TSTP Solution File: COM147+1 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : COM147+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n016.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 18:38:28 EDT 2023

% Result   : Theorem 28.58s 28.74s
% Output   : Proof 28.58s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : COM147+1 : TPTP v8.1.2. Released v6.4.0.
% 0.12/0.13  % Command    : duper %s
% 0.14/0.34  % Computer : n016.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 13:51:46 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 28.58/28.74  SZS status Theorem for theBenchmark.p
% 28.58/28.74  SZS output start Proof for theBenchmark.p
% 28.58/28.74  Clause #6 (by assumption #[]): Eq (∀ (Vx VS Ve VExp0 : Iota), Eq VExp0 (vabs Vx VS Ve) → visValue VExp0) True
% 28.58/28.74  Clause #57 (by assumption #[]): Eq
% 28.58/28.74    (Not
% 28.58/28.74      (∀ (VTin Vx VS : Iota),
% 28.58/28.74        And (vtcheck vempty (vabs Vx VS ve1) VTin) (Not (visValue (vabs Vx VS ve1))) →
% 28.58/28.74          Exists fun Veout => Eq (vreduce (vabs Vx VS ve1)) (vsomeExp Veout)))
% 28.58/28.74    True
% 28.58/28.74  Clause #100 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (VS Ve VExp0 : Iota), Eq VExp0 (vabs a VS Ve) → visValue VExp0) True
% 28.58/28.74  Clause #101 (by clausification #[100]): ∀ (a a_1 : Iota), Eq (∀ (Ve VExp0 : Iota), Eq VExp0 (vabs a a_1 Ve) → visValue VExp0) True
% 28.58/28.74  Clause #102 (by clausification #[101]): ∀ (a a_1 a_2 : Iota), Eq (∀ (VExp0 : Iota), Eq VExp0 (vabs a a_1 a_2) → visValue VExp0) True
% 28.58/28.74  Clause #103 (by clausification #[102]): ∀ (a a_1 a_2 a_3 : Iota), Eq (Eq a (vabs a_1 a_2 a_3) → visValue a) True
% 28.58/28.74  Clause #104 (by clausification #[103]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (Eq a (vabs a_1 a_2 a_3)) False) (Eq (visValue a) True)
% 28.58/28.74  Clause #105 (by clausification #[104]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (visValue a) True) (Ne a (vabs a_1 a_2 a_3))
% 28.58/28.74  Clause #106 (by destructive equality resolution #[105]): ∀ (a a_1 a_2 : Iota), Eq (visValue (vabs a a_1 a_2)) True
% 28.58/28.74  Clause #4578 (by clausification #[57]): Eq
% 28.58/28.74    (∀ (VTin Vx VS : Iota),
% 28.58/28.74      And (vtcheck vempty (vabs Vx VS ve1) VTin) (Not (visValue (vabs Vx VS ve1))) →
% 28.58/28.74        Exists fun Veout => Eq (vreduce (vabs Vx VS ve1)) (vsomeExp Veout))
% 28.58/28.74    False
% 28.58/28.74  Clause #4579 (by clausification #[4578]): ∀ (a : Iota),
% 28.58/28.74    Eq
% 28.58/28.74      (Not
% 28.58/28.74        (∀ (Vx VS : Iota),
% 28.58/28.74          And (vtcheck vempty (vabs Vx VS ve1) (skS.0 75 a)) (Not (visValue (vabs Vx VS ve1))) →
% 28.58/28.74            Exists fun Veout => Eq (vreduce (vabs Vx VS ve1)) (vsomeExp Veout)))
% 28.58/28.74      True
% 28.58/28.74  Clause #4580 (by clausification #[4579]): ∀ (a : Iota),
% 28.58/28.74    Eq
% 28.58/28.74      (∀ (Vx VS : Iota),
% 28.58/28.74        And (vtcheck vempty (vabs Vx VS ve1) (skS.0 75 a)) (Not (visValue (vabs Vx VS ve1))) →
% 28.58/28.74          Exists fun Veout => Eq (vreduce (vabs Vx VS ve1)) (vsomeExp Veout))
% 28.58/28.74      False
% 28.58/28.74  Clause #4581 (by clausification #[4580]): ∀ (a a_1 : Iota),
% 28.58/28.74    Eq
% 28.58/28.74      (Not
% 28.58/28.74        (∀ (VS : Iota),
% 28.58/28.74          And (vtcheck vempty (vabs (skS.0 76 a a_1) VS ve1) (skS.0 75 a))
% 28.58/28.74              (Not (visValue (vabs (skS.0 76 a a_1) VS ve1))) →
% 28.58/28.74            Exists fun Veout => Eq (vreduce (vabs (skS.0 76 a a_1) VS ve1)) (vsomeExp Veout)))
% 28.58/28.74      True
% 28.58/28.74  Clause #4582 (by clausification #[4581]): ∀ (a a_1 : Iota),
% 28.58/28.74    Eq
% 28.58/28.74      (∀ (VS : Iota),
% 28.58/28.74        And (vtcheck vempty (vabs (skS.0 76 a a_1) VS ve1) (skS.0 75 a)) (Not (visValue (vabs (skS.0 76 a a_1) VS ve1))) →
% 28.58/28.74          Exists fun Veout => Eq (vreduce (vabs (skS.0 76 a a_1) VS ve1)) (vsomeExp Veout))
% 28.58/28.74      False
% 28.58/28.74  Clause #4583 (by clausification #[4582]): ∀ (a a_1 a_2 : Iota),
% 28.58/28.74    Eq
% 28.58/28.74      (Not
% 28.58/28.74        (And (vtcheck vempty (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1) (skS.0 75 a))
% 28.58/28.74            (Not (visValue (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1))) →
% 28.58/28.74          Exists fun Veout => Eq (vreduce (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1)) (vsomeExp Veout)))
% 28.58/28.74      True
% 28.58/28.74  Clause #4584 (by clausification #[4583]): ∀ (a a_1 a_2 : Iota),
% 28.58/28.74    Eq
% 28.58/28.74      (And (vtcheck vempty (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1) (skS.0 75 a))
% 28.58/28.74          (Not (visValue (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1))) →
% 28.58/28.74        Exists fun Veout => Eq (vreduce (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1)) (vsomeExp Veout))
% 28.58/28.74      False
% 28.58/28.74  Clause #4585 (by clausification #[4584]): ∀ (a a_1 a_2 : Iota),
% 28.58/28.74    Eq
% 28.58/28.74      (And (vtcheck vempty (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1) (skS.0 75 a))
% 28.58/28.74        (Not (visValue (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1))))
% 28.58/28.74      True
% 28.58/28.74  Clause #4587 (by clausification #[4585]): ∀ (a a_1 a_2 : Iota), Eq (Not (visValue (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1))) True
% 28.58/28.74  Clause #4589 (by clausification #[4587]): ∀ (a a_1 a_2 : Iota), Eq (visValue (vabs (skS.0 76 a a_1) (skS.0 77 a a_1 a_2) ve1)) False
% 28.58/28.74  Clause #4590 (by superposition #[4589, 106]): Eq False True
% 28.58/28.74  Clause #4631 (by clausification #[4590]): False
% 28.58/28.77  SZS output end Proof for theBenchmark.p
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