TSTP Solution File: SET764+4 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET764+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n011.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 05:43:49 EDT 2022
% Result : Theorem 0.11s 0.37s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET764+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.10/0.11 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.11/0.33 % Computer : n011.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 11 02:46:42 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.37 % SZS status Theorem
% 0.11/0.37 (* PROOF-FOUND *)
% 0.11/0.37 (* BEGIN-PROOF *)
% 0.11/0.37 % SZS output start Proof
% 0.11/0.37 1. (member T_0 (empty_set)) (-. (member T_0 (empty_set))) ### Axiom
% 0.11/0.37 2. (All X, (-. (member X (empty_set)))) (member T_0 (empty_set)) ### All 1
% 0.11/0.37 3. (member T_1 (inverse_image2 T_2 (empty_set))) (All X, (-. (member X (empty_set)))) ### Extension/test/inverse_image2 2
% 0.11/0.37 4. (-. (subset (inverse_image2 T_2 (empty_set)) (empty_set))) (All X, (-. (member X (empty_set)))) ### Extension/test/not_subset 3
% 0.11/0.37 5. (member T_3 (empty_set)) (-. (member T_3 (empty_set))) ### Axiom
% 0.11/0.37 6. (All X, (-. (member X (empty_set)))) (member T_3 (empty_set)) ### All 5
% 0.11/0.37 7. (-. (subset (empty_set) (inverse_image2 T_2 (empty_set)))) (All X, (-. (member X (empty_set)))) ### Extension/test/not_subset 6
% 0.11/0.37 8. (-. (equal_set (inverse_image2 T_2 (empty_set)) (empty_set))) (All X, (-. (member X (empty_set)))) ### Extension/test/not_equal_set 4 7
% 0.11/0.37 9. (-. ((maps T_2 T_4 T_5) => (equal_set (inverse_image2 T_2 (empty_set)) (empty_set)))) (All X, (-. (member X (empty_set)))) ### NotImply 8
% 0.11/0.37 10. (-. (All B, ((maps T_2 T_4 B) => (equal_set (inverse_image2 T_2 (empty_set)) (empty_set))))) (All X, (-. (member X (empty_set)))) ### NotAllEx 9
% 0.11/0.37 11. (-. (All A, (All B, ((maps T_2 A B) => (equal_set (inverse_image2 T_2 (empty_set)) (empty_set)))))) (All X, (-. (member X (empty_set)))) ### NotAllEx 10
% 0.11/0.37 12. (-. (All F, (All A, (All B, ((maps F A B) => (equal_set (inverse_image2 F (empty_set)) (empty_set))))))) (All X, (-. (member X (empty_set)))) ### NotAllEx 11
% 0.11/0.37 % SZS output end Proof
% 0.11/0.37 (* END-PROOF *)
%------------------------------------------------------------------------------