TSTP Solution File: ANA010-2 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : ANA010-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 17:18:00 EDT 2023

% Result   : Unsatisfiable 1.88s 1.17s
% Output   : CNFRefutation 1.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   25 (  11 unt;   0 nHn;  19 RR)
%            Number of literals    :   46 (  13 equ;  24 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   36 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ c_lessequals(c_0,X0,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
    | c_HOL_Oabs(X0,X1) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).

cnf(c_50,plain,
    ( ~ c_lessequals(X0,X1,X2)
    | ~ c_lessequals(X3,X0,X2)
    | ~ class_Orderings_Oorder(X2)
    | c_lessequals(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

cnf(c_51,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_times(X1,X2,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).

cnf(c_52,negated_conjecture,
    c_lessequals(c_0,v_f(X0),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_53,negated_conjecture,
    c_lessequals(v_f(X0),c_times(v_c,v_g(X0),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_54,negated_conjecture,
    ~ c_lessequals(v_f(v_x(X0)),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_55,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
    | class_Orderings_Oorder(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).

cnf(c_56,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

cnf(c_57,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(c_132,plain,
    ( X0 != t_b
    | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_57]) ).

cnf(c_133,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference(unflattening,[status(thm)],[c_132]) ).

cnf(c_137,plain,
    ( X0 != t_b
    | c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_times(X1,X2,X0),X0) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_57]) ).

cnf(c_138,plain,
    c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b) = c_HOL_Oabs(c_times(X0,X1,t_b),t_b),
    inference(unflattening,[status(thm)],[c_137]) ).

cnf(c_145,plain,
    ( X0 != t_b
    | class_Orderings_Oorder(X0) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_133]) ).

cnf(c_146,plain,
    class_Orderings_Oorder(t_b),
    inference(unflattening,[status(thm)],[c_145]) ).

cnf(c_150,plain,
    ( X0 != t_b
    | ~ c_lessequals(c_0,X1,X0)
    | c_HOL_Oabs(X1,X0) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_49,c_133]) ).

cnf(c_151,plain,
    ( ~ c_lessequals(c_0,X0,t_b)
    | c_HOL_Oabs(X0,t_b) = X0 ),
    inference(unflattening,[status(thm)],[c_150]) ).

cnf(c_162,plain,
    ( X0 != t_b
    | ~ c_lessequals(X1,X2,X0)
    | ~ c_lessequals(X3,X1,X0)
    | c_lessequals(X3,X2,X0) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_146]) ).

cnf(c_163,plain,
    ( ~ c_lessequals(X0,X1,t_b)
    | ~ c_lessequals(X2,X0,t_b)
    | c_lessequals(X2,X1,t_b) ),
    inference(unflattening,[status(thm)],[c_162]) ).

cnf(c_342,plain,
    ~ c_lessequals(v_f(v_x(c_HOL_Oabs(X0,t_b))),c_HOL_Oabs(c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),t_b),
    inference(superposition,[status(thm)],[c_138,c_54]) ).

cnf(c_363,plain,
    ( ~ c_lessequals(X0,v_f(X1),t_b)
    | c_lessequals(X0,c_times(v_c,v_g(X1),t_b),t_b) ),
    inference(superposition,[status(thm)],[c_53,c_163]) ).

cnf(c_383,plain,
    ( ~ c_lessequals(c_0,v_f(X0),t_b)
    | c_HOL_Oabs(c_times(v_c,v_g(X0),t_b),t_b) = c_times(v_c,v_g(X0),t_b) ),
    inference(superposition,[status(thm)],[c_363,c_151]) ).

cnf(c_388,plain,
    c_HOL_Oabs(c_times(v_c,v_g(X0),t_b),t_b) = c_times(v_c,v_g(X0),t_b),
    inference(forward_subsumption_resolution,[status(thm)],[c_383,c_52]) ).

cnf(c_394,plain,
    ~ c_lessequals(v_f(v_x(c_HOL_Oabs(v_c,t_b))),c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b),
    inference(superposition,[status(thm)],[c_388,c_342]) ).

cnf(c_395,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_394,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ANA010-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 18:15:25 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.88/1.17  % SZS status Started for theBenchmark.p
% 1.88/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.88/1.17  
% 1.88/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.88/1.17  
% 1.88/1.17  ------  iProver source info
% 1.88/1.17  
% 1.88/1.17  git: date: 2023-05-31 18:12:56 +0000
% 1.88/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.88/1.17  git: non_committed_changes: false
% 1.88/1.17  git: last_make_outside_of_git: false
% 1.88/1.17  
% 1.88/1.17  ------ Parsing...successful
% 1.88/1.17  
% 1.88/1.17  
% 1.88/1.17  
% 1.88/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 1.88/1.17  
% 1.88/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.88/1.17  
% 1.88/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.88/1.17  ------ Proving...
% 1.88/1.17  ------ Problem Properties 
% 1.88/1.17  
% 1.88/1.17  
% 1.88/1.17  clauses                                 6
% 1.88/1.17  conjectures                             3
% 1.88/1.17  EPR                                     1
% 1.88/1.17  Horn                                    6
% 1.88/1.17  unary                                   4
% 1.88/1.17  binary                                  1
% 1.88/1.17  lits                                    9
% 1.88/1.17  lits eq                                 2
% 1.88/1.17  fd_pure                                 0
% 1.88/1.17  fd_pseudo                               0
% 1.88/1.17  fd_cond                                 0
% 1.88/1.17  fd_pseudo_cond                          0
% 1.88/1.17  AC symbols                              0
% 1.88/1.17  
% 1.88/1.17  ------ Schedule dynamic 5 is on 
% 1.88/1.17  
% 1.88/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.88/1.17  
% 1.88/1.17  
% 1.88/1.17  ------ 
% 1.88/1.17  Current options:
% 1.88/1.17  ------ 
% 1.88/1.17  
% 1.88/1.17  
% 1.88/1.17  
% 1.88/1.17  
% 1.88/1.17  ------ Proving...
% 1.88/1.17  
% 1.88/1.17  
% 1.88/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.88/1.17  
% 1.88/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.88/1.17  
% 1.88/1.17  
%------------------------------------------------------------------------------