%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : PUZ137^1 : TPTP v9.2.0. Released v5.3.0. % 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 07:58:25 PM UTC 2025 % Result : Theorem 4.95s 5.15s % Output : Proof 4.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PUZ137^1 : TPTP v9.2.0. Released v5.3.0. % 0.07/0.13 % 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 20:44:38 EDT 2025 % 0.13/0.35 % CPUTime : % 4.95/5.15 SZS status Theorem for theBenchmark.p % 4.95/5.15 SZS output start Proof for theBenchmark.p % 4.95/5.15 Clause #0 (by assumption #[]): Eq (says peter (∀ (X : Prop), says peter X → Not X)) True % 4.95/5.15 Clause #1 (by assumption #[]): Eq (Not (∀ (X : Prop), says peter X)) True % 4.95/5.15 Clause #2 (by clausification #[1]): Eq (∀ (X : Prop), says peter X) False % 4.95/5.15 Clause #3 (by clausification #[2]): ∀ (a : Prop), Eq (Not (says peter (skS.0 0 a))) True % 4.95/5.15 Clause #4 (by clausification #[3]): ∀ (a : Prop), Eq (says peter (skS.0 0 a)) False % 4.95/5.15 Clause #5 (by identity loobHoist #[4]): ∀ (a : Prop), Or (Eq (says peter True) False) (Eq (skS.0 0 a) False) % 4.95/5.15 Clause #6 (by identity boolHoist #[4]): ∀ (a : Prop), Or (Eq (says peter False) False) (Eq (skS.0 0 a) True) % 4.95/5.15 Clause #7 (by identity loobHoist #[5]): ∀ (a : Prop), Or (Eq (says peter True) False) (Or (Eq (skS.0 0 True) False) (Eq a False)) % 4.95/5.15 Clause #9 (by bool simp #[0]): Eq (says peter (And (says peter True → Not True) (says peter False → Not False))) True % 4.95/5.15 Clause #10 (by bool simp #[9]): Eq (says peter (And (says peter True → Not True) (says peter False → True))) True % 4.95/5.15 Clause #11 (by bool simp #[10]): Eq (says peter (And (says peter True → Not True) True)) True % 4.95/5.15 Clause #12 (by bool simp #[11]): Eq (says peter (says peter True → Not True)) True % 4.95/5.15 Clause #13 (by bool simp #[12]): Eq (says peter (says peter True → False)) True % 4.95/5.15 Clause #14 (by bool simp #[13]): Eq (says peter (Not (says peter True))) True % 4.95/5.15 Clause #15 (by identity loobHoist #[14]): Or (Eq (says peter True) True) (Eq (Not (says peter True)) False) % 4.95/5.15 Clause #16 (by identity boolHoist #[14]): Or (Eq (says peter False) True) (Eq (Not (says peter True)) True) % 4.95/5.15 Clause #17 (by clausification #[15]): Or (Eq (says peter True) True) (Eq (says peter True) True) % 4.95/5.15 Clause #18 (by eliminate duplicate literals #[17]): Eq (says peter True) True % 4.95/5.15 Clause #19 (by backward demodulation #[18, 7]): ∀ (a : Prop), Or (Eq True False) (Or (Eq (skS.0 0 True) False) (Eq a False)) % 4.95/5.15 Clause #20 (by clausification #[16]): Or (Eq (says peter False) True) (Eq (says peter True) False) % 4.95/5.15 Clause #21 (by forward demodulation #[20, 18]): Or (Eq (says peter False) True) (Eq True False) % 4.95/5.15 Clause #22 (by clausification #[21]): Eq (says peter False) True % 4.95/5.15 Clause #23 (by clausification #[19]): ∀ (a : Prop), Or (Eq (skS.0 0 True) False) (Eq a False) % 4.95/5.15 Clause #24 (by forward demodulation #[6, 22]): ∀ (a : Prop), Or (Eq True False) (Eq (skS.0 0 a) True) % 4.95/5.15 Clause #25 (by clausification #[24]): ∀ (a : Prop), Eq (skS.0 0 a) True % 4.95/5.15 Clause #26 (by identity loobHoist #[25]): ∀ (a : Prop), Or (Eq (skS.0 0 True) True) (Eq a False) % 4.95/5.15 Clause #29 (by falseElim #[26]): Eq (skS.0 0 True) True % 4.95/5.15 Clause #32 (by superposition #[29, 23]): ∀ (a : Prop), Or (Eq True False) (Eq a False) % 4.95/5.15 Clause #33 (by clausification #[32]): ∀ (a : Prop), Eq a False % 4.95/5.15 Clause #35 (by falseElim #[33]): False % 4.95/5.15 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------