TSTP Solution File: SWW470+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW470+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n017.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 00:10:51 EDT 2022

% Result   : Theorem 0.24s 1.43s
% Output   : CNFRefutation 0.24s
% 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    :   32 (  32 usr;  11 con; 0-6 aty)
%            Number of variables   :   41 (   6 sgn  23   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_60_conseq,axiom,
    ! [X15,X3,X14,X13] :
      ( ! [X17,X18] :
          ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X13,X17),X18))
         => ? [X45,X46] :
              ( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X3),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X45,X14,X46)),bot_bo1687970473a_bool)))
              & ! [X21] :
                  ( ! [X22] :
                      ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X45,X22),X18))
                     => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X46,X22),X21)) )
                 => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X15,X17),X21)) ) ) )
     => hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X3),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X13,X14,X15)),bot_bo1687970473a_bool))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_60_conseq) ).

fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U,axiom,
    ! [X57,X58] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X57),X58) = X57,
    file('/export/starexec/sandbox/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,
    ! [X57,X58] :
      ( is_bool(X57)
     => hAPP_state_bool(cOMBK_bool_state(X57),X58) = X57 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).

fof(conj_0,conjecture,
    hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_0) ).

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

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

fof(c_0_6,plain,
    ! [X47,X48,X49,X50,X53,X54,X56] :
      ( ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X50,esk11_4(X47,X48,X49,X50)),esk12_4(X47,X48,X49,X50)))
        | hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X48),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X50,X49,X47)),bot_bo1687970473a_bool))) )
      & ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X53,X56),esk12_4(X47,X48,X49,X50)))
        | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X54,X56),esk13_6(X47,X48,X49,X50,X53,X54)))
        | ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X48),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X53,X49,X54)),bot_bo1687970473a_bool)))
        | hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X48),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X50,X49,X47)),bot_bo1687970473a_bool))) )
      & ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X47,esk11_4(X47,X48,X49,X50)),esk13_6(X47,X48,X49,X50,X53,X54)))
        | ~ hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X48),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X53,X49,X54)),bot_bo1687970473a_bool)))
        | hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X48),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X50,X49,X47)),bot_bo1687970473a_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_60_conseq])])])])])])]) ).

fof(c_0_7,plain,
    ! [X59,X60] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X59),X60) = X59,
    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,
    ! [X59,X60] :
      ( ~ is_bool(X59)
      | hAPP_state_bool(cOMBK_bool_state(X59),X60) = X59 ),
    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_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
    inference(assume_negation,[status(cth)],[conj_0]) ).

cnf(c_0_10,plain,
    ( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(X2,X3,X4)),bot_bo1687970473a_bool)))
    | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,esk11_4(X4,X1,X3,X2)),esk12_4(X4,X1,X3,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

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

cnf(c_0_12,plain,
    ( hAPP_state_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_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

cnf(c_0_16,plain,
    ( hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(X2),X3,X4)),bot_bo1687970473a_bool)))
    | hBOOL(hAPP_state_bool(X2,esk12_4(X4,X1,X3,cOMBK_1458035955bool_a(X2)))) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_17,hypothesis,
    hAPP_state_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_f1753944735l_bool(hoare_472868247rivs_a(g),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1687970473a_bool))),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,hypothesis,
    hBOOL(hAPP_f1753944735l_bool(hoare_472868247rivs_a(X1),hAPP_f1400872321a_bool(hAPP_H1816261935a_bool(insert1871499715iple_a,hoare_1050552211iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),X2,X3)),bot_bo1687970473a_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+1 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n017.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 02:04:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.24/1.43  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.24/1.43  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.24/1.43  # Preprocessing time       : 0.024 s
% 0.24/1.43  
% 0.24/1.43  # Proof found!
% 0.24/1.43  # SZS status Theorem
% 0.24/1.43  # SZS output start CNFRefutation
% See solution above
% 0.24/1.43  # Proof object total steps             : 22
% 0.24/1.43  # Proof object clause steps            : 10
% 0.24/1.43  # Proof object formula steps           : 12
% 0.24/1.43  # Proof object conjectures             : 5
% 0.24/1.43  # Proof object clause conjectures      : 2
% 0.24/1.43  # Proof object formula conjectures     : 3
% 0.24/1.43  # Proof object initial clauses used    : 6
% 0.24/1.43  # Proof object initial formulas used   : 6
% 0.24/1.43  # Proof object generating inferences   : 3
% 0.24/1.43  # Proof object simplifying inferences  : 3
% 0.24/1.43  # Training examples: 0 positive, 0 negative
% 0.24/1.43  # Parsed axioms                        : 144
% 0.24/1.43  # Removed by relevancy pruning/SinE    : 96
% 0.24/1.43  # Initial clauses                      : 79
% 0.24/1.43  # Removed in clause preprocessing      : 3
% 0.24/1.43  # Initial clauses in saturation        : 76
% 0.24/1.43  # Processed clauses                    : 525
% 0.24/1.43  # ...of these trivial                  : 15
% 0.24/1.43  # ...subsumed                          : 87
% 0.24/1.43  # ...remaining for further processing  : 423
% 0.24/1.43  # Other redundant clauses eliminated   : 7
% 0.24/1.43  # Clauses deleted for lack of memory   : 0
% 0.24/1.43  # Backward-subsumed                    : 0
% 0.24/1.43  # Backward-rewritten                   : 2
% 0.24/1.43  # Generated clauses                    : 23089
% 0.24/1.43  # ...of the previous two non-trivial   : 22546
% 0.24/1.43  # Contextual simplify-reflections      : 4
% 0.24/1.43  # Paramodulations                      : 23068
% 0.24/1.43  # Factorizations                       : 1
% 0.24/1.43  # Equation resolutions                 : 21
% 0.24/1.43  # Current number of processed clauses  : 418
% 0.24/1.43  #    Positive orientable unit clauses  : 173
% 0.24/1.43  #    Positive unorientable unit clauses: 10
% 0.24/1.43  #    Negative unit clauses             : 3
% 0.24/1.43  #    Non-unit-clauses                  : 232
% 0.24/1.43  # Current number of unprocessed clauses: 22091
% 0.24/1.43  # ...number of literals in the above   : 27181
% 0.24/1.43  # Current number of archived formulas  : 0
% 0.24/1.43  # Current number of archived clauses   : 3
% 0.24/1.43  # Clause-clause subsumption calls (NU) : 11975
% 0.24/1.43  # Rec. Clause-clause subsumption calls : 11091
% 0.24/1.43  # Non-unit clause-clause subsumptions  : 71
% 0.24/1.43  # Unit Clause-clause subsumption calls : 5586
% 0.24/1.43  # Rewrite failures with RHS unbound    : 0
% 0.24/1.43  # BW rewrite match attempts            : 11223
% 0.24/1.43  # BW rewrite match successes           : 15
% 0.24/1.43  # Condensation attempts                : 0
% 0.24/1.43  # Condensation successes               : 0
% 0.24/1.43  # Termbank termtop insertions          : 1181928
% 0.24/1.43  
% 0.24/1.43  # -------------------------------------------------
% 0.24/1.43  # User time                : 0.291 s
% 0.24/1.43  # System time              : 0.017 s
% 0.24/1.43  # Total time               : 0.308 s
% 0.24/1.43  # Maximum resident set size: 23020 pages
% 0.24/23.42  eprover: CPU time limit exceeded, terminating
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------