TSTP Solution File: SET917+1 by SuperZenon---0.0.1

View Problem - 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 : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----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 *)
%------------------------------------------------------------------------------