TSTP Solution File: KRS145+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : KRS145+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n023.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 : Sun Jul 17 03:32:02 EDT 2022
% Result : Theorem 6.62s 6.82s
% Output : Proof 6.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS145+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n023.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 : Tue Jun 7 14:08:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.62/6.82 % SZS status Theorem
% 6.62/6.82 (* PROOF-FOUND *)
% 6.62/6.82 (* BEGIN-PROOF *)
% 6.62/6.82 % SZS output start Proof
% 6.62/6.82 1. (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) (-. (All X, ((cowlThing X) /\ (-. (cowlNothing X))))) ### Axiom
% 6.62/6.82 2. (-. (xsd_integer T_0)) (xsd_integer T_0) ### Axiom
% 6.62/6.82 3. (-. (-. (xsd_integer T_0))) (-. (xsd_integer T_0)) ### NotNot 2
% 6.62/6.82 4. (-. (xsd_string T_0)) (-. (xsd_integer T_0)) ### Definition-Pseudo(xsd_string) 3
% 6.62/6.82 5. (-. (-. (xsd_integer T_0))) (-. (xsd_integer T_0)) ### Axiom
% 6.62/6.82 6. (xsd_string T_0) (-. (-. (xsd_integer T_0))) ### Definition-Pseudo(xsd_string) 5
% 6.62/6.82 7. (-. ((xsd_string T_0) <=> (-. (xsd_integer T_0)))) ### NotEquiv 4 6
% 6.62/6.82 8. (-. (All X, ((xsd_string X) <=> (-. (xsd_integer X))))) ### NotAllEx 7
% 6.62/6.82 9. (cc T_1) (-. (cc T_1)) ### Axiom
% 6.62/6.82 10. (-. (Ex Y0, (Ex Y1, ((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (Y0 != Y1)))))) (Ex Y0, (Ex Y1, ((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (Y0 != Y1))))) ### Axiom
% 6.62/6.82 11. ((All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) /\ (Ex Y0, (Ex Y1, ((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (Y0 != Y1)))))) (-. (Ex Y0, (Ex Y1, ((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (Y0 != Y1)))))) ### And 10
% 6.62/6.82 12. ((cc T_1) => ((All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) /\ (Ex Y0, (Ex Y1, ((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (Y0 != Y1))))))) (-. (Ex Y0, (Ex Y1, ((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (Y0 != Y1)))))) (cc T_1) ### Imply 9 11
% 6.62/6.82 13. (All X, ((cc X) => ((All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) /\ (Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1)))))))) (cc T_1) (-. (Ex Y0, (Ex Y1, ((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (Y0 != Y1)))))) ### All 12
% 6.62/6.82 14. (cc T_1) (-. (cc T_1)) ### Axiom
% 6.62/6.82 15. (-. (All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))) (All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) ### Axiom
% 6.62/6.82 16. ((All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) /\ (Ex Y0, (Ex Y1, ((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (Y0 != Y1)))))) (-. (All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))) ### And 15
% 6.62/6.82 17. ((cc T_1) => ((All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) /\ (Ex Y0, (Ex Y1, ((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (Y0 != Y1))))))) (-. (All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))) (cc T_1) ### Imply 14 16
% 6.62/6.82 18. (All X, ((cc X) => ((All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) /\ (Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1)))))))) (cc T_1) (-. (All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))) ### All 17
% 6.62/6.82 19. (-. ((Ex Y0, (Ex Y1, ((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (Y0 != Y1))))) /\ (All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))))) (cc T_1) (All X, ((cc X) => ((All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) /\ (Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1)))))))) ### NotAnd 13 18
% 6.62/6.82 20. (-. ((cc T_1) => ((Ex Y0, (Ex Y1, ((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (Y0 != Y1))))) /\ (All Y0, (All Y1, (All Y2, (((rp T_1 Y0) /\ ((rp T_1 Y1) /\ (rp T_1 Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2)))))))))) (All X, ((cc X) => ((All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) /\ (Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1)))))))) ### NotImply 19
% 6.62/6.82 21. (-. (All X, ((cc X) => ((Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1))))) /\ (All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))))))) (All X, ((cc X) => ((All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) /\ (Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1)))))))) ### NotAllEx 20
% 6.62/6.82 22. (-. ((All X, ((cowlThing X) /\ (-. (cowlNothing X)))) /\ ((All X, ((xsd_string X) <=> (-. (xsd_integer X)))) /\ (All X, ((cc X) => ((Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1))))) /\ (All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))))))))) (All X, ((cc X) => ((All Y0, (All Y1, (All Y2, (((rp X Y0) /\ ((rp X Y1) /\ (rp X Y2))) => ((Y0 = Y1) \/ ((Y0 = Y2) \/ (Y1 = Y2))))))) /\ (Ex Y0, (Ex Y1, ((rp X Y0) /\ ((rp X Y1) /\ (Y0 != Y1)))))))) (All X, ((cowlThing X) /\ (-. (cowlNothing X)))) ### DisjTree 1 8 21
% 6.62/6.82 % SZS output end Proof
% 6.62/6.82 (* END-PROOF *)
%------------------------------------------------------------------------------