TSTP Solution File: NUM610+3 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM610+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n015.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 10:56:29 EDT 2023
% Result : Theorem 7.97s 8.18s
% Output : Proof 7.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM610+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 11:16:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 7.97/8.18 SZS status Theorem for theBenchmark.p
% 7.97/8.18 SZS output start Proof for theBenchmark.p
% 7.97/8.18 Clause #98 (by assumption #[]): Eq
% 7.97/8.18 (And (∀ (W0 : Iota), aElementOf0 W0 xQ → aElementOf0 W0 xO)
% 7.97/8.18 (Not (Or (Not (Exists fun W0 => aElementOf0 W0 xQ)) (Eq xQ slcrc0))))
% 7.97/8.18 True
% 7.97/8.18 Clause #105 (by assumption #[]): Eq (And (∀ (W0 : Iota), aElementOf0 W0 xP → aElementOf0 W0 xQ) (aSubsetOf0 xP xQ)) True
% 7.97/8.18 Clause #106 (by assumption #[]): Eq (Not (Or (∀ (W0 : Iota), aElementOf0 W0 xP → aElementOf0 W0 xO) (aSubsetOf0 xP xO))) True
% 7.97/8.18 Clause #1276 (by clausification #[105]): Eq (∀ (W0 : Iota), aElementOf0 W0 xP → aElementOf0 W0 xQ) True
% 7.97/8.18 Clause #1279 (by clausification #[1276]): ∀ (a : Iota), Eq (aElementOf0 a xP → aElementOf0 a xQ) True
% 7.97/8.18 Clause #1280 (by clausification #[1279]): ∀ (a : Iota), Or (Eq (aElementOf0 a xP) False) (Eq (aElementOf0 a xQ) True)
% 7.97/8.18 Clause #1828 (by clausification #[106]): Eq (Or (∀ (W0 : Iota), aElementOf0 W0 xP → aElementOf0 W0 xO) (aSubsetOf0 xP xO)) False
% 7.97/8.18 Clause #1830 (by clausification #[1828]): Eq (∀ (W0 : Iota), aElementOf0 W0 xP → aElementOf0 W0 xO) False
% 7.97/8.18 Clause #1831 (by clausification #[1830]): ∀ (a : Iota), Eq (Not (aElementOf0 (skS.0 22 a) xP → aElementOf0 (skS.0 22 a) xO)) True
% 7.97/8.18 Clause #1832 (by clausification #[1831]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 22 a) xP → aElementOf0 (skS.0 22 a) xO) False
% 7.97/8.18 Clause #1833 (by clausification #[1832]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 22 a) xP) True
% 7.97/8.18 Clause #1834 (by clausification #[1832]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 22 a) xO) False
% 7.97/8.18 Clause #1835 (by superposition #[1833, 1280]): ∀ (a : Iota), Or (Eq True False) (Eq (aElementOf0 (skS.0 22 a) xQ) True)
% 7.97/8.18 Clause #1836 (by clausification #[1835]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 22 a) xQ) True
% 7.97/8.18 Clause #2153 (by clausification #[98]): Eq (∀ (W0 : Iota), aElementOf0 W0 xQ → aElementOf0 W0 xO) True
% 7.97/8.18 Clause #2158 (by clausification #[2153]): ∀ (a : Iota), Eq (aElementOf0 a xQ → aElementOf0 a xO) True
% 7.97/8.18 Clause #2159 (by clausification #[2158]): ∀ (a : Iota), Or (Eq (aElementOf0 a xQ) False) (Eq (aElementOf0 a xO) True)
% 7.97/8.18 Clause #2161 (by superposition #[2159, 1836]): ∀ (a : Iota), Or (Eq (aElementOf0 (skS.0 22 a) xO) True) (Eq False True)
% 7.97/8.18 Clause #2180 (by clausification #[2161]): ∀ (a : Iota), Eq (aElementOf0 (skS.0 22 a) xO) True
% 7.97/8.18 Clause #2181 (by superposition #[2180, 1834]): Eq True False
% 7.97/8.18 Clause #2184 (by clausification #[2181]): False
% 7.97/8.18 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------