TSTP Solution File: SWV911-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV911-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 22:43:04 EDT 2023

% Result   : Unsatisfiable 7.76s 1.67s
% Output   : CNFRefutation 7.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   26 (  13 unt;   1 nHn;  23 RR)
%            Number of literals    :   41 (   3 equ;  26 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  10 con; 0-4 aty)
%            Number of variables   :   30 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_251,plain,
    c_Collect(X0,X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).

cnf(c_509,plain,
    hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_Collect(hAPP(c_fequal(X0),X1),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).

cnf(c_576,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_577,negated_conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_578,negated_conjecture,
    ( hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
    | hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_579,negated_conjecture,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X0,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_580,negated_conjecture,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X0,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_581,negated_conjecture,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
    | ~ hBOOL(hAPP(hAPP(X0,X2),v_xa))
    | hBOOL(hAPP(hAPP(X1,X2),v_xb(X0,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_3457,plain,
    hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = hAPP(c_fequal(X0),X1),
    inference(demodulation,[status(thm)],[c_509,c_251]) ).

cnf(c_3688,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),t_a),
    inference(demodulation,[status(thm)],[c_577,c_3457]) ).

cnf(c_3689,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),t_a),
    inference(demodulation,[status(thm)],[c_576,c_3457]) ).

cnf(c_4370,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),t_a)
    | ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X0,X1))) ),
    inference(demodulation,[status(thm)],[c_580,c_3457]) ).

cnf(c_4375,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),t_a)
    | ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X0,X1))) ),
    inference(demodulation,[status(thm)],[c_579,c_3457]) ).

cnf(c_4601,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),t_a)
    | ~ hBOOL(hAPP(hAPP(X0,X2),v_xa))
    | hBOOL(hAPP(hAPP(X1,X2),v_xb(X0,X1))) ),
    inference(demodulation,[status(thm)],[c_581,c_3457]) ).

cnf(c_16279,plain,
    ( ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X0,X1)))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),t_a) ),
    inference(prop_impl_just,[status(thm)],[c_4375]) ).

cnf(c_16280,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),t_a)
    | ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X0,X1))) ),
    inference(renaming,[status(thm)],[c_16279]) ).

cnf(c_16281,plain,
    ( ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X0,X1)))
    | ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),t_a) ),
    inference(prop_impl_just,[status(thm)],[c_4370]) ).

cnf(c_16282,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),t_a)
    | ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X0,X1))) ),
    inference(renaming,[status(thm)],[c_16281]) ).

cnf(c_28058,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P_H,X0),v_xa))
    | hBOOL(hAPP(hAPP(v_Q_H,X0),v_xb(v_P_H,v_Q_H))) ),
    inference(superposition,[status(thm)],[c_3688,c_4601]) ).

cnf(c_28059,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,X0),v_xa))
    | hBOOL(hAPP(hAPP(v_Q,X0),v_xb(v_P,v_Q))) ),
    inference(superposition,[status(thm)],[c_3689,c_4601]) ).

cnf(c_32178,plain,
    ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q))),
    inference(superposition,[status(thm)],[c_3689,c_16280]) ).

cnf(c_32562,plain,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
    inference(superposition,[status(thm)],[c_28059,c_32178]) ).

cnf(c_32574,plain,
    hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)),
    inference(backward_subsumption_resolution,[status(thm)],[c_578,c_32562]) ).

cnf(c_32683,plain,
    ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H))),
    inference(superposition,[status(thm)],[c_3688,c_16282]) ).

cnf(c_32884,plain,
    ~ hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)),
    inference(superposition,[status(thm)],[c_28058,c_32683]) ).

cnf(c_32895,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_32884,c_32574]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV911-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 04:22:29 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.76/1.67  % SZS status Started for theBenchmark.p
% 7.76/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 7.76/1.67  
% 7.76/1.67  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.76/1.67  
% 7.76/1.67  ------  iProver source info
% 7.76/1.67  
% 7.76/1.67  git: date: 2023-05-31 18:12:56 +0000
% 7.76/1.67  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.76/1.67  git: non_committed_changes: false
% 7.76/1.67  git: last_make_outside_of_git: false
% 7.76/1.67  
% 7.76/1.67  ------ Parsing...successful
% 7.76/1.67  
% 7.76/1.67  
% 7.76/1.67  
% 7.76/1.67  ------ Preprocessing... sup_sim: 101  sf_s  rm: 29 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 1  sf_s  rm: 7 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 7 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 7 0s  sf_e  pe_s  pe_e 
% 7.76/1.67  
% 7.76/1.67  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.76/1.67  
% 7.76/1.67  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.76/1.67  ------ Proving...
% 7.76/1.67  ------ Problem Properties 
% 7.76/1.67  
% 7.76/1.67  
% 7.76/1.67  clauses                                 421
% 7.76/1.67  conjectures                             1
% 7.76/1.67  EPR                                     46
% 7.76/1.67  Horn                                    361
% 7.76/1.67  unary                                   131
% 7.76/1.67  binary                                  146
% 7.76/1.67  lits                                    894
% 7.76/1.67  lits eq                                 235
% 7.76/1.67  fd_pure                                 0
% 7.76/1.67  fd_pseudo                               0
% 7.76/1.67  fd_cond                                 4
% 7.76/1.67  fd_pseudo_cond                          42
% 7.76/1.67  AC symbols                              0
% 7.76/1.67  
% 7.76/1.67  ------ Schedule dynamic 5 is on 
% 7.76/1.67  
% 7.76/1.67  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.76/1.67  
% 7.76/1.67  
% 7.76/1.67  ------ 
% 7.76/1.67  Current options:
% 7.76/1.67  ------ 
% 7.76/1.67  
% 7.76/1.67  
% 7.76/1.67  
% 7.76/1.67  
% 7.76/1.67  ------ Proving...
% 7.76/1.67  
% 7.76/1.67  
% 7.76/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 7.76/1.67  
% 7.76/1.67  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.76/1.67  
% 7.76/1.67  
%------------------------------------------------------------------------------