TSTP Solution File: KRS178+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : KRS178+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n028.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 03:39:41 EDT 2022
% Result : Theorem 0.17s 0.48s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : KRS178+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.11 % Command : run_zenon %s %d
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Tue Jun 7 17:15:15 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.17/0.48 (* PROOF-FOUND *)
% 0.17/0.48 % SZS status Theorem
% 0.17/0.48 (* BEGIN-PROOF *)
% 0.17/0.48 % SZS output start Proof
% 0.17/0.48 Theorem isa_reflexive : (forall S1 : zenon_U, (isa S1 S1)).
% 0.17/0.48 Proof.
% 0.17/0.48 apply NNPP. intro zenon_G.
% 0.17/0.48 apply (zenon_notallex_s (fun S1 : zenon_U => (isa S1 S1)) zenon_G); [ zenon_intro zenon_He; idtac ].
% 0.17/0.48 elim zenon_He. zenon_intro zenon_TS1_p. zenon_intro zenon_H10.
% 0.17/0.48 generalize (isa zenon_TS1_p). zenon_intro zenon_H11.
% 0.17/0.48 generalize (zenon_H11 zenon_TS1_p). zenon_intro zenon_H12.
% 0.17/0.48 apply (zenon_equiv_s _ _ zenon_H12); [ zenon_intro zenon_H15; zenon_intro zenon_H10 | zenon_intro zenon_H14; zenon_intro zenon_H13 ].
% 0.17/0.48 apply (zenon_notallex_s (fun Ax : zenon_U => (forall C : zenon_U, ((status Ax C zenon_TS1_p)->(status Ax C zenon_TS1_p)))) zenon_H15); [ zenon_intro zenon_H16; idtac ].
% 0.17/0.48 elim zenon_H16. zenon_intro zenon_TAx_x. zenon_intro zenon_H18.
% 0.17/0.48 apply (zenon_notallex_s (fun C : zenon_U => ((status zenon_TAx_x C zenon_TS1_p)->(status zenon_TAx_x C zenon_TS1_p))) zenon_H18); [ zenon_intro zenon_H19; idtac ].
% 0.17/0.48 elim zenon_H19. zenon_intro zenon_TC_ba. zenon_intro zenon_H1b.
% 0.17/0.48 apply (zenon_notimply_s _ _ zenon_H1b). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 0.17/0.48 exact (zenon_H1c zenon_H1d).
% 0.17/0.48 exact (zenon_H10 zenon_H13).
% 0.17/0.48 Qed.
% 0.17/0.48 % SZS output end Proof
% 0.17/0.48 (* END-PROOF *)
% 0.17/0.48 nodes searched: 30
% 0.17/0.48 max branch formulas: 51
% 0.17/0.48 proof nodes created: 6
% 0.17/0.48 formulas created: 487
% 0.17/0.48
%------------------------------------------------------------------------------