%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : CSR067+1 : TPTP v9.2.0. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 3.59s 3.76s % Output : Proof 3.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : CSR067+1 : TPTP v9.2.0. Released v3.4.0. % 0.03/0.13 % Command : duper %s % 0.12/0.34 % Computer : n002.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 20:02:53 EDT 2025 % 0.12/0.34 % CPUTime : % 3.59/3.76 SZS status Theorem for theBenchmark.p % 3.59/3.76 SZS output start Proof for theBenchmark.p % 3.59/3.76 Clause #0 (by assumption #[]): Eq (mtvisible c_tptpgeo_member7_mt → borderson c_georegion_l4_x29_y75 c_georegion_l4_x29_y76) True % 3.59/3.76 Clause #22 (by assumption #[]): Eq (∀ (X Y : Iota), borderson X Y → borderson Y X) True % 3.59/3.76 Clause #24 (by assumption #[]): Eq (Not (Exists fun ARG1 => mtvisible c_tptpgeo_member7_mt → borderson ARG1 c_georegion_l4_x29_y75)) True % 3.59/3.76 Clause #25 (by clausification #[0]): Or (Eq (mtvisible c_tptpgeo_member7_mt) False) (Eq (borderson c_georegion_l4_x29_y75 c_georegion_l4_x29_y76) True) % 3.59/3.76 Clause #71 (by clausification #[22]): ∀ (a : Iota), Eq (∀ (Y : Iota), borderson a Y → borderson Y a) True % 3.59/3.76 Clause #72 (by clausification #[71]): ∀ (a a_1 : Iota), Eq (borderson a a_1 → borderson a_1 a) True % 3.59/3.76 Clause #73 (by clausification #[72]): ∀ (a a_1 : Iota), Or (Eq (borderson a a_1) False) (Eq (borderson a_1 a) True) % 3.59/3.76 Clause #107 (by clausification #[24]): Eq (Exists fun ARG1 => mtvisible c_tptpgeo_member7_mt → borderson ARG1 c_georegion_l4_x29_y75) False % 3.59/3.76 Clause #108 (by clausification #[107]): ∀ (a : Iota), Eq (mtvisible c_tptpgeo_member7_mt → borderson a c_georegion_l4_x29_y75) False % 3.59/3.76 Clause #109 (by clausification #[108]): Eq (mtvisible c_tptpgeo_member7_mt) True % 3.59/3.76 Clause #110 (by clausification #[108]): ∀ (a : Iota), Eq (borderson a c_georegion_l4_x29_y75) False % 3.59/3.76 Clause #111 (by backward demodulation #[109, 25]): Or (Eq True False) (Eq (borderson c_georegion_l4_x29_y75 c_georegion_l4_x29_y76) True) % 3.59/3.76 Clause #112 (by clausification #[111]): Eq (borderson c_georegion_l4_x29_y75 c_georegion_l4_x29_y76) True % 3.59/3.76 Clause #115 (by superposition #[112, 73]): Or (Eq True False) (Eq (borderson c_georegion_l4_x29_y76 c_georegion_l4_x29_y75) True) % 3.59/3.76 Clause #118 (by clausification #[115]): Eq (borderson c_georegion_l4_x29_y76 c_georegion_l4_x29_y75) True % 3.59/3.76 Clause #119 (by superposition #[118, 110]): Eq True False % 3.59/3.76 Clause #120 (by clausification #[119]): False % 3.59/3.76 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------