TSTP Solution File: NUM615+3 by Duper---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : NUM615+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n004.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 10:56:31 EDT 2023

% Result   : Theorem 8.54s 8.71s
% Output   : Proof 8.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUM615+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : duper %s
% 0.15/0.35  % Computer : n004.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   : Fri Aug 25 12:33:53 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 8.54/8.71  SZS status Theorem for theBenchmark.p
% 8.54/8.71  SZS output start Proof for theBenchmark.p
% 8.54/8.71  Clause #104 (by assumption #[]): Eq (Exists fun W0 => And (aElementOf0 W0 (sdtlbdtrb0 xd (szDzizrdt0 xd))) (Eq (sdtlpdtrp0 xe W0) xp)) True
% 8.54/8.71  Clause #109 (by assumption #[]): Eq
% 8.54/8.71    (Not
% 8.54/8.71      (Exists fun W0 =>
% 8.54/8.71        And
% 8.54/8.71          (Or (And (aElementOf0 W0 (szDzozmdt0 xd)) (Eq (sdtlpdtrp0 xd W0) (szDzizrdt0 xd)))
% 8.54/8.71            (aElementOf0 W0 (sdtlbdtrb0 xd (szDzizrdt0 xd))))
% 8.54/8.71          (Eq (sdtlpdtrp0 xe W0) xp)))
% 8.54/8.71    True
% 8.54/8.71  Clause #2248 (by clausification #[104]): ∀ (a : Iota),
% 8.54/8.71    Eq (And (aElementOf0 (skS.0 24 a) (sdtlbdtrb0 xd (szDzizrdt0 xd))) (Eq (sdtlpdtrp0 xe (skS.0 24 a)) xp)) True
% 8.54/8.71  Clause #2249 (by clausification #[2248]): ∀ (a : Iota), Eq (Eq (sdtlpdtrp0 xe (skS.0 24 a)) xp) True
% 8.54/8.71  Clause #2250 (by clausification #[2248]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 24 a) (sdtlbdtrb0 xd (szDzizrdt0 xd))) True
% 8.54/8.71  Clause #2251 (by clausification #[2249]): ∀ (a : Iota), Eq (sdtlpdtrp0 xe (skS.0 24 a)) xp
% 8.54/8.71  Clause #2257 (by clausification #[109]): Eq
% 8.54/8.71    (Exists fun W0 =>
% 8.54/8.71      And
% 8.54/8.71        (Or (And (aElementOf0 W0 (szDzozmdt0 xd)) (Eq (sdtlpdtrp0 xd W0) (szDzizrdt0 xd)))
% 8.54/8.71          (aElementOf0 W0 (sdtlbdtrb0 xd (szDzizrdt0 xd))))
% 8.54/8.71        (Eq (sdtlpdtrp0 xe W0) xp))
% 8.54/8.71    False
% 8.54/8.71  Clause #2258 (by clausification #[2257]): ∀ (a : Iota),
% 8.54/8.71    Eq
% 8.54/8.71      (And
% 8.54/8.71        (Or (And (aElementOf0 a (szDzozmdt0 xd)) (Eq (sdtlpdtrp0 xd a) (szDzizrdt0 xd)))
% 8.54/8.71          (aElementOf0 a (sdtlbdtrb0 xd (szDzizrdt0 xd))))
% 8.54/8.71        (Eq (sdtlpdtrp0 xe a) xp))
% 8.54/8.71      False
% 8.54/8.71  Clause #2259 (by clausification #[2258]): ∀ (a : Iota),
% 8.54/8.71    Or
% 8.54/8.71      (Eq
% 8.54/8.71        (Or (And (aElementOf0 a (szDzozmdt0 xd)) (Eq (sdtlpdtrp0 xd a) (szDzizrdt0 xd)))
% 8.54/8.71          (aElementOf0 a (sdtlbdtrb0 xd (szDzizrdt0 xd))))
% 8.54/8.71        False)
% 8.54/8.71      (Eq (Eq (sdtlpdtrp0 xe a) xp) False)
% 8.54/8.71  Clause #2260 (by clausification #[2259]): ∀ (a : Iota), Or (Eq (Eq (sdtlpdtrp0 xe a) xp) False) (Eq (aElementOf0 a (sdtlbdtrb0 xd (szDzizrdt0 xd))) False)
% 8.54/8.71  Clause #2262 (by clausification #[2260]): ∀ (a : Iota), Or (Eq (aElementOf0 a (sdtlbdtrb0 xd (szDzizrdt0 xd))) False) (Ne (sdtlpdtrp0 xe a) xp)
% 8.54/8.71  Clause #2263 (by superposition #[2262, 2250]): ∀ (a : Iota), Or (Ne (sdtlpdtrp0 xe (skS.0 24 a)) xp) (Eq False True)
% 8.54/8.71  Clause #2264 (by clausification #[2263]): ∀ (a : Iota), Ne (sdtlpdtrp0 xe (skS.0 24 a)) xp
% 8.54/8.71  Clause #2265 (by forward demodulation #[2264, 2251]): Ne xp xp
% 8.54/8.71  Clause #2266 (by eliminate resolved literals #[2265]): False
% 8.54/8.71  SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------