TSTP Solution File: SWW469+5 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW469+5 : TPTP v8.1.2. Released v5.3.0.
% 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 : Fri May  3 03:25:03 EDT 2024

% Result   : Theorem 3.42s 1.22s
% Output   : CNFRefutation 3.42s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,axiom,
    ( hBOOL(hoare_1883395792gleton)
  <=> ? [X4,X5] : ti(state,X4) != ti(state,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).

fof(f62,axiom,
    hBOOL(hoare_1883395792gleton),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f63,conjecture,
    ! [X5] :
      ~ ! [X4] : ti(state,X4) = ti(state,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(f64,negated_conjecture,
    ~ ! [X5] :
        ~ ! [X4] : ti(state,X4) = ti(state,X5),
    inference(negated_conjecture,[],[f63]) ).

fof(f69,plain,
    ( hBOOL(hoare_1883395792gleton)
  <=> ? [X0,X1] : ti(state,X0) != ti(state,X1) ),
    inference(rectify,[],[f18]) ).

fof(f103,plain,
    ~ ! [X0] :
        ~ ! [X1] : ti(state,X0) = ti(state,X1),
    inference(rectify,[],[f64]) ).

fof(f138,plain,
    ? [X0] :
    ! [X1] : ti(state,X0) = ti(state,X1),
    inference(ennf_transformation,[],[f103]) ).

fof(f140,plain,
    ( ( hBOOL(hoare_1883395792gleton)
      | ! [X0,X1] : ti(state,X0) = ti(state,X1) )
    & ( ? [X0,X1] : ti(state,X0) != ti(state,X1)
      | ~ hBOOL(hoare_1883395792gleton) ) ),
    inference(nnf_transformation,[],[f69]) ).

fof(f141,plain,
    ( ( hBOOL(hoare_1883395792gleton)
      | ! [X0,X1] : ti(state,X0) = ti(state,X1) )
    & ( ? [X2,X3] : ti(state,X2) != ti(state,X3)
      | ~ hBOOL(hoare_1883395792gleton) ) ),
    inference(rectify,[],[f140]) ).

fof(f142,plain,
    ( ? [X2,X3] : ti(state,X2) != ti(state,X3)
   => ti(state,sK0) != ti(state,sK1) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ( ( hBOOL(hoare_1883395792gleton)
      | ! [X0,X1] : ti(state,X0) = ti(state,X1) )
    & ( ti(state,sK0) != ti(state,sK1)
      | ~ hBOOL(hoare_1883395792gleton) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f141,f142]) ).

fof(f170,plain,
    ( ? [X0] :
      ! [X1] : ti(state,X0) = ti(state,X1)
   => ! [X1] : ti(state,X1) = ti(state,sK11) ),
    introduced(choice_axiom,[]) ).

fof(f171,plain,
    ! [X1] : ti(state,X1) = ti(state,sK11),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f138,f170]) ).

fof(f190,plain,
    ( ti(state,sK0) != ti(state,sK1)
    | ~ hBOOL(hoare_1883395792gleton) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f247,plain,
    hBOOL(hoare_1883395792gleton),
    inference(cnf_transformation,[],[f62]) ).

fof(f248,plain,
    ! [X1] : ti(state,X1) = ti(state,sK11),
    inference(cnf_transformation,[],[f171]) ).

cnf(c_68,plain,
    ( ti(state,sK0) != ti(state,sK1)
    | ~ hBOOL(hoare_1883395792gleton) ),
    inference(cnf_transformation,[],[f190]) ).

cnf(c_123,plain,
    hBOOL(hoare_1883395792gleton),
    inference(cnf_transformation,[],[f247]) ).

cnf(c_124,negated_conjecture,
    ti(state,X0) = ti(state,sK11),
    inference(cnf_transformation,[],[f248]) ).

cnf(c_186,plain,
    ti(state,sK0) != ti(state,sK1),
    inference(global_subsumption_just,[status(thm)],[c_68,c_123,c_68]) ).

cnf(c_1518,plain,
    ti(state,sK11) = sP0_iProver_def,
    definition ).

cnf(c_1519,negated_conjecture,
    ti(state,X0) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_124,c_1518]) ).

cnf(c_2639,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_186,c_1519]) ).

cnf(c_2640,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_2639]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWW469+5 : TPTP v8.1.2. Released v5.3.0.
% 0.14/0.15  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  2 22:00:34 EDT 2024
% 0.23/0.36  % CPUTime  : 
% 0.23/0.50  Running first-order theorem proving
% 0.23/0.50  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
% 3.42/1.22  % SZS status Started for theBenchmark.p
% 3.42/1.22  % SZS status Theorem for theBenchmark.p
% 3.42/1.22  
% 3.42/1.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.42/1.22  
% 3.42/1.22  ------  iProver source info
% 3.42/1.22  
% 3.42/1.22  git: date: 2024-05-02 19:28:25 +0000
% 3.42/1.22  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.42/1.22  git: non_committed_changes: false
% 3.42/1.22  
% 3.42/1.22  ------ Parsing...
% 3.42/1.22  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.42/1.22  
% 3.42/1.22  ------ Preprocessing... sup_sim: 8  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 
% 3.42/1.22  
% 3.42/1.22  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.42/1.22  
% 3.42/1.22  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.42/1.22  ------ Proving...
% 3.42/1.22  ------ Problem Properties 
% 3.42/1.22  
% 3.42/1.22  
% 3.42/1.22  clauses                                 73
% 3.42/1.22  conjectures                             1
% 3.42/1.22  EPR                                     7
% 3.42/1.22  Horn                                    71
% 3.42/1.22  unary                                   35
% 3.42/1.22  binary                                  22
% 3.42/1.22  lits                                    133
% 3.42/1.22  lits eq                                 45
% 3.42/1.22  fd_pure                                 0
% 3.42/1.22  fd_pseudo                               0
% 3.42/1.22  fd_cond                                 0
% 3.42/1.22  fd_pseudo_cond                          3
% 3.42/1.22  AC symbols                              0
% 3.42/1.22  
% 3.42/1.22  ------ Schedule dynamic 5 is on 
% 3.42/1.22  
% 3.42/1.22  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.42/1.22  
% 3.42/1.22  
% 3.42/1.22  ------ 
% 3.42/1.22  Current options:
% 3.42/1.22  ------ 
% 3.42/1.22  
% 3.42/1.22  
% 3.42/1.22  
% 3.42/1.22  
% 3.42/1.22  ------ Proving...
% 3.42/1.22  
% 3.42/1.22  
% 3.42/1.22  % SZS status Theorem for theBenchmark.p
% 3.42/1.22  
% 3.42/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.42/1.22  
% 3.42/1.22  
%------------------------------------------------------------------------------