%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ090^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:20:46 AM UTC 2026
% Result : Theorem 2.36s 1.19s
% Output : Refutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 141 ( 0 equ; 0 cnn)
% Maximal formula atoms : 31 ( 9 avg)
% Number of connectives : 179 ( 53 ~; 24 |; 63 &; 0 @)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 15 con; 0-0 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(cOPEN_WINDOW_decl,type,
cOPEN_WINDOW: $o ).
thf(cEAST_decl,type,
cEAST: $o ).
thf(cRHEUMATIC_decl,type,
cRHEUMATIC: $o ).
thf(cFOGGY_decl,type,
cFOGGY: $o ).
thf(cOPEN_DOOR_decl,type,
cOPEN_DOOR: $o ).
thf(cFLUTE_decl,type,
cFLUTE: $o ).
thf(cSUNSHINE_decl,type,
cSUNSHINE: $o ).
thf(cFIRE_decl,type,
cFIRE: $o ).
thf(cGUSTY_decl,type,
cGUSTY: $o ).
thf(cHEADACHE_decl,type,
cHEADACHE: $o ).
thf(cSMOKES_decl,type,
cSMOKES: $o ).
thf(cCOLD_decl,type,
cCOLD: $o ).
thf(cSMOKE_decl,type,
cSMOKE: $o ).
thf(1,conjecture,
( ( ( cEAST
=> cSUNSHINE )
& ( ( cCOLD
& cFOGGY )
=> cFLUTE )
& ( ( cFIRE
& cSMOKE )
=> cOPEN_DOOR )
& ( ( cCOLD
& cRHEUMATIC )
=> cFIRE )
& ( ( cEAST
& cGUSTY )
=> cSMOKES )
& ( cOPEN_DOOR
=> ~ cHEADACHE )
& ( cFOGGY
=> ~ cOPEN_WINDOW )
& ( ( ~ cGUSTY
& cFIRE
& ~ cOPEN_DOOR )
=> ~ cRHEUMATIC )
& ( cSUNSHINE
=> cFOGGY )
& ( cFLUTE
=> ~ cOPEN_DOOR )
& ( ( cFOGGY
& cEAST )
=> cRHEUMATIC ) )
=> ( cEAST
=> ~ cOPEN_WINDOW ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM210) ).
thf(2,negated_conjecture,
~ ( ( ( cEAST
=> cSUNSHINE )
& ( ( cCOLD
& cFOGGY )
=> cFLUTE )
& ( ( cFIRE
& cSMOKE )
=> cOPEN_DOOR )
& ( ( cCOLD
& cRHEUMATIC )
=> cFIRE )
& ( ( cEAST
& cGUSTY )
=> cSMOKES )
& ( cOPEN_DOOR
=> ~ cHEADACHE )
& ( cFOGGY
=> ~ cOPEN_WINDOW )
& ( ( ~ cGUSTY
& cFIRE
& ~ cOPEN_DOOR )
=> ~ cRHEUMATIC )
& ( cSUNSHINE
=> cFOGGY )
& ( cFLUTE
=> ~ cOPEN_DOOR )
& ( ( cFOGGY
& cEAST )
=> cRHEUMATIC ) )
=> ( cEAST
=> ~ cOPEN_WINDOW ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ( cEAST
=> cSUNSHINE )
& ( ( cCOLD
& cFOGGY )
=> cFLUTE )
& ( ( cFIRE
& cSMOKE )
=> cOPEN_DOOR )
& ( ( cCOLD
& cRHEUMATIC )
=> cFIRE )
& ( ( cEAST
& cGUSTY )
=> cSMOKES )
& ( cOPEN_DOOR
=> ~ cHEADACHE )
& ( cFOGGY
=> ~ cOPEN_WINDOW )
& ( ( ~ cGUSTY
& cFIRE
& ~ cOPEN_DOOR )
=> ~ cRHEUMATIC )
& ( cSUNSHINE
=> cFOGGY )
& ( cFLUTE
=> ~ cOPEN_DOOR )
& ( ( cFOGGY
& cEAST )
=> cRHEUMATIC ) )
=> ( cEAST
=> ~ cOPEN_WINDOW ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ cEAST
| cSUNSHINE )
& ( ~ cCOLD
| ~ cFOGGY
| cFLUTE )
& ( ~ cFIRE
| ~ cSMOKE
| cOPEN_DOOR )
& ( ~ cCOLD
| ~ cRHEUMATIC
| cFIRE )
& ( ~ cEAST
| ~ cGUSTY
| cSMOKES )
& ( ~ cOPEN_DOOR
| ~ cHEADACHE )
& ( ~ cFOGGY
| ~ cOPEN_WINDOW )
& ( cGUSTY
| ~ cFIRE
| cOPEN_DOOR
| ~ cRHEUMATIC )
& ( ~ cSUNSHINE
| cFOGGY )
& ( ~ cFLUTE
| ~ cOPEN_DOOR )
& ( ~ cFOGGY
| ~ cEAST
| cRHEUMATIC )
& cEAST
& cOPEN_WINDOW ),
inference(cnf,[status(esa)],[3]) ).
thf(16,plain,
( ~ cEAST
| cSUNSHINE ),
inference(cnfConj,[status(thm)],[4]) ).
thf(10,plain,
( ~ cSUNSHINE
| cFOGGY ),
inference(cnfConj,[status(thm)],[4]) ).
thf(7,plain,
( ~ cFOGGY
| ~ cOPEN_WINDOW ),
inference(cnfConj,[status(thm)],[4]) ).
thf(12,plain,
cOPEN_WINDOW,
inference(cnfConj,[status(thm)],[4]) ).
thf(18,plain,
( ~ cFOGGY
| ~ $true ),
inference(rewrite,[status(thm)],[7,12]) ).
thf(19,plain,
~ cFOGGY,
inference(simp,[status(thm)],[18]) ).
thf(22,plain,
( ~ cSUNSHINE
| $false ),
inference(rewrite,[status(thm)],[10,19]) ).
thf(23,plain,
~ cSUNSHINE,
inference(simp,[status(thm)],[22]) ).
thf(14,plain,
cEAST,
inference(cnfConj,[status(thm)],[4]) ).
thf(24,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[16,23,14]) ).
thf(25,plain,
$false,
inference(simp,[status(thm)],[24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ090^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.10/0.22 % Computer : n017.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 13:17:37 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.69/0.54 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.02/0.65 % [INFO] Parsing done (99ms).
% 1.02/0.65 % [INFO] Running in sequential loop mode.
% 1.37/0.85 % [INFO] eprover registered as external prover.
% 1.37/0.85 % [INFO] Scanning for conjecture ...
% 1.64/0.90 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.64/0.92 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.64/0.92 % [INFO] Problem is higher-order (TPTP THF).
% 1.64/0.92 % [INFO] Type checking passed.
% 1.64/0.93 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 2.36/1.19 % [INFO] Killing All external provers ...
% 2.36/1.19 % Time passed: 879ms (effective reasoning time: 530ms)
% 2.36/1.19 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 2.36/1.19 % Axioms used in derivation (0):
% 2.36/1.19 % No. of inferences in proof: 15
% 2.36/1.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 879 ms resp. 530 ms w/o parsing
% 2.59/1.21 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.59/1.21 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------