%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWC036+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n013.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 : Tue Jul 19 22:28:59 EDT 2022 % Result : Theorem 0.39s 0.55s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWC036+1 : TPTP v8.1.0. Released v2.4.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n013.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Sun Jun 12 11:52:43 EDT 2022 % 0.14/0.34 % CPUTime : % 0.39/0.55 (* PROOF-FOUND *) % 0.39/0.55 % SZS status Theorem % 0.39/0.55 (* BEGIN-PROOF *) % 0.39/0.55 % SZS output start Proof % 0.39/0.55 Theorem co1 : (forall U : zenon_U, ((ssList U)->(forall V : zenon_U, ((ssList V)->(forall W : zenon_U, ((ssList W)->(forall X : zenon_U, ((ssList X)->((~((nil) = V))\/((~(V = X))\/((~(U = W))\/(((nil) = U)\/((~((nil) = W))/\((nil) = X)))))))))))))). % 0.39/0.55 Proof. % 0.39/0.55 apply NNPP. intro zenon_G. % 0.39/0.55 apply (zenon_notallex_s (fun U : zenon_U => ((ssList U)->(forall V : zenon_U, ((ssList V)->(forall W : zenon_U, ((ssList W)->(forall X : zenon_U, ((ssList X)->((~((nil) = V))\/((~(V = X))\/((~(U = W))\/(((nil) = U)\/((~((nil) = W))/\((nil) = X)))))))))))))) zenon_G); [ zenon_intro zenon_H60; idtac ]. % 0.39/0.55 elim zenon_H60. zenon_intro zenon_TU_dt. zenon_intro zenon_H62. % 0.39/0.55 apply (zenon_notimply_s _ _ zenon_H62). zenon_intro zenon_H64. zenon_intro zenon_H63. % 0.39/0.55 apply (zenon_notallex_s (fun V : zenon_U => ((ssList V)->(forall W : zenon_U, ((ssList W)->(forall X : zenon_U, ((ssList X)->((~((nil) = V))\/((~(V = X))\/((~(zenon_TU_dt = W))\/(((nil) = zenon_TU_dt)\/((~((nil) = W))/\((nil) = X)))))))))))) zenon_H63); [ zenon_intro zenon_H65; idtac ]. % 0.39/0.55 elim zenon_H65. zenon_intro zenon_TV_dy. zenon_intro zenon_H67. % 0.39/0.55 apply (zenon_notimply_s _ _ zenon_H67). zenon_intro zenon_H69. zenon_intro zenon_H68. % 0.39/0.55 apply (zenon_notallex_s (fun W : zenon_U => ((ssList W)->(forall X : zenon_U, ((ssList X)->((~((nil) = zenon_TV_dy))\/((~(zenon_TV_dy = X))\/((~(zenon_TU_dt = W))\/(((nil) = zenon_TU_dt)\/((~((nil) = W))/\((nil) = X)))))))))) zenon_H68); [ zenon_intro zenon_H6a; idtac ]. % 0.39/0.55 elim zenon_H6a. zenon_intro zenon_TW_ed. zenon_intro zenon_H6c. % 0.39/0.55 apply (zenon_notimply_s _ _ zenon_H6c). zenon_intro zenon_H6e. zenon_intro zenon_H6d. % 0.39/0.55 apply (zenon_notallex_s (fun X : zenon_U => ((ssList X)->((~((nil) = zenon_TV_dy))\/((~(zenon_TV_dy = X))\/((~(zenon_TU_dt = zenon_TW_ed))\/(((nil) = zenon_TU_dt)\/((~((nil) = zenon_TW_ed))/\((nil) = X)))))))) zenon_H6d); [ zenon_intro zenon_H6f; idtac ]. % 0.39/0.55 elim zenon_H6f. zenon_intro zenon_TX_ei. zenon_intro zenon_H71. % 0.39/0.55 apply (zenon_notimply_s _ _ zenon_H71). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.39/0.55 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.39/0.55 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.39/0.55 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.39/0.55 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.39/0.55 apply zenon_H79. zenon_intro zenon_H7c. % 0.39/0.55 apply zenon_H77. zenon_intro zenon_H7d. % 0.39/0.55 apply zenon_H75. zenon_intro zenon_H7e. % 0.39/0.55 apply (zenon_notand_s _ _ zenon_H7a); [ zenon_intro zenon_H80 | zenon_intro zenon_H7f ]. % 0.39/0.55 apply zenon_H80. zenon_intro zenon_H81. % 0.39/0.55 elim (classic (zenon_TU_dt = zenon_TU_dt)); [ zenon_intro zenon_H82 | zenon_intro zenon_H83 ]. % 0.39/0.55 cut ((zenon_TU_dt = zenon_TU_dt) = ((nil) = zenon_TU_dt)). % 0.39/0.55 intro zenon_D_pnotp. % 0.39/0.55 apply zenon_H7b. % 0.39/0.55 rewrite <- zenon_D_pnotp. % 0.39/0.55 exact zenon_H82. % 0.39/0.55 cut ((zenon_TU_dt = zenon_TU_dt)); [idtac | apply NNPP; zenon_intro zenon_H83]. % 0.39/0.55 cut ((zenon_TU_dt = (nil))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 0.39/0.55 congruence. % 0.39/0.55 cut ((zenon_TU_dt = zenon_TW_ed) = (zenon_TU_dt = (nil))). % 0.39/0.55 intro zenon_D_pnotp. % 0.39/0.55 apply zenon_H84. % 0.39/0.55 rewrite <- zenon_D_pnotp. % 0.39/0.55 exact zenon_H7c. % 0.39/0.55 cut ((zenon_TW_ed = (nil))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 0.39/0.55 cut ((zenon_TU_dt = zenon_TU_dt)); [idtac | apply NNPP; zenon_intro zenon_H83]. % 0.39/0.55 congruence. % 0.39/0.55 apply zenon_H83. apply refl_equal. % 0.39/0.55 apply zenon_H85. apply sym_equal. exact zenon_H81. % 0.39/0.55 apply zenon_H83. apply refl_equal. % 0.39/0.55 apply zenon_H83. apply refl_equal. % 0.39/0.55 cut (((nil) = zenon_TV_dy) = ((nil) = zenon_TX_ei)). % 0.39/0.55 intro zenon_D_pnotp. % 0.39/0.55 apply zenon_H7f. % 0.39/0.55 rewrite <- zenon_D_pnotp. % 0.39/0.55 exact zenon_H7e. % 0.39/0.55 cut ((zenon_TV_dy = zenon_TX_ei)); [idtac | apply NNPP; zenon_intro zenon_H86]. % 0.39/0.55 cut (((nil) = (nil))); [idtac | apply NNPP; zenon_intro zenon_H87]. % 0.39/0.55 congruence. % 0.39/0.55 apply zenon_H87. apply refl_equal. % 0.39/0.55 exact (zenon_H86 zenon_H7d). % 0.39/0.55 Qed. % 0.39/0.55 % SZS output end Proof % 0.39/0.55 (* END-PROOF *) % 0.39/0.55 nodes searched: 1307 % 0.39/0.55 max branch formulas: 805 % 0.39/0.55 proof nodes created: 19 % 0.39/0.55 formulas created: 9924 % 0.39/0.55 %------------------------------------------------------------------------------