%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : PUZ090^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n024.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 Feb 25 09:28:27 AM UTC 2026
% Result : Theorem 1.01s 0.90s
% Output : Refutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 511 ( 139 equ)
% Maximal formula atoms : 31 ( 28 avg)
% Number of connectives : 303 ( 88 ~; 41 |; 109 &)
% ( 0 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 278 ( 278 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 13 usr; 15 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(f74,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f27,f58]) ).
tff(f58,plain,
cSUNSHINE != $true,
inference(subsumption_resolution,[status(thm)],[f15,f29]) ).
tff(f29,plain,
cFOGGY != $true,
inference(trivial_inequality_removal,[status(thm)],[f23]) ).
tff(f23,plain,
( ( $true != $true )
| ( cFOGGY != $true ) ),
inference(definition_unfolding,[status(thm)],[f22,f20]) ).
tff(f20,plain,
cOPEN_WINDOW = $true,
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f9,plain,
( ( ( cOPEN_WINDOW != $true )
| ( cFOGGY != $true ) )
& ( ( cOPEN_DOOR = $true )
| ( cSMOKE != $true )
| ( cFIRE != $true ) )
& ( cOPEN_WINDOW = $true )
& ( ( cEAST != $true )
| ( cSUNSHINE = $true ) )
& ( cEAST = $true )
& ( ( cOPEN_DOOR != $true )
| ( cHEADACHE != $true ) )
& ( ( cFLUTE != $true )
| ( cOPEN_DOOR != $true ) )
& ( ( cFOGGY = $true )
| ( cSUNSHINE != $true ) )
& ( ( cGUSTY != $true )
| ( cSMOKES = $true )
| ( cEAST != $true ) )
& ( ( cCOLD != $true )
| ( cFLUTE = $true )
| ( cFOGGY != $true ) )
& ( ( cRHEUMATIC = $true )
| ( cEAST != $true )
| ( cFOGGY != $true ) )
& ( ( cRHEUMATIC != $true )
| ( cFIRE != $true )
| ( cOPEN_DOOR = $true )
| ( cGUSTY = $true ) )
& ( ( cRHEUMATIC != $true )
| ( cCOLD != $true )
| ( cFIRE = $true ) ) ),
inference(flattening,[status(thm)],[f8]) ).
tff(f8,plain,
( ( cOPEN_WINDOW = $true )
& ( cEAST = $true )
& ( ( cSMOKES = $true )
| ( cGUSTY != $true )
| ( cEAST != $true ) )
& ( ( cOPEN_WINDOW != $true )
| ( cFOGGY != $true ) )
& ( ( cFLUTE != $true )
| ( cOPEN_DOOR != $true ) )
& ( ( cRHEUMATIC != $true )
| ( cFIRE != $true )
| ( cOPEN_DOOR = $true )
| ( cGUSTY = $true ) )
& ( ( cFLUTE = $true )
| ( cFOGGY != $true )
| ( cCOLD != $true ) )
& ( ( cOPEN_DOOR = $true )
| ( cSMOKE != $true )
| ( cFIRE != $true ) )
& ( ( cFOGGY = $true )
| ( cSUNSHINE != $true ) )
& ( ( cEAST != $true )
| ( cSUNSHINE = $true ) )
& ( ( cOPEN_DOOR != $true )
| ( cHEADACHE != $true ) )
& ( ( cFIRE = $true )
| ( cCOLD != $true )
| ( cRHEUMATIC != $true ) )
& ( ( cRHEUMATIC = $true )
| ( cEAST != $true )
| ( cFOGGY != $true ) ) ),
inference(ennf_transformation,[status(thm)],[f7]) ).
tff(f7,plain,
~ ( ( ( ( ( cGUSTY = $true )
& ( cEAST = $true ) )
=> ( cSMOKES = $true ) )
& ( ( cFOGGY = $true )
=> ( cOPEN_WINDOW != $true ) )
& ( ( cFLUTE = $true )
=> ( cOPEN_DOOR != $true ) )
& ( ( ( cFIRE = $true )
& ( cOPEN_DOOR != $true )
& ( cGUSTY != $true ) )
=> ( cRHEUMATIC != $true ) )
& ( ( ( cFOGGY = $true )
& ( cCOLD = $true ) )
=> ( cFLUTE = $true ) )
& ( ( ( cSMOKE = $true )
& ( cFIRE = $true ) )
=> ( cOPEN_DOOR = $true ) )
& ( ( cSUNSHINE = $true )
=> ( cFOGGY = $true ) )
& ( ( cEAST = $true )
=> ( cSUNSHINE = $true ) )
& ( ( cOPEN_DOOR = $true )
=> ( cHEADACHE != $true ) )
& ( ( ( cCOLD = $true )
& ( cRHEUMATIC = $true ) )
=> ( cFIRE = $true ) )
& ( ( ( cEAST = $true )
& ( cFOGGY = $true ) )
=> ( cRHEUMATIC = $true ) ) )
=> ( ( cEAST = $true )
=> ( cOPEN_WINDOW != $true ) ) ),
inference(flattening,[status(thm)],[f6]) ).
tff(f6,plain,
~ ( ( ( ( ( cGUSTY = $true )
& ( cEAST = $true ) )
=> ( cSMOKES = $true ) )
& ( ( ( cEAST = $true )
& ( cFOGGY = $true ) )
=> ( cRHEUMATIC = $true ) )
& ( ( ( cFOGGY = $true )
& ( cCOLD = $true ) )
=> ( cFLUTE = $true ) )
& ( ( cOPEN_DOOR = $true )
=> ( cHEADACHE != $true ) )
& ( ( ( cCOLD = $true )
& ( cRHEUMATIC = $true ) )
=> ( cFIRE = $true ) )
& ( ( cFOGGY = $true )
=> ( cOPEN_WINDOW != $true ) )
& ( ( cSUNSHINE = $true )
=> ( cFOGGY = $true ) )
& ( ( ( cSMOKE = $true )
& ( cFIRE = $true ) )
=> ( cOPEN_DOOR = $true ) )
& ( ( cFLUTE = $true )
=> ( cOPEN_DOOR != $true ) )
& ( ( ( cOPEN_DOOR != $true )
& ( cGUSTY != $true )
& ( cFIRE = $true ) )
=> ( cRHEUMATIC != $true ) )
& ( ( cEAST = $true )
=> ( cSUNSHINE = $true ) ) )
=> ( ( cEAST = $true )
=> ( cOPEN_WINDOW != $true ) ) ),
inference(fool_elimination,[status(thm)],[f5]) ).
tff(f5,plain,
~ ( ( ( ( cGUSTY
& cEAST )
=> cSMOKES )
& ( ( cFOGGY
& cEAST )
=> cRHEUMATIC )
& ( ( cCOLD
& cFOGGY )
=> cFLUTE )
& ( cOPEN_DOOR
=> ~ cHEADACHE )
& ( ( cCOLD
& cRHEUMATIC )
=> cFIRE )
& ( cFOGGY
=> ~ cOPEN_WINDOW )
& ( cSUNSHINE
=> cFOGGY )
& ( ( cSMOKE
& cFIRE )
=> cOPEN_DOOR )
& ( cFLUTE
=> ~ cOPEN_DOOR )
& ( ( ~ cOPEN_DOOR
& ~ cGUSTY
& cFIRE )
=> ~ cRHEUMATIC )
& ( cEAST
=> cSUNSHINE ) )
=> ( cEAST
=> ~ cOPEN_WINDOW ) ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( ( cGUSTY
& cEAST )
=> cSMOKES )
& ( ( cFOGGY
& cEAST )
=> cRHEUMATIC )
& ( ( cCOLD
& cFOGGY )
=> cFLUTE )
& ( cOPEN_DOOR
=> ~ cHEADACHE )
& ( ( cCOLD
& cRHEUMATIC )
=> cFIRE )
& ( cFOGGY
=> ~ cOPEN_WINDOW )
& ( cSUNSHINE
=> cFOGGY )
& ( ( cSMOKE
& cFIRE )
=> cOPEN_DOOR )
& ( cFLUTE
=> ~ cOPEN_DOOR )
& ( ( ~ cOPEN_DOOR
& ~ cGUSTY
& cFIRE )
=> ~ cRHEUMATIC )
& ( cEAST
=> cSUNSHINE ) )
=> ( cEAST
=> ~ cOPEN_WINDOW ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
( ( ( ( cGUSTY
& cEAST )
=> cSMOKES )
& ( ( cFOGGY
& cEAST )
=> cRHEUMATIC )
& ( ( cCOLD
& cFOGGY )
=> cFLUTE )
& ( cOPEN_DOOR
=> ~ cHEADACHE )
& ( ( cCOLD
& cRHEUMATIC )
=> cFIRE )
& ( cFOGGY
=> ~ cOPEN_WINDOW )
& ( cSUNSHINE
=> cFOGGY )
& ( ( cSMOKE
& cFIRE )
=> cOPEN_DOOR )
& ( cFLUTE
=> ~ cOPEN_DOOR )
& ( ( ~ cOPEN_DOOR
& ~ cGUSTY
& cFIRE )
=> ~ cRHEUMATIC )
& ( cEAST
=> cSUNSHINE ) )
=> ( cEAST
=> ~ cOPEN_WINDOW ) ),
file('/export/starexec/sandbox2/tmp/tmp.0vCYD4D4qR/DTF2THF_27348.p',cTHM210) ).
tff(f22,plain,
( ( cOPEN_WINDOW != $true )
| ( cFOGGY != $true ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f15,plain,
( ( cSUNSHINE != $true )
| ( cFOGGY = $true ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f27,plain,
cSUNSHINE = $true,
inference(trivial_inequality_removal,[status(thm)],[f24]) ).
tff(f24,plain,
( ( $true != $true )
| ( cSUNSHINE = $true ) ),
inference(definition_unfolding,[status(thm)],[f19,f18]) ).
tff(f18,plain,
cEAST = $true,
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f19,plain,
( ( cEAST != $true )
| ( cSUNSHINE = $true ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : PUZ090^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.06/0.25 % Computer : n024.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue Feb 24 06:33:55 EST 2026
% 0.06/0.25 % CPUTime :
% 0.06/0.25 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.06/0.31 ---- Original DTF file ---
% 0.06/0.31 thf(spec,logic,$$dhol).
% 0.06/0.31 %------------------------------------------------------------------------------
% 0.06/0.31 % File : PUZ090^5 : TPTP v9.2.1. Released v4.0.0.
% 0.06/0.31 % Domain : Puzzles
% 0.06/0.31 % Problem : TPS problem THM210
% 0.06/0.31 % Version : Especial.
% 0.06/0.31 % English : Lewis Carroll's problem of the winds and windows; from the Ninth
% 0.06/0.31 % Paper on Logic, November 1892.
% 0.06/0.31
% 0.06/0.31 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.06/0.31 % Source : [Bro09]
% 0.06/0.31 % Names : tps_0336 [Bro09]
% 0.06/0.31 % : THM210 [TPS]
% 0.06/0.31
% 0.06/0.31 % Status : Theorem
% 0.06/0.31 % Rating : 0.17 v9.1.0, 0.12 v9.0.0, 0.17 v8.2.0, 0.18 v8.1.0, 0.08 v7.4.0, 0.11 v7.3.0, 0.10 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v6.1.0, 0.17 v6.0.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.0.0
% 0.06/0.31 % Syntax : Number of formulae : 14 ( 0 unt; 13 typ; 0 def)
% 0.06/0.31 % Number of atoms : 31 ( 0 equ; 0 cnn)
% 0.06/0.31 % Maximal formula atoms : 31 ( 31 avg)
% 0.06/0.31 % Number of connectives : 37 ( 7 ~; 0 |; 17 &; 0 @)
% 0.06/0.31 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.06/0.31 % Maximal formula depth : 14 ( 14 avg)
% 0.06/0.31 % Number of types : 1 ( 0 usr)
% 0.06/0.31 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.06/0.31 % Number of symbols : 13 ( 13 usr; 13 con; 0-0 aty)
% 0.06/0.31 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.06/0.31 % SPC : TH0_THM_NEQ_NAR
% 0.06/0.31
% 0.06/0.31 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.06/0.31 % project in the Department of Mathematical Sciences at Carnegie
% 0.06/0.31 % Mellon University. Distributed under the Creative Commons copyleft
% 0.06/0.31 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.06/0.31 %------------------------------------------------------------------------------
% 0.06/0.31 thf(cOPEN_WINDOW,type,
% 0.06/0.31 cOPEN_WINDOW: $o ).
% 0.06/0.31
% 0.06/0.31 thf(cEAST,type,
% 0.06/0.31 cEAST: $o ).
% 0.06/0.31
% 0.06/0.31 thf(cRHEUMATIC,type,
% 0.06/0.31 cRHEUMATIC: $o ).
% 0.06/0.31
% 0.06/0.31 thf(cFOGGY,type,
% 0.06/0.31 cFOGGY: $o ).
% 0.06/0.31
% 0.06/0.31 thf(cOPEN_DOOR,type,
% 0.06/0.31 cOPEN_DOOR: $o ).
% 0.06/0.31
% 0.06/0.31 thf(cFLUTE,type,
% 0.06/0.31 cFLUTE: $o ).
% 0.06/0.31
% 0.06/0.31 thf(cSUNSHINE,type,
% 0.06/0.31 cSUNSHINE: $o ).
% 0.06/0.31
% 0.06/0.31 thf(cFIRE,type,
% 0.06/0.31 cFIRE: $o ).
% 0.06/0.31
% 0.06/0.31 thf(cGUSTY,type,
% 0.06/0.31 cGUSTY: $o ).
% 0.06/0.31
% 0.06/0.31 thf(cHEADACHE,type,
% 0.06/0.31 cHEADACHE: $o ).
% 0.06/0.31
% 0.06/0.31 thf(cSMOKES,type,
% 0.06/0.31 cSMOKES: $o ).
% 0.06/0.31
% 0.06/0.31 thf(cCOLD,type,
% 0.06/0.31 cCOLD: $o ).
% 0.06/0.31
% 0.06/0.31 thf(cSMOKE,type,
% 0.06/0.31 cSMOKE: $o ).
% 0.06/0.31
% 0.06/0.31 thf(cTHM210,conjecture,
% 0.06/0.31 ( ( ( cEAST
% 0.06/0.31 => cSUNSHINE )
% 0.06/0.31 & ( ( cCOLD
% 0.06/0.31 & cFOGGY )
% 0.06/0.31 => cFLUTE )
% 0.06/0.31 & ( ( cFIRE
% 0.06/0.31 & cSMOKE )
% 0.06/0.31 => cOPEN_DOOR )
% 0.06/0.31 & ( ( cCOLD
% 0.06/0.31 & cRHEUMATIC )
% 0.06/0.31 => cFIRE )
% 0.06/0.31 & ( ( cEAST
% 0.06/0.31 & cGUSTY )
% 0.06/0.31 => cSMOKES )
% 0.06/0.31 & ( cOPEN_DOOR
% 0.06/0.31 => ~ cHEADACHE )
% 0.06/0.31 & ( cFOGGY
% 0.06/0.31 => ~ cOPEN_WINDOW )
% 0.06/0.31 & ( ( ~ cGUSTY
% 0.06/0.31 & cFIRE
% 0.06/0.31 & ~ cOPEN_DOOR )
% 0.06/0.31 => ~ cRHEUMATIC )
% 0.06/0.31 & ( cSUNSHINE
% 0.06/0.31 => cFOGGY )
% 0.06/0.31 & ( cFLUTE
% 0.06/0.31 => ~ cOPEN_DOOR )
% 0.06/0.31 & ( ( cFOGGY
% 0.06/0.31 & cEAST )
% 0.06/0.31 => cRHEUMATIC ) )
% 0.06/0.31 => ( cEAST
% 0.06/0.31 => ~ cOPEN_WINDOW ) ) ).
% 0.06/0.31
% 0.06/0.31 %------------------------------------------------------------------------------
% 0.06/0.31 ------------------------
% 0.83/0.88 ---- Embedded in THF ---
% 0.83/0.88 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 0.83/0.88 %%% Generated on Tue Feb 24 06:33:56 EST 2026
% 0.83/0.88 %%% using '$$dhol' embedding, version 1.3.0.
% 0.83/0.88 %%% Logic specification used:
% 0.83/0.88 %%% thf(spec, logic, $$dhol).
% 0.83/0.88
% 0.83/0.88 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.0vCYD4D4qR/DTF2DTF27348.p
% See solution above
% 0.83/0.88 ------------------------
% 0.83/0.89 ---- Cleaned THF ---
% 0.83/0.89 thf(cOPEN_WINDOW,type,
% 0.83/0.89 cOPEN_WINDOW: $o ).
% 0.83/0.89
% 0.83/0.89 thf(cEAST,type,
% 0.83/0.89 cEAST: $o ).
% 0.83/0.89
% 0.83/0.89 thf(cRHEUMATIC,type,
% 0.83/0.89 cRHEUMATIC: $o ).
% 0.83/0.89
% 0.83/0.89 thf(cFOGGY,type,
% 0.83/0.89 cFOGGY: $o ).
% 0.83/0.89
% 0.83/0.89 thf(cOPEN_DOOR,type,
% 0.83/0.89 cOPEN_DOOR: $o ).
% 0.83/0.89
% 0.83/0.89 thf(cFLUTE,type,
% 0.83/0.89 cFLUTE: $o ).
% 0.83/0.89
% 0.83/0.89 thf(cSUNSHINE,type,
% 0.83/0.89 cSUNSHINE: $o ).
% 0.83/0.89
% 0.83/0.89 thf(cFIRE,type,
% 0.83/0.89 cFIRE: $o ).
% 0.83/0.89
% 0.83/0.89 thf(cGUSTY,type,
% 0.83/0.89 cGUSTY: $o ).
% 0.83/0.89
% 0.83/0.89 thf(cHEADACHE,type,
% 0.83/0.89 cHEADACHE: $o ).
% 0.83/0.89
% 0.83/0.89 thf(cSMOKES,type,
% 0.83/0.89 cSMOKES: $o ).
% 0.83/0.89
% 0.83/0.89 thf(cCOLD,type,
% 0.83/0.89 cCOLD: $o ).
% 0.83/0.89
% 0.83/0.89 thf(cSMOKE,type,
% 0.83/0.89 cSMOKE: $o ).
% 0.83/0.89
% 0.83/0.89 thf(cTHM210,conjecture,
% 0.83/0.89 ( ( ( cEAST
% 0.83/0.89 => cSUNSHINE )
% 0.83/0.89 & ( ( cCOLD
% 0.83/0.89 & cFOGGY )
% 0.83/0.89 => cFLUTE )
% 0.83/0.89 & ( ( cFIRE
% 0.83/0.89 & cSMOKE )
% 0.83/0.89 => cOPEN_DOOR )
% 0.83/0.89 & ( ( cCOLD
% 0.83/0.89 & cRHEUMATIC )
% 0.83/0.89 => cFIRE )
% 0.83/0.89 & ( ( cEAST
% 0.83/0.89 & cGUSTY )
% 0.83/0.89 => cSMOKES )
% 0.83/0.89 & ( cOPEN_DOOR
% 0.83/0.89 => ~ cHEADACHE )
% 0.83/0.89 & ( cFOGGY
% 0.83/0.89 => ~ cOPEN_WINDOW )
% 0.83/0.89 & ( ( ~ cGUSTY
% 0.83/0.89 & cFIRE
% 0.83/0.89 & ~ cOPEN_DOOR )
% 0.83/0.89 => ~ cRHEUMATIC )
% 0.83/0.89 & ( cSUNSHINE
% 0.83/0.89 => cFOGGY )
% 0.83/0.89 & ( cFLUTE
% 0.83/0.89 => ~ cOPEN_DOOR )
% 0.83/0.89 & ( ( cFOGGY
% 0.83/0.89 & cEAST )
% 0.83/0.89 => cRHEUMATIC ) )
% 0.83/0.89 => ( cEAST
% 0.83/0.89 => ~ cOPEN_WINDOW ) ) ).
% 0.83/0.89 ------------------------
% 1.01/0.90 % (27450)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_27348 for (3000ds/275Mi)
% 1.01/0.90 % (27449)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_27348 for (3000ds/2Mi)
% 1.01/0.90 % (27448)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_27348 for (3000ds/2Mi)
% 1.01/0.90 % (27447)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_27348 for (3000ds/27Mi)
% 1.01/0.90 % (27451)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_27348 for (3000ds/18Mi)
% 1.01/0.90 % (27446)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_27348 for (3000ds/4Mi)
% 1.01/0.90 % (27445)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_27348 for (3000ds/183Mi)
% 1.01/0.90 % (27448)Instruction limit reached!
% 1.01/0.90 % (27448)------------------------------
% 1.01/0.90 % (27448)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.01/0.90 % (27448)Termination reason: Unknown
% 1.01/0.90 % (27449)Instruction limit reached!
% 1.01/0.90 % (27449)------------------------------
% 1.01/0.90 % (27449)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.01/0.90 % (27448)Termination phase: Saturation
% 1.01/0.90
% 1.01/0.90 % (27448)Memory used [KB]: 5500
% 1.01/0.90 % (27448)Time elapsed: 0.002 s
% 1.01/0.90 % (27448)Instructions burned: 2 (million)
% 1.01/0.90 % (27448)------------------------------
% 1.01/0.90 % (27448)------------------------------
% 1.01/0.90 % (27450)First to succeed.
% 1.01/0.90 % (27449)Termination reason: Unknown
% 1.01/0.90 % (27449)Termination phase: Saturation
% 1.01/0.90
% 1.01/0.90 % (27449)Memory used [KB]: 5500
% 1.01/0.90 % (27449)Time elapsed: 0.002 s
% 1.01/0.90 % (27449)Instructions burned: 2 (million)
% 1.01/0.90 % (27449)------------------------------
% 1.01/0.90 % (27449)------------------------------
% 1.01/0.90 % (27446)Also succeeded, but the first one will report.
% 1.01/0.90 % (27451)Also succeeded, but the first one will report.
% 1.01/0.90 % (27450)Refutation found. Thanks to Tanya!
% 1.01/0.90 % SZS status Theorem for DTF2THF_27348
% 1.01/0.90 % SZS output start Proof for DTF2THF_27348
% 1.01/0.90 tff(f74,plain,(
% 1.01/0.90 $false),
% 1.01/0.90 inference(subsumption_resolution,[status(thm)],[f27,f58])).
% 1.01/0.90 tff(f58,plain,(
% 1.01/0.90 (cSUNSHINE != $true)),
% 1.01/0.90 inference(subsumption_resolution,[status(thm)],[f15,f29])).
% 1.01/0.90 tff(f29,plain,(
% 1.01/0.90 (cFOGGY != $true)),
% 1.01/0.90 inference(trivial_inequality_removal,[status(thm)],[f23])).
% 1.01/0.90 tff(f23,plain,(
% 1.01/0.90 ($true != $true) | (cFOGGY != $true)),
% 1.01/0.90 inference(definition_unfolding,[status(thm)],[f22,f20])).
% 1.01/0.90 tff(f20,plain,(
% 1.01/0.90 (cOPEN_WINDOW = $true)),
% 1.01/0.90 inference(cnf_transformation,[status(thm)],[f9])).
% 1.01/0.90 tff(f9,plain,(
% 1.01/0.90 ((cOPEN_WINDOW != $true) | (cFOGGY != $true)) & ((cOPEN_DOOR = $true) | (cSMOKE != $true) | (cFIRE != $true)) & (cOPEN_WINDOW = $true) & ((cEAST != $true) | (cSUNSHINE = $true)) & (cEAST = $true) & ((cOPEN_DOOR != $true) | (cHEADACHE != $true)) & ((cFLUTE != $true) | (cOPEN_DOOR != $true)) & ((cFOGGY = $true) | (cSUNSHINE != $true)) & ((cGUSTY != $true) | (cSMOKES = $true) | (cEAST != $true)) & ((cCOLD != $true) | (cFLUTE = $true) | (cFOGGY != $true)) & ((cRHEUMATIC = $true) | (cEAST != $true) | (cFOGGY != $true)) & ((cRHEUMATIC != $true) | (cFIRE != $true) | (cOPEN_DOOR = $true) | (cGUSTY = $true)) & ((cRHEUMATIC != $true) | (cCOLD != $true) | (cFIRE = $true))),
% 1.01/0.90 inference(flattening,[status(thm)],[f8])).
% 1.01/0.90 tff(f8,plain,(
% 1.01/0.90 ((cOPEN_WINDOW = $true) & (cEAST = $true)) & (((cSMOKES = $true) | ((cGUSTY != $true) | (cEAST != $true))) & ((cOPEN_WINDOW != $true) | (cFOGGY != $true)) & ((cFLUTE != $true) | (cOPEN_DOOR != $true)) & ((cRHEUMATIC != $true) | ((cFIRE != $true) | (cOPEN_DOOR = $true) | (cGUSTY = $true))) & ((cFLUTE = $true) | ((cFOGGY != $true) | (cCOLD != $true))) & ((cOPEN_DOOR = $true) | ((cSMOKE != $true) | (cFIRE != $true))) & ((cFOGGY = $true) | (cSUNSHINE != $true)) & ((cEAST != $true) | (cSUNSHINE = $true)) & ((cOPEN_DOOR != $true) | (cHEADACHE != $true)) & ((cFIRE = $true) | ((cCOLD != $true) | (cRHEUMATIC != $true))) & ((cRHEUMATIC = $true) | ((cEAST != $true) | (cFOGGY != $true))))),
% 1.01/0.90 inference(ennf_transformation,[status(thm)],[f7])).
% 1.01/0.90 tff(f7,plain,(
% 1.01/0.90 ~(((((cGUSTY = $true) & (cEAST = $true)) => (cSMOKES = $true)) & ((cFOGGY = $true) => (cOPEN_WINDOW != $true)) & ((cFLUTE = $true) => (cOPEN_DOOR != $true)) & (((cFIRE = $true) & (cOPEN_DOOR != $true) & (cGUSTY != $true)) => (cRHEUMATIC != $true)) & (((cFOGGY = $true) & (cCOLD = $true)) => (cFLUTE = $true)) & (((cSMOKE = $true) & (cFIRE = $true)) => (cOPEN_DOOR = $true)) & ((cSUNSHINE = $true) => (cFOGGY = $true)) & ((cEAST = $true) => (cSUNSHINE = $true)) & ((cOPEN_DOOR = $true) => (cHEADACHE != $true)) & (((cCOLD = $true) & (cRHEUMATIC = $true)) => (cFIRE = $true)) & (((cEAST = $true) & (cFOGGY = $true)) => (cRHEUMATIC = $true))) => ((cEAST = $true) => (cOPEN_WINDOW != $true)))),
% 1.01/0.90 inference(flattening,[status(thm)],[f6])).
% 1.01/0.90 tff(f6,plain,(
% 1.01/0.90 ~(((((cGUSTY = $true) & (cEAST = $true)) => (cSMOKES = $true)) & (((cEAST = $true) & (cFOGGY = $true)) => (cRHEUMATIC = $true)) & (((cFOGGY = $true) & (cCOLD = $true)) => (cFLUTE = $true)) & ((cOPEN_DOOR = $true) => ~(cHEADACHE = $true)) & (((cCOLD = $true) & (cRHEUMATIC = $true)) => (cFIRE = $true)) & ((cFOGGY = $true) => ~(cOPEN_WINDOW = $true)) & ((cSUNSHINE = $true) => (cFOGGY = $true)) & (((cSMOKE = $true) & (cFIRE = $true)) => (cOPEN_DOOR = $true)) & ((cFLUTE = $true) => ~(cOPEN_DOOR = $true)) & ((~(cOPEN_DOOR = $true) & ~(cGUSTY = $true) & (cFIRE = $true)) => ~(cRHEUMATIC = $true)) & ((cEAST = $true) => (cSUNSHINE = $true))) => ((cEAST = $true) => ~(cOPEN_WINDOW = $true)))),
% 1.01/0.90 inference(fool_elimination,[status(thm)],[f5])).
% 1.01/0.90 tff(f5,plain,(
% 1.01/0.90 ~((((cGUSTY & cEAST) => cSMOKES) & ((cFOGGY & cEAST) => cRHEUMATIC) & ((cCOLD & cFOGGY) => cFLUTE) & (cOPEN_DOOR => ~cHEADACHE) & ((cCOLD & cRHEUMATIC) => cFIRE) & (cFOGGY => ~cOPEN_WINDOW) & (cSUNSHINE => cFOGGY) & ((cSMOKE & cFIRE) => cOPEN_DOOR) & (cFLUTE => ~cOPEN_DOOR) & ((~cOPEN_DOOR & ~cGUSTY & cFIRE) => ~cRHEUMATIC) & (cEAST => cSUNSHINE)) => (cEAST => ~cOPEN_WINDOW))),
% 1.01/0.90 inference(rectify,[status(thm)],[f2])).
% 1.01/0.90 tff(f2,negated_conjecture,(
% 1.01/0.90 ~((((cGUSTY & cEAST) => cSMOKES) & ((cFOGGY & cEAST) => cRHEUMATIC) & ((cCOLD & cFOGGY) => cFLUTE) & (cOPEN_DOOR => ~cHEADACHE) & ((cCOLD & cRHEUMATIC) => cFIRE) & (cFOGGY => ~cOPEN_WINDOW) & (cSUNSHINE => cFOGGY) & ((cSMOKE & cFIRE) => cOPEN_DOOR) & (cFLUTE => ~cOPEN_DOOR) & ((~cOPEN_DOOR & ~cGUSTY & cFIRE) => ~cRHEUMATIC) & (cEAST => cSUNSHINE)) => (cEAST => ~cOPEN_WINDOW))),
% 1.01/0.90 inference(negated_conjecture,[status(cth)],[f1])).
% 1.01/0.90 tff(f1,conjecture,(
% 1.01/0.90 (((cGUSTY & cEAST) => cSMOKES) & ((cFOGGY & cEAST) => cRHEUMATIC) & ((cCOLD & cFOGGY) => cFLUTE) & (cOPEN_DOOR => ~cHEADACHE) & ((cCOLD & cRHEUMATIC) => cFIRE) & (cFOGGY => ~cOPEN_WINDOW) & (cSUNSHINE => cFOGGY) & ((cSMOKE & cFIRE) => cOPEN_DOOR) & (cFLUTE => ~cOPEN_DOOR) & ((~cOPEN_DOOR & ~cGUSTY & cFIRE) => ~cRHEUMATIC) & (cEAST => cSUNSHINE)) => (cEAST => ~cOPEN_WINDOW)),
% 1.01/0.90 file('/export/starexec/sandbox2/tmp/tmp.0vCYD4D4qR/DTF2THF_27348.p',cTHM210)).
% 1.01/0.90 tff(f22,plain,(
% 1.01/0.90 (cOPEN_WINDOW != $true) | (cFOGGY != $true)),
% 1.01/0.90 inference(cnf_transformation,[status(thm)],[f9])).
% 1.01/0.90 tff(f15,plain,(
% 1.01/0.90 (cSUNSHINE != $true) | (cFOGGY = $true)),
% 1.01/0.90 inference(cnf_transformation,[status(thm)],[f9])).
% 1.01/0.90 tff(f27,plain,(
% 1.01/0.90 (cSUNSHINE = $true)),
% 1.01/0.90 inference(trivial_inequality_removal,[status(thm)],[f24])).
% 1.01/0.90 tff(f24,plain,(
% 1.01/0.90 ($true != $true) | (cSUNSHINE = $true)),
% 1.01/0.90 inference(definition_unfolding,[status(thm)],[f19,f18])).
% 1.01/0.90 tff(f18,plain,(
% 1.01/0.90 (cEAST = $true)),
% 1.01/0.90 inference(cnf_transformation,[status(thm)],[f9])).
% 1.01/0.90 tff(f19,plain,(
% 1.01/0.90 (cEAST != $true) | (cSUNSHINE = $true)),
% 1.01/0.90 inference(cnf_transformation,[status(thm)],[f9])).
% 1.01/0.90 % SZS output end Proof for DTF2THF_27348
% 1.01/0.90 % (27450)------------------------------
% 1.01/0.90 % (27450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.01/0.90 % (27450)Termination reason: Refutation
% 1.01/0.90
% 1.01/0.90 % (27450)Memory used [KB]: 5500
% 1.01/0.90 % (27450)Time elapsed: 0.002 s
% 1.01/0.90 % (27450)------------------------------
% 1.01/0.90 % (27450)------------------------------
% 1.01/0.90 % (27444)Success in time 0.008 s
%------------------------------------------------------------------------------