TSTP Solution File: SYN354+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN354+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 : n019.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 12:42:55 EDT 2022
% Result : Theorem 0.18s 0.40s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN354+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.11/0.33 % Computer : n019.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 : Tue Jul 12 07:18:23 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.40 % SZS status Theorem
% 0.18/0.40 (* PROOF-FOUND *)
% 0.18/0.40 (* BEGIN-PROOF *)
% 0.18/0.40 % SZS output start Proof
% 0.18/0.40 1. (big_g T_0 T_1) (-. (big_g T_0 T_1)) ### Axiom
% 0.18/0.40 2. (-. (big_g T_0 T_1)) (big_g T_0 T_1) ### Axiom
% 0.18/0.40 3. (-. ((big_g T_0 T_1) <=> (big_g T_0 T_1))) ### NotEquiv 1 2
% 0.18/0.40 4. (big_f T_2 T_0) (-. (big_f T_2 T_0)) ### Axiom
% 0.18/0.40 5. (big_f T_2 T_0) (-. (big_f T_2 T_0)) ### Axiom
% 0.18/0.40 6. (big_f T_0 T_0) (-. (big_f T_0 T_0)) ### Axiom
% 0.18/0.40 7. (big_f T_0 T_0) (-. (big_f T_0 T_0)) ### Axiom
% 0.18/0.40 8. (-. ((big_f T_2 T_0) /\ ((big_f T_0 T_0) /\ (big_f T_0 T_0)))) (big_f T_0 T_0) (big_f T_2 T_0) ### DisjTree 5 6 7
% 0.18/0.40 9. (-. ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 T_3) <=> (big_g T_0 T_3)) => ((big_f T_0 T_0) => (big_f T_0 T_0))) => (((big_g T_0 T_3) <=> (big_g T_0 T_3)) => ((big_f T_2 T_0) /\ ((big_f T_0 T_0) /\ (big_f T_0 T_0)))))))) (big_f T_2 T_0) (big_f T_0 T_0) ### ConjTree 8
% 0.18/0.40 10. (-. (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g T_0 Z)) => ((big_f T_0 T_0) => (big_f T_0 T_0))) => (((big_g T_0 Z) <=> (big_g T_0 Z)) => ((big_f T_2 T_0) /\ ((big_f T_0 T_0) /\ (big_f T_0 T_0))))))))) (big_f T_0 T_0) (big_f T_2 T_0) ### NotAllEx 9
% 0.18/0.40 11. (-. (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f T_0 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g T_0 Z)) => ((big_f T_2 T_0) /\ ((big_f T_0 T_0) /\ (big_f T_0 Y2)))))))))) (big_f T_2 T_0) (big_f T_0 T_0) ### NotExists 10
% 0.18/0.40 12. (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) (big_f T_0 T_0) (big_f T_2 T_0) ### NotExists 11
% 0.18/0.40 13. (((big_g T_0 T_1) <=> (big_g T_0 T_1)) => ((big_f T_2 T_0) => (big_f T_0 T_0))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) (big_f T_2 T_0) ### DisjTree 3 4 12
% 0.18/0.40 14. (-. ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 T_1) <=> (big_g T_0 T_1)) => ((big_f T_2 T_0) => (big_f T_0 T_0))) => (((big_g T_0 T_1) <=> (big_g T_2 T_1)) => ((big_f T_2 T_2) /\ ((big_f T_0 T_2) /\ (big_f T_2 T_0)))))))) (big_f T_2 T_0) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) ### ConjTree 13
% 0.18/0.40 15. (-. (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g T_0 Z)) => ((big_f T_2 T_0) => (big_f T_0 T_0))) => (((big_g T_0 Z) <=> (big_g T_2 Z)) => ((big_f T_2 T_2) /\ ((big_f T_0 T_2) /\ (big_f T_2 T_0))))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) (big_f T_2 T_0) ### NotAllEx 14
% 0.18/0.40 16. (-. (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f T_2 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g T_2 Z)) => ((big_f T_2 T_2) /\ ((big_f T_0 T_2) /\ (big_f T_2 Y2)))))))))) (big_f T_2 T_0) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) ### NotExists 15
% 0.18/0.40 17. (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) (big_f T_2 T_0) ### NotExists 16
% 0.18/0.40 18. (-. ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 T_4) <=> (big_g zenon_X5 T_4)) => ((big_f zenon_X6 zenon_X5) => (big_f T_0 zenon_X5))) => (((big_g T_0 T_4) <=> (big_g zenon_X6 T_4)) => ((big_f T_2 zenon_X6) /\ ((big_f T_0 zenon_X6) /\ (big_f zenon_X6 zenon_X5)))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) ### ConjTree 17
% 0.18/0.40 19. (-. (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g zenon_X5 Z)) => ((big_f zenon_X6 zenon_X5) => (big_f T_0 zenon_X5))) => (((big_g T_0 Z) <=> (big_g zenon_X6 Z)) => ((big_f T_2 zenon_X6) /\ ((big_f T_0 zenon_X6) /\ (big_f zenon_X6 zenon_X5))))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) ### NotAllEx 18
% 0.18/0.40 20. (-. (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f zenon_X6 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g zenon_X6 Z)) => ((big_f T_2 zenon_X6) /\ ((big_f T_0 zenon_X6) /\ (big_f zenon_X6 Y2)))))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) ### NotExists 19
% 0.18/0.40 21. (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 T_0) => ((big_g T_2 T_0) => ((((big_g T_0 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f T_0 Y2))) => (((big_g T_0 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f T_0 Y1) /\ (big_f Y1 Y2))))))))))) ### NotExists 20
% 0.18/0.40 22. (-. (All X2, (Ex Y1, (Ex Y2, (All Z, ((big_f T_2 X2) => ((big_g T_2 X2) => ((((big_g X2 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f X2 Y2))) => (((big_g X2 Z) <=> (big_g Y1 Z)) => ((big_f T_2 Y1) /\ ((big_f X2 Y1) /\ (big_f Y1 Y2)))))))))))) ### NotAllEx 21
% 0.18/0.40 23. (-. (All X1, (All X2, (Ex Y1, (Ex Y2, (All Z, ((big_f X1 X2) => ((big_g X1 X2) => ((((big_g X2 Z) <=> (big_g Y2 Z)) => ((big_f Y1 Y2) => (big_f X2 Y2))) => (((big_g X2 Z) <=> (big_g Y1 Z)) => ((big_f X1 Y1) /\ ((big_f X2 Y1) /\ (big_f Y1 Y2))))))))))))) ### NotAllEx 22
% 0.18/0.40 % SZS output end Proof
% 0.18/0.40 (* END-PROOF *)
%------------------------------------------------------------------------------