%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP001^1 : TPTP v9.2.0. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 07:50:40 PM UTC 2025 % Result : Theorem 4.80s 4.98s % Output : Proof 4.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : ITP001^1 : TPTP v9.2.0. Bugfixed v7.5.0. % 0.06/0.14 % Command : duper %s % 0.13/0.35 % Computer : n026.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 22:28:53 EDT 2025 % 0.13/0.35 % CPUTime : % 4.80/4.98 SZS status Theorem for theBenchmark.p % 4.80/4.98 SZS output start Proof for theBenchmark.p % 4.80/4.98 Clause #24 (by assumption #[]): Eq (Iff mono_2Ec_2Ebool_2ET (∀ (V0x : Prop), Eq V0x V0x)) True % 4.80/4.98 Clause #25 (by assumption #[]): Eq (Not mono_2Ec_2Ebool_2ET) True % 4.80/4.98 Clause #26 (by clausification #[25]): Eq mono_2Ec_2Ebool_2ET False % 4.80/4.98 Clause #65 (by clausification #[24]): Or (Eq mono_2Ec_2Ebool_2ET True) (Eq (∀ (V0x : Prop), Eq V0x V0x) False) % 4.80/4.98 Clause #67 (by clausification #[65]): ∀ (a : Prop), Or (Eq mono_2Ec_2Ebool_2ET True) (Eq (Not (Eq (skS.0 1 a) (skS.0 1 a))) True) % 4.80/4.98 Clause #68 (by clausification #[67]): ∀ (a : Prop), Or (Eq mono_2Ec_2Ebool_2ET True) (Eq (Eq (skS.0 1 a) (skS.0 1 a)) False) % 4.80/4.98 Clause #69 (by clausification #[68]): ∀ (a : Prop), Or (Eq mono_2Ec_2Ebool_2ET True) (Ne (skS.0 1 a) (skS.0 1 a)) % 4.80/4.98 Clause #70 (by clausification #[69]): ∀ (a : Prop), Or (Eq mono_2Ec_2Ebool_2ET True) (Or (Eq (skS.0 1 a) False) (Eq (skS.0 1 a) False)) % 4.80/4.98 Clause #71 (by clausification #[69]): ∀ (a : Prop), Or (Eq mono_2Ec_2Ebool_2ET True) (Or (Eq (skS.0 1 a) True) (Eq (skS.0 1 a) True)) % 4.80/4.98 Clause #72 (by eliminate duplicate literals #[70]): ∀ (a : Prop), Or (Eq mono_2Ec_2Ebool_2ET True) (Eq (skS.0 1 a) False) % 4.80/4.98 Clause #73 (by forward demodulation #[72, 26]): ∀ (a : Prop), Or (Eq False True) (Eq (skS.0 1 a) False) % 4.80/4.98 Clause #74 (by clausification #[73]): ∀ (a : Prop), Eq (skS.0 1 a) False % 4.80/4.98 Clause #75 (by identity loobHoist #[74]): ∀ (a : Prop), Or (Eq (skS.0 1 True) False) (Eq a False) % 4.80/4.98 Clause #588 (by eliminate duplicate literals #[71]): ∀ (a : Prop), Or (Eq mono_2Ec_2Ebool_2ET True) (Eq (skS.0 1 a) True) % 4.80/4.98 Clause #589 (by forward demodulation #[588, 26]): ∀ (a : Prop), Or (Eq False True) (Eq (skS.0 1 a) True) % 4.80/4.98 Clause #590 (by clausification #[589]): ∀ (a : Prop), Eq (skS.0 1 a) True % 4.80/4.98 Clause #591 (by identity loobHoist #[590]): ∀ (a : Prop), Or (Eq (skS.0 1 True) True) (Eq a False) % 4.80/4.98 Clause #597 (by falseElim #[591]): Eq (skS.0 1 True) True % 4.80/4.98 Clause #598 (by superposition #[597, 75]): ∀ (a : Prop), Or (Eq True False) (Eq a False) % 4.80/4.98 Clause #599 (by clausification #[598]): ∀ (a : Prop), Eq a False % 4.80/4.98 Clause #603 (by falseElim #[599]): False % 4.80/4.98 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------