%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : GEO236+3 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n029.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 07:48:19 PM UTC 2025 % Result : Theorem 12.73s 12.93s % Output : Proof 12.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : GEO236+3 : TPTP v9.2.0. Released v4.0.0. % 0.10/0.13 % Command : duper %s % 0.12/0.33 % Computer : n029.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Fri Oct 3 11:34:38 EDT 2025 % 0.12/0.34 % CPUTime : % 12.73/12.93 SZS status Theorem for theBenchmark.p % 12.73/12.93 SZS output start Proof for theBenchmark.p % 12.73/12.93 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True % 12.73/12.93 Clause #36 (by assumption #[]): Eq % 12.73/12.93 (Not % 12.73/12.93 (∀ (A L M : Iota), % 12.73/12.93 And (left_apart_point A L) (right_apart_point A M) → Or (unequally_directed_lines L M) (distinct_lines L M))) % 12.73/12.93 True % 12.73/12.93 Clause #163 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True % 12.73/12.93 Clause #164 (by clausification #[163]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True % 12.73/12.93 Clause #165 (by clausification #[164]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False % 12.73/12.93 Clause #167 (by clausification #[165]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False % 12.73/12.93 Clause #296 (by clausification #[36]): Eq % 12.73/12.93 (∀ (A L M : Iota), % 12.73/12.93 And (left_apart_point A L) (right_apart_point A M) → Or (unequally_directed_lines L M) (distinct_lines L M)) % 12.73/12.93 False % 12.73/12.93 Clause #297 (by clausification #[296]): ∀ (a : Iota), % 12.73/12.93 Eq % 12.73/12.93 (Not % 12.73/12.93 (∀ (L M : Iota), % 12.73/12.93 And (left_apart_point (skS.0 0 a) L) (right_apart_point (skS.0 0 a) M) → % 12.73/12.93 Or (unequally_directed_lines L M) (distinct_lines L M))) % 12.73/12.93 True % 12.73/12.93 Clause #298 (by clausification #[297]): ∀ (a : Iota), % 12.73/12.93 Eq % 12.73/12.93 (∀ (L M : Iota), % 12.73/12.93 And (left_apart_point (skS.0 0 a) L) (right_apart_point (skS.0 0 a) M) → % 12.73/12.93 Or (unequally_directed_lines L M) (distinct_lines L M)) % 12.73/12.93 False % 12.73/12.93 Clause #299 (by clausification #[298]): ∀ (a a_1 : Iota), % 12.73/12.93 Eq % 12.73/12.93 (Not % 12.73/12.93 (∀ (M : Iota), % 12.73/12.93 And (left_apart_point (skS.0 0 a) (skS.0 1 a a_1)) (right_apart_point (skS.0 0 a) M) → % 12.73/12.93 Or (unequally_directed_lines (skS.0 1 a a_1) M) (distinct_lines (skS.0 1 a a_1) M))) % 12.73/12.93 True % 12.73/12.93 Clause #300 (by clausification #[299]): ∀ (a a_1 : Iota), % 12.73/12.93 Eq % 12.73/12.93 (∀ (M : Iota), % 12.73/12.93 And (left_apart_point (skS.0 0 a) (skS.0 1 a a_1)) (right_apart_point (skS.0 0 a) M) → % 12.73/12.93 Or (unequally_directed_lines (skS.0 1 a a_1) M) (distinct_lines (skS.0 1 a a_1) M)) % 12.73/12.93 False % 12.73/12.93 Clause #301 (by clausification #[300]): ∀ (a a_1 a_2 : Iota), % 12.73/12.93 Eq % 12.73/12.93 (Not % 12.73/12.93 (And (left_apart_point (skS.0 0 a) (skS.0 1 a a_1)) (right_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) → % 12.73/12.93 Or (unequally_directed_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 12.73/12.93 (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))) % 12.73/12.93 True % 12.73/12.93 Clause #302 (by clausification #[301]): ∀ (a a_1 a_2 : Iota), % 12.73/12.93 Eq % 12.73/12.93 (And (left_apart_point (skS.0 0 a) (skS.0 1 a a_1)) (right_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2)) → % 12.73/12.93 Or (unequally_directed_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) % 12.73/12.93 (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) % 12.73/12.93 False % 12.73/12.93 Clause #303 (by clausification #[302]): ∀ (a a_1 a_2 : Iota), % 12.73/12.93 Eq (And (left_apart_point (skS.0 0 a) (skS.0 1 a a_1)) (right_apart_point (skS.0 0 a) (skS.0 2 a a_1 a_2))) True % 12.73/12.93 Clause #306 (by clausification #[303]): ∀ (a a_1 : Iota), Eq (left_apart_point (skS.0 0 a) (skS.0 1 a a_1)) True % 12.73/12.93 Clause #1843 (by superposition #[306, 167]): Eq True False % 12.73/12.93 Clause #1844 (by clausification #[1843]): False % 12.73/12.93 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------