TSTP Solution File: SWV139+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV139+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 22:31:18 EDT 2023

% Result   : Theorem 0.43s 1.13s
% Output   : CNFRefutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   33 (  11 unt;   0 def)
%            Number of atoms       :  166 (   9 equ)
%            Maximal formula atoms :   27 (   5 avg)
%            Number of connectives :  183 (  50   ~;  49   |;  56   &)
%                                         (   0 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :   27 (   0 sgn;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( gt(X1,X2)
        & gt(X0,X1) )
     => gt(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_gt) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( X0 != X1
        & leq(X0,X1) )
     => gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt2) ).

fof(f53,conjecture,
    ( ( ( gt(loopcounter,n0)
       => leq(s_worst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & leq(n1,loopcounter)
      & leq(tptp_float_0_001,pv1341) )
   => leq(n0,s_best7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0009) ).

fof(f54,negated_conjecture,
    ~ ( ( ( gt(loopcounter,n0)
         => leq(s_worst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_sworst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_best7,n3) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_worst7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_sworst7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_best7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_worst7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_sworst7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_best7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_worst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_sworst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_best7) )
        & leq(n1,loopcounter)
        & leq(tptp_float_0_001,pv1341) )
     => leq(n0,s_best7) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f64,axiom,
    gt(n1,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).

fof(f108,plain,
    ! [X0,X1,X2] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f109,plain,
    ! [X0,X1,X2] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(flattening,[],[f108]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f113]) ).

fof(f148,plain,
    ( ~ leq(n0,s_best7)
    & ( leq(s_worst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_sworst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_best7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_worst7)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_sworst7)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_best7)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_worst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_sworst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_best7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_worst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_sworst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_best7)
      | leq(tptp_float_0_001,pv1341) )
    & leq(n1,loopcounter)
    & leq(tptp_float_0_001,pv1341) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f149,plain,
    ( ~ leq(n0,s_best7)
    & ( leq(s_worst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_sworst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_best7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_worst7)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_sworst7)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_best7)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_worst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_sworst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_best7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_worst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_sworst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_best7)
      | leq(tptp_float_0_001,pv1341) )
    & leq(n1,loopcounter)
    & leq(tptp_float_0_001,pv1341) ),
    inference(flattening,[],[f148]) ).

fof(f217,plain,
    ! [X2,X0,X1] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f327,plain,
    leq(n1,loopcounter),
    inference(cnf_transformation,[],[f149]) ).

fof(f334,plain,
    ( leq(n0,s_best7)
    | ~ gt(loopcounter,n0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f338,plain,
    ( leq(s_sworst7,n3)
    | ~ gt(loopcounter,n0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f340,plain,
    ~ leq(n0,s_best7),
    inference(cnf_transformation,[],[f149]) ).

fof(f350,plain,
    gt(n1,n0),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_50,plain,
    ( ~ gt(X0,X1)
    | ~ gt(X1,X2)
    | gt(X0,X2) ),
    inference(cnf_transformation,[],[f217]) ).

cnf(c_55,plain,
    ( ~ leq(X0,X1)
    | X0 = X1
    | gt(X1,X0) ),
    inference(cnf_transformation,[],[f222]) ).

cnf(c_157,negated_conjecture,
    ~ leq(n0,s_best7),
    inference(cnf_transformation,[],[f340]) ).

cnf(c_159,negated_conjecture,
    ( ~ gt(loopcounter,n0)
    | leq(s_sworst7,n3) ),
    inference(cnf_transformation,[],[f338]) ).

cnf(c_163,negated_conjecture,
    ( ~ gt(loopcounter,n0)
    | leq(n0,s_best7) ),
    inference(cnf_transformation,[],[f334]) ).

cnf(c_170,negated_conjecture,
    leq(n1,loopcounter),
    inference(cnf_transformation,[],[f327]) ).

cnf(c_181,plain,
    gt(n1,n0),
    inference(cnf_transformation,[],[f350]) ).

cnf(c_314,negated_conjecture,
    ~ gt(loopcounter,n0),
    inference(global_subsumption_just,[status(thm)],[c_159,c_157,c_163]) ).

cnf(c_14071,plain,
    ( n1 = loopcounter
    | gt(loopcounter,n1) ),
    inference(superposition,[status(thm)],[c_170,c_55]) ).

cnf(c_14091,plain,
    ( ~ gt(X0,n1)
    | gt(X0,n0) ),
    inference(superposition,[status(thm)],[c_181,c_50]) ).

cnf(c_14163,plain,
    ( ~ gt(X0,loopcounter)
    | n1 = loopcounter
    | gt(X0,n1) ),
    inference(superposition,[status(thm)],[c_14071,c_50]) ).

cnf(c_14203,plain,
    ( n1 = loopcounter
    | gt(loopcounter,n0) ),
    inference(superposition,[status(thm)],[c_14071,c_14091]) ).

cnf(c_14350,plain,
    n1 = loopcounter,
    inference(global_subsumption_just,[status(thm)],[c_14163,c_157,c_163,c_14203]) ).

cnf(c_14354,plain,
    ~ gt(n1,n0),
    inference(superposition,[status(thm)],[c_14350,c_314]) ).

cnf(c_14356,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_181,c_14354]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV139+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n004.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Tue Aug 29 08:39:07 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.43/1.13  % SZS status Started for theBenchmark.p
% 0.43/1.13  % SZS status Theorem for theBenchmark.p
% 0.43/1.13  
% 0.43/1.13  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.43/1.13  
% 0.43/1.13  ------  iProver source info
% 0.43/1.13  
% 0.43/1.13  git: date: 2023-05-31 18:12:56 +0000
% 0.43/1.13  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.43/1.13  git: non_committed_changes: false
% 0.43/1.13  git: last_make_outside_of_git: false
% 0.43/1.13  
% 0.43/1.13  ------ Parsing...
% 0.43/1.13  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.43/1.13  
% 0.43/1.13  ------ Preprocessing... sup_sim: 17  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 0.43/1.13  
% 0.43/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.43/1.13  
% 0.43/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.43/1.13  ------ Proving...
% 0.43/1.13  ------ Problem Properties 
% 0.43/1.13  
% 0.43/1.13  
% 0.43/1.13  clauses                                 144
% 0.43/1.13  conjectures                             4
% 0.43/1.13  EPR                                     40
% 0.43/1.13  Horn                                    94
% 0.43/1.13  unary                                   50
% 0.43/1.13  binary                                  34
% 0.43/1.13  lits                                    483
% 0.43/1.13  lits eq                                 113
% 0.43/1.13  fd_pure                                 0
% 0.43/1.13  fd_pseudo                               0
% 0.43/1.13  fd_cond                                 6
% 0.43/1.13  fd_pseudo_cond                          4
% 0.43/1.13  AC symbols                              0
% 0.43/1.13  
% 0.43/1.13  ------ Input Options Time Limit: Unbounded
% 0.43/1.13  
% 0.43/1.13  
% 0.43/1.13  ------ 
% 0.43/1.13  Current options:
% 0.43/1.13  ------ 
% 0.43/1.13  
% 0.43/1.13  
% 0.43/1.13  
% 0.43/1.13  
% 0.43/1.13  ------ Proving...
% 0.43/1.13  
% 0.43/1.13  
% 0.43/1.13  % SZS status Theorem for theBenchmark.p
% 0.43/1.13  
% 0.43/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/1.13  
% 0.43/1.13  
%------------------------------------------------------------------------------