%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV913-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% 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 : Wed Jul 20 21:45:35 EDT 2022

% Result   : Unsatisfiable 0.44s 0.61s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   8 unt;   0 nHn;   9 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(103,axiom,
    equal(c_Collect(u,v),u),
    file('SWV913-1.p',unknown),
    [] ).

cnf(348,axiom,
    c_lessequals(u,u,tc_fun(v,tc_bool)),
    file('SWV913-1.p',unknown),
    [] ).

cnf(431,axiom,
    ( ~ c_lessequals(u,v,tc_fun(tc_Hoare__Mirabelle_Otriple(w),tc_bool))
    | c_Hoare__Mirabelle_Ohoare__derivs(v,u,w) ),
    file('SWV913-1.p',unknown),
    [] ).

cnf(450,axiom,
    equal(hAPP(hAPP(c_Set_Oinsert(u),v),c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool))),c_Collect(c_fequal(v,u),u)),
    file('SWV913-1.p',unknown),
    [] ).

cnf(521,axiom,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('SWV913-1.p',unknown),
    [] ).

cnf(526,plain,
    equal(hAPP(hAPP(c_Set_Oinsert(u),v),c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool))),c_fequal(v,u)),
    inference(rew,[status(thm),theory(equality)],[103,450]),
    [iquote('0:Rew:103.0,450.0')] ).

cnf(557,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    inference(rew,[status(thm),theory(equality)],[526,521]),
    [iquote('0:Rew:526.0,521.0')] ).

cnf(605,plain,
    ~ c_lessequals(c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),c_fequal(v_t,tc_Hoare__Mirabelle_Otriple(t_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    inference(res,[status(thm),theory(equality)],[431,557]),
    [iquote('0:Res:431.1,557.0')] ).

cnf(608,plain,
    $false,
    inference(mrr,[status(thm)],[605,348]),
    [iquote('0:MRR:605.0,348.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV913-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun 15 04:30:04 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.44/0.61  
% 0.44/0.61  SPASS V 3.9 
% 0.44/0.61  SPASS beiseite: Proof found.
% 0.44/0.61  % SZS status Theorem
% 0.44/0.61  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.44/0.61  SPASS derived 13 clauses, backtracked 0 clauses, performed 0 splits and kept 434 clauses.
% 0.44/0.61  SPASS allocated 76937 KBytes.
% 0.44/0.61  SPASS spent	0:00:00.24 on the problem.
% 0.44/0.61  		0:00:00.05 for the input.
% 0.44/0.61  		0:00:00.00 for the FLOTTER CNF translation.
% 0.44/0.61  		0:00:00.00 for inferences.
% 0.44/0.61  		0:00:00.00 for the backtracking.
% 0.44/0.61  		0:00:00.12 for the reduction.
% 0.44/0.61  
% 0.44/0.61  
% 0.44/0.61  Here is a proof with depth 1, length 9 :
% 0.44/0.61  % SZS output start Refutation
% See solution above
% 0.44/0.61  Formulae used in the proof : cls_Collect__def_0 cls_subset__refl_0 cls_asm_0 cls_singleton__conv2_0 cls_conjecture_0
% 0.44/0.61  
%------------------------------------------------------------------------------