TSTP Solution File: SET643+3 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SET643+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 : n029.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 05:43:05 EDT 2022
% Result : Theorem 0.20s 0.41s
% Output : Proof 0.20s
% 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 : SET643+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n029.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 Jul 10 04:20:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.41 % SZS status Theorem
% 0.20/0.41 (* PROOF-FOUND *)
% 0.20/0.41 (* BEGIN-PROOF *)
% 0.20/0.41 % SZS output start Proof
% 0.20/0.41 1. (-. (ilf_type (cross_product T_0 T_1) (set_type))) (ilf_type (cross_product T_0 T_1) (set_type)) ### Axiom
% 0.20/0.41 2. (All B, (ilf_type B (set_type))) (-. (ilf_type (cross_product T_0 T_1) (set_type))) ### All 1
% 0.20/0.41 3. (ilf_type T_0 (set_type)) (-. (ilf_type T_0 (set_type))) ### Axiom
% 0.20/0.41 4. (ilf_type T_1 (set_type)) (-. (ilf_type T_1 (set_type))) ### Axiom
% 0.20/0.41 5. (-. (subset (cross_product T_0 T_1) (cross_product T_0 T_1))) (All B, (ilf_type B (set_type))) ### Extension/test/p10ctrp 2
% 0.20/0.41 6. (-. (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1))) (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1)) ### Axiom
% 0.20/0.41 7. ((ilf_type T_1 (set_type)) => ((subset (cross_product T_0 T_1) (cross_product T_0 T_1)) => (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1)))) (-. (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1))) (All B, (ilf_type B (set_type))) (ilf_type T_1 (set_type)) ### DisjTree 4 5 6
% 0.20/0.41 8. (All D, ((ilf_type D (set_type)) => ((subset (cross_product T_0 T_1) (cross_product T_0 D)) => (ilf_type (cross_product T_0 T_1) (relation_type T_0 D))))) (ilf_type T_1 (set_type)) (All B, (ilf_type B (set_type))) (-. (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1))) ### All 7
% 0.20/0.41 9. ((ilf_type T_0 (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset (cross_product T_0 T_1) (cross_product T_0 D)) => (ilf_type (cross_product T_0 T_1) (relation_type T_0 D)))))) (-. (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1))) (All B, (ilf_type B (set_type))) (ilf_type T_1 (set_type)) (ilf_type T_0 (set_type)) ### Imply 3 8
% 0.20/0.41 10. (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset (cross_product T_0 T_1) (cross_product C D)) => (ilf_type (cross_product T_0 T_1) (relation_type C D))))))) (ilf_type T_0 (set_type)) (ilf_type T_1 (set_type)) (All B, (ilf_type B (set_type))) (-. (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1))) ### All 9
% 0.20/0.41 11. ((ilf_type (cross_product T_0 T_1) (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset (cross_product T_0 T_1) (cross_product C D)) => (ilf_type (cross_product T_0 T_1) (relation_type C D)))))))) (-. (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1))) (ilf_type T_1 (set_type)) (ilf_type T_0 (set_type)) (All B, (ilf_type B (set_type))) ### Imply 2 10
% 0.20/0.41 12. (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset B (cross_product C D)) => (ilf_type B (relation_type C D))))))))) (All B, (ilf_type B (set_type))) (ilf_type T_0 (set_type)) (ilf_type T_1 (set_type)) (-. (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1))) ### All 11
% 0.20/0.41 13. (-. ((ilf_type T_1 (set_type)) => (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1)))) (ilf_type T_0 (set_type)) (All B, (ilf_type B (set_type))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset B (cross_product C D)) => (ilf_type B (relation_type C D))))))))) ### NotImply 12
% 0.20/0.41 14. (-. (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product T_0 C) (relation_type T_0 C))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset B (cross_product C D)) => (ilf_type B (relation_type C D))))))))) (All B, (ilf_type B (set_type))) (ilf_type T_0 (set_type)) ### NotAllEx 13
% 0.20/0.41 15. (-. ((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)))))) (All B, (ilf_type B (set_type))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset B (cross_product C D)) => (ilf_type B (relation_type C D))))))))) ### NotImply 14
% 0.20/0.41 16. (-. (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 C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset B (cross_product C D)) => (ilf_type B (relation_type C D))))))))) (All B, (ilf_type B (set_type))) ### NotAllEx 15
% 0.20/0.41 % SZS output end Proof
% 0.20/0.41 (* END-PROOF *)
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