TSTP Solution File: SYO612-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYO612-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 03:38:29 EDT 2024

% Result   : Unsatisfiable 2.88s 1.11s
% Output   : CNFRefutation 2.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   13 (   4 unt;   0 nHn;  11 RR)
%            Number of literals    :   72 (   0 equ;  69 neg)
%            Maximal clause size   :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   57 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    le(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).

cnf(c_52,plain,
    eq(f(X0),a0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).

cnf(c_53,plain,
    ( ~ le(s(X0),X1)
    | ~ le(s(X1),X2)
    | ~ le(s(X2),X3)
    | ~ le(s(X3),X4)
    | ~ le(s(X4),X5)
    | ~ le(s(X5),X6)
    | ~ eq(f(X0),a0)
    | ~ eq(f(X1),a0)
    | ~ eq(f(X2),a0)
    | ~ eq(f(X3),a0)
    | ~ eq(f(X4),a0)
    | ~ eq(f(X5),a0)
    | ~ eq(f(X6),a0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).

cnf(c_57,plain,
    ( ~ le(s(X5),X6)
    | ~ le(s(X4),X5)
    | ~ le(s(X3),X4)
    | ~ le(s(X2),X3)
    | ~ le(s(X1),X2)
    | ~ le(s(X0),X1)
    | ~ eq(f(X1),a0)
    | ~ eq(f(X2),a0)
    | ~ eq(f(X3),a0)
    | ~ eq(f(X4),a0)
    | ~ eq(f(X5),a0)
    | ~ eq(f(X6),a0) ),
    inference(global_subsumption_just,[status(thm)],[c_53,c_52,c_53]) ).

cnf(c_58,plain,
    ( ~ le(s(X0),X1)
    | ~ le(s(X1),X2)
    | ~ le(s(X2),X3)
    | ~ le(s(X3),X4)
    | ~ le(s(X4),X5)
    | ~ le(s(X5),X6)
    | ~ eq(f(X1),a0)
    | ~ eq(f(X2),a0)
    | ~ eq(f(X3),a0)
    | ~ eq(f(X4),a0)
    | ~ eq(f(X5),a0)
    | ~ eq(f(X6),a0) ),
    inference(renaming,[status(thm)],[c_57]) ).

cnf(c_63,plain,
    ( ~ le(s(X0),X1)
    | ~ le(s(X1),X2)
    | ~ le(s(X2),X3)
    | ~ le(s(X3),X4)
    | ~ le(s(X4),X5)
    | ~ le(s(X5),X6)
    | ~ eq(f(X2),a0)
    | ~ eq(f(X3),a0)
    | ~ eq(f(X4),a0)
    | ~ eq(f(X5),a0)
    | ~ eq(f(X6),a0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_58,c_52]) ).

cnf(c_83,plain,
    ( ~ le(s(X0),X1)
    | ~ le(s(X1),X2)
    | ~ le(s(X2),X3)
    | ~ le(s(X3),X4)
    | ~ le(s(X4),X5)
    | ~ le(s(X5),X6) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_63,c_52,c_52,c_52,c_52,c_52]) ).

cnf(c_757,plain,
    ( ~ le(s(X0),X1)
    | ~ le(s(X1),X2)
    | ~ le(s(X2),X3)
    | ~ le(s(X3),X4)
    | ~ le(s(X4),X5) ),
    inference(resolution,[status(thm)],[c_83,c_49]) ).

cnf(c_781,plain,
    ( ~ le(s(X0),X1)
    | ~ le(s(X1),X2)
    | ~ le(s(X2),X3)
    | ~ le(s(X3),X4) ),
    inference(resolution,[status(thm)],[c_757,c_49]) ).

cnf(c_890,plain,
    ( ~ le(s(X0),X1)
    | ~ le(s(X1),X2)
    | ~ le(s(X2),X3) ),
    inference(resolution,[status(thm)],[c_781,c_49]) ).

cnf(c_1568,plain,
    ( ~ le(s(X0),X1)
    | ~ le(s(X1),X2) ),
    inference(resolution,[status(thm)],[c_890,c_49]) ).

cnf(c_1595,plain,
    ~ le(s(X0),X1),
    inference(resolution,[status(thm)],[c_1568,c_49]) ).

cnf(c_1707,plain,
    $false,
    inference(resolution,[status(thm)],[c_1595,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYO612-1 : TPTP v8.1.2. Released v7.1.0.
% 0.09/0.12  % Command  : run_iprover %s %d THM
% 0.10/0.32  % Computer : n022.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Thu May  2 19:59:57 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  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
% 2.88/1.11  % SZS status Started for theBenchmark.p
% 2.88/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 2.88/1.11  
% 2.88/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.88/1.11  
% 2.88/1.11  ------  iProver source info
% 2.88/1.11  
% 2.88/1.11  git: date: 2024-05-02 19:28:25 +0000
% 2.88/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.88/1.11  git: non_committed_changes: false
% 2.88/1.11  
% 2.88/1.11  ------ Parsing...successful
% 2.88/1.11  
% 2.88/1.11  
% 2.88/1.11  
% 2.88/1.11  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.88/1.11  
% 2.88/1.11  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.88/1.11  ------ Proving...
% 2.88/1.11  ------ Problem Properties 
% 2.88/1.11  
% 2.88/1.11  
% 2.88/1.11  clauses                                 4
% 2.88/1.11  conjectures                             0
% 2.88/1.11  EPR                                     1
% 2.88/1.11  Horn                                    4
% 2.88/1.11  unary                                   1
% 2.88/1.11  binary                                  2
% 2.88/1.11  lits                                    11
% 2.88/1.11  lits eq                                 0
% 2.88/1.11  fd_pure                                 0
% 2.88/1.11  fd_pseudo                               0
% 2.88/1.11  fd_cond                                 0
% 2.88/1.11  fd_pseudo_cond                          0
% 2.88/1.11  AC symbols                              0
% 2.88/1.11  
% 2.88/1.11  ------ Input Options Time Limit: Unbounded
% 2.88/1.11  
% 2.88/1.11  
% 2.88/1.11  ------ 
% 2.88/1.11  Current options:
% 2.88/1.11  ------ 
% 2.88/1.11  
% 2.88/1.11  
% 2.88/1.11  
% 2.88/1.11  
% 2.88/1.11  ------ Proving...
% 2.88/1.11  
% 2.88/1.11  
% 2.88/1.11  % SZS status Unsatisfiable for theBenchmark.p
% 2.88/1.11  
% 2.88/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.88/1.11  
% 2.88/1.11  
%------------------------------------------------------------------------------