TSTP Solution File: SYN349+1 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : SYN349+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 : n021.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 12:42:52 EDT 2022

% Result   : Theorem 0.20s 0.41s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN349+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 20:03:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.41  % SZS status Theorem
% 0.20/0.41  (* PROOF-FOUND *)
% 0.20/0.41  (* BEGIN-PROOF *)
% 0.20/0.41  % SZS output start Proof
% 0.20/0.41  1. (-. (big_f T_0 T_1)) (big_f T_0 T_1)   ### Axiom
% 0.20/0.41  2. (big_f T_1 T_0) (-. (big_f T_1 T_0))   ### Axiom
% 0.20/0.41  3. (-. (big_f zenon_X2 T_1)) (big_f zenon_X2 T_1)   ### Axiom
% 0.20/0.41  4. ((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) (-. (big_f zenon_X2 T_1)) (big_f T_1 T_0)   ### Equiv 2 3
% 0.20/0.41  5. (-. (((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1))) (big_f T_1 T_0) (-. (big_f zenon_X2 T_1)) (-. (big_f T_0 T_1))   ### NotEquiv 1 4
% 0.20/0.41  6. (-. (big_f T_1 T_0)) (big_f T_1 T_0)   ### Axiom
% 0.20/0.41  7. (-. (big_f zenon_X2 T_1)) (big_f zenon_X2 T_1)   ### Axiom
% 0.20/0.41  8. (-. ((big_f zenon_X2 T_1) <=> (big_f T_1 T_0))) (-. (big_f zenon_X2 T_1)) (-. (big_f T_1 T_0))   ### NotEquiv 6 7
% 0.20/0.41  9. (-. (big_f T_0 T_1)) (big_f T_0 T_1)   ### Axiom
% 0.20/0.41  10. (((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1)) (-. (big_f T_0 T_1)) (-. (big_f T_1 T_0)) (-. (big_f zenon_X2 T_1))   ### Equiv 8 9
% 0.20/0.41  11. (-. ((((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1)) <=> (big_f T_1 T_0))) (-. (big_f T_0 T_1)) (-. (big_f zenon_X2 T_1))   ### NotEquiv 5 10
% 0.20/0.41  12. (big_f zenon_X2 T_1) (-. (big_f zenon_X2 T_1))   ### Axiom
% 0.20/0.41  13. (big_f T_1 T_0) (-. (big_f T_1 T_0))   ### Axiom
% 0.20/0.41  14. (-. ((big_f zenon_X2 T_1) <=> (big_f T_1 T_0))) (big_f T_1 T_0) (big_f zenon_X2 T_1)   ### NotEquiv 12 13
% 0.20/0.41  15. (big_f T_0 T_1) (-. (big_f T_0 T_1))   ### Axiom
% 0.20/0.41  16. (-. (((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1))) (big_f T_0 T_1) (big_f zenon_X2 T_1) (big_f T_1 T_0)   ### NotEquiv 14 15
% 0.20/0.41  17. (big_f T_0 T_1) (-. (big_f T_0 T_1))   ### Axiom
% 0.20/0.41  18. (big_f zenon_X2 T_1) (-. (big_f zenon_X2 T_1))   ### Axiom
% 0.20/0.41  19. (-. (big_f T_1 T_0)) (big_f T_1 T_0)   ### Axiom
% 0.20/0.41  20. ((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) (-. (big_f T_1 T_0)) (big_f zenon_X2 T_1)   ### Equiv 18 19
% 0.20/0.41  21. (((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1)) (big_f zenon_X2 T_1) (-. (big_f T_1 T_0)) (big_f T_0 T_1)   ### Equiv 17 20
% 0.20/0.41  22. (-. ((((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1)) <=> (big_f T_1 T_0))) (big_f zenon_X2 T_1) (big_f T_0 T_1)   ### NotEquiv 16 21
% 0.20/0.41  23. ((big_f zenon_X2 T_1) <=> (big_f T_0 T_1)) (-. ((((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1)) <=> (big_f T_1 T_0)))   ### Equiv 11 22
% 0.20/0.41  24. (-. (((big_f zenon_X2 T_1) <=> (big_f T_0 T_1)) => ((((big_f zenon_X2 T_1) <=> (big_f T_1 T_0)) <=> (big_f T_0 T_1)) <=> (big_f T_1 T_0))))   ### NotImply 23
% 0.20/0.41  25. (-. (All X4, (((big_f zenon_X2 X4) <=> (big_f T_0 X4)) => ((((big_f zenon_X2 X4) <=> (big_f X4 T_0)) <=> (big_f T_0 X4)) <=> (big_f X4 T_0)))))   ### NotAllEx 24
% 0.20/0.41  26. (-. (Ex X3, (All X4, (((big_f zenon_X2 X4) <=> (big_f T_0 X4)) => ((((big_f zenon_X2 X4) <=> (big_f X4 X3)) <=> (big_f X3 X4)) <=> (big_f X4 T_0))))))   ### NotExists 25
% 0.20/0.41  27. (-. (All X2, (Ex X3, (All X4, (((big_f zenon_X2 X4) <=> (big_f X2 X4)) => ((((big_f zenon_X2 X4) <=> (big_f X4 X3)) <=> (big_f X3 X4)) <=> (big_f X4 X2)))))))   ### NotAllEx 26
% 0.20/0.41  28. (-. (Ex X1, (All X2, (Ex X3, (All X4, (((big_f X1 X4) <=> (big_f X2 X4)) => ((((big_f X1 X4) <=> (big_f X4 X3)) <=> (big_f X3 X4)) <=> (big_f X4 X2))))))))   ### NotExists 27
% 0.20/0.41  % SZS output end Proof
% 0.20/0.41  (* END-PROOF *)
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