TSTP Solution File: RNG124+4 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : RNG124+4 : 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 13:51:31 EDT 2023
% Result : Theorem 8.04s 8.21s
% Output : Proof 8.04s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : RNG124+4 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : duper %s
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun Aug 27 01:44:52 EDT 2023
% 0.11/0.33 % CPUTime :
% 8.04/8.21 SZS status Theorem for theBenchmark.p
% 8.04/8.21 SZS output start Proof for theBenchmark.p
% 8.04/8.21 Clause #44 (by assumption #[]): Eq
% 8.04/8.21 (And
% 8.04/8.21 (And
% 8.04/8.21 (And
% 8.04/8.21 (Exists fun W0 =>
% 8.04/8.21 Exists fun W1 =>
% 8.04/8.21 And (And (aElementOf0 W0 (slsdtgt0 xa)) (aElementOf0 W1 (slsdtgt0 xb))) (Eq (sdtpldt0 W0 W1) xu))
% 8.04/8.21 (aElementOf0 xu xI))
% 8.04/8.21 (Ne xu sz00))
% 8.04/8.21 (∀ (W0 : Iota),
% 8.04/8.21 And
% 8.04/8.21 (Or
% 8.04/8.21 (Exists fun W1 =>
% 8.04/8.21 Exists fun W2 =>
% 8.04/8.21 And (And (aElementOf0 W1 (slsdtgt0 xa)) (aElementOf0 W2 (slsdtgt0 xb))) (Eq (sdtpldt0 W1 W2) W0))
% 8.04/8.21 (aElementOf0 W0 xI))
% 8.04/8.21 (Ne W0 sz00) →
% 8.04/8.21 Not (iLess0 (sbrdtbr0 W0) (sbrdtbr0 xu))))
% 8.04/8.21 True
% 8.04/8.21 Clause #49 (by assumption #[]): Eq
% 8.04/8.21 (And (And (And (aElement0 xq) (aElement0 xr)) (Eq xb (sdtpldt0 (sdtasdt0 xq xu) xr)))
% 8.04/8.21 (Or (Eq xr sz00) (iLess0 (sbrdtbr0 xr) (sbrdtbr0 xu))))
% 8.04/8.21 True
% 8.04/8.21 Clause #50 (by assumption #[]): Eq (Ne xr sz00) True
% 8.04/8.21 Clause #54 (by assumption #[]): Eq
% 8.04/8.21 (And
% 8.04/8.21 (Exists fun W0 =>
% 8.04/8.21 Exists fun W1 => And (And (aElementOf0 W0 (slsdtgt0 xa)) (aElementOf0 W1 (slsdtgt0 xb))) (Eq (sdtpldt0 W0 W1) xr))
% 8.04/8.21 (aElementOf0 xr xI))
% 8.04/8.21 True
% 8.04/8.21 Clause #68 (by clausification #[50]): Ne xr sz00
% 8.04/8.21 Clause #1742 (by clausification #[44]): Eq
% 8.04/8.21 (∀ (W0 : Iota),
% 8.04/8.21 And
% 8.04/8.21 (Or
% 8.04/8.21 (Exists fun W1 =>
% 8.04/8.21 Exists fun W2 =>
% 8.04/8.21 And (And (aElementOf0 W1 (slsdtgt0 xa)) (aElementOf0 W2 (slsdtgt0 xb))) (Eq (sdtpldt0 W1 W2) W0))
% 8.04/8.21 (aElementOf0 W0 xI))
% 8.04/8.21 (Ne W0 sz00) →
% 8.04/8.21 Not (iLess0 (sbrdtbr0 W0) (sbrdtbr0 xu)))
% 8.04/8.21 True
% 8.04/8.21 Clause #1744 (by clausification #[1742]): ∀ (a : Iota),
% 8.04/8.21 Eq
% 8.04/8.21 (And
% 8.04/8.21 (Or
% 8.04/8.21 (Exists fun W1 =>
% 8.04/8.21 Exists fun W2 =>
% 8.04/8.21 And (And (aElementOf0 W1 (slsdtgt0 xa)) (aElementOf0 W2 (slsdtgt0 xb))) (Eq (sdtpldt0 W1 W2) a))
% 8.04/8.21 (aElementOf0 a xI))
% 8.04/8.21 (Ne a sz00) →
% 8.04/8.21 Not (iLess0 (sbrdtbr0 a) (sbrdtbr0 xu)))
% 8.04/8.21 True
% 8.04/8.21 Clause #1745 (by clausification #[1744]): ∀ (a : Iota),
% 8.04/8.21 Or
% 8.04/8.21 (Eq
% 8.04/8.21 (And
% 8.04/8.21 (Or
% 8.04/8.21 (Exists fun W1 =>
% 8.04/8.21 Exists fun W2 =>
% 8.04/8.21 And (And (aElementOf0 W1 (slsdtgt0 xa)) (aElementOf0 W2 (slsdtgt0 xb))) (Eq (sdtpldt0 W1 W2) a))
% 8.04/8.21 (aElementOf0 a xI))
% 8.04/8.21 (Ne a sz00))
% 8.04/8.21 False)
% 8.04/8.21 (Eq (Not (iLess0 (sbrdtbr0 a) (sbrdtbr0 xu))) True)
% 8.04/8.21 Clause #1746 (by clausification #[1745]): ∀ (a : Iota),
% 8.04/8.21 Or (Eq (Not (iLess0 (sbrdtbr0 a) (sbrdtbr0 xu))) True)
% 8.04/8.21 (Or
% 8.04/8.21 (Eq
% 8.04/8.21 (Or
% 8.04/8.21 (Exists fun W1 =>
% 8.04/8.21 Exists fun W2 =>
% 8.04/8.21 And (And (aElementOf0 W1 (slsdtgt0 xa)) (aElementOf0 W2 (slsdtgt0 xb))) (Eq (sdtpldt0 W1 W2) a))
% 8.04/8.21 (aElementOf0 a xI))
% 8.04/8.21 False)
% 8.04/8.21 (Eq (Ne a sz00) False))
% 8.04/8.21 Clause #1747 (by clausification #[1746]): ∀ (a : Iota),
% 8.04/8.21 Or
% 8.04/8.21 (Eq
% 8.04/8.21 (Or
% 8.04/8.21 (Exists fun W1 =>
% 8.04/8.21 Exists fun W2 =>
% 8.04/8.21 And (And (aElementOf0 W1 (slsdtgt0 xa)) (aElementOf0 W2 (slsdtgt0 xb))) (Eq (sdtpldt0 W1 W2) a))
% 8.04/8.21 (aElementOf0 a xI))
% 8.04/8.21 False)
% 8.04/8.21 (Or (Eq (Ne a sz00) False) (Eq (iLess0 (sbrdtbr0 a) (sbrdtbr0 xu)) False))
% 8.04/8.21 Clause #1748 (by clausification #[1747]): ∀ (a : Iota),
% 8.04/8.21 Or (Eq (Ne a sz00) False) (Or (Eq (iLess0 (sbrdtbr0 a) (sbrdtbr0 xu)) False) (Eq (aElementOf0 a xI) False))
% 8.04/8.21 Clause #1750 (by clausification #[1748]): ∀ (a : Iota), Or (Eq (iLess0 (sbrdtbr0 a) (sbrdtbr0 xu)) False) (Or (Eq (aElementOf0 a xI) False) (Eq a sz00))
% 8.04/8.21 Clause #2058 (by clausification #[49]): Eq (Or (Eq xr sz00) (iLess0 (sbrdtbr0 xr) (sbrdtbr0 xu))) True
% 8.04/8.21 Clause #2060 (by clausification #[2058]): Or (Eq (Eq xr sz00) True) (Eq (iLess0 (sbrdtbr0 xr) (sbrdtbr0 xu)) True)
% 8.04/8.21 Clause #2061 (by clausification #[2060]): Or (Eq (iLess0 (sbrdtbr0 xr) (sbrdtbr0 xu)) True) (Eq xr sz00)
% 8.04/8.21 Clause #2062 (by forward contextual literal cutting #[2061, 68]): Eq (iLess0 (sbrdtbr0 xr) (sbrdtbr0 xu)) True
% 8.04/8.21 Clause #2063 (by superposition #[2062, 1750]): Or (Eq True False) (Or (Eq (aElementOf0 xr xI) False) (Eq xr sz00))
% 8.04/8.21 Clause #2064 (by clausification #[2063]): Or (Eq (aElementOf0 xr xI) False) (Eq xr sz00)
% 8.04/8.21 Clause #2065 (by forward contextual literal cutting #[2064, 68]): Eq (aElementOf0 xr xI) False
% 8.04/8.21 Clause #2326 (by clausification #[54]): Eq (aElementOf0 xr xI) True
% 8.04/8.21 Clause #2328 (by superposition #[2326, 2065]): Eq True False
% 8.04/8.21 Clause #2329 (by clausification #[2328]): False
% 8.04/8.21 SZS output end Proof for theBenchmark.p
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