%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP040^1 : TPTP v9.2.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n007.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 07:51:05 PM UTC 2025 % Result : Theorem 4.07s 4.25s % Output : Proof 4.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ITP040^1 : TPTP v9.2.0. Released v7.5.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n007.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 00:50:53 EDT 2025 % 0.13/0.34 % CPUTime : % 4.07/4.25 SZS status Theorem for theBenchmark.p % 4.07/4.25 SZS output start Proof for theBenchmark.p % 4.07/4.25 Clause #0 (by assumption #[]): Eq % 4.07/4.25 (∀ (X : c) (I : denota231621370t_unit) (ODE : oDE_a_c), % 4.07/4.25 member_c X (denota540094197_a_b_c I ODE) → member_c X (static_FVO_a_c ODE)) % 4.07/4.25 True % 4.07/4.25 Clause #328 (by assumption #[]): Eq (member_c i2 (denota540094197_a_b_c i oDEa)) True % 4.07/4.25 Clause #329 (by assumption #[]): Eq (Not (member_c i2 (static_FVO_a_c oDEa))) True % 4.07/4.25 Clause #339 (by clausification #[0]): ∀ (a : c), % 4.07/4.25 Eq % 4.07/4.25 (∀ (I : denota231621370t_unit) (ODE : oDE_a_c), % 4.07/4.25 member_c a (denota540094197_a_b_c I ODE) → member_c a (static_FVO_a_c ODE)) % 4.07/4.25 True % 4.07/4.25 Clause #340 (by clausification #[339]): ∀ (a : c) (a_1 : denota231621370t_unit), % 4.07/4.25 Eq (∀ (ODE : oDE_a_c), member_c a (denota540094197_a_b_c a_1 ODE) → member_c a (static_FVO_a_c ODE)) True % 4.07/4.25 Clause #341 (by clausification #[340]): ∀ (a : c) (a_1 : denota231621370t_unit) (a_2 : oDE_a_c), % 4.07/4.25 Eq (member_c a (denota540094197_a_b_c a_1 a_2) → member_c a (static_FVO_a_c a_2)) True % 4.07/4.25 Clause #342 (by clausification #[341]): ∀ (a : c) (a_1 : denota231621370t_unit) (a_2 : oDE_a_c), % 4.07/4.25 Or (Eq (member_c a (denota540094197_a_b_c a_1 a_2)) False) (Eq (member_c a (static_FVO_a_c a_2)) True) % 4.07/4.25 Clause #350 (by clausification #[329]): Eq (member_c i2 (static_FVO_a_c oDEa)) False % 4.07/4.25 Clause #351 (by superposition #[328, 342]): Or (Eq (member_c i2 (static_FVO_a_c oDEa)) True) (Eq False True) % 4.07/4.25 Clause #569 (by clausification #[351]): Eq (member_c i2 (static_FVO_a_c oDEa)) True % 4.07/4.25 Clause #570 (by superposition #[569, 350]): Eq True False % 4.07/4.25 Clause #577 (by clausification #[570]): False % 4.07/4.25 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------