%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP001^7 : TPTP v9.2.0. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n022.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 07:50:42 PM UTC 2025 % Result : Theorem 4.57s 4.77s % Output : Proof 4.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : ITP001^7 : TPTP v9.2.0. Bugfixed v7.5.0. % 0.10/0.13 % Command : duper %s % 0.13/0.34 % Computer : n022.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 00:18:23 EDT 2025 % 0.13/0.34 % CPUTime : % 4.57/4.77 SZS status Theorem for theBenchmark.p % 4.57/4.77 SZS output start Proof for theBenchmark.p % 4.57/4.77 Clause #14 (by assumption #[]): Eq (∀ (V0t : Prop), Or (Eq V0t c_2Ebool_2ET) (Eq V0t c_2Ebool_2EF)) True % 4.57/4.77 Clause #23 (by assumption #[]): Eq (Iff c_2Ebool_2EF (∀ (V0t : Prop), V0t)) True % 4.57/4.77 Clause #39 (by assumption #[]): Eq (Not c_2Ebool_2ET) True % 4.57/4.77 Clause #40 (by clausification #[39]): Eq c_2Ebool_2ET False % 4.57/4.77 Clause #42 (by clausification #[23]): Or (Eq c_2Ebool_2EF False) (Eq (∀ (V0t : Prop), V0t) True) % 4.57/4.77 Clause #47 (by clausification #[42]): ∀ (a : Prop), Or (Eq c_2Ebool_2EF False) (Eq a True) % 4.57/4.77 Clause #562 (by clausification #[14]): ∀ (a : Prop), Eq (Or (Eq a c_2Ebool_2ET) (Eq a c_2Ebool_2EF)) True % 4.57/4.77 Clause #563 (by clausification #[562]): ∀ (a : Prop), Or (Eq (Eq a c_2Ebool_2ET) True) (Eq (Eq a c_2Ebool_2EF) True) % 4.57/4.77 Clause #564 (by clausification #[563]): ∀ (a : Prop), Or (Eq (Eq a c_2Ebool_2EF) True) (Eq a c_2Ebool_2ET) % 4.57/4.77 Clause #565 (by clausification #[564]): ∀ (a : Prop), Or (Eq a c_2Ebool_2ET) (Eq a c_2Ebool_2EF) % 4.57/4.77 Clause #566 (by forward demodulation #[565, 40]): ∀ (a : Prop), Or (Eq a False) (Eq a c_2Ebool_2EF) % 4.57/4.77 Clause #585 (by falseElim #[566]): Eq True c_2Ebool_2EF % 4.57/4.77 Clause #602 (by superposition #[585, 47]): ∀ (a : Prop), Or (Eq True False) (Eq a True) % 4.57/4.77 Clause #612 (by clausification #[602]): ∀ (a : Prop), Eq a True % 4.57/4.77 Clause #615 (by falseElim #[612]): False % 4.57/4.77 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------