TSTP Solution File: GEO275+1 by Zenon---0.7.1
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% 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 :
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%----WARNING: Could not form TPTP format derivation
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%----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
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