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SPASS---3.9.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : MGT116+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n026.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 : Tue Sep  8 06:20:03 AM UTC 2026

% Result   : Theorem 0.13s 0.42s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;  11 RR)
%            Number of literals    :   21 (   0 equ;  15 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  12 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(7,axiom,
    subjection(s),
    file('MGT116+1.p',unknown),
    [] ).

cnf(8,axiom,
    part_of(s,rho_r),
    file('MGT116+1.p',unknown),
    [] ).

cnf(9,axiom,
    ~ about_event(s,e1),
    file('MGT116+1.p',unknown),
    [] ).

cnf(10,axiom,
    founds_rem(e1,rho_r,f1),
    file('MGT116+1.p',unknown),
    [] ).

cnf(11,axiom,
    cnt(s,decl(some_action),some_target),
    file('MGT116+1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ subjection(u)
    | ~ part_of(u,v)
    | ~ founds_rem(w,v,x)
    | ~ cnt(u,decl(y),z)
    | about_event(u,w) ),
    file('MGT116+1.p',unknown),
    [] ).

cnf(13,plain,
    ( ~ subjection(s)
    | ~ cnt(s,decl(u),v)
    | ~ founds_rem(e1,w,x)
    | ~ part_of(s,w) ),
    inference(res,[status(thm),theory(equality)],[12,9]),
    [iquote('0:Res:12.4,9.0')] ).

cnf(14,plain,
    ( ~ part_of(s,u)
    | ~ founds_rem(e1,u,v)
    | ~ cnt(s,decl(w),x) ),
    inference(mrr,[status(thm)],[13,7]),
    [iquote('0:MRR:13.0,7.0')] ).

cnf(22,plain,
    ( ~ part_of(s,u)
    | ~ founds_rem(e1,u,v) ),
    inference(res,[status(thm),theory(equality)],[11,14]),
    [iquote('0:Res:11.0,14.2')] ).

cnf(23,plain,
    ~ part_of(s,rho_r),
    inference(res,[status(thm),theory(equality)],[10,22]),
    [iquote('0:Res:10.0,22.1')] ).

cnf(24,plain,
    $false,
    inference(mrr,[status(thm)],[23,8]),
    [iquote('0:MRR:23.0,8.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT116+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.04  % Command  : run_spass %d %s
% 0.07/0.33  % Computer : n026.cluster.edu
% 0.07/0.33  % Model    : x86_64 x86_64
% 0.07/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33  % Memory   : 8046.5625MB
% 0.07/0.33  % OS       : Linux 6.8.0-71-generic
% 0.07/0.33  % CPULimit : 300
% 0.07/0.33  % WCLimit  : 300
% 0.07/0.33  % DateTime : Mon Sep  7 14:11:42 UTC 2026
% 0.07/0.34  % CPUTime  : 
% 0.13/0.42  
% 0.13/0.42  SPASS V 3.9 
% 0.13/0.42  SPASS beiseite: Proof found.
% 0.13/0.42  % SZS status Theorem
% 0.13/0.42  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.13/0.42  SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 15 clauses.
% 0.13/0.42  SPASS allocated 97630 KBytes.
% 0.13/0.42  SPASS spent	0:00:00.08 on the problem.
% 0.13/0.42  		0:00:00.03 for the input.
% 0.13/0.42  		0:00:00.02 for the FLOTTER CNF translation.
% 0.13/0.42  		0:00:00.00 for inferences.
% 0.13/0.42  		0:00:00.00 for the backtracking.
% 0.13/0.42  		0:00:00.00 for the reduction.
% 0.13/0.42  
% 0.13/0.42  
% 0.13/0.42  Here is a proof with depth 3, length 11 :
% 0.13/0.42  % SZS output start Refutation
% See solution above
% 0.13/0.42  Formulae used in the proof : subj_s partof_s conjecture founds_rem1 cnt_s ax_B3
% 0.13/0.42  
%------------------------------------------------------------------------------