TSTP Solution File: SEU123+1 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SEU123+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n006.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 14:48:27 EDT 2022
% Result : Theorem 0.18s 0.39s
% Output : Proof 0.18s
% 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 : SEU123+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n006.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 : Mon Jun 20 05:36:55 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.39 % SZS status Theorem
% 0.18/0.39 (* PROOF-FOUND *)
% 0.18/0.39 (* BEGIN-PROOF *)
% 0.18/0.39 % SZS output start Proof
% 0.18/0.39 1. (-. (subset (empty_set) T_0)) (subset (empty_set) T_0) ### Axiom
% 0.18/0.39 2. (All A, (subset (empty_set) A)) (-. (subset (empty_set) T_0)) ### All 1
% 0.18/0.39 3. (subset T_0 (empty_set)) (-. (subset T_0 (empty_set))) ### Axiom
% 0.18/0.39 4. (-. ((subset (empty_set) T_0) /\ (subset T_0 (empty_set)))) (subset T_0 (empty_set)) (All A, (subset (empty_set) A)) ### NotAnd 2 3
% 0.18/0.39 5. (T_0 != (empty_set)) ((empty_set) = T_0) ### Sym(=)
% 0.18/0.39 6. (((empty_set) = T_0) <=> ((subset (empty_set) T_0) /\ (subset T_0 (empty_set)))) (T_0 != (empty_set)) (All A, (subset (empty_set) A)) (subset T_0 (empty_set)) ### Equiv 4 5
% 0.18/0.39 7. (All B, (((empty_set) = B) <=> ((subset (empty_set) B) /\ (subset B (empty_set))))) (subset T_0 (empty_set)) (All A, (subset (empty_set) A)) (T_0 != (empty_set)) ### All 6
% 0.18/0.39 8. (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (T_0 != (empty_set)) (All A, (subset (empty_set) A)) (subset T_0 (empty_set)) ### All 7
% 0.18/0.39 9. (-. ((subset T_0 (empty_set)) => (T_0 = (empty_set)))) (All A, (subset (empty_set) A)) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### NotImply 8
% 0.18/0.39 10. (-. (All A, ((subset A (empty_set)) => (A = (empty_set))))) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (All A, (subset (empty_set) A)) ### NotAllEx 9
% 0.18/0.39 % SZS output end Proof
% 0.18/0.39 (* END-PROOF *)
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