TSTP Solution File: GEO247+3 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO247+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 22:55:54 EDT 2023
% Result : Theorem 3.84s 4.03s
% Output : Proof 3.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO247+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 20:02:33 EDT 2023
% 0.14/0.34 % CPUTime :
% 3.84/4.03 SZS status Theorem for theBenchmark.p
% 3.84/4.03 SZS output start Proof for theBenchmark.p
% 3.84/4.03 Clause #19 (by assumption #[]): Eq (∀ (A L : Iota), Not (Or (left_apart_point A L) (left_apart_point A (reverse_line L)))) True
% 3.84/4.03 Clause #36 (by assumption #[]): Eq
% 3.84/4.03 (Not
% 3.84/4.03 (∀ (A B C D L M : Iota),
% 3.84/4.03 And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And (And (And (left_apart_point A L) (left_apart_point A M)) (right_apart_point B L))
% 3.84/4.03 (right_apart_point B M))
% 3.84/4.03 (left_apart_point C L))
% 3.84/4.03 (right_apart_point C M))
% 3.84/4.03 (right_apart_point D L))
% 3.84/4.03 (left_apart_point D M) →
% 3.84/4.03 convergent_lines L M))
% 3.84/4.03 True
% 3.84/4.03 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
% 3.84/4.03 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
% 3.84/4.03 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
% 3.84/4.03 Clause #167 (by clausification #[165]): ∀ (a a_1 : Iota), Eq (left_apart_point a a_1) False
% 3.84/4.03 Clause #258 (by clausification #[36]): Eq
% 3.84/4.03 (∀ (A B C D L M : Iota),
% 3.84/4.03 And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And (And (And (left_apart_point A L) (left_apart_point A M)) (right_apart_point B L))
% 3.84/4.03 (right_apart_point B M))
% 3.84/4.03 (left_apart_point C L))
% 3.84/4.03 (right_apart_point C M))
% 3.84/4.03 (right_apart_point D L))
% 3.84/4.03 (left_apart_point D M) →
% 3.84/4.03 convergent_lines L M)
% 3.84/4.03 False
% 3.84/4.03 Clause #259 (by clausification #[258]): ∀ (a : Iota),
% 3.84/4.03 Eq
% 3.84/4.03 (Not
% 3.84/4.03 (∀ (B C D L M : Iota),
% 3.84/4.03 And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M))
% 3.84/4.03 (right_apart_point B L))
% 3.84/4.03 (right_apart_point B M))
% 3.84/4.03 (left_apart_point C L))
% 3.84/4.03 (right_apart_point C M))
% 3.84/4.03 (right_apart_point D L))
% 3.84/4.03 (left_apart_point D M) →
% 3.84/4.03 convergent_lines L M))
% 3.84/4.03 True
% 3.84/4.03 Clause #260 (by clausification #[259]): ∀ (a : Iota),
% 3.84/4.03 Eq
% 3.84/4.03 (∀ (B C D L M : Iota),
% 3.84/4.03 And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M)) (right_apart_point B L))
% 3.84/4.03 (right_apart_point B M))
% 3.84/4.03 (left_apart_point C L))
% 3.84/4.03 (right_apart_point C M))
% 3.84/4.03 (right_apart_point D L))
% 3.84/4.03 (left_apart_point D M) →
% 3.84/4.03 convergent_lines L M)
% 3.84/4.03 False
% 3.84/4.03 Clause #261 (by clausification #[260]): ∀ (a a_1 : Iota),
% 3.84/4.03 Eq
% 3.84/4.03 (Not
% 3.84/4.03 (∀ (C D L M : Iota),
% 3.84/4.03 And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M))
% 3.84/4.03 (right_apart_point (skS.0 1 a a_1) L))
% 3.84/4.03 (right_apart_point (skS.0 1 a a_1) M))
% 3.84/4.03 (left_apart_point C L))
% 3.84/4.03 (right_apart_point C M))
% 3.84/4.03 (right_apart_point D L))
% 3.84/4.03 (left_apart_point D M) →
% 3.84/4.03 convergent_lines L M))
% 3.84/4.03 True
% 3.84/4.03 Clause #262 (by clausification #[261]): ∀ (a a_1 : Iota),
% 3.84/4.03 Eq
% 3.84/4.03 (∀ (C D L M : Iota),
% 3.84/4.03 And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And
% 3.84/4.03 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M))
% 3.84/4.03 (right_apart_point (skS.0 1 a a_1) L))
% 3.84/4.03 (right_apart_point (skS.0 1 a a_1) M))
% 3.84/4.03 (left_apart_point C L))
% 3.84/4.03 (right_apart_point C M))
% 3.84/4.03 (right_apart_point D L))
% 3.84/4.03 (left_apart_point D M) →
% 3.84/4.03 convergent_lines L M)
% 3.84/4.03 False
% 3.84/4.03 Clause #263 (by clausification #[262]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.03 Eq
% 3.84/4.03 (Not
% 3.84/4.03 (∀ (D L M : Iota),
% 3.84/4.03 And
% 3.84/4.03 (And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M))
% 3.84/4.05 (right_apart_point (skS.0 1 a a_1) L))
% 3.84/4.05 (right_apart_point (skS.0 1 a a_1) M))
% 3.84/4.05 (left_apart_point (skS.0 2 a a_1 a_2) L))
% 3.84/4.05 (right_apart_point (skS.0 2 a a_1 a_2) M))
% 3.84/4.05 (right_apart_point D L))
% 3.84/4.05 (left_apart_point D M) →
% 3.84/4.05 convergent_lines L M))
% 3.84/4.05 True
% 3.84/4.05 Clause #264 (by clausification #[263]): ∀ (a a_1 a_2 : Iota),
% 3.84/4.05 Eq
% 3.84/4.05 (∀ (D L M : Iota),
% 3.84/4.05 And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M))
% 3.84/4.05 (right_apart_point (skS.0 1 a a_1) L))
% 3.84/4.05 (right_apart_point (skS.0 1 a a_1) M))
% 3.84/4.05 (left_apart_point (skS.0 2 a a_1 a_2) L))
% 3.84/4.05 (right_apart_point (skS.0 2 a a_1 a_2) M))
% 3.84/4.05 (right_apart_point D L))
% 3.84/4.05 (left_apart_point D M) →
% 3.84/4.05 convergent_lines L M)
% 3.84/4.05 False
% 3.84/4.05 Clause #265 (by clausification #[264]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.05 Eq
% 3.84/4.05 (Not
% 3.84/4.05 (∀ (L M : Iota),
% 3.84/4.05 And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M))
% 3.84/4.05 (right_apart_point (skS.0 1 a a_1) L))
% 3.84/4.05 (right_apart_point (skS.0 1 a a_1) M))
% 3.84/4.05 (left_apart_point (skS.0 2 a a_1 a_2) L))
% 3.84/4.05 (right_apart_point (skS.0 2 a a_1 a_2) M))
% 3.84/4.05 (right_apart_point (skS.0 3 a a_1 a_2 a_3) L))
% 3.84/4.05 (left_apart_point (skS.0 3 a a_1 a_2 a_3) M) →
% 3.84/4.05 convergent_lines L M))
% 3.84/4.05 True
% 3.84/4.05 Clause #266 (by clausification #[265]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.84/4.05 Eq
% 3.84/4.05 (∀ (L M : Iota),
% 3.84/4.05 And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And (And (left_apart_point (skS.0 0 a) L) (left_apart_point (skS.0 0 a) M))
% 3.84/4.05 (right_apart_point (skS.0 1 a a_1) L))
% 3.84/4.05 (right_apart_point (skS.0 1 a a_1) M))
% 3.84/4.05 (left_apart_point (skS.0 2 a a_1 a_2) L))
% 3.84/4.05 (right_apart_point (skS.0 2 a a_1 a_2) M))
% 3.84/4.05 (right_apart_point (skS.0 3 a a_1 a_2 a_3) L))
% 3.84/4.05 (left_apart_point (skS.0 3 a a_1 a_2 a_3) M) →
% 3.84/4.05 convergent_lines L M)
% 3.84/4.05 False
% 3.84/4.05 Clause #267 (by clausification #[266]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.84/4.05 Eq
% 3.84/4.05 (Not
% 3.84/4.05 (∀ (M : Iota),
% 3.84/4.05 And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And (left_apart_point (skS.0 0 a) (skS.0 4 a a_1 a_2 a_3 a_4)) (left_apart_point (skS.0 0 a) M))
% 3.84/4.05 (right_apart_point (skS.0 1 a a_1) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.84/4.05 (right_apart_point (skS.0 1 a a_1) M))
% 3.84/4.05 (left_apart_point (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.84/4.05 (right_apart_point (skS.0 2 a a_1 a_2) M))
% 3.84/4.05 (right_apart_point (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.84/4.05 (left_apart_point (skS.0 3 a a_1 a_2 a_3) M) →
% 3.84/4.05 convergent_lines (skS.0 4 a a_1 a_2 a_3 a_4) M))
% 3.84/4.05 True
% 3.84/4.05 Clause #268 (by clausification #[267]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 3.84/4.05 Eq
% 3.84/4.05 (∀ (M : Iota),
% 3.84/4.05 And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And
% 3.84/4.05 (And (And (left_apart_point (skS.0 0 a) (skS.0 4 a a_1 a_2 a_3 a_4)) (left_apart_point (skS.0 0 a) M))
% 3.84/4.05 (right_apart_point (skS.0 1 a a_1) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.84/4.05 (right_apart_point (skS.0 1 a a_1) M))
% 3.84/4.05 (left_apart_point (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.84/4.05 (right_apart_point (skS.0 2 a a_1 a_2) M))
% 3.84/4.05 (right_apart_point (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.84/4.05 (left_apart_point (skS.0 3 a a_1 a_2 a_3) M) →
% 3.84/4.05 convergent_lines (skS.0 4 a a_1 a_2 a_3 a_4) M)
% 3.84/4.06 False
% 3.84/4.06 Clause #269 (by clausification #[268]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 3.84/4.06 Eq
% 3.84/4.06 (Not
% 3.84/4.06 (And
% 3.84/4.06 (And
% 3.84/4.06 (And
% 3.84/4.06 (And
% 3.84/4.06 (And
% 3.84/4.06 (And
% 3.84/4.06 (And (left_apart_point (skS.0 0 a) (skS.0 4 a a_1 a_2 a_3 a_4))
% 3.84/4.06 (left_apart_point (skS.0 0 a) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.84/4.06 (right_apart_point (skS.0 1 a a_1) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.84/4.06 (right_apart_point (skS.0 1 a a_1) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.84/4.06 (left_apart_point (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.84/4.06 (right_apart_point (skS.0 2 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.84/4.06 (right_apart_point (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.84/4.06 (left_apart_point (skS.0 3 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)) →
% 3.84/4.06 convergent_lines (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.84/4.06 True
% 3.84/4.06 Clause #270 (by clausification #[269]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 3.84/4.06 Eq
% 3.84/4.06 (And
% 3.84/4.06 (And
% 3.84/4.06 (And
% 3.84/4.06 (And
% 3.84/4.06 (And
% 3.84/4.06 (And
% 3.84/4.06 (And (left_apart_point (skS.0 0 a) (skS.0 4 a a_1 a_2 a_3 a_4))
% 3.84/4.06 (left_apart_point (skS.0 0 a) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.84/4.06 (right_apart_point (skS.0 1 a a_1) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.84/4.06 (right_apart_point (skS.0 1 a a_1) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.84/4.06 (left_apart_point (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.84/4.06 (right_apart_point (skS.0 2 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.84/4.06 (right_apart_point (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.84/4.06 (left_apart_point (skS.0 3 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)) →
% 3.84/4.06 convergent_lines (skS.0 4 a a_1 a_2 a_3 a_4) (skS.0 5 a a_1 a_2 a_3 a_4 a_5))
% 3.84/4.06 False
% 3.84/4.06 Clause #271 (by clausification #[270]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 3.84/4.06 Eq
% 3.84/4.06 (And
% 3.84/4.06 (And
% 3.84/4.06 (And
% 3.84/4.06 (And
% 3.84/4.06 (And
% 3.84/4.06 (And
% 3.84/4.06 (And (left_apart_point (skS.0 0 a) (skS.0 4 a a_1 a_2 a_3 a_4))
% 3.84/4.06 (left_apart_point (skS.0 0 a) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.84/4.06 (right_apart_point (skS.0 1 a a_1) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.84/4.06 (right_apart_point (skS.0 1 a a_1) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.84/4.06 (left_apart_point (skS.0 2 a a_1 a_2) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.84/4.06 (right_apart_point (skS.0 2 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.84/4.06 (right_apart_point (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 3.84/4.06 (left_apart_point (skS.0 3 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)))
% 3.84/4.06 True
% 3.84/4.06 Clause #273 (by clausification #[271]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (left_apart_point (skS.0 3 a a_1 a_2 a_3) (skS.0 5 a a_1 a_2 a_3 a_4 a_5)) True
% 3.84/4.06 Clause #275 (by superposition #[273, 167]): Eq True False
% 3.84/4.06 Clause #276 (by clausification #[275]): False
% 3.84/4.06 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------