TSTP Solution File: SWV840-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV840-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 22:42:50 EDT 2023

% Result   : Unsatisfiable 7.70s 1.60s
% Output   : CNFRefutation 7.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (  10 unt;   0 nHn;   7 RR)
%            Number of literals    :   15 (   3 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;   9 con; 0-3 aty)
%            Number of variables   :   17 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_139,plain,
    c_Collect(X0,X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).

cnf(c_273,plain,
    c_lessequals(X0,c_Set_Oinsert(X1,X0,X2),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).

cnf(c_403,plain,
    ( ~ c_lessequals(X0,X1,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2)
    | c_Hoare__Mirabelle_Ohoare__derivs(X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_thin_0) ).

cnf(c_419,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/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).

cnf(c_488,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_489,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_3754,plain,
    c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = hAPP(c_fequal(X1),X0),
    inference(demodulation,[status(thm)],[c_419,c_139]) ).

cnf(c_4424,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),t_a),
    inference(demodulation,[status(thm)],[c_488,c_3754]) ).

cnf(c_4656,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),t_a),
    inference(demodulation,[status(thm)],[c_489,c_3754]) ).

cnf(c_18371,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
    | c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(X3,X0,tc_Hoare__Mirabelle_Otriple(X2)),X1,X2) ),
    inference(superposition,[status(thm)],[c_273,c_403]) ).

cnf(c_19163,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),t_a),
    inference(superposition,[status(thm)],[c_18371,c_4656]) ).

cnf(c_19165,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_4424,c_19163]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem  : SWV840-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.10  % Command  : run_iprover %s %d THM
% 0.09/0.29  % Computer : n017.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Tue Aug 29 04:59:28 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.14/0.39  Running first-order theorem proving
% 0.14/0.39  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.70/1.60  % SZS status Started for theBenchmark.p
% 7.70/1.60  % SZS status Unsatisfiable for theBenchmark.p
% 7.70/1.60  
% 7.70/1.60  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.70/1.60  
% 7.70/1.60  ------  iProver source info
% 7.70/1.60  
% 7.70/1.60  git: date: 2023-05-31 18:12:56 +0000
% 7.70/1.60  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.70/1.60  git: non_committed_changes: false
% 7.70/1.60  git: last_make_outside_of_git: false
% 7.70/1.60  
% 7.70/1.60  ------ Parsing...successful
% 7.70/1.60  
% 7.70/1.60  
% 7.70/1.60  
% 7.70/1.60  ------ Preprocessing... sup_sim: 76  sf_s  rm: 40 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 7.70/1.60  
% 7.70/1.60  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.70/1.60  
% 7.70/1.60  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.70/1.60  ------ Proving...
% 7.70/1.60  ------ Problem Properties 
% 7.70/1.60  
% 7.70/1.60  
% 7.70/1.60  clauses                                 334
% 7.70/1.60  conjectures                             0
% 7.70/1.60  EPR                                     29
% 7.70/1.60  Horn                                    295
% 7.70/1.60  unary                                   125
% 7.70/1.60  binary                                  121
% 7.70/1.60  lits                                    645
% 7.70/1.60  lits eq                                 214
% 7.70/1.60  fd_pure                                 0
% 7.70/1.60  fd_pseudo                               0
% 7.70/1.60  fd_cond                                 0
% 7.70/1.60  fd_pseudo_cond                          46
% 7.70/1.60  AC symbols                              0
% 7.70/1.60  
% 7.70/1.60  ------ Input Options Time Limit: Unbounded
% 7.70/1.60  
% 7.70/1.60  
% 7.70/1.60  ------ 
% 7.70/1.60  Current options:
% 7.70/1.60  ------ 
% 7.70/1.60  
% 7.70/1.60  
% 7.70/1.60  
% 7.70/1.60  
% 7.70/1.60  ------ Proving...
% 7.70/1.60  
% 7.70/1.60  
% 7.70/1.60  % SZS status Unsatisfiable for theBenchmark.p
% 7.70/1.60  
% 7.70/1.60  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.70/1.60  
% 7.70/1.60  
%------------------------------------------------------------------------------