%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : ALG428-1 : TPTP v8.1.0. Released v4.1.0.
% 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   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 18:03:38 EDT 2022

% Result   : Unsatisfiable 0.36s 0.61s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   1 nHn;   9 RR)
%            Number of literals    :   12 (   0 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(78,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),u,tc_nat)
    | equal(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)),u) ),
    file('ALG428-1.p',unknown),
    [] ).

cnf(667,axiom,
    ( equal(u,c_HOL_Ozero__class_Ozero(tc_nat))
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),u,tc_nat) ),
    file('ALG428-1.p',unknown),
    [] ).

cnf(791,axiom,
    ~ equal(c_Polynomial_Odegree(v,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat)),
    file('ALG428-1.p',unknown),
    [] ).

cnf(890,axiom,
    ~ v_thesis____,
    file('ALG428-1.p',unknown),
    [] ).

cnf(891,axiom,
    ( ~ equal(c_Polynomial_Odegree(v,tc_Complex_Ocomplex),c_Suc(u))
    | v_thesis____ ),
    file('ALG428-1.p',unknown),
    [] ).

cnf(892,plain,
    ~ equal(c_Polynomial_Odegree(v,tc_Complex_Ocomplex),c_Suc(u)),
    inference(mrr,[status(thm)],[891,890]),
    [iquote('0:MRR:891.1,890.0')] ).

cnf(981,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v,tc_Complex_Ocomplex),tc_nat),
    inference(res,[status(thm),theory(equality)],[78,892]),
    [iquote('0:Res:78.1,892.0')] ).

cnf(1076,plain,
    equal(c_Polynomial_Odegree(v,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat)),
    inference(res,[status(thm),theory(equality)],[667,981]),
    [iquote('0:Res:667.1,981.0')] ).

cnf(1080,plain,
    $false,
    inference(mrr,[status(thm)],[1076,791]),
    [iquote('0:MRR:1076.0,791.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG428-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun  8 06:08:47 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.36/0.61  
% 0.36/0.61  SPASS V 3.9 
% 0.36/0.61  SPASS beiseite: Proof found.
% 0.36/0.61  % SZS status Theorem
% 0.36/0.61  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.36/0.61  SPASS derived 89 clauses, backtracked 0 clauses, performed 0 splits and kept 743 clauses.
% 0.36/0.61  SPASS allocated 77046 KBytes.
% 0.36/0.61  SPASS spent	0:00:00.25 on the problem.
% 0.36/0.61  		0:00:00.07 for the input.
% 0.36/0.61  		0:00:00.00 for the FLOTTER CNF translation.
% 0.36/0.61  		0:00:00.00 for inferences.
% 0.36/0.61  		0:00:00.00 for the backtracking.
% 0.36/0.61  		0:00:00.11 for the reduction.
% 0.36/0.61  
% 0.36/0.61  
% 0.36/0.61  Here is a proof with depth 2, length 9 :
% 0.36/0.61  % SZS output start Refutation
% See solution above
% 0.36/0.61  Formulae used in the proof : cls_Suc__pred_0 cls_gr0I_0 cls_CHAINED_0 cls_conjecture_0 cls_conjecture_1
% 0.36/0.61  
%------------------------------------------------------------------------------