%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO275+1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n025.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 : Sat Jul 16 07:01:28 EDT 2022 % Result : Theorem 7.93s 8.09s % Output : Proof 7.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : GEO275+1 : TPTP v8.1.0. Released v4.1.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n025.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Sat Jun 18 11:33:43 EDT 2022 % 0.13/0.33 % CPUTime : % 7.93/8.09 (* PROOF-FOUND *) % 7.93/8.09 % SZS status Theorem % 7.93/8.09 (* BEGIN-PROOF *) % 7.93/8.09 % SZS output start Proof % 7.93/8.09 Theorem qu(theu(the(228), 1), imp(the(228))) : (forall Vdthex : zenon_U, (((ron (vd1081) Vdthex)/\((rcenter (vd1080) Vdthex)/\(rcircle Vdthex)))->(Vdthex = (vd1095)))). % 7.93/8.09 Proof. % 7.93/8.09 apply NNPP. intro zenon_G. % 7.93/8.09 apply (zenon_notallex_s (fun Vdthex : zenon_U => (((ron (vd1081) Vdthex)/\((rcenter (vd1080) Vdthex)/\(rcircle Vdthex)))->(Vdthex = (vd1095)))) zenon_G); [ zenon_intro zenon_H78; idtac ]. % 7.93/8.09 elim zenon_H78. zenon_intro zenon_TVdthex_er. zenon_intro zenon_H7a. % 7.93/8.09 apply (zenon_notimply_s _ _ zenon_H7a). zenon_intro zenon_H7c. zenon_intro zenon_H7b. % 7.93/8.09 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 7.93/8.09 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H80. zenon_intro zenon_H7f. % 7.93/8.09 apply (zenon_and_s _ _ and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))). zenon_intro zenon_H82. zenon_intro zenon_H81. % 7.93/8.09 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H84. zenon_intro zenon_H83. % 7.93/8.09 generalize (qu(cond(axiom(182), 0), imp(cond(axiom(182), 0))) (vd1081)). zenon_intro zenon_H85. % 7.93/8.09 generalize (zenon_H85 (vd1081)). zenon_intro zenon_H86. % 7.93/8.09 generalize (zenon_H86 (vd1080)). zenon_intro zenon_H87. % 7.93/8.09 generalize (zenon_H87 (vd1095)). zenon_intro zenon_H88. % 7.93/8.09 generalize (zenon_H88 zenon_TVdthex_er). zenon_intro zenon_H89. % 7.93/8.09 apply (zenon_imply_s _ _ zenon_H89); [ zenon_intro zenon_H8b | zenon_intro zenon_H8a ]. % 7.93/8.09 apply (zenon_notand_s _ _ zenon_H8b); [ zenon_intro zenon_H8d | zenon_intro zenon_H8c ]. % 7.93/8.09 apply zenon_H8d. apply refl_equal. % 7.93/8.09 apply (zenon_notand_s _ _ zenon_H8c); [ zenon_intro zenon_H8f | zenon_intro zenon_H8e ]. % 7.93/8.09 exact (zenon_H8f zenon_H7e). % 7.93/8.09 apply (zenon_notand_s _ _ zenon_H8e); [ zenon_intro zenon_H91 | zenon_intro zenon_H90 ]. % 7.93/8.09 exact (zenon_H91 zenon_H82). % 7.93/8.09 apply (zenon_notand_s _ _ zenon_H90); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 7.93/8.09 exact (zenon_H93 zenon_H80). % 7.93/8.09 apply (zenon_notand_s _ _ zenon_H92); [ zenon_intro zenon_H95 | zenon_intro zenon_H94 ]. % 7.93/8.09 exact (zenon_H95 zenon_H84). % 7.93/8.09 apply (zenon_notand_s _ _ zenon_H94); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 7.93/8.09 exact (zenon_H96 qe(s2(plural(224)))). % 7.93/8.09 exact (zenon_H96 qe(s2(plural(224)))). % 7.93/8.09 apply zenon_H7b. apply sym_equal. exact zenon_H8a. % 7.93/8.09 Qed. % 7.93/8.09 % SZS output end Proof % 7.93/8.09 (* END-PROOF *) % 7.93/8.09 nodes searched: 250733 % 7.93/8.09 max branch formulas: 60657 % 7.93/8.09 proof nodes created: 5847 % 7.93/8.09 formulas created: 1713227 % 7.93/8.09 %------------------------------------------------------------------------------