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Z3---4.15.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : LCL853-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : run_E %s %d THM

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 03:01:06 PM UTC 2026

% Result   : Unsatisfiable 0.14s 0.41s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    3 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :    3 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(c_InductTermi_OIT_type,type,
    c_InductTermi_OIT: $i > $o ).

tff(v_s_____type,type,
    v_s____: $i ).

tff(1,axiom,
    ~ c_InductTermi_OIT(v_s____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

tff(2,axiom,
    c_InductTermi_OIT(v_s____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_App_I2_J_0) ).

tff(3,plain,
    $false,
    inference(unit_resolution,[status(thm)],[2,1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem    : LCL853-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03  % Command    : run_E %s %d THM
% 0.07/0.35  % Computer : n027.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit   : 300
% 0.07/0.35  % WCLimit    : 300
% 0.07/0.35  % DateTime   : Sat Sep  5 00:40:29 UTC 2026
% 0.07/0.35  % CPUTime    : 
% 0.14/0.41  % SZS status Unsatisfiable
% 0.14/0.41  % SZS output start Proof
% See solution above
% 0.14/0.41  % E exiting
%------------------------------------------------------------------------------