TSTP Solution File: SYN361^5 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYN361^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 : Fri Sep 1 02:11:25 EDT 2023
% Result : Theorem 3.42s 3.61s
% Output : Proof 3.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN361^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n018.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 : Sat Aug 26 17:15:30 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.42/3.61 SZS status Theorem for theBenchmark.p
% 3.42/3.61 SZS output start Proof for theBenchmark.p
% 3.42/3.61 Clause #0 (by assumption #[]): Eq
% 3.42/3.61 (Not
% 3.42/3.61 (And (And (Exists fun Xv => ∀ (Xx : Iota), cP Xx Xv) (∀ (Xx : Iota), cS Xx → Exists fun Xy => cQ Xy Xx))
% 3.42/3.61 (∀ (Xx Xy : Iota), cP Xx Xy → Not (cQ Xx Xy)) →
% 3.42/3.61 Exists fun Xu => Not (cS Xu)))
% 3.42/3.61 True
% 3.42/3.61 Clause #1 (by clausification #[0]): Eq
% 3.42/3.61 (And (And (Exists fun Xv => ∀ (Xx : Iota), cP Xx Xv) (∀ (Xx : Iota), cS Xx → Exists fun Xy => cQ Xy Xx))
% 3.42/3.61 (∀ (Xx Xy : Iota), cP Xx Xy → Not (cQ Xx Xy)) →
% 3.42/3.61 Exists fun Xu => Not (cS Xu))
% 3.42/3.61 False
% 3.42/3.61 Clause #2 (by clausification #[1]): Eq
% 3.42/3.61 (And (And (Exists fun Xv => ∀ (Xx : Iota), cP Xx Xv) (∀ (Xx : Iota), cS Xx → Exists fun Xy => cQ Xy Xx))
% 3.42/3.61 (∀ (Xx Xy : Iota), cP Xx Xy → Not (cQ Xx Xy)))
% 3.42/3.61 True
% 3.42/3.61 Clause #3 (by clausification #[1]): Eq (Exists fun Xu => Not (cS Xu)) False
% 3.42/3.61 Clause #4 (by clausification #[2]): Eq (∀ (Xx Xy : Iota), cP Xx Xy → Not (cQ Xx Xy)) True
% 3.42/3.61 Clause #5 (by clausification #[2]): Eq (And (Exists fun Xv => ∀ (Xx : Iota), cP Xx Xv) (∀ (Xx : Iota), cS Xx → Exists fun Xy => cQ Xy Xx)) True
% 3.42/3.61 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Xy : Iota), cP a Xy → Not (cQ a Xy)) True
% 3.42/3.61 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (cP a a_1 → Not (cQ a a_1)) True
% 3.42/3.61 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (cP a a_1) False) (Eq (Not (cQ a a_1)) True)
% 3.42/3.61 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (cP a a_1) False) (Eq (cQ a a_1) False)
% 3.42/3.61 Clause #10 (by clausification #[3]): ∀ (a : Iota), Eq (Not (cS a)) False
% 3.42/3.61 Clause #11 (by clausification #[10]): ∀ (a : Iota), Eq (cS a) True
% 3.42/3.61 Clause #12 (by clausification #[5]): Eq (∀ (Xx : Iota), cS Xx → Exists fun Xy => cQ Xy Xx) True
% 3.42/3.61 Clause #13 (by clausification #[5]): Eq (Exists fun Xv => ∀ (Xx : Iota), cP Xx Xv) True
% 3.42/3.61 Clause #14 (by clausification #[12]): ∀ (a : Iota), Eq (cS a → Exists fun Xy => cQ Xy a) True
% 3.42/3.61 Clause #15 (by clausification #[14]): ∀ (a : Iota), Or (Eq (cS a) False) (Eq (Exists fun Xy => cQ Xy a) True)
% 3.42/3.61 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (cS a) False) (Eq (cQ (skS.0 0 a a_1) a) True)
% 3.42/3.61 Clause #17 (by forward demodulation #[16, 11]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (cQ (skS.0 0 a a_1) a) True)
% 3.42/3.61 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Eq (cQ (skS.0 0 a a_1) a) True
% 3.42/3.61 Clause #19 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (Xx : Iota), cP Xx (skS.0 1 a)) True
% 3.42/3.61 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (cP a (skS.0 1 a_1)) True
% 3.42/3.61 Clause #21 (by superposition #[20, 9]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (cQ a (skS.0 1 a_1)) False)
% 3.42/3.61 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Eq (cQ a (skS.0 1 a_1)) False
% 3.42/3.61 Clause #23 (by superposition #[22, 18]): Eq False True
% 3.42/3.61 Clause #24 (by clausification #[23]): False
% 3.42/3.61 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------