TSTP Solution File: SET658+3 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET658+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 05:43:12 EDT 2022
% Result : Theorem 0.21s 0.44s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET658+3 : TPTP v8.1.0. Released v2.2.0.
% 0.13/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 9 20:47:15 EDT 2022
% 0.21/0.36 % CPUTime :
% 0.21/0.44 % SZS status Theorem
% 0.21/0.44 (* PROOF-FOUND *)
% 0.21/0.44 (* BEGIN-PROOF *)
% 0.21/0.44 % SZS output start Proof
% 0.21/0.44 1. (ilf_type T_0 (binary_relation_type)) (-. (ilf_type T_0 (binary_relation_type))) ### Axiom
% 0.21/0.44 2. (-. (ilf_type (domain_of T_0) (set_type))) (ilf_type (domain_of T_0) (set_type)) ### Axiom
% 0.21/0.44 3. ((ilf_type T_0 (binary_relation_type)) => (ilf_type (domain_of T_0) (set_type))) (-. (ilf_type (domain_of T_0) (set_type))) (ilf_type T_0 (binary_relation_type)) ### Imply 1 2
% 0.21/0.44 4. (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) (ilf_type T_0 (binary_relation_type)) (-. (ilf_type (domain_of T_0) (set_type))) ### All 3
% 0.21/0.44 5. (ilf_type T_0 (binary_relation_type)) (-. (ilf_type T_0 (binary_relation_type))) ### Axiom
% 0.21/0.44 6. (-. (subset (domain_of T_0) (domain_of T_0))) (ilf_type T_0 (binary_relation_type)) (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) ### Extension/test/p15ctrp 4
% 0.21/0.44 7. (-. (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0)))) (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0))) ### Axiom
% 0.21/0.44 8. ((ilf_type T_0 (binary_relation_type)) => ((subset (domain_of T_0) (domain_of T_0)) => (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0))))) (-. (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0)))) (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) (ilf_type T_0 (binary_relation_type)) ### DisjTree 5 6 7
% 0.21/0.44 9. (All C, ((ilf_type C (binary_relation_type)) => ((subset (domain_of C) (domain_of T_0)) => (ilf_type C (relation_type (domain_of T_0) (range_of C)))))) (ilf_type T_0 (binary_relation_type)) (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) (-. (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0)))) ### All 8
% 0.21/0.44 10. ((ilf_type (domain_of T_0) (set_type)) => (All C, ((ilf_type C (binary_relation_type)) => ((subset (domain_of C) (domain_of T_0)) => (ilf_type C (relation_type (domain_of T_0) (range_of C))))))) (-. (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0)))) (ilf_type T_0 (binary_relation_type)) (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) ### Imply 4 9
% 0.21/0.44 11. (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (binary_relation_type)) => ((subset (domain_of C) B) => (ilf_type C (relation_type B (range_of C)))))))) (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) (ilf_type T_0 (binary_relation_type)) (-. (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0)))) ### All 10
% 0.21/0.44 12. (-. ((ilf_type T_0 (binary_relation_type)) => (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0))))) (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (binary_relation_type)) => ((subset (domain_of C) B) => (ilf_type C (relation_type B (range_of C)))))))) ### NotImply 11
% 0.21/0.44 13. (-. (All B, ((ilf_type B (binary_relation_type)) => (ilf_type B (relation_type (domain_of B) (range_of B)))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (binary_relation_type)) => ((subset (domain_of C) B) => (ilf_type C (relation_type B (range_of C)))))))) (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) ### NotAllEx 12
% 0.21/0.44 % SZS output end Proof
% 0.21/0.44 (* END-PROOF *)
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