TSTP Solution File: SYN082+1 by SuperZenon---0.0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SYN082+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_super_zenon -p0 -itptp -om -max-time %d %s

% Computer : n017.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  : 600s
% DateTime : Thu Jul 21 12:41:00 EDT 2022

% Result   : Theorem 0.20s 0.39s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN082+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 19:18:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.39  % SZS status Theorem
% 0.20/0.39  (* PROOF-FOUND *)
% 0.20/0.39  (* BEGIN-PROOF *)
% 0.20/0.39  % SZS output start Proof
% 0.20/0.39  1. (big_f T_0 T_1) (-. (big_f T_0 T_1))   ### Axiom
% 0.20/0.39  2. (-. (big_f T_0 (f T_0))) (big_f T_0 (f T_0))   ### Axiom
% 0.20/0.39  3. ((big_f T_0 T_1) => (big_f T_0 (f T_0))) (-. (big_f T_0 (f T_0))) (big_f T_0 T_1)   ### Imply 1 2
% 0.20/0.39  4. (All Z, ((big_f Z T_1) => (big_f Z (f T_0)))) (big_f T_0 T_1) (-. (big_f T_0 (f T_0)))   ### All 3
% 0.20/0.39  5. ((All Z, ((big_f Z T_1) => (big_f Z (f T_0)))) /\ (big_f T_0 T_1)) (-. (big_f T_0 (f T_0)))   ### And 4
% 0.20/0.39  6. (Ex Y, ((All Z, ((big_f Z Y) => (big_f Z (f T_0)))) /\ (big_f T_0 Y))) (-. (big_f T_0 (f T_0)))   ### Exists 5
% 0.20/0.39  7. (-. (big_f T_2 (f T_0))) (big_f T_2 (f T_0))   ### Axiom
% 0.20/0.39  8. (-. ((big_f T_2 (f T_0)) => (big_f T_2 (f T_0))))   ### NotImply 7
% 0.20/0.39  9. (-. (All Z, ((big_f Z (f T_0)) => (big_f Z (f T_0)))))   ### NotAllEx 8
% 0.20/0.39  10. (big_f T_0 (f T_0)) (-. (big_f T_0 (f T_0)))   ### Axiom
% 0.20/0.39  11. (-. ((All Z, ((big_f Z (f T_0)) => (big_f Z (f T_0)))) /\ (big_f T_0 (f T_0)))) (big_f T_0 (f T_0))   ### NotAnd 9 10
% 0.20/0.39  12. (-. (Ex Y, ((All Z, ((big_f Z Y) => (big_f Z (f T_0)))) /\ (big_f T_0 Y)))) (big_f T_0 (f T_0))   ### NotExists 11
% 0.20/0.39  13. (-. ((big_f T_0 (f T_0)) <=> (Ex Y, ((All Z, ((big_f Z Y) => (big_f Z (f T_0)))) /\ (big_f T_0 Y)))))   ### NotEquiv 6 12
% 0.20/0.39  14. (-. (All X, ((big_f X (f X)) <=> (Ex Y, ((All Z, ((big_f Z Y) => (big_f Z (f X)))) /\ (big_f X Y))))))   ### NotAllEx 13
% 0.20/0.39  % SZS output end Proof
% 0.20/0.39  (* END-PROOF *)
%------------------------------------------------------------------------------