TSTP Solution File: SWV885-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV885-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 22:42:59 EDT 2023

% Result   : Unsatisfiable 12.54s 2.83s
% Output   : CNFRefutation 12.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   17 (  12 unt;   1 nHn;  15 RR)
%            Number of literals    :   24 (  10 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-4 aty)
%            Number of variables   :   12 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_1050,plain,
    c_HOL_Ominus__class_Ominus(c_Suc(X0),c_Suc(X1),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__Suc__Suc_0) ).

cnf(c_1057,plain,
    ( ~ c_lessequals(X0,X1,tc_nat)
    | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__diff__le_0) ).

cnf(c_1062,plain,
    ( ~ c_lessequals(X0,c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | c_Finite__Set_Ofinite(X0,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__surj_0) ).

cnf(c_1070,plain,
    ( ~ c_Finite__Set_Ofinite(X0,X1)
    | c_Finite__Set_Ocard(c_Set_Oinsert(X2,X0,X1),X1) = c_Suc(c_Finite__Set_Ocard(X0,X1))
    | c_in(X2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_card__insert__if_1) ).

cnf(c_1104,negated_conjecture,
    c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_1105,negated_conjecture,
    c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_1106,negated_conjecture,
    c_lessequals(c_Suc(v_na),c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_1107,negated_conjecture,
    c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat) = c_Finite__Set_Ocard(v_G,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_1109,negated_conjecture,
    ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_1110,negated_conjecture,
    c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat) != c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(c_24781,plain,
    c_Suc(c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)),c_Suc(v_na),tc_nat),
    inference(superposition,[status(thm)],[c_1106,c_1057]) ).

cnf(c_24879,plain,
    ( ~ c_Finite__Set_Ofinite(v_U,tc_Com_Opname)
    | c_Finite__Set_Ofinite(v_G,t_a) ),
    inference(superposition,[status(thm)],[c_1105,c_1062]) ).

cnf(c_25167,plain,
    ( ~ c_Finite__Set_Ofinite(v_G,t_a)
    | c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a) = c_Suc(c_Finite__Set_Ocard(v_G,t_a)) ),
    inference(superposition,[status(thm)],[c_1070,c_1109]) ).

cnf(c_33422,plain,
    c_Suc(c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),c_Suc(v_na),tc_nat)) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat),
    inference(demodulation,[status(thm)],[c_24781,c_1050]) ).

cnf(c_33423,plain,
    c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_na,tc_nat) = c_Suc(c_Finite__Set_Ocard(v_G,t_a)),
    inference(light_normalisation,[status(thm)],[c_33422,c_1107]) ).

cnf(c_33460,plain,
    c_Finite__Set_Ocard(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),t_a) != c_Suc(c_Finite__Set_Ocard(v_G,t_a)),
    inference(superposition,[status(thm)],[c_33423,c_1110]) ).

cnf(c_33463,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_33460,c_25167,c_24879,c_1104]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.19  % Problem  : SWV885-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.21  % Command  : run_iprover %s %d THM
% 0.18/0.44  % Computer : n008.cluster.edu
% 0.18/0.44  % Model    : x86_64 x86_64
% 0.18/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44  % Memory   : 8042.1875MB
% 0.18/0.44  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.44  % CPULimit : 300
% 0.18/0.44  % WCLimit  : 300
% 0.18/0.44  % DateTime : Tue Aug 29 03:44:33 EDT 2023
% 0.18/0.45  % CPUTime  : 
% 0.27/0.58  Running first-order theorem proving
% 0.27/0.58  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 12.54/2.83  % SZS status Started for theBenchmark.p
% 12.54/2.83  % SZS status Unsatisfiable for theBenchmark.p
% 12.54/2.83  
% 12.54/2.83  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 12.54/2.83  
% 12.54/2.83  ------  iProver source info
% 12.54/2.83  
% 12.54/2.83  git: date: 2023-05-31 18:12:56 +0000
% 12.54/2.83  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 12.54/2.83  git: non_committed_changes: false
% 12.54/2.83  git: last_make_outside_of_git: false
% 12.54/2.83  
% 12.54/2.83  ------ Parsing...successful
% 12.54/2.83  
% 12.54/2.83  
% 12.54/2.83  
% 12.54/2.83  ------ Preprocessing... sup_sim: 44  sf_s  rm: 125 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 
% 12.54/2.83  
% 12.54/2.83  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 12.54/2.83  
% 12.54/2.83  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 12.54/2.83  ------ Proving...
% 12.54/2.83  ------ Problem Properties 
% 12.54/2.83  
% 12.54/2.83  
% 12.54/2.83  clauses                                 642
% 12.54/2.83  conjectures                             7
% 12.54/2.83  EPR                                     52
% 12.54/2.83  Horn                                    556
% 12.54/2.83  unary                                   185
% 12.54/2.83  binary                                  245
% 12.54/2.83  lits                                    1356
% 12.54/2.83  lits eq                                 362
% 12.54/2.83  fd_pure                                 0
% 12.54/2.83  fd_pseudo                               0
% 12.54/2.83  fd_cond                                 26
% 12.54/2.83  fd_pseudo_cond                          51
% 12.54/2.83  AC symbols                              0
% 12.54/2.83  
% 12.54/2.83  ------ Input Options Time Limit: Unbounded
% 12.54/2.83  
% 12.54/2.83  
% 12.54/2.83  ------ 
% 12.54/2.83  Current options:
% 12.54/2.83  ------ 
% 12.54/2.83  
% 12.54/2.83  
% 12.54/2.83  
% 12.54/2.83  
% 12.54/2.83  ------ Proving...
% 12.54/2.83  
% 12.54/2.83  
% 12.54/2.83  % SZS status Unsatisfiable for theBenchmark.p
% 12.54/2.83  
% 12.54/2.83  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.54/2.83  
% 12.54/2.83  
%------------------------------------------------------------------------------