TSTP Solution File: KLE005+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : KLE005+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n004.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 : Sun Jul 17 02:37:10 EDT 2022
% Result : Theorem 0.50s 0.67s
% Output : Proof 0.50s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : KLE005+1 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.14 % Command : run_zenon %s %d
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.21/0.36 % DateTime : Thu Jun 16 08:20:24 EDT 2022
% 0.21/0.36 % CPUTime :
% 0.50/0.67 (* PROOF-FOUND *)
% 0.50/0.67 % SZS status Theorem
% 0.50/0.67 (* BEGIN-PROOF *)
% 0.50/0.67 % SZS output start Proof
% 0.50/0.67 Theorem goals : ((c (one)) = (zero)).
% 0.50/0.67 Proof.
% 0.50/0.67 apply NNPP. intro zenon_G.
% 0.50/0.67 generalize (test_4 (one)). zenon_intro zenon_H11.
% 0.50/0.67 apply (zenon_imply_s _ _ zenon_H11); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ].
% 0.50/0.67 apply zenon_H13. zenon_intro zenon_H14.
% 0.50/0.67 generalize (test_1 (one)). zenon_intro zenon_H15.
% 0.50/0.67 apply (zenon_equiv_s _ _ zenon_H15); [ zenon_intro zenon_H18; zenon_intro zenon_H17 | zenon_intro zenon_H14; zenon_intro zenon_H16 ].
% 0.50/0.67 exact (zenon_H18 zenon_H14).
% 0.50/0.67 generalize (multiplicative_right_identity (c (one))). zenon_intro zenon_H19.
% 0.50/0.67 generalize (test_3 (one)). zenon_intro zenon_H1a.
% 0.50/0.67 generalize (zenon_H1a (c (one))). zenon_intro zenon_H1b.
% 0.50/0.67 apply (zenon_imply_s _ _ zenon_H1b); [ zenon_intro zenon_H18 | zenon_intro zenon_H1c ].
% 0.50/0.67 generalize (test_1 (one)). zenon_intro zenon_H15.
% 0.50/0.67 apply (zenon_equiv_s _ _ zenon_H15); [ zenon_intro zenon_H18; zenon_intro zenon_H17 | zenon_intro zenon_H14; zenon_intro zenon_H16 ].
% 0.50/0.67 exact (zenon_H17 zenon_H16).
% 0.50/0.67 exact (zenon_H18 zenon_H14).
% 0.50/0.67 apply (zenon_equiv_s _ _ zenon_H1c); [ zenon_intro zenon_H20; zenon_intro zenon_H1f | zenon_intro zenon_H1e; zenon_intro zenon_H1d ].
% 0.50/0.67 apply zenon_H20. apply refl_equal.
% 0.50/0.67 generalize (test_2 (c (one))). zenon_intro zenon_H21.
% 0.50/0.67 generalize (zenon_H21 (one)). zenon_intro zenon_H22.
% 0.50/0.67 apply (zenon_equiv_s _ _ zenon_H22); [ zenon_intro zenon_H1f; zenon_intro zenon_H24 | zenon_intro zenon_H1d; zenon_intro zenon_H23 ].
% 0.50/0.67 exact (zenon_H1f zenon_H1d).
% 0.50/0.67 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H26. zenon_intro zenon_H25.
% 0.50/0.67 elim (classic ((zero) = (zero))); [ zenon_intro zenon_H27 | zenon_intro zenon_H28 ].
% 0.50/0.67 cut (((zero) = (zero)) = ((c (one)) = (zero))).
% 0.50/0.67 intro zenon_D_pnotp.
% 0.50/0.67 apply zenon_G.
% 0.50/0.67 rewrite <- zenon_D_pnotp.
% 0.50/0.67 exact zenon_H27.
% 0.50/0.67 cut (((zero) = (zero))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 0.50/0.67 cut (((zero) = (c (one)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 0.50/0.67 congruence.
% 0.50/0.67 cut (((multiplication (c (one)) (one)) = (c (one))) = ((zero) = (c (one)))).
% 0.50/0.67 intro zenon_D_pnotp.
% 0.50/0.67 apply zenon_H29.
% 0.50/0.67 rewrite <- zenon_D_pnotp.
% 0.50/0.67 exact zenon_H19.
% 0.50/0.67 cut (((c (one)) = (c (one)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 0.50/0.67 cut (((multiplication (c (one)) (one)) = (zero))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 0.50/0.67 congruence.
% 0.50/0.67 exact (zenon_H2a zenon_H26).
% 0.50/0.67 apply zenon_H20. apply refl_equal.
% 0.50/0.67 apply zenon_H28. apply refl_equal.
% 0.50/0.67 apply zenon_H28. apply refl_equal.
% 0.50/0.67 exact (zenon_G zenon_H12).
% 0.50/0.67 Qed.
% 0.50/0.67 % SZS output end Proof
% 0.50/0.67 (* END-PROOF *)
% 0.50/0.67 nodes searched: 801
% 0.50/0.67 max branch formulas: 412
% 0.50/0.67 proof nodes created: 53
% 0.50/0.67 formulas created: 10054
% 0.50/0.67
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