TSTP Solution File: LCL682+1.001 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : LCL682+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 : n008.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 14:53:09 EDT 2022
% Result : Theorem 0.18s 0.39s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL682+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.11/0.33 % Computer : n008.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 : Sun Jul 3 01:01:23 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.39 % SZS status Theorem
% 0.18/0.39 (* PROOF-FOUND *)
% 0.18/0.39 (* BEGIN-PROOF *)
% 0.18/0.39 % SZS output start Proof
% 0.18/0.39 1. (r1 T_0 T_1) (-. (r1 T_0 T_1)) ### Axiom
% 0.18/0.39 2. (-. (All X, ((-. (r1 T_1 X)) \/ (p12 X)))) (All X, ((-. (r1 T_1 X)) \/ (p12 X))) ### Axiom
% 0.18/0.39 3. (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (p16 X)))) \/ ((-. (All X, ((-. (r1 T_1 X)) \/ (p12 X)))) \/ ((-. (All X, ((-. (r1 T_1 X)) \/ (p14 X)))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (p12 X)))))))) (-. (All X, ((-. (r1 T_1 X)) \/ (p12 X)))) ### ConjTree 2
% 0.18/0.39 4. ((-. (r1 T_0 T_1)) \/ (-. ((-. (All X, ((-. (r1 T_1 X)) \/ (p16 X)))) \/ ((-. (All X, ((-. (r1 T_1 X)) \/ (p12 X)))) \/ ((-. (All X, ((-. (r1 T_1 X)) \/ (p14 X)))) \/ (-. (All X, ((-. (r1 T_1 X)) \/ (p12 X))))))))) (-. (All X, ((-. (r1 T_1 X)) \/ (p12 X)))) (r1 T_0 T_1) ### Or 1 3
% 0.18/0.39 5. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p16 X)))) \/ ((-. (All X, ((-. (r1 Y X)) \/ (p12 X)))) \/ ((-. (All X, ((-. (r1 Y X)) \/ (p14 X)))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p12 X)))))))))) (r1 T_0 T_1) (-. (All X, ((-. (r1 T_1 X)) \/ (p12 X)))) ### All 4
% 0.18/0.39 6. (-. (-. (r1 T_0 T_1))) (-. (All X, ((-. (r1 T_1 X)) \/ (p12 X)))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p16 X)))) \/ ((-. (All X, ((-. (r1 Y X)) \/ (p12 X)))) \/ ((-. (All X, ((-. (r1 Y X)) \/ (p14 X)))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p12 X)))))))))) ### NotNot 5
% 0.18/0.39 7. (-. ((-. (r1 T_0 T_1)) \/ (All X, ((-. (r1 T_1 X)) \/ (p12 X))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p16 X)))) \/ ((-. (All X, ((-. (r1 Y X)) \/ (p12 X)))) \/ ((-. (All X, ((-. (r1 Y X)) \/ (p14 X)))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p12 X)))))))))) ### NotOr 6
% 0.18/0.39 8. (-. (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (p12 X)))))) (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p16 X)))) \/ ((-. (All X, ((-. (r1 Y X)) \/ (p12 X)))) \/ ((-. (All X, ((-. (r1 Y X)) \/ (p14 X)))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p12 X)))))))))) ### NotAllEx 7
% 0.18/0.39 9. (-. ((-. (All Y, ((-. (r1 T_0 Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p16 X)))) \/ ((-. (All X, ((-. (r1 Y X)) \/ (p12 X)))) \/ ((-. (All X, ((-. (r1 Y X)) \/ (p14 X)))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p12 X))))))))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (p15 X))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (p13 X))))) \/ ((All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (p12 X))))) \/ (All Y, ((-. (r1 T_0 Y)) \/ (All X, ((-. (r1 Y X)) \/ (p11 X)))))))))) ### ConjTree 8
% 0.18/0.39 10. (Ex X, (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p16 X)))) \/ ((-. (All X, ((-. (r1 Y X)) \/ (p12 X)))) \/ ((-. (All X, ((-. (r1 Y X)) \/ (p14 X)))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p12 X))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p15 X))))) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p13 X))))) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p12 X))))) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p11 X))))))))))) ### Exists 9
% 0.18/0.39 11. (-. (-. (Ex X, (-. ((-. (All Y, ((-. (r1 X Y)) \/ (-. ((-. (All X, ((-. (r1 Y X)) \/ (p16 X)))) \/ ((-. (All X, ((-. (r1 Y X)) \/ (p12 X)))) \/ ((-. (All X, ((-. (r1 Y X)) \/ (p14 X)))) \/ (-. (All X, ((-. (r1 Y X)) \/ (p12 X))))))))))) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p15 X))))) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p13 X))))) \/ ((All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p12 X))))) \/ (All Y, ((-. (r1 X Y)) \/ (All X, ((-. (r1 Y X)) \/ (p11 X))))))))))))) ### NotNot 10
% 0.18/0.39 % SZS output end Proof
% 0.18/0.39 (* END-PROOF *)
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