TSTP Solution File: SWV906-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV906-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 : Thu Aug 31 22:43:03 EDT 2023

% Result   : Unsatisfiable 25.12s 4.21s
% Output   : CNFRefutation 25.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   21 (  15 unt;   1 nHn;  15 RR)
%            Number of literals    :   29 (  10 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;   8 con; 0-3 aty)
%            Number of variables   :   18 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_163,plain,
    c_Collect(X0,X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).

cnf(c_302,plain,
    c_Option_Ooption_OSome(X0,X1) != c_Option_Ooption_ONone(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_option_Osimps_I2_J_0) ).

cnf(c_446,plain,
    c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Collect(hAPP(c_fequal(X1),X0),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).

cnf(c_483,plain,
    c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Option_Oset(c_Option_Ooption_OSome(X0,X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Option_Oset_Osimps_I2_J_0) ).

cnf(c_484,plain,
    ( hAPP(c_Com_Obody,X0) = c_Option_Ooption_ONone(tc_Com_Ocom)
    | c_Com_OWT(hAPP(c_Com_Ocom_OBODY,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT_OBody_0) ).

cnf(c_499,plain,
    ( ~ c_Com_OWT(X0)
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | ~ c_Com_OWT__bodies
    | c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MGF_0) ).

cnf(c_522,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_523,negated_conjecture,
    c_Com_OWT__bodies,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_525,negated_conjecture,
    hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_OSome(v_y,tc_Com_Ocom),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_527,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_919,plain,
    ( ~ c_Com_OWT(X0)
    | c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(global_subsumption_just,[status(thm)],[c_499,c_523,c_522,c_499]) ).

cnf(c_1253,plain,
    ( ~ c_Com_OWT(X0)
    | c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,X0),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
    inference(prop_impl_just,[status(thm)],[c_919]) ).

cnf(c_3858,plain,
    c_Collect(hAPP(c_fequal(X0),X1),X0) = c_Option_Oset(c_Option_Ooption_OSome(X1,X0),X0),
    inference(light_normalisation,[status(thm)],[c_446,c_483]) ).

cnf(c_3859,plain,
    c_Option_Oset(c_Option_Ooption_OSome(X0,X1),X1) = hAPP(c_fequal(X1),X0),
    inference(demodulation,[status(thm)],[c_3858,c_163]) ).

cnf(c_3868,plain,
    ( ~ c_Com_OWT(X0)
    | c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),tc_Com_Ostate) ),
    inference(demodulation,[status(thm)],[c_1253,c_483,c_3859]) ).

cnf(c_3869,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pn))),tc_Com_Ostate),
    inference(demodulation,[status(thm)],[c_527,c_483,c_3859]) ).

cnf(c_8025,plain,
    ( ~ c_Com_OWT(X0)
    | c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),tc_Com_Ostate) ),
    inference(prop_impl_just,[status(thm)],[c_3868]) ).

cnf(c_21454,plain,
    hAPP(c_Com_Obody,v_pn) != c_Option_Ooption_ONone(tc_Com_Ocom),
    inference(superposition,[status(thm)],[c_525,c_302]) ).

cnf(c_56396,plain,
    ~ c_Com_OWT(hAPP(c_Com_Ocom_OBODY,v_pn)),
    inference(superposition,[status(thm)],[c_8025,c_3869]) ).

cnf(c_57613,plain,
    hAPP(c_Com_Obody,v_pn) = c_Option_Ooption_ONone(tc_Com_Ocom),
    inference(superposition,[status(thm)],[c_484,c_56396]) ).

cnf(c_57614,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_57613,c_21454]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV906-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 08:56:33 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 25.12/4.21  % SZS status Started for theBenchmark.p
% 25.12/4.21  % SZS status Unsatisfiable for theBenchmark.p
% 25.12/4.21  
% 25.12/4.21  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 25.12/4.21  
% 25.12/4.21  ------  iProver source info
% 25.12/4.21  
% 25.12/4.21  git: date: 2023-05-31 18:12:56 +0000
% 25.12/4.21  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 25.12/4.21  git: non_committed_changes: false
% 25.12/4.21  git: last_make_outside_of_git: false
% 25.12/4.21  
% 25.12/4.21  ------ Parsing...successful
% 25.12/4.21  
% 25.12/4.21  
% 25.12/4.21  
% 25.12/4.21  ------ Preprocessing... sup_sim: 61  sf_s  rm: 18 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 3  sf_s  rm: 3 0s  sf_e  pe_s  pe_e  sup_sim: 2  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 25.12/4.21  
% 25.12/4.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 25.12/4.21  
% 25.12/4.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 25.12/4.21  ------ Proving...
% 25.12/4.21  ------ Problem Properties 
% 25.12/4.21  
% 25.12/4.21  
% 25.12/4.21  clauses                                 396
% 25.12/4.21  conjectures                             2
% 25.12/4.21  EPR                                     28
% 25.12/4.21  Horn                                    353
% 25.12/4.21  unary                                   144
% 25.12/4.21  binary                                  166
% 25.12/4.21  lits                                    746
% 25.12/4.21  lits eq                                 273
% 25.12/4.21  fd_pure                                 0
% 25.12/4.21  fd_pseudo                               0
% 25.12/4.21  fd_cond                                 4
% 25.12/4.21  fd_pseudo_cond                          56
% 25.12/4.21  AC symbols                              0
% 25.12/4.21  
% 25.12/4.21  ------ Input Options Time Limit: Unbounded
% 25.12/4.21  
% 25.12/4.21  
% 25.12/4.21  ------ 
% 25.12/4.21  Current options:
% 25.12/4.21  ------ 
% 25.12/4.21  
% 25.12/4.21  
% 25.12/4.21  
% 25.12/4.21  
% 25.12/4.21  ------ Proving...
% 25.12/4.21  
% 25.12/4.21  
% 25.12/4.21  % SZS status Unsatisfiable for theBenchmark.p
% 25.12/4.21  
% 25.12/4.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.12/4.21  
% 25.12/4.21  
%------------------------------------------------------------------------------