TSTP Solution File: SET987+1 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : SET987+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 : n018.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 05:45:26 EDT 2022

% Result   : Theorem 0.20s 0.50s
% 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
% 0.07/0.12  % Problem  : SET987+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34  % Computer : n018.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 11:58:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.50  % SZS status Theorem
% 0.20/0.50  (* PROOF-FOUND *)
% 0.20/0.50  (* BEGIN-PROOF *)
% 0.20/0.50  % SZS output start Proof
% 0.20/0.50  1. ((set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)) != (set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)))   ### Refl(=)
% 0.20/0.50  2. ((set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)) != (set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)))   ### Refl(=)
% 0.20/0.50  3. (-. (in T_1 T_0)) (in T_1 T_0)   ### Axiom
% 0.20/0.50  4. ((set_difference T_0 (singleton T_1)) != T_0) (-. (in T_1 T_0))   ### Extension/test/not_t65_zfmisc_1 3
% 0.20/0.50  5. ((set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)) != T_0) ((set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)) = (set_difference T_0 (singleton T_1))) (-. (in T_1 T_0))   ### TransEq 1 2 4
% 0.20/0.50  6. (All B, ((set_difference (set_union2 T_0 B) B) = (set_difference T_0 B))) (-. (in T_1 T_0)) ((set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)) != T_0)   ### All 5
% 0.20/0.50  7. (All A, (All B, ((set_difference (set_union2 A B) B) = (set_difference A B)))) ((set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)) != T_0) (-. (in T_1 T_0))   ### All 6
% 0.20/0.50  8. (-. ((-. (in T_1 T_0)) => ((set_difference (set_union2 T_0 (singleton T_1)) (singleton T_1)) = T_0))) (All A, (All B, ((set_difference (set_union2 A B) B) = (set_difference A B))))   ### NotImply 7
% 0.20/0.50  9. (-. (All B, ((-. (in T_1 B)) => ((set_difference (set_union2 B (singleton T_1)) (singleton T_1)) = B)))) (All A, (All B, ((set_difference (set_union2 A B) B) = (set_difference A B))))   ### NotAllEx 8
% 0.20/0.50  10. (-. (All A, (All B, ((-. (in A B)) => ((set_difference (set_union2 B (singleton A)) (singleton A)) = B))))) (All A, (All B, ((set_difference (set_union2 A B) B) = (set_difference A B))))   ### NotAllEx 9
% 0.20/0.50  % SZS output end Proof
% 0.20/0.50  (* END-PROOF *)
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