%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN393+1.003 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 08:07:35 PM UTC 2025 % Result : Theorem 3.51s 3.71s % Output : Proof 3.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN393+1.003 : TPTP v9.2.0. Released v2.0.0. % 0.03/0.13 % Command : duper %s % 0.14/0.34 % Computer : n016.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 15:20:53 EDT 2025 % 0.14/0.34 % CPUTime : % 3.51/3.71 SZS status Theorem for theBenchmark.p % 3.51/3.71 SZS output start Proof for theBenchmark.p % 3.51/3.71 Clause #0 (by assumption #[]): Eq (Not (Iff (Iff (Iff p1 p2) p3) (Iff p1 (Iff p2 p3)))) True % 3.51/3.71 Clause #1 (by clausification #[0]): Eq (Iff (Iff (Iff p1 p2) p3) (Iff p1 (Iff p2 p3))) False % 3.51/3.71 Clause #2 (by clausification #[1]): Or (Eq (Iff (Iff p1 p2) p3) False) (Eq (Iff p1 (Iff p2 p3)) False) % 3.51/3.71 Clause #3 (by clausification #[1]): Or (Eq (Iff (Iff p1 p2) p3) True) (Eq (Iff p1 (Iff p2 p3)) True) % 3.51/3.71 Clause #4 (by clausification #[2]): Or (Eq (Iff p1 (Iff p2 p3)) False) (Or (Eq (Iff p1 p2) False) (Eq p3 False)) % 3.51/3.71 Clause #5 (by clausification #[2]): Or (Eq (Iff p1 (Iff p2 p3)) False) (Or (Eq (Iff p1 p2) True) (Eq p3 True)) % 3.51/3.71 Clause #6 (by clausification #[4]): Or (Eq (Iff p1 p2) False) (Or (Eq p3 False) (Or (Eq p1 False) (Eq (Iff p2 p3) False))) % 3.51/3.71 Clause #7 (by clausification #[4]): Or (Eq (Iff p1 p2) False) (Or (Eq p3 False) (Or (Eq p1 True) (Eq (Iff p2 p3) True))) % 3.51/3.71 Clause #8 (by clausification #[6]): Or (Eq p3 False) (Or (Eq p1 False) (Or (Eq (Iff p2 p3) False) (Or (Eq p1 False) (Eq p2 False)))) % 3.51/3.71 Clause #10 (by clausification #[8]): Or (Eq p3 False) (Or (Eq p1 False) (Or (Eq p1 False) (Or (Eq p2 False) (Or (Eq p2 False) (Eq p3 False))))) % 3.51/3.71 Clause #12 (by eliminate duplicate literals #[10]): Or (Eq p3 False) (Or (Eq p1 False) (Eq p2 False)) % 3.51/3.71 Clause #16 (by clausification #[7]): Or (Eq p3 False) (Or (Eq p1 True) (Or (Eq (Iff p2 p3) True) (Or (Eq p1 True) (Eq p2 True)))) % 3.51/3.71 Clause #19 (by clausification #[3]): Or (Eq (Iff p1 (Iff p2 p3)) True) (Or (Eq (Iff p1 p2) True) (Eq p3 False)) % 3.51/3.71 Clause #20 (by clausification #[3]): Or (Eq (Iff p1 (Iff p2 p3)) True) (Or (Eq (Iff p1 p2) False) (Eq p3 True)) % 3.51/3.71 Clause #21 (by clausification #[19]): Or (Eq (Iff p1 p2) True) (Or (Eq p3 False) (Or (Eq p1 True) (Eq (Iff p2 p3) False))) % 3.51/3.71 Clause #22 (by clausification #[19]): Or (Eq (Iff p1 p2) True) (Or (Eq p3 False) (Or (Eq p1 False) (Eq (Iff p2 p3) True))) % 3.51/3.71 Clause #23 (by clausification #[21]): Or (Eq p3 False) (Or (Eq p1 True) (Or (Eq (Iff p2 p3) False) (Or (Eq p1 True) (Eq p2 False)))) % 3.51/3.71 Clause #25 (by clausification #[23]): Or (Eq p3 False) (Or (Eq p1 True) (Or (Eq p1 True) (Or (Eq p2 False) (Or (Eq p2 False) (Eq p3 False))))) % 3.51/3.71 Clause #27 (by eliminate duplicate literals #[25]): Or (Eq p3 False) (Or (Eq p1 True) (Eq p2 False)) % 3.51/3.71 Clause #31 (by clausification #[22]): Or (Eq p3 False) (Or (Eq p1 False) (Or (Eq (Iff p2 p3) True) (Or (Eq p1 False) (Eq p2 True)))) % 3.51/3.71 Clause #34 (by clausification #[5]): Or (Eq (Iff p1 p2) True) (Or (Eq p3 True) (Or (Eq p1 False) (Eq (Iff p2 p3) False))) % 3.51/3.71 Clause #35 (by clausification #[5]): Or (Eq (Iff p1 p2) True) (Or (Eq p3 True) (Or (Eq p1 True) (Eq (Iff p2 p3) True))) % 3.51/3.71 Clause #37 (by clausification #[34]): Or (Eq p3 True) (Or (Eq p1 False) (Or (Eq (Iff p2 p3) False) (Or (Eq p1 False) (Eq p2 True)))) % 3.51/3.71 Clause #41 (by clausification #[37]): Or (Eq p3 True) (Or (Eq p1 False) (Or (Eq p1 False) (Or (Eq p2 True) (Or (Eq p2 True) (Eq p3 True))))) % 3.51/3.71 Clause #42 (by eliminate duplicate literals #[41]): Or (Eq p3 True) (Or (Eq p1 False) (Eq p2 True)) % 3.51/3.71 Clause #43 (by clausification #[35]): Or (Eq p3 True) (Or (Eq p1 True) (Or (Eq (Iff p2 p3) True) (Or (Eq p1 True) (Eq p2 False)))) % 3.51/3.72 Clause #46 (by clausification #[43]): Or (Eq p3 True) (Or (Eq p1 True) (Or (Eq p1 True) (Or (Eq p2 False) (Or (Eq p2 False) (Eq p3 True))))) % 3.51/3.72 Clause #47 (by eliminate duplicate literals #[46]): Or (Eq p3 True) (Or (Eq p1 True) (Eq p2 False)) % 3.51/3.72 Clause #48 (by clausification #[16]): Or (Eq p3 False) (Or (Eq p1 True) (Or (Eq p1 True) (Or (Eq p2 True) (Or (Eq p2 True) (Eq p3 False))))) % 3.51/3.72 Clause #50 (by eliminate duplicate literals #[48]): Or (Eq p3 False) (Or (Eq p1 True) (Eq p2 True)) % 3.51/3.72 Clause #53 (by clausification #[31]): Or (Eq p3 False) (Or (Eq p1 False) (Or (Eq p1 False) (Or (Eq p2 True) (Or (Eq p2 True) (Eq p3 False))))) % 3.51/3.72 Clause #55 (by eliminate duplicate literals #[53]): Or (Eq p3 False) (Or (Eq p1 False) (Eq p2 True)) % 3.51/3.72 Clause #56 (by clausification #[20]): Or (Eq (Iff p1 p2) False) (Or (Eq p3 True) (Or (Eq p1 True) (Eq (Iff p2 p3) False))) % 3.51/3.72 Clause #57 (by clausification #[20]): Or (Eq (Iff p1 p2) False) (Or (Eq p3 True) (Or (Eq p1 False) (Eq (Iff p2 p3) True))) % 3.51/3.73 Clause #59 (by clausification #[56]): Or (Eq p3 True) (Or (Eq p1 True) (Or (Eq (Iff p2 p3) False) (Or (Eq p1 True) (Eq p2 True)))) % 3.51/3.73 Clause #63 (by clausification #[59]): Or (Eq p3 True) (Or (Eq p1 True) (Or (Eq p1 True) (Or (Eq p2 True) (Or (Eq p2 True) (Eq p3 True))))) % 3.51/3.73 Clause #64 (by eliminate duplicate literals #[63]): Or (Eq p3 True) (Or (Eq p1 True) (Eq p2 True)) % 3.51/3.73 Clause #65 (by superposition #[64, 47]): Or (Eq p3 True) (Or (Eq p1 True) (Or (Eq p3 True) (Or (Eq p1 True) (Eq True False)))) % 3.51/3.73 Clause #66 (by clausification #[65]): Or (Eq p3 True) (Or (Eq p1 True) (Or (Eq p3 True) (Eq p1 True))) % 3.51/3.73 Clause #67 (by eliminate duplicate literals #[66]): Or (Eq p3 True) (Eq p1 True) % 3.51/3.73 Clause #68 (by superposition #[67, 42]): Or (Eq p3 True) (Or (Eq p3 True) (Or (Eq True False) (Eq p2 True))) % 3.51/3.73 Clause #69 (by clausification #[57]): Or (Eq p3 True) (Or (Eq p1 False) (Or (Eq (Iff p2 p3) True) (Or (Eq p1 False) (Eq p2 False)))) % 3.51/3.73 Clause #72 (by clausification #[69]): Or (Eq p3 True) (Or (Eq p1 False) (Or (Eq p1 False) (Or (Eq p2 False) (Or (Eq p2 False) (Eq p3 True))))) % 3.51/3.73 Clause #73 (by clausification #[68]): Or (Eq p3 True) (Or (Eq p3 True) (Eq p2 True)) % 3.51/3.73 Clause #74 (by eliminate duplicate literals #[73]): Or (Eq p3 True) (Eq p2 True) % 3.51/3.73 Clause #75 (by eliminate duplicate literals #[72]): Or (Eq p3 True) (Or (Eq p1 False) (Eq p2 False)) % 3.51/3.73 Clause #76 (by superposition #[75, 67]): Or (Eq p3 True) (Or (Eq p2 False) (Or (Eq p3 True) (Eq False True))) % 3.51/3.73 Clause #77 (by clausification #[76]): Or (Eq p3 True) (Or (Eq p2 False) (Eq p3 True)) % 3.51/3.73 Clause #78 (by eliminate duplicate literals #[77]): Or (Eq p3 True) (Eq p2 False) % 3.51/3.73 Clause #79 (by superposition #[78, 74]): Or (Eq p3 True) (Or (Eq p3 True) (Eq False True)) % 3.51/3.73 Clause #80 (by clausification #[79]): Or (Eq p3 True) (Eq p3 True) % 3.51/3.73 Clause #81 (by eliminate duplicate literals #[80]): Eq p3 True % 3.51/3.73 Clause #82 (by backward demodulation #[81, 12]): Or (Eq True False) (Or (Eq p1 False) (Eq p2 False)) % 3.51/3.73 Clause #83 (by backward demodulation #[81, 27]): Or (Eq True False) (Or (Eq p1 True) (Eq p2 False)) % 3.51/3.73 Clause #84 (by backward demodulation #[81, 50]): Or (Eq True False) (Or (Eq p1 True) (Eq p2 True)) % 3.51/3.73 Clause #85 (by backward demodulation #[81, 55]): Or (Eq True False) (Or (Eq p1 False) (Eq p2 True)) % 3.51/3.73 Clause #91 (by clausification #[85]): Or (Eq p1 False) (Eq p2 True) % 3.51/3.73 Clause #92 (by clausification #[83]): Or (Eq p1 True) (Eq p2 False) % 3.51/3.73 Clause #93 (by clausification #[82]): Or (Eq p1 False) (Eq p2 False) % 3.51/3.73 Clause #94 (by clausification #[84]): Or (Eq p1 True) (Eq p2 True) % 3.51/3.73 Clause #95 (by superposition #[94, 92]): Or (Eq p1 True) (Or (Eq p1 True) (Eq True False)) % 3.51/3.73 Clause #96 (by clausification #[95]): Or (Eq p1 True) (Eq p1 True) % 3.51/3.73 Clause #97 (by eliminate duplicate literals #[96]): Eq p1 True % 3.51/3.73 Clause #98 (by backward demodulation #[97, 91]): Or (Eq True False) (Eq p2 True) % 3.51/3.73 Clause #99 (by backward demodulation #[97, 93]): Or (Eq True False) (Eq p2 False) % 3.51/3.73 Clause #100 (by clausification #[99]): Eq p2 False % 3.51/3.73 Clause #101 (by clausification #[98]): Eq p2 True % 3.51/3.73 Clause #102 (by superposition #[101, 100]): Eq True False % 3.51/3.73 Clause #103 (by clausification #[102]): False % 3.51/3.73 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------