%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS126+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n021.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 3.66s 3.90s % Output : Proof 3.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.18 % Problem : KRS126+1 : TPTP v9.2.0. Released v3.1.0. % 0.12/0.19 % Command : duper %s % 0.14/0.40 % Computer : n021.cluster.edu % 0.14/0.40 % Model : x86_64 x86_64 % 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.40 % Memory : 8042.1875MB % 0.14/0.40 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.40 % CPULimit : 300 % 0.14/0.40 % WCLimit : 300 % 0.14/0.40 % DateTime : Thu Oct 2 10:21:38 EDT 2025 % 0.14/0.41 % CPUTime : % 3.66/3.90 SZS status Theorem for theBenchmark.p % 3.66/3.90 SZS output start Proof for theBenchmark.p % 3.66/3.90 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), cUnsatisfiable X → cd1xcomp X) True % 3.66/3.90 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cUnsatisfiable X → cd1 X) True % 3.66/3.90 Clause #7 (by assumption #[]): Eq (∀ (X : Iota), Iff (cd1 X) (Exists fun Y0 => ra_Px2 X Y0)) True % 3.66/3.90 Clause #8 (by assumption #[]): Eq (∀ (X : Iota), Iff (cd1xcomp X) (Not (Exists fun Y => ra_Px2 X Y))) True % 3.66/3.90 Clause #11 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_22_23554) True % 3.66/3.90 Clause #18 (by clausification #[3]): ∀ (a : Iota), Eq (cUnsatisfiable a → cd1 a) True % 3.66/3.90 Clause #19 (by clausification #[18]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cd1 a) True) % 3.66/3.90 Clause #20 (by superposition #[19, 11]): Or (Eq (cd1 i2003_11_14_17_22_23554) True) (Eq False True) % 3.66/3.90 Clause #25 (by clausification #[20]): Eq (cd1 i2003_11_14_17_22_23554) True % 3.66/3.90 Clause #26 (by clausification #[2]): ∀ (a : Iota), Eq (cUnsatisfiable a → cd1xcomp a) True % 3.66/3.90 Clause #27 (by clausification #[26]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cd1xcomp a) True) % 3.66/3.90 Clause #28 (by superposition #[27, 11]): Or (Eq (cd1xcomp i2003_11_14_17_22_23554) True) (Eq False True) % 3.66/3.90 Clause #29 (by clausification #[28]): Eq (cd1xcomp i2003_11_14_17_22_23554) True % 3.66/3.90 Clause #45 (by betaEtaReduce #[7]): Eq (∀ (X : Iota), Iff (cd1 X) (Exists (ra_Px2 X))) True % 3.66/3.90 Clause #46 (by clausification #[45]): ∀ (a : Iota), Eq (Iff (cd1 a) (Exists (ra_Px2 a))) True % 3.66/3.90 Clause #48 (by clausification #[46]): ∀ (a : Iota), Or (Eq (cd1 a) False) (Eq (Exists (ra_Px2 a)) True) % 3.66/3.90 Clause #50 (by clausification #[48]): ∀ (a a_1 : Iota), Or (Eq (cd1 a) False) (Eq (ra_Px2 a (skS.0 1 a a_1)) True) % 3.66/3.90 Clause #51 (by superposition #[50, 25]): ∀ (a : Iota), Or (Eq (ra_Px2 i2003_11_14_17_22_23554 (skS.0 1 i2003_11_14_17_22_23554 a)) True) (Eq False True) % 3.66/3.90 Clause #61 (by betaEtaReduce #[8]): Eq (∀ (X : Iota), Iff (cd1xcomp X) (Not (Exists (ra_Px2 X)))) True % 3.66/3.90 Clause #62 (by clausification #[61]): ∀ (a : Iota), Eq (Iff (cd1xcomp a) (Not (Exists (ra_Px2 a)))) True % 3.66/3.90 Clause #64 (by clausification #[62]): ∀ (a : Iota), Or (Eq (cd1xcomp a) False) (Eq (Not (Exists (ra_Px2 a))) True) % 3.66/3.90 Clause #69 (by clausification #[51]): ∀ (a : Iota), Eq (ra_Px2 i2003_11_14_17_22_23554 (skS.0 1 i2003_11_14_17_22_23554 a)) True % 3.66/3.90 Clause #71 (by clausification #[64]): ∀ (a : Iota), Or (Eq (cd1xcomp a) False) (Eq (Exists (ra_Px2 a)) False) % 3.66/3.90 Clause #72 (by clausification #[71]): ∀ (a a_1 : Iota), Or (Eq (cd1xcomp a) False) (Eq (ra_Px2 a a_1) False) % 3.66/3.90 Clause #73 (by superposition #[72, 29]): ∀ (a : Iota), Or (Eq (ra_Px2 i2003_11_14_17_22_23554 a) False) (Eq False True) % 3.66/3.90 Clause #75 (by clausification #[73]): ∀ (a : Iota), Eq (ra_Px2 i2003_11_14_17_22_23554 a) False % 3.66/3.90 Clause #76 (by superposition #[75, 69]): Eq False True % 3.66/3.90 Clause #77 (by clausification #[76]): False % 3.66/3.90 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------