TSTP Solution File: SYN358+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN358+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 03:30:17 EDT 2024

% Result   : Theorem 1.53s 1.23s
% Output   : CNFRefutation 1.53s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f16)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ? [X0] :
        ( big_q(X0)
        & p )
  <=> ( ? [X0] : big_q(X0)
      & p ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2109) ).

fof(f2,negated_conjecture,
    ~ ( ? [X0] :
          ( big_q(X0)
          & p )
    <=> ( ? [X0] : big_q(X0)
        & p ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ( ? [X0] :
          ( big_q(X0)
          & p )
    <=> ( ? [X1] : big_q(X1)
        & p ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ? [X0] :
        ( big_q(X0)
        & p )
  <~> ( ? [X1] : big_q(X1)
      & p ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ! [X1] : ~ big_q(X1)
      | ~ p
      | ! [X0] :
          ( ~ big_q(X0)
          | ~ p ) )
    & ( ( ? [X1] : big_q(X1)
        & p )
      | ? [X0] :
          ( big_q(X0)
          & p ) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( ! [X1] : ~ big_q(X1)
      | ~ p
      | ! [X0] :
          ( ~ big_q(X0)
          | ~ p ) )
    & ( ( ? [X1] : big_q(X1)
        & p )
      | ? [X0] :
          ( big_q(X0)
          & p ) ) ),
    inference(flattening,[],[f5]) ).

fof(f7,plain,
    ( ( ! [X0] : ~ big_q(X0)
      | ~ p
      | ! [X1] :
          ( ~ big_q(X1)
          | ~ p ) )
    & ( ( ? [X2] : big_q(X2)
        & p )
      | ? [X3] :
          ( big_q(X3)
          & p ) ) ),
    inference(rectify,[],[f6]) ).

fof(f8,plain,
    ( ? [X2] : big_q(X2)
   => big_q(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ( ? [X3] :
        ( big_q(X3)
        & p )
   => ( big_q(sK1)
      & p ) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ( ( ! [X0] : ~ big_q(X0)
      | ~ p
      | ! [X1] :
          ( ~ big_q(X1)
          | ~ p ) )
    & ( ( big_q(sK0)
        & p )
      | ( big_q(sK1)
        & p ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8]) ).

fof(f14,plain,
    ( big_q(sK0)
    | big_q(sK1) ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_49,negated_conjecture,
    ( ~ big_q(X0)
    | ~ big_q(X1)
    | ~ p ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_50,negated_conjecture,
    ( big_q(sK0)
    | big_q(sK1) ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_53,negated_conjecture,
    p,
    inference(cnf_transformation,[],[f17]) ).

cnf(c_54,plain,
    ( ~ big_q(sK0)
    | ~ p ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_59,negated_conjecture,
    big_q(sK1),
    inference(global_subsumption_just,[status(thm)],[c_50,c_53,c_50,c_54]) ).

cnf(c_61,plain,
    ( ~ big_q(X1)
    | ~ big_q(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_49,c_53,c_49]) ).

cnf(c_62,negated_conjecture,
    ( ~ big_q(X0)
    | ~ big_q(X1) ),
    inference(renaming,[status(thm)],[c_61]) ).

cnf(c_78,negated_conjecture,
    ( ~ big_q(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_62]) ).

cnf(c_79,negated_conjecture,
    sP0_iProver_def,
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_62]) ).

cnf(c_80,negated_conjecture,
    sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_79]) ).

cnf(c_82,negated_conjecture,
    ( ~ big_q(X0)
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_78]) ).

cnf(c_83,negated_conjecture,
    big_q(sK1),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_86,negated_conjecture,
    ~ big_q(X0),
    inference(global_subsumption_just,[status(thm)],[c_82,c_80,c_82]) ).

cnf(c_88,plain,
    $false,
    inference(resolution,[status(thm)],[c_86,c_83]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15  % Problem  : SYN358+1 : TPTP v8.1.2. Released v2.0.0.
% 0.09/0.16  % Command  : run_iprover %s %d THM
% 0.16/0.37  % Computer : n002.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Thu May  2 21:13:27 EDT 2024
% 0.16/0.38  % CPUTime  : 
% 0.23/0.53  Running first-order theorem proving
% 0.23/0.53  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
% 1.53/1.23  % SZS status Started for theBenchmark.p
% 1.53/1.23  % SZS status Theorem for theBenchmark.p
% 1.53/1.23  
% 1.53/1.23  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.53/1.23  
% 1.53/1.23  ------  iProver source info
% 1.53/1.23  
% 1.53/1.23  git: date: 2024-05-02 19:28:25 +0000
% 1.53/1.23  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.53/1.23  git: non_committed_changes: false
% 1.53/1.23  
% 1.53/1.23  ------ Parsing...
% 1.53/1.23  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 1.53/1.23  
% 1.53/1.23  
% 1.53/1.23  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.53/1.23  
% 1.53/1.23  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 1.53/1.23   gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.53/1.23  ------ Proving...
% 1.53/1.23  ------ Problem Properties 
% 1.53/1.23  
% 1.53/1.23  
% 1.53/1.23  clauses                                 3
% 1.53/1.23  conjectures                             3
% 1.53/1.23  EPR                                     3
% 1.53/1.23  Horn                                    3
% 1.53/1.23  unary                                   2
% 1.53/1.23  binary                                  1
% 1.53/1.23  lits                                    4
% 1.53/1.23  lits eq                                 0
% 1.53/1.23  fd_pure                                 0
% 1.53/1.23  fd_pseudo                               0
% 1.53/1.23  fd_cond                                 0
% 1.53/1.23  fd_pseudo_cond                          0
% 1.53/1.23  AC symbols                              0
% 1.53/1.23  
% 1.53/1.23  ------ Schedule EPR Horn non eq is on
% 1.53/1.23  
% 1.53/1.23  ------ no equalities: superposition off 
% 1.53/1.23  
% 1.53/1.23  ------ Option_epr_horn Time Limit: Unbounded
% 1.53/1.23  
% 1.53/1.23  
% 1.53/1.23  ------ 
% 1.53/1.23  Current options:
% 1.53/1.23  ------ 
% 1.53/1.23  
% 1.53/1.23  
% 1.53/1.23  
% 1.53/1.23  
% 1.53/1.23  ------ Proving...
% 1.53/1.23  
% 1.53/1.23  
% 1.53/1.23  % SZS status Theorem for theBenchmark.p
% 1.53/1.23  
% 1.53/1.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.53/1.23  
% 1.53/1.23  
%------------------------------------------------------------------------------