TSTP Solution File: SCT255_5 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SCT255_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n003.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 : Thu Aug 31 14:14:03 EDT 2023
% Result : Theorem 3.72s 3.95s
% Output : Proof 3.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SCT255_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 15:47:38 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.72/3.95 SZS status Theorem for theBenchmark.p
% 3.72/3.95 SZS output start Proof for theBenchmark.p
% 3.72/3.95 Clause #0 (by assumption #[]): Eq (Ne c d) True
% 3.72/3.95 Clause #1 (by assumption #[]): Eq
% 3.72/3.95 (∀ (B1 A1 : arrow_411405190le_alt),
% 3.72/3.95 Ne A1 B1 →
% 3.72/3.95 Exists fun C2 =>
% 3.72/3.95 distinct arrow_411405190le_alt
% 3.72/3.95 (cons arrow_411405190le_alt A1
% 3.72/3.95 (cons arrow_411405190le_alt B1 (cons arrow_411405190le_alt C2 (nil arrow_411405190le_alt)))))
% 3.72/3.95 True
% 3.72/3.95 Clause #110 (by assumption #[]): Eq
% 3.72/3.95 (∀ (E : arrow_411405190le_alt),
% 3.72/3.95 distinct arrow_411405190le_alt
% 3.72/3.95 (cons arrow_411405190le_alt c
% 3.72/3.95 (cons arrow_411405190le_alt d (cons arrow_411405190le_alt E (nil arrow_411405190le_alt)))) →
% 3.72/3.95 thesis)
% 3.72/3.95 True
% 3.72/3.95 Clause #111 (by assumption #[]): Eq (Not thesis) True
% 3.72/3.95 Clause #112 (by clausification #[111]): Eq thesis False
% 3.72/3.95 Clause #113 (by clausification #[0]): Ne c d
% 3.72/3.95 Clause #114 (by clausification #[1]): ∀ (a : arrow_411405190le_alt),
% 3.72/3.95 Eq
% 3.72/3.95 (∀ (A1 : arrow_411405190le_alt),
% 3.72/3.95 Ne A1 a →
% 3.72/3.95 Exists fun C2 =>
% 3.72/3.95 distinct arrow_411405190le_alt
% 3.72/3.95 (cons arrow_411405190le_alt A1
% 3.72/3.95 (cons arrow_411405190le_alt a (cons arrow_411405190le_alt C2 (nil arrow_411405190le_alt)))))
% 3.72/3.95 True
% 3.72/3.95 Clause #115 (by clausification #[114]): ∀ (a a_1 : arrow_411405190le_alt),
% 3.72/3.95 Eq
% 3.72/3.95 (Ne a a_1 →
% 3.72/3.95 Exists fun C2 =>
% 3.72/3.95 distinct arrow_411405190le_alt
% 3.72/3.95 (cons arrow_411405190le_alt a
% 3.72/3.95 (cons arrow_411405190le_alt a_1 (cons arrow_411405190le_alt C2 (nil arrow_411405190le_alt)))))
% 3.72/3.95 True
% 3.72/3.95 Clause #116 (by clausification #[115]): ∀ (a a_1 : arrow_411405190le_alt),
% 3.72/3.95 Or (Eq (Ne a a_1) False)
% 3.72/3.95 (Eq
% 3.72/3.95 (Exists fun C2 =>
% 3.72/3.95 distinct arrow_411405190le_alt
% 3.72/3.95 (cons arrow_411405190le_alt a
% 3.72/3.95 (cons arrow_411405190le_alt a_1 (cons arrow_411405190le_alt C2 (nil arrow_411405190le_alt)))))
% 3.72/3.95 True)
% 3.72/3.95 Clause #117 (by clausification #[116]): ∀ (a a_1 : arrow_411405190le_alt),
% 3.72/3.95 Or
% 3.72/3.95 (Eq
% 3.72/3.95 (Exists fun C2 =>
% 3.72/3.95 distinct arrow_411405190le_alt
% 3.72/3.95 (cons arrow_411405190le_alt a
% 3.72/3.95 (cons arrow_411405190le_alt a_1 (cons arrow_411405190le_alt C2 (nil arrow_411405190le_alt)))))
% 3.72/3.95 True)
% 3.72/3.95 (Eq a a_1)
% 3.72/3.95 Clause #118 (by clausification #[117]): ∀ (a a_1 a_2 : arrow_411405190le_alt),
% 3.72/3.95 Or (Eq a a_1)
% 3.72/3.95 (Eq
% 3.72/3.95 (distinct arrow_411405190le_alt
% 3.72/3.95 (cons arrow_411405190le_alt a
% 3.72/3.95 (cons arrow_411405190le_alt a_1
% 3.72/3.95 (cons arrow_411405190le_alt (skS.0 0 a a_1 a_2) (nil arrow_411405190le_alt)))))
% 3.72/3.95 True)
% 3.72/3.95 Clause #124 (by clausification #[110]): ∀ (a : arrow_411405190le_alt),
% 3.72/3.95 Eq
% 3.72/3.95 (distinct arrow_411405190le_alt
% 3.72/3.95 (cons arrow_411405190le_alt c
% 3.72/3.95 (cons arrow_411405190le_alt d (cons arrow_411405190le_alt a (nil arrow_411405190le_alt)))) →
% 3.72/3.95 thesis)
% 3.72/3.95 True
% 3.72/3.95 Clause #125 (by clausification #[124]): ∀ (a : arrow_411405190le_alt),
% 3.72/3.95 Or
% 3.72/3.95 (Eq
% 3.72/3.95 (distinct arrow_411405190le_alt
% 3.72/3.95 (cons arrow_411405190le_alt c
% 3.72/3.95 (cons arrow_411405190le_alt d (cons arrow_411405190le_alt a (nil arrow_411405190le_alt)))))
% 3.72/3.95 False)
% 3.72/3.95 (Eq thesis True)
% 3.72/3.95 Clause #126 (by forward demodulation #[125, 112]): ∀ (a : arrow_411405190le_alt),
% 3.72/3.95 Or
% 3.72/3.95 (Eq
% 3.72/3.95 (distinct arrow_411405190le_alt
% 3.72/3.95 (cons arrow_411405190le_alt c
% 3.72/3.95 (cons arrow_411405190le_alt d (cons arrow_411405190le_alt a (nil arrow_411405190le_alt)))))
% 3.72/3.95 False)
% 3.72/3.95 (Eq False True)
% 3.72/3.95 Clause #127 (by clausification #[126]): ∀ (a : arrow_411405190le_alt),
% 3.72/3.95 Eq
% 3.72/3.95 (distinct arrow_411405190le_alt
% 3.72/3.95 (cons arrow_411405190le_alt c
% 3.72/3.95 (cons arrow_411405190le_alt d (cons arrow_411405190le_alt a (nil arrow_411405190le_alt)))))
% 3.72/3.95 False
% 3.72/3.95 Clause #128 (by superposition #[127, 118]): Or (Eq c d) (Eq False True)
% 3.72/3.95 Clause #137 (by clausification #[128]): Eq c d
% 3.72/3.95 Clause #138 (by forward contextual literal cutting #[137, 113]): False
% 3.72/3.95 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------