TSTP Solution File: SYN331+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN331+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 : n010.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 12:42:39 EDT 2022
% Result : Theorem 1.11s 1.27s
% Output : Proof 1.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SYN331+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 11 19:49:00 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.11/1.27 % SZS status Theorem
% 1.11/1.27 (* PROOF-FOUND *)
% 1.11/1.27 (* BEGIN-PROOF *)
% 1.11/1.27 % SZS output start Proof
% 1.11/1.27 1. (-. (big_f T_0 T_0)) (big_f T_0 T_0) ### Axiom
% 1.11/1.27 2. (-. (big_f T_1 T_1)) (big_f T_1 T_1) ### Axiom
% 1.11/1.27 3. ((big_f T_0 T_0) \/ (big_f T_1 T_1)) (-. (big_f T_1 T_1)) (-. (big_f T_0 T_0)) ### Or 1 2
% 1.11/1.27 4. (-. (big_f T_0 T_0)) (big_f T_0 T_0) ### Axiom
% 1.11/1.27 5. ((big_f T_0 T_0) <=> (big_f T_1 T_1)) (-. (big_f T_0 T_0)) ((big_f T_0 T_0) \/ (big_f T_1 T_1)) ### Equiv 3 4
% 1.11/1.27 6. (-. ((big_f T_0 T_1) => ((big_f T_0 T_1) => (((big_f T_0 T_0) <=> (big_f T_1 T_1)) => (((big_f T_0 T_0) \/ (big_f T_1 T_1)) => ((big_f T_1 T_0) \/ (big_f T_1 T_0))))))) (-. (big_f T_0 T_0)) ### ConjTree 5
% 1.11/1.27 7. (-. (All Z, ((big_f T_0 Z) => ((big_f T_0 Z) => (((big_f T_0 T_0) <=> (big_f Z Z)) => (((big_f T_0 T_0) \/ (big_f Z Z)) => ((big_f Z T_0) \/ (big_f Z T_0)))))))) (-. (big_f T_0 T_0)) ### NotAllEx 6
% 1.11/1.27 8. (-. (Ex Y, (All Z, ((big_f T_0 Z) => ((big_f Y Z) => (((big_f T_0 Y) <=> (big_f Z Z)) => (((big_f Y T_0) \/ (big_f Z Z)) => ((big_f Z T_0) \/ (big_f Z Y))))))))) (-. (big_f T_0 T_0)) ### NotExists 7
% 1.11/1.27 9. (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) (-. (big_f T_0 T_0)) ### NotExists 8
% 1.11/1.27 10. (-. (big_f T_2 zenon_X3)) (big_f T_2 zenon_X3) ### Axiom
% 1.11/1.27 11. ((big_f T_2 zenon_X3) <=> (big_f T_0 T_0)) (-. (big_f T_2 zenon_X3)) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) ### Equiv 9 10
% 1.11/1.27 12. (-. ((big_f T_2 T_0) => ((big_f zenon_X3 T_0) => (((big_f T_2 zenon_X3) <=> (big_f T_0 T_0)) => (((big_f zenon_X3 T_2) \/ (big_f T_0 T_0)) => ((big_f T_0 T_2) \/ (big_f T_0 zenon_X3))))))) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) (-. (big_f T_2 zenon_X3)) ### ConjTree 11
% 1.11/1.27 13. (-. (All Z, ((big_f T_2 Z) => ((big_f zenon_X3 Z) => (((big_f T_2 zenon_X3) <=> (big_f Z Z)) => (((big_f zenon_X3 T_2) \/ (big_f Z Z)) => ((big_f Z T_2) \/ (big_f Z zenon_X3)))))))) (-. (big_f T_2 zenon_X3)) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) ### NotAllEx 12
% 1.11/1.27 14. (-. (Ex Y, (All Z, ((big_f T_2 Z) => ((big_f Y Z) => (((big_f T_2 Y) <=> (big_f Z Z)) => (((big_f Y T_2) \/ (big_f Z Z)) => ((big_f Z T_2) \/ (big_f Z Y))))))))) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) (-. (big_f T_2 zenon_X3)) ### NotExists 13
% 1.11/1.27 15. (-. (big_f T_2 zenon_X3)) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) ### NotExists 14
% 1.11/1.27 16. (-. ((big_f zenon_X3 T_2) => ((big_f zenon_X3 T_2) => (((big_f zenon_X3 zenon_X3) <=> (big_f T_2 T_2)) => (((big_f zenon_X3 zenon_X3) \/ (big_f T_2 T_2)) => ((big_f T_2 zenon_X3) \/ (big_f T_2 zenon_X3))))))) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) ### ConjTree 15
% 1.11/1.27 17. (-. (All Z, ((big_f zenon_X3 Z) => ((big_f zenon_X3 Z) => (((big_f zenon_X3 zenon_X3) <=> (big_f Z Z)) => (((big_f zenon_X3 zenon_X3) \/ (big_f Z Z)) => ((big_f Z zenon_X3) \/ (big_f Z zenon_X3)))))))) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) ### NotAllEx 16
% 1.11/1.27 18. (-. (Ex Y, (All Z, ((big_f zenon_X3 Z) => ((big_f Y Z) => (((big_f zenon_X3 Y) <=> (big_f Z Z)) => (((big_f Y zenon_X3) \/ (big_f Z Z)) => ((big_f Z zenon_X3) \/ (big_f Z Y))))))))) (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) ### NotExists 17
% 1.11/1.27 19. (-. (Ex X, (Ex Y, (All Z, ((big_f X Z) => ((big_f Y Z) => (((big_f X Y) <=> (big_f Z Z)) => (((big_f Y X) \/ (big_f Z Z)) => ((big_f Z X) \/ (big_f Z Y)))))))))) ### NotExists 18
% 1.11/1.27 % SZS output end Proof
% 1.11/1.27 (* END-PROOF *)
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