TSTP Solution File: ANA016-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : ANA016-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 : Wed Aug 30 17:18:02 EDT 2023

% Result   : Unsatisfiable 0.46s 1.15s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   25 (   8 unt;   5 nHn;  10 RR)
%            Number of literals    :   46 (  29 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   43 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    v_c != c_0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_50,negated_conjecture,
    c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a) != v_g(v_x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_51,negated_conjecture,
    class_Ring__and__Field_Oordered__field(t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(c_52,plain,
    ( ~ class_OrderedGroup_Omonoid__mult(X0)
    | c_times(c_1,X1,X0) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).

cnf(c_53,plain,
    ( ~ class_OrderedGroup_Osemigroup__mult(X0)
    | c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).

cnf(c_54,plain,
    ( ~ class_Ring__and__Field_Ofield(X0)
    | c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1
    | X1 = c_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oright__inverse_0) ).

cnf(c_55,plain,
    ( ~ class_Ring__and__Field_Ofield(X0)
    | class_OrderedGroup_Omonoid__mult(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_12) ).

cnf(c_56,plain,
    ( ~ class_Ring__and__Field_Ofield(X0)
    | class_OrderedGroup_Osemigroup__mult(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).

cnf(c_57,plain,
    ( ~ class_Ring__and__Field_Oordered__field(X0)
    | class_Ring__and__Field_Ofield(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).

cnf(c_127,plain,
    ( X0 != t_a
    | class_Ring__and__Field_Ofield(X0) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_57]) ).

cnf(c_128,plain,
    class_Ring__and__Field_Ofield(t_a),
    inference(unflattening,[status(thm)],[c_127]) ).

cnf(c_133,plain,
    ( X0 != X1
    | ~ class_Ring__and__Field_Ofield(X0)
    | c_times(c_1,X2,X1) = X2 ),
    inference(resolution_lifted,[status(thm)],[c_55,c_52]) ).

cnf(c_134,plain,
    ( ~ class_Ring__and__Field_Ofield(X0)
    | c_times(c_1,X1,X0) = X1 ),
    inference(unflattening,[status(thm)],[c_133]) ).

cnf(c_144,plain,
    ( X0 != X1
    | ~ class_Ring__and__Field_Ofield(X0)
    | c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_53]) ).

cnf(c_145,plain,
    ( ~ class_Ring__and__Field_Ofield(X0)
    | c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
    inference(unflattening,[status(thm)],[c_144]) ).

cnf(c_155,plain,
    ( X0 != t_a
    | c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
    inference(resolution_lifted,[status(thm)],[c_145,c_128]) ).

cnf(c_156,plain,
    c_times(c_times(X0,X1,t_a),X2,t_a) = c_times(X0,c_times(X1,X2,t_a),t_a),
    inference(unflattening,[status(thm)],[c_155]) ).

cnf(c_161,plain,
    ( X0 != t_a
    | c_times(c_1,X1,X0) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_134,c_128]) ).

cnf(c_162,plain,
    c_times(c_1,X0,t_a) = X0,
    inference(unflattening,[status(thm)],[c_161]) ).

cnf(c_167,plain,
    ( X0 != t_a
    | c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1
    | X1 = c_0 ),
    inference(resolution_lifted,[status(thm)],[c_54,c_128]) ).

cnf(c_168,plain,
    ( c_times(X0,c_HOL_Oinverse(X0,t_a),t_a) = c_1
    | X0 = c_0 ),
    inference(unflattening,[status(thm)],[c_167]) ).

cnf(c_255,plain,
    ( c_times(X0,c_times(c_HOL_Oinverse(X0,t_a),X1,t_a),t_a) = c_times(c_1,X1,t_a)
    | X0 = c_0 ),
    inference(superposition,[status(thm)],[c_168,c_156]) ).

cnf(c_270,plain,
    ( c_times(X0,c_times(c_HOL_Oinverse(X0,t_a),X1,t_a),t_a) = X1
    | X0 = c_0 ),
    inference(demodulation,[status(thm)],[c_255,c_162]) ).

cnf(c_280,plain,
    v_c = c_0,
    inference(superposition,[status(thm)],[c_270,c_50]) ).

cnf(c_285,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_280,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ANA016-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n002.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri Aug 25 18:22:17 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.46/1.15  % SZS status Started for theBenchmark.p
% 0.46/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.15  
% 0.46/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.46/1.15  
% 0.46/1.15  ------  iProver source info
% 0.46/1.15  
% 0.46/1.15  git: date: 2023-05-31 18:12:56 +0000
% 0.46/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.46/1.15  git: non_committed_changes: false
% 0.46/1.15  git: last_make_outside_of_git: false
% 0.46/1.15  
% 0.46/1.15  ------ Parsing...successful
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 0.46/1.15  
% 0.46/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.46/1.15  
% 0.46/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.46/1.15  ------ Proving...
% 0.46/1.15  ------ Problem Properties 
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  clauses                                 5
% 0.46/1.15  conjectures                             2
% 0.46/1.15  EPR                                     1
% 0.46/1.15  Horn                                    4
% 0.46/1.15  unary                                   4
% 0.46/1.15  binary                                  1
% 0.46/1.15  lits                                    6
% 0.46/1.15  lits eq                                 6
% 0.46/1.15  fd_pure                                 0
% 0.46/1.15  fd_pseudo                               0
% 0.46/1.15  fd_cond                                 1
% 0.46/1.15  fd_pseudo_cond                          0
% 0.46/1.15  AC symbols                              0
% 0.46/1.15  
% 0.46/1.15  ------ Schedule dynamic 5 is on 
% 0.46/1.15  
% 0.46/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  ------ 
% 0.46/1.15  Current options:
% 0.46/1.15  ------ 
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  ------ Proving...
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.15  
% 0.46/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.15  
% 0.46/1.15  
%------------------------------------------------------------------------------