%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM666^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 07:57:00 PM UTC 2025 % Result : Theorem 3.51s 3.69s % Output : Proof 3.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM666^1 : TPTP v9.2.0. Released v3.7.0. % 0.06/0.13 % Command : duper %s % 0.13/0.34 % Computer : n028.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 : Fri Oct 3 06:59:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.51/3.69 SZS status Theorem for theBenchmark.p % 3.51/3.69 SZS output start Proof for theBenchmark.p % 3.51/3.69 Clause #0 (by assumption #[]): Eq (some fun Xu => diffprop x y Xu) True % 3.51/3.69 Clause #1 (by assumption #[]): Eq (moreis y z) True % 3.51/3.69 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy Xz : nat), lessis Xx Xy → (some fun Xv => diffprop Xz Xy Xv) → some fun Xv => diffprop Xz Xx Xv) True % 3.51/3.69 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy : nat), moreis Xx Xy → lessis Xy Xx) True % 3.51/3.69 Clause #4 (by assumption #[]): Eq (Not (some fun Xu => diffprop x z Xu)) True % 3.51/3.69 Clause #5 (by clausification #[3]): ∀ (a : nat), Eq (∀ (Xy : nat), moreis a Xy → lessis Xy a) True % 3.51/3.69 Clause #6 (by clausification #[5]): ∀ (a a_1 : nat), Eq (moreis a a_1 → lessis a_1 a) True % 3.51/3.69 Clause #7 (by clausification #[6]): ∀ (a a_1 : nat), Or (Eq (moreis a a_1) False) (Eq (lessis a_1 a) True) % 3.51/3.69 Clause #8 (by superposition #[7, 1]): Or (Eq (lessis z y) True) (Eq False True) % 3.51/3.69 Clause #9 (by clausification #[8]): Eq (lessis z y) True % 3.51/3.69 Clause #10 (by betaEtaReduce #[0]): Eq (some (diffprop x y)) True % 3.51/3.69 Clause #11 (by betaEtaReduce #[4]): Eq (Not (some (diffprop x z))) True % 3.51/3.69 Clause #12 (by clausification #[11]): Eq (some (diffprop x z)) False % 3.51/3.69 Clause #13 (by betaEtaReduce #[2]): Eq (∀ (Xx Xy Xz : nat), lessis Xx Xy → some (diffprop Xz Xy) → some (diffprop Xz Xx)) True % 3.51/3.69 Clause #14 (by clausification #[13]): ∀ (a : nat), Eq (∀ (Xy Xz : nat), lessis a Xy → some (diffprop Xz Xy) → some (diffprop Xz a)) True % 3.51/3.69 Clause #15 (by clausification #[14]): ∀ (a a_1 : nat), Eq (∀ (Xz : nat), lessis a a_1 → some (diffprop Xz a_1) → some (diffprop Xz a)) True % 3.51/3.69 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : nat), Eq (lessis a a_1 → some (diffprop a_2 a_1) → some (diffprop a_2 a)) True % 3.51/3.69 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : nat), Or (Eq (lessis a a_1) False) (Eq (some (diffprop a_2 a_1) → some (diffprop a_2 a)) True) % 3.51/3.69 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : nat), % 3.51/3.69 Or (Eq (lessis a a_1) False) (Or (Eq (some (diffprop a_2 a_1)) False) (Eq (some (diffprop a_2 a)) True)) % 3.51/3.69 Clause #19 (by superposition #[18, 9]): ∀ (a : nat), Or (Eq (some (diffprop a y)) False) (Or (Eq (some (diffprop a z)) True) (Eq False True)) % 3.51/3.69 Clause #20 (by clausification #[19]): ∀ (a : nat), Or (Eq (some (diffprop a y)) False) (Eq (some (diffprop a z)) True) % 3.51/3.69 Clause #21 (by superposition #[20, 10]): Or (Eq (some (diffprop x z)) True) (Eq False True) % 3.51/3.69 Clause #22 (by clausification #[21]): Eq (some (diffprop x z)) True % 3.51/3.69 Clause #23 (by superposition #[22, 12]): Eq True False % 3.51/3.69 Clause #24 (by clausification #[23]): False % 3.51/3.69 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------