TSTP Solution File: SYN352+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN352+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 : n016.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 12:42:54 EDT 2022
% Result : Theorem 0.12s 0.41s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN352+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 17:09:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.41 % SZS status Theorem
% 0.12/0.41 (* PROOF-FOUND *)
% 0.12/0.41 (* BEGIN-PROOF *)
% 0.12/0.41 % SZS output start Proof
% 0.12/0.41 1. (-. (big_f T_0 T_0)) (big_f T_0 T_0) ### Axiom
% 0.12/0.41 2. (-. ((big_f T_0 T_0) => ((big_f T_0 T_1) <=> (big_f T_0 T_1)))) (-. (big_f T_0 T_0)) ### NotImply 1
% 0.12/0.41 3. (big_f T_1 T_1) (-. (big_f T_1 T_1)) ### Axiom
% 0.12/0.41 4. (big_f T_1 T_2) (-. (big_f T_1 T_2)) ### Axiom
% 0.12/0.41 5. (-. (big_f T_1 T_2)) (big_f T_1 T_2) ### Axiom
% 0.12/0.41 6. (-. ((big_f T_1 T_2) <=> (big_f T_1 T_2))) ### NotEquiv 4 5
% 0.12/0.41 7. (-. ((big_f T_1 T_1) /\ ((big_f T_1 T_2) <=> (big_f T_1 T_2)))) (big_f T_1 T_1) ### NotAnd 3 6
% 0.12/0.41 8. (-. ((big_f T_3 T_0) => (((big_f T_1 T_1) => ((big_f T_0 T_2) \/ (big_f T_1 T_2))) => ((((big_f T_1 T_1) => ((big_f T_0 T_2) <=> (big_f T_1 T_2))) => (big_f T_2 T_2)) => ((big_f T_1 T_1) /\ ((big_f T_1 T_2) <=> (big_f T_1 T_2))))))) (big_f T_1 T_1) ### ConjTree 7
% 0.12/0.41 9. (-. (All Z, ((big_f T_3 T_0) => (((big_f T_1 T_1) => ((big_f T_0 Z) \/ (big_f T_1 Z))) => ((((big_f T_1 T_1) => ((big_f T_0 Z) <=> (big_f T_1 Z))) => (big_f Z Z)) => ((big_f T_1 T_1) /\ ((big_f T_1 Z) <=> (big_f T_1 Z)))))))) (big_f T_1 T_1) ### NotAllEx 8
% 0.12/0.41 10. (-. (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f T_1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f T_1 Y2) => ((big_f T_0 Z) <=> (big_f T_1 Z))) => (big_f Z Z)) => ((big_f T_1 Y2) /\ ((big_f T_1 Z) <=> (big_f Y2 Z))))))))) (big_f T_1 T_1) ### NotExists 9
% 0.12/0.41 11. (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) (big_f T_1 T_1) ### NotExists 10
% 0.12/0.41 12. (((big_f T_0 T_0) => ((big_f T_0 T_1) <=> (big_f T_0 T_1))) => (big_f T_1 T_1)) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) (-. (big_f T_0 T_0)) ### Imply 2 11
% 0.12/0.41 13. (big_f T_0 T_1) (-. (big_f T_0 T_1)) ### Axiom
% 0.12/0.41 14. (big_f T_0 T_1) (-. (big_f T_0 T_1)) ### Axiom
% 0.12/0.41 15. (-. ((big_f T_0 T_1) <=> (big_f T_0 T_1))) (big_f T_0 T_1) ### NotEquiv 13 14
% 0.12/0.41 16. (-. ((big_f T_0 T_0) => ((big_f T_0 T_1) <=> (big_f T_0 T_1)))) (big_f T_0 T_1) ### NotImply 15
% 0.12/0.41 17. (((big_f T_0 T_0) => ((big_f T_0 T_1) <=> (big_f T_0 T_1))) => (big_f T_1 T_1)) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) (big_f T_0 T_1) ### Imply 16 11
% 0.12/0.41 18. ((big_f T_0 T_0) => ((big_f T_0 T_1) \/ (big_f T_0 T_1))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) (((big_f T_0 T_0) => ((big_f T_0 T_1) <=> (big_f T_0 T_1))) => (big_f T_1 T_1)) ### DisjTree 12 17 17
% 0.12/0.41 19. (-. ((big_f T_3 T_0) => (((big_f T_0 T_0) => ((big_f T_0 T_1) \/ (big_f T_0 T_1))) => ((((big_f T_0 T_0) => ((big_f T_0 T_1) <=> (big_f T_0 T_1))) => (big_f T_1 T_1)) => ((big_f T_0 T_0) /\ ((big_f T_0 T_1) <=> (big_f T_0 T_1))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) ### ConjTree 18
% 0.12/0.41 20. (-. (All Z, ((big_f T_3 T_0) => (((big_f T_0 T_0) => ((big_f T_0 Z) \/ (big_f T_0 Z))) => ((((big_f T_0 T_0) => ((big_f T_0 Z) <=> (big_f T_0 Z))) => (big_f Z Z)) => ((big_f T_0 T_0) /\ ((big_f T_0 Z) <=> (big_f T_0 Z)))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) ### NotAllEx 19
% 0.12/0.41 21. (-. (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f T_0 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f T_0 Y2) => ((big_f T_0 Z) <=> (big_f T_0 Z))) => (big_f Z Z)) => ((big_f T_0 Y2) /\ ((big_f T_0 Z) <=> (big_f Y2 Z))))))))) (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) ### NotExists 20
% 0.12/0.41 22. (-. (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 T_0) => (((big_f Y1 Y2) => ((big_f T_0 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f T_0 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))) ### NotExists 21
% 0.12/0.41 23. (-. (All X2, (Ex Y1, (Ex Y2, (All Z, ((big_f T_3 X2) => (((big_f Y1 Y2) => ((big_f X2 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f X2 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z))))))))))) ### NotAllEx 22
% 0.12/0.41 24. (-. (All X1, (All X2, (Ex Y1, (Ex Y2, (All Z, ((big_f X1 X2) => (((big_f Y1 Y2) => ((big_f X2 Z) \/ (big_f Y2 Z))) => ((((big_f Y1 Y2) => ((big_f X2 Z) <=> (big_f Y1 Z))) => (big_f Z Z)) => ((big_f Y1 Y2) /\ ((big_f Y1 Z) <=> (big_f Y2 Z)))))))))))) ### NotAllEx 23
% 0.12/0.41 % SZS output end Proof
% 0.12/0.41 (* END-PROOF *)
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