TSTP Solution File: LCL656+1.001 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : LCL656+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 : n009.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 14:52:31 EDT 2022
% Result : Theorem 0.11s 0.38s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : LCL656+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jul 3 07:21:52 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.38 % SZS status Theorem
% 0.11/0.38 (* PROOF-FOUND *)
% 0.11/0.38 (* BEGIN-PROOF *)
% 0.11/0.38 % SZS output start Proof
% 0.11/0.38 1. (-. (r1 T_0 T_0)) ### Extension/test/reflexivity
% 0.11/0.38 2. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 0.11/0.38 3. (-. (p2 T_1)) (p2 T_1) ### Axiom
% 0.11/0.38 4. ((-. (r1 T_0 T_1)) \/ (p2 T_1)) (-. (p2 T_1)) (r1 T_0 T_1) ### Or 2 3
% 0.11/0.38 5. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) (r1 T_0 T_1) (-. (p2 T_1)) ### All 4
% 0.11/0.38 6. (-. ((-. (r1 T_0 T_1)) \/ (-. ((-. (p2 T_1)) /\ ((-. (p102 T_1)) /\ (p101 T_1)))))) (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) ### ConjTree 5
% 0.11/0.38 7. (-. (All X, ((-. (r1 T_0 X)) \/ (-. ((-. (p2 X)) /\ ((-. (p102 X)) /\ (p101 X))))))) (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) ### NotAllEx 6
% 0.11/0.38 8. ((-. (All X, ((-. (r1 T_0 X)) \/ (-. ((-. (p2 X)) /\ ((-. (p102 X)) /\ (p101 X))))))) /\ (-. (All X, ((-. (r1 T_0 X)) \/ (-. ((p2 X) /\ ((-. (p102 X)) /\ (p101 X)))))))) (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) ### And 7
% 0.11/0.38 9. (-. (p101 T_0)) (p101 T_0) ### Axiom
% 0.11/0.38 10. (p100 T_0) (-. (p100 T_0)) ### Axiom
% 0.11/0.38 11. (((-. (All X, ((-. (r1 T_0 X)) \/ (-. ((-. (p2 X)) /\ ((-. (p102 X)) /\ (p101 X))))))) /\ (-. (All X, ((-. (r1 T_0 X)) \/ (-. ((p2 X) /\ ((-. (p102 X)) /\ (p101 X)))))))) \/ (-. ((-. (p101 T_0)) /\ (p100 T_0)))) (p100 T_0) (-. (p101 T_0)) (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) ### DisjTree 8 9 10
% 0.11/0.38 12. ((((-. (All X, ((-. (r1 T_0 X)) \/ (-. ((-. (p2 X)) /\ ((-. (p102 X)) /\ (p101 X))))))) /\ (-. (All X, ((-. (r1 T_0 X)) \/ (-. ((p2 X) /\ ((-. (p102 X)) /\ (p101 X)))))))) \/ (-. ((-. (p101 T_0)) /\ (p100 T_0)))) /\ (((((All X, ((-. (r1 T_0 X)) \/ ((-. (p2 X)) \/ (-. (p101 X))))) \/ (p2 T_0)) /\ ((All X, ((-. (r1 T_0 X)) \/ ((p2 X) \/ (-. (p101 X))))) \/ (-. (p2 T_0)))) \/ (-. (p101 T_0))) /\ (((((All X, ((-. (r1 T_0 X)) \/ ((-. (p1 X)) \/ (-. (p100 X))))) \/ (p1 T_0)) /\ ((All X, ((-. (r1 T_0 X)) \/ ((p1 X) \/ (-. (p100 X))))) \/ (-. (p1 T_0)))) \/ (-. (p100 T_0))) /\ (((p101 T_0) \/ (-. (p102 T_0))) /\ ((p100 T_0) \/ (-. (p101 T_0))))))) (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) (-. (p101 T_0)) (p100 T_0) ### ConjTree 11
% 0.11/0.38 13. ((-. (r1 T_0 T_0)) \/ ((((-. (All X, ((-. (r1 T_0 X)) \/ (-. ((-. (p2 X)) /\ ((-. (p102 X)) /\ (p101 X))))))) /\ (-. (All X, ((-. (r1 T_0 X)) \/ (-. ((p2 X) /\ ((-. (p102 X)) /\ (p101 X)))))))) \/ (-. ((-. (p101 T_0)) /\ (p100 T_0)))) /\ (((((All X, ((-. (r1 T_0 X)) \/ ((-. (p2 X)) \/ (-. (p101 X))))) \/ (p2 T_0)) /\ ((All X, ((-. (r1 T_0 X)) \/ ((p2 X) \/ (-. (p101 X))))) \/ (-. (p2 T_0)))) \/ (-. (p101 T_0))) /\ (((((All X, ((-. (r1 T_0 X)) \/ ((-. (p1 X)) \/ (-. (p100 X))))) \/ (p1 T_0)) /\ ((All X, ((-. (r1 T_0 X)) \/ ((p1 X) \/ (-. (p100 X))))) \/ (-. (p1 T_0)))) \/ (-. (p100 T_0))) /\ (((p101 T_0) \/ (-. (p102 T_0))) /\ ((p100 T_0) \/ (-. (p101 T_0)))))))) (p100 T_0) (-. (p101 T_0)) (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) ### Or 1 12
% 0.11/0.38 14. (All Y, ((-. (r1 T_0 Y)) \/ ((((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (p2 X)) /\ ((-. (p102 X)) /\ (p101 X))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. ((p2 X) /\ ((-. (p102 X)) /\ (p101 X)))))))) \/ (-. ((-. (p101 Y)) /\ (p100 Y)))) /\ (((((All X, ((-. (r1 Y X)) \/ ((-. (p2 X)) \/ (-. (p101 X))))) \/ (p2 Y)) /\ ((All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (p101 X))))) \/ (-. (p2 Y)))) \/ (-. (p101 Y))) /\ (((((All X, ((-. (r1 Y X)) \/ ((-. (p1 X)) \/ (-. (p100 X))))) \/ (p1 Y)) /\ ((All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (p100 X))))) \/ (-. (p1 Y)))) \/ (-. (p100 Y))) /\ (((p101 Y) \/ (-. (p102 Y))) /\ ((p100 Y) \/ (-. (p101 Y))))))))) (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y))) (-. (p101 T_0)) (p100 T_0) ### All 13
% 0.11/0.38 15. (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (p2 Y)))) \/ (-. ((All Y, ((-. (r1 T_0 Y)) \/ ((((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (p2 X)) /\ ((-. (p102 X)) /\ (p101 X))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. ((p2 X) /\ ((-. (p102 X)) /\ (p101 X)))))))) \/ (-. ((-. (p101 Y)) /\ (p100 Y)))) /\ (((((All X, ((-. (r1 Y X)) \/ ((-. (p2 X)) \/ (-. (p101 X))))) \/ (p2 Y)) /\ ((All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (p101 X))))) \/ (-. (p2 Y)))) \/ (-. (p101 Y))) /\ (((((All X, ((-. (r1 Y X)) \/ ((-. (p1 X)) \/ (-. (p100 X))))) \/ (p1 Y)) /\ ((All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (p100 X))))) \/ (-. (p1 Y)))) \/ (-. (p100 Y))) /\ (((p101 Y) \/ (-. (p102 Y))) /\ ((p100 Y) \/ (-. (p101 Y))))))))) /\ ((-. (p101 T_0)) /\ (p100 T_0)))))) ### ConjTree 14
% 0.11/0.38 16. (Ex X, (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (p2 X)) /\ ((-. (p102 X)) /\ (p101 X))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. ((p2 X) /\ ((-. (p102 X)) /\ (p101 X)))))))) \/ (-. ((-. (p101 Y)) /\ (p100 Y)))) /\ (((((All X, ((-. (r1 Y X)) \/ ((-. (p2 X)) \/ (-. (p101 X))))) \/ (p2 Y)) /\ ((All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (p101 X))))) \/ (-. (p2 Y)))) \/ (-. (p101 Y))) /\ (((((All X, ((-. (r1 Y X)) \/ ((-. (p1 X)) \/ (-. (p100 X))))) \/ (p1 Y)) /\ ((All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (p100 X))))) \/ (-. (p1 Y)))) \/ (-. (p100 Y))) /\ (((p101 Y) \/ (-. (p102 Y))) /\ ((p100 Y) \/ (-. (p101 Y))))))))) /\ ((-. (p101 X)) /\ (p100 X))))))) ### Exists 15
% 0.11/0.38 17. (-. (-. (Ex X, (-. ((-. (All Y, ((-. (r1 X Y)) \/ (p2 Y)))) \/ (-. ((All Y, ((-. (r1 X Y)) \/ ((((-. (All X, ((-. (r1 Y X)) \/ (-. ((-. (p2 X)) /\ ((-. (p102 X)) /\ (p101 X))))))) /\ (-. (All X, ((-. (r1 Y X)) \/ (-. ((p2 X) /\ ((-. (p102 X)) /\ (p101 X)))))))) \/ (-. ((-. (p101 Y)) /\ (p100 Y)))) /\ (((((All X, ((-. (r1 Y X)) \/ ((-. (p2 X)) \/ (-. (p101 X))))) \/ (p2 Y)) /\ ((All X, ((-. (r1 Y X)) \/ ((p2 X) \/ (-. (p101 X))))) \/ (-. (p2 Y)))) \/ (-. (p101 Y))) /\ (((((All X, ((-. (r1 Y X)) \/ ((-. (p1 X)) \/ (-. (p100 X))))) \/ (p1 Y)) /\ ((All X, ((-. (r1 Y X)) \/ ((p1 X) \/ (-. (p100 X))))) \/ (-. (p1 Y)))) \/ (-. (p100 Y))) /\ (((p101 Y) \/ (-. (p102 Y))) /\ ((p100 Y) \/ (-. (p101 Y))))))))) /\ ((-. (p101 X)) /\ (p100 X))))))))) ### NotNot 16
% 0.11/0.38 % SZS output end Proof
% 0.11/0.38 (* END-PROOF *)
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