%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR067+2 : TPTP v9.2.0. Released v3.4.0. % 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 07:46:20 PM UTC 2025 % Result : Theorem 226.88s 227.05s % Output : Proof 226.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.14 % Problem : CSR067+2 : TPTP v9.2.0. Released v3.4.0. % 0.09/0.16 % Command : duper %s % 0.15/0.38 % Computer : n007.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 20:32:53 EDT 2025 % 0.15/0.38 % CPUTime : % 226.88/227.05 SZS status Theorem for theBenchmark.p % 226.88/227.05 SZS output start Proof for theBenchmark.p % 226.88/227.05 Clause #484 (by assumption #[]): Eq (mtvisible c_tptpgeo_member7_mt → borderson c_georegion_l4_x29_y75 c_georegion_l4_x29_y76) True % 226.88/227.05 Clause #892 (by assumption #[]): Eq (∀ (X Y : Iota), borderson X Y → borderson Y X) True % 226.88/227.05 Clause #1103 (by assumption #[]): Eq (Not (Exists fun ARG1 => mtvisible c_tptpgeo_member7_mt → borderson ARG1 c_georegion_l4_x29_y75)) True % 226.88/227.05 Clause #1182 (by clausification #[484]): Or (Eq (mtvisible c_tptpgeo_member7_mt) False) (Eq (borderson c_georegion_l4_x29_y75 c_georegion_l4_x29_y76) True) % 226.88/227.05 Clause #6477 (by clausification #[892]): ∀ (a : Iota), Eq (∀ (Y : Iota), borderson a Y → borderson Y a) True % 226.88/227.05 Clause #6478 (by clausification #[6477]): ∀ (a a_1 : Iota), Eq (borderson a a_1 → borderson a_1 a) True % 226.88/227.05 Clause #6479 (by clausification #[6478]): ∀ (a a_1 : Iota), Or (Eq (borderson a a_1) False) (Eq (borderson a_1 a) True) % 226.88/227.05 Clause #9147 (by clausification #[1103]): Eq (Exists fun ARG1 => mtvisible c_tptpgeo_member7_mt → borderson ARG1 c_georegion_l4_x29_y75) False % 226.88/227.05 Clause #9148 (by clausification #[9147]): ∀ (a : Iota), Eq (mtvisible c_tptpgeo_member7_mt → borderson a c_georegion_l4_x29_y75) False % 226.88/227.05 Clause #9149 (by clausification #[9148]): Eq (mtvisible c_tptpgeo_member7_mt) True % 226.88/227.05 Clause #9150 (by clausification #[9148]): ∀ (a : Iota), Eq (borderson a c_georegion_l4_x29_y75) False % 226.88/227.05 Clause #9151 (by backward demodulation #[9149, 1182]): Or (Eq True False) (Eq (borderson c_georegion_l4_x29_y75 c_georegion_l4_x29_y76) True) % 226.88/227.05 Clause #13781 (by clausification #[9151]): Eq (borderson c_georegion_l4_x29_y75 c_georegion_l4_x29_y76) True % 226.88/227.05 Clause #13784 (by superposition #[13781, 6479]): Or (Eq True False) (Eq (borderson c_georegion_l4_x29_y76 c_georegion_l4_x29_y75) True) % 226.88/227.05 Clause #13905 (by clausification #[13784]): Eq (borderson c_georegion_l4_x29_y76 c_georegion_l4_x29_y75) True % 226.88/227.05 Clause #13906 (by superposition #[13905, 9150]): Eq True False % 226.88/227.05 Clause #13912 (by clausification #[13906]): False % 226.88/227.05 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------