TSTP Solution File: NUM531+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM531+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n028.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 3.49s 3.76s
% Output : Proof 3.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM531+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 15:37:06 EDT 2023
% 0.14/0.34 % CPUTime :
% 3.49/3.76 SZS status Theorem for theBenchmark.p
% 3.49/3.76 SZS output start Proof for theBenchmark.p
% 3.49/3.76 Clause #5 (by assumption #[]): Eq (isFinite0 slcrc0) True
% 3.49/3.76 Clause #7 (by assumption #[]): Eq (∀ (W0 : Iota), And (aSet0 W0) (isCountable0 W0) → Not (isFinite0 W0)) True
% 3.49/3.76 Clause #8 (by assumption #[]): Eq (Not (∀ (W0 : Iota), And (aSet0 W0) (isCountable0 W0) → Ne W0 slcrc0)) True
% 3.49/3.76 Clause #23 (by clausification #[7]): ∀ (a : Iota), Eq (And (aSet0 a) (isCountable0 a) → Not (isFinite0 a)) True
% 3.49/3.76 Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (And (aSet0 a) (isCountable0 a)) False) (Eq (Not (isFinite0 a)) True)
% 3.49/3.76 Clause #25 (by clausification #[24]): ∀ (a : Iota), Or (Eq (Not (isFinite0 a)) True) (Or (Eq (aSet0 a) False) (Eq (isCountable0 a) False))
% 3.49/3.76 Clause #26 (by clausification #[25]): ∀ (a : Iota), Or (Eq (aSet0 a) False) (Or (Eq (isCountable0 a) False) (Eq (isFinite0 a) False))
% 3.49/3.76 Clause #27 (by clausification #[8]): Eq (∀ (W0 : Iota), And (aSet0 W0) (isCountable0 W0) → Ne W0 slcrc0) False
% 3.49/3.76 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (Not (And (aSet0 (skS.0 0 a)) (isCountable0 (skS.0 0 a)) → Ne (skS.0 0 a) slcrc0)) True
% 3.49/3.76 Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (And (aSet0 (skS.0 0 a)) (isCountable0 (skS.0 0 a)) → Ne (skS.0 0 a) slcrc0) False
% 3.49/3.76 Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (And (aSet0 (skS.0 0 a)) (isCountable0 (skS.0 0 a))) True
% 3.49/3.76 Clause #31 (by clausification #[29]): ∀ (a : Iota), Eq (Ne (skS.0 0 a) slcrc0) False
% 3.49/3.76 Clause #32 (by clausification #[30]): ∀ (a : Iota), Eq (isCountable0 (skS.0 0 a)) True
% 3.49/3.76 Clause #33 (by clausification #[30]): ∀ (a : Iota), Eq (aSet0 (skS.0 0 a)) True
% 3.49/3.76 Clause #36 (by clausification #[31]): ∀ (a : Iota), Eq (skS.0 0 a) slcrc0
% 3.49/3.76 Clause #37 (by backward demodulation #[36, 32]): Eq (isCountable0 slcrc0) True
% 3.49/3.76 Clause #38 (by backward demodulation #[36, 33]): Eq (aSet0 slcrc0) True
% 3.49/3.76 Clause #40 (by superposition #[38, 26]): Or (Eq True False) (Or (Eq (isCountable0 slcrc0) False) (Eq (isFinite0 slcrc0) False))
% 3.49/3.76 Clause #49 (by clausification #[40]): Or (Eq (isCountable0 slcrc0) False) (Eq (isFinite0 slcrc0) False)
% 3.49/3.76 Clause #50 (by forward demodulation #[49, 5]): Or (Eq (isCountable0 slcrc0) False) (Eq True False)
% 3.49/3.76 Clause #51 (by clausification #[50]): Eq (isCountable0 slcrc0) False
% 3.49/3.76 Clause #52 (by superposition #[51, 37]): Eq False True
% 3.49/3.76 Clause #53 (by clausification #[52]): False
% 3.49/3.76 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------