%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : COM012+3 : 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 : n009.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 : Fri Jul 15 01:45:49 EDT 2022 % Result : Theorem 0.20s 0.42s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : COM012+3 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n009.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Thu Jun 16 19:36:37 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.42 % SZS status Theorem % 0.20/0.42 (* PROOF-FOUND *) % 0.20/0.42 (* BEGIN-PROOF *) % 0.20/0.42 % SZS output start Proof % 0.20/0.42 1. ((xx) = (xy)) ((xy) != (xx)) ### Sym(=) % 0.20/0.42 2. ((xR) != (xR)) ### NotEqual % 0.20/0.42 3. ((xz) != (xz)) ### NotEqual % 0.20/0.42 4. (-. (sdtmndtasgtdt0 (xx) (xR) (xz))) (sdtmndtasgtdt0 (xy) (xR) (xz)) ((xx) = (xy)) ### P-NotP 1 2 3 % 0.20/0.42 5. ((xx) != (xx)) ### NotEqual % 0.20/0.42 6. ((xy) = (xz)) ((xy) != (xz)) ### Axiom % 0.20/0.42 7. (-. (sdtmndtasgtdt0 (xx) (xR) (xz))) (sdtmndtasgtdt0 (xx) (xR) (xy)) ((xy) = (xz)) ### P-NotP 5 2 6 % 0.20/0.42 8. (aElement0 (xx)) (-. (aElement0 (xx))) ### Axiom % 0.20/0.42 9. (aRewritingSystem0 (xR)) (-. (aRewritingSystem0 (xR))) ### Axiom % 0.20/0.42 10. (aElement0 (xy)) (-. (aElement0 (xy))) ### Axiom % 0.20/0.42 11. (aElement0 (xz)) (-. (aElement0 (xz))) ### Axiom % 0.20/0.42 12. (sdtmndtplgtdt0 (xx) (xR) (xy)) (-. (sdtmndtplgtdt0 (xx) (xR) (xy))) ### Axiom % 0.20/0.42 13. (sdtmndtplgtdt0 (xy) (xR) (xz)) (-. (sdtmndtplgtdt0 (xy) (xR) (xz))) ### Axiom % 0.20/0.42 14. (-. (sdtmndtplgtdt0 (xx) (xR) (xz))) (sdtmndtplgtdt0 (xx) (xR) (xz)) ### Axiom % 0.20/0.42 15. (((aElement0 (xx)) /\ ((aRewritingSystem0 (xR)) /\ ((aElement0 (xy)) /\ (aElement0 (xz))))) => (((sdtmndtplgtdt0 (xx) (xR) (xy)) /\ (sdtmndtplgtdt0 (xy) (xR) (xz))) => (sdtmndtplgtdt0 (xx) (xR) (xz)))) (-. (sdtmndtplgtdt0 (xx) (xR) (xz))) (sdtmndtplgtdt0 (xy) (xR) (xz)) (sdtmndtplgtdt0 (xx) (xR) (xy)) (aElement0 (xz)) (aElement0 (xy)) (aRewritingSystem0 (xR)) (aElement0 (xx)) ### DisjTree 8 9 10 11 12 13 14 % 0.20/0.42 16. (All W3, (((aElement0 (xx)) /\ ((aRewritingSystem0 (xR)) /\ ((aElement0 (xy)) /\ (aElement0 W3)))) => (((sdtmndtplgtdt0 (xx) (xR) (xy)) /\ (sdtmndtplgtdt0 (xy) (xR) W3)) => (sdtmndtplgtdt0 (xx) (xR) W3)))) (aElement0 (xx)) (aRewritingSystem0 (xR)) (aElement0 (xy)) (aElement0 (xz)) (sdtmndtplgtdt0 (xx) (xR) (xy)) (sdtmndtplgtdt0 (xy) (xR) (xz)) (-. (sdtmndtplgtdt0 (xx) (xR) (xz))) ### All 15 % 0.20/0.42 17. (All W2, (All W3, (((aElement0 (xx)) /\ ((aRewritingSystem0 (xR)) /\ ((aElement0 W2) /\ (aElement0 W3)))) => (((sdtmndtplgtdt0 (xx) (xR) W2) /\ (sdtmndtplgtdt0 W2 (xR) W3)) => (sdtmndtplgtdt0 (xx) (xR) W3))))) (-. (sdtmndtplgtdt0 (xx) (xR) (xz))) (sdtmndtplgtdt0 (xy) (xR) (xz)) (sdtmndtplgtdt0 (xx) (xR) (xy)) (aElement0 (xz)) (aElement0 (xy)) (aRewritingSystem0 (xR)) (aElement0 (xx)) ### All 16 % 0.20/0.42 18. (All W1, (All W2, (All W3, (((aElement0 (xx)) /\ ((aRewritingSystem0 W1) /\ ((aElement0 W2) /\ (aElement0 W3)))) => (((sdtmndtplgtdt0 (xx) W1 W2) /\ (sdtmndtplgtdt0 W2 W1 W3)) => (sdtmndtplgtdt0 (xx) W1 W3)))))) (aElement0 (xx)) (aRewritingSystem0 (xR)) (aElement0 (xy)) (aElement0 (xz)) (sdtmndtplgtdt0 (xx) (xR) (xy)) (sdtmndtplgtdt0 (xy) (xR) (xz)) (-. (sdtmndtplgtdt0 (xx) (xR) (xz))) ### All 17 % 0.20/0.42 19. (All W0, (All W1, (All W2, (All W3, (((aElement0 W0) /\ ((aRewritingSystem0 W1) /\ ((aElement0 W2) /\ (aElement0 W3)))) => (((sdtmndtplgtdt0 W0 W1 W2) /\ (sdtmndtplgtdt0 W2 W1 W3)) => (sdtmndtplgtdt0 W0 W1 W3))))))) (-. (sdtmndtplgtdt0 (xx) (xR) (xz))) (sdtmndtplgtdt0 (xy) (xR) (xz)) (sdtmndtplgtdt0 (xx) (xR) (xy)) (aElement0 (xz)) (aElement0 (xy)) (aRewritingSystem0 (xR)) (aElement0 (xx)) ### All 18 % 0.20/0.42 20. (((aReductOfIn0 (xz) (xy) (xR)) \/ (Ex W0, ((aElement0 W0) /\ ((aReductOfIn0 W0 (xy) (xR)) /\ (sdtmndtplgtdt0 W0 (xR) (xz)))))) /\ (sdtmndtplgtdt0 (xy) (xR) (xz))) (aElement0 (xx)) (aRewritingSystem0 (xR)) (aElement0 (xy)) (aElement0 (xz)) (sdtmndtplgtdt0 (xx) (xR) (xy)) (-. (sdtmndtplgtdt0 (xx) (xR) (xz))) (All W0, (All W1, (All W2, (All W3, (((aElement0 W0) /\ ((aRewritingSystem0 W1) /\ ((aElement0 W2) /\ (aElement0 W3)))) => (((sdtmndtplgtdt0 W0 W1 W2) /\ (sdtmndtplgtdt0 W2 W1 W3)) => (sdtmndtplgtdt0 W0 W1 W3))))))) ### And 19 % 0.20/0.42 21. (((xy) = (xz)) \/ (((aReductOfIn0 (xz) (xy) (xR)) \/ (Ex W0, ((aElement0 W0) /\ ((aReductOfIn0 W0 (xy) (xR)) /\ (sdtmndtplgtdt0 W0 (xR) (xz)))))) /\ (sdtmndtplgtdt0 (xy) (xR) (xz)))) (All W0, (All W1, (All W2, (All W3, (((aElement0 W0) /\ ((aRewritingSystem0 W1) /\ ((aElement0 W2) /\ (aElement0 W3)))) => (((sdtmndtplgtdt0 W0 W1 W2) /\ (sdtmndtplgtdt0 W2 W1 W3)) => (sdtmndtplgtdt0 W0 W1 W3))))))) (-. (sdtmndtplgtdt0 (xx) (xR) (xz))) (sdtmndtplgtdt0 (xx) (xR) (xy)) (aElement0 (xz)) (aElement0 (xy)) (aRewritingSystem0 (xR)) (aElement0 (xx)) (sdtmndtasgtdt0 (xx) (xR) (xy)) (-. (sdtmndtasgtdt0 (xx) (xR) (xz))) ### Or 7 20 % 0.20/0.42 22. (((aReductOfIn0 (xy) (xx) (xR)) \/ (Ex W0, ((aElement0 W0) /\ ((aReductOfIn0 W0 (xx) (xR)) /\ (sdtmndtplgtdt0 W0 (xR) (xy)))))) /\ (sdtmndtplgtdt0 (xx) (xR) (xy))) (-. (sdtmndtasgtdt0 (xx) (xR) (xz))) (sdtmndtasgtdt0 (xx) (xR) (xy)) (aElement0 (xx)) (aRewritingSystem0 (xR)) (aElement0 (xy)) (aElement0 (xz)) (-. (sdtmndtplgtdt0 (xx) (xR) (xz))) (All W0, (All W1, (All W2, (All W3, (((aElement0 W0) /\ ((aRewritingSystem0 W1) /\ ((aElement0 W2) /\ (aElement0 W3)))) => (((sdtmndtplgtdt0 W0 W1 W2) /\ (sdtmndtplgtdt0 W2 W1 W3)) => (sdtmndtplgtdt0 W0 W1 W3))))))) (((xy) = (xz)) \/ (((aReductOfIn0 (xz) (xy) (xR)) \/ (Ex W0, ((aElement0 W0) /\ ((aReductOfIn0 W0 (xy) (xR)) /\ (sdtmndtplgtdt0 W0 (xR) (xz)))))) /\ (sdtmndtplgtdt0 (xy) (xR) (xz)))) ### And 21 % 0.20/0.42 23. (((xx) = (xy)) \/ (((aReductOfIn0 (xy) (xx) (xR)) \/ (Ex W0, ((aElement0 W0) /\ ((aReductOfIn0 W0 (xx) (xR)) /\ (sdtmndtplgtdt0 W0 (xR) (xy)))))) /\ (sdtmndtplgtdt0 (xx) (xR) (xy)))) (((xy) = (xz)) \/ (((aReductOfIn0 (xz) (xy) (xR)) \/ (Ex W0, ((aElement0 W0) /\ ((aReductOfIn0 W0 (xy) (xR)) /\ (sdtmndtplgtdt0 W0 (xR) (xz)))))) /\ (sdtmndtplgtdt0 (xy) (xR) (xz)))) (All W0, (All W1, (All W2, (All W3, (((aElement0 W0) /\ ((aRewritingSystem0 W1) /\ ((aElement0 W2) /\ (aElement0 W3)))) => (((sdtmndtplgtdt0 W0 W1 W2) /\ (sdtmndtplgtdt0 W2 W1 W3)) => (sdtmndtplgtdt0 W0 W1 W3))))))) (-. (sdtmndtplgtdt0 (xx) (xR) (xz))) (aElement0 (xz)) (aElement0 (xy)) (aRewritingSystem0 (xR)) (aElement0 (xx)) (sdtmndtasgtdt0 (xx) (xR) (xy)) (sdtmndtasgtdt0 (xy) (xR) (xz)) (-. (sdtmndtasgtdt0 (xx) (xR) (xz))) ### Or 4 22 % 0.20/0.42 24. (-. (((((xx) = (xy)) \/ (((aReductOfIn0 (xy) (xx) (xR)) \/ (Ex W0, ((aElement0 W0) /\ ((aReductOfIn0 W0 (xx) (xR)) /\ (sdtmndtplgtdt0 W0 (xR) (xy)))))) /\ (sdtmndtplgtdt0 (xx) (xR) (xy)))) /\ ((sdtmndtasgtdt0 (xx) (xR) (xy)) /\ ((((xy) = (xz)) \/ (((aReductOfIn0 (xz) (xy) (xR)) \/ (Ex W0, ((aElement0 W0) /\ ((aReductOfIn0 W0 (xy) (xR)) /\ (sdtmndtplgtdt0 W0 (xR) (xz)))))) /\ (sdtmndtplgtdt0 (xy) (xR) (xz)))) /\ (sdtmndtasgtdt0 (xy) (xR) (xz))))) => (((xx) = (xz)) \/ ((aReductOfIn0 (xz) (xx) (xR)) \/ ((Ex W0, ((aElement0 W0) /\ ((aReductOfIn0 W0 (xx) (xR)) /\ (sdtmndtplgtdt0 W0 (xR) (xz))))) \/ ((sdtmndtplgtdt0 (xx) (xR) (xz)) \/ (sdtmndtasgtdt0 (xx) (xR) (xz)))))))) (aElement0 (xx)) (aRewritingSystem0 (xR)) (aElement0 (xy)) (aElement0 (xz)) (All W0, (All W1, (All W2, (All W3, (((aElement0 W0) /\ ((aRewritingSystem0 W1) /\ ((aElement0 W2) /\ (aElement0 W3)))) => (((sdtmndtplgtdt0 W0 W1 W2) /\ (sdtmndtplgtdt0 W2 W1 W3)) => (sdtmndtplgtdt0 W0 W1 W3))))))) ### ConjTree 23 % 0.20/0.42 25. ((aElement0 (xx)) /\ ((aRewritingSystem0 (xR)) /\ ((aElement0 (xy)) /\ (aElement0 (xz))))) (All W0, (All W1, (All W2, (All W3, (((aElement0 W0) /\ ((aRewritingSystem0 W1) /\ ((aElement0 W2) /\ (aElement0 W3)))) => (((sdtmndtplgtdt0 W0 W1 W2) /\ (sdtmndtplgtdt0 W2 W1 W3)) => (sdtmndtplgtdt0 W0 W1 W3))))))) (-. (((((xx) = (xy)) \/ (((aReductOfIn0 (xy) (xx) (xR)) \/ (Ex W0, ((aElement0 W0) /\ ((aReductOfIn0 W0 (xx) (xR)) /\ (sdtmndtplgtdt0 W0 (xR) (xy)))))) /\ (sdtmndtplgtdt0 (xx) (xR) (xy)))) /\ ((sdtmndtasgtdt0 (xx) (xR) (xy)) /\ ((((xy) = (xz)) \/ (((aReductOfIn0 (xz) (xy) (xR)) \/ (Ex W0, ((aElement0 W0) /\ ((aReductOfIn0 W0 (xy) (xR)) /\ (sdtmndtplgtdt0 W0 (xR) (xz)))))) /\ (sdtmndtplgtdt0 (xy) (xR) (xz)))) /\ (sdtmndtasgtdt0 (xy) (xR) (xz))))) => (((xx) = (xz)) \/ ((aReductOfIn0 (xz) (xx) (xR)) \/ ((Ex W0, ((aElement0 W0) /\ ((aReductOfIn0 W0 (xx) (xR)) /\ (sdtmndtplgtdt0 W0 (xR) (xz))))) \/ ((sdtmndtplgtdt0 (xx) (xR) (xz)) \/ (sdtmndtasgtdt0 (xx) (xR) (xz)))))))) ### ConjTree 24 % 0.20/0.42 % SZS output end Proof % 0.20/0.42 (* END-PROOF *) %------------------------------------------------------------------------------