TSTP Solution File: SWV136+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV136+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 0.47s 1.15s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (  10 unt;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   70 (  18   ~;  13   |;  35   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 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/sandbox/benchmark/theBenchmark.p',transitivity_leq) ).

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

fof(f53,conjecture,
    ( ( 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/sandbox/benchmark/theBenchmark.p',gauss_array_0006) ).

fof(f54,negated_conjecture,
    ~ ( ( 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/sandbox/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_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_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(f335,plain,
    ~ leq(n0,pv1325),
    inference(cnf_transformation,[],[f149]) ).

fof(f346,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,[],[f335]) ).

cnf(c_163,negated_conjecture,
    leq(n2,pv1325),
    inference(cnf_transformation,[],[f329]) ).

cnf(c_177,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f346]) ).

cnf(c_5822,negated_conjecture,
    leq(n2,pv1325),
    inference(demodulation,[status(thm)],[c_163]) ).

cnf(c_8726,plain,
    leq(n0,n2),
    inference(superposition,[status(thm)],[c_177,c_54]) ).

cnf(c_10393,plain,
    ( ~ leq(X0,n2)
    | leq(X0,pv1325) ),
    inference(superposition,[status(thm)],[c_5822,c_53]) ).

cnf(c_10605,plain,
    ( ~ leq(n0,n2)
    | leq(n0,pv1325) ),
    inference(instantiation,[status(thm)],[c_10393]) ).

cnf(c_10606,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_10605,c_8726,c_157]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV136+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May  2 23:49:21 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.47/1.15  % SZS status Started for theBenchmark.p
% 0.47/1.15  % SZS status Theorem for theBenchmark.p
% 0.47/1.15  
% 0.47/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.15  
% 0.47/1.15  ------  iProver source info
% 0.47/1.15  
% 0.47/1.15  git: date: 2024-05-02 19:28:25 +0000
% 0.47/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.47/1.15  git: non_committed_changes: false
% 0.47/1.15  
% 0.47/1.15  ------ Parsing...
% 0.47/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... sup_sim: 16  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.47/1.15  ------ Proving...
% 0.47/1.15  ------ Problem Properties 
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  clauses                                 152
% 0.47/1.15  conjectures                             10
% 0.47/1.15  EPR                                     46
% 0.47/1.15  Horn                                    102
% 0.47/1.15  unary                                   58
% 0.47/1.15  binary                                  34
% 0.47/1.15  lits                                    491
% 0.47/1.15  lits eq                                 115
% 0.47/1.15  fd_pure                                 0
% 0.47/1.15  fd_pseudo                               0
% 0.47/1.15  fd_cond                                 6
% 0.47/1.15  fd_pseudo_cond                          4
% 0.47/1.15  AC symbols                              0
% 0.47/1.15  
% 0.47/1.15  ------ Schedule dynamic 5 is on 
% 0.47/1.15  
% 0.47/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ 
% 0.47/1.15  Current options:
% 0.47/1.15  ------ 
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ Proving...
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  % SZS status Theorem for theBenchmark.p
% 0.47/1.15  
% 0.47/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.15  
% 0.47/1.15  
%------------------------------------------------------------------------------