TSTP Solution File: ANA038-2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : ANA038-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 17:18:11 EDT 2023

% Result   : Unsatisfiable 1.68s 1.17s
% Output   : CNFRefutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   21 (   9 unt;   0 nHn;  18 RR)
%            Number of literals    :   42 (   0 equ;  23 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   31 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    c_lessequals(c_0,v_g(v_xa),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_50,negated_conjecture,
    c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_51,negated_conjecture,
    ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).

cnf(c_52,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

cnf(c_53,plain,
    ( ~ class_Orderings_Olinorder(X0)
    | c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI2_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/sandbox2/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/sandbox2/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_Orderings_Olinorder(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).

cnf(c_57,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Ring__and__Field_Opordered__semiring(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).

cnf(c_58,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | class_Orderings_Oorder(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).

cnf(c_104,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(X0)
    | c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0) ),
    inference(resolution,[status(thm)],[c_56,c_53]) ).

cnf(c_114,plain,
    c_lessequals(X0,c_Orderings_Omax(X1,X0,t_b),t_b),
    inference(resolution,[status(thm)],[c_52,c_104]) ).

cnf(c_119,plain,
    class_Orderings_Oorder(t_b),
    inference(resolution,[status(thm)],[c_52,c_58]) ).

cnf(c_123,plain,
    class_Ring__and__Field_Opordered__semiring(t_b),
    inference(resolution,[status(thm)],[c_52,c_57]) ).

cnf(c_130,plain,
    ( ~ c_lessequals(X0,X1,t_b)
    | ~ c_lessequals(X2,X0,t_b)
    | c_lessequals(X2,X1,t_b) ),
    inference(resolution,[status(thm)],[c_54,c_119]) ).

cnf(c_143,plain,
    ( ~ c_lessequals(X0,X1,t_b)
    | ~ c_lessequals(c_0,X2,t_b)
    | c_lessequals(c_times(X0,X2,t_b),c_times(X1,X2,t_b),t_b) ),
    inference(resolution,[status(thm)],[c_55,c_123]) ).

cnf(c_376,plain,
    ( ~ c_lessequals(X0,c_times(X1,X2,t_b),t_b)
    | ~ c_lessequals(X1,X3,t_b)
    | ~ c_lessequals(c_0,X2,t_b)
    | c_lessequals(X0,c_times(X3,X2,t_b),t_b) ),
    inference(superposition,[status(thm)],[c_143,c_130]) ).

cnf(c_1423,plain,
    ( ~ c_lessequals(c_0,v_g(v_xa),t_b)
    | ~ c_lessequals(v_ca,X0,t_b)
    | c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b) ),
    inference(superposition,[status(thm)],[c_50,c_376]) ).

cnf(c_1426,plain,
    ( ~ c_lessequals(v_ca,X0,t_b)
    | c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1423,c_49]) ).

cnf(c_1507,plain,
    ~ c_lessequals(v_ca,c_Orderings_Omax(v_c,v_ca,t_b),t_b),
    inference(superposition,[status(thm)],[c_1426,c_51]) ).

cnf(c_1514,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1507,c_114]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ANA038-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.17/0.34  % Computer : n008.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Fri Aug 25 18:35:18 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.68/1.17  % SZS status Started for theBenchmark.p
% 1.68/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.17  
% 1.68/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.68/1.17  
% 1.68/1.17  ------  iProver source info
% 1.68/1.17  
% 1.68/1.17  git: date: 2023-05-31 18:12:56 +0000
% 1.68/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.68/1.17  git: non_committed_changes: false
% 1.68/1.17  git: last_make_outside_of_git: false
% 1.68/1.17  
% 1.68/1.17  ------ Parsing...successful
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  ------ 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 
% 1.68/1.17  
% 1.68/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.68/1.17  ------ Proving...
% 1.68/1.17  ------ Problem Properties 
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  clauses                                 6
% 1.68/1.17  conjectures                             3
% 1.68/1.17  EPR                                     1
% 1.68/1.17  Horn                                    6
% 1.68/1.17  unary                                   4
% 1.68/1.17  binary                                  0
% 1.68/1.17  lits                                    10
% 1.68/1.17  lits eq                                 0
% 1.68/1.17  fd_pure                                 0
% 1.68/1.17  fd_pseudo                               0
% 1.68/1.17  fd_cond                                 0
% 1.68/1.17  fd_pseudo_cond                          0
% 1.68/1.17  AC symbols                              0
% 1.68/1.17  
% 1.68/1.17  ------ Schedule dynamic 5 is on 
% 1.68/1.17  
% 1.68/1.17  ------ no equalities: superposition off 
% 1.68/1.17  
% 1.68/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  ------ 
% 1.68/1.17  Current options:
% 1.68/1.17  ------ 
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  ------ Proving...
% 1.68/1.17  
% 1.68/1.17  
% 1.68/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.17  
% 1.68/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.68/1.17  
% 1.68/1.17  
%------------------------------------------------------------------------------