%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWC391+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 22:30:47 EDT 2022 % Result : Theorem 28.71s 28.90s % Output : Proof 28.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWC391+1 : TPTP v8.1.0. Released v2.4.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.14/0.33 % Computer : n020.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 600 % 0.14/0.33 % DateTime : Sun Jun 12 16:10:05 EDT 2022 % 0.14/0.34 % CPUTime : % 28.71/28.90 (* PROOF-FOUND *) % 28.71/28.90 % SZS status Theorem % 28.71/28.90 (* BEGIN-PROOF *) % 28.71/28.90 % SZS output start Proof % 28.71/28.90 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)->((~(V = X))\/((~(U = W))\/((~(X = W))\/(forall Y : zenon_U, ((ssItem Y)->((~(memberP U Y))\/(memberP V Y))))))))))))))). % 28.71/28.90 Proof. % 28.71/28.90 apply NNPP. intro zenon_G. % 28.71/28.90 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)->((~(V = X))\/((~(U = W))\/((~(X = W))\/(forall Y : zenon_U, ((ssItem Y)->((~(memberP U Y))\/(memberP V Y))))))))))))))) zenon_G); [ zenon_intro zenon_H60; idtac ]. % 28.71/28.90 elim zenon_H60. zenon_intro zenon_TU_dt. zenon_intro zenon_H62. % 28.71/28.90 apply (zenon_notimply_s _ _ zenon_H62). zenon_intro zenon_H64. zenon_intro zenon_H63. % 28.71/28.90 apply (zenon_notallex_s (fun V : zenon_U => ((ssList V)->(forall W : zenon_U, ((ssList W)->(forall X : zenon_U, ((ssList X)->((~(V = X))\/((~(zenon_TU_dt = W))\/((~(X = W))\/(forall Y : zenon_U, ((ssItem Y)->((~(memberP zenon_TU_dt Y))\/(memberP V Y))))))))))))) zenon_H63); [ zenon_intro zenon_H65; idtac ]. % 28.71/28.90 elim zenon_H65. zenon_intro zenon_TV_dy. zenon_intro zenon_H67. % 28.71/28.90 apply (zenon_notimply_s _ _ zenon_H67). zenon_intro zenon_H69. zenon_intro zenon_H68. % 28.71/28.90 apply (zenon_notallex_s (fun W : zenon_U => ((ssList W)->(forall X : zenon_U, ((ssList X)->((~(zenon_TV_dy = X))\/((~(zenon_TU_dt = W))\/((~(X = W))\/(forall Y : zenon_U, ((ssItem Y)->((~(memberP zenon_TU_dt Y))\/(memberP zenon_TV_dy Y))))))))))) zenon_H68); [ zenon_intro zenon_H6a; idtac ]. % 28.71/28.90 elim zenon_H6a. zenon_intro zenon_TW_ed. zenon_intro zenon_H6c. % 28.71/28.90 apply (zenon_notimply_s _ _ zenon_H6c). zenon_intro zenon_H6e. zenon_intro zenon_H6d. % 28.71/28.90 apply (zenon_notallex_s (fun X : zenon_U => ((ssList X)->((~(zenon_TV_dy = X))\/((~(zenon_TU_dt = zenon_TW_ed))\/((~(X = zenon_TW_ed))\/(forall Y : zenon_U, ((ssItem Y)->((~(memberP zenon_TU_dt Y))\/(memberP zenon_TV_dy Y))))))))) zenon_H6d); [ zenon_intro zenon_H6f; idtac ]. % 28.71/28.90 elim zenon_H6f. zenon_intro zenon_TX_ei. zenon_intro zenon_H71. % 28.71/28.90 apply (zenon_notimply_s _ _ zenon_H71). zenon_intro zenon_H73. zenon_intro zenon_H72. % 28.71/28.90 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 28.71/28.90 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76. % 28.71/28.90 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 28.71/28.90 apply zenon_H79. zenon_intro zenon_H7a. % 28.71/28.90 apply zenon_H77. zenon_intro zenon_H7b. % 28.71/28.90 apply zenon_H75. zenon_intro zenon_H7c. % 28.71/28.90 apply (zenon_notallex_s (fun Y : zenon_U => ((ssItem Y)->((~(memberP zenon_TU_dt Y))\/(memberP zenon_TV_dy Y)))) zenon_H78); [ zenon_intro zenon_H7d; idtac ]. % 28.71/28.90 elim zenon_H7d. zenon_intro zenon_TY_ew. zenon_intro zenon_H7f. % 28.71/28.90 apply (zenon_notimply_s _ _ zenon_H7f). zenon_intro zenon_H81. zenon_intro zenon_H80. % 28.71/28.90 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 28.71/28.90 apply zenon_H83. zenon_intro zenon_H84. % 28.71/28.90 cut ((memberP zenon_TU_dt zenon_TY_ew) = (memberP zenon_TV_dy zenon_TY_ew)). % 28.71/28.90 intro zenon_D_pnotp. % 28.71/28.90 apply zenon_H82. % 28.71/28.90 rewrite <- zenon_D_pnotp. % 28.71/28.90 exact zenon_H84. % 28.71/28.90 cut ((zenon_TY_ew = zenon_TY_ew)); [idtac | apply NNPP; zenon_intro zenon_H85]. % 28.71/28.90 cut ((zenon_TU_dt = zenon_TV_dy)); [idtac | apply NNPP; zenon_intro zenon_H86]. % 28.71/28.90 congruence. % 28.71/28.90 cut ((zenon_TU_dt = zenon_TW_ed) = (zenon_TU_dt = zenon_TV_dy)). % 28.71/28.90 intro zenon_D_pnotp. % 28.71/28.90 apply zenon_H86. % 28.71/28.90 rewrite <- zenon_D_pnotp. % 28.71/28.90 exact zenon_H7b. % 28.71/28.90 cut ((zenon_TW_ed = zenon_TV_dy)); [idtac | apply NNPP; zenon_intro zenon_H87]. % 28.71/28.90 cut ((zenon_TU_dt = zenon_TU_dt)); [idtac | apply NNPP; zenon_intro zenon_H88]. % 28.71/28.90 congruence. % 28.71/28.90 apply zenon_H88. apply refl_equal. % 28.71/28.90 elim (classic (zenon_TV_dy = zenon_TV_dy)); [ zenon_intro zenon_H89 | zenon_intro zenon_H8a ]. % 28.71/28.90 cut ((zenon_TV_dy = zenon_TV_dy) = (zenon_TW_ed = zenon_TV_dy)). % 28.71/28.90 intro zenon_D_pnotp. % 28.71/28.90 apply zenon_H87. % 28.71/28.90 rewrite <- zenon_D_pnotp. % 28.71/28.90 exact zenon_H89. % 28.71/28.90 cut ((zenon_TV_dy = zenon_TV_dy)); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 28.71/28.90 cut ((zenon_TV_dy = zenon_TW_ed)); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 28.71/28.90 congruence. % 28.71/28.90 cut ((zenon_TX_ei = zenon_TW_ed) = (zenon_TV_dy = zenon_TW_ed)). % 28.71/28.91 intro zenon_D_pnotp. % 28.71/28.91 apply zenon_H8b. % 28.71/28.91 rewrite <- zenon_D_pnotp. % 28.71/28.91 exact zenon_H7a. % 28.71/28.91 cut ((zenon_TW_ed = zenon_TW_ed)); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 28.71/28.91 cut ((zenon_TX_ei = zenon_TV_dy)); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 28.71/28.91 congruence. % 28.71/28.91 elim (classic (zenon_TV_dy = zenon_TV_dy)); [ zenon_intro zenon_H89 | zenon_intro zenon_H8a ]. % 28.71/28.91 cut ((zenon_TV_dy = zenon_TV_dy) = (zenon_TX_ei = zenon_TV_dy)). % 28.71/28.91 intro zenon_D_pnotp. % 28.71/28.91 apply zenon_H8d. % 28.71/28.91 rewrite <- zenon_D_pnotp. % 28.71/28.91 exact zenon_H89. % 28.71/28.91 cut ((zenon_TV_dy = zenon_TV_dy)); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 28.71/28.91 cut ((zenon_TV_dy = zenon_TX_ei)); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 28.71/28.91 congruence. % 28.71/28.91 exact (zenon_H8e zenon_H7c). % 28.71/28.91 apply zenon_H8a. apply refl_equal. % 28.71/28.91 apply zenon_H8a. apply refl_equal. % 28.71/28.91 apply zenon_H8c. apply refl_equal. % 28.71/28.91 apply zenon_H8a. apply refl_equal. % 28.71/28.91 apply zenon_H8a. apply refl_equal. % 28.71/28.91 apply zenon_H85. apply refl_equal. % 28.71/28.91 Qed. % 28.71/28.91 % SZS output end Proof % 28.71/28.91 (* END-PROOF *) % 28.71/28.91 nodes searched: 341725 % 28.71/28.91 max branch formulas: 18314 % 28.71/28.91 proof nodes created: 28106 % 28.71/28.91 formulas created: 1676444 % 28.71/28.91 %------------------------------------------------------------------------------