%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n020.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 : Mon Jul 18 15:59:57 EDT 2022

% Result   : Theorem 0.92s 1.10s
% Output   : Proof 0.92s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jul  6 14:53:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.92/1.10  (* PROOF-FOUND *)
% 0.92/1.10  % SZS status Theorem
% 0.92/1.10  (* BEGIN-PROOF *)
% 0.92/1.10  % SZS output start Proof
% 0.92/1.10  Theorem holds(286, 441, 4) : ((vplus (vmul (vd436) (vd437)) (vplus (vmul (vd436) (vd439)) (vd436))) = (vplus (vmul (vd436) (vd437)) (vmul (vd436) (vsucc (vd439))))).
% 0.92/1.10  Proof.
% 0.92/1.10  apply NNPP. intro zenon_G.
% 0.92/1.10  cut (((vplus (vmul (vd436) (vd439)) (vd436)) = (vmul (vd436) (vsucc (vd439))))); [idtac | apply NNPP; zenon_intro zenon_H10].
% 0.92/1.10  cut (((vmul (vd436) (vd437)) = (vmul (vd436) (vd437)))); [idtac | apply NNPP; zenon_intro zenon_H11].
% 0.92/1.10  congruence.
% 0.92/1.10  apply zenon_H11. apply refl_equal.
% 0.92/1.10  generalize (qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))) (vd436)). zenon_intro zenon_H12.
% 0.92/1.10  generalize (zenon_H12 (vd439)). zenon_intro zenon_H13.
% 0.92/1.10  apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.92/1.10  apply zenon_H10. apply sym_equal. exact zenon_H15.
% 0.92/1.10  Qed.
% 0.92/1.10  % SZS output end Proof
% 0.92/1.10  (* END-PROOF *)
% 0.92/1.10  nodes searched: 3035
% 0.92/1.10  max branch formulas: 725
% 0.92/1.10  proof nodes created: 79
% 0.92/1.10  formulas created: 31204
% 0.92/1.10  
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