%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS125+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n008.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 07:52:40 PM UTC 2025 % Result : Unsatisfiable 4.50s 8.78s % Output : Proof 4.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/3.57 % Problem : KRS125+1 : TPTP v9.2.0. Released v3.1.0. % 0.13/3.59 % Command : duper %s % 0.18/4.48 % Computer : n008.cluster.edu % 0.18/4.48 % Model : x86_64 x86_64 % 0.18/4.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/4.48 % Memory : 8042.1875MB % 0.18/4.48 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/4.48 % CPULimit : 300 % 0.18/4.48 % WCLimit : 300 % 0.18/4.48 % DateTime : Thu Oct 2 10:18:12 EDT 2025 % 0.18/4.48 % CPUTime : % 4.50/8.78 SZS status Theorem for theBenchmark.p % 4.50/8.78 SZS output start Proof for theBenchmark.p % 4.50/8.78 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cUnsatisfiable X) (And (ce3 X) (cf X))) True % 4.50/8.78 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cc X → cdxcomp X) True % 4.50/8.78 Clause #6 (by assumption #[]): Eq (∀ (X : Iota), Iff (cd X) (Not (Exists fun Y => ra_Px1 X Y))) True % 4.50/8.78 Clause #7 (by assumption #[]): Eq (∀ (X : Iota), Iff (cdxcomp X) (Exists fun Y0 => ra_Px1 X Y0)) True % 4.50/8.78 Clause #10 (by assumption #[]): Eq (∀ (X : Iota), ce3 X → cc X) True % 4.50/8.78 Clause #11 (by assumption #[]): Eq (∀ (X : Iota), cf X → cd X) True % 4.50/8.78 Clause #12 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_22_17947) True % 4.50/8.78 Clause #13 (by clausification #[11]): ∀ (a : Iota), Eq (cf a → cd a) True % 4.50/8.78 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (cf a) False) (Eq (cd a) True) % 4.50/8.78 Clause #15 (by clausification #[10]): ∀ (a : Iota), Eq (ce3 a → cc a) True % 4.50/8.78 Clause #16 (by clausification #[15]): ∀ (a : Iota), Or (Eq (ce3 a) False) (Eq (cc a) True) % 4.50/8.78 Clause #25 (by clausification #[3]): ∀ (a : Iota), Eq (cc a → cdxcomp a) True % 4.50/8.78 Clause #26 (by clausification #[25]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (cdxcomp a) True) % 4.50/8.78 Clause #32 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (cUnsatisfiable a) (And (ce3 a) (cf a))) True % 4.50/8.78 Clause #34 (by clausification #[32]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (ce3 a) (cf a)) True) % 4.50/8.78 Clause #36 (by betaEtaReduce #[6]): Eq (∀ (X : Iota), Iff (cd X) (Not (Exists (ra_Px1 X)))) True % 4.50/8.78 Clause #37 (by clausification #[36]): ∀ (a : Iota), Eq (Iff (cd a) (Not (Exists (ra_Px1 a)))) True % 4.50/8.78 Clause #39 (by clausification #[37]): ∀ (a : Iota), Or (Eq (cd a) False) (Eq (Not (Exists (ra_Px1 a))) True) % 4.50/8.78 Clause #42 (by clausification #[39]): ∀ (a : Iota), Or (Eq (cd a) False) (Eq (Exists (ra_Px1 a)) False) % 4.50/8.78 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), Or (Eq (cd a) False) (Eq (ra_Px1 a a_1) False) % 4.50/8.78 Clause #44 (by clausification #[34]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cf a) True) % 4.50/8.78 Clause #45 (by clausification #[34]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (ce3 a) True) % 4.50/8.78 Clause #46 (by superposition #[44, 12]): Or (Eq (cf i2003_11_14_17_22_17947) True) (Eq False True) % 4.50/8.78 Clause #47 (by clausification #[46]): Eq (cf i2003_11_14_17_22_17947) True % 4.50/8.78 Clause #48 (by superposition #[47, 14]): Or (Eq True False) (Eq (cd i2003_11_14_17_22_17947) True) % 4.50/8.78 Clause #49 (by clausification #[48]): Eq (cd i2003_11_14_17_22_17947) True % 4.50/8.78 Clause #50 (by superposition #[49, 43]): ∀ (a : Iota), Or (Eq True False) (Eq (ra_Px1 i2003_11_14_17_22_17947 a) False) % 4.50/8.78 Clause #51 (by superposition #[45, 12]): Or (Eq (ce3 i2003_11_14_17_22_17947) True) (Eq False True) % 4.50/8.78 Clause #52 (by betaEtaReduce #[7]): Eq (∀ (X : Iota), Iff (cdxcomp X) (Exists (ra_Px1 X))) True % 4.50/8.78 Clause #53 (by clausification #[52]): ∀ (a : Iota), Eq (Iff (cdxcomp a) (Exists (ra_Px1 a))) True % 4.50/8.78 Clause #55 (by clausification #[53]): ∀ (a : Iota), Or (Eq (cdxcomp a) False) (Eq (Exists (ra_Px1 a)) True) % 4.50/8.78 Clause #58 (by clausification #[51]): Eq (ce3 i2003_11_14_17_22_17947) True % 4.50/8.78 Clause #59 (by superposition #[58, 16]): Or (Eq True False) (Eq (cc i2003_11_14_17_22_17947) True) % 4.50/8.78 Clause #61 (by clausification #[59]): Eq (cc i2003_11_14_17_22_17947) True % 4.50/8.78 Clause #62 (by superposition #[61, 26]): Or (Eq True False) (Eq (cdxcomp i2003_11_14_17_22_17947) True) % 4.50/8.78 Clause #63 (by clausification #[62]): Eq (cdxcomp i2003_11_14_17_22_17947) True % 4.50/8.78 Clause #64 (by clausification #[50]): ∀ (a : Iota), Eq (ra_Px1 i2003_11_14_17_22_17947 a) False % 4.50/8.78 Clause #71 (by clausification #[55]): ∀ (a a_1 : Iota), Or (Eq (cdxcomp a) False) (Eq (ra_Px1 a (skS.0 1 a a_1)) True) % 4.50/8.78 Clause #72 (by superposition #[71, 63]): ∀ (a : Iota), Or (Eq (ra_Px1 i2003_11_14_17_22_17947 (skS.0 1 i2003_11_14_17_22_17947 a)) True) (Eq False True) % 4.50/8.78 Clause #90 (by clausification #[72]): ∀ (a : Iota), Eq (ra_Px1 i2003_11_14_17_22_17947 (skS.0 1 i2003_11_14_17_22_17947 a)) True % 4.50/8.78 Clause #91 (by superposition #[90, 64]): Eq True False % 4.50/8.78 Clause #93 (by clausification #[91]): False % 4.50/8.78 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------