TSTP Solution File: SWV383+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWV383+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Wed Jul 20 23:04:10 EDT 2022
% Result : Theorem 6.65s 6.86s
% Output : Proof 6.65s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV383+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 23:36:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 6.65/6.86 Zenon warning: unused variable (X : zenon_U) in ax47
% 6.65/6.86 Zenon warning: unused variable (X : zenon_U) in ax48
% 6.65/6.86 Zenon warning: unused variable (X : zenon_U) in ax49
% 6.65/6.86 Zenon warning: unused variable (X : zenon_U) in ax51
% 6.65/6.86 (* PROOF-FOUND *)
% 6.65/6.86 % SZS status Theorem
% 6.65/6.86 (* BEGIN-PROOF *)
% 6.65/6.86 % SZS output start Proof
% 6.65/6.86 Theorem l19_co : (forall U : zenon_U, (forall V : zenon_U, (forall W : zenon_U, ((~(check_cpq (triple U V W)))->(forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, ((succ_cpq (triple U V W) (triple X Y Z))->((~(ok (triple X Y Z)))\/(~(check_cpq (triple X Y Z)))))))))))).
% 6.65/6.86 Proof.
% 6.65/6.86 apply NNPP. intro zenon_G.
% 6.65/6.86 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (forall W : zenon_U, ((~(check_cpq (triple U V W)))->(forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, ((succ_cpq (triple U V W) (triple X Y Z))->((~(ok (triple X Y Z)))\/(~(check_cpq (triple X Y Z)))))))))))) zenon_G); [ zenon_intro zenon_H2b; idtac ].
% 6.65/6.86 elim zenon_H2b. zenon_intro zenon_TU_bs. zenon_intro zenon_H2d.
% 6.65/6.86 apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, ((~(check_cpq (triple zenon_TU_bs V W)))->(forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, ((succ_cpq (triple zenon_TU_bs V W) (triple X Y Z))->((~(ok (triple X Y Z)))\/(~(check_cpq (triple X Y Z))))))))))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ].
% 6.65/6.86 elim zenon_H2e. zenon_intro zenon_TV_bv. zenon_intro zenon_H30.
% 6.65/6.86 apply (zenon_notallex_s (fun W : zenon_U => ((~(check_cpq (triple zenon_TU_bs zenon_TV_bv W)))->(forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, ((succ_cpq (triple zenon_TU_bs zenon_TV_bv W) (triple X Y Z))->((~(ok (triple X Y Z)))\/(~(check_cpq (triple X Y Z)))))))))) zenon_H30); [ zenon_intro zenon_H31; idtac ].
% 6.65/6.86 elim zenon_H31. zenon_intro zenon_TW_by. zenon_intro zenon_H33.
% 6.65/6.86 apply (zenon_notimply_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 6.65/6.86 generalize (l19_l20 zenon_TU_bs). zenon_intro zenon_H36.
% 6.65/6.86 generalize (zenon_H36 zenon_TV_bv). zenon_intro zenon_H37.
% 6.65/6.86 generalize (zenon_H37 zenon_TW_by). zenon_intro zenon_H38.
% 6.65/6.86 apply (zenon_imply_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 6.65/6.86 apply (zenon_notor_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 6.65/6.86 exact (zenon_H3c zenon_H35).
% 6.65/6.86 exact (zenon_H34 zenon_H39).
% 6.65/6.86 Qed.
% 6.65/6.86 % SZS output end Proof
% 6.65/6.86 (* END-PROOF *)
% 6.65/6.86 nodes searched: 64949
% 6.65/6.86 max branch formulas: 28750
% 6.65/6.86 proof nodes created: 1109
% 6.65/6.86 formulas created: 304054
% 6.65/6.86
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