TSTP Solution File: GEO227+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : GEO227+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n031.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 22:55:47 EDT 2023
% Result : Theorem 39.92s 40.09s
% Output : Proof 39.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO227+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.12/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n031.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 : Wed Aug 30 00:34:41 EDT 2023
% 0.14/0.34 % CPUTime :
% 39.92/40.09 SZS status Theorem for theBenchmark.p
% 39.92/40.09 SZS output start Proof for theBenchmark.p
% 39.92/40.09 Clause #12 (by assumption #[]): Eq
% 39.92/40.09 (∀ (L M : Iota),
% 39.92/40.09 And (line L) (line M) → Or (unequally_directed_lines L M) (unequally_directed_lines L (reverse_line M)))
% 39.92/40.09 True
% 39.92/40.09 Clause #31 (by assumption #[]): Eq
% 39.92/40.09 (Not
% 39.92/40.09 (∀ (L M : Iota),
% 39.92/40.09 And (line L) (line M) →
% 39.92/40.09 Not (And (Not (unequally_directed_lines L M)) (Not (unequally_directed_lines L (reverse_line M))))))
% 39.92/40.09 True
% 39.92/40.09 Clause #104 (by clausification #[12]): ∀ (a : Iota),
% 39.92/40.09 Eq
% 39.92/40.09 (∀ (M : Iota),
% 39.92/40.09 And (line a) (line M) → Or (unequally_directed_lines a M) (unequally_directed_lines a (reverse_line M)))
% 39.92/40.09 True
% 39.92/40.09 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota),
% 39.92/40.09 Eq (And (line a) (line a_1) → Or (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1)))
% 39.92/40.09 True
% 39.92/40.09 Clause #106 (by clausification #[105]): ∀ (a a_1 : Iota),
% 39.92/40.09 Or (Eq (And (line a) (line a_1)) False)
% 39.92/40.09 (Eq (Or (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) True)
% 39.92/40.09 Clause #107 (by clausification #[106]): ∀ (a a_1 : Iota),
% 39.92/40.09 Or (Eq (Or (unequally_directed_lines a a_1) (unequally_directed_lines a (reverse_line a_1))) True)
% 39.92/40.09 (Or (Eq (line a) False) (Eq (line a_1) False))
% 39.92/40.09 Clause #108 (by clausification #[107]): ∀ (a a_1 : Iota),
% 39.92/40.09 Or (Eq (line a) False)
% 39.92/40.09 (Or (Eq (line a_1) False)
% 39.92/40.09 (Or (Eq (unequally_directed_lines a a_1) True) (Eq (unequally_directed_lines a (reverse_line a_1)) True)))
% 39.92/40.09 Clause #195 (by clausification #[31]): Eq
% 39.92/40.09 (∀ (L M : Iota),
% 39.92/40.09 And (line L) (line M) →
% 39.92/40.09 Not (And (Not (unequally_directed_lines L M)) (Not (unequally_directed_lines L (reverse_line M)))))
% 39.92/40.09 False
% 39.92/40.09 Clause #196 (by clausification #[195]): ∀ (a : Iota),
% 39.92/40.09 Eq
% 39.92/40.09 (Not
% 39.92/40.09 (∀ (M : Iota),
% 39.92/40.09 And (line (skS.0 0 a)) (line M) →
% 39.92/40.09 Not
% 39.92/40.09 (And (Not (unequally_directed_lines (skS.0 0 a) M))
% 39.92/40.09 (Not (unequally_directed_lines (skS.0 0 a) (reverse_line M))))))
% 39.92/40.09 True
% 39.92/40.09 Clause #197 (by clausification #[196]): ∀ (a : Iota),
% 39.92/40.09 Eq
% 39.92/40.09 (∀ (M : Iota),
% 39.92/40.09 And (line (skS.0 0 a)) (line M) →
% 39.92/40.09 Not
% 39.92/40.09 (And (Not (unequally_directed_lines (skS.0 0 a) M))
% 39.92/40.09 (Not (unequally_directed_lines (skS.0 0 a) (reverse_line M)))))
% 39.92/40.09 False
% 39.92/40.09 Clause #198 (by clausification #[197]): ∀ (a a_1 : Iota),
% 39.92/40.09 Eq
% 39.92/40.09 (Not
% 39.92/40.09 (And (line (skS.0 0 a)) (line (skS.0 1 a a_1)) →
% 39.92/40.09 Not
% 39.92/40.09 (And (Not (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 39.92/40.09 (Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1)))))))
% 39.92/40.09 True
% 39.92/40.09 Clause #199 (by clausification #[198]): ∀ (a a_1 : Iota),
% 39.92/40.09 Eq
% 39.92/40.09 (And (line (skS.0 0 a)) (line (skS.0 1 a a_1)) →
% 39.92/40.09 Not
% 39.92/40.09 (And (Not (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 39.92/40.09 (Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))))))
% 39.92/40.09 False
% 39.92/40.09 Clause #200 (by clausification #[199]): ∀ (a a_1 : Iota), Eq (And (line (skS.0 0 a)) (line (skS.0 1 a a_1))) True
% 39.92/40.09 Clause #201 (by clausification #[199]): ∀ (a a_1 : Iota),
% 39.92/40.09 Eq
% 39.92/40.09 (Not
% 39.92/40.09 (And (Not (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 39.92/40.09 (Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))))))
% 39.92/40.09 False
% 39.92/40.09 Clause #202 (by clausification #[200]): ∀ (a a_1 : Iota), Eq (line (skS.0 1 a a_1)) True
% 39.92/40.09 Clause #203 (by clausification #[200]): ∀ (a : Iota), Eq (line (skS.0 0 a)) True
% 39.92/40.09 Clause #207 (by superposition #[203, 108]): ∀ (a a_1 : Iota),
% 39.92/40.09 Or (Eq True False)
% 39.92/40.09 (Or (Eq (line a) False)
% 39.92/40.09 (Or (Eq (unequally_directed_lines (skS.0 0 a_1) a) True)
% 39.92/40.09 (Eq (unequally_directed_lines (skS.0 0 a_1) (reverse_line a)) True)))
% 39.92/40.09 Clause #332 (by clausification #[201]): ∀ (a a_1 : Iota),
% 39.92/40.09 Eq
% 39.92/40.09 (And (Not (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1)))
% 39.92/40.09 (Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1)))))
% 39.92/40.09 True
% 39.92/40.09 Clause #333 (by clausification #[332]): ∀ (a a_1 : Iota), Eq (Not (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1)))) True
% 39.92/40.09 Clause #334 (by clausification #[332]): ∀ (a a_1 : Iota), Eq (Not (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1))) True
% 39.96/40.13 Clause #335 (by clausification #[333]): ∀ (a a_1 : Iota), Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a a_1))) False
% 39.96/40.13 Clause #336 (by clausification #[334]): ∀ (a a_1 : Iota), Eq (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1)) False
% 39.96/40.13 Clause #377 (by clausification #[207]): ∀ (a a_1 : Iota),
% 39.96/40.13 Or (Eq (line a) False)
% 39.96/40.13 (Or (Eq (unequally_directed_lines (skS.0 0 a_1) a) True)
% 39.96/40.13 (Eq (unequally_directed_lines (skS.0 0 a_1) (reverse_line a)) True))
% 39.96/40.13 Clause #378 (by superposition #[377, 202]): ∀ (a a_1 a_2 : Iota),
% 39.96/40.13 Or (Eq (unequally_directed_lines (skS.0 0 a) (skS.0 1 a_1 a_2)) True)
% 39.96/40.13 (Or (Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a_1 a_2))) True) (Eq False True))
% 39.96/40.13 Clause #4187 (by clausification #[378]): ∀ (a a_1 a_2 : Iota),
% 39.96/40.13 Or (Eq (unequally_directed_lines (skS.0 0 a) (skS.0 1 a_1 a_2)) True)
% 39.96/40.13 (Eq (unequally_directed_lines (skS.0 0 a) (reverse_line (skS.0 1 a_1 a_2))) True)
% 39.96/40.13 Clause #4188 (by superposition #[4187, 335]): ∀ (a a_1 : Iota), Or (Eq (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1)) True) (Eq True False)
% 39.96/40.13 Clause #4197 (by clausification #[4188]): ∀ (a a_1 : Iota), Eq (unequally_directed_lines (skS.0 0 a) (skS.0 1 a a_1)) True
% 39.96/40.13 Clause #4198 (by superposition #[4197, 336]): Eq True False
% 39.96/40.13 Clause #4206 (by clausification #[4198]): False
% 39.96/40.13 SZS output end Proof for theBenchmark.p
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