TSTP Solution File: SET063+1 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : SET063+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : Tue Jul 19 05:38:51 EDT 2022

% Result   : Theorem 1.62s 1.83s
% Output   : Proof 1.62s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET063+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  9 19:32:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.62/1.83  % SZS status Theorem
% 1.62/1.83  (* PROOF-FOUND *)
% 1.62/1.83  (* BEGIN-PROOF *)
% 1.62/1.83  % SZS output start Proof
% 1.62/1.83  1. (member T_0 (null_class)) (-. (member T_0 (null_class)))   ### Axiom
% 1.62/1.83  2. (All X, (-. (member X (null_class)))) (member T_0 (null_class))   ### All 1
% 1.62/1.83  3. (-. ((member T_0 (null_class)) => (member T_0 T_1))) (All X, (-. (member X (null_class))))   ### NotImply 2
% 1.62/1.83  4. (-. (All U, ((member U (null_class)) => (member U T_1)))) (All X, (-. (member X (null_class))))   ### NotAllEx 3
% 1.62/1.83  5. (-. (subclass (null_class) T_1)) (All X, (-. (member X (null_class))))   ### Definition-Pseudo(subclass) 4
% 1.62/1.83  6. (All U, ((member U T_1) => (member U (null_class)))) (-. (All U, ((member U T_1) => (member U (null_class)))))   ### Axiom
% 1.62/1.83  7. (-. (subclass T_1 (null_class))) (All U, ((member U T_1) => (member U (null_class))))   ### Definition-Pseudo(subclass) 6
% 1.62/1.83  8. (-. ((subclass (null_class) T_1) /\ (subclass T_1 (null_class)))) (All U, ((member U T_1) => (member U (null_class)))) (All X, (-. (member X (null_class))))   ### NotAnd 5 7
% 1.62/1.83  9. (T_1 != (null_class)) ((null_class) = T_1)   ### Sym(=)
% 1.62/1.84  10. (((null_class) = T_1) <=> ((subclass (null_class) T_1) /\ (subclass T_1 (null_class)))) (T_1 != (null_class)) (All X, (-. (member X (null_class)))) (All U, ((member U T_1) => (member U (null_class))))   ### Equiv 8 9
% 1.62/1.84  11. (All Y, (((null_class) = Y) <=> ((subclass (null_class) Y) /\ (subclass Y (null_class))))) (All U, ((member U T_1) => (member U (null_class)))) (All X, (-. (member X (null_class)))) (T_1 != (null_class))   ### All 10
% 1.62/1.84  12. (All X, (All Y, ((X = Y) <=> ((subclass X Y) /\ (subclass Y X))))) (T_1 != (null_class)) (All X, (-. (member X (null_class)))) (All U, ((member U T_1) => (member U (null_class))))   ### All 11
% 1.62/1.84  13. (subclass T_1 (null_class)) (All X, (-. (member X (null_class)))) (T_1 != (null_class)) (All X, (All Y, ((X = Y) <=> ((subclass X Y) /\ (subclass Y X)))))   ### Definition-Pseudo(subclass) 12
% 1.62/1.84  14. (-. ((subclass T_1 (null_class)) => (T_1 = (null_class)))) (All X, (All Y, ((X = Y) <=> ((subclass X Y) /\ (subclass Y X))))) (All X, (-. (member X (null_class))))   ### NotImply 13
% 1.62/1.84  15. (-. (All X, ((subclass X (null_class)) => (X = (null_class))))) (All X, (-. (member X (null_class)))) (All X, (All Y, ((X = Y) <=> ((subclass X Y) /\ (subclass Y X)))))   ### NotAllEx 14
% 1.62/1.84  % SZS output end Proof
% 1.62/1.84  (* END-PROOF *)
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