TSTP Solution File: SEU139+1 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SEU139+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 : n027.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 14:48:35 EDT 2022
% Result : Theorem 0.19s 0.40s
% 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
% 0.07/0.12 % Problem : SEU139+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 13:53:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 (* PROOF-FOUND *)
% 0.19/0.40 (* BEGIN-PROOF *)
% 0.19/0.40 % SZS output start Proof
% 0.19/0.40 1. (subset T_0 T_1) (-. (subset T_0 T_1)) ### Axiom
% 0.19/0.40 2. (subset T_1 T_0) (-. (subset T_1 T_0)) ### Axiom
% 0.19/0.40 3. (-. ((subset T_0 T_1) /\ (subset T_1 T_0))) (subset T_1 T_0) (subset T_0 T_1) ### NotAnd 1 2
% 0.19/0.40 4. (T_0 != T_1) (T_0 = T_1) ### Axiom
% 0.19/0.40 5. ((T_0 = T_1) <=> ((subset T_0 T_1) /\ (subset T_1 T_0))) (T_0 != T_1) (subset T_0 T_1) (subset T_1 T_0) ### Equiv 3 4
% 0.19/0.40 6. (All B, ((T_0 = B) <=> ((subset T_0 B) /\ (subset B T_0)))) (subset T_1 T_0) (subset T_0 T_1) (T_0 != T_1) ### All 5
% 0.19/0.40 7. (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (T_0 != T_1) (subset T_0 T_1) (subset T_1 T_0) ### All 6
% 0.19/0.40 8. ((subset T_0 T_1) /\ (T_0 != T_1)) (subset T_1 T_0) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### And 7
% 0.19/0.40 9. (proper_subset T_0 T_1) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) (subset T_1 T_0) ### Definition-Pseudo(proper_subset) 8
% 0.19/0.40 10. ((subset T_1 T_0) /\ (proper_subset T_0 T_1)) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### And 9
% 0.19/0.40 11. (-. (-. ((subset T_1 T_0) /\ (proper_subset T_0 T_1)))) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### NotNot 10
% 0.19/0.40 12. (-. (All B, (-. ((subset T_1 B) /\ (proper_subset B T_1))))) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### NotAllEx 11
% 0.19/0.40 13. (-. (All A, (All B, (-. ((subset A B) /\ (proper_subset B A)))))) (All A, (All B, ((A = B) <=> ((subset A B) /\ (subset B A))))) ### NotAllEx 12
% 0.19/0.40 % SZS output end Proof
% 0.19/0.40 (* END-PROOF *)
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