TSTP Solution File: COM021+4 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : COM021+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n032.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 18:38:09 EDT 2023
% Result : Theorem 150.72s 150.95s
% Output : Proof 150.93s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : COM021+4 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : duper %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 29 12:47:31 EDT 2023
% 0.10/0.30 % CPUTime :
% 150.72/150.95 SZS status Theorem for theBenchmark.p
% 150.72/150.95 SZS output start Proof for theBenchmark.p
% 150.72/150.95 Clause #22 (by assumption #[]): Eq
% 150.72/150.95 (And
% 150.72/150.95 (And
% 150.72/150.95 (And
% 150.72/150.95 (And (aElement0 xd)
% 150.72/150.95 (Or (Eq xw xd)
% 150.72/150.95 (And
% 150.72/150.95 (Or (aReductOfIn0 xd xw xR)
% 150.72/150.95 (Exists fun W0 => And (And (aElement0 W0) (aReductOfIn0 W0 xw xR)) (sdtmndtplgtdt0 W0 xR xd)))
% 150.72/150.95 (sdtmndtplgtdt0 xw xR xd))))
% 150.72/150.95 (sdtmndtasgtdt0 xw xR xd))
% 150.72/150.95 (Not (Exists fun W0 => aReductOfIn0 W0 xd xR)))
% 150.72/150.95 (aNormalFormOfIn0 xd xw xR))
% 150.72/150.95 True
% 150.72/150.95 Clause #23 (by assumption #[]): Eq
% 150.72/150.95 (And
% 150.72/150.95 (And
% 150.72/150.95 (And
% 150.72/150.95 (And (aElement0 xx)
% 150.72/150.95 (Or (Eq xb xx)
% 150.72/150.95 (And
% 150.72/150.95 (Or (aReductOfIn0 xx xb xR)
% 150.72/150.95 (Exists fun W0 => And (And (aElement0 W0) (aReductOfIn0 W0 xb xR)) (sdtmndtplgtdt0 W0 xR xx)))
% 150.72/150.95 (sdtmndtplgtdt0 xb xR xx))))
% 150.72/150.95 (sdtmndtasgtdt0 xb xR xx))
% 150.72/150.95 (Or (Eq xd xx)
% 150.72/150.95 (And
% 150.72/150.95 (Or (aReductOfIn0 xx xd xR)
% 150.72/150.95 (Exists fun W0 => And (And (aElement0 W0) (aReductOfIn0 W0 xd xR)) (sdtmndtplgtdt0 W0 xR xx)))
% 150.72/150.96 (sdtmndtplgtdt0 xd xR xx))))
% 150.72/150.96 (sdtmndtasgtdt0 xd xR xx))
% 150.72/150.96 True
% 150.72/150.96 Clause #24 (by assumption #[]): Eq
% 150.72/150.96 (Not
% 150.72/150.96 (Or
% 150.72/150.96 (Or
% 150.72/150.96 (Or (Or (Eq xb xd) (aReductOfIn0 xd xb xR))
% 150.72/150.96 (Exists fun W0 => And (And (aElement0 W0) (aReductOfIn0 W0 xb xR)) (sdtmndtplgtdt0 W0 xR xd)))
% 150.72/150.96 (sdtmndtplgtdt0 xb xR xd))
% 150.72/150.96 (sdtmndtasgtdt0 xb xR xd)))
% 150.72/150.96 True
% 150.72/150.96 Clause #317 (by clausification #[22]): Eq
% 150.72/150.96 (And
% 150.72/150.96 (And
% 150.72/150.96 (And (aElement0 xd)
% 150.72/150.96 (Or (Eq xw xd)
% 150.72/150.96 (And
% 150.72/150.96 (Or (aReductOfIn0 xd xw xR)
% 150.72/150.96 (Exists fun W0 => And (And (aElement0 W0) (aReductOfIn0 W0 xw xR)) (sdtmndtplgtdt0 W0 xR xd)))
% 150.72/150.96 (sdtmndtplgtdt0 xw xR xd))))
% 150.72/150.96 (sdtmndtasgtdt0 xw xR xd))
% 150.72/150.96 (Not (Exists fun W0 => aReductOfIn0 W0 xd xR)))
% 150.72/150.96 True
% 150.72/150.96 Clause #329 (by clausification #[23]): Eq
% 150.72/150.96 (And
% 150.72/150.96 (And
% 150.72/150.96 (And (aElement0 xx)
% 150.72/150.96 (Or (Eq xb xx)
% 150.72/150.96 (And
% 150.72/150.96 (Or (aReductOfIn0 xx xb xR)
% 150.72/150.96 (Exists fun W0 => And (And (aElement0 W0) (aReductOfIn0 W0 xb xR)) (sdtmndtplgtdt0 W0 xR xx)))
% 150.72/150.96 (sdtmndtplgtdt0 xb xR xx))))
% 150.72/150.96 (sdtmndtasgtdt0 xb xR xx))
% 150.72/150.96 (Or (Eq xd xx)
% 150.72/150.96 (And
% 150.72/150.96 (Or (aReductOfIn0 xx xd xR)
% 150.72/150.96 (Exists fun W0 => And (And (aElement0 W0) (aReductOfIn0 W0 xd xR)) (sdtmndtplgtdt0 W0 xR xx)))
% 150.72/150.96 (sdtmndtplgtdt0 xd xR xx))))
% 150.72/150.96 True
% 150.72/150.96 Clause #337 (by clausification #[24]): Eq
% 150.72/150.96 (Or
% 150.72/150.96 (Or
% 150.72/150.96 (Or (Or (Eq xb xd) (aReductOfIn0 xd xb xR))
% 150.72/150.96 (Exists fun W0 => And (And (aElement0 W0) (aReductOfIn0 W0 xb xR)) (sdtmndtplgtdt0 W0 xR xd)))
% 150.72/150.96 (sdtmndtplgtdt0 xb xR xd))
% 150.72/150.96 (sdtmndtasgtdt0 xb xR xd))
% 150.72/150.96 False
% 150.72/150.96 Clause #338 (by clausification #[337]): Eq (sdtmndtasgtdt0 xb xR xd) False
% 150.72/150.96 Clause #1307 (by clausification #[317]): Eq (Not (Exists fun W0 => aReductOfIn0 W0 xd xR)) True
% 150.72/150.96 Clause #1309 (by clausification #[1307]): Eq (Exists fun W0 => aReductOfIn0 W0 xd xR) False
% 150.72/150.96 Clause #1310 (by clausification #[1309]): ∀ (a : Iota), Eq (aReductOfIn0 a xd xR) False
% 150.72/150.96 Clause #1328 (by clausification #[329]): Eq
% 150.72/150.96 (Or (Eq xd xx)
% 150.72/150.96 (And
% 150.72/150.96 (Or (aReductOfIn0 xx xd xR)
% 150.72/150.96 (Exists fun W0 => And (And (aElement0 W0) (aReductOfIn0 W0 xd xR)) (sdtmndtplgtdt0 W0 xR xx)))
% 150.72/150.96 (sdtmndtplgtdt0 xd xR xx)))
% 150.72/150.96 True
% 150.72/150.96 Clause #1329 (by clausification #[329]): Eq
% 150.72/150.96 (And
% 150.72/150.96 (And (aElement0 xx)
% 150.72/150.96 (Or (Eq xb xx)
% 150.72/150.96 (And
% 150.72/150.96 (Or (aReductOfIn0 xx xb xR)
% 150.72/150.96 (Exists fun W0 => And (And (aElement0 W0) (aReductOfIn0 W0 xb xR)) (sdtmndtplgtdt0 W0 xR xx)))
% 150.72/150.96 (sdtmndtplgtdt0 xb xR xx))))
% 150.72/150.96 (sdtmndtasgtdt0 xb xR xx))
% 150.72/150.96 True
% 150.72/150.96 Clause #1330 (by clausification #[1328]): Or (Eq (Eq xd xx) True)
% 150.72/150.96 (Eq
% 150.72/150.96 (And
% 150.72/150.96 (Or (aReductOfIn0 xx xd xR)
% 150.72/150.96 (Exists fun W0 => And (And (aElement0 W0) (aReductOfIn0 W0 xd xR)) (sdtmndtplgtdt0 W0 xR xx)))
% 150.72/150.96 (sdtmndtplgtdt0 xd xR xx))
% 150.72/150.96 True)
% 150.72/150.96 Clause #1331 (by clausification #[1330]): Or
% 150.72/150.96 (Eq
% 150.72/150.96 (And
% 150.72/150.96 (Or (aReductOfIn0 xx xd xR)
% 150.72/150.96 (Exists fun W0 => And (And (aElement0 W0) (aReductOfIn0 W0 xd xR)) (sdtmndtplgtdt0 W0 xR xx)))
% 150.72/150.96 (sdtmndtplgtdt0 xd xR xx))
% 150.93/151.13 True)
% 150.93/151.13 (Eq xd xx)
% 150.93/151.13 Clause #1333 (by clausification #[1331]): Or (Eq xd xx)
% 150.93/151.13 (Eq
% 150.93/151.13 (Or (aReductOfIn0 xx xd xR)
% 150.93/151.13 (Exists fun W0 => And (And (aElement0 W0) (aReductOfIn0 W0 xd xR)) (sdtmndtplgtdt0 W0 xR xx)))
% 150.93/151.13 True)
% 150.93/151.13 Clause #2583 (by clausification #[1333]): Or (Eq xd xx)
% 150.93/151.13 (Or (Eq (aReductOfIn0 xx xd xR) True)
% 150.93/151.13 (Eq (Exists fun W0 => And (And (aElement0 W0) (aReductOfIn0 W0 xd xR)) (sdtmndtplgtdt0 W0 xR xx)) True))
% 150.93/151.13 Clause #2584 (by clausification #[2583]): ∀ (a : Iota),
% 150.93/151.13 Or (Eq xd xx)
% 150.93/151.13 (Or (Eq (aReductOfIn0 xx xd xR) True)
% 150.93/151.13 (Eq (And (And (aElement0 (skS.0 18 a)) (aReductOfIn0 (skS.0 18 a) xd xR)) (sdtmndtplgtdt0 (skS.0 18 a) xR xx))
% 150.93/151.13 True))
% 150.93/151.13 Clause #2586 (by clausification #[2584]): ∀ (a : Iota),
% 150.93/151.13 Or (Eq xd xx)
% 150.93/151.13 (Or (Eq (aReductOfIn0 xx xd xR) True) (Eq (And (aElement0 (skS.0 18 a)) (aReductOfIn0 (skS.0 18 a) xd xR)) True))
% 150.93/151.13 Clause #2984 (by clausification #[2586]): ∀ (a : Iota), Or (Eq xd xx) (Or (Eq (aReductOfIn0 xx xd xR) True) (Eq (aReductOfIn0 (skS.0 18 a) xd xR) True))
% 150.93/151.13 Clause #2986 (by forward demodulation #[2984, 1310]): ∀ (a : Iota), Or (Eq xd xx) (Or (Eq False True) (Eq (aReductOfIn0 (skS.0 18 a) xd xR) True))
% 150.93/151.13 Clause #2987 (by clausification #[2986]): ∀ (a : Iota), Or (Eq xd xx) (Eq (aReductOfIn0 (skS.0 18 a) xd xR) True)
% 150.93/151.13 Clause #2988 (by superposition #[2987, 1310]): Or (Eq xd xx) (Eq True False)
% 150.93/151.13 Clause #2989 (by clausification #[2988]): Eq xd xx
% 150.93/151.13 Clause #10469 (by clausification #[1329]): Eq (sdtmndtasgtdt0 xb xR xx) True
% 150.93/151.13 Clause #10471 (by forward demodulation #[10469, 2989]): Eq (sdtmndtasgtdt0 xb xR xd) True
% 150.93/151.13 Clause #10472 (by superposition #[10471, 338]): Eq True False
% 150.93/151.13 Clause #10473 (by clausification #[10472]): False
% 150.93/151.13 SZS output end Proof for theBenchmark.p
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