%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : GEO216+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n027.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 22:55:42 EDT 2023

% Result   : Theorem 3.92s 4.09s
% Output   : Proof 3.92s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GEO216+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14  % Command    : duper %s
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 29 21:38:08 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 3.92/4.09  SZS status Theorem for theBenchmark.p
% 3.92/4.09  SZS output start Proof for theBenchmark.p
% 3.92/4.09  Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Not (convergent_lines X X)) True
% 3.92/4.09  Clause #12 (by assumption #[]): Eq (∀ (L M : Iota), Not (And (Not (convergent_lines L M)) (Not (unorthogonal_lines L M)))) True
% 3.92/4.09  Clause #15 (by assumption #[]): Eq (Not (∀ (L : Iota), Not (Not (unorthogonal_lines L L)))) True
% 3.92/4.09  Clause #16 (by clausification #[2]): ∀ (a : Iota), Eq (Not (convergent_lines a a)) True
% 3.92/4.09  Clause #17 (by clausification #[16]): ∀ (a : Iota), Eq (convergent_lines a a) False
% 3.92/4.09  Clause #25 (by clausification #[15]): Eq (∀ (L : Iota), Not (Not (unorthogonal_lines L L))) False
% 3.92/4.09  Clause #26 (by clausification #[25]): ∀ (a : Iota), Eq (Not (Not (Not (unorthogonal_lines (skS.0 0 a) (skS.0 0 a))))) True
% 3.92/4.09  Clause #27 (by clausification #[26]): ∀ (a : Iota), Eq (Not (Not (unorthogonal_lines (skS.0 0 a) (skS.0 0 a)))) False
% 3.92/4.09  Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (Not (unorthogonal_lines (skS.0 0 a) (skS.0 0 a))) True
% 3.92/4.09  Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (unorthogonal_lines (skS.0 0 a) (skS.0 0 a)) False
% 3.92/4.09  Clause #70 (by clausification #[12]): ∀ (a : Iota), Eq (∀ (M : Iota), Not (And (Not (convergent_lines a M)) (Not (unorthogonal_lines a M)))) True
% 3.92/4.09  Clause #71 (by clausification #[70]): ∀ (a a_1 : Iota), Eq (Not (And (Not (convergent_lines a a_1)) (Not (unorthogonal_lines a a_1)))) True
% 3.92/4.09  Clause #72 (by clausification #[71]): ∀ (a a_1 : Iota), Eq (And (Not (convergent_lines a a_1)) (Not (unorthogonal_lines a a_1))) False
% 3.92/4.09  Clause #73 (by clausification #[72]): ∀ (a a_1 : Iota), Or (Eq (Not (convergent_lines a a_1)) False) (Eq (Not (unorthogonal_lines a a_1)) False)
% 3.92/4.09  Clause #74 (by clausification #[73]): ∀ (a a_1 : Iota), Or (Eq (Not (unorthogonal_lines a a_1)) False) (Eq (convergent_lines a a_1) True)
% 3.92/4.09  Clause #75 (by clausification #[74]): ∀ (a a_1 : Iota), Or (Eq (convergent_lines a a_1) True) (Eq (unorthogonal_lines a a_1) True)
% 3.92/4.09  Clause #76 (by superposition #[75, 29]): ∀ (a : Iota), Or (Eq (convergent_lines (skS.0 0 a) (skS.0 0 a)) True) (Eq True False)
% 3.92/4.09  Clause #107 (by clausification #[76]): ∀ (a : Iota), Eq (convergent_lines (skS.0 0 a) (skS.0 0 a)) True
% 3.92/4.09  Clause #108 (by superposition #[107, 17]): Eq True False
% 3.92/4.09  Clause #113 (by clausification #[108]): False
% 3.92/4.09  SZS output end Proof for theBenchmark.p
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