TSTP Solution File: NUM293+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM293+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 11:29:17 EDT 2023

% Result   : Theorem 3.45s 1.16s
% Output   : CNFRefutation 3.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (  13 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  14   ~;   9   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   33 (   6 sgn;  22   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,axiom,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn13) ).

fof(f129,axiom,
    rdn_translate(nn1,rdn_neg(rdnn(n1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn1) ).

fof(f282,axiom,
    ! [X0,X1,X9,X10] :
      ( ( rdn_translate(X1,rdn_pos(X10))
        & rdn_translate(X0,rdn_neg(X9)) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).

fof(f402,conjecture,
    ? [X0] : less(X0,n13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_less_n13) ).

fof(f403,negated_conjecture,
    ~ ? [X0] : less(X0,n13),
    inference(negated_conjecture,[],[f402]) ).

fof(f409,plain,
    ! [X0,X1,X2,X3] :
      ( ( rdn_translate(X1,rdn_pos(X3))
        & rdn_translate(X0,rdn_neg(X2)) )
     => less(X0,X1) ),
    inference(rectify,[],[f282]) ).

fof(f436,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(ennf_transformation,[],[f409]) ).

fof(f437,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(flattening,[],[f436]) ).

fof(f471,plain,
    ! [X0] : ~ less(X0,n13),
    inference(ennf_transformation,[],[f403]) ).

fof(f488,plain,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    inference(cnf_transformation,[],[f14]) ).

fof(f603,plain,
    rdn_translate(nn1,rdn_neg(rdnn(n1))),
    inference(cnf_transformation,[],[f129]) ).

fof(f756,plain,
    ! [X2,X3,X0,X1] :
      ( less(X0,X1)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(cnf_transformation,[],[f437]) ).

fof(f879,plain,
    ! [X0] : ~ less(X0,n13),
    inference(cnf_transformation,[],[f471]) ).

cnf(c_62,plain,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    inference(cnf_transformation,[],[f488]) ).

cnf(c_177,plain,
    rdn_translate(nn1,rdn_neg(rdnn(n1))),
    inference(cnf_transformation,[],[f603]) ).

cnf(c_330,plain,
    ( ~ rdn_translate(X0,rdn_neg(X1))
    | ~ rdn_translate(X2,rdn_pos(X3))
    | less(X0,X2) ),
    inference(cnf_transformation,[],[f756]) ).

cnf(c_453,negated_conjecture,
    ~ less(X0,n13),
    inference(cnf_transformation,[],[f879]) ).

cnf(c_5164,plain,
    ( ~ rdn_translate(X0,rdn_neg(X1))
    | less(X0,n13) ),
    inference(superposition,[status(thm)],[c_62,c_330]) ).

cnf(c_5165,plain,
    ~ rdn_translate(X0,rdn_neg(X1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_5164,c_453]) ).

cnf(c_5166,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_177,c_5165]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM293+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 09:48:06 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.45/1.16  % SZS status Started for theBenchmark.p
% 3.45/1.16  % SZS status Theorem for theBenchmark.p
% 3.45/1.16  
% 3.45/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.45/1.16  
% 3.45/1.16  ------  iProver source info
% 3.45/1.16  
% 3.45/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.45/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.45/1.16  git: non_committed_changes: false
% 3.45/1.16  git: last_make_outside_of_git: false
% 3.45/1.16  
% 3.45/1.16  ------ Parsing...
% 3.45/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.45/1.16  
% 3.45/1.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.45/1.16  
% 3.45/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.45/1.16  
% 3.45/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.45/1.16  ------ Proving...
% 3.45/1.16  ------ Problem Properties 
% 3.45/1.16  
% 3.45/1.16  
% 3.45/1.16  clauses                                 402
% 3.45/1.16  conjectures                             1
% 3.45/1.16  EPR                                     8
% 3.45/1.16  Horn                                    400
% 3.45/1.16  unary                                   376
% 3.45/1.16  binary                                  6
% 3.45/1.16  lits                                    472
% 3.45/1.16  lits eq                                 5
% 3.45/1.16  fd_pure                                 0
% 3.45/1.16  fd_pseudo                               0
% 3.45/1.16  fd_cond                                 0
% 3.45/1.16  fd_pseudo_cond                          5
% 3.45/1.16  AC symbols                              0
% 3.45/1.16  
% 3.45/1.16  ------ Schedule dynamic 5 is on 
% 3.45/1.16  
% 3.45/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.45/1.16  
% 3.45/1.16  
% 3.45/1.16  ------ 
% 3.45/1.16  Current options:
% 3.45/1.16  ------ 
% 3.45/1.16  
% 3.45/1.16  
% 3.45/1.16  
% 3.45/1.16  
% 3.45/1.16  ------ Proving...
% 3.45/1.16  
% 3.45/1.16  
% 3.45/1.16  % SZS status Theorem for theBenchmark.p
% 3.45/1.16  
% 3.45/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.45/1.16  
% 3.45/1.16  
%------------------------------------------------------------------------------