TSTP Solution File: RNG087+2 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : RNG087+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n021.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 : Mon Jul 18 20:41:57 EDT 2022
% Result : Theorem 24.33s 24.51s
% Output : Proof 24.33s
% 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 : RNG087+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n021.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 : Mon May 30 13:25:58 EDT 2022
% 0.18/0.33 % CPUTime :
% 24.33/24.51 % SZS status Theorem
% 24.33/24.51 (* PROOF-FOUND *)
% 24.33/24.51 (* BEGIN-PROOF *)
% 24.33/24.51 % SZS output start Proof
% 24.33/24.51 1. (aElementOf0 T_0 (xI)) (-. (aElementOf0 T_0 (xI))) ### Axiom
% 24.33/24.51 2. (aElementOf0 T_1 (xJ)) (-. (aElementOf0 T_1 (xJ))) ### Axiom
% 24.33/24.51 3. ((sdtpldt0 T_0 T_1) = (xy)) ((xy) != (sdtpldt0 T_0 T_1)) ### Sym(=)
% 24.33/24.51 4. (-. ((aElementOf0 T_0 (xI)) /\ ((aElementOf0 T_1 (xJ)) /\ ((xy) = (sdtpldt0 T_0 T_1))))) ((sdtpldt0 T_0 T_1) = (xy)) (aElementOf0 T_1 (xJ)) (aElementOf0 T_0 (xI)) ### DisjTree 1 2 3
% 24.33/24.51 5. (-. (Ex W1, ((aElementOf0 T_0 (xI)) /\ ((aElementOf0 W1 (xJ)) /\ ((xy) = (sdtpldt0 T_0 W1)))))) (aElementOf0 T_0 (xI)) (aElementOf0 T_1 (xJ)) ((sdtpldt0 T_0 T_1) = (xy)) ### NotExists 4
% 24.33/24.51 6. (-. (Ex W0, (Ex W1, ((aElementOf0 W0 (xI)) /\ ((aElementOf0 W1 (xJ)) /\ ((xy) = (sdtpldt0 W0 W1))))))) ((sdtpldt0 T_0 T_1) = (xy)) (aElementOf0 T_1 (xJ)) (aElementOf0 T_0 (xI)) ### NotExists 5
% 24.33/24.51 7. ((aElementOf0 T_0 (xI)) /\ ((aElementOf0 T_1 (xJ)) /\ ((sdtpldt0 T_0 T_1) = (xy)))) (-. (Ex W0, (Ex W1, ((aElementOf0 W0 (xI)) /\ ((aElementOf0 W1 (xJ)) /\ ((xy) = (sdtpldt0 W0 W1))))))) ### ConjTree 6
% 24.33/24.51 8. (Ex W1, ((aElementOf0 T_0 (xI)) /\ ((aElementOf0 W1 (xJ)) /\ ((sdtpldt0 T_0 W1) = (xy))))) (-. (Ex W0, (Ex W1, ((aElementOf0 W0 (xI)) /\ ((aElementOf0 W1 (xJ)) /\ ((xy) = (sdtpldt0 W0 W1))))))) ### Exists 7
% 24.33/24.51 9. (Ex W0, (Ex W1, ((aElementOf0 W0 (xI)) /\ ((aElementOf0 W1 (xJ)) /\ ((sdtpldt0 W0 W1) = (xy)))))) (-. (Ex W0, (Ex W1, ((aElementOf0 W0 (xI)) /\ ((aElementOf0 W1 (xJ)) /\ ((xy) = (sdtpldt0 W0 W1))))))) ### Exists 8
% 24.33/24.51 10. ((Ex W0, (Ex W1, ((aElementOf0 W0 (xI)) /\ ((aElementOf0 W1 (xJ)) /\ ((sdtpldt0 W0 W1) = (xx)))))) /\ ((aElementOf0 (xx) (sdtpldt1 (xI) (xJ))) /\ ((Ex W0, (Ex W1, ((aElementOf0 W0 (xI)) /\ ((aElementOf0 W1 (xJ)) /\ ((sdtpldt0 W0 W1) = (xy)))))) /\ ((aElementOf0 (xy) (sdtpldt1 (xI) (xJ))) /\ (aElement0 (xz)))))) (-. (Ex W0, (Ex W1, ((aElementOf0 W0 (xI)) /\ ((aElementOf0 W1 (xJ)) /\ ((xy) = (sdtpldt0 W0 W1))))))) ### ConjTree 9
% 24.33/24.51 % SZS output end Proof
% 24.33/24.51 (* END-PROOF *)
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