TSTP Solution File: GEO148+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO148+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 : n024.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 06:30:26 EDT 2022
% Result : Theorem 3.74s 3.99s
% Output : Proof 3.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO148+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n024.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 14:31:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.74/3.99 % SZS status Theorem
% 3.74/3.99 (* PROOF-FOUND *)
% 3.74/3.99 (* BEGIN-PROOF *)
% 3.74/3.99 % SZS output start Proof
% 3.74/3.99 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
% 3.74/3.99 2. (once (at_the_same_time (at T_0 T_3) (at T_2 T_4))) (-. (once (at_the_same_time (at T_0 T_3) (at T_2 T_4)))) ### Axiom
% 3.74/3.99 3. (ordered_by (trajectory_of T_0) T_1 T_3) (-. (ordered_by (trajectory_of T_0) T_1 T_3)) ### Axiom
% 3.74/3.99 4. (ordered_by (trajectory_of T_2) T_4 T_1) (-. (ordered_by (trajectory_of T_2) T_4 T_1)) ### Axiom
% 3.74/3.99 5. (((once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) /\ (once (at_the_same_time (at T_0 T_3) (at T_2 T_4)))) => (-. ((ordered_by (trajectory_of T_0) T_1 T_3) /\ (ordered_by (trajectory_of T_2) T_4 T_1)))) (ordered_by (trajectory_of T_2) T_4 T_1) (ordered_by (trajectory_of T_0) T_1 T_3) (once (at_the_same_time (at T_0 T_3) (at T_2 T_4))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) ### DisjTree 1 2 3 4
% 3.74/3.99 6. (All Y, (((once (at_the_same_time (at T_0 T_1) (at Y T_1))) /\ (once (at_the_same_time (at T_0 T_3) (at Y T_4)))) => (-. ((ordered_by (trajectory_of T_0) T_1 T_3) /\ (ordered_by (trajectory_of Y) T_4 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_3) (at T_2 T_4))) (ordered_by (trajectory_of T_0) T_1 T_3) (ordered_by (trajectory_of T_2) T_4 T_1) ### All 5
% 3.74/3.99 7. (All X, (All Y, (((once (at_the_same_time (at X T_1) (at Y T_1))) /\ (once (at_the_same_time (at X T_3) (at Y T_4)))) => (-. ((ordered_by (trajectory_of X) T_1 T_3) /\ (ordered_by (trajectory_of Y) T_4 T_1)))))) (ordered_by (trajectory_of T_2) T_4 T_1) (ordered_by (trajectory_of T_0) T_1 T_3) (once (at_the_same_time (at T_0 T_3) (at T_2 T_4))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) ### All 6
% 3.74/3.99 8. (All Q2, (All X, (All Y, (((once (at_the_same_time (at X T_1) (at Y T_1))) /\ (once (at_the_same_time (at X T_3) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) T_1 T_3) /\ (ordered_by (trajectory_of Y) Q2 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_3) (at T_2 T_4))) (ordered_by (trajectory_of T_0) T_1 T_3) (ordered_by (trajectory_of T_2) T_4 T_1) ### All 7
% 3.74/3.99 9. (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X T_1) (at Y T_1))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) T_1 Q1) /\ (ordered_by (trajectory_of Y) Q2 T_1)))))))) (ordered_by (trajectory_of T_2) T_4 T_1) (ordered_by (trajectory_of T_0) T_1 T_3) (once (at_the_same_time (at T_0 T_3) (at T_2 T_4))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) ### All 8
% 3.74/3.99 10. (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X T_1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) T_1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2))))))))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) (once (at_the_same_time (at T_0 T_3) (at T_2 T_4))) (ordered_by (trajectory_of T_0) T_1 T_3) (ordered_by (trajectory_of T_2) T_4 T_1) ### All 9
% 3.74/3.99 11. (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) (ordered_by (trajectory_of T_2) T_4 T_1) (ordered_by (trajectory_of T_0) T_1 T_3) (once (at_the_same_time (at T_0 T_3) (at T_2 T_4))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) ### All 10
% 3.74/3.99 12. (-. (((ordered_by (trajectory_of T_2) T_4 T_1) /\ (ordered_by (trajectory_of T_0) T_1 T_3)) => (-. (once (at_the_same_time (at T_0 T_3) (at T_2 T_4)))))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) ### ConjTree 11
% 3.74/3.99 13. (-. (All Q2, (((ordered_by (trajectory_of T_2) Q2 T_1) /\ (ordered_by (trajectory_of T_0) T_1 T_3)) => (-. (once (at_the_same_time (at T_0 T_3) (at T_2 Q2))))))) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) ### NotAllEx 12
% 3.74/3.99 14. (-. (All Q1, (All Q2, (((ordered_by (trajectory_of T_2) Q2 T_1) /\ (ordered_by (trajectory_of T_0) T_1 Q1)) => (-. (once (at_the_same_time (at T_0 Q1) (at T_2 Q2)))))))) (once (at_the_same_time (at T_0 T_1) (at T_2 T_1))) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) ### NotAllEx 13
% 3.74/3.99 15. (connect T_0 T_2 T_1) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) (-. (All Q1, (All Q2, (((ordered_by (trajectory_of T_2) Q2 T_1) /\ (ordered_by (trajectory_of T_0) T_1 Q1)) => (-. (once (at_the_same_time (at T_0 Q1) (at T_2 Q2)))))))) ### Definition-Pseudo(connect) 14
% 3.74/3.99 16. (-. ((connect T_0 T_2 T_1) => (All Q1, (All Q2, (((ordered_by (trajectory_of T_2) Q2 T_1) /\ (ordered_by (trajectory_of T_0) T_1 Q1)) => (-. (once (at_the_same_time (at T_0 Q1) (at T_2 Q2))))))))) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) ### NotImply 15
% 3.74/3.99 17. (-. (All Y, ((connect T_0 Y T_1) => (All Q1, (All Q2, (((ordered_by (trajectory_of Y) Q2 T_1) /\ (ordered_by (trajectory_of T_0) T_1 Q1)) => (-. (once (at_the_same_time (at T_0 Q1) (at Y Q2)))))))))) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) ### NotAllEx 16
% 3.74/3.99 18. (-. (All X, (All Y, ((connect X Y T_1) => (All Q1, (All Q2, (((ordered_by (trajectory_of Y) Q2 T_1) /\ (ordered_by (trajectory_of X) T_1 Q1)) => (-. (once (at_the_same_time (at X Q1) (at Y Q2))))))))))) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) ### NotAllEx 17
% 3.74/3.99 19. (-. (All P, (All X, (All Y, ((connect X Y P) => (All Q1, (All Q2, (((ordered_by (trajectory_of Y) Q2 P) /\ (ordered_by (trajectory_of X) P Q1)) => (-. (once (at_the_same_time (at X Q1) (at Y Q2)))))))))))) (All P1, (All P2, (All Q1, (All Q2, (All X, (All Y, (((once (at_the_same_time (at X P1) (at Y P2))) /\ (once (at_the_same_time (at X Q1) (at Y Q2)))) => (-. ((ordered_by (trajectory_of X) P1 Q1) /\ (ordered_by (trajectory_of Y) Q2 P2)))))))))) ### NotAllEx 18
% 3.74/3.99 % SZS output end Proof
% 3.74/3.99 (* END-PROOF *)
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