%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SYN373+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 : n023.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 12:43:05 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
% 0.00/0.12  % Problem  : SYN373+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 06:20:09 EDT 2022
% 0.12/0.33  % 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_p T_0)) (big_p T_0)   ### Axiom
% 0.20/0.39  2. (-. ((big_p T_0) => (big_q T_0))) (-. (big_p T_0))   ### NotImply 1
% 0.20/0.39  3. (-. (Ex X, ((big_p X) => (big_q X)))) (-. (big_p T_0))   ### NotExists 2
% 0.20/0.39  4. (-. (All X, (big_p X))) (-. (Ex X, ((big_p X) => (big_q X))))   ### NotAllEx 3
% 0.20/0.39  5. (big_q T_1) (-. (big_q T_1))   ### Axiom
% 0.20/0.39  6. (-. ((big_p T_1) => (big_q T_1))) (big_q T_1)   ### NotImply 5
% 0.20/0.39  7. (-. (Ex X, ((big_p X) => (big_q X)))) (big_q T_1)   ### NotExists 6
% 0.20/0.39  8. (Ex X, (big_q X)) (-. (Ex X, ((big_p X) => (big_q X))))   ### Exists 7
% 0.20/0.39  9. ((All X, (big_p X)) => (Ex X, (big_q X))) (-. (Ex X, ((big_p X) => (big_q X))))   ### Imply 4 8
% 0.20/0.39  10. (-. (big_p T_2)) (big_p T_2)   ### Axiom
% 0.20/0.39  11. (All X, (big_p X)) (-. (big_p T_2))   ### All 10
% 0.20/0.39  12. (big_q T_2) (-. (big_q T_2))   ### Axiom
% 0.20/0.39  13. (-. (Ex X, (big_q X))) (big_q T_2)   ### NotExists 12
% 0.20/0.39  14. ((big_p T_2) => (big_q T_2)) (-. (Ex X, (big_q X))) (All X, (big_p X))   ### Imply 11 13
% 0.20/0.39  15. (-. ((All X, (big_p X)) => (Ex X, (big_q X)))) ((big_p T_2) => (big_q T_2))   ### NotImply 14
% 0.20/0.39  16. (Ex X, ((big_p X) => (big_q X))) (-. ((All X, (big_p X)) => (Ex X, (big_q X))))   ### Exists 15
% 0.20/0.39  17. (-. ((Ex X, ((big_p X) => (big_q X))) <=> ((All X, (big_p X)) => (Ex X, (big_q X)))))   ### NotEquiv 9 16
% 0.20/0.39  % SZS output end Proof
% 0.20/0.39  (* END-PROOF *)
%------------------------------------------------------------------------------