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Duper---1.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : COM144+1 : TPTP v9.2.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n001.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 : Fri Oct  3 07:45:56 PM UTC 2025

% Result   : Theorem 30.36s 30.58s
% Output   : Proof 30.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : COM144+1 : TPTP v9.2.0. Released v6.4.0.
% 0.07/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Oct  2 16:04:08 EDT 2025
% 0.13/0.34  % CPUTime    : 
% 30.36/30.58  SZS status Theorem for theBenchmark.p
% 30.36/30.58  SZS output start Proof for theBenchmark.p
% 30.36/30.58  Clause #37 (by assumption #[]): Eq (∀ (VExp0 : Iota), Ne vnoExp (vsomeExp VExp0)) True
% 30.36/30.58  Clause #42 (by assumption #[]): Eq (∀ (Vx VS Ve VExp0 RESULT : Iota), Eq VExp0 (vabs Vx VS Ve) → Eq RESULT (vreduce VExp0) → Eq RESULT vnoExp) True
% 30.36/30.58  Clause #59 (by assumption #[]): Eq
% 30.36/30.58    (Not
% 30.36/30.58      (∀ (Vx VS VC Veout VT : Iota),
% 30.36/30.58        And (Eq (vreduce (vabs Vx VS ve1)) (vsomeExp Veout)) (vtcheck VC (vabs Vx VS ve1) VT) → vtcheck VC Veout VT))
% 30.36/30.58    True
% 30.36/30.58  Clause #94 (by clausification #[37]): ∀ (a : Iota), Eq (Ne vnoExp (vsomeExp a)) True
% 30.36/30.58  Clause #95 (by clausification #[94]): ∀ (a : Iota), Ne vnoExp (vsomeExp a)
% 30.36/30.58  Clause #257 (by clausification #[59]): Eq
% 30.36/30.58    (∀ (Vx VS VC Veout VT : Iota),
% 30.36/30.58      And (Eq (vreduce (vabs Vx VS ve1)) (vsomeExp Veout)) (vtcheck VC (vabs Vx VS ve1) VT) → vtcheck VC Veout VT)
% 30.36/30.58    False
% 30.36/30.58  Clause #258 (by clausification #[257]): ∀ (a : Iota),
% 30.36/30.58    Eq
% 30.36/30.58      (Not
% 30.36/30.58        (∀ (VS VC Veout VT : Iota),
% 30.36/30.58          And (Eq (vreduce (vabs (skS.0 0 a) VS ve1)) (vsomeExp Veout)) (vtcheck VC (vabs (skS.0 0 a) VS ve1) VT) →
% 30.36/30.58            vtcheck VC Veout VT))
% 30.36/30.58      True
% 30.36/30.58  Clause #259 (by clausification #[258]): ∀ (a : Iota),
% 30.36/30.58    Eq
% 30.36/30.58      (∀ (VS VC Veout VT : Iota),
% 30.36/30.58        And (Eq (vreduce (vabs (skS.0 0 a) VS ve1)) (vsomeExp Veout)) (vtcheck VC (vabs (skS.0 0 a) VS ve1) VT) →
% 30.36/30.58          vtcheck VC Veout VT)
% 30.36/30.58      False
% 30.36/30.58  Clause #260 (by clausification #[259]): ∀ (a a_1 : Iota),
% 30.36/30.58    Eq
% 30.36/30.58      (Not
% 30.36/30.58        (∀ (VC Veout VT : Iota),
% 30.36/30.58          And (Eq (vreduce (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1)) (vsomeExp Veout))
% 30.36/30.58              (vtcheck VC (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1) VT) →
% 30.36/30.58            vtcheck VC Veout VT))
% 30.36/30.58      True
% 30.36/30.58  Clause #261 (by clausification #[260]): ∀ (a a_1 : Iota),
% 30.36/30.58    Eq
% 30.36/30.58      (∀ (VC Veout VT : Iota),
% 30.36/30.58        And (Eq (vreduce (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1)) (vsomeExp Veout))
% 30.36/30.58            (vtcheck VC (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1) VT) →
% 30.36/30.58          vtcheck VC Veout VT)
% 30.36/30.58      False
% 30.36/30.58  Clause #262 (by clausification #[261]): ∀ (a a_1 a_2 : Iota),
% 30.36/30.58    Eq
% 30.36/30.58      (Not
% 30.36/30.58        (∀ (Veout VT : Iota),
% 30.36/30.58          And (Eq (vreduce (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1)) (vsomeExp Veout))
% 30.36/30.58              (vtcheck (skS.0 2 a a_1 a_2) (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1) VT) →
% 30.36/30.58            vtcheck (skS.0 2 a a_1 a_2) Veout VT))
% 30.36/30.58      True
% 30.36/30.58  Clause #263 (by clausification #[262]): ∀ (a a_1 a_2 : Iota),
% 30.36/30.58    Eq
% 30.36/30.58      (∀ (Veout VT : Iota),
% 30.36/30.58        And (Eq (vreduce (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1)) (vsomeExp Veout))
% 30.36/30.58            (vtcheck (skS.0 2 a a_1 a_2) (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1) VT) →
% 30.36/30.58          vtcheck (skS.0 2 a a_1 a_2) Veout VT)
% 30.36/30.58      False
% 30.36/30.58  Clause #264 (by clausification #[263]): ∀ (a a_1 a_2 a_3 : Iota),
% 30.36/30.58    Eq
% 30.36/30.58      (Not
% 30.36/30.58        (∀ (VT : Iota),
% 30.36/30.58          And (Eq (vreduce (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1)) (vsomeExp (skS.0 3 a a_1 a_2 a_3)))
% 30.36/30.58              (vtcheck (skS.0 2 a a_1 a_2) (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1) VT) →
% 30.36/30.58            vtcheck (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) VT))
% 30.36/30.58      True
% 30.36/30.58  Clause #265 (by clausification #[264]): ∀ (a a_1 a_2 a_3 : Iota),
% 30.36/30.58    Eq
% 30.36/30.58      (∀ (VT : Iota),
% 30.36/30.58        And (Eq (vreduce (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1)) (vsomeExp (skS.0 3 a a_1 a_2 a_3)))
% 30.36/30.58            (vtcheck (skS.0 2 a a_1 a_2) (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1) VT) →
% 30.36/30.58          vtcheck (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) VT)
% 30.36/30.58      False
% 30.36/30.58  Clause #266 (by clausification #[265]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 30.36/30.58    Eq
% 30.36/30.58      (Not
% 30.36/30.58        (And (Eq (vreduce (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1)) (vsomeExp (skS.0 3 a a_1 a_2 a_3)))
% 30.36/30.58            (vtcheck (skS.0 2 a a_1 a_2) (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1) (skS.0 4 a a_1 a_2 a_3 a_4)) →
% 30.36/30.58          vtcheck (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 30.36/30.58      True
% 30.36/30.58  Clause #267 (by clausification #[266]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 30.36/30.58    Eq
% 30.36/30.58      (And (Eq (vreduce (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1)) (vsomeExp (skS.0 3 a a_1 a_2 a_3)))
% 30.36/30.58          (vtcheck (skS.0 2 a a_1 a_2) (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1) (skS.0 4 a a_1 a_2 a_3 a_4)) →
% 30.36/30.58        vtcheck (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3) (skS.0 4 a a_1 a_2 a_3 a_4))
% 30.43/30.65      False
% 30.43/30.65  Clause #268 (by clausification #[267]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 30.43/30.65    Eq
% 30.43/30.65      (And (Eq (vreduce (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1)) (vsomeExp (skS.0 3 a a_1 a_2 a_3)))
% 30.43/30.65        (vtcheck (skS.0 2 a a_1 a_2) (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1) (skS.0 4 a a_1 a_2 a_3 a_4)))
% 30.43/30.65      True
% 30.43/30.65  Clause #271 (by clausification #[268]): ∀ (a a_1 a_2 a_3 : Iota),
% 30.43/30.65    Eq (Eq (vreduce (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1)) (vsomeExp (skS.0 3 a a_1 a_2 a_3))) True
% 30.43/30.65  Clause #278 (by clausification #[42]): ∀ (a : Iota),
% 30.43/30.65    Eq (∀ (VS Ve VExp0 RESULT : Iota), Eq VExp0 (vabs a VS Ve) → Eq RESULT (vreduce VExp0) → Eq RESULT vnoExp) True
% 30.43/30.65  Clause #279 (by clausification #[278]): ∀ (a a_1 : Iota),
% 30.43/30.65    Eq (∀ (Ve VExp0 RESULT : Iota), Eq VExp0 (vabs a a_1 Ve) → Eq RESULT (vreduce VExp0) → Eq RESULT vnoExp) True
% 30.43/30.65  Clause #280 (by clausification #[279]): ∀ (a a_1 a_2 : Iota),
% 30.43/30.65    Eq (∀ (VExp0 RESULT : Iota), Eq VExp0 (vabs a a_1 a_2) → Eq RESULT (vreduce VExp0) → Eq RESULT vnoExp) True
% 30.43/30.65  Clause #281 (by clausification #[280]): ∀ (a a_1 a_2 a_3 : Iota),
% 30.43/30.65    Eq (∀ (RESULT : Iota), Eq a (vabs a_1 a_2 a_3) → Eq RESULT (vreduce a) → Eq RESULT vnoExp) True
% 30.43/30.65  Clause #282 (by clausification #[281]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (Eq a (vabs a_1 a_2 a_3) → Eq a_4 (vreduce a) → Eq a_4 vnoExp) True
% 30.43/30.65  Clause #283 (by clausification #[282]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (Eq a (vabs a_1 a_2 a_3)) False) (Eq (Eq a_4 (vreduce a) → Eq a_4 vnoExp) True)
% 30.43/30.65  Clause #284 (by clausification #[283]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (Eq a (vreduce a_1) → Eq a vnoExp) True) (Ne a_1 (vabs a_2 a_3 a_4))
% 30.43/30.65  Clause #285 (by clausification #[284]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 30.43/30.65    Or (Ne a (vabs a_1 a_2 a_3)) (Or (Eq (Eq a_4 (vreduce a)) False) (Eq (Eq a_4 vnoExp) True))
% 30.43/30.65  Clause #286 (by clausification #[285]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Ne a (vabs a_1 a_2 a_3)) (Or (Eq (Eq a_4 vnoExp) True) (Ne a_4 (vreduce a)))
% 30.43/30.65  Clause #287 (by clausification #[286]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Ne a (vabs a_1 a_2 a_3)) (Or (Ne a_4 (vreduce a)) (Eq a_4 vnoExp))
% 30.43/30.65  Clause #288 (by destructive equality resolution #[287]): ∀ (a a_1 a_2 a_3 : Iota), Or (Ne a (vreduce (vabs a_1 a_2 a_3))) (Eq a vnoExp)
% 30.43/30.65  Clause #289 (by destructive equality resolution #[288]): ∀ (a a_1 a_2 : Iota), Eq (vreduce (vabs a a_1 a_2)) vnoExp
% 30.43/30.65  Clause #5250 (by clausification #[271]): ∀ (a a_1 a_2 a_3 : Iota), Eq (vreduce (vabs (skS.0 0 a) (skS.0 1 a a_1) ve1)) (vsomeExp (skS.0 3 a a_1 a_2 a_3))
% 30.43/30.65  Clause #5251 (by forward demodulation #[5250, 289]): ∀ (a a_1 a_2 a_3 : Iota), Eq vnoExp (vsomeExp (skS.0 3 a a_1 a_2 a_3))
% 30.43/30.65  Clause #5252 (by forward contextual literal cutting #[5251, 95]): False
% 30.43/30.65  SZS output end Proof for theBenchmark.p
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