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 : 
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%----WARNING: Could not form TPTP format derivation
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%----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  
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