%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : LCL672+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_super_zenon -p0 -itptp -om -max-time %d %s

% Computer : n025.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 : Sun Jul 17 14:52:54 EDT 2022

% Result   : Theorem 0.18s 0.41s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL672+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul  5 01:21:57 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.41  % SZS status Theorem
% 0.18/0.41  (* PROOF-FOUND *)
% 0.18/0.41  (* BEGIN-PROOF *)
% 0.18/0.41  % SZS output start Proof
% 0.18/0.41  1. (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))   ### Axiom
% 0.18/0.41  2. (-. (r1 T_0 T_0))   ### Extension/test/reflexivity
% 0.18/0.41  3. (r1 T_0 T_1) (-. (r1 T_0 T_1))   ### Axiom
% 0.18/0.41  4. (-. (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))   ### Axiom
% 0.18/0.41  5. (-. (All X, ((-. (r1 T_1 X)) \/ (p1 X)))) (All X, ((-. (r1 T_1 X)) \/ (p1 X)))   ### Axiom
% 0.18/0.41  6. ((-. (r1 T_0 T_1)) \/ (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) /\ (-. (All X, ((-. (r1 T_1 X)) \/ (p1 X))))))) (-. (All X, ((-. (r1 T_1 X)) \/ (p1 X)))) (-. (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) (r1 T_0 T_1)   ### DisjTree 3 4 5
% 0.18/0.41  7. (All X, ((-. (r1 T_0 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))) (r1 T_0 T_1) (-. (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) (-. (All X, ((-. (r1 T_1 X)) \/ (p1 X))))   ### All 6
% 0.18/0.41  8. ((-. (r1 T_0 T_0)) \/ (All X, ((-. (r1 T_0 X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))) (-. (All X, ((-. (r1 T_1 X)) \/ (p1 X)))) (-. (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) (r1 T_0 T_1)   ### Or 2 7
% 0.18/0.41  9. (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))) (r1 T_0 T_1) (-. (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) (-. (All X, ((-. (r1 T_1 X)) \/ (p1 X))))   ### All 8
% 0.18/0.41  10. (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))   ### Axiom
% 0.18/0.41  11. (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (-. (All X, ((-. (r1 T_1 X)) \/ (p1 X)))) (-. (All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))) (r1 T_0 T_1) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))))   ### DisjTree 1 9 10
% 0.18/0.41  12. (-. ((-. (r1 T_0 T_1)) \/ ((All X, ((-. (r1 T_1 X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (All X, ((-. (r1 T_1 X)) \/ (p1 X)))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))))   ### ConjTree 11
% 0.18/0.41  13. (-. (All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (All X, ((-. (r1 Y X)) \/ (p1 X))))))) (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))))))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))) (-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))))   ### NotAllEx 12
% 0.18/0.41  14. (-. (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (All Y, ((-. (r1 T_0 Y)) \/ (p1 Y))))))))))   ### ConjTree 13
% 0.18/0.41  15. (Ex X, (-. (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))   ### Exists 14
% 0.18/0.41  16. (-. (-. (Ex X, (-. (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (p1 Y)))))))) /\ (p1 Y)))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y))))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ (p1 X)))))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) /\ ((-. (All Y, ((-. (r1 X Y)) \/ (-. (All X, ((-. (r1 Y X)) \/ False)))))) /\ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ ((All Y, ((-. (r1 X Y)) \/ (p2 Y))) \/ ((All Y, ((-. (r1 X Y)) \/ ((All X, ((-. (r1 Y X)) \/ (-. (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))) \/ (All X, ((-. (r1 Y X)) \/ (p1 X)))))) \/ (All Y, ((-. (r1 X Y)) \/ (p1 Y)))))))))))))   ### NotNot 15
% 0.18/0.41  % SZS output end Proof
% 0.18/0.41  (* END-PROOF *)
%------------------------------------------------------------------------------