%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR042+2 : TPTP v9.2.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 07:46:09 PM UTC 2025 % Result : Theorem 237.53s 237.71s % Output : Proof 237.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : CSR042+2 : TPTP v9.2.0. Released v3.4.0. % 0.08/0.16 % Command : duper %s % 0.15/0.38 % Computer : n016.cluster.edu % 0.15/0.38 % Model : x86_64 x86_64 % 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.38 % Memory : 8042.1875MB % 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.38 % CPULimit : 300 % 0.15/0.38 % WCLimit : 300 % 0.15/0.38 % DateTime : Thu Oct 2 20:13:53 EDT 2025 % 0.15/0.38 % CPUTime : % 237.53/237.71 SZS status Theorem for theBenchmark.p % 237.53/237.71 SZS output start Proof for theBenchmark.p % 237.53/237.71 Clause #121 (by assumption #[]): Eq (mtvisible c_tptpgeo_member7_mt → borderson c_georegion_l4_x27_y64 c_georegion_l4_x27_y65) True % 237.53/237.71 Clause #892 (by assumption #[]): Eq (∀ (X Y : Iota), borderson X Y → borderson Y X) True % 237.53/237.71 Clause #1103 (by assumption #[]): Eq (Not (Exists fun ARG1 => mtvisible c_tptpgeo_member7_mt → borderson ARG1 c_georegion_l4_x27_y64)) True % 237.53/237.71 Clause #1417 (by clausification #[121]): Or (Eq (mtvisible c_tptpgeo_member7_mt) False) (Eq (borderson c_georegion_l4_x27_y64 c_georegion_l4_x27_y65) True) % 237.53/237.71 Clause #6477 (by clausification #[892]): ∀ (a : Iota), Eq (∀ (Y : Iota), borderson a Y → borderson Y a) True % 237.53/237.71 Clause #6478 (by clausification #[6477]): ∀ (a a_1 : Iota), Eq (borderson a a_1 → borderson a_1 a) True % 237.53/237.71 Clause #6479 (by clausification #[6478]): ∀ (a a_1 : Iota), Or (Eq (borderson a a_1) False) (Eq (borderson a_1 a) True) % 237.53/237.71 Clause #9147 (by clausification #[1103]): Eq (Exists fun ARG1 => mtvisible c_tptpgeo_member7_mt → borderson ARG1 c_georegion_l4_x27_y64) False % 237.53/237.71 Clause #9148 (by clausification #[9147]): ∀ (a : Iota), Eq (mtvisible c_tptpgeo_member7_mt → borderson a c_georegion_l4_x27_y64) False % 237.53/237.71 Clause #9149 (by clausification #[9148]): Eq (mtvisible c_tptpgeo_member7_mt) True % 237.53/237.71 Clause #9150 (by clausification #[9148]): ∀ (a : Iota), Eq (borderson a c_georegion_l4_x27_y64) False % 237.53/237.71 Clause #9155 (by backward demodulation #[9149, 1417]): Or (Eq True False) (Eq (borderson c_georegion_l4_x27_y64 c_georegion_l4_x27_y65) True) % 237.53/237.71 Clause #13972 (by clausification #[9155]): Eq (borderson c_georegion_l4_x27_y64 c_georegion_l4_x27_y65) True % 237.53/237.71 Clause #13975 (by superposition #[13972, 6479]): Or (Eq True False) (Eq (borderson c_georegion_l4_x27_y65 c_georegion_l4_x27_y64) True) % 237.53/237.71 Clause #14051 (by clausification #[13975]): Eq (borderson c_georegion_l4_x27_y65 c_georegion_l4_x27_y64) True % 237.53/237.71 Clause #14052 (by superposition #[14051, 9150]): Eq True False % 237.53/237.71 Clause #14058 (by clausification #[14052]): False % 237.53/237.71 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------