%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM837+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 02:50:50 EDT 2024

% Result   : Theorem 0.75s 1.11s
% Output   : CNFRefutation 0.75s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f90)

% Comments : 
%------------------------------------------------------------------------------
fof(f79,plain,
    ! [X0,X1] :
      ( ? [X3] : vplus(X1,X3) = X0
     => vplus(X1,sK0(X0,X1)) = X0 ),
    introduced(choice_axiom,[]) ).

cnf(c_49,negated_conjecture,
    vplus(vd268,X0) != vd269,
    inference(cnf_transformation,[],[f88]) ).

cnf(c_51,plain,
    less(vd268,vd269),
    inference(cnf_transformation,[],[f90]) ).

fof(f15,axiom,
    ! [X15,X16] :
      ( less(X16,X15)
    <=> ? [X17] : vplus(X16,X17) = X15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).

fof(f138,plain,
    ! [X2,X1] : less(X1,vplus(X1,X2)),
    inference(equality_resolution,[],[f106]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( less(X1,X0)
    <=> ? [X2] : vplus(X1,X2) = X0 ),
    inference(rectify,[],[f15]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ( less(X1,X0)
        | ! [X2] : vplus(X1,X2) != X0 )
      & ( ? [X2] : vplus(X1,X2) = X0
        | ~ less(X1,X0) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ( less(X1,X0)
        | ! [X2] : vplus(X1,X2) != X0 )
      & ( ? [X3] : vplus(X1,X3) = X0
        | ~ less(X1,X0) ) ),
    inference(rectify,[],[f77]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ( less(X1,X0)
        | ! [X2] : vplus(X1,X2) != X0 )
      & ( vplus(X1,sK0(X0,X1)) = X0
        | ~ less(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f78,f79]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( vplus(X1,sK0(X0,X1)) = X0
      | ~ less(X1,X0) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( less(X1,X0)
      | vplus(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_67,plain,
    ( ~ less(X0,X1)
    | vplus(X0,sK0(X1,X0)) = X1 ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_443,plain,
    ( X0 != vd269
    | X1 != vd268
    | vplus(X1,sK0(X0,X1)) = X0 ),
    inference(resolution_lifted,[status(thm)],[c_51,c_67]) ).

cnf(c_444,plain,
    vplus(vd268,sK0(vd269,vd268)) = vd269,
    inference(unflattening,[status(thm)],[c_443]) ).

cnf(c_447,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_444,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : NUM837+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n020.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 19:42:01 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  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
% 0.75/1.11  % SZS status Started for theBenchmark.p
% 0.75/1.11  % SZS status Theorem for theBenchmark.p
% 0.75/1.11  
% 0.75/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.75/1.11  
% 0.75/1.11  ------  iProver source info
% 0.75/1.11  
% 0.75/1.11  git: date: 2024-05-02 19:28:25 +0000
% 0.75/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.75/1.11  git: non_committed_changes: false
% 0.75/1.11  
% 0.75/1.11  ------ Parsing...
% 0.75/1.11  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.75/1.11  
% 0.75/1.11  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s
% 0.75/1.11  
% 0.75/1.11  % SZS status Theorem for theBenchmark.p
% 0.75/1.11  
% 0.75/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.75/1.11  
% 0.75/1.11  
%------------------------------------------------------------------------------