TSTP Solution File: SWW374+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW374+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n025.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 00:10:41 EDT 2022

% Result   : Theorem 0.95s 2.13s
% Output   : CNFRefutation 0.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  16 unt;   0 def)
%            Number of atoms       :   33 (  14 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  11   ~;   7   |;   0   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   28 (   3 sgn  16   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_domD,axiom,
    ! [X23,X22,X11,X5] :
      ( hBOOL(hAPP(hAPP(c_member(X5),X11),c_Map_Odom(X5,X22,X23)))
     => ? [X28] : hAPP(X23,X11) = hAPP(c_Option_Ooption_OSome(X22),X28) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_domD) ).

fof(fact_the_Osimps,axiom,
    ! [X24,X5] : hAPP(c_Option_Othe(X5),hAPP(c_Option_Ooption_OSome(X5),X24)) = X24,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_the_Osimps) ).

fof(conj_3,hypothesis,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_3) ).

fof(fact_WT__bodiesD,axiom,
    ! [X12,X13] :
      ( c_Com_OWT__bodies
     => ( hAPP(c_Com_Obody,X13) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X12)
       => hBOOL(hAPP(c_Com_OWT,X12)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_WT__bodiesD) ).

fof(conj_4,conjecture,
    hBOOL(hAPP(c_Com_OWT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_4) ).

fof(conj_1,hypothesis,
    c_Com_OWT__bodies,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).

fof(c_0_6,plain,
    ! [X29,X30,X31,X32] :
      ( ~ hBOOL(hAPP(hAPP(c_member(X32),X31),c_Map_Odom(X32,X30,X29)))
      | hAPP(X29,X31) = hAPP(c_Option_Ooption_OSome(X30),esk5_3(X29,X30,X31)) ),
    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_domD])])])])])]) ).

fof(c_0_7,plain,
    ! [X25,X26] : hAPP(c_Option_Othe(X26),hAPP(c_Option_Ooption_OSome(X26),X25)) = X25,
    inference(variable_rename,[status(thm)],[fact_the_Osimps]) ).

cnf(c_0_8,plain,
    ( hAPP(X1,X2) = hAPP(c_Option_Ooption_OSome(X3),esk5_3(X1,X3,X2))
    | ~ hBOOL(hAPP(hAPP(c_member(X4),X2),c_Map_Odom(X4,X3,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,hypothesis,
    hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),
    inference(split_conjunct,[status(thm)],[conj_3]) ).

fof(c_0_10,plain,
    ! [X14,X15] :
      ( ~ c_Com_OWT__bodies
      | hAPP(c_Com_Obody,X15) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X14)
      | hBOOL(hAPP(c_Com_OWT,X14)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_WT__bodiesD])])])]) ).

cnf(c_0_11,plain,
    hAPP(c_Option_Othe(X1),hAPP(c_Option_Ooption_OSome(X1),X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,hypothesis,
    hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),esk5_3(c_Com_Obody,tc_Com_Ocom,v_pn)) = hAPP(c_Com_Obody,v_pn),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

fof(c_0_13,negated_conjecture,
    ~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)))),
    inference(assume_negation,[status(cth)],[conj_4]) ).

cnf(c_0_14,plain,
    ( hBOOL(hAPP(c_Com_OWT,X1))
    | hAPP(c_Com_Obody,X2) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)
    | ~ c_Com_OWT__bodies ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,hypothesis,
    c_Com_OWT__bodies,
    inference(split_conjunct,[status(thm)],[conj_1]) ).

cnf(c_0_16,hypothesis,
    esk5_3(c_Com_Obody,tc_Com_Ocom,v_pn) = hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

fof(c_0_17,negated_conjecture,
    ~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)))),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

cnf(c_0_18,plain,
    ( hBOOL(hAPP(c_Com_OWT,X1))
    | hAPP(c_Com_Obody,X2) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).

cnf(c_0_19,hypothesis,
    hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))) = hAPP(c_Com_Obody,v_pn),
    inference(rw,[status(thm)],[c_0_12,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)))),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_21,hypothesis,
    hAPP(c_Com_Obody,X1) != hAPP(c_Com_Obody,v_pn),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_22,hypothesis,
    $false,
    inference(er,[status(thm)],[c_0_21]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW374+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun  5 14:27:02 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.95/2.13  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.95/2.13  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.95/2.13  # Preprocessing time       : 0.239 s
% 0.95/2.13  
% 0.95/2.13  # Proof found!
% 0.95/2.13  # SZS status Theorem
% 0.95/2.13  # SZS output start CNFRefutation
% See solution above
% 0.95/2.13  # Proof object total steps             : 23
% 0.95/2.13  # Proof object clause steps            : 12
% 0.95/2.13  # Proof object formula steps           : 11
% 0.95/2.13  # Proof object conjectures             : 4
% 0.95/2.13  # Proof object clause conjectures      : 1
% 0.95/2.13  # Proof object formula conjectures     : 3
% 0.95/2.13  # Proof object initial clauses used    : 6
% 0.95/2.13  # Proof object initial formulas used   : 6
% 0.95/2.13  # Proof object generating inferences   : 4
% 0.95/2.13  # Proof object simplifying inferences  : 4
% 0.95/2.13  # Training examples: 0 positive, 0 negative
% 0.95/2.13  # Parsed axioms                        : 5249
% 0.95/2.13  # Removed by relevancy pruning/SinE    : 5148
% 0.95/2.13  # Initial clauses                      : 133
% 0.95/2.13  # Removed in clause preprocessing      : 12
% 0.95/2.13  # Initial clauses in saturation        : 121
% 0.95/2.13  # Processed clauses                    : 141
% 0.95/2.13  # ...of these trivial                  : 1
% 0.95/2.13  # ...subsumed                          : 31
% 0.95/2.13  # ...remaining for further processing  : 109
% 0.95/2.13  # Other redundant clauses eliminated   : 5
% 0.95/2.13  # Clauses deleted for lack of memory   : 0
% 0.95/2.13  # Backward-subsumed                    : 0
% 0.95/2.13  # Backward-rewritten                   : 1
% 0.95/2.13  # Generated clauses                    : 814
% 0.95/2.13  # ...of the previous two non-trivial   : 775
% 0.95/2.13  # Contextual simplify-reflections      : 1
% 0.95/2.13  # Paramodulations                      : 790
% 0.95/2.13  # Factorizations                       : 4
% 0.95/2.13  # Equation resolutions                 : 20
% 0.95/2.13  # Current number of processed clauses  : 108
% 0.95/2.13  #    Positive orientable unit clauses  : 17
% 0.95/2.13  #    Positive unorientable unit clauses: 12
% 0.95/2.13  #    Negative unit clauses             : 14
% 0.95/2.13  #    Non-unit-clauses                  : 65
% 0.95/2.13  # Current number of unprocessed clauses: 739
% 0.95/2.13  # ...number of literals in the above   : 1858
% 0.95/2.13  # Current number of archived formulas  : 0
% 0.95/2.13  # Current number of archived clauses   : 1
% 0.95/2.13  # Clause-clause subsumption calls (NU) : 947
% 0.95/2.13  # Rec. Clause-clause subsumption calls : 849
% 0.95/2.13  # Non-unit clause-clause subsumptions  : 21
% 0.95/2.13  # Unit Clause-clause subsumption calls : 203
% 0.95/2.13  # Rewrite failures with RHS unbound    : 11
% 0.95/2.13  # BW rewrite match attempts            : 78
% 0.95/2.13  # BW rewrite match successes           : 24
% 0.95/2.13  # Condensation attempts                : 0
% 0.95/2.13  # Condensation successes               : 0
% 0.95/2.13  # Termbank termtop insertions          : 157097
% 0.95/2.13  
% 0.95/2.13  # -------------------------------------------------
% 0.95/2.13  # User time                : 0.252 s
% 0.95/2.13  # System time              : 0.007 s
% 0.95/2.13  # Total time               : 0.259 s
% 0.95/2.13  # Maximum resident set size: 13996 pages
% 0.95/24.12  eprover: CPU time limit exceeded, terminating
% 0.95/24.12  eprover: CPU time limit exceeded, terminating
% 0.95/24.14  eprover: CPU time limit exceeded, terminating
% 0.95/24.14  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.14  eprover: eprover: No such file or directory
% 0.95/24.14  Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.14  eprover: No such file or directory
% 0.95/24.14  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.14  eprover: No such file or directory
% 0.95/24.14  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.14  eprover: No such file or directory
% 0.95/24.14  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.14  eprover: No such file or directory
% 0.95/24.15  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.15  eprover: No such file or directory
% 0.95/24.15  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.15  eprover: No such file or directory
% 0.95/24.15  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.15  eprover: No such file or directory
% 0.95/24.15  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.15  eprover: No such file or directory
% 0.95/24.15  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.15  eprover: No such file or directory
% 0.95/24.16  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.16  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.16  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.16  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.16  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.16  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.16  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.16  eprover: No such file or directory
% 0.95/24.17  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.17  eprover: No such file or directory
% 0.95/24.17  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.17  eprover: No such file or directory
% 0.95/24.17  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.17  eprover: No such file or directory
% 0.95/24.17  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.17  eprover: No such file or directory
% 0.95/24.17  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.17  eprover: No such file or directory
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.18  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.18  eprover: No such file or directory
% 0.95/24.19  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.19  eprover: No such file or directory
% 0.95/24.19  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.95/24.19  eprover: No such file or directory
% 0.95/24.19  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.19  eprover: No such file or directory
% 0.95/24.20  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.20  eprover: No such file or directory
% 0.95/24.20  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.95/24.20  eprover: No such file or directory
%------------------------------------------------------------------------------