%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PUZ090^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 : Fri Oct 3 07:58:20 PM UTC 2025 % Result : Theorem 3.45s 3.65s % Output : Proof 3.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : PUZ090^5 : TPTP v9.2.0. Released v4.0.0. % 0.08/0.15 % Command : duper %s % 0.15/0.36 % Computer : n002.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Thu Oct 2 21:01:38 EDT 2025 % 0.15/0.36 % CPUTime : % 3.45/3.65 SZS status Theorem for theBenchmark.p % 3.45/3.65 SZS output start Proof for theBenchmark.p % 3.45/3.65 Clause #0 (by assumption #[]): Eq % 3.45/3.65 (Not % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And (And (And (cEAST → cSUNSHINE) (And cCOLD cFOGGY → cFLUTE)) (And cFIRE cSMOKE → cOPEN_DOOR)) % 3.45/3.65 (And cCOLD cRHEUMATIC → cFIRE)) % 3.45/3.65 (And cEAST cGUSTY → cSMOKES)) % 3.45/3.65 (cOPEN_DOOR → Not cHEADACHE)) % 3.45/3.65 (cFOGGY → Not cOPEN_WINDOW)) % 3.45/3.65 (And (And (Not cGUSTY) cFIRE) (Not cOPEN_DOOR) → Not cRHEUMATIC)) % 3.45/3.65 (cSUNSHINE → cFOGGY)) % 3.45/3.65 (cFLUTE → Not cOPEN_DOOR)) % 3.45/3.65 (And cFOGGY cEAST → cRHEUMATIC) → % 3.45/3.65 cEAST → Not cOPEN_WINDOW)) % 3.45/3.65 True % 3.45/3.65 Clause #1 (by clausification #[0]): Eq % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And (And (And (cEAST → cSUNSHINE) (And cCOLD cFOGGY → cFLUTE)) (And cFIRE cSMOKE → cOPEN_DOOR)) % 3.45/3.65 (And cCOLD cRHEUMATIC → cFIRE)) % 3.45/3.65 (And cEAST cGUSTY → cSMOKES)) % 3.45/3.65 (cOPEN_DOOR → Not cHEADACHE)) % 3.45/3.65 (cFOGGY → Not cOPEN_WINDOW)) % 3.45/3.65 (And (And (Not cGUSTY) cFIRE) (Not cOPEN_DOOR) → Not cRHEUMATIC)) % 3.45/3.65 (cSUNSHINE → cFOGGY)) % 3.45/3.65 (cFLUTE → Not cOPEN_DOOR)) % 3.45/3.65 (And cFOGGY cEAST → cRHEUMATIC) → % 3.45/3.65 cEAST → Not cOPEN_WINDOW) % 3.45/3.65 False % 3.45/3.65 Clause #2 (by clausification #[1]): Eq % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And (And (And (cEAST → cSUNSHINE) (And cCOLD cFOGGY → cFLUTE)) (And cFIRE cSMOKE → cOPEN_DOOR)) % 3.45/3.65 (And cCOLD cRHEUMATIC → cFIRE)) % 3.45/3.65 (And cEAST cGUSTY → cSMOKES)) % 3.45/3.65 (cOPEN_DOOR → Not cHEADACHE)) % 3.45/3.65 (cFOGGY → Not cOPEN_WINDOW)) % 3.45/3.65 (And (And (Not cGUSTY) cFIRE) (Not cOPEN_DOOR) → Not cRHEUMATIC)) % 3.45/3.65 (cSUNSHINE → cFOGGY)) % 3.45/3.65 (cFLUTE → Not cOPEN_DOOR)) % 3.45/3.65 (And cFOGGY cEAST → cRHEUMATIC)) % 3.45/3.65 True % 3.45/3.65 Clause #3 (by clausification #[1]): Eq (cEAST → Not cOPEN_WINDOW) False % 3.45/3.65 Clause #5 (by clausification #[2]): Eq % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And (And (And (cEAST → cSUNSHINE) (And cCOLD cFOGGY → cFLUTE)) (And cFIRE cSMOKE → cOPEN_DOOR)) % 3.45/3.65 (And cCOLD cRHEUMATIC → cFIRE)) % 3.45/3.65 (And cEAST cGUSTY → cSMOKES)) % 3.45/3.65 (cOPEN_DOOR → Not cHEADACHE)) % 3.45/3.65 (cFOGGY → Not cOPEN_WINDOW)) % 3.45/3.65 (And (And (Not cGUSTY) cFIRE) (Not cOPEN_DOOR) → Not cRHEUMATIC)) % 3.45/3.65 (cSUNSHINE → cFOGGY)) % 3.45/3.65 (cFLUTE → Not cOPEN_DOOR)) % 3.45/3.65 True % 3.45/3.65 Clause #8 (by clausification #[3]): Eq cEAST True % 3.45/3.65 Clause #9 (by clausification #[3]): Eq (Not cOPEN_WINDOW) False % 3.45/3.65 Clause #11 (by clausification #[9]): Eq cOPEN_WINDOW True % 3.45/3.65 Clause #14 (by clausification #[5]): Eq % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And (And (And (cEAST → cSUNSHINE) (And cCOLD cFOGGY → cFLUTE)) (And cFIRE cSMOKE → cOPEN_DOOR)) % 3.45/3.65 (And cCOLD cRHEUMATIC → cFIRE)) % 3.45/3.65 (And cEAST cGUSTY → cSMOKES)) % 3.45/3.65 (cOPEN_DOOR → Not cHEADACHE)) % 3.45/3.65 (cFOGGY → Not cOPEN_WINDOW)) % 3.45/3.65 (And (And (Not cGUSTY) cFIRE) (Not cOPEN_DOOR) → Not cRHEUMATIC)) % 3.45/3.65 (cSUNSHINE → cFOGGY)) % 3.45/3.65 True % 3.45/3.65 Clause #17 (by clausification #[14]): Eq (cSUNSHINE → cFOGGY) True % 3.45/3.65 Clause #18 (by clausification #[14]): Eq % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And (And (And (cEAST → cSUNSHINE) (And cCOLD cFOGGY → cFLUTE)) (And cFIRE cSMOKE → cOPEN_DOOR)) % 3.45/3.65 (And cCOLD cRHEUMATIC → cFIRE)) % 3.45/3.65 (And cEAST cGUSTY → cSMOKES)) % 3.45/3.65 (cOPEN_DOOR → Not cHEADACHE)) % 3.45/3.65 (cFOGGY → Not cOPEN_WINDOW)) % 3.45/3.65 (And (And (Not cGUSTY) cFIRE) (Not cOPEN_DOOR) → Not cRHEUMATIC)) % 3.45/3.65 True % 3.45/3.65 Clause #19 (by clausification #[17]): Or (Eq cSUNSHINE False) (Eq cFOGGY True) % 3.45/3.65 Clause #21 (by clausification #[18]): Eq % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And % 3.45/3.65 (And (And (And (cEAST → cSUNSHINE) (And cCOLD cFOGGY → cFLUTE)) (And cFIRE cSMOKE → cOPEN_DOOR)) % 3.45/3.66 (And cCOLD cRHEUMATIC → cFIRE)) % 3.45/3.66 (And cEAST cGUSTY → cSMOKES)) % 3.45/3.66 (cOPEN_DOOR → Not cHEADACHE)) % 3.45/3.66 (cFOGGY → Not cOPEN_WINDOW)) % 3.45/3.66 True % 3.45/3.66 Clause #28 (by clausification #[21]): Eq (cFOGGY → Not cOPEN_WINDOW) True % 3.45/3.66 Clause #29 (by clausification #[21]): Eq % 3.45/3.66 (And % 3.45/3.66 (And % 3.45/3.66 (And (And (And (cEAST → cSUNSHINE) (And cCOLD cFOGGY → cFLUTE)) (And cFIRE cSMOKE → cOPEN_DOOR)) % 3.45/3.66 (And cCOLD cRHEUMATIC → cFIRE)) % 3.45/3.66 (And cEAST cGUSTY → cSMOKES)) % 3.45/3.66 (cOPEN_DOOR → Not cHEADACHE)) % 3.45/3.66 True % 3.45/3.66 Clause #30 (by clausification #[28]): Or (Eq cFOGGY False) (Eq (Not cOPEN_WINDOW) True) % 3.45/3.66 Clause #31 (by clausification #[30]): Or (Eq cFOGGY False) (Eq cOPEN_WINDOW False) % 3.45/3.66 Clause #33 (by clausification #[29]): Eq % 3.45/3.66 (And % 3.45/3.66 (And (And (And (cEAST → cSUNSHINE) (And cCOLD cFOGGY → cFLUTE)) (And cFIRE cSMOKE → cOPEN_DOOR)) % 3.45/3.66 (And cCOLD cRHEUMATIC → cFIRE)) % 3.45/3.66 (And cEAST cGUSTY → cSMOKES)) % 3.45/3.66 True % 3.45/3.66 Clause #37 (by clausification #[33]): Eq % 3.45/3.66 (And (And (And (cEAST → cSUNSHINE) (And cCOLD cFOGGY → cFLUTE)) (And cFIRE cSMOKE → cOPEN_DOOR)) % 3.45/3.66 (And cCOLD cRHEUMATIC → cFIRE)) % 3.45/3.66 True % 3.45/3.66 Clause #43 (by clausification #[37]): Eq (And (And (cEAST → cSUNSHINE) (And cCOLD cFOGGY → cFLUTE)) (And cFIRE cSMOKE → cOPEN_DOOR)) True % 3.45/3.66 Clause #47 (by clausification #[43]): Eq (And (cEAST → cSUNSHINE) (And cCOLD cFOGGY → cFLUTE)) True % 3.45/3.66 Clause #51 (by clausification #[47]): Eq (cEAST → cSUNSHINE) True % 3.45/3.66 Clause #54 (by clausification #[51]): Or (Eq cEAST False) (Eq cSUNSHINE True) % 3.45/3.66 Clause #55 (by forward demodulation #[54, 8]): Or (Eq True False) (Eq cSUNSHINE True) % 3.45/3.66 Clause #56 (by clausification #[55]): Eq cSUNSHINE True % 3.45/3.66 Clause #57 (by superposition #[56, 19]): Or (Eq True False) (Eq cFOGGY True) % 3.45/3.66 Clause #58 (by clausification #[57]): Eq cFOGGY True % 3.45/3.66 Clause #61 (by backward demodulation #[58, 31]): Or (Eq True False) (Eq cOPEN_WINDOW False) % 3.45/3.66 Clause #63 (by clausification #[61]): Eq cOPEN_WINDOW False % 3.45/3.66 Clause #64 (by superposition #[63, 11]): Eq False True % 3.45/3.66 Clause #65 (by clausification #[64]): False % 3.45/3.66 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------