TSTP Solution File: SYO894_8 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYO894_8 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 03:39:06 EDT 2024

% Result   : Theorem 1.55s 1.20s
% Output   : CNFRefutation 1.55s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f27)

% Comments : 
%------------------------------------------------------------------------------
tff(f2,conjecture,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ( p(X0)
         => ~ p(X0) ) )
  <=> ~ ? [X0: '$ki_world'] :
          ( p(X0)
          & '$ki_accessible'('$ki_local_world',X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).

tff(f3,negated_conjecture,
    ~ ( ! [X0: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X0)
         => ( p(X0)
           => ~ p(X0) ) )
    <=> ~ ? [X0: '$ki_world'] :
            ( p(X0)
            & '$ki_accessible'('$ki_local_world',X0) ) ),
    inference(negated_conjecture,[],[f2]) ).

tff(f4,plain,
    ~ ( ! [X0: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X0)
         => ( p(X0)
           => ~ p(X0) ) )
    <=> ~ ? [X1: '$ki_world'] :
            ( p(X1)
            & '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(rectify,[],[f3]) ).

tff(f5,plain,
    ( ! [X0: '$ki_world'] :
        ( ~ p(X0)
        | ~ p(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
  <~> ! [X1: '$ki_world'] :
        ( ~ p(X1)
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f6,plain,
    ( ! [X0: '$ki_world'] :
        ( ~ p(X0)
        | ~ p(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
  <~> ! [X1: '$ki_world'] :
        ( ~ p(X1)
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(flattening,[],[f5]) ).

tff(f7,plain,
    ( ( ? [X1: '$ki_world'] :
          ( p(X1)
          & '$ki_accessible'('$ki_local_world',X1) )
      | ? [X0: '$ki_world'] :
          ( p(X0)
          & p(X0)
          & '$ki_accessible'('$ki_local_world',X0) ) )
    & ( ! [X1: '$ki_world'] :
          ( ~ p(X1)
          | ~ '$ki_accessible'('$ki_local_world',X1) )
      | ! [X0: '$ki_world'] :
          ( ~ p(X0)
          | ~ p(X0)
          | ~ '$ki_accessible'('$ki_local_world',X0) ) ) ),
    inference(nnf_transformation,[],[f6]) ).

tff(f8,plain,
    ( ( ? [X0: '$ki_world'] :
          ( p(X0)
          & '$ki_accessible'('$ki_local_world',X0) )
      | ? [X1: '$ki_world'] :
          ( p(X1)
          & p(X1)
          & '$ki_accessible'('$ki_local_world',X1) ) )
    & ( ! [X2: '$ki_world'] :
          ( ~ p(X2)
          | ~ '$ki_accessible'('$ki_local_world',X2) )
      | ! [X3: '$ki_world'] :
          ( ~ p(X3)
          | ~ p(X3)
          | ~ '$ki_accessible'('$ki_local_world',X3) ) ) ),
    inference(rectify,[],[f7]) ).

tff(f9,plain,
    ( ? [X0: '$ki_world'] :
        ( p(X0)
        & '$ki_accessible'('$ki_local_world',X0) )
   => ( p(sK0)
      & '$ki_accessible'('$ki_local_world',sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f10,plain,
    ( ? [X1: '$ki_world'] :
        ( p(X1)
        & p(X1)
        & '$ki_accessible'('$ki_local_world',X1) )
   => ( p(sK1)
      & p(sK1)
      & '$ki_accessible'('$ki_local_world',sK1) ) ),
    introduced(choice_axiom,[]) ).

tff(f11,plain,
    ( ( ( p(sK0)
        & '$ki_accessible'('$ki_local_world',sK0) )
      | ( p(sK1)
        & p(sK1)
        & '$ki_accessible'('$ki_local_world',sK1) ) )
    & ( ! [X2: '$ki_world'] :
          ( ~ p(X2)
          | ~ '$ki_accessible'('$ki_local_world',X2) )
      | ! [X3: '$ki_world'] :
          ( ~ p(X3)
          | ~ p(X3)
          | ~ '$ki_accessible'('$ki_local_world',X3) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10,f9]) ).

tff(f14,plain,
    ( '$ki_accessible'('$ki_local_world',sK0)
    | '$ki_accessible'('$ki_local_world',sK1) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f15,plain,
    ( '$ki_accessible'('$ki_local_world',sK0)
    | p(sK1) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f17,plain,
    ( p(sK0)
    | '$ki_accessible'('$ki_local_world',sK1) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f18,plain,
    ( p(sK0)
    | p(sK1) ),
    inference(cnf_transformation,[],[f11]) ).

cnf(c_51,negated_conjecture,
    ( p(sK0)
    | p(sK1) ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_52,negated_conjecture,
    ( '$ki_accessible'('$ki_local_world',sK1)
    | p(sK0) ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_54,negated_conjecture,
    ( '$ki_accessible'('$ki_local_world',sK0)
    | p(sK1) ),
    inference(cnf_transformation,[],[f15]) ).

cnf(c_55,negated_conjecture,
    ( '$ki_accessible'('$ki_local_world',sK0)
    | '$ki_accessible'('$ki_local_world',sK1) ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_56,negated_conjecture,
    ( ~ '$ki_accessible'('$ki_local_world',X0_13)
    | ~ '$ki_accessible'('$ki_local_world',X1_13)
    | ~ p(X0_13)
    | ~ p(X1_13) ),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_111,negated_conjecture,
    ( ~ '$ki_accessible'('$ki_local_world',X0_13)
    | ~ p(X0_13)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_56]) ).

cnf(c_112,negated_conjecture,
    sP0_iProver_def,
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_56]) ).

cnf(c_113,negated_conjecture,
    sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_112]) ).

cnf(c_115,negated_conjecture,
    ( ~ '$ki_accessible'('$ki_local_world',X0_13)
    | ~ p(X0_13)
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_111]) ).

cnf(c_120,plain,
    ( ~ '$ki_accessible'('$ki_local_world',sK0)
    | ~ p(sK0)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_121,plain,
    ( ~ '$ki_accessible'('$ki_local_world',sK1)
    | ~ p(sK1)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_122,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_121,c_120,c_113,c_55,c_52,c_54,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYO894_8 : TPTP v8.2.0. Released v8.2.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 20:09:12 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 1.55/1.20  % SZS status Started for theBenchmark.p
% 1.55/1.20  % SZS status Theorem for theBenchmark.p
% 1.55/1.20  
% 1.55/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.55/1.20  
% 1.55/1.20  ------  iProver source info
% 1.55/1.20  
% 1.55/1.20  git: date: 2024-05-02 19:28:25 +0000
% 1.55/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.55/1.20  git: non_committed_changes: false
% 1.55/1.20  
% 1.55/1.20  ------ Parsing...
% 1.55/1.20  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.55/1.20  
% 1.55/1.20  
% 1.55/1.20  ------ Preprocessing... pe_s  pe_e  pe_s  pe_e 
% 1.55/1.20  
% 1.55/1.20  ------ Preprocessing...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.55/1.20   gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.55/1.20  ------ Proving...
% 1.55/1.20  ------ Problem Properties 
% 1.55/1.20  
% 1.55/1.20  
% 1.55/1.20  clauses                                 7
% 1.55/1.20  conjectures                             6
% 1.55/1.20  EPR                                     7
% 1.55/1.20  Horn                                    3
% 1.55/1.20  unary                                   2
% 1.55/1.20  binary                                  4
% 1.55/1.20  lits                                    13
% 1.55/1.20  lits eq                                 0
% 1.55/1.20  fd_pure                                 0
% 1.55/1.20  fd_pseudo                               0
% 1.55/1.20  fd_cond                                 0
% 1.55/1.20  fd_pseudo_cond                          0
% 1.55/1.20  AC symbols                              0
% 1.55/1.20  
% 1.55/1.20  ------ Schedule EPR non Horn non eq is on
% 1.55/1.20  
% 1.55/1.20  ------ no equalities: superposition off 
% 1.55/1.20  
% 1.55/1.20  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.55/1.20  
% 1.55/1.20  
% 1.55/1.20  ------ 
% 1.55/1.20  Current options:
% 1.55/1.20  ------ 
% 1.55/1.20  
% 1.55/1.20  
% 1.55/1.20  
% 1.55/1.20  
% 1.55/1.20  ------ Proving...
% 1.55/1.20  
% 1.55/1.20  
% 1.55/1.20  % SZS status Theorem for theBenchmark.p
% 1.55/1.20  
% 1.55/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.55/1.20  
% 1.55/1.20  
%------------------------------------------------------------------------------