TSTP Solution File: SWV137+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV137+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 : Fri May  3 03:13:35 EDT 2024

% Result   : Theorem 4.18s 1.18s
% Output   : CNFRefutation 4.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (   9 unt;   0 def)
%            Number of atoms       :   80 (   0 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :   74 (  18   ~;  13   |;  39   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   24 (   0 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( leq(X1,X2)
        & leq(X0,X1) )
     => leq(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( gt(X1,X0)
     => leq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).

fof(f53,conjecture,
    ( ( leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
      & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
      & leq(pv1325,n3)
      & leq(s_worst7,n3)
      & leq(s_sworst7,n3)
      & leq(s_best7,n3)
      & leq(n2,pv1325)
      & leq(n0,s_worst7)
      & leq(n0,s_sworst7)
      & leq(n0,s_best7) )
   => leq(n0,pv1325) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0007) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
        & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
        & leq(pv1325,n3)
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n2,pv1325)
        & leq(n0,s_worst7)
        & leq(n0,s_sworst7)
        & leq(n0,s_best7) )
     => leq(n0,pv1325) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f65,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).

fof(f110,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f110]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ gt(X1,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f148,plain,
    ( ~ leq(n0,pv1325)
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
    & leq(pv1325,n3)
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n2,pv1325)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f149,plain,
    ( ~ leq(n0,pv1325)
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
    & leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
    & leq(pv1325,n3)
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n2,pv1325)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7) ),
    inference(flattening,[],[f148]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ gt(X1,X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f329,plain,
    leq(n2,pv1325),
    inference(cnf_transformation,[],[f149]) ).

fof(f336,plain,
    ~ leq(n0,pv1325),
    inference(cnf_transformation,[],[f149]) ).

fof(f347,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_53,plain,
    ( ~ leq(X0,X1)
    | ~ leq(X1,X2)
    | leq(X0,X2) ),
    inference(cnf_transformation,[],[f220]) ).

cnf(c_54,plain,
    ( ~ gt(X0,X1)
    | leq(X1,X0) ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_157,negated_conjecture,
    ~ leq(n0,pv1325),
    inference(cnf_transformation,[],[f336]) ).

cnf(c_164,negated_conjecture,
    leq(n2,pv1325),
    inference(cnf_transformation,[],[f329]) ).

cnf(c_178,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f347]) ).

cnf(c_8715,plain,
    ( ~ leq(X0,n2)
    | leq(X0,pv1325) ),
    inference(superposition,[status(thm)],[c_164,c_53]) ).

cnf(c_8719,plain,
    ( ~ leq(n0,n2)
    | leq(n0,pv1325) ),
    inference(instantiation,[status(thm)],[c_8715]) ).

cnf(c_9066,plain,
    leq(n0,n2),
    inference(superposition,[status(thm)],[c_178,c_54]) ).

cnf(c_9071,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9066,c_8719,c_157]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV137+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.04/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n017.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 : Thu May  2 23:58:51 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  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
% 4.18/1.18  % SZS status Started for theBenchmark.p
% 4.18/1.18  % SZS status Theorem for theBenchmark.p
% 4.18/1.18  
% 4.18/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.18/1.18  
% 4.18/1.18  ------  iProver source info
% 4.18/1.18  
% 4.18/1.18  git: date: 2024-05-02 19:28:25 +0000
% 4.18/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.18/1.18  git: non_committed_changes: false
% 4.18/1.18  
% 4.18/1.18  ------ Parsing...
% 4.18/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.18/1.18  
% 4.18/1.18  ------ Preprocessing... sup_sim: 17  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.18/1.18  
% 4.18/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.18/1.18  
% 4.18/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.18/1.18  ------ Proving...
% 4.18/1.18  ------ Problem Properties 
% 4.18/1.18  
% 4.18/1.18  
% 4.18/1.18  clauses                                 151
% 4.18/1.18  conjectures                             11
% 4.18/1.18  EPR                                     45
% 4.18/1.18  Horn                                    101
% 4.18/1.18  unary                                   57
% 4.18/1.18  binary                                  34
% 4.18/1.18  lits                                    490
% 4.18/1.18  lits eq                                 113
% 4.18/1.18  fd_pure                                 0
% 4.18/1.18  fd_pseudo                               0
% 4.18/1.18  fd_cond                                 6
% 4.18/1.18  fd_pseudo_cond                          4
% 4.18/1.18  AC symbols                              0
% 4.18/1.18  
% 4.18/1.18  ------ Input Options Time Limit: Unbounded
% 4.18/1.18  
% 4.18/1.18  
% 4.18/1.18  ------ 
% 4.18/1.18  Current options:
% 4.18/1.18  ------ 
% 4.18/1.18  
% 4.18/1.18  
% 4.18/1.18  
% 4.18/1.18  
% 4.18/1.18  ------ Proving...
% 4.18/1.18  
% 4.18/1.18  
% 4.18/1.18  ------ Proving...
% 4.18/1.18  
% 4.18/1.18  
% 4.18/1.18  % SZS status Theorem for theBenchmark.p
% 4.18/1.18  
% 4.18/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.18/1.18  
% 4.18/1.18  
%------------------------------------------------------------------------------