TSTP Solution File: SWV135+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV135+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 22:31:17 EDT 2023

% Result   : Theorem 0.40s 1.09s
% Output   : CNFRefutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (   9 unt;   0 def)
%            Number of atoms       :   72 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :   66 (  18   ~;  13   |;  31   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 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(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_0005) ).

fof(f54,negated_conjecture,
    ~ ( ( 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(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(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(f334,plain,
    ~ leq(n0,pv1325),
    inference(cnf_transformation,[],[f149]) ).

fof(f345,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,[],[f334]) ).

cnf(c_162,negated_conjecture,
    leq(n2,pv1325),
    inference(cnf_transformation,[],[f329]) ).

cnf(c_176,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f345]) ).

cnf(c_8696,plain,
    leq(n0,n2),
    inference(superposition,[status(thm)],[c_176,c_54]) ).

cnf(c_10065,plain,
    ( ~ leq(X0,n2)
    | leq(X0,pv1325) ),
    inference(superposition,[status(thm)],[c_162,c_53]) ).

cnf(c_10298,plain,
    ( ~ leq(n0,n2)
    | leq(n0,pv1325) ),
    inference(instantiation,[status(thm)],[c_10065]) ).

cnf(c_10299,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_10298,c_8696,c_157]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : SWV135+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.08/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.30  % Computer : n006.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Tue Aug 29 03:18:36 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.15/0.40  Running first-order theorem proving
% 0.15/0.40  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.40/1.09  % SZS status Started for theBenchmark.p
% 0.40/1.09  % SZS status Theorem for theBenchmark.p
% 0.40/1.09  
% 0.40/1.09  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.40/1.09  
% 0.40/1.09  ------  iProver source info
% 0.40/1.09  
% 0.40/1.09  git: date: 2023-05-31 18:12:56 +0000
% 0.40/1.09  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.40/1.09  git: non_committed_changes: false
% 0.40/1.09  git: last_make_outside_of_git: false
% 0.40/1.09  
% 0.40/1.09  ------ Parsing...
% 0.40/1.09  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.40/1.09  
% 0.40/1.09  ------ Preprocessing... sup_sim: 16  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 0.40/1.09  
% 0.40/1.09  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.40/1.09  
% 0.40/1.09  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.40/1.09  ------ Proving...
% 0.40/1.09  ------ Problem Properties 
% 0.40/1.09  
% 0.40/1.09  
% 0.40/1.09  clauses                                 149
% 0.40/1.09  conjectures                             9
% 0.40/1.09  EPR                                     45
% 0.40/1.09  Horn                                    99
% 0.40/1.09  unary                                   55
% 0.40/1.09  binary                                  34
% 0.40/1.09  lits                                    488
% 0.40/1.09  lits eq                                 113
% 0.40/1.09  fd_pure                                 0
% 0.40/1.09  fd_pseudo                               0
% 0.40/1.09  fd_cond                                 6
% 0.40/1.09  fd_pseudo_cond                          4
% 0.40/1.09  AC symbols                              0
% 0.40/1.09  
% 0.40/1.09  ------ Schedule dynamic 5 is on 
% 0.40/1.09  
% 0.40/1.09  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.40/1.09  
% 0.40/1.09  
% 0.40/1.09  ------ 
% 0.40/1.09  Current options:
% 0.40/1.09  ------ 
% 0.40/1.09  
% 0.40/1.09  
% 0.40/1.09  
% 0.40/1.09  
% 0.40/1.09  ------ Proving...
% 0.40/1.09  
% 0.40/1.09  
% 0.40/1.09  % SZS status Theorem for theBenchmark.p
% 0.40/1.09  
% 0.40/1.09  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.40/1.09  
% 0.40/1.09  
%------------------------------------------------------------------------------