func_def_10,type,
cSMOKES: $o ).
tff(func_def_11,type,
cCOLD: $o ).
tff(func_def_12,type,
cSMOKE: $o ).
tff(f86,plain,
$false,
inference(avatar_sat_refutation,[],[f53,f63,f85]) ).
tff(f85,plain,
spl0_5,
inference(avatar_split_clause,[],[f27,f50]) ).
tff(f50,plain,
( spl0_5
<=> ( cSUNSHINE = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
tff(f27,plain,
cSUNSHINE = $true,
inference(trivial_inequality_removal,[],[f26]) ).
tff(f26,plain,
( ( cSUNSHINE = $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f10,f21]) ).
tff(f21,plain,
cEAST = $true,
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
( ( cOPEN_WINDOW = $true )
& ( cEAST = $true )
& ( ( cRHEUMATIC = $true )
| ( cEAST != $true )
| ( cFOGGY != $true ) )
& ( ( cOPEN_DOOR != $true )
| ( cFLUTE != $true ) )
& ( ( cFOGGY = $true )
| ( cSUNSHINE != $true ) )
& ( ( cRHEUMATIC != $true )
| ( cOPEN_DOOR = $true )
| ( cFIRE != $true )
| ( cGUSTY = $true ) )
& ( ( cOPEN_WINDOW != $true )
| ( cFOGGY != $true ) )
& ( ( cHEADACHE != $true )
| ( cOPEN_DOOR != $true ) )
& ( ( cSMOKES = $true )
| ( cGUSTY != $true )
| ( cEAST != $true ) )
& ( ( cFIRE = $true )
| ( cRHEUMATIC != $true )
| ( cCOLD != $true ) )
& ( ( cOPEN_DOOR = $true )
| ( cSMOKE != $true )
| ( cFIRE != $true ) )
& ( ( cFLUTE = $true )
| ( cFOGGY != $true )
| ( cCOLD != $true ) )
& ( ( cSUNSHINE = $true )
| ( cEAST != $true ) ) ),
inference(flattening,[],[f8]) ).
tff(f8,plain,
( ( cOPEN_WINDOW = $true )
& ( cEAST = $true )
& ( ( cRHEUMATIC = $true )
| ( cEAST != $true )
| ( cFOGGY != $true ) )
& ( ( cOPEN_DOOR != $true )
| ( cFLUTE != $true ) )
& ( ( cFOGGY = $true )
| ( cSUNSHINE != $true ) )
& ( ( cRHEUMATIC != $true )
| ( cOPEN_DOOR = $true )
| ( cFIRE != $true )
| ( cGUSTY = $true ) )
& ( ( cOPEN_WINDOW != $true )
| ( cFOGGY != $true ) )
& ( ( cHEADACHE != $true )
| ( cOPEN_DOOR != $true ) )
& ( ( cSMOKES = $true )
| ( cGUSTY != $true )
| ( cEAST != $true ) )
& ( ( cFIRE = $true )
| ( cRHEUMATIC != $true )
| ( cCOLD != $true ) )
& ( ( cOPEN_DOOR = $true )
| ( cSMOKE != $true )
| ( cFIRE != $true ) )
& ( ( cFLUTE = $true )
| ( cFOGGY != $true )
| ( cCOLD != $true ) )
& ( ( cSUNSHINE = $true )
| ( cEAST != $true ) ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ( ( ( ( ( cEAST = $true )
& ( cFOGGY = $true ) )
=> ( cRHEUMATIC = $true ) )
& ( ( cFLUTE = $true )
=> ( cOPEN_DOOR != $true ) )
& ( ( cSUNSHINE = $true )
=> ( cFOGGY = $true ) )
& ( ( ( cOPEN_DOOR != $true )
& ( cFIRE = $true )
& ( cGUSTY != $true ) )
=> ( cRHEUMATIC != $true ) )
& ( ( cFOGGY = $true )
=> ( cOPEN_WINDOW != $true ) )
& ( ( cOPEN_DOOR = $true )
=> ( cHEADACHE != $true ) )
& ( ( ( cGUSTY = $true )
& ( cEAST = $true ) )
=> ( cSMOKES = $true ) )
& ( ( ( cRHEUMATIC = $true )
& ( cCOLD = $true ) )
=> ( cFIRE = $true ) )
& ( ( ( cSMOKE = $true )
& ( cFIRE = $true ) )
=> ( cOPEN_DOOR = $true ) )
& ( ( ( cFOGGY = $true )
& ( cCOLD = $true ) )
=> ( cFLUTE = $true ) )
& ( ( cEAST = $true )
=> ( cSUNSHINE = $true ) ) )
=> ( ( cEAST = $true )
=> ( cOPEN_WINDOW != $true ) ) ),
inference(flattening,[],[f6]) ).
tff(f6,plain,
~ ( ( ( ( ( cEAST = $true )
& ( cFOGGY = $true ) )
=> ( cRHEUMATIC = $true ) )
& ( ( cFLUTE = $true )
=> ( cOPEN_DOOR != $true ) )
& ( ( cSUNSHINE = $true )
=> ( cFOGGY = $true ) )
& ( ( ( cOPEN_DOOR != $true )
& ( cFIRE = $true )
& ( cGUSTY != $true ) )
=> ( cRHEUMATIC != $true ) )
& ( ( cFOGGY = $true )
=> ( cOPEN_WINDOW != $true ) )
& ( ( cOPEN_DOOR = $true )
=> ( cHEADACHE != $true ) )
& ( ( ( cGUSTY = $true )
& ( cEAST = $true ) )
=> ( cSMOKES = $true ) )
& ( ( ( cRHEUMATIC = $true )
& ( cCOLD = $true ) )
=> ( cFIRE = $true ) )
& ( ( ( cSMOKE = $true )
& ( cFIRE = $true ) )
=> ( cOPEN_DOOR = $true ) )
& ( ( ( cFOGGY = $true )
& ( cCOLD = $true ) )
=> ( cFLUTE = $true ) )
& ( ( cEAST = $true )
=> ( cSUNSHINE = $true ) ) )
=> ( ( cEAST = $true )
=> ( cOPEN_WINDOW != $true ) ) ),
inference(fool_elimination,[],[f5]) ).
tff(f5,plain,
~ ( ( ( ( cEAST
& cFOGGY )
=> cRHEUMATIC )
& ( cFLUTE
=> ~ cOPEN_DOOR )
& ( cSUNSHINE
=> cFOGGY )
& ( ( ~ cOPEN_DOOR
& cFIRE
& ~ cGUSTY )
=> ~ cRHEUMATIC )
& ( cFOGGY
=> ~ cOPEN_WINDOW )
& ( cOPEN_DOOR
=> ~ cHEADACHE )
& ( ( cGUSTY
& cEAST )
=> cSMOKES )
& ( ( cRHEUMATIC
& cCOLD )
=> cFIRE )
& ( ( cSMOKE
& cFIRE )
=> cOPEN_DOOR )
& ( ( cFOGGY
& cCOLD )
=> cFLUTE )
& ( cEAST
=> cSUNSHINE ) )
=> ( cEAST
=> ~ cOPEN_WINDOW ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( ( cEAST
& cFOGGY )
=> cRHEUMATIC )
& ( cFLUTE
=> ~ cOPEN_DOOR )
& ( cSUNSHINE
=> cFOGGY )
& ( ( ~ cOPEN_DOOR
& cFIRE
& ~ cGUSTY )
=> ~ cRHEUMATIC )
& ( cFOGGY
=> ~ cOPEN_WINDOW )
& ( cOPEN_DOOR
=> ~ cHEADACHE )
& ( ( cGUSTY
& cEAST )
=> cSMOKES )
& ( ( cRHEUMATIC
& cCOLD )
=> cFIRE )
& ( ( cSMOKE
& cFIRE )
=> cOPEN_DOOR )
& ( ( cFOGGY
& cCOLD )
=> cFLUTE )
& ( cEAST
=> cSUNSHINE ) )
=> ( cEAST
=> ~ cOPEN_WINDOW ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ( ( cEAST
& cFOGGY )
=> cRHEUMATIC )
& ( cFLUTE
=> ~ cOPEN_DOOR )
& ( cSUNSHINE
=> cFOGGY )
& ( ( ~ cOPEN_DOOR
& cFIRE
& ~ cGUSTY )
=> ~ cRHEUMATIC )
& ( cFOGGY
=> ~ cOPEN_WINDOW )
& ( cOPEN_DOOR
=> ~ cHEADACHE )
& ( ( cGUSTY
& cEAST )
=> cSMOKES )
& ( ( cRHEUMATIC
& cCOLD )
=> cFIRE )
& ( ( cSMOKE
& cFIRE )
=> cOPEN_DOOR )
& ( ( cFOGGY
& cCOLD )
=> cFLUTE )
& ( cEAST
=> cSUNSHINE ) )
=> ( cEAST
=> ~ cOPEN_WINDOW ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM210) ).
tff(f10,plain,
( ( cSUNSHINE = $true )
| ( cEAST != $true ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f63,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f29,f32]) ).
tff(f32,plain,
( spl0_1
<=> ( cFOGGY = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f29,plain,
cFOGGY != $true,
inference(trivial_inequality_removal,[],[f24]) ).
tff(f24,plain,
( ( $true != $true )
| ( cFOGGY != $true ) ),
inference(definition_unfolding,[],[f16,f22]) ).
tff(f22,plain,
cOPEN_WINDOW = $true,
inference(cnf_transformation,[],[f9]) ).
tff(f16,plain,
( ( cOPEN_WINDOW != $true )
| ( cFOGGY != $true ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f53,plain,
( ~ spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f18,f32,f50]) ).
tff(f18,plain,
( ( cFOGGY = $true )
| ( cSUNSHINE != $true ) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : PUZ090^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 10:59:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (7628)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (7629)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (7630)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (7633)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (7634)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 Detected minimum model sizes of [1]
% 0.14/0.37 Detected maximum model sizes of [13]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (7632)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 Detected minimum model sizes of [1]
% 0.14/0.37 Detected maximum model sizes of [13]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 % (7631)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37 % (7633)Also succeeded, but the first one will report.
% 0.14/0.37 % (7634)First to succeed.
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (7635)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 TRYING [5]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [6]
% 0.14/0.37 Detected minimum model sizes of [1]
% 0.14/0.37 Detected maximum model sizes of [13]
% 0.14/0.37 % (7634)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7628"
% 0.14/0.37 TRYING [5]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [7]
% 0.14/0.37 TRYING [6]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (7634)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (7634)------------------------------
% 0.14/0.37 % (7634)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (7634)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (7634)Memory used [KB]: 740
% 0.14/0.37 % (7634)Time elapsed: 0.003 s
% 0.14/0.37 % (7634)Instructions burned: 4 (million)
% 0.14/0.37 % (7628)Success in time 0.017 s
%------------------------------------------------------------------------------