TSTP Solution File: GEO253+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO253+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 : Wed Aug 30 22:55:57 EDT 2023
% Result : Theorem 6.54s 6.79s
% Output : Proof 6.54s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO253+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.08/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 19:50:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 6.54/6.79 SZS status Theorem for theBenchmark.p
% 6.54/6.79 SZS output start Proof for theBenchmark.p
% 6.54/6.79 Clause #0 (by assumption #[]): Eq (∀ (A L : Iota), Iff (apart_point_and_line A L) (Or (left_apart_point A L) (left_apart_point A (reverse_line L))))
% 6.54/6.79 True
% 6.54/6.79 Clause #14 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 6.54/6.79 Clause #31 (by assumption #[]): Eq
% 6.54/6.79 (Not
% 6.54/6.79 (∀ (A B L : Iota),
% 6.54/6.79 And (apart_point_and_line A L) (Not (apart_point_and_line B (parallel_through_point L A))) →
% 6.54/6.79 apart_point_and_line B L))
% 6.54/6.79 True
% 6.54/6.79 Clause #42 (by clausification #[0]): ∀ (a : Iota),
% 6.54/6.79 Eq (∀ (L : Iota), Iff (apart_point_and_line a L) (Or (left_apart_point a L) (left_apart_point a (reverse_line L))))
% 6.54/6.79 True
% 6.54/6.79 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota),
% 6.54/6.79 Eq (Iff (apart_point_and_line a a_1) (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True
% 6.54/6.79 Clause #45 (by clausification #[43]): ∀ (a a_1 : Iota),
% 6.54/6.79 Or (Eq (apart_point_and_line a a_1) False)
% 6.54/6.79 (Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) True)
% 6.54/6.79 Clause #63 (by clausification #[31]): Eq
% 6.54/6.79 (∀ (A B L : Iota),
% 6.54/6.79 And (apart_point_and_line A L) (Not (apart_point_and_line B (parallel_through_point L A))) →
% 6.54/6.79 apart_point_and_line B L)
% 6.54/6.79 False
% 6.54/6.79 Clause #64 (by clausification #[63]): ∀ (a : Iota),
% 6.54/6.79 Eq
% 6.54/6.79 (Not
% 6.54/6.79 (∀ (B L : Iota),
% 6.54/6.79 And (apart_point_and_line (skS.0 0 a) L) (Not (apart_point_and_line B (parallel_through_point L (skS.0 0 a)))) →
% 6.54/6.79 apart_point_and_line B L))
% 6.54/6.79 True
% 6.54/6.79 Clause #65 (by clausification #[64]): ∀ (a : Iota),
% 6.54/6.79 Eq
% 6.54/6.79 (∀ (B L : Iota),
% 6.54/6.79 And (apart_point_and_line (skS.0 0 a) L) (Not (apart_point_and_line B (parallel_through_point L (skS.0 0 a)))) →
% 6.54/6.79 apart_point_and_line B L)
% 6.54/6.79 False
% 6.54/6.79 Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota),
% 6.54/6.79 Eq
% 6.54/6.79 (Not
% 6.54/6.79 (∀ (L : Iota),
% 6.54/6.79 And (apart_point_and_line (skS.0 0 a) L)
% 6.54/6.79 (Not (apart_point_and_line (skS.0 1 a a_1) (parallel_through_point L (skS.0 0 a)))) →
% 6.54/6.79 apart_point_and_line (skS.0 1 a a_1) L))
% 6.54/6.79 True
% 6.54/6.79 Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota),
% 6.54/6.79 Eq
% 6.54/6.79 (∀ (L : Iota),
% 6.54/6.79 And (apart_point_and_line (skS.0 0 a) L)
% 6.54/6.79 (Not (apart_point_and_line (skS.0 1 a a_1) (parallel_through_point L (skS.0 0 a)))) →
% 6.54/6.79 apart_point_and_line (skS.0 1 a a_1) L)
% 6.54/6.79 False
% 6.54/6.79 Clause #68 (by clausification #[67]): ∀ (a a_1 a_2 : Iota),
% 6.54/6.79 Eq
% 6.54/6.79 (Not
% 6.54/6.79 (And (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 6.54/6.79 (Not (apart_point_and_line (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a)))) →
% 6.54/6.79 apart_point_and_line (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 6.54/6.79 True
% 6.54/6.79 Clause #69 (by clausification #[68]): ∀ (a a_1 a_2 : Iota),
% 6.54/6.79 Eq
% 6.54/6.79 (And (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 6.54/6.79 (Not (apart_point_and_line (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a)))) →
% 6.54/6.79 apart_point_and_line (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))
% 6.54/6.79 False
% 6.54/6.79 Clause #70 (by clausification #[69]): ∀ (a a_1 a_2 : Iota),
% 6.54/6.79 Eq
% 6.54/6.79 (And (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 6.54/6.79 (Not (apart_point_and_line (skS.0 1 a a_1) (parallel_through_point (skS.0 2 a a_1 a_2) (skS.0 0 a)))))
% 6.54/6.79 True
% 6.54/6.79 Clause #73 (by clausification #[70]): ∀ (a a_1 a_2 : Iota), Eq (apart_point_and_line (skS.0 0 a) (skS.0 2 a a_1 a_2)) True
% 6.54/6.79 Clause #119 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (L : Iota), Not (Or (left_apart_point a L) (left_apart_point a (reverse_line L)))) True
% 6.54/6.79 Clause #120 (by clausification #[119]): ∀ (a a_1 : Iota), Eq (Not (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1)))) True
% 6.54/6.79 Clause #121 (by clausification #[120]): ∀ (a a_1 : Iota), Eq (Or (left_apart_point a a_1) (left_apart_point a (reverse_line a_1))) False
% 6.54/6.79 Clause #123 (by clausification #[121]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 6.54/6.79 Clause #182 (by clausification #[45]): ∀ (a a_1 : Iota),
% 6.54/6.79 Or (Eq (apart_point_and_line a a_1) False)
% 6.54/6.79 (Or (Eq (left_apart_point a a_1) True) (Eq (left_apart_point a (reverse_line a_1)) True))
% 6.54/6.80 Clause #183 (by forward demodulation #[182, 123]): ∀ (a a_1 : Iota),
% 6.54/6.80 Or (Eq (apart_point_and_line a a_1) False) (Or (Eq False True) (Eq (left_apart_point a (reverse_line a_1)) True))
% 6.54/6.80 Clause #184 (by clausification #[183]): ∀ (a a_1 : Iota), Or (Eq (apart_point_and_line a a_1) False) (Eq (left_apart_point a (reverse_line a_1)) True)
% 6.54/6.80 Clause #222 (by superposition #[73, 184]): ∀ (a a_1 a_2 : Iota), Or (Eq (left_apart_point (skS.0 0 a) (reverse_line (skS.0 2 a a_1 a_2))) True) (Eq False True)
% 6.54/6.80 Clause #223 (by clausification #[222]): ∀ (a a_1 a_2 : Iota), Eq (left_apart_point (skS.0 0 a) (reverse_line (skS.0 2 a a_1 a_2))) True
% 6.54/6.80 Clause #224 (by superposition #[223, 123]): Eq True False
% 6.54/6.80 Clause #246 (by clausification #[224]): False
% 6.54/6.80 SZS output end Proof for theBenchmark.p
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