TSTP Solution File: SET917+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET917+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n028.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 05:45:00 EDT 2022
% Result : Theorem 0.18s 0.37s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET917+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n028.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 12:25:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.37 % SZS status Theorem
% 0.18/0.37 (* PROOF-FOUND *)
% 0.18/0.37 (* BEGIN-PROOF *)
% 0.18/0.37 % SZS output start Proof
% 0.18/0.37 1. ((set_intersection2 (singleton T_0) T_1) != (set_intersection2 T_1 (singleton T_0))) ((set_intersection2 T_1 (singleton T_0)) = (set_intersection2 (singleton T_0) T_1)) ### Sym(=)
% 0.18/0.37 2. (All B, ((set_intersection2 T_1 B) = (set_intersection2 B T_1))) ((set_intersection2 (singleton T_0) T_1) != (set_intersection2 T_1 (singleton T_0))) ### All 1
% 0.18/0.37 3. (All A, (All B, ((set_intersection2 A B) = (set_intersection2 B A)))) ((set_intersection2 (singleton T_0) T_1) != (set_intersection2 T_1 (singleton T_0))) ### All 2
% 0.18/0.37 4. ((singleton T_0) != (singleton T_0)) ### Refl(=)
% 0.18/0.37 5. ((singleton T_0) != (singleton T_0)) ### Refl(=)
% 0.18/0.37 6. ((set_intersection2 (singleton T_0) T_1) != (singleton T_0)) ((set_intersection2 T_1 (singleton T_0)) = (singleton T_0)) (All A, (All B, ((set_intersection2 A B) = (set_intersection2 B A)))) ### TransEq 3 4 5
% 0.18/0.37 7. (in T_0 T_1) (All A, (All B, ((set_intersection2 A B) = (set_intersection2 B A)))) ((set_intersection2 (singleton T_0) T_1) != (singleton T_0)) ### Extension/test/l32_zfmisc_1 6
% 0.18/0.37 8. (-. (disjoint (singleton T_0) T_1)) ((set_intersection2 (singleton T_0) T_1) != (singleton T_0)) (All A, (All B, ((set_intersection2 A B) = (set_intersection2 B A)))) ### Extension/test/l28_zfmisc_1ctrp 7
% 0.18/0.37 9. (-. ((disjoint (singleton T_0) T_1) \/ ((set_intersection2 (singleton T_0) T_1) = (singleton T_0)))) (All A, (All B, ((set_intersection2 A B) = (set_intersection2 B A)))) ### NotOr 8
% 0.18/0.37 10. (-. (All B, ((disjoint (singleton T_0) B) \/ ((set_intersection2 (singleton T_0) B) = (singleton T_0))))) (All A, (All B, ((set_intersection2 A B) = (set_intersection2 B A)))) ### NotAllEx 9
% 0.18/0.37 11. (-. (All A, (All B, ((disjoint (singleton A) B) \/ ((set_intersection2 (singleton A) B) = (singleton A)))))) (All A, (All B, ((set_intersection2 A B) = (set_intersection2 B A)))) ### NotAllEx 10
% 0.18/0.37 % SZS output end Proof
% 0.18/0.37 (* END-PROOF *)
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