%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SCT027-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n003.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 22:13:05 EDT 2022

% Result   : Unsatisfiable 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    6 (   3 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(659,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),c_Arrow__Order__Mirabelle_OLin)),
    file('SCT027-1.p',unknown),
    [] ).

cnf(700,axiom,
    ~ v_thesis____,
    file('SCT027-1.p',unknown),
    [] ).

cnf(701,axiom,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),u),c_Arrow__Order__Mirabelle_OLin))
    | v_thesis____ ),
    file('SCT027-1.p',unknown),
    [] ).

cnf(702,plain,
    ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),u),c_Arrow__Order__Mirabelle_OLin)),
    inference(mrr,[status(thm)],[701,700]),
    [iquote('0:MRR:701.1,700.0')] ).

cnf(703,plain,
    $false,
    inference(unc,[status(thm)],[702,659]),
    [iquote('0:UnC:702.0,659.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SCT027-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.11  % Command  : run_spass %d %s
% 0.12/0.32  % Computer : n003.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sat Jul  2 09:18:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.53  
% 0.18/0.53  SPASS V 3.9 
% 0.18/0.53  SPASS beiseite: Proof found.
% 0.18/0.53  % SZS status Theorem
% 0.18/0.53  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.53  SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 106 clauses.
% 0.18/0.53  SPASS allocated 77085 KBytes.
% 0.18/0.53  SPASS spent	0:00:00.18 on the problem.
% 0.18/0.53  		0:00:00.07 for the input.
% 0.18/0.53  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.53  		0:00:00.00 for inferences.
% 0.18/0.53  		0:00:00.00 for the backtracking.
% 0.18/0.53  		0:00:00.03 for the reduction.
% 0.18/0.53  
% 0.18/0.53  
% 0.18/0.53  Here is a proof with depth 0, length 5 :
% 0.18/0.53  % SZS output start Refutation
% See solution above
% 0.18/0.53  Formulae used in the proof : cls_linear__alt_0 cls_conjecture_0 cls_conjecture_1
% 0.18/0.53  
%------------------------------------------------------------------------------