%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR047+2 : TPTP v9.2.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n012.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 07:46:11 PM UTC 2025 % Result : Theorem 222.21s 222.41s % Output : Proof 222.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : CSR047+2 : TPTP v9.2.0. Released v3.4.0. % 0.06/0.13 % Command : duper %s % 0.14/0.34 % Computer : n012.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 20:34:38 EDT 2025 % 0.14/0.34 % CPUTime : % 222.21/222.41 SZS status Theorem for theBenchmark.p % 222.21/222.41 SZS output start Proof for theBenchmark.p % 222.21/222.41 Clause #382 (by assumption #[]): Eq (mtvisible c_tptpgeo_member4_mt → borderson c_georegion_l4_x36_y50 c_georegion_l4_x37_y50) True % 222.21/222.41 Clause #892 (by assumption #[]): Eq (∀ (X Y : Iota), borderson X Y → borderson Y X) True % 222.21/222.41 Clause #1103 (by assumption #[]): Eq (Not (mtvisible c_tptpgeo_member4_mt → borderson c_georegion_l4_x37_y50 c_georegion_l4_x36_y50)) True % 222.21/222.41 Clause #1216 (by clausification #[382]): Or (Eq (mtvisible c_tptpgeo_member4_mt) False) (Eq (borderson c_georegion_l4_x36_y50 c_georegion_l4_x37_y50) True) % 222.21/222.41 Clause #6477 (by clausification #[892]): ∀ (a : Iota), Eq (∀ (Y : Iota), borderson a Y → borderson Y a) True % 222.21/222.41 Clause #6478 (by clausification #[6477]): ∀ (a a_1 : Iota), Eq (borderson a a_1 → borderson a_1 a) True % 222.21/222.41 Clause #6479 (by clausification #[6478]): ∀ (a a_1 : Iota), Or (Eq (borderson a a_1) False) (Eq (borderson a_1 a) True) % 222.21/222.41 Clause #9147 (by clausification #[1103]): Eq (mtvisible c_tptpgeo_member4_mt → borderson c_georegion_l4_x37_y50 c_georegion_l4_x36_y50) False % 222.21/222.41 Clause #9148 (by clausification #[9147]): Eq (mtvisible c_tptpgeo_member4_mt) True % 222.21/222.41 Clause #9149 (by clausification #[9147]): Eq (borderson c_georegion_l4_x37_y50 c_georegion_l4_x36_y50) False % 222.21/222.41 Clause #9150 (by backward demodulation #[9148, 1216]): Or (Eq True False) (Eq (borderson c_georegion_l4_x36_y50 c_georegion_l4_x37_y50) True) % 222.21/222.41 Clause #13909 (by clausification #[9150]): Eq (borderson c_georegion_l4_x36_y50 c_georegion_l4_x37_y50) True % 222.21/222.41 Clause #13912 (by superposition #[13909, 6479]): Or (Eq True False) (Eq (borderson c_georegion_l4_x37_y50 c_georegion_l4_x36_y50) True) % 222.21/222.41 Clause #13968 (by clausification #[13912]): Eq (borderson c_georegion_l4_x37_y50 c_georegion_l4_x36_y50) True % 222.21/222.41 Clause #13969 (by superposition #[13968, 9149]): Eq True False % 222.21/222.41 Clause #13970 (by clausification #[13969]): False % 222.21/222.41 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------