%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWW525_5 : TPTP v9.2.0. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n004.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 08:06:23 PM UTC 2025 % Result : Theorem 3.61s 3.87s % Output : Proof 3.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.15 % Problem : SWW525_5 : TPTP v9.2.0. Released v6.0.0. % 0.11/0.16 % Command : duper %s % 0.13/0.38 % Computer : n004.cluster.edu % 0.13/0.38 % Model : x86_64 x86_64 % 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.38 % Memory : 8042.1875MB % 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.38 % CPULimit : 300 % 0.13/0.38 % WCLimit : 300 % 0.13/0.38 % DateTime : Thu Oct 2 10:38:53 EDT 2025 % 0.13/0.38 % CPUTime : % 3.61/3.87 SZS status Theorem for theBenchmark.p % 3.61/3.87 SZS output start Proof for theBenchmark.p % 3.61/3.87 Clause #1 (by assumption #[]): Eq (hoare_531836380gleton → ∀ (T2 : state), Not (∀ (S3 : state), Eq S3 T2)) True % 3.61/3.87 Clause #100 (by assumption #[]): Eq hoare_531836380gleton True % 3.61/3.87 Clause #101 (by assumption #[]): Eq (∀ (Z : state), (∀ (S1 : state), evalc c z S1 → Eq Z S1) → Eq Z s) True % 3.61/3.87 Clause #102 (by assumption #[]): Eq (Not (Exists fun X1 => evalc c z X1)) True % 3.61/3.87 Clause #118 (by clausification #[101]): ∀ (a : state), Eq ((∀ (S1 : state), evalc c z S1 → Eq a S1) → Eq a s) True % 3.61/3.87 Clause #119 (by clausification #[118]): ∀ (a : state), Or (Eq (∀ (S1 : state), evalc c z S1 → Eq a S1) False) (Eq (Eq a s) True) % 3.61/3.87 Clause #120 (by clausification #[119]): ∀ (a a_1 : state), Or (Eq (Eq a s) True) (Eq (Not (evalc c z (skS.0 0 a a_1) → Eq a (skS.0 0 a a_1))) True) % 3.61/3.87 Clause #121 (by clausification #[120]): ∀ (a a_1 : state), Or (Eq (Not (evalc c z (skS.0 0 a a_1) → Eq a (skS.0 0 a a_1))) True) (Eq a s) % 3.61/3.87 Clause #122 (by clausification #[121]): ∀ (a a_1 : state), Or (Eq a s) (Eq (evalc c z (skS.0 0 a a_1) → Eq a (skS.0 0 a a_1)) False) % 3.61/3.87 Clause #123 (by clausification #[122]): ∀ (a a_1 : state), Or (Eq a s) (Eq (evalc c z (skS.0 0 a a_1)) True) % 3.61/3.87 Clause #131 (by clausification #[1]): Or (Eq hoare_531836380gleton False) (Eq (∀ (T2 : state), Not (∀ (S3 : state), Eq S3 T2)) True) % 3.61/3.87 Clause #132 (by clausification #[131]): ∀ (a : state), Or (Eq hoare_531836380gleton False) (Eq (Not (∀ (S3 : state), Eq S3 a)) True) % 3.61/3.87 Clause #133 (by clausification #[132]): ∀ (a : state), Or (Eq hoare_531836380gleton False) (Eq (∀ (S3 : state), Eq S3 a) False) % 3.61/3.87 Clause #134 (by clausification #[133]): ∀ (a a_1 : state), Or (Eq hoare_531836380gleton False) (Eq (Not (Eq (skS.0 1 a a_1) a)) True) % 3.61/3.87 Clause #135 (by clausification #[134]): ∀ (a a_1 : state), Or (Eq hoare_531836380gleton False) (Eq (Eq (skS.0 1 a a_1) a) False) % 3.61/3.87 Clause #136 (by clausification #[135]): ∀ (a a_1 : state), Or (Eq hoare_531836380gleton False) (Ne (skS.0 1 a a_1) a) % 3.61/3.87 Clause #184 (by betaEtaReduce #[102]): Eq (Not (Exists (evalc c z))) True % 3.61/3.87 Clause #185 (by clausification #[184]): Eq (Exists (evalc c z)) False % 3.61/3.87 Clause #186 (by clausification #[185]): ∀ (a : state), Eq (evalc c z a) False % 3.61/3.87 Clause #187 (by superposition #[186, 123]): ∀ (a : state), Or (Eq a s) (Eq False True) % 3.61/3.87 Clause #188 (by clausification #[187]): ∀ (a : state), Eq a s % 3.61/3.87 Clause #189 (by superposition #[188, 188]): ∀ (a a_1 : state), Eq a a_1 % 3.61/3.87 Clause #190 (by backward contextual literal cutting #[189, 136]): Eq hoare_531836380gleton False % 3.61/3.87 Clause #192 (by superposition #[190, 100]): Eq False True % 3.61/3.87 Clause #202 (by clausification #[192]): False % 3.61/3.87 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------