%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : KRS074+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n013.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 07:52:34 PM UTC 2025 % Result : Unsatisfiable 3.71s 3.91s % Output : Proof 3.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS074+1 : TPTP v9.2.0. Released v3.1.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n013.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 10:15:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.71/3.91 SZS status Theorem for theBenchmark.p % 3.71/3.91 SZS output start Proof for theBenchmark.p % 3.71/3.91 Clause #20 (by assumption #[]): Eq % 3.71/3.91 (∀ (X : Iota), % 3.71/3.91 Iff (cUnsatisfiable X) % 3.71/3.91 (And (Exists fun Y => And (And (rs X Y) (cp Y)) (Exists fun Z => And (rinvS Y Z) (cp Z))) % 3.71/3.91 (∀ (Y : Iota), rs X Y → Not (cp Y)))) % 3.71/3.91 True % 3.71/3.91 Clause #27 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_18_59896) True % 3.71/3.91 Clause #179 (by clausification #[20]): ∀ (a : Iota), % 3.71/3.91 Eq % 3.71/3.91 (Iff (cUnsatisfiable a) % 3.71/3.91 (And (Exists fun Y => And (And (rs a Y) (cp Y)) (Exists fun Z => And (rinvS Y Z) (cp Z))) % 3.71/3.91 (∀ (Y : Iota), rs a Y → Not (cp Y)))) % 3.71/3.91 True % 3.71/3.91 Clause #181 (by clausification #[179]): ∀ (a : Iota), % 3.71/3.91 Or (Eq (cUnsatisfiable a) False) % 3.71/3.91 (Eq % 3.71/3.91 (And (Exists fun Y => And (And (rs a Y) (cp Y)) (Exists fun Z => And (rinvS Y Z) (cp Z))) % 3.71/3.91 (∀ (Y : Iota), rs a Y → Not (cp Y))) % 3.71/3.91 True) % 3.71/3.91 Clause #204 (by clausification #[181]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (∀ (Y : Iota), rs a Y → Not (cp Y)) True) % 3.71/3.91 Clause #205 (by clausification #[181]): ∀ (a : Iota), % 3.71/3.91 Or (Eq (cUnsatisfiable a) False) % 3.71/3.91 (Eq (Exists fun Y => And (And (rs a Y) (cp Y)) (Exists fun Z => And (rinvS Y Z) (cp Z))) True) % 3.71/3.91 Clause #206 (by clausification #[204]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rs a a_1 → Not (cp a_1)) True) % 3.71/3.91 Clause #207 (by clausification #[206]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (rs a a_1) False) (Eq (Not (cp a_1)) True)) % 3.71/3.91 Clause #208 (by clausification #[207]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (rs a a_1) False) (Eq (cp a_1) False)) % 3.71/3.91 Clause #209 (by superposition #[208, 27]): ∀ (a : Iota), Or (Eq (rs i2003_11_14_17_18_59896 a) False) (Or (Eq (cp a) False) (Eq False True)) % 3.71/3.91 Clause #210 (by clausification #[209]): ∀ (a : Iota), Or (Eq (rs i2003_11_14_17_18_59896 a) False) (Eq (cp a) False) % 3.71/3.91 Clause #211 (by clausification #[205]): ∀ (a a_1 : Iota), % 3.71/3.91 Or (Eq (cUnsatisfiable a) False) % 3.71/3.91 (Eq (And (And (rs a (skS.0 1 a a_1)) (cp (skS.0 1 a a_1))) (Exists fun Z => And (rinvS (skS.0 1 a a_1) Z) (cp Z))) % 3.71/3.91 True) % 3.71/3.91 Clause #213 (by clausification #[211]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rs a (skS.0 1 a a_1)) (cp (skS.0 1 a a_1))) True) % 3.71/3.91 Clause #235 (by clausification #[213]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cp (skS.0 1 a a_1)) True) % 3.71/3.91 Clause #236 (by clausification #[213]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rs a (skS.0 1 a a_1)) True) % 3.71/3.91 Clause #237 (by superposition #[235, 27]): ∀ (a : Iota), Or (Eq (cp (skS.0 1 i2003_11_14_17_18_59896 a)) True) (Eq False True) % 3.71/3.91 Clause #238 (by clausification #[237]): ∀ (a : Iota), Eq (cp (skS.0 1 i2003_11_14_17_18_59896 a)) True % 3.71/3.91 Clause #239 (by superposition #[236, 27]): ∀ (a : Iota), Or (Eq (rs i2003_11_14_17_18_59896 (skS.0 1 i2003_11_14_17_18_59896 a)) True) (Eq False True) % 3.71/3.91 Clause #240 (by clausification #[239]): ∀ (a : Iota), Eq (rs i2003_11_14_17_18_59896 (skS.0 1 i2003_11_14_17_18_59896 a)) True % 3.71/3.91 Clause #241 (by superposition #[240, 210]): ∀ (a : Iota), Or (Eq True False) (Eq (cp (skS.0 1 i2003_11_14_17_18_59896 a)) False) % 3.71/3.91 Clause #248 (by clausification #[241]): ∀ (a : Iota), Eq (cp (skS.0 1 i2003_11_14_17_18_59896 a)) False % 3.71/3.91 Clause #249 (by superposition #[248, 238]): Eq False True % 3.71/3.91 Clause #250 (by clausification #[249]): False % 3.71/3.91 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------