TSTP Solution File: ANA007-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : ANA007-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 17:17:58 EDT 2023

% Result   : Unsatisfiable 18.56s 3.22s
% Output   : CNFRefutation 18.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (  10 unt;   0 nHn;  13 RR)
%            Number of literals    :   22 (   2 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_51,negated_conjecture,
    ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_52,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(c_120,plain,
    ( ~ class_Orderings_Oorder(X0)
    | c_lessequals(X1,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Orderings_Oorder__class_Oaxioms__1_0) ).

cnf(c_575,plain,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
    | class_OrderedGroup_Omonoid__mult(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Ocomm__ring__1_24) ).

cnf(c_770,plain,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
    | class_Orderings_Oorder(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) ).

cnf(c_848,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Ring__and__Field_Ocomm__ring__1(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_0) ).

cnf(c_872,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_30) ).

cnf(c_2269,plain,
    ( ~ class_OrderedGroup_Omonoid__mult(X0)
    | c_times(c_1,X1,X0) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).

cnf(c_8578,plain,
    class_Ring__and__Field_Ocomm__ring__1(t_b),
    inference(superposition,[status(thm)],[c_52,c_848]) ).

cnf(c_8590,plain,
    class_OrderedGroup_Omonoid__mult(t_b),
    inference(superposition,[status(thm)],[c_8578,c_575]) ).

cnf(c_8838,plain,
    class_Ring__and__Field_Oordered__comm__semiring__strict(t_b),
    inference(superposition,[status(thm)],[c_52,c_872]) ).

cnf(c_8856,plain,
    class_Orderings_Oorder(t_b),
    inference(superposition,[status(thm)],[c_8838,c_770]) ).

cnf(c_13491,plain,
    c_times(c_1,X0,t_b) = X0,
    inference(superposition,[status(thm)],[c_8590,c_2269]) ).

cnf(c_13562,plain,
    ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),
    inference(superposition,[status(thm)],[c_13491,c_51]) ).

cnf(c_13583,plain,
    ~ class_Orderings_Oorder(t_b),
    inference(superposition,[status(thm)],[c_120,c_13562]) ).

cnf(c_13584,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_13583,c_8856]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ANA007-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Aug 25 18:15:50 EDT 2023
% 0.13/0.35  % 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
% 18.56/3.22  % SZS status Started for theBenchmark.p
% 18.56/3.22  % SZS status Unsatisfiable for theBenchmark.p
% 18.56/3.22  
% 18.56/3.22  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 18.56/3.22  
% 18.56/3.22  ------  iProver source info
% 18.56/3.22  
% 18.56/3.22  git: date: 2023-05-31 18:12:56 +0000
% 18.56/3.22  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 18.56/3.22  git: non_committed_changes: false
% 18.56/3.22  git: last_make_outside_of_git: false
% 18.56/3.22  
% 18.56/3.22  ------ Parsing...successful
% 18.56/3.22  
% 18.56/3.22  
% 18.56/3.22  
% 18.56/3.22  ------ Preprocessing... sup_sim: 0  sf_s  rm: 390 0s  sf_e  sup_sim: 0  sf_s  rm: 15 0s  sf_e 
% 18.56/3.22  
% 18.56/3.22  ------ Preprocessing...
% 18.56/3.22  
% 18.56/3.22  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 18.56/3.22  ------ Proving...
% 18.56/3.22  ------ Problem Properties 
% 18.56/3.22  
% 18.56/3.22  
% 18.56/3.22  clauses                                 2335
% 18.56/3.22  conjectures                             66
% 18.56/3.22  EPR                                     881
% 18.56/3.22  Horn                                    2155
% 18.56/3.22  unary                                   608
% 18.56/3.22  binary                                  1294
% 18.56/3.22  lits                                    4722
% 18.56/3.22  lits eq                                 1075
% 18.56/3.22  fd_pure                                 0
% 18.56/3.22  fd_pseudo                               0
% 18.56/3.22  fd_cond                                 99
% 18.56/3.22  fd_pseudo_cond                          63
% 18.56/3.22  AC symbols                              0
% 18.56/3.22  
% 18.56/3.22  ------ Input Options Time Limit: Unbounded
% 18.56/3.22  
% 18.56/3.22  
% 18.56/3.22  ------ 
% 18.56/3.22  Current options:
% 18.56/3.22  ------ 
% 18.56/3.22  
% 18.56/3.22  
% 18.56/3.22  
% 18.56/3.22  
% 18.56/3.22  ------ Proving...
% 18.56/3.22  
% 18.56/3.22  
% 18.56/3.22  % SZS status Unsatisfiable for theBenchmark.p
% 18.56/3.22  
% 18.56/3.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.56/3.22  
% 18.56/3.22  
%------------------------------------------------------------------------------