TSTP Solution File: SWV689-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV689-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 : Thu Aug 31 22:42:17 EDT 2023

% Result   : Unsatisfiable 7.93s 1.61s
% Output   : CNFRefutation 7.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (   3 unt;   4 nHn;  10 RR)
%            Number of literals    :   25 (   0 equ;  12 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   21 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_161,plain,
    ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
    | c_lessequals(c_Suc(X0),X1,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__eq__Suc__le_0) ).

cnf(c_162,plain,
    ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
    | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__eq__Suc__le_1) ).

cnf(c_366,plain,
    ( c_lessequals(c_Suc(X0),X1,tc_nat)
    | c_lessequals(X1,X0,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq__eq_0) ).

cnf(c_367,plain,
    ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
    | ~ c_lessequals(X1,X0,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq__eq_1) ).

cnf(c_798,plain,
    ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__imp__diff__less_0) ).

cnf(c_815,plain,
    c_HOL_Oord__class_Oless(v_i,v_n,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(c_816,negated_conjecture,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i,v_k,tc_nat),v_n,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_1205,plain,
    ( ~ c_lessequals(X1,X0,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
    inference(prop_impl_just,[status(thm)],[c_161,c_367]) ).

cnf(c_1206,plain,
    ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
    | ~ c_lessequals(X1,X0,tc_nat) ),
    inference(renaming,[status(thm)],[c_1205]) ).

cnf(c_1427,plain,
    ( c_lessequals(X1,X0,tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
    inference(prop_impl_just,[status(thm)],[c_366,c_162,c_798]) ).

cnf(c_1428,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
    | c_lessequals(X2,X0,tc_nat) ),
    inference(renaming,[status(thm)],[c_1427]) ).

cnf(c_11042,plain,
    ( ~ c_HOL_Oord__class_Oless(v_i,v_n,tc_nat)
    | ~ c_lessequals(v_n,v_i,tc_nat) ),
    inference(instantiation,[status(thm)],[c_1206]) ).

cnf(c_11500,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i,v_k,tc_nat),v_n,tc_nat)
    | c_lessequals(v_n,v_i,tc_nat) ),
    inference(instantiation,[status(thm)],[c_1428]) ).

cnf(c_11501,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_11500,c_11042,c_816,c_815]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10  % Problem  : SWV689-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n017.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue Aug 29 09:27:43 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.93/1.61  % SZS status Started for theBenchmark.p
% 7.93/1.61  % SZS status Unsatisfiable for theBenchmark.p
% 7.93/1.61  
% 7.93/1.61  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.93/1.61  
% 7.93/1.61  ------  iProver source info
% 7.93/1.61  
% 7.93/1.61  git: date: 2023-05-31 18:12:56 +0000
% 7.93/1.61  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.93/1.61  git: non_committed_changes: false
% 7.93/1.61  git: last_make_outside_of_git: false
% 7.93/1.61  
% 7.93/1.61  ------ Parsing...successful
% 7.93/1.61  
% 7.93/1.61  
% 7.93/1.61  
% 7.93/1.61  ------ Preprocessing... sup_sim: 0  sf_s  rm: 170 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e 
% 7.93/1.61  
% 7.93/1.61  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.93/1.61  
% 7.93/1.61  ------ Preprocessing... sf_s  rm: 1 0s  sf_e 
% 7.93/1.61  ------ Proving...
% 7.93/1.61  ------ Problem Properties 
% 7.93/1.61  
% 7.93/1.61  
% 7.93/1.61  clauses                                 334
% 7.93/1.61  conjectures                             1
% 7.93/1.61  EPR                                     18
% 7.93/1.61  Horn                                    288
% 7.93/1.61  unary                                   107
% 7.93/1.61  binary                                  136
% 7.93/1.61  lits                                    661
% 7.93/1.61  lits eq                                 188
% 7.93/1.61  fd_pure                                 0
% 7.93/1.61  fd_pseudo                               0
% 7.93/1.61  fd_cond                                 17
% 7.93/1.61  fd_pseudo_cond                          20
% 7.93/1.61  AC symbols                              0
% 7.93/1.61  
% 7.93/1.61  ------ Input Options Time Limit: Unbounded
% 7.93/1.61  
% 7.93/1.61  
% 7.93/1.61  ------ 
% 7.93/1.61  Current options:
% 7.93/1.61  ------ 
% 7.93/1.61  
% 7.93/1.61  
% 7.93/1.61  
% 7.93/1.61  
% 7.93/1.61  ------ Proving...
% 7.93/1.61  
% 7.93/1.61  
% 7.93/1.61  % SZS status Unsatisfiable for theBenchmark.p
% 7.93/1.61  
% 7.93/1.61  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.93/1.61  
% 7.93/1.61  
%------------------------------------------------------------------------------