TSTP Solution File: SEU967^5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU967^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n006.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 16:44:25 EDT 2023
% Result : Theorem 4.28s 4.49s
% Output : Proof 4.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU967^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 23 19:38:23 EDT 2023
% 0.15/0.35 % CPUTime :
% 4.28/4.49 SZS status Theorem for theBenchmark.p
% 4.28/4.49 SZS output start Proof for theBenchmark.p
% 4.28/4.49 Clause #0 (by assumption #[]): Eq
% 4.28/4.49 (Not
% 4.28/4.49 (Not
% 4.28/4.49 (∀ (Xm_5 : (Iota → Iota) → Iota → Prop),
% 4.28/4.49 And
% 4.28/4.49 (And (Exists fun Xw_2 => Xm_5 (cG_0 fun Xw_1144 => Exists fun Xw_20 => Xm_5 Xw_1144 Xw_20) Xw_2)
% 4.28/4.49 (Exists fun Xw_2 => Xm_5 (cH_0 fun Xw_1144 => Exists fun Xw_20 => Xm_5 Xw_1144 Xw_20) Xw_2))
% 4.28/4.49 (Or
% 4.28/4.49 (Not
% 4.28/4.49 (Exists fun Xw_2 =>
% 4.28/4.49 Xm_5
% 4.28/4.49 (fun Xx =>
% 4.28/4.49 cG_0 (fun Xw_1144 => Exists fun Xw_20 => Xm_5 Xw_1144 Xw_20)
% 4.28/4.49 (cH_0 (fun Xw_1144 => Exists fun Xw_20 => Xm_5 Xw_1144 Xw_20) Xx))
% 4.28/4.49 Xw_2))
% 4.28/4.49 (And (cP_0 (cY_0 fun Xw_1144 => Exists fun Xw_2 => Xm_5 Xw_1144 Xw_2))
% 4.28/4.49 (Not
% 4.28/4.49 (cP_0
% 4.28/4.49 (cG_0 (fun Xw_1144 => Exists fun Xw_2 => Xm_5 Xw_1144 Xw_2)
% 4.28/4.49 (cY_0 fun Xw_1144 => Exists fun Xw_2 => Xm_5 Xw_1144 Xw_2)))))))))
% 4.28/4.49 True
% 4.28/4.49 Clause #1 (by betaEtaReduce #[0]): Eq
% 4.28/4.49 (Not
% 4.28/4.49 (Not
% 4.28/4.49 (∀ (Xm_5 : (Iota → Iota) → Iota → Prop),
% 4.28/4.49 And
% 4.28/4.49 (And (Exists (Xm_5 (cG_0 fun Xw_1144 => Exists (Xm_5 Xw_1144))))
% 4.28/4.49 (Exists (Xm_5 (cH_0 fun Xw_1144 => Exists (Xm_5 Xw_1144)))))
% 4.28/4.49 (Or
% 4.28/4.49 (Not
% 4.28/4.49 (Exists
% 4.28/4.49 (Xm_5 fun Xx =>
% 4.28/4.49 cG_0 (fun Xw_1144 => Exists (Xm_5 Xw_1144)) (cH_0 (fun Xw_1144 => Exists (Xm_5 Xw_1144)) Xx))))
% 4.28/4.49 (And (cP_0 (cY_0 fun Xw_1144 => Exists (Xm_5 Xw_1144)))
% 4.28/4.49 (Not
% 4.28/4.49 (cP_0 (cG_0 (fun Xw_1144 => Exists (Xm_5 Xw_1144)) (cY_0 fun Xw_1144 => Exists (Xm_5 Xw_1144))))))))))
% 4.28/4.49 True
% 4.28/4.49 Clause #2 (by clausification #[1]): Eq
% 4.28/4.49 (Not
% 4.28/4.49 (∀ (Xm_5 : (Iota → Iota) → Iota → Prop),
% 4.28/4.49 And
% 4.28/4.49 (And (Exists (Xm_5 (cG_0 fun Xw_1144 => Exists (Xm_5 Xw_1144))))
% 4.28/4.49 (Exists (Xm_5 (cH_0 fun Xw_1144 => Exists (Xm_5 Xw_1144)))))
% 4.28/4.49 (Or
% 4.28/4.49 (Not
% 4.28/4.49 (Exists
% 4.28/4.49 (Xm_5 fun Xx =>
% 4.28/4.49 cG_0 (fun Xw_1144 => Exists (Xm_5 Xw_1144)) (cH_0 (fun Xw_1144 => Exists (Xm_5 Xw_1144)) Xx))))
% 4.28/4.49 (And (cP_0 (cY_0 fun Xw_1144 => Exists (Xm_5 Xw_1144)))
% 4.28/4.49 (Not (cP_0 (cG_0 (fun Xw_1144 => Exists (Xm_5 Xw_1144)) (cY_0 fun Xw_1144 => Exists (Xm_5 Xw_1144)))))))))
% 4.28/4.49 False
% 4.28/4.49 Clause #3 (by clausification #[2]): Eq
% 4.28/4.49 (∀ (Xm_5 : (Iota → Iota) → Iota → Prop),
% 4.28/4.49 And
% 4.28/4.49 (And (Exists (Xm_5 (cG_0 fun Xw_1144 => Exists (Xm_5 Xw_1144))))
% 4.28/4.49 (Exists (Xm_5 (cH_0 fun Xw_1144 => Exists (Xm_5 Xw_1144)))))
% 4.28/4.49 (Or
% 4.28/4.49 (Not
% 4.28/4.49 (Exists
% 4.28/4.49 (Xm_5 fun Xx =>
% 4.28/4.49 cG_0 (fun Xw_1144 => Exists (Xm_5 Xw_1144)) (cH_0 (fun Xw_1144 => Exists (Xm_5 Xw_1144)) Xx))))
% 4.28/4.49 (And (cP_0 (cY_0 fun Xw_1144 => Exists (Xm_5 Xw_1144)))
% 4.28/4.49 (Not (cP_0 (cG_0 (fun Xw_1144 => Exists (Xm_5 Xw_1144)) (cY_0 fun Xw_1144 => Exists (Xm_5 Xw_1144))))))))
% 4.28/4.49 True
% 4.28/4.49 Clause #4 (by clausification #[3]): ∀ (a : (Iota → Iota) → Iota → Prop),
% 4.28/4.49 Eq
% 4.28/4.49 (And
% 4.28/4.49 (And (Exists (a (cG_0 fun Xw_1144 => Exists (a Xw_1144)))) (Exists (a (cH_0 fun Xw_1144 => Exists (a Xw_1144)))))
% 4.28/4.49 (Or
% 4.28/4.49 (Not
% 4.28/4.49 (Exists (a fun Xx => cG_0 (fun Xw_1144 => Exists (a Xw_1144)) (cH_0 (fun Xw_1144 => Exists (a Xw_1144)) Xx))))
% 4.28/4.49 (And (cP_0 (cY_0 fun Xw_1144 => Exists (a Xw_1144)))
% 4.28/4.49 (Not (cP_0 (cG_0 (fun Xw_1144 => Exists (a Xw_1144)) (cY_0 fun Xw_1144 => Exists (a Xw_1144))))))))
% 4.28/4.49 True
% 4.28/4.49 Clause #6 (by clausification #[4]): ∀ (a : (Iota → Iota) → Iota → Prop),
% 4.28/4.49 Eq (And (Exists (a (cG_0 fun Xw_1144 => Exists (a Xw_1144)))) (Exists (a (cH_0 fun Xw_1144 => Exists (a Xw_1144)))))
% 4.28/4.49 True
% 4.28/4.49 Clause #21 (by clausification #[6]): ∀ (a : (Iota → Iota) → Iota → Prop), Eq (Exists (a (cG_0 fun Xw_1144 => Exists (a Xw_1144)))) True
% 4.28/4.49 Clause #36 (by clausification #[21]): ∀ (a : (Iota → Iota) → Iota → Prop) (a_1 : Iota), Eq (a (cG_0 fun Xw_1144 => Exists (a Xw_1144)) (skS.0 1 a a_1)) True
% 4.28/4.49 Clause #52 (by fluidBoolHoist #[36]): ∀ (a : Iota → Prop) (a_1 : Iota),
% 4.28/4.49 Or (Eq ((fun Xw_1144 x => a x) (cG_0 fun Xw_1144 => False) (skS.0 1 (fun Xw_1144 x => a x) a_1)) True)
% 4.28/4.50 (Eq (Exists a) True)
% 4.28/4.50 Clause #125 (by betaEtaReduce #[52]): ∀ (a : Iota → Prop) (a_1 : Iota), Or (Eq (a (skS.0 1 (fun Xw_1144 x => a x) a_1)) True) (Eq (Exists a) True)
% 4.28/4.50 Clause #126 (by clausification #[125]): ∀ (a : Iota → Prop) (a_1 a_2 : Iota),
% 4.28/4.50 Or (Eq (a (skS.0 1 (fun Xw_1144 x => a x) a_1)) True) (Eq (a (skS.0 2 a a_2)) True)
% 4.28/4.50 Clause #129 (by equality factoring #[126]): ∀ (a : Prop) (a_1 : Iota), Or (Ne True True) (Eq ((fun x => a) (skS.0 2 (fun x => a) a_1)) True)
% 4.28/4.50 Clause #193 (by betaEtaReduce #[129]): ∀ (a : Prop), Or (Ne True True) (Eq a True)
% 4.28/4.50 Clause #194 (by clausification #[193]): ∀ (a : Prop), Or (Eq a True) (Or (Eq True False) (Eq True False))
% 4.28/4.50 Clause #196 (by clausification #[194]): ∀ (a : Prop), Or (Eq a True) (Eq True False)
% 4.28/4.50 Clause #197 (by clausification #[196]): ∀ (a : Prop), Eq a True
% 4.28/4.50 Clause #199 (by falseElim #[197]): False
% 4.28/4.50 SZS output end Proof for theBenchmark.p
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