TSTP Solution File: SET923+1 by SuperZenon---0.0.1
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% File : SuperZenon---0.0.1
% Problem : SET923+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n015.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 05:45:02 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
% 0.06/0.12 % Problem : SET923+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n015.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 Jul 11 09:28:24 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. ((set_difference T_0 (singleton T_1)) = (empty_set)) ((set_difference T_0 (singleton T_1)) != (empty_set)) ### Axiom
% 0.13/0.39 2. (-. (subset T_0 (singleton T_1))) ((set_difference T_0 (singleton T_1)) = (empty_set)) ### Definition-Pseudo(subset) 1
% 0.13/0.39 3. (T_0 != (empty_set)) (T_0 = (empty_set)) ### Axiom
% 0.13/0.39 4. (T_0 != (singleton T_1)) (T_0 = (singleton T_1)) ### Axiom
% 0.13/0.39 5. ((T_0 = (empty_set)) \/ (T_0 = (singleton T_1))) (T_0 != (singleton T_1)) (T_0 != (empty_set)) ### Or 3 4
% 0.13/0.39 6. ((subset T_0 (singleton T_1)) <=> ((T_0 = (empty_set)) \/ (T_0 = (singleton T_1)))) (T_0 != (empty_set)) (T_0 != (singleton T_1)) ((set_difference T_0 (singleton T_1)) = (empty_set)) ### Equiv 2 5
% 0.13/0.39 7. (All B, ((subset T_0 (singleton B)) <=> ((T_0 = (empty_set)) \/ (T_0 = (singleton B))))) ((set_difference T_0 (singleton T_1)) = (empty_set)) (T_0 != (singleton T_1)) (T_0 != (empty_set)) ### All 6
% 0.13/0.39 8. (All A, (All B, ((subset A (singleton B)) <=> ((A = (empty_set)) \/ (A = (singleton B)))))) (T_0 != (empty_set)) (T_0 != (singleton T_1)) ((set_difference T_0 (singleton T_1)) = (empty_set)) ### All 7
% 0.13/0.39 9. (((set_difference T_0 (singleton T_1)) = (empty_set)) /\ ((T_0 != (empty_set)) /\ (T_0 != (singleton T_1)))) (All A, (All B, ((subset A (singleton B)) <=> ((A = (empty_set)) \/ (A = (singleton B)))))) ### ConjTree 8
% 0.13/0.39 10. (-. (-. (((set_difference T_0 (singleton T_1)) = (empty_set)) /\ ((T_0 != (empty_set)) /\ (T_0 != (singleton T_1)))))) (All A, (All B, ((subset A (singleton B)) <=> ((A = (empty_set)) \/ (A = (singleton B)))))) ### NotNot 9
% 0.13/0.39 11. (-. (All B, (-. (((set_difference T_0 (singleton B)) = (empty_set)) /\ ((T_0 != (empty_set)) /\ (T_0 != (singleton B))))))) (All A, (All B, ((subset A (singleton B)) <=> ((A = (empty_set)) \/ (A = (singleton B)))))) ### NotAllEx 10
% 0.13/0.39 12. (-. (All A, (All B, (-. (((set_difference A (singleton B)) = (empty_set)) /\ ((A != (empty_set)) /\ (A != (singleton B)))))))) (All A, (All B, ((subset A (singleton B)) <=> ((A = (empty_set)) \/ (A = (singleton B)))))) ### NotAllEx 11
% 0.13/0.39 % SZS output end Proof
% 0.13/0.39 (* END-PROOF *)
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