TSTP Solution File: SEU844^5 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU844^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 16:44:07 EDT 2023
% Result : Theorem 6.97s 7.23s
% Output : Proof 6.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU844^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n027.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 : Wed Aug 23 20:33:32 EDT 2023
% 0.13/0.35 % CPUTime :
% 6.97/7.23 SZS status Theorem for theBenchmark.p
% 6.97/7.23 SZS output start Proof for theBenchmark.p
% 6.97/7.23 Clause #0 (by assumption #[]): Eq (Not ((∀ (S0 T0 : a → Prop), Eq S0 T0) → And (∀ (Xx : a), cS Xx → cT Xx) (∀ (Xx : a), cT Xx → cS Xx))) True
% 6.97/7.23 Clause #1 (by clausification #[0]): Eq ((∀ (S0 T0 : a → Prop), Eq S0 T0) → And (∀ (Xx : a), cS Xx → cT Xx) (∀ (Xx : a), cT Xx → cS Xx)) False
% 6.97/7.23 Clause #2 (by clausification #[1]): Eq (∀ (S0 T0 : a → Prop), Eq S0 T0) True
% 6.97/7.23 Clause #4 (by clausification #[2]): ∀ (a_1 : a → Prop), Eq (∀ (T0 : a → Prop), Eq a_1 T0) True
% 6.97/7.23 Clause #5 (by clausification #[4]): ∀ (a_1 a_2 : a → Prop), Eq (Eq a_1 a_2) True
% 6.97/7.23 Clause #6 (by clausification #[5]): ∀ (a_1 a_2 : a → Prop), Eq a_1 a_2
% 6.97/7.23 Clause #7 (by argument congruence #[6]): ∀ (a_1 : a → Prop) (a_2 : a) (a : a → Prop), Eq (a_1 a_2) (a a_2)
% 6.97/7.23 Clause #16 (by fluidSup #[7, 7]): ∀ (a_1 : Prop) (a_2 : a → Prop) (a_3 : a) (a_4 : a → Prop) (a : a), Eq ((fun _ => a_1) (a_2 a_3)) (a_4 a)
% 6.97/7.23 Clause #660 (by betaEtaReduce #[16]): ∀ (a_1 : Prop) (a_2 : a → Prop) (a : a), Eq a_1 (a_2 a)
% 6.97/7.23 Clause #747 (by fluidSup #[660, 660]): ∀ (a a_1 a_2 : Prop), Eq a ((fun _ => a_1) a_2)
% 6.97/7.23 Clause #1067 (by betaEtaReduce #[747]): ∀ (a a_1 : Prop), Eq a a_1
% 6.97/7.23 Clause #1070 (by falseElim #[1067]): False
% 6.97/7.23 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------