TSTP Solution File: LCL421-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL421-1 : TPTP v8.1.2. Released v2.5.0.
% 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 07:44:21 EDT 2023

% Result   : Satisfiable 112.40s 15.81s
% Output   : Saturation 112.40s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(c_50,plain,
    is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv1) ).

cnf(c_51,plain,
    is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv2) ).

cnf(c_52,plain,
    is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv3) ).

cnf(c_53,plain,
    is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv4) ).

cnf(c_54,negated_conjecture,
    ~ is_a_theorem(implies(not(implies(implies(not(a),not(implies(implies(b,c),c))),not(implies(implies(b,c),c)))),implies(implies(not(implies(implies(not(a),not(b)),not(b))),not(implies(implies(not(a),not(c)),not(c)))),not(implies(implies(not(a),not(c)),not(c)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ka1) ).

cnf(c_149,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_210,plain,
    ( ~ is_a_theorem(implies(not(X0),not(X1)))
    | is_a_theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_53,c_49]) ).

cnf(c_221,plain,
    ( ~ is_a_theorem(not(X0))
    | is_a_theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_149,c_210]) ).

cnf(c_305,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_354,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(implies(X0,X2)) ),
    inference(superposition,[status(thm)],[c_305,c_49]) ).

cnf(c_539,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(X1,X2)) ),
    inference(superposition,[status(thm)],[c_50,c_354]) ).

cnf(c_540,plain,
    ( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
    | is_a_theorem(implies(implies(X2,X0),X3)) ),
    inference(superposition,[status(thm)],[c_51,c_354]) ).

cnf(c_711,plain,
    ( ~ is_a_theorem(not(implies(X0,X1)))
    | is_a_theorem(implies(X1,X2)) ),
    inference(superposition,[status(thm)],[c_221,c_539]) ).

cnf(c_712,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
    inference(superposition,[status(thm)],[c_50,c_539]) ).

cnf(c_852,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(X2,X0))) ),
    inference(superposition,[status(thm)],[c_712,c_49]) ).

cnf(c_1312,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X1,X2),implies(X3,X0))) ),
    inference(superposition,[status(thm)],[c_852,c_540]) ).

cnf(c_1717,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_1725,plain,
    ~ is_a_theorem(implies(implies(not(implies(implies(not(a),not(b)),not(b))),not(implies(implies(not(a),not(c)),not(c)))),not(implies(implies(not(a),not(c)),not(c))))),
    inference(superposition,[status(thm)],[c_1717,c_54]) ).

cnf(c_1726,plain,
    ~ is_a_theorem(not(implies(implies(not(a),not(c)),not(c)))),
    inference(superposition,[status(thm)],[c_1717,c_1725]) ).

cnf(c_1742,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_1745,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X1))
    | is_a_theorem(implies(implies(X1,X0),X0)) ),
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_1782,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(implies(X0,X2)) ),
    inference(superposition,[status(thm)],[c_1742,c_49]) ).

cnf(c_1791,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X0,X1),X1)) ),
    inference(superposition,[status(thm)],[c_1717,c_1745]) ).

cnf(c_2136,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(X1,X2)) ),
    inference(superposition,[status(thm)],[c_50,c_1782]) ).

cnf(c_2487,plain,
    is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(superposition,[status(thm)],[c_53,c_2136]) ).

cnf(c_2590,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(not(X0),X2)) ),
    inference(superposition,[status(thm)],[c_2487,c_1782]) ).

cnf(c_3910,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(not(X0),X1)) ),
    inference(superposition,[status(thm)],[c_1791,c_2590]) ).

cnf(c_4985,plain,
    ~ is_a_theorem(implies(implies(not(a),not(implies(implies(b,c),c))),not(implies(implies(b,c),c)))),
    inference(superposition,[status(thm)],[c_3910,c_54]) ).

cnf(c_5013,plain,
    ~ is_a_theorem(not(a)),
    inference(superposition,[status(thm)],[c_1791,c_4985]) ).

cnf(c_32638,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_32646,plain,
    ~ is_a_theorem(implies(implies(not(implies(implies(not(a),not(b)),not(b))),not(implies(implies(not(a),not(c)),not(c)))),not(implies(implies(not(a),not(c)),not(c))))),
    inference(superposition,[status(thm)],[c_32638,c_54]) ).

cnf(c_32655,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_32658,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X1))
    | is_a_theorem(implies(implies(X1,X0),X0)) ),
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_32672,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(implies(X0,X2)) ),
    inference(superposition,[status(thm)],[c_32655,c_49]) ).

cnf(c_32712,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X0,X1),X1)) ),
    inference(superposition,[status(thm)],[c_32638,c_32658]) ).

cnf(c_32713,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(implies(X1,X0),X2),X2)) ),
    inference(superposition,[status(thm)],[c_1312,c_32658]) ).

cnf(c_32725,plain,
    ~ is_a_theorem(not(implies(implies(not(a),not(b)),not(b)))),
    inference(superposition,[status(thm)],[c_32712,c_32646]) ).

cnf(c_32733,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | ~ is_a_theorem(X1)
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_32713,c_49]) ).

cnf(c_32748,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_51,c_32733]) ).

cnf(c_32781,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(implies(X2,X1)) ),
    inference(superposition,[status(thm)],[c_32748,c_49]) ).

cnf(c_32799,plain,
    ( ~ is_a_theorem(implies(not(X0),not(X1)))
    | is_a_theorem(implies(X2,implies(X1,X0))) ),
    inference(superposition,[status(thm)],[c_53,c_32781]) ).

cnf(c_32973,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(X1,X2)) ),
    inference(superposition,[status(thm)],[c_50,c_32672]) ).

cnf(c_32976,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(implies(not(X1),not(X0)),X2)) ),
    inference(superposition,[status(thm)],[c_53,c_32672]) ).

cnf(c_33050,plain,
    is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_51,c_32973]) ).

cnf(c_33052,plain,
    is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(superposition,[status(thm)],[c_53,c_32973]) ).

cnf(c_33059,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X1)) ),
    inference(superposition,[status(thm)],[c_32713,c_32973]) ).

cnf(c_33091,plain,
    is_a_theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_33052,c_33059]) ).

cnf(c_33103,plain,
    is_a_theorem(implies(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_33091,c_32799]) ).

cnf(c_33111,plain,
    is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
    inference(superposition,[status(thm)],[c_33103,c_32658]) ).

cnf(c_33290,plain,
    ( ~ is_a_theorem(implies(implies(X0,X0),X1))
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_33111,c_49]) ).

cnf(c_33331,plain,
    is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
    inference(superposition,[status(thm)],[c_33050,c_33290]) ).

cnf(c_33516,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | ~ is_a_theorem(implies(X2,X3))
    | is_a_theorem(implies(implies(not(X1),not(X0)),X3)) ),
    inference(superposition,[status(thm)],[c_32976,c_32672]) ).

cnf(c_159066,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))
    | is_a_theorem(implies(implies(not(X2),not(X1)),X3)) ),
    inference(superposition,[status(thm)],[c_50,c_33516]) ).

cnf(c_163114,plain,
    is_a_theorem(implies(implies(not(X0),not(X1)),implies(X2,implies(X1,X0)))),
    inference(superposition,[status(thm)],[c_33331,c_159066]) ).

cnf(c_274557,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_274793,plain,
    ~ is_a_theorem(implies(implies(not(implies(implies(not(a),not(b)),not(b))),not(implies(implies(not(a),not(c)),not(c)))),not(implies(implies(not(a),not(c)),not(c))))),
    inference(superposition,[status(thm)],[c_274557,c_54]) ).

cnf(c_275813,plain,
    ( ~ is_a_theorem(implies(not(X0),not(X1)))
    | is_a_theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_53,c_49]) ).

cnf(c_276691,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_280222,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X1))
    | is_a_theorem(implies(implies(X1,X0),X0)) ),
    inference(superposition,[status(thm)],[c_52,c_49]) ).

cnf(c_283798,plain,
    ( ~ is_a_theorem(not(X0))
    | is_a_theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_274557,c_275813]) ).

cnf(c_297638,plain,
    ( ~ is_a_theorem(implies(not(X0),not(X1)))
    | is_a_theorem(implies(X2,implies(X1,X0))) ),
    inference(superposition,[status(thm)],[c_163114,c_49]) ).

cnf(c_302622,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(implies(X0,X2)) ),
    inference(superposition,[status(thm)],[c_276691,c_49]) ).

cnf(c_307151,plain,
    ( ~ is_a_theorem(not(implies(X0,X1)))
    | is_a_theorem(implies(implies(X1,X0),X0)) ),
    inference(superposition,[status(thm)],[c_283798,c_280222]) ).

cnf(c_307152,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X0,X1),X1)) ),
    inference(superposition,[status(thm)],[c_274557,c_280222]) ).

cnf(c_318334,plain,
    ( ~ is_a_theorem(not(X0))
    | is_a_theorem(implies(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_274557,c_297638]) ).

cnf(c_328206,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(X1,X2)) ),
    inference(superposition,[status(thm)],[c_50,c_302622]) ).

cnf(c_333321,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
    inference(superposition,[status(thm)],[c_50,c_328206]) ).

cnf(c_333322,plain,
    is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
    inference(superposition,[status(thm)],[c_51,c_328206]) ).

cnf(c_333323,plain,
    is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
    inference(superposition,[status(thm)],[c_52,c_328206]) ).

cnf(c_333324,plain,
    is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(superposition,[status(thm)],[c_53,c_328206]) ).

cnf(c_333327,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X1)) ),
    inference(superposition,[status(thm)],[c_307152,c_328206]) ).

cnf(c_333329,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(X2,X0))) ),
    inference(superposition,[status(thm)],[c_1312,c_328206]) ).

cnf(c_333331,plain,
    is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_163114,c_328206]) ).

cnf(c_359965,plain,
    is_a_theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_163114,c_333327]) ).

cnf(c_369912,plain,
    is_a_theorem(implies(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_359965,c_297638]) ).

cnf(c_376472,plain,
    is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
    inference(superposition,[status(thm)],[c_369912,c_280222]) ).

cnf(c_383710,plain,
    ( ~ is_a_theorem(implies(implies(X0,X0),X1))
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_376472,c_49]) ).

cnf(c_396215,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
    inference(superposition,[status(thm)],[c_333321,c_383710]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL421-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Aug 25 02:09:38 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 112.40/15.81  % SZS status Started for theBenchmark.p
% 112.40/15.81  % SZS status Satisfiable for theBenchmark.p
% 112.40/15.81  
% 112.40/15.81  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 112.40/15.81  
% 112.40/15.81  ------  iProver source info
% 112.40/15.81  
% 112.40/15.81  git: date: 2023-05-31 18:12:56 +0000
% 112.40/15.81  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 112.40/15.81  git: non_committed_changes: false
% 112.40/15.81  git: last_make_outside_of_git: false
% 112.40/15.81  
% 112.40/15.81  ------ Parsing...successful
% 112.40/15.81  
% 112.40/15.81  
% 112.40/15.81  
% 112.40/15.81  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 112.40/15.81  
% 112.40/15.81  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 112.40/15.81  ------ Proving...
% 112.40/15.81  ------ Problem Properties 
% 112.40/15.81  
% 112.40/15.81  
% 112.40/15.81  clauses                                 6
% 112.40/15.81  conjectures                             1
% 112.40/15.81  EPR                                     0
% 112.40/15.81  Horn                                    6
% 112.40/15.81  unary                                   5
% 112.40/15.81  binary                                  0
% 112.40/15.81  lits                                    8
% 112.40/15.81  lits eq                                 0
% 112.40/15.81  fd_pure                                 0
% 112.40/15.81  fd_pseudo                               0
% 112.40/15.81  fd_cond                                 0
% 112.40/15.81  fd_pseudo_cond                          0
% 112.40/15.81  AC symbols                              0
% 112.40/15.81  
% 112.40/15.81  ------ Schedule dynamic 5 is on 
% 112.40/15.81  
% 112.40/15.81  ------ no equalities: superposition off 
% 112.40/15.81  
% 112.40/15.81  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 112.40/15.81  
% 112.40/15.81  
% 112.40/15.81  ------ 
% 112.40/15.81  Current options:
% 112.40/15.81  ------ 
% 112.40/15.81  
% 112.40/15.81  
% 112.40/15.81  
% 112.40/15.81  
% 112.40/15.81  ------ Proving...
% 112.40/15.81  Proof_search_loop: time out after: 3975 full_loop iterations
% 112.40/15.81  
% 112.40/15.81  ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 112.40/15.81  
% 112.40/15.81  
% 112.40/15.81  ------ 
% 112.40/15.81  Current options:
% 112.40/15.81  ------ 
% 112.40/15.81  
% 112.40/15.81  
% 112.40/15.81  
% 112.40/15.81  
% 112.40/15.81  ------ Proving...
% 112.40/15.81  
% 112.40/15.81  
% 112.40/15.81  % SZS status Satisfiable for theBenchmark.p
% 112.40/15.81  
% 112.40/15.81  % SZS output start Saturation for theBenchmark.p
% See solution above
% 112.40/15.81  
% 112.40/15.81  
%------------------------------------------------------------------------------