TSTP Solution File: SET978+1 by SuperZenon---0.0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : SET978+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 : n007.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 05:45:23 EDT 2022

% Result   : Theorem 0.12s 0.40s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET978+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33  % Computer : n007.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 : Sat Jul  9 15:45:16 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.40  % SZS status Theorem
% 0.12/0.40  (* PROOF-FOUND *)
% 0.12/0.40  (* BEGIN-PROOF *)
% 0.12/0.40  % SZS output start Proof
% 0.12/0.40  1. (T_0 != T_1) (T_0 = T_1)   ### Axiom
% 0.12/0.40  2. (-. (disjoint (singleton T_0) (singleton T_1))) (T_0 != T_1)   ### Extension/test/t17_zfmisc_1ctrp 1
% 0.12/0.40  3. (-. (disjoint (cartesian_product2 (singleton T_0) T_2) (cartesian_product2 (singleton T_1) T_3))) (T_0 != T_1)   ### Extension/test/t127_zfmisc_1ctrp 2
% 0.12/0.40  4. (-. (disjoint (cartesian_product2 T_2 (singleton T_0)) (cartesian_product2 T_3 (singleton T_1)))) (T_0 != T_1)   ### Extension/test/t127_zfmisc_1ctrp 2
% 0.12/0.40  5. (-. ((disjoint (cartesian_product2 (singleton T_0) T_2) (cartesian_product2 (singleton T_1) T_3)) /\ (disjoint (cartesian_product2 T_2 (singleton T_0)) (cartesian_product2 T_3 (singleton T_1))))) (T_0 != T_1)   ### NotAnd 3 4
% 0.12/0.40  6. (-. ((T_0 != T_1) => ((disjoint (cartesian_product2 (singleton T_0) T_2) (cartesian_product2 (singleton T_1) T_3)) /\ (disjoint (cartesian_product2 T_2 (singleton T_0)) (cartesian_product2 T_3 (singleton T_1))))))   ### NotImply 5
% 0.12/0.40  7. (-. (All D, ((T_0 != T_1) => ((disjoint (cartesian_product2 (singleton T_0) T_2) (cartesian_product2 (singleton T_1) D)) /\ (disjoint (cartesian_product2 T_2 (singleton T_0)) (cartesian_product2 D (singleton T_1)))))))   ### NotAllEx 6
% 0.12/0.40  8. (-. (All C, (All D, ((T_0 != T_1) => ((disjoint (cartesian_product2 (singleton T_0) C) (cartesian_product2 (singleton T_1) D)) /\ (disjoint (cartesian_product2 C (singleton T_0)) (cartesian_product2 D (singleton T_1))))))))   ### NotAllEx 7
% 0.12/0.40  9. (-. (All B, (All C, (All D, ((T_0 != B) => ((disjoint (cartesian_product2 (singleton T_0) C) (cartesian_product2 (singleton B) D)) /\ (disjoint (cartesian_product2 C (singleton T_0)) (cartesian_product2 D (singleton B)))))))))   ### NotAllEx 8
% 0.12/0.40  10. (-. (All A, (All B, (All C, (All D, ((A != B) => ((disjoint (cartesian_product2 (singleton A) C) (cartesian_product2 (singleton B) D)) /\ (disjoint (cartesian_product2 C (singleton A)) (cartesian_product2 D (singleton B))))))))))   ### NotAllEx 9
% 0.12/0.40  % SZS output end Proof
% 0.12/0.40  (* END-PROOF *)
%------------------------------------------------------------------------------