TSTP Solution File: GEO236+3 by Duper---1.0
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% File : Duper---1.0
% Problem : GEO236+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : Wed Aug 30 22:55:50 EDT 2023
% Result : Theorem 6.82s 7.05s
% Output : Proof 6.82s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO236+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : duper %s
% 0.12/0.34 % Computer : n016.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 : Wed Aug 30 00:01:46 EDT 2023
% 0.12/0.34 % CPUTime :
% 6.82/7.05 SZS status Theorem for theBenchmark.p
% 6.82/7.05 SZS output start Proof for theBenchmark.p
% 6.82/7.05 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 6.82/7.05 Clause #36 (by assumption #[]): Eq
% 6.82/7.05 (Not
% 6.82/7.05 (∀ (A L M : Iota),
% 6.82/7.05 And (left_apart_point A L) (right_apart_point A M) → Or (unequally_directed_lines L M) (distinct_lines L M)))
% 6.82/7.05 True
% 6.82/7.05 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
% 6.82/7.05 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
% 6.82/7.05 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
% 6.82/7.05 Clause #167 (by clausification #[165]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 6.82/7.05 Clause #296 (by clausification #[36]): Eq
% 6.82/7.05 (∀ (A L M : Iota),
% 6.82/7.05 And (left_apart_point A L) (right_apart_point A M) → Or (unequally_directed_lines L M) (distinct_lines L M))
% 6.82/7.05 False
% 6.82/7.05 Clause #297 (by clausification #[296]): ∀ (a : Iota),
% 6.82/7.05 Eq
% 6.82/7.05 (Not
% 6.82/7.05 (∀ (L M : Iota),
% 6.82/7.05 And (left_apart_point (skS.0 0 a) L) (right_apart_point (skS.0 0 a) M) →
% 6.82/7.05 Or (unequally_directed_lines L M) (distinct_lines L M)))
% 6.82/7.05 True
% 6.82/7.05 Clause #298 (by clausification #[297]): ∀ (a : Iota),
% 6.82/7.05 Eq
% 6.82/7.05 (∀ (L M : Iota),
% 6.82/7.05 And (left_apart_point (skS.0 0 a) L) (right_apart_point (skS.0 0 a) M) →
% 6.82/7.05 Or (unequally_directed_lines L M) (distinct_lines L M))
% 6.82/7.05 False
% 6.82/7.05 Clause #299 (by clausification #[298]): ∀ (a a_1 : Iota),
% 6.82/7.05 Eq
% 6.82/7.05 (Not
% 6.82/7.05 (∀ (M : Iota),
% 6.82/7.05 And (left_apart_point (skS.0 0 a) (skS.0 1 a a_1)) (right_apart_point (skS.0 0 a) M) →
% 6.82/7.05 Or (unequally_directed_lines (skS.0 1 a a_1) M) (distinct_lines (skS.0 1 a a_1) M)))
% 6.82/7.05 True
% 6.82/7.05 Clause #300 (by clausification #[299]): ∀ (a a_1 : Iota),
% 6.82/7.05 Eq
% 6.82/7.05 (∀ (M : Iota),
% 6.82/7.05 And (left_apart_point (skS.0 0 a) (skS.0 1 a a_1)) (right_apart_point (skS.0 0 a) M) →
% 6.82/7.05 Or (unequally_directed_lines (skS.0 1 a a_1) M) (distinct_lines (skS.0 1 a a_1) M))
% 6.82/7.05 False
% 6.82/7.05 Clause #301 (by clausification #[300]): ∀ (a a_1 a_2 : Iota),
% 6.82/7.05 Eq
% 6.82/7.05 (Not
% 6.82/7.05 (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)) →
% 6.82/7.05 Or (unequally_directed_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 6.82/7.05 (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 6.82/7.05 True
% 6.82/7.05 Clause #302 (by clausification #[301]): ∀ (a a_1 a_2 : Iota),
% 6.82/7.05 Eq
% 6.82/7.05 (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)) →
% 6.82/7.05 Or (unequally_directed_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 6.82/7.05 (distinct_lines (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 6.82/7.05 False
% 6.82/7.05 Clause #303 (by clausification #[302]): ∀ (a a_1 a_2 : Iota),
% 6.82/7.05 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
% 6.82/7.05 Clause #306 (by clausification #[303]): ∀ (a a_1 : Iota), Eq (left_apart_point (skS.0 0 a) (skS.0 1 a a_1)) True
% 6.82/7.05 Clause #1843 (by superposition #[306, 167]): Eq True False
% 6.82/7.05 Clause #1844 (by clausification #[1843]): False
% 6.82/7.05 SZS output end Proof for theBenchmark.p
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