%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP001^4 : TPTP v9.2.0. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 07:50:41 PM UTC 2025 % Result : Theorem 9.95s 10.16s % Output : Proof 9.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.11 % Problem : ITP001^4 : TPTP v9.2.0. Bugfixed v7.5.0. % 0.09/0.12 % Command : duper %s % 0.13/0.33 % Computer : n002.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Thu Oct 2 23:42:23 EDT 2025 % 0.13/0.33 % CPUTime : % 9.95/10.16 SZS status Theorem for theBenchmark.p % 9.95/10.16 SZS output start Proof for theBenchmark.p % 9.95/10.16 Clause #70 (by assumption #[]): Eq (∀ (V0t : Prop), Or (Eq V0t mono_2Ec_2Ebool_2ET) (Eq V0t mono_2Ec_2Ebool_2EF)) True % 9.95/10.16 Clause #80 (by assumption #[]): Eq (∀ (V0x : Prop), Iff (Not V0x) (V0x → mono_2Ec_2Ebool_2EF)) True % 9.95/10.16 Clause #95 (by assumption #[]): Eq (Not mono_2Ec_2Ebool_2ET) True % 9.95/10.16 Clause #96 (by clausification #[95]): Eq mono_2Ec_2Ebool_2ET False % 9.95/10.16 Clause #104 (by clausification #[80]): ∀ (a : Prop), Eq (Iff (Not a) (a → mono_2Ec_2Ebool_2EF)) True % 9.95/10.16 Clause #105 (by clausification #[104]): ∀ (a : Prop), Or (Eq (Not a) True) (Eq (a → mono_2Ec_2Ebool_2EF) False) % 9.95/10.16 Clause #107 (by clausification #[105]): ∀ (a : Prop), Or (Eq (a → mono_2Ec_2Ebool_2EF) False) (Eq a False) % 9.95/10.16 Clause #109 (by clausification #[107]): ∀ (a : Prop), Or (Eq a False) (Eq mono_2Ec_2Ebool_2EF False) % 9.95/10.16 Clause #110 (by falseElim #[109]): Eq mono_2Ec_2Ebool_2EF False % 9.95/10.16 Clause #2139 (by clausification #[70]): ∀ (a : Prop), Eq (Or (Eq a mono_2Ec_2Ebool_2ET) (Eq a mono_2Ec_2Ebool_2EF)) True % 9.95/10.16 Clause #2140 (by clausification #[2139]): ∀ (a : Prop), Or (Eq (Eq a mono_2Ec_2Ebool_2ET) True) (Eq (Eq a mono_2Ec_2Ebool_2EF) True) % 9.95/10.16 Clause #2141 (by clausification #[2140]): ∀ (a : Prop), Or (Eq (Eq a mono_2Ec_2Ebool_2EF) True) (Eq a mono_2Ec_2Ebool_2ET) % 9.95/10.16 Clause #2142 (by clausification #[2141]): ∀ (a : Prop), Or (Eq a mono_2Ec_2Ebool_2ET) (Eq a mono_2Ec_2Ebool_2EF) % 9.95/10.16 Clause #2143 (by forward demodulation #[2142, 96]): ∀ (a : Prop), Or (Eq a False) (Eq a mono_2Ec_2Ebool_2EF) % 9.95/10.16 Clause #2144 (by forward demodulation #[2143, 110]): ∀ (a : Prop), Or (Eq a False) (Eq a False) % 9.95/10.16 Clause #2145 (by eliminate duplicate literals #[2144]): ∀ (a : Prop), Eq a False % 9.95/10.16 Clause #2161 (by falseElim #[2145]): False % 9.95/10.16 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------