TSTP Solution File: SWW470+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW470+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n027.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  : 600s
% DateTime : Thu Jul 21 00:10:52 EDT 2022

% Result   : Theorem 0.31s 2.50s
% Output   : CNFRefutation 0.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (  15 unt;   0 def)
%            Number of atoms       :   40 (   7 equ)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :   30 (  12   ~;  10   |;   3   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   37 (  37 usr;  17 con; 0-6 aty)
%            Number of variables   :   41 (   6 sgn  23   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_145_conseq,axiom,
    ! [X17,X5,X16,X15] :
      ( ! [X19,X20] :
          ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X15,X19),X20))
         => ? [X40,X41] :
              ( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X5),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X40,X16,X41)),bot_bo1181479936a_bool)))
              & ! [X23] :
                  ( ! [X24] :
                      ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X40,X24),X20))
                     => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X41,X24),X23)) )
                 => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X17,X19),X23)) ) ) )
     => hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X5),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X15,X16,X17)),bot_bo1181479936a_bool))) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_145_conseq) ).

fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U,axiom,
    ! [X205,X206] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X205),X206) = X205,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).

fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U,axiom,
    ! [X205,X206] :
      ( is_bool(X205)
     => hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X205),X206) = X205 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).

fof(conj_0,conjecture,
    hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_0) ).

fof(gsy_c_fFalse,hypothesis,
    is_bool(fFalse),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',gsy_c_fFalse) ).

fof(help_fFalse_1_1_U,axiom,
    ~ hBOOL(fFalse),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',help_fFalse_1_1_U) ).

fof(c_0_6,plain,
    ! [X42,X43,X44,X45,X48,X49,X51] :
      ( ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X45,esk15_4(X42,X43,X44,X45)),esk16_4(X42,X43,X44,X45)))
        | hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X43),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X45,X44,X42)),bot_bo1181479936a_bool))) )
      & ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X48,X51),esk16_4(X42,X43,X44,X45)))
        | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X49,X51),esk17_6(X42,X43,X44,X45,X48,X49)))
        | ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X43),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X48,X44,X49)),bot_bo1181479936a_bool)))
        | hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X43),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X45,X44,X42)),bot_bo1181479936a_bool))) )
      & ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X42,esk15_4(X42,X43,X44,X45)),esk17_6(X42,X43,X44,X45,X48,X49)))
        | ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X43),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X48,X44,X49)),bot_bo1181479936a_bool)))
        | hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X43),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X45,X44,X42)),bot_bo1181479936a_bool))) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_145_conseq])])])])])])]) ).

fof(c_0_7,plain,
    ! [X207,X208] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X207),X208) = X207,
    inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U]) ).

fof(c_0_8,plain,
    ! [X207,X208] :
      ( ~ is_bool(X207)
      | hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X207),X208) = X207 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U])])])]) ).

fof(c_0_9,negated_conjecture,
    ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))),
    inference(assume_negation,[status(cth)],[conj_0]) ).

cnf(c_0_10,plain,
    ( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X1),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X2,X3,X4)),bot_bo1181479936a_bool)))
    | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,esk15_4(X4,X1,X3,X2)),esk16_4(X4,X1,X3,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X1),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X1),X2) = X1
    | ~ is_bool(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,hypothesis,
    is_bool(fFalse),
    inference(split_conjunct,[status(thm)],[gsy_c_fFalse]) ).

fof(c_0_14,plain,
    ~ hBOOL(fFalse),
    inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).

fof(c_0_15,negated_conjecture,
    ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

cnf(c_0_16,plain,
    ( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X1),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X2),X3,X4)),bot_bo1181479936a_bool)))
    | hBOOL(hAPP_state_bool(X2,esk16_4(X4,X1,X3,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X2)))) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_17,hypothesis,
    hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse),X1) = fFalse,
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,plain,
    ~ hBOOL(fFalse),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo1181479936a_bool))),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,hypothesis,
    hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X1),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),X2,X3)),bot_bo1181479936a_bool))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW470+2 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n027.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  : 600
% 0.13/0.34  % DateTime : Sun Jun  5 12:43:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.31/2.50  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.31/2.50  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.31/2.50  # Preprocessing time       : 0.052 s
% 0.31/2.50  
% 0.31/2.50  # Proof found!
% 0.31/2.50  # SZS status Theorem
% 0.31/2.50  # SZS output start CNFRefutation
% See solution above
% 0.31/2.50  # Proof object total steps             : 22
% 0.31/2.50  # Proof object clause steps            : 10
% 0.31/2.50  # Proof object formula steps           : 12
% 0.31/2.50  # Proof object conjectures             : 5
% 0.31/2.50  # Proof object clause conjectures      : 2
% 0.31/2.50  # Proof object formula conjectures     : 3
% 0.31/2.50  # Proof object initial clauses used    : 6
% 0.31/2.50  # Proof object initial formulas used   : 6
% 0.31/2.50  # Proof object generating inferences   : 3
% 0.31/2.50  # Proof object simplifying inferences  : 3
% 0.31/2.50  # Training examples: 0 positive, 0 negative
% 0.31/2.50  # Parsed axioms                        : 830
% 0.31/2.50  # Removed by relevancy pruning/SinE    : 738
% 0.31/2.50  # Initial clauses                      : 137
% 0.31/2.50  # Removed in clause preprocessing      : 5
% 0.31/2.50  # Initial clauses in saturation        : 132
% 0.31/2.50  # Processed clauses                    : 1421
% 0.31/2.50  # ...of these trivial                  : 19
% 0.31/2.50  # ...subsumed                          : 459
% 0.31/2.50  # ...remaining for further processing  : 943
% 0.31/2.50  # Other redundant clauses eliminated   : 25
% 0.31/2.50  # Clauses deleted for lack of memory   : 0
% 0.31/2.50  # Backward-subsumed                    : 15
% 0.31/2.50  # Backward-rewritten                   : 1
% 0.31/2.50  # Generated clauses                    : 106289
% 0.31/2.50  # ...of the previous two non-trivial   : 104802
% 0.31/2.50  # Contextual simplify-reflections      : 36
% 0.31/2.50  # Paramodulations                      : 106247
% 0.31/2.50  # Factorizations                       : 0
% 0.31/2.50  # Equation resolutions                 : 43
% 0.31/2.50  # Current number of processed clauses  : 922
% 0.31/2.50  #    Positive orientable unit clauses  : 361
% 0.31/2.50  #    Positive unorientable unit clauses: 9
% 0.31/2.50  #    Negative unit clauses             : 8
% 0.31/2.50  #    Non-unit-clauses                  : 544
% 0.31/2.50  # Current number of unprocessed clauses: 103473
% 0.31/2.50  # ...number of literals in the above   : 149649
% 0.31/2.50  # Current number of archived formulas  : 0
% 0.31/2.50  # Current number of archived clauses   : 16
% 0.31/2.50  # Clause-clause subsumption calls (NU) : 72879
% 0.31/2.50  # Rec. Clause-clause subsumption calls : 59967
% 0.31/2.50  # Non-unit clause-clause subsumptions  : 477
% 0.31/2.50  # Unit Clause-clause subsumption calls : 5984
% 0.31/2.50  # Rewrite failures with RHS unbound    : 2
% 0.31/2.50  # BW rewrite match attempts            : 75488
% 0.31/2.50  # BW rewrite match successes           : 17
% 0.31/2.50  # Condensation attempts                : 0
% 0.31/2.50  # Condensation successes               : 0
% 0.31/2.50  # Termbank termtop insertions          : 7321775
% 0.31/2.50  
% 0.31/2.50  # -------------------------------------------------
% 0.31/2.50  # User time                : 1.218 s
% 0.31/2.50  # System time              : 0.049 s
% 0.31/2.50  # Total time               : 1.267 s
% 0.31/2.50  # Maximum resident set size: 94464 pages
% 0.31/23.49  eprover: CPU time limit exceeded, terminating
% 0.31/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.50  eprover: No such file or directory
% 0.31/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.51  eprover: No such file or directory
% 0.31/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.51  eprover: No such file or directory
% 0.31/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.51  eprover: No such file or directory
% 0.31/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.52  eprover: No such file or directory
% 0.31/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.52  eprover: No such file or directory
% 0.31/23.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.52  eprover: No such file or directory
% 0.31/23.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.53  eprover: No such file or directory
% 0.31/23.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.53  eprover: No such file or directory
% 0.31/23.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.53  eprover: No such file or directory
% 0.31/23.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.54  eprover: No such file or directory
%------------------------------------------------------------------------------