%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SYN078+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 12:40:57 EDT 2022

% Result   : Theorem 0.18s 0.38s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN078+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.11/0.33  % Computer : n023.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Mon Jul 11 12:34:54 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.38  % SZS status Theorem
% 0.18/0.38  (* PROOF-FOUND *)
% 0.18/0.38  (* BEGIN-PROOF *)
% 0.18/0.38  % SZS output start Proof
% 0.18/0.38  1. (big_p T_0) (-. (big_p T_0))   ### Axiom
% 0.18/0.38  2. (T_1 = (f T_0)) ((f T_0) != T_1)   ### Sym(=)
% 0.18/0.38  3. (-. (big_p T_1)) (big_p (f T_0)) (T_1 = (f T_0))   ### P-NotP 2
% 0.18/0.38  4. ((big_p T_0) => (big_p (f T_0))) (T_1 = (f T_0)) (-. (big_p T_1)) (big_p T_0)   ### Imply 1 3
% 0.18/0.38  5. (All U, ((big_p U) => (big_p (f U)))) (big_p T_0) (-. (big_p T_1)) (T_1 = (f T_0))   ### All 4
% 0.18/0.38  6. ((big_p T_0) /\ (T_1 = (f T_0))) (-. (big_p T_1)) (All U, ((big_p U) => (big_p (f U))))   ### And 5
% 0.18/0.38  7. (Ex Y, ((big_p Y) /\ (T_1 = (f Y)))) (All U, ((big_p U) => (big_p (f U)))) (-. (big_p T_1))   ### Exists 6
% 0.18/0.38  8. (-. ((Ex Y, ((big_p Y) /\ (T_1 = (f Y)))) => (big_p T_1))) (All U, ((big_p U) => (big_p (f U))))   ### NotImply 7
% 0.18/0.38  9. (-. (All X, ((Ex Y, ((big_p Y) /\ (X = (f Y)))) => (big_p X)))) (All U, ((big_p U) => (big_p (f U))))   ### NotAllEx 8
% 0.18/0.38  10. (big_p T_2) (-. (big_p T_2))   ### Axiom
% 0.18/0.38  11. ((f T_2) != (f T_2))   ### Refl(=)
% 0.18/0.38  12. (-. ((big_p T_2) /\ ((f T_2) = (f T_2)))) (big_p T_2)   ### NotAnd 10 11
% 0.18/0.38  13. (-. (Ex Y, ((big_p Y) /\ ((f T_2) = (f Y))))) (big_p T_2)   ### NotExists 12
% 0.18/0.38  14. (-. (big_p (f T_2))) (big_p (f T_2))   ### Axiom
% 0.18/0.38  15. ((Ex Y, ((big_p Y) /\ ((f T_2) = (f Y)))) => (big_p (f T_2))) (-. (big_p (f T_2))) (big_p T_2)   ### Imply 13 14
% 0.18/0.38  16. (All X, ((Ex Y, ((big_p Y) /\ (X = (f Y)))) => (big_p X))) (big_p T_2) (-. (big_p (f T_2)))   ### All 15
% 0.18/0.38  17. (-. ((big_p T_2) => (big_p (f T_2)))) (All X, ((Ex Y, ((big_p Y) /\ (X = (f Y)))) => (big_p X)))   ### NotImply 16
% 0.18/0.38  18. (-. (All U, ((big_p U) => (big_p (f U))))) (All X, ((Ex Y, ((big_p Y) /\ (X = (f Y)))) => (big_p X)))   ### NotAllEx 17
% 0.18/0.38  19. (-. ((All X, ((Ex Y, ((big_p Y) /\ (X = (f Y)))) => (big_p X))) <=> (All U, ((big_p U) => (big_p (f U))))))   ### NotEquiv 9 18
% 0.18/0.38  % SZS output end Proof
% 0.18/0.38  (* END-PROOF *)
%------------------------------------------------------------------------------