%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN392+1 : 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 08:07:34 PM UTC 2025 % Result : Theorem 4.48s 4.68s % Output : Proof 4.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN392+1 : TPTP v9.2.0. Released v2.0.0. % 0.06/0.13 % Command : duper %s % 0.13/0.35 % Computer : n016.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 15:30:53 EDT 2025 % 0.13/0.35 % CPUTime : % 4.48/4.68 SZS status Theorem for theBenchmark.p % 4.48/4.68 SZS output start Proof for theBenchmark.p % 4.48/4.68 Clause #0 (by assumption #[]): Eq (Not (Iff (Iff p1 p2) (And (Or p2 (Not p1)) (Or (Not p2) p1)))) True % 4.48/4.68 Clause #1 (by clausification #[0]): Eq (Iff (Iff p1 p2) (And (Or p2 (Not p1)) (Or (Not p2) p1))) False % 4.48/4.68 Clause #2 (by clausification #[1]): Or (Eq (Iff p1 p2) False) (Eq (And (Or p2 (Not p1)) (Or (Not p2) p1)) False) % 4.48/4.68 Clause #3 (by clausification #[1]): Or (Eq (Iff p1 p2) True) (Eq (And (Or p2 (Not p1)) (Or (Not p2) p1)) True) % 4.48/4.68 Clause #4 (by clausification #[2]): Or (Eq (And (Or p2 (Not p1)) (Or (Not p2) p1)) False) (Or (Eq p1 False) (Eq p2 False)) % 4.48/4.68 Clause #5 (by clausification #[2]): Or (Eq (And (Or p2 (Not p1)) (Or (Not p2) p1)) False) (Or (Eq p1 True) (Eq p2 True)) % 4.48/4.68 Clause #6 (by clausification #[4]): Or (Eq p1 False) (Or (Eq p2 False) (Or (Eq (Or p2 (Not p1)) False) (Eq (Or (Not p2) p1) False))) % 4.48/4.68 Clause #8 (by clausification #[6]): Or (Eq p1 False) (Or (Eq p2 False) (Or (Eq (Or (Not p2) p1) False) (Eq p2 False))) % 4.48/4.68 Clause #14 (by clausification #[8]): Or (Eq p1 False) (Or (Eq p2 False) (Or (Eq p2 False) (Eq p1 False))) % 4.48/4.68 Clause #16 (by eliminate duplicate literals #[14]): Or (Eq p1 False) (Eq p2 False) % 4.48/4.68 Clause #18 (by clausification #[5]): Or (Eq p1 True) (Or (Eq p2 True) (Or (Eq (Or p2 (Not p1)) False) (Eq (Or (Not p2) p1) False))) % 4.48/4.68 Clause #19 (by clausification #[18]): Or (Eq p1 True) (Or (Eq p2 True) (Or (Eq (Or (Not p2) p1) False) (Eq (Not p1) False))) % 4.48/4.68 Clause #22 (by clausification #[19]): Or (Eq p1 True) (Or (Eq p2 True) (Or (Eq (Not p1) False) (Eq (Not p2) False))) % 4.48/4.68 Clause #24 (by clausification #[3]): Or (Eq (And (Or p2 (Not p1)) (Or (Not p2) p1)) True) (Or (Eq p1 True) (Eq p2 False)) % 4.48/4.68 Clause #25 (by clausification #[3]): Or (Eq (And (Or p2 (Not p1)) (Or (Not p2) p1)) True) (Or (Eq p1 False) (Eq p2 True)) % 4.48/4.68 Clause #26 (by clausification #[24]): Or (Eq p1 True) (Or (Eq p2 False) (Eq (Or (Not p2) p1) True)) % 4.48/4.68 Clause #28 (by clausification #[26]): Or (Eq p1 True) (Or (Eq p2 False) (Or (Eq (Not p2) True) (Eq p1 True))) % 4.48/4.68 Clause #29 (by clausification #[28]): Or (Eq p1 True) (Or (Eq p2 False) (Or (Eq p1 True) (Eq p2 False))) % 4.48/4.68 Clause #30 (by eliminate duplicate literals #[29]): Or (Eq p1 True) (Eq p2 False) % 4.48/4.68 Clause #33 (by clausification #[22]): Or (Eq p1 True) (Or (Eq p2 True) (Or (Eq (Not p2) False) (Eq p1 True))) % 4.48/4.68 Clause #34 (by clausification #[33]): Or (Eq p1 True) (Or (Eq p2 True) (Or (Eq p1 True) (Eq p2 True))) % 4.48/4.68 Clause #35 (by eliminate duplicate literals #[34]): Or (Eq p1 True) (Eq p2 True) % 4.48/4.68 Clause #36 (by superposition #[35, 30]): Or (Eq p1 True) (Or (Eq p1 True) (Eq True False)) % 4.48/4.68 Clause #37 (by clausification #[36]): Or (Eq p1 True) (Eq p1 True) % 4.48/4.68 Clause #38 (by eliminate duplicate literals #[37]): Eq p1 True % 4.48/4.68 Clause #39 (by backward demodulation #[38, 16]): Or (Eq True False) (Eq p2 False) % 4.48/4.68 Clause #44 (by clausification #[39]): Eq p2 False % 4.48/4.68 Clause #47 (by clausification #[25]): Or (Eq p1 False) (Or (Eq p2 True) (Eq (Or p2 (Not p1)) True)) % 4.48/4.68 Clause #50 (by clausification #[47]): Or (Eq p1 False) (Or (Eq p2 True) (Or (Eq p2 True) (Eq (Not p1) True))) % 4.48/4.68 Clause #51 (by clausification #[50]): Or (Eq p1 False) (Or (Eq p2 True) (Or (Eq p2 True) (Eq p1 False))) % 4.48/4.68 Clause #52 (by eliminate duplicate literals #[51]): Or (Eq p1 False) (Eq p2 True) % 4.48/4.68 Clause #53 (by forward demodulation #[52, 38]): Or (Eq True False) (Eq p2 True) % 4.48/4.68 Clause #54 (by clausification #[53]): Eq p2 True % 4.48/4.68 Clause #55 (by superposition #[54, 44]): Eq True False % 4.48/4.68 Clause #56 (by clausification #[55]): False % 4.48/4.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------