TSTP Solution File: SEU130+1 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SEU130+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 : n020.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 14:48:30 EDT 2022
% Result : Theorem 9.15s 9.32s
% Output : Proof 9.15s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU130+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jun 20 03:34:03 EDT 2022
% 0.11/0.33 % CPUTime :
% 9.15/9.32 % SZS status Theorem
% 9.15/9.32 (* PROOF-FOUND *)
% 9.15/9.32 (* BEGIN-PROOF *)
% 9.15/9.32 % SZS output start Proof
% 9.15/9.32 1. (-. (in T_0 T_1)) (in T_0 T_1) ### Axiom
% 9.15/9.32 2. ((in T_0 T_1) /\ (in T_0 T_2)) (-. (in T_0 T_1)) ### And 1
% 9.15/9.32 3. (in T_0 T_1) (-. (in T_0 T_1)) ### Axiom
% 9.15/9.32 4. (in T_0 T_1) (-. (in T_0 T_1)) ### Axiom
% 9.15/9.32 5. (-. (in T_0 T_2)) (in T_0 T_2) ### Axiom
% 9.15/9.32 6. ((in T_0 T_1) => (in T_0 T_2)) (-. (in T_0 T_2)) (in T_0 T_1) ### Imply 4 5
% 9.15/9.32 7. (All C, ((in C T_1) => (in C T_2))) (in T_0 T_1) (-. (in T_0 T_2)) ### All 6
% 9.15/9.32 8. (-. ((in T_0 T_1) /\ (in T_0 T_2))) (All C, ((in C T_1) => (in C T_2))) (in T_0 T_1) ### NotAnd 3 7
% 9.15/9.32 9. (-. ((in T_0 T_1) <=> ((in T_0 T_1) /\ (in T_0 T_2)))) (All C, ((in C T_1) => (in C T_2))) ### NotEquiv 2 8
% 9.15/9.32 10. (-. (All D, ((in D T_1) <=> ((in D T_1) /\ (in D T_2))))) (All C, ((in C T_1) => (in C T_2))) ### NotAllEx 9
% 9.15/9.32 11. ((set_intersection2 T_1 T_2) != T_1) (T_1 = (set_intersection2 T_1 T_2)) ### Sym(=)
% 9.15/9.32 12. ((T_1 = (set_intersection2 T_1 T_2)) <=> (All D, ((in D T_1) <=> ((in D T_1) /\ (in D T_2))))) ((set_intersection2 T_1 T_2) != T_1) (All C, ((in C T_1) => (in C T_2))) ### Equiv 10 11
% 9.15/9.32 13. (All C, ((C = (set_intersection2 T_1 T_2)) <=> (All D, ((in D C) <=> ((in D T_1) /\ (in D T_2)))))) (All C, ((in C T_1) => (in C T_2))) ((set_intersection2 T_1 T_2) != T_1) ### All 12
% 9.15/9.32 14. (All B, (All C, ((C = (set_intersection2 T_1 B)) <=> (All D, ((in D C) <=> ((in D T_1) /\ (in D B))))))) ((set_intersection2 T_1 T_2) != T_1) (All C, ((in C T_1) => (in C T_2))) ### All 13
% 9.15/9.32 15. (All A, (All B, (All C, ((C = (set_intersection2 A B)) <=> (All D, ((in D C) <=> ((in D A) /\ (in D B)))))))) (All C, ((in C T_1) => (in C T_2))) ((set_intersection2 T_1 T_2) != T_1) ### All 14
% 9.15/9.32 16. (subset T_1 T_2) ((set_intersection2 T_1 T_2) != T_1) (All A, (All B, (All C, ((C = (set_intersection2 A B)) <=> (All D, ((in D C) <=> ((in D A) /\ (in D B)))))))) ### Definition-Pseudo(subset) 15
% 9.15/9.32 17. (-. ((subset T_1 T_2) => ((set_intersection2 T_1 T_2) = T_1))) (All A, (All B, (All C, ((C = (set_intersection2 A B)) <=> (All D, ((in D C) <=> ((in D A) /\ (in D B)))))))) ### NotImply 16
% 9.15/9.32 18. (-. (All B, ((subset T_1 B) => ((set_intersection2 T_1 B) = T_1)))) (All A, (All B, (All C, ((C = (set_intersection2 A B)) <=> (All D, ((in D C) <=> ((in D A) /\ (in D B)))))))) ### NotAllEx 17
% 9.15/9.32 19. (-. (All A, (All B, ((subset A B) => ((set_intersection2 A B) = A))))) (All A, (All B, (All C, ((C = (set_intersection2 A B)) <=> (All D, ((in D C) <=> ((in D A) /\ (in D B)))))))) ### NotAllEx 18
% 9.15/9.32 % SZS output end Proof
% 9.15/9.32 (* END-PROOF *)
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