TSTP Solution File: ANA028-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ANA028-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 : Fri May  3 02:05:35 EDT 2024

% Result   : Unsatisfiable 121.56s 16.78s
% Output   : CNFRefutation 121.56s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,plain,
    ( ~ class_OrderedGroup_Oab__group__add(X0)
    | c_plus(c_minus(X1,X2,X0),X2,X0) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__11_0) ).

cnf(c_74,negated_conjecture,
    c_lessequals(v_g(X0),v_k(X0),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_76,negated_conjecture,
    ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_77,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(c_904,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_37) ).

cnf(c_907,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Oab__group__add(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_4) ).

cnf(c_2264,plain,
    ( ~ c_lessequals(X0,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
    | c_lessequals(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__le__cancel__left_1) ).

cnf(c_2265,plain,
    ( ~ c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
    | c_lessequals(X0,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__le__cancel__right_0) ).

cnf(c_4608,plain,
    ( class_OrderedGroup_Oab__group__add(X0)
    | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(prop_impl_just,[status(thm)],[c_907]) ).

cnf(c_4609,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Oab__group__add(X0) ),
    inference(renaming,[status(thm)],[c_4608]) ).

cnf(c_6478,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
    | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(prop_impl_just,[status(thm)],[c_904]) ).

cnf(c_6479,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
    inference(renaming,[status(thm)],[c_6478]) ).

cnf(c_56592,plain,
    ( X0 != t_b
    | class_OrderedGroup_Oab__group__add(X0) ),
    inference(resolution_lifted,[status(thm)],[c_77,c_4609]) ).

cnf(c_56593,plain,
    class_OrderedGroup_Oab__group__add(t_b),
    inference(unflattening,[status(thm)],[c_56592]) ).

cnf(c_56597,plain,
    ( X0 != t_b
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
    inference(resolution_lifted,[status(thm)],[c_77,c_6479]) ).

cnf(c_56598,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
    inference(unflattening,[status(thm)],[c_56597]) ).

cnf(c_207676,plain,
    v_f(v_x) = sP0_iProver_def,
    definition ).

cnf(c_207677,plain,
    v_k(v_x) = sP1_iProver_def,
    definition ).

cnf(c_207678,plain,
    c_minus(sP0_iProver_def,sP1_iProver_def,t_b) = sP2_iProver_def,
    definition ).

cnf(c_207679,plain,
    v_g(v_x) = sP3_iProver_def,
    definition ).

cnf(c_207680,plain,
    c_minus(sP0_iProver_def,sP3_iProver_def,t_b) = sP4_iProver_def,
    definition ).

cnf(c_207681,negated_conjecture,
    ~ c_lessequals(sP2_iProver_def,sP4_iProver_def,t_b),
    inference(demodulation,[status(thm)],[c_76,c_207679,c_207680,c_207677,c_207676,c_207678]) ).

cnf(c_207683,negated_conjecture,
    c_lessequals(v_g(X0),v_k(X0),t_b),
    inference(demodulation,[status(thm)],[c_74]) ).

cnf(c_234771,plain,
    c_lessequals(v_g(v_x),sP1_iProver_def,t_b),
    inference(superposition,[status(thm)],[c_207677,c_207683]) ).

cnf(c_234773,plain,
    c_lessequals(sP3_iProver_def,sP1_iProver_def,t_b),
    inference(light_normalisation,[status(thm)],[c_234771,c_207679]) ).

cnf(c_246274,plain,
    c_plus(c_minus(X0,X1,t_b),X1,t_b) = X0,
    inference(superposition,[status(thm)],[c_56593,c_51]) ).

cnf(c_246352,plain,
    c_plus(sP2_iProver_def,sP1_iProver_def,t_b) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_207678,c_246274]) ).

cnf(c_246353,plain,
    c_plus(sP4_iProver_def,sP3_iProver_def,t_b) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_207680,c_246274]) ).

cnf(c_360379,plain,
    ( ~ c_lessequals(sP3_iProver_def,X0,t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
    | c_lessequals(sP0_iProver_def,c_plus(sP4_iProver_def,X0,t_b),t_b) ),
    inference(superposition,[status(thm)],[c_246353,c_2264]) ).

cnf(c_360442,plain,
    ( ~ c_lessequals(sP3_iProver_def,X0,t_b)
    | c_lessequals(sP0_iProver_def,c_plus(sP4_iProver_def,X0,t_b),t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_360379,c_56598]) ).

cnf(c_360663,plain,
    ( ~ c_lessequals(sP0_iProver_def,c_plus(X0,sP1_iProver_def,t_b),t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
    | c_lessequals(sP2_iProver_def,X0,t_b) ),
    inference(superposition,[status(thm)],[c_246352,c_2265]) ).

cnf(c_360708,plain,
    ( ~ c_lessequals(sP0_iProver_def,c_plus(X0,sP1_iProver_def,t_b),t_b)
    | c_lessequals(sP2_iProver_def,X0,t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_360663,c_56598]) ).

cnf(c_378056,plain,
    ( ~ c_lessequals(sP3_iProver_def,sP1_iProver_def,t_b)
    | c_lessequals(sP2_iProver_def,sP4_iProver_def,t_b) ),
    inference(superposition,[status(thm)],[c_360442,c_360708]) ).

cnf(c_378061,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_378056,c_207681,c_234773]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ANA028-1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 20:03:31 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 121.56/16.78  % SZS status Started for theBenchmark.p
% 121.56/16.78  % SZS status Unsatisfiable for theBenchmark.p
% 121.56/16.78  
% 121.56/16.78  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 121.56/16.78  
% 121.56/16.78  ------  iProver source info
% 121.56/16.78  
% 121.56/16.78  git: date: 2024-05-02 19:28:25 +0000
% 121.56/16.78  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 121.56/16.78  git: non_committed_changes: false
% 121.56/16.78  
% 121.56/16.78  ------ Parsing...successful
% 121.56/16.78  
% 121.56/16.78  
% 121.56/16.78  
% 121.56/16.78  ------ Preprocessing... sup_sim: 108  sf_s  rm: 375 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  sup_sim: 60  sf_s  rm: 47 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 47 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 47 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 47 0s  sf_e  pe_s  pe_e 
% 121.56/16.78  
% 121.56/16.78  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 121.56/16.78  
% 121.56/16.78  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 121.56/16.78  ------ Proving...
% 121.56/16.78  ------ Problem Properties 
% 121.56/16.78  
% 121.56/16.78  
% 121.56/16.78  clauses                                 1764
% 121.56/16.78  conjectures                             4
% 121.56/16.78  EPR                                     243
% 121.56/16.78  Horn                                    1556
% 121.56/16.78  unary                                   628
% 121.56/16.78  binary                                  756
% 121.56/16.78  lits                                    3380
% 121.56/16.78  lits eq                                 1145
% 121.56/16.78  fd_pure                                 0
% 121.56/16.78  fd_pseudo                               0
% 121.56/16.78  fd_cond                                 108
% 121.56/16.78  fd_pseudo_cond                          66
% 121.56/16.78  AC symbols                              0
% 121.56/16.78  
% 121.56/16.78  ------ Schedule dynamic 5 is on 
% 121.56/16.78  
% 121.56/16.78  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 121.56/16.78  
% 121.56/16.78  
% 121.56/16.78  ------ 
% 121.56/16.78  Current options:
% 121.56/16.78  ------ 
% 121.56/16.78  
% 121.56/16.78  
% 121.56/16.78  
% 121.56/16.78  
% 121.56/16.78  ------ Proving...
% 121.56/16.78  
% 121.56/16.78  
% 121.56/16.78  % SZS status Unsatisfiable for theBenchmark.p
% 121.56/16.78  
% 121.56/16.78  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 121.56/16.78  
% 121.56/16.78  
%------------------------------------------------------------------------------