TSTP Solution File: GEO146+1 by SuperZenon---0.0.1

View Problem - Process Solution

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% File     : SuperZenon---0.0.1
% Problem  : GEO146+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_super_zenon -p0 -itptp -om -max-time %d %s

% Computer : n025.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 : Sat Jul 16 06:30:25 EDT 2022

% Result   : Theorem 4.12s 4.29s
% Output   : Proof 4.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO146+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33  % Computer : n025.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 Jun 18 06:02:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 4.12/4.29  % SZS status Theorem
% 4.12/4.29  (* PROOF-FOUND *)
% 4.12/4.29  (* BEGIN-PROOF *)
% 4.12/4.29  % SZS output start Proof
% 4.12/4.29  1. (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) (-. (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))))   ### Axiom
% 4.12/4.29  2. (-. (once (at_the_same_time (at T_2 T_1) (at T_0 T_1)))) (once (at_the_same_time (at T_2 T_1) (at T_0 T_1)))   ### Axiom
% 4.12/4.29  3. ((once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) <=> (once (at_the_same_time (at T_2 T_1) (at T_0 T_1)))) (-. (once (at_the_same_time (at T_2 T_1) (at T_0 T_1)))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1)))   ### Equiv 1 2
% 4.12/4.29  4. (All B, ((once (at_the_same_time (at T_0 T_1) B)) <=> (once (at_the_same_time B (at T_0 T_1))))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) (-. (once (at_the_same_time (at T_2 T_1) (at T_0 T_1))))   ### All 3
% 4.12/4.29  5. (All A, (All B, ((once (at_the_same_time A B)) <=> (once (at_the_same_time B A))))) (-. (once (at_the_same_time (at T_2 T_1) (at T_0 T_1)))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1)))   ### All 4
% 4.12/4.29  6. (connect T_0 T_2 T_1) (-. (once (at_the_same_time (at T_2 T_1) (at T_0 T_1)))) (All A, (All B, ((once (at_the_same_time A B)) <=> (once (at_the_same_time B A)))))   ### Definition-Pseudo(connect) 5
% 4.12/4.29  7. (-. (connect T_2 T_0 T_1)) (All A, (All B, ((once (at_the_same_time A B)) <=> (once (at_the_same_time B A))))) (connect T_0 T_2 T_1)   ### Definition-Pseudo(connect) 6
% 4.12/4.29  8. (once (at_the_same_time (at T_2 T_1) (at T_0 T_1))) (-. (once (at_the_same_time (at T_2 T_1) (at T_0 T_1))))   ### Axiom
% 4.12/4.29  9. (-. (once (at_the_same_time (at T_0 T_1) (at T_2 T_1)))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1)))   ### Axiom
% 4.12/4.29  10. ((once (at_the_same_time (at T_2 T_1) (at T_0 T_1))) <=> (once (at_the_same_time (at T_0 T_1) (at T_2 T_1)))) (-. (once (at_the_same_time (at T_0 T_1) (at T_2 T_1)))) (once (at_the_same_time (at T_2 T_1) (at T_0 T_1)))   ### Equiv 8 9
% 4.12/4.29  11. (All B, ((once (at_the_same_time (at T_2 T_1) B)) <=> (once (at_the_same_time B (at T_2 T_1))))) (once (at_the_same_time (at T_2 T_1) (at T_0 T_1))) (-. (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))))   ### All 10
% 4.12/4.29  12. (All A, (All B, ((once (at_the_same_time A B)) <=> (once (at_the_same_time B A))))) (-. (once (at_the_same_time (at T_0 T_1) (at T_2 T_1)))) (once (at_the_same_time (at T_2 T_1) (at T_0 T_1)))   ### All 11
% 4.12/4.29  13. (-. (connect T_0 T_2 T_1)) (once (at_the_same_time (at T_2 T_1) (at T_0 T_1))) (All A, (All B, ((once (at_the_same_time A B)) <=> (once (at_the_same_time B A)))))   ### Definition-Pseudo(connect) 12
% 4.12/4.29  14. (connect T_2 T_0 T_1) (All A, (All B, ((once (at_the_same_time A B)) <=> (once (at_the_same_time B A))))) (-. (connect T_0 T_2 T_1))   ### Definition-Pseudo(connect) 13
% 4.12/4.29  15. (-. ((connect T_2 T_0 T_1) <=> (connect T_0 T_2 T_1))) (All A, (All B, ((once (at_the_same_time A B)) <=> (once (at_the_same_time B A)))))   ### NotEquiv 7 14
% 4.12/4.29  16. (-. (All P, ((connect T_2 T_0 P) <=> (connect T_0 T_2 P)))) (All A, (All B, ((once (at_the_same_time A B)) <=> (once (at_the_same_time B A)))))   ### NotAllEx 15
% 4.12/4.29  17. (-. (All Y, (All P, ((connect T_2 Y P) <=> (connect Y T_2 P))))) (All A, (All B, ((once (at_the_same_time A B)) <=> (once (at_the_same_time B A)))))   ### NotAllEx 16
% 4.12/4.29  18. (-. (All X, (All Y, (All P, ((connect X Y P) <=> (connect Y X P)))))) (All A, (All B, ((once (at_the_same_time A B)) <=> (once (at_the_same_time B A)))))   ### NotAllEx 17
% 4.12/4.29  % SZS output end Proof
% 4.12/4.29  (* END-PROOF *)
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