TSTP Solution File: SYN350+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN350+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 : n017.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 0.19s 0.40s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN350+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.32 % Computer : n017.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Mon Jul 11 11:05:03 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 (* PROOF-FOUND *)
% 0.19/0.40 (* BEGIN-PROOF *)
% 0.19/0.40 % SZS output start Proof
% 0.19/0.40 1. (-. (big_f T_0 T_1)) (big_f T_0 T_1) ### Axiom
% 0.19/0.40 2. ((big_f T_0 T_1) /\ ((big_f zenon_X2 T_1) => (big_f zenon_X2 T_0))) (-. (big_f T_0 T_1)) ### And 1
% 0.19/0.40 3. (-. (big_f T_0 T_1)) (big_f T_0 T_1) ### Axiom
% 0.19/0.40 4. (-. ((big_f T_0 T_1) <=> ((big_f T_0 T_1) /\ ((big_f zenon_X2 T_1) => (big_f zenon_X2 T_0))))) (-. (big_f T_0 T_1)) ### NotEquiv 2 3
% 0.19/0.40 5. (-. (big_f T_0 T_3)) (big_f T_0 T_3) ### Axiom
% 0.19/0.40 6. ((big_f T_0 T_3) /\ ((big_f T_1 T_3) => (big_f T_1 T_0))) (-. (big_f T_0 T_3)) ### And 5
% 0.19/0.40 7. (-. (big_f T_0 T_3)) (big_f T_0 T_3) ### Axiom
% 0.19/0.40 8. (-. ((big_f T_0 T_3) <=> ((big_f T_0 T_3) /\ ((big_f T_1 T_3) => (big_f T_1 T_0))))) (-. (big_f T_0 T_3)) ### NotEquiv 6 7
% 0.19/0.40 9. (big_f T_0 T_3) (-. (big_f T_0 T_3)) ### Axiom
% 0.19/0.40 10. (big_f T_0 T_3) (-. (big_f T_0 T_3)) ### Axiom
% 0.19/0.40 11. (big_f T_1 T_0) (-. (big_f T_1 T_0)) ### Axiom
% 0.19/0.40 12. (-. ((big_f T_1 T_3) => (big_f T_1 T_0))) (big_f T_1 T_0) ### NotImply 11
% 0.19/0.40 13. (-. ((big_f T_0 T_3) /\ ((big_f T_1 T_3) => (big_f T_1 T_0)))) (big_f T_1 T_0) (big_f T_0 T_3) ### NotAnd 10 12
% 0.19/0.40 14. (-. ((big_f T_0 T_3) <=> ((big_f T_0 T_3) /\ ((big_f T_1 T_3) => (big_f T_1 T_0))))) (big_f T_1 T_0) (big_f T_0 T_3) ### NotEquiv 9 13
% 0.19/0.40 15. ((big_f T_0 T_3) <=> (big_f T_3 T_0)) (big_f T_1 T_0) (-. ((big_f T_0 T_3) <=> ((big_f T_0 T_3) /\ ((big_f T_1 T_3) => (big_f T_1 T_0))))) ### Equiv 8 14
% 0.19/0.40 16. (-. (((big_f T_0 T_3) <=> (big_f T_3 T_0)) => ((big_f T_0 T_3) <=> ((big_f T_0 T_3) /\ ((big_f T_1 T_3) => (big_f T_1 T_0)))))) (big_f T_1 T_0) ### NotImply 15
% 0.19/0.40 17. (-. (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f T_0 Z) /\ ((big_f T_1 Z) => (big_f T_1 T_0))))))) (big_f T_1 T_0) ### NotAllEx 16
% 0.19/0.40 18. (-. (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f T_1 Z) => (big_f T_1 Y2)))))))) (big_f T_1 T_0) ### NotExists 17
% 0.19/0.40 19. (-. (Ex Y1, (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f Y1 Z) => (big_f Y1 Y2))))))))) (big_f T_1 T_0) ### NotExists 18
% 0.19/0.40 20. ((big_f T_0 T_1) <=> (big_f T_1 T_0)) (-. (Ex Y1, (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f Y1 Z) => (big_f Y1 Y2))))))))) (-. ((big_f T_0 T_1) <=> ((big_f T_0 T_1) /\ ((big_f zenon_X2 T_1) => (big_f zenon_X2 T_0))))) ### Equiv 4 19
% 0.19/0.40 21. (-. (((big_f T_0 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 zenon_X2 T_0)))))) (-. (Ex Y1, (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f Y1 Z) => (big_f Y1 Y2))))))))) ### NotImply 20
% 0.19/0.40 22. (-. (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f T_0 Z) /\ ((big_f zenon_X2 Z) => (big_f zenon_X2 T_0))))))) (-. (Ex Y1, (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f Y1 Z) => (big_f Y1 Y2))))))))) ### NotAllEx 21
% 0.19/0.40 23. (-. (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f zenon_X2 Z) => (big_f zenon_X2 Y2)))))))) (-. (Ex Y1, (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f Y1 Z) => (big_f Y1 Y2))))))))) ### NotExists 22
% 0.19/0.40 24. (-. (Ex Y1, (Ex Y2, (All Z, (((big_f T_0 Z) <=> (big_f Z T_0)) => ((big_f T_0 Z) <=> ((big_f Y2 Z) /\ ((big_f Y1 Z) => (big_f Y1 Y2))))))))) ### NotExists 23
% 0.19/0.40 25. (-. (All X, (Ex Y1, (Ex Y2, (All Z, (((big_f X Z) <=> (big_f Z X)) => ((big_f X Z) <=> ((big_f Y2 Z) /\ ((big_f Y1 Z) => (big_f Y1 Y2)))))))))) ### NotAllEx 24
% 0.19/0.40 % SZS output end Proof
% 0.19/0.40 (* END-PROOF *)
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