TSTP Solution File: NUM531+2 by Duper---1.0
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% File : Duper---1.0
% Problem : NUM531+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n002.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 10:56:07 EDT 2023
% Result : Theorem 3.54s 3.76s
% Output : Proof 3.54s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM531+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n002.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 : Fri Aug 25 15:03:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.54/3.76 SZS status Theorem for theBenchmark.p
% 3.54/3.76 SZS output start Proof for theBenchmark.p
% 3.54/3.76 Clause #5 (by assumption #[]): Eq (isFinite0 slcrc0) True
% 3.54/3.76 Clause #7 (by assumption #[]): Eq (∀ (W0 : Iota), And (aSet0 W0) (isCountable0 W0) → Not (isFinite0 W0)) True
% 3.54/3.76 Clause #8 (by assumption #[]): Eq
% 3.54/3.76 (Not
% 3.54/3.76 (∀ (W0 : Iota),
% 3.54/3.76 And (aSet0 W0) (isCountable0 W0) → Not (And (Not (Exists fun W1 => aElementOf0 W1 W0)) (Eq W0 slcrc0))))
% 3.54/3.76 True
% 3.54/3.76 Clause #23 (by clausification #[7]): ∀ (a : Iota), Eq (And (aSet0 a) (isCountable0 a) → Not (isFinite0 a)) True
% 3.54/3.76 Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (And (aSet0 a) (isCountable0 a)) False) (Eq (Not (isFinite0 a)) True)
% 3.54/3.76 Clause #25 (by clausification #[24]): ∀ (a : Iota), Or (Eq (Not (isFinite0 a)) True) (Or (Eq (aSet0 a) False) (Eq (isCountable0 a) False))
% 3.54/3.76 Clause #26 (by clausification #[25]): ∀ (a : Iota), Or (Eq (aSet0 a) False) (Or (Eq (isCountable0 a) False) (Eq (isFinite0 a) False))
% 3.54/3.76 Clause #46 (by clausification #[8]): Eq
% 3.54/3.76 (∀ (W0 : Iota),
% 3.54/3.76 And (aSet0 W0) (isCountable0 W0) → Not (And (Not (Exists fun W1 => aElementOf0 W1 W0)) (Eq W0 slcrc0)))
% 3.54/3.76 False
% 3.54/3.76 Clause #47 (by clausification #[46]): ∀ (a : Iota),
% 3.54/3.76 Eq
% 3.54/3.76 (Not
% 3.54/3.76 (And (aSet0 (skS.0 1 a)) (isCountable0 (skS.0 1 a)) →
% 3.54/3.76 Not (And (Not (Exists fun W1 => aElementOf0 W1 (skS.0 1 a))) (Eq (skS.0 1 a) slcrc0))))
% 3.54/3.76 True
% 3.54/3.76 Clause #48 (by clausification #[47]): ∀ (a : Iota),
% 3.54/3.76 Eq
% 3.54/3.76 (And (aSet0 (skS.0 1 a)) (isCountable0 (skS.0 1 a)) →
% 3.54/3.76 Not (And (Not (Exists fun W1 => aElementOf0 W1 (skS.0 1 a))) (Eq (skS.0 1 a) slcrc0)))
% 3.54/3.76 False
% 3.54/3.76 Clause #49 (by clausification #[48]): ∀ (a : Iota), Eq (And (aSet0 (skS.0 1 a)) (isCountable0 (skS.0 1 a))) True
% 3.54/3.76 Clause #50 (by clausification #[48]): ∀ (a : Iota), Eq (Not (And (Not (Exists fun W1 => aElementOf0 W1 (skS.0 1 a))) (Eq (skS.0 1 a) slcrc0))) False
% 3.54/3.76 Clause #51 (by clausification #[49]): ∀ (a : Iota), Eq (isCountable0 (skS.0 1 a)) True
% 3.54/3.76 Clause #52 (by clausification #[49]): ∀ (a : Iota), Eq (aSet0 (skS.0 1 a)) True
% 3.54/3.76 Clause #54 (by superposition #[52, 26]): ∀ (a : Iota), Or (Eq True False) (Or (Eq (isCountable0 (skS.0 1 a)) False) (Eq (isFinite0 (skS.0 1 a)) False))
% 3.54/3.76 Clause #58 (by clausification #[54]): ∀ (a : Iota), Or (Eq (isCountable0 (skS.0 1 a)) False) (Eq (isFinite0 (skS.0 1 a)) False)
% 3.54/3.76 Clause #59 (by superposition #[58, 51]): ∀ (a : Iota), Or (Eq (isFinite0 (skS.0 1 a)) False) (Eq False True)
% 3.54/3.76 Clause #60 (by clausification #[59]): ∀ (a : Iota), Eq (isFinite0 (skS.0 1 a)) False
% 3.54/3.76 Clause #62 (by clausification #[50]): ∀ (a : Iota), Eq (And (Not (Exists fun W1 => aElementOf0 W1 (skS.0 1 a))) (Eq (skS.0 1 a) slcrc0)) True
% 3.54/3.76 Clause #63 (by clausification #[62]): ∀ (a : Iota), Eq (Eq (skS.0 1 a) slcrc0) True
% 3.54/3.76 Clause #65 (by clausification #[63]): ∀ (a : Iota), Eq (skS.0 1 a) slcrc0
% 3.54/3.76 Clause #67 (by backward demodulation #[65, 60]): Eq (isFinite0 slcrc0) False
% 3.54/3.76 Clause #68 (by superposition #[67, 5]): Eq False True
% 3.54/3.76 Clause #69 (by clausification #[68]): False
% 3.54/3.76 SZS output end Proof for theBenchmark.p
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