TSTP Solution File: GEO146+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO146+1 : TPTP v8.1.0. Released v2.4.0.
% 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 07:00:13 EDT 2022
% Result : Theorem 0.41s 0.57s
% Output : Proof 0.41s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO146+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.14/0.34 % Computer : n025.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 : Sat Jun 18 06:03:13 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.41/0.57 (* PROOF-FOUND *)
% 0.41/0.57 % SZS status Theorem
% 0.41/0.57 (* BEGIN-PROOF *)
% 0.41/0.57 % SZS output start Proof
% 0.41/0.57 Theorem t12 : (forall X : zenon_U, (forall Y : zenon_U, (forall P : zenon_U, ((connect X Y P)<->(connect Y X P))))).
% 0.41/0.57 Proof.
% 0.41/0.57 apply NNPP. intro zenon_G.
% 0.41/0.57 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall P : zenon_U, ((connect X Y P)<->(connect Y X P))))) zenon_G); [ zenon_intro zenon_H25; idtac ].
% 0.41/0.57 elim zenon_H25. zenon_intro zenon_TX_bm. zenon_intro zenon_H27.
% 0.41/0.57 apply (zenon_notallex_s (fun Y : zenon_U => (forall P : zenon_U, ((connect zenon_TX_bm Y P)<->(connect Y zenon_TX_bm P)))) zenon_H27); [ zenon_intro zenon_H28; idtac ].
% 0.41/0.57 elim zenon_H28. zenon_intro zenon_TY_bp. zenon_intro zenon_H2a.
% 0.41/0.57 apply (zenon_notallex_s (fun P : zenon_U => ((connect zenon_TX_bm zenon_TY_bp P)<->(connect zenon_TY_bp zenon_TX_bm P))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ].
% 0.41/0.57 elim zenon_H2b. zenon_intro zenon_TP_bs. zenon_intro zenon_H2d.
% 0.41/0.57 apply (zenon_notequiv_s _ _ zenon_H2d); [ zenon_intro zenon_H31; zenon_intro zenon_H30 | zenon_intro zenon_H2f; zenon_intro zenon_H2e ].
% 0.41/0.57 generalize (connect_defn zenon_TX_bm). zenon_intro zenon_H32.
% 0.41/0.57 generalize (zenon_H32 zenon_TY_bp). zenon_intro zenon_H33.
% 0.41/0.57 generalize (zenon_H33 zenon_TP_bs). zenon_intro zenon_H34.
% 0.41/0.57 apply (zenon_equiv_s _ _ zenon_H34); [ zenon_intro zenon_H31; zenon_intro zenon_H36 | zenon_intro zenon_H2f; zenon_intro zenon_H35 ].
% 0.41/0.57 generalize (connect_defn zenon_TY_bp). zenon_intro zenon_H37.
% 0.41/0.57 generalize (zenon_H37 zenon_TX_bm). zenon_intro zenon_H38.
% 0.41/0.57 generalize (zenon_H38 zenon_TP_bs). zenon_intro zenon_H39.
% 0.41/0.57 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H2e; zenon_intro zenon_H3b | zenon_intro zenon_H30; zenon_intro zenon_H3a ].
% 0.41/0.57 exact (zenon_H2e zenon_H30).
% 0.41/0.57 generalize (symmetry_of_at_the_same_time (at zenon_TY_bp zenon_TP_bs)). zenon_intro zenon_H3c.
% 0.41/0.57 generalize (zenon_H3c (at zenon_TX_bm zenon_TP_bs)). zenon_intro zenon_H3d.
% 0.41/0.57 apply (zenon_equiv_s _ _ zenon_H3d); [ zenon_intro zenon_H3b; zenon_intro zenon_H36 | zenon_intro zenon_H3a; zenon_intro zenon_H35 ].
% 0.41/0.57 exact (zenon_H3b zenon_H3a).
% 0.41/0.57 exact (zenon_H36 zenon_H35).
% 0.41/0.57 exact (zenon_H31 zenon_H2f).
% 0.41/0.57 generalize (connect_defn zenon_TX_bm). zenon_intro zenon_H32.
% 0.41/0.57 generalize (zenon_H32 zenon_TY_bp). zenon_intro zenon_H33.
% 0.41/0.57 generalize (zenon_H33 zenon_TP_bs). zenon_intro zenon_H34.
% 0.41/0.57 apply (zenon_equiv_s _ _ zenon_H34); [ zenon_intro zenon_H31; zenon_intro zenon_H36 | zenon_intro zenon_H2f; zenon_intro zenon_H35 ].
% 0.41/0.57 exact (zenon_H31 zenon_H2f).
% 0.41/0.57 generalize (connect_defn zenon_TY_bp). zenon_intro zenon_H37.
% 0.41/0.57 generalize (zenon_H37 zenon_TX_bm). zenon_intro zenon_H38.
% 0.41/0.57 generalize (zenon_H38 zenon_TP_bs). zenon_intro zenon_H39.
% 0.41/0.57 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H2e; zenon_intro zenon_H3b | zenon_intro zenon_H30; zenon_intro zenon_H3a ].
% 0.41/0.57 generalize (symmetry_of_at_the_same_time (at zenon_TX_bm zenon_TP_bs)). zenon_intro zenon_H3e.
% 0.41/0.57 generalize (zenon_H3e (at zenon_TY_bp zenon_TP_bs)). zenon_intro zenon_H3f.
% 0.41/0.57 apply (zenon_equiv_s _ _ zenon_H3f); [ zenon_intro zenon_H36; zenon_intro zenon_H3b | zenon_intro zenon_H35; zenon_intro zenon_H3a ].
% 0.41/0.57 exact (zenon_H36 zenon_H35).
% 0.41/0.57 exact (zenon_H3b zenon_H3a).
% 0.41/0.57 exact (zenon_H2e zenon_H30).
% 0.41/0.57 Qed.
% 0.41/0.57 % SZS output end Proof
% 0.41/0.57 (* END-PROOF *)
% 0.41/0.57 nodes searched: 1667
% 0.41/0.57 max branch formulas: 759
% 0.41/0.57 proof nodes created: 76
% 0.41/0.57 formulas created: 13754
% 0.41/0.57
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