%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : DAT178^1 : TPTP v9.2.0. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n027.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 07:47:15 PM UTC 2025 % Result : Theorem 5.15s 5.35s % Output : Proof 5.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : DAT178^1 : TPTP v9.2.0. Released v7.0.0. % 0.13/0.13 % Command : duper %s % 0.13/0.35 % Computer : n027.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 21:46:08 EDT 2025 % 0.13/0.35 % CPUTime : % 5.15/5.35 SZS status Theorem for theBenchmark.p % 5.15/5.35 SZS output start Proof for theBenchmark.p % 5.15/5.35 Clause #0 (by assumption #[]): Eq (p (coinductive_LNil a)) True % 5.15/5.35 Clause #1 (by assumption #[]): Eq (Eq la (coinductive_LNil a)) True % 5.15/5.35 Clause #3 (by assumption #[]): Eq (∀ (A : Type), Eq (lList2281150353e_lrev A (coinductive_LNil A)) (coinductive_LNil A)) True % 5.15/5.35 Clause #254 (by assumption #[]): Eq (Not (p (lList2281150353e_lrev a la))) True % 5.15/5.35 Clause #255 (by clausification #[1]): Eq la (coinductive_LNil a) % 5.15/5.35 Clause #256 (by backward demodulation #[255, 0]): Eq (p la) True % 5.15/5.35 Clause #257 (by clausification #[254]): Eq (p (lList2281150353e_lrev a la)) False % 5.15/5.35 Clause #265 (by clausification #[3]): ∀ (a : Type), Eq (Eq (lList2281150353e_lrev a (coinductive_LNil a)) (coinductive_LNil a)) True % 5.15/5.35 Clause #266 (by clausification #[265]): ∀ (a : Type), Eq (lList2281150353e_lrev a (coinductive_LNil a)) (coinductive_LNil a) % 5.15/5.35 Clause #267 (by superposition #[266, 255]): Eq (lList2281150353e_lrev a la) la % 5.15/5.35 Clause #268 (by backward demodulation #[267, 257]): Eq (p la) False % 5.15/5.35 Clause #269 (by superposition #[268, 256]): Eq False True % 5.15/5.35 Clause #270 (by clausification #[269]): False % 5.15/5.35 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------