TSTP Solution File: SWV616-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV616-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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  : 300s
% DateTime : Fri May  3 03:19:32 EDT 2024

% Result   : Unsatisfiable 21.05s 3.66s
% Output   : CNFRefutation 21.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   24 (  16 unt;   0 nHn;   9 RR)
%            Number of literals    :   32 (  24 equ;  13 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :   31 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_467,plain,
    c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__commute_0) ).

cnf(c_877,plain,
    ( ~ class_OrderedGroup_Oab__group__add(X0)
    | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_0) ).

cnf(c_896,plain,
    ( ~ class_OrderedGroup_Omonoid__mult(X0)
    | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__mult_0) ).

cnf(c_920,plain,
    ( ~ class_RealVector_Oreal__normed__field(X0)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide_Ozero_0) ).

cnf(c_946,plain,
    ( ~ class_OrderedGroup_Omonoid__mult(X0)
    | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__one_0) ).

cnf(c_949,plain,
    c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_root__unity_0) ).

cnf(c_955,negated_conjecture,
    c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),v_n,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_n,tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_1067,plain,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field) ).

cnf(c_1072,plain,
    class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).

cnf(c_1075,plain,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).

cnf(c_11811,plain,
    c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),v_n,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(demodulation,[status(thm)],[c_955,c_949]) ).

cnf(c_13195,plain,
    ( X0 != tc_Complex_Ocomplex
    | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
    inference(resolution_lifted,[status(thm)],[c_946,c_1075]) ).

cnf(c_13196,plain,
    c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference(unflattening,[status(thm)],[c_13195]) ).

cnf(c_13213,plain,
    ( X0 != tc_Complex_Ocomplex
    | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
    inference(resolution_lifted,[status(thm)],[c_896,c_1075]) ).

cnf(c_13214,plain,
    c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_Complex_Ocomplex),
    inference(unflattening,[status(thm)],[c_13213]) ).

cnf(c_13478,plain,
    ( X0 != tc_Complex_Ocomplex
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
    inference(resolution_lifted,[status(thm)],[c_920,c_1067]) ).

cnf(c_13479,plain,
    c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(unflattening,[status(thm)],[c_13478]) ).

cnf(c_14051,plain,
    ( X0 != tc_Complex_Ocomplex
    | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
    inference(resolution_lifted,[status(thm)],[c_877,c_1072]) ).

cnf(c_14052,plain,
    c_HOL_Ominus__class_Ominus(X0,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(unflattening,[status(thm)],[c_14051]) ).

cnf(c_32472,plain,
    c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),c_HOL_Otimes__class_Otimes(v_n,v_k,tc_nat),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(demodulation,[status(thm)],[c_11811,c_467,c_13196,c_13214,c_13479,c_14052]) ).

cnf(c_64676,plain,
    c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X0),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
    inference(superposition,[status(thm)],[c_949,c_13214]) ).

cnf(c_64692,plain,
    c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(v_n),v_k,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(demodulation,[status(thm)],[c_32472,c_64676]) ).

cnf(c_64820,plain,
    c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(demodulation,[status(thm)],[c_64692,c_13196,c_13479,c_14052]) ).

cnf(c_64821,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_64820]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SWV616-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n011.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May  3 00:35:18 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 21.05/3.66  % SZS status Started for theBenchmark.p
% 21.05/3.66  % SZS status Unsatisfiable for theBenchmark.p
% 21.05/3.66  
% 21.05/3.66  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 21.05/3.66  
% 21.05/3.66  ------  iProver source info
% 21.05/3.66  
% 21.05/3.66  git: date: 2024-05-02 19:28:25 +0000
% 21.05/3.66  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 21.05/3.66  git: non_committed_changes: false
% 21.05/3.66  
% 21.05/3.66  ------ Parsing...successful
% 21.05/3.66  
% 21.05/3.66  
% 21.05/3.66  
% 21.05/3.66  ------ Preprocessing... sup_sim: 3  sf_s  rm: 11 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e  sup_sim: 149  sf_s  rm: 64 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 66 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 66 0s  sf_e  pe_s  pe_e 
% 21.05/3.66  
% 21.05/3.66  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 21.05/3.66  
% 21.05/3.66  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 21.05/3.66  ------ Proving...
% 21.05/3.66  ------ Problem Properties 
% 21.05/3.66  
% 21.05/3.66  
% 21.05/3.66  clauses                                 878
% 21.05/3.66  conjectures                             0
% 21.05/3.66  EPR                                     27
% 21.05/3.66  Horn                                    731
% 21.05/3.66  unary                                   313
% 21.05/3.66  binary                                  270
% 21.05/3.66  lits                                    1816
% 21.05/3.66  lits eq                                 565
% 21.05/3.66  fd_pure                                 0
% 21.05/3.66  fd_pseudo                               0
% 21.05/3.66  fd_cond                                 74
% 21.05/3.66  fd_pseudo_cond                          46
% 21.05/3.66  AC symbols                              0
% 21.05/3.66  
% 21.05/3.66  ------ Schedule dynamic 5 is on 
% 21.05/3.66  
% 21.05/3.66  ------ no conjectures: strip conj schedule 
% 21.05/3.66  
% 21.05/3.66  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 21.05/3.66  
% 21.05/3.66  
% 21.05/3.66  ------ 
% 21.05/3.66  Current options:
% 21.05/3.66  ------ 
% 21.05/3.66  
% 21.05/3.66  
% 21.05/3.66  
% 21.05/3.66  
% 21.05/3.66  ------ Proving...
% 21.05/3.66  
% 21.05/3.66  
% 21.05/3.66  % SZS status Unsatisfiable for theBenchmark.p
% 21.05/3.66  
% 21.05/3.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.05/3.66  
% 21.05/3.66  
%------------------------------------------------------------------------------