%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM665^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n004.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 07:56:59 PM UTC 2025 % Result : Theorem 3.79s 3.94s % Output : Proof 3.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : NUM665^1 : TPTP v9.2.0. Released v3.7.0. % 0.12/0.14 % Command : duper %s % 0.15/0.36 % Computer : n004.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Fri Oct 3 08:56:08 EDT 2025 % 0.15/0.36 % CPUTime : % 3.79/3.94 SZS status Theorem for theBenchmark.p % 3.79/3.94 SZS output start Proof for theBenchmark.p % 3.79/3.94 Clause #0 (by assumption #[]): Eq (moreis x y) True % 3.79/3.94 Clause #1 (by assumption #[]): Eq (some fun Xu => diffprop y z Xu) True % 3.79/3.94 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy Xz : nat), (some fun Xv => diffprop Xy Xx Xv) → lessis Xy Xz → some fun Xv => diffprop Xz Xx Xv) True % 3.79/3.94 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy : nat), moreis Xx Xy → lessis Xy Xx) True % 3.79/3.94 Clause #4 (by assumption #[]): Eq (Not (some fun Xu => diffprop x z Xu)) True % 3.79/3.94 Clause #5 (by clausification #[3]): ∀ (a : nat), Eq (∀ (Xy : nat), moreis a Xy → lessis Xy a) True % 3.79/3.94 Clause #6 (by clausification #[5]): ∀ (a a_1 : nat), Eq (moreis a a_1 → lessis a_1 a) True % 3.79/3.94 Clause #7 (by clausification #[6]): ∀ (a a_1 : nat), Or (Eq (moreis a a_1) False) (Eq (lessis a_1 a) True) % 3.79/3.94 Clause #8 (by superposition #[7, 0]): Or (Eq (lessis y x) True) (Eq False True) % 3.79/3.94 Clause #9 (by clausification #[8]): Eq (lessis y x) True % 3.79/3.94 Clause #10 (by betaEtaReduce #[1]): Eq (some (diffprop y z)) True % 3.79/3.94 Clause #11 (by betaEtaReduce #[4]): Eq (Not (some (diffprop x z))) True % 3.79/3.94 Clause #12 (by clausification #[11]): Eq (some (diffprop x z)) False % 3.79/3.94 Clause #13 (by betaEtaReduce #[2]): Eq (∀ (Xx Xy Xz : nat), some (diffprop Xy Xx) → lessis Xy Xz → some (diffprop Xz Xx)) True % 3.79/3.94 Clause #14 (by clausification #[13]): ∀ (a : nat), Eq (∀ (Xy Xz : nat), some (diffprop Xy a) → lessis Xy Xz → some (diffprop Xz a)) True % 3.79/3.94 Clause #15 (by clausification #[14]): ∀ (a a_1 : nat), Eq (∀ (Xz : nat), some (diffprop a a_1) → lessis a Xz → some (diffprop Xz a_1)) True % 3.79/3.94 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : nat), Eq (some (diffprop a a_1) → lessis a a_2 → some (diffprop a_2 a_1)) True % 3.79/3.94 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : nat), Or (Eq (some (diffprop a a_1)) False) (Eq (lessis a a_2 → some (diffprop a_2 a_1)) True) % 3.79/3.94 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : nat), % 3.79/3.94 Or (Eq (some (diffprop a a_1)) False) (Or (Eq (lessis a a_2) False) (Eq (some (diffprop a_2 a_1)) True)) % 3.79/3.94 Clause #19 (by superposition #[18, 10]): ∀ (a : nat), Or (Eq (lessis y a) False) (Or (Eq (some (diffprop a z)) True) (Eq False True)) % 3.79/3.94 Clause #20 (by clausification #[19]): ∀ (a : nat), Or (Eq (lessis y a) False) (Eq (some (diffprop a z)) True) % 3.79/3.94 Clause #21 (by superposition #[20, 9]): Or (Eq (some (diffprop x z)) True) (Eq False True) % 3.79/3.94 Clause #22 (by clausification #[21]): Eq (some (diffprop x z)) True % 3.79/3.94 Clause #23 (by superposition #[22, 12]): Eq True False % 3.79/3.94 Clause #25 (by clausification #[23]): False % 3.79/3.94 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------