TSTP Solution File: ANA039-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : ANA039-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 17:18:12 EDT 2023

% Result   : Unsatisfiable 2.08s 1.15s
% Output   : CNFRefutation 2.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   22 (  10 unt;   0 nHn;  16 RR)
%            Number of literals    :   43 (   0 equ;  23 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   32 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    c_lessequals(c_HOL_Oabs(v_h(X0),t_a),c_times(v_c,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_50,negated_conjecture,
    ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

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

cnf(c_52,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
    | c_lessequals(X1,c_HOL_Oabs(X1,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__self_0) ).

cnf(c_53,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
    | c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).

cnf(c_54,plain,
    ( ~ c_lessequals(X0,X1,X2)
    | ~ c_lessequals(X3,X0,X2)
    | ~ class_Orderings_Oorder(X2)
    | c_lessequals(X3,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

cnf(c_55,plain,
    ( ~ c_lessequals(X0,X1,X2)
    | ~ c_lessequals(c_0,X3,X2)
    | ~ class_Ring__and__Field_Opordered__semiring(X2)
    | c_lessequals(c_times(X0,X3,X2),c_times(X1,X3,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).

cnf(c_56,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Ring__and__Field_Opordered__semiring(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).

cnf(c_57,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Orderings_Oorder(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).

cnf(c_58,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

cnf(c_108,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_a),
    inference(resolution,[status(thm)],[c_51,c_58]) ).

cnf(c_112,plain,
    class_Orderings_Oorder(t_a),
    inference(resolution,[status(thm)],[c_51,c_57]) ).

cnf(c_116,plain,
    class_Ring__and__Field_Opordered__semiring(t_a),
    inference(resolution,[status(thm)],[c_51,c_56]) ).

cnf(c_123,plain,
    c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a),
    inference(resolution,[status(thm)],[c_53,c_108]) ).

cnf(c_128,plain,
    c_lessequals(X0,c_HOL_Oabs(X0,t_a),t_a),
    inference(resolution,[status(thm)],[c_52,c_108]) ).

cnf(c_135,plain,
    ( ~ c_lessequals(X0,X1,t_a)
    | ~ c_lessequals(X2,X0,t_a)
    | c_lessequals(X2,X1,t_a) ),
    inference(resolution,[status(thm)],[c_54,c_112]) ).

cnf(c_148,plain,
    ( ~ c_lessequals(X0,X1,t_a)
    | ~ c_lessequals(c_0,X2,t_a)
    | c_lessequals(c_times(X0,X2,t_a),c_times(X1,X2,t_a),t_a) ),
    inference(resolution,[status(thm)],[c_55,c_116]) ).

cnf(c_327,plain,
    ( ~ c_lessequals(X0,c_times(X1,X2,t_a),t_a)
    | ~ c_lessequals(X1,X3,t_a)
    | ~ c_lessequals(c_0,X2,t_a)
    | c_lessequals(X0,c_times(X3,X2,t_a),t_a) ),
    inference(superposition,[status(thm)],[c_148,c_135]) ).

cnf(c_1132,plain,
    ( ~ c_lessequals(c_0,c_HOL_Oabs(v_f(X0),t_a),t_a)
    | ~ c_lessequals(v_c,X1,t_a)
    | c_lessequals(c_HOL_Oabs(v_h(X0),t_a),c_times(X1,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a) ),
    inference(superposition,[status(thm)],[c_49,c_327]) ).

cnf(c_1141,plain,
    ( ~ c_lessequals(v_c,X0,t_a)
    | c_lessequals(c_HOL_Oabs(v_h(X1),t_a),c_times(X0,c_HOL_Oabs(v_f(X1),t_a),t_a),t_a) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1132,c_123]) ).

cnf(c_1238,plain,
    ~ c_lessequals(v_c,c_HOL_Oabs(v_c,t_a),t_a),
    inference(superposition,[status(thm)],[c_1141,c_50]) ).

cnf(c_1243,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1238,c_128]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ANA039-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 18:56:36 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.08/1.15  % SZS status Started for theBenchmark.p
% 2.08/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 2.08/1.15  
% 2.08/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.08/1.15  
% 2.08/1.15  ------  iProver source info
% 2.08/1.15  
% 2.08/1.15  git: date: 2023-05-31 18:12:56 +0000
% 2.08/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.08/1.15  git: non_committed_changes: false
% 2.08/1.15  git: last_make_outside_of_git: false
% 2.08/1.15  
% 2.08/1.15  ------ Parsing...successful
% 2.08/1.15  
% 2.08/1.15  
% 2.08/1.15  
% 2.08/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.08/1.15  
% 2.08/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.08/1.15  ------ Proving...
% 2.08/1.15  ------ Problem Properties 
% 2.08/1.15  
% 2.08/1.15  
% 2.08/1.15  clauses                                 6
% 2.08/1.15  conjectures                             2
% 2.08/1.15  EPR                                     1
% 2.08/1.15  Horn                                    6
% 2.08/1.15  unary                                   4
% 2.08/1.15  binary                                  0
% 2.08/1.15  lits                                    10
% 2.08/1.15  lits eq                                 0
% 2.08/1.15  fd_pure                                 0
% 2.08/1.15  fd_pseudo                               0
% 2.08/1.15  fd_cond                                 0
% 2.08/1.15  fd_pseudo_cond                          0
% 2.08/1.15  AC symbols                              0
% 2.08/1.15  
% 2.08/1.15  ------ Schedule dynamic 5 is on 
% 2.08/1.15  
% 2.08/1.15  ------ no equalities: superposition off 
% 2.08/1.15  
% 2.08/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.08/1.15  
% 2.08/1.15  
% 2.08/1.15  ------ 
% 2.08/1.15  Current options:
% 2.08/1.15  ------ 
% 2.08/1.15  
% 2.08/1.15  
% 2.08/1.15  
% 2.08/1.15  
% 2.08/1.15  ------ Proving...
% 2.08/1.15  
% 2.08/1.15  
% 2.08/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 2.08/1.15  
% 2.08/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.08/1.15  
% 2.08/1.15  
%------------------------------------------------------------------------------