TSTP Solution File: SYN321+1 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SYN321+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 : n026.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 12:42:31 EDT 2022
% Result : Theorem 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN321+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n026.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 : Tue Jul 12 02:43:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 (* PROOF-FOUND *)
% 0.19/0.39 (* BEGIN-PROOF *)
% 0.19/0.39 % SZS output start Proof
% 0.19/0.39 1. (big_g zenon_X0 zenon_X0) (-. (big_g zenon_X0 zenon_X0)) ### Axiom
% 0.19/0.39 2. (-. (big_f zenon_X0 zenon_X1)) (big_f zenon_X0 zenon_X1) ### Axiom
% 0.19/0.39 3. ((big_g zenon_X0 zenon_X0) => (big_f zenon_X0 zenon_X1)) (-. (big_f zenon_X0 zenon_X1)) (big_g zenon_X0 zenon_X0) ### Imply 1 2
% 0.19/0.39 4. (All Z, ((big_g Z Z) => (big_f Z zenon_X1))) (big_g zenon_X0 zenon_X0) (-. (big_f zenon_X0 zenon_X1)) ### All 3
% 0.19/0.39 5. (All Z, (big_g zenon_X0 Z)) (-. (big_f zenon_X0 zenon_X1)) (All Z, ((big_g Z Z) => (big_f Z zenon_X1))) ### All 4
% 0.19/0.39 6. (big_f zenon_X0 zenon_X1) (-. (big_f zenon_X0 zenon_X1)) ### Axiom
% 0.19/0.39 7. (-. (Ex Z, (big_f zenon_X0 Z))) (big_f zenon_X0 zenon_X1) ### NotExists 6
% 0.19/0.39 8. (-. ((big_f zenon_X0 zenon_X1) <=> (All Z, (big_g zenon_X0 Z)))) (-. (Ex Z, (big_f zenon_X0 Z))) (All Z, ((big_g Z Z) => (big_f Z zenon_X1))) ### NotEquiv 5 7
% 0.19/0.39 9. (All Z, (big_g zenon_X0 Z)) (-. (All Z, (big_g zenon_X0 Z))) ### Axiom
% 0.19/0.39 10. (-. ((big_f zenon_X0 zenon_X1) <=> (All Z, (big_g zenon_X0 Z)))) (All Z, ((big_g Z Z) => (big_f Z zenon_X1))) (All Z, (big_g zenon_X0 Z)) ### NotEquiv 5 9
% 0.19/0.39 11. ((Ex Z, (big_f zenon_X0 Z)) => (All Z, (big_g zenon_X0 Z))) (All Z, ((big_g Z Z) => (big_f Z zenon_X1))) (-. ((big_f zenon_X0 zenon_X1) <=> (All Z, (big_g zenon_X0 Z)))) ### Imply 8 10
% 0.19/0.39 12. (-. (((Ex Z, (big_f zenon_X0 Z)) => (All Z, (big_g zenon_X0 Z))) => ((All Z, ((big_g Z Z) => (big_f Z zenon_X1))) => ((big_f zenon_X0 zenon_X1) <=> (All Z, (big_g zenon_X0 Z)))))) ### ConjTree 11
% 0.19/0.39 13. (-. (Ex Y, (((Ex Z, (big_f zenon_X0 Z)) => (All Z, (big_g zenon_X0 Z))) => ((All Z, ((big_g Z Z) => (big_f Z Y))) => ((big_f zenon_X0 Y) <=> (All Z, (big_g zenon_X0 Z))))))) ### NotExists 12
% 0.19/0.39 14. (-. (Ex X, (Ex Y, (((Ex Z, (big_f X Z)) => (All Z, (big_g X Z))) => ((All Z, ((big_g Z Z) => (big_f Z Y))) => ((big_f X Y) <=> (All Z, (big_g X Z)))))))) ### NotExists 13
% 0.19/0.39 % SZS output end Proof
% 0.19/0.39 (* END-PROOF *)
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