TSTP Solution File: SET027+3 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET027+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n025.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 05:38:19 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
% 0.03/0.12 % Problem : SET027+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n025.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 04:52:01 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. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.19/0.40 2. (-. (member T_0 T_2)) (member T_0 T_2) ### Axiom
% 0.19/0.40 3. ((member T_0 T_1) => (member T_0 T_2)) (-. (member T_0 T_2)) (member T_0 T_1) ### Imply 1 2
% 0.19/0.40 4. (All D, ((member D T_1) => (member D T_2))) (member T_0 T_1) (-. (member T_0 T_2)) ### All 3
% 0.19/0.40 5. (-. (member T_0 T_3)) (member T_0 T_3) ### Axiom
% 0.19/0.40 6. ((member T_0 T_2) => (member T_0 T_3)) (-. (member T_0 T_3)) (member T_0 T_1) (All D, ((member D T_1) => (member D T_2))) ### Imply 4 5
% 0.19/0.40 7. (All D, ((member D T_2) => (member D T_3))) (All D, ((member D T_1) => (member D T_2))) (member T_0 T_1) (-. (member T_0 T_3)) ### All 6
% 0.19/0.40 8. (-. ((member T_0 T_1) => (member T_0 T_3))) (All D, ((member D T_1) => (member D T_2))) (All D, ((member D T_2) => (member D T_3))) ### NotImply 7
% 0.19/0.40 9. (-. (All D, ((member D T_1) => (member D T_3)))) (All D, ((member D T_2) => (member D T_3))) (All D, ((member D T_1) => (member D T_2))) ### NotAllEx 8
% 0.19/0.40 10. (-. (subset T_1 T_3)) (All D, ((member D T_1) => (member D T_2))) (All D, ((member D T_2) => (member D T_3))) ### Definition-Pseudo(subset) 9
% 0.19/0.40 11. (subset T_2 T_3) (All D, ((member D T_1) => (member D T_2))) (-. (subset T_1 T_3)) ### Definition-Pseudo(subset) 10
% 0.19/0.40 12. (subset T_1 T_2) (-. (subset T_1 T_3)) (subset T_2 T_3) ### Definition-Pseudo(subset) 11
% 0.19/0.40 13. (-. (((subset T_1 T_2) /\ (subset T_2 T_3)) => (subset T_1 T_3))) ### ConjTree 12
% 0.19/0.40 14. (-. (All D, (((subset T_1 T_2) /\ (subset T_2 D)) => (subset T_1 D)))) ### NotAllEx 13
% 0.19/0.40 15. (-. (All C, (All D, (((subset T_1 C) /\ (subset C D)) => (subset T_1 D))))) ### NotAllEx 14
% 0.19/0.40 16. (-. (All B, (All C, (All D, (((subset B C) /\ (subset C D)) => (subset B D)))))) ### NotAllEx 15
% 0.19/0.40 % SZS output end Proof
% 0.19/0.40 (* END-PROOF *)
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