%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS092+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n018.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 07:52:36 PM UTC 2025 % Result : Unsatisfiable 3.69s 3.88s % Output : Proof 3.69s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS092+1 : TPTP v9.2.0. Released v3.1.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 10:22:53 EDT 2025 % 0.13/0.34 % CPUTime : % 3.69/3.88 SZS status Theorem for theBenchmark.p % 3.69/3.88 SZS output start Proof for theBenchmark.p % 3.69/3.88 Clause #2 (by assumption #[]): Eq % 3.69/3.88 (∀ (X : Iota), % 3.69/3.88 Iff (cUnsatisfiable X) % 3.69/3.88 (And (Exists fun Y => And (rr X Y) (cowlThing Y)) (∀ (Y : Iota), rr X Y → And (cd Y) (cc Y)))) % 3.69/3.88 True % 3.69/3.88 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cc X → Not (cd X)) True % 3.69/3.88 Clause #8 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_20_04172) True % 3.69/3.88 Clause #22 (by clausification #[3]): ∀ (a : Iota), Eq (cc a → Not (cd a)) True % 3.69/3.88 Clause #23 (by clausification #[22]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (Not (cd a)) True) % 3.69/3.88 Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (cd a) False) % 3.69/3.88 Clause #32 (by clausification #[2]): ∀ (a : Iota), % 3.69/3.88 Eq % 3.69/3.88 (Iff (cUnsatisfiable a) % 3.69/3.88 (And (Exists fun Y => And (rr a Y) (cowlThing Y)) (∀ (Y : Iota), rr a Y → And (cd Y) (cc Y)))) % 3.69/3.88 True % 3.69/3.88 Clause #34 (by clausification #[32]): ∀ (a : Iota), % 3.69/3.88 Or (Eq (cUnsatisfiable a) False) % 3.69/3.88 (Eq (And (Exists fun Y => And (rr a Y) (cowlThing Y)) (∀ (Y : Iota), rr a Y → And (cd Y) (cc Y))) True) % 3.69/3.88 Clause #44 (by clausification #[34]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (∀ (Y : Iota), rr a Y → And (cd Y) (cc Y)) True) % 3.69/3.88 Clause #45 (by clausification #[34]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Y => And (rr a Y) (cowlThing Y)) True) % 3.69/3.88 Clause #46 (by clausification #[44]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a a_1 → And (cd a_1) (cc a_1)) True) % 3.69/3.88 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (rr a a_1) False) (Eq (And (cd a_1) (cc a_1)) True)) % 3.69/3.88 Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (rr a a_1) False) (Eq (cc a_1) True)) % 3.69/3.88 Clause #49 (by clausification #[47]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (rr a a_1) False) (Eq (cd a_1) True)) % 3.69/3.88 Clause #50 (by superposition #[48, 8]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_20_04172 a) False) (Or (Eq (cc a) True) (Eq False True)) % 3.69/3.88 Clause #51 (by clausification #[50]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_20_04172 a) False) (Eq (cc a) True) % 3.69/3.88 Clause #52 (by superposition #[49, 8]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_20_04172 a) False) (Or (Eq (cd a) True) (Eq False True)) % 3.69/3.88 Clause #53 (by clausification #[52]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_20_04172 a) False) (Eq (cd a) True) % 3.69/3.88 Clause #54 (by clausification #[45]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rr a (skS.0 1 a a_1)) (cowlThing (skS.0 1 a a_1))) True) % 3.69/3.88 Clause #56 (by clausification #[54]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a (skS.0 1 a a_1)) True) % 3.69/3.88 Clause #60 (by superposition #[56, 8]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_20_04172 (skS.0 1 i2003_11_14_17_20_04172 a)) True) (Eq False True) % 3.69/3.88 Clause #61 (by clausification #[60]): ∀ (a : Iota), Eq (rr i2003_11_14_17_20_04172 (skS.0 1 i2003_11_14_17_20_04172 a)) True % 3.69/3.88 Clause #62 (by superposition #[61, 51]): ∀ (a : Iota), Or (Eq True False) (Eq (cc (skS.0 1 i2003_11_14_17_20_04172 a)) True) % 3.69/3.88 Clause #63 (by superposition #[61, 53]): ∀ (a : Iota), Or (Eq True False) (Eq (cd (skS.0 1 i2003_11_14_17_20_04172 a)) True) % 3.69/3.88 Clause #65 (by clausification #[63]): ∀ (a : Iota), Eq (cd (skS.0 1 i2003_11_14_17_20_04172 a)) True % 3.69/3.88 Clause #66 (by clausification #[62]): ∀ (a : Iota), Eq (cc (skS.0 1 i2003_11_14_17_20_04172 a)) True % 3.69/3.88 Clause #67 (by superposition #[66, 24]): ∀ (a : Iota), Or (Eq True False) (Eq (cd (skS.0 1 i2003_11_14_17_20_04172 a)) False) % 3.69/3.88 Clause #68 (by clausification #[67]): ∀ (a : Iota), Eq (cd (skS.0 1 i2003_11_14_17_20_04172 a)) False % 3.69/3.88 Clause #69 (by superposition #[68, 65]): Eq False True % 3.69/3.88 Clause #72 (by clausification #[69]): False % 3.69/3.88 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------