%------------------------------------------------------------------------------
% File     : SPASS+T---2.2.22
% Problem  : ITP019_1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : spasst-tptp-script %s %d

% Computer : n023.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 : Sun Jul 17 00:39:59 EDT 2022

% Result   : Theorem 1.06s 1.36s
% Output   : Refutation 1.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    9 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    1 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(40,axiom,
    mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Ereala(skc12),
    file('ITP019_1.p',unknown),
    [] ).

cnf(44,axiom,
    ~ equal(mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),skc12),
    file('ITP019_1.p',unknown),
    [] ).

cnf(45,axiom,
    equal(mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(skc12),mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)),
    file('ITP019_1.p',unknown),
    [] ).

cnf(103,axiom,
    ( ~ mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Ereala(U)
    | ~ equal(mono_2Ec_2Ecomplex_2Ecomplex__inv_2E1(U),mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))
    | equal(U,mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) ),
    file('ITP019_1.p',unknown),
    [] ).

cnf(159,plain,
    ( ~ mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Ereala(skc12)
    | equal(mono_2Ec_2Ecomplex_2Ecomplex__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),skc12) ),
    inference(res,[status(thm),theory(equality)],[45,103]),
    [iquote('0:Res:45.0,103.0')] ).

cnf(168,plain,
    $false,
    inference(mrr,[status(thm)],[159,40,44]),
    [iquote('0:MRR:159.0,159.1,40.0,44.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ITP019_1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.06/0.12  % Command  : spasst-tptp-script %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun  3 09:33:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.48  % Using EUF theory
% 1.06/1.36  
% 1.06/1.36  
% 1.06/1.36  % SZS status Theorem for /tmp/SPASST_5800_n023.cluster.edu
% 1.06/1.36  
% 1.06/1.36  SPASS V 2.2.22  in combination with yices.
% 1.06/1.36  SPASS beiseite: Proof found by SPASS.
% 1.06/1.36  Problem: /tmp/SPASST_5800_n023.cluster.edu 
% 1.06/1.36  SPASS derived 14 clauses, backtracked 0 clauses and kept 149 clauses.
% 1.06/1.36  SPASS backtracked 0 times (0 times due to theory inconsistency).
% 1.06/1.36  SPASS allocated 6839 KBytes.
% 1.06/1.36  SPASS spent	0:00:00.04 on the problem.
% 1.06/1.36  		0:00:00.01 for the input.
% 1.06/1.36  		0:00:00.02 for the FLOTTER CNF translation.
% 1.06/1.36  		0:00:00.00 for inferences.
% 1.06/1.36  		0:00:00.00 for the backtracking.
% 1.06/1.36  		0:00:00.01 for the reduction.
% 1.06/1.36  		0:00:00.00 for interacting with the SMT procedure.
% 1.06/1.36  		
% 1.06/1.36  
% 1.06/1.36  % SZS output start CNFRefutation for /tmp/SPASST_5800_n023.cluster.edu
% See solution above
% 1.06/1.36  
% 1.06/1.36  Formulae used in the proof : fof_thm_2Ecomplex_2ECOMPLEX__INV__NZ fof_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0
% 1.06/1.38  
% 1.06/1.38  SPASS+T ended
%------------------------------------------------------------------------------