TSTP Solution File: SET676+3 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SET676+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 : n010.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 05:43:19 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
% 0.07/0.12 % Problem : SET676+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 12:16:00 EDT 2022
% 0.12/0.34 % 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. (ilf_type T_0 (set_type)) (-. (ilf_type T_0 (set_type))) ### Axiom
% 0.19/0.40 2. (-. (ilf_type (cross_product T_0 T_0) (set_type))) (ilf_type (cross_product T_0 T_0) (set_type)) ### Axiom
% 0.19/0.40 3. (All B, (ilf_type B (set_type))) (-. (ilf_type (cross_product T_0 T_0) (set_type))) ### All 2
% 0.19/0.40 4. (ilf_type T_0 (set_type)) (-. (ilf_type T_0 (set_type))) ### Axiom
% 0.19/0.40 5. (ilf_type T_0 (set_type)) (-. (ilf_type T_0 (set_type))) ### Axiom
% 0.19/0.40 6. (-. (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0))) (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0)) ### Axiom
% 0.19/0.40 7. ((ilf_type T_0 (set_type)) => (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0))) (-. (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0))) (ilf_type T_0 (set_type)) ### Imply 5 6
% 0.19/0.40 8. (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product T_0 C) (relation_type T_0 C)))) (ilf_type T_0 (set_type)) (-. (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0))) ### All 7
% 0.19/0.40 9. ((ilf_type T_0 (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product T_0 C) (relation_type T_0 C))))) (-. (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0))) (ilf_type T_0 (set_type)) ### Imply 4 8
% 0.19/0.40 10. (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product B C) (relation_type B C)))))) (ilf_type T_0 (set_type)) (-. (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0))) ### All 9
% 0.19/0.40 11. (-. (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0))) (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0)) ### Axiom
% 0.19/0.40 12. ((ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0)) <=> (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0))) (-. (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0))) (ilf_type T_0 (set_type)) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product B C) (relation_type B C)))))) ### Equiv 10 11
% 0.19/0.40 13. ((ilf_type (cross_product T_0 T_0) (set_type)) => ((ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0)) <=> (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0)))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product B C) (relation_type B C)))))) (ilf_type T_0 (set_type)) (-. (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0))) (All B, (ilf_type B (set_type))) ### Imply 3 12
% 0.19/0.40 14. (All C, ((ilf_type C (set_type)) => ((ilf_type C (identity_relation_of_type T_0)) <=> (ilf_type C (relation_type T_0 T_0))))) (All B, (ilf_type B (set_type))) (-. (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0))) (ilf_type T_0 (set_type)) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product B C) (relation_type B C)))))) ### All 13
% 0.19/0.40 15. ((ilf_type T_0 (set_type)) => (All C, ((ilf_type C (set_type)) => ((ilf_type C (identity_relation_of_type T_0)) <=> (ilf_type C (relation_type T_0 T_0)))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product B C) (relation_type B C)))))) (-. (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0))) (All B, (ilf_type B (set_type))) (ilf_type T_0 (set_type)) ### Imply 1 14
% 0.19/0.40 16. (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => ((ilf_type C (identity_relation_of_type B)) <=> (ilf_type C (relation_type B B))))))) (ilf_type T_0 (set_type)) (All B, (ilf_type B (set_type))) (-. (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product B C) (relation_type B C)))))) ### All 15
% 0.19/0.40 17. (-. ((ilf_type T_0 (set_type)) => (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0)))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product B C) (relation_type B C)))))) (All B, (ilf_type B (set_type))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => ((ilf_type C (identity_relation_of_type B)) <=> (ilf_type C (relation_type B B))))))) ### NotImply 16
% 0.19/0.40 18. (-. (All B, ((ilf_type B (set_type)) => (ilf_type (cross_product B B) (identity_relation_of_type B))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => ((ilf_type C (identity_relation_of_type B)) <=> (ilf_type C (relation_type B B))))))) (All B, (ilf_type B (set_type))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product B C) (relation_type B C)))))) ### NotAllEx 17
% 0.19/0.40 % SZS output end Proof
% 0.19/0.40 (* END-PROOF *)
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