TSTP Solution File: SET786+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET786+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n014.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 : Tue Jul 19 05:43:58 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET786+1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 05:04:20 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.39 % SZS status Theorem
% 0.13/0.39 (* PROOF-FOUND *)
% 0.13/0.39 (* BEGIN-PROOF *)
% 0.13/0.39 % SZS output start Proof
% 0.13/0.39 1. (element T_0 T_1) (-. (element T_0 T_1)) ### Axiom
% 0.13/0.39 2. (element T_0 T_1) (-. (element T_0 T_1)) ### Axiom
% 0.13/0.39 3. (element T_1 T_0) (-. (element T_1 T_0)) ### Axiom
% 0.13/0.39 4. (-. ((element T_0 T_1) /\ (element T_1 T_0))) (element T_1 T_0) (element T_0 T_1) ### NotAnd 2 3
% 0.13/0.39 5. (-. (Ex Z, ((element T_0 Z) /\ (element Z T_0)))) (element T_0 T_1) (element T_1 T_0) ### NotExists 4
% 0.13/0.39 6. ((element T_0 T_1) <=> (-. (Ex Z, ((element T_0 Z) /\ (element Z T_0))))) (element T_1 T_0) (element T_0 T_1) ### Equiv 1 5
% 0.13/0.39 7. (All X, ((element X T_1) <=> (-. (Ex Z, ((element X Z) /\ (element Z X)))))) (element T_0 T_1) (element T_1 T_0) ### All 6
% 0.13/0.39 8. ((element T_1 T_0) /\ (element T_0 T_1)) (All X, ((element X T_1) <=> (-. (Ex Z, ((element X Z) /\ (element Z X)))))) ### And 7
% 0.13/0.39 9. (Ex Z, ((element T_1 Z) /\ (element Z T_1))) (All X, ((element X T_1) <=> (-. (Ex Z, ((element X Z) /\ (element Z X)))))) ### Exists 8
% 0.13/0.39 10. (-. (-. (Ex Z, ((element T_1 Z) /\ (element Z T_1))))) (All X, ((element X T_1) <=> (-. (Ex Z, ((element X Z) /\ (element Z X)))))) ### NotNot 9
% 0.13/0.39 11. (element T_1 T_1) (-. (element T_1 T_1)) ### Axiom
% 0.13/0.39 12. (element T_1 T_1) (-. (element T_1 T_1)) ### Axiom
% 0.13/0.39 13. (-. ((element T_1 T_1) /\ (element T_1 T_1))) (element T_1 T_1) ### NotAnd 11 12
% 0.13/0.39 14. (-. (Ex Z, ((element T_1 Z) /\ (element Z T_1)))) (element T_1 T_1) ### NotExists 13
% 0.13/0.39 15. ((element T_1 T_1) <=> (-. (Ex Z, ((element T_1 Z) /\ (element Z T_1))))) (All X, ((element X T_1) <=> (-. (Ex Z, ((element X Z) /\ (element Z X)))))) ### Equiv 10 14
% 0.13/0.39 16. (All X, ((element X T_1) <=> (-. (Ex Z, ((element X Z) /\ (element Z X)))))) ### All 15
% 0.13/0.39 17. (Ex Y, (All X, ((element X Y) <=> (-. (Ex Z, ((element X Z) /\ (element Z X))))))) ### Exists 16
% 0.13/0.39 18. (-. (-. (Ex Y, (All X, ((element X Y) <=> (-. (Ex Z, ((element X Z) /\ (element Z X))))))))) ### NotNot 17
% 0.13/0.39 % SZS output end Proof
% 0.13/0.39 (* END-PROOF *)
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