TSTP Solution File: SWW955+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWW955+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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 00:11:45 EDT 2022

% Result   : Theorem 0.25s 1.42s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   46 (  20 unt;   0 def)
%            Number of atoms       :   76 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   56 (  26   ~;  22   |;   1   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :   45 (   3 sgn  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax79,axiom,
    ! [X34] :
      ( pred_attacker(tuple_A_in_2(X34))
     => pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax79) ).

fof(ax70,axiom,
    ! [X25] :
      ( pred_attacker(X25)
     => pred_attacker(tuple_A_in_2(X25)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax70) ).

fof(ax78,axiom,
    ! [X33] :
      ( pred_attacker(tuple_A_in_2(X33))
     => pred_attacker(tuple_A_out_3(constr_comm_dec(X33,name_Ka))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax78) ).

fof(ax46,axiom,
    ! [X3,X4] : constr_comm_dec(constr_comm_enc(X4,X3),X3) = X4,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax46) ).

fof(ax76,axiom,
    ! [X32] : pred_attacker(name_new0x2Dname(X32)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax76) ).

fof(ax50,axiom,
    ! [X7,X8] :
      ( ( pred_attacker(X7)
        & pred_attacker(X8) )
     => pred_attacker(constr_dec(X7,X8)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax50) ).

fof(ax45,axiom,
    ! [X1,X2] : constr_dec(constr_enc(X2,X1),X1) = X2,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax45) ).

fof(ax65,axiom,
    ! [X20] :
      ( pred_attacker(tuple_A_out_4(X20))
     => pred_attacker(X20) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax65) ).

fof(co0,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co0) ).

fof(ax67,axiom,
    ! [X22] :
      ( pred_attacker(tuple_A_out_3(X22))
     => pred_attacker(X22) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax67) ).

fof(ax69,axiom,
    ! [X24] :
      ( pred_attacker(tuple_A_out_1(X24))
     => pred_attacker(X24) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax69) ).

fof(ax77,axiom,
    pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax77) ).

fof(c_0_12,plain,
    ! [X35] :
      ( ~ pred_attacker(tuple_A_in_2(X35))
      | pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])])]) ).

fof(c_0_13,plain,
    ! [X26] :
      ( ~ pred_attacker(X26)
      | pred_attacker(tuple_A_in_2(X26)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax70])]) ).

fof(c_0_14,plain,
    ! [X34] :
      ( ~ pred_attacker(tuple_A_in_2(X34))
      | pred_attacker(tuple_A_out_3(constr_comm_dec(X34,name_Ka))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).

fof(c_0_15,plain,
    ! [X5,X6] : constr_comm_dec(constr_comm_enc(X6,X5),X5) = X6,
    inference(variable_rename,[status(thm)],[ax46]) ).

cnf(c_0_16,plain,
    ( pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))
    | ~ pred_attacker(tuple_A_in_2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( pred_attacker(tuple_A_in_2(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_18,plain,
    ! [X33] : pred_attacker(name_new0x2Dname(X33)),
    inference(variable_rename,[status(thm)],[ax76]) ).

cnf(c_0_19,plain,
    ( pred_attacker(tuple_A_out_3(constr_comm_dec(X1,name_Ka)))
    | ~ pred_attacker(tuple_A_in_2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    constr_comm_dec(constr_comm_enc(X1,X2),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_21,plain,
    ! [X9,X10] :
      ( ~ pred_attacker(X9)
      | ~ pred_attacker(X10)
      | pred_attacker(constr_dec(X9,X10)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])]) ).

fof(c_0_22,plain,
    ! [X3,X4] : constr_dec(constr_enc(X4,X3),X3) = X4,
    inference(variable_rename,[status(thm)],[ax45]) ).

fof(c_0_23,plain,
    ! [X21] :
      ( ~ pred_attacker(tuple_A_out_4(X21))
      | pred_attacker(X21) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])]) ).

cnf(c_0_24,plain,
    ( pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_25,plain,
    pred_attacker(name_new0x2Dname(X1)),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_26,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(assume_negation,[status(cth)],[co0]) ).

fof(c_0_27,plain,
    ! [X23] :
      ( ~ pred_attacker(tuple_A_out_3(X23))
      | pred_attacker(X23) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax67])]) ).

cnf(c_0_28,plain,
    ( pred_attacker(tuple_A_out_3(X1))
    | ~ pred_attacker(tuple_A_in_2(constr_comm_enc(X1,name_Ka))) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

fof(c_0_29,plain,
    ! [X25] :
      ( ~ pred_attacker(tuple_A_out_1(X25))
      | pred_attacker(X25) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax69])]) ).

cnf(c_0_30,plain,
    ( pred_attacker(constr_dec(X1,X2))
    | ~ pred_attacker(X2)
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_31,plain,
    constr_dec(constr_enc(X1,X2),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_32,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_A_out_4(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,plain,
    pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

fof(c_0_34,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

cnf(c_0_35,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_A_out_3(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_36,plain,
    ( pred_attacker(tuple_A_out_3(X1))
    | ~ pred_attacker(constr_comm_enc(X1,name_Ka)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_17]) ).

cnf(c_0_37,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_A_out_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_38,plain,
    pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka))),
    inference(split_conjunct,[status(thm)],[ax77]) ).

cnf(c_0_39,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_enc(X1,X2))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_40,plain,
    pred_attacker(constr_enc(name_objective,name_m_9)),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_41,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_42,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_comm_enc(X1,name_Ka)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_43,plain,
    pred_attacker(constr_comm_enc(name_m_9,name_Ka)),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_44,plain,
    ~ pred_attacker(name_m_9),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

cnf(c_0_45,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW955+1 : TPTP v8.1.0. Released v7.4.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n022.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 16:57:50 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.25/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42  # Preprocessing time       : 0.015 s
% 0.25/1.42  
% 0.25/1.42  # Failure: Out of unprocessed clauses!
% 0.25/1.42  # OLD status GaveUp
% 0.25/1.42  # Parsed axioms                        : 82
% 0.25/1.42  # Removed by relevancy pruning/SinE    : 30
% 0.25/1.42  # Initial clauses                      : 52
% 0.25/1.42  # Removed in clause preprocessing      : 0
% 0.25/1.42  # Initial clauses in saturation        : 52
% 0.25/1.42  # Processed clauses                    : 52
% 0.25/1.42  # ...of these trivial                  : 0
% 0.25/1.42  # ...subsumed                          : 0
% 0.25/1.42  # ...remaining for further processing  : 52
% 0.25/1.42  # Other redundant clauses eliminated   : 0
% 0.25/1.42  # Clauses deleted for lack of memory   : 0
% 0.25/1.42  # Backward-subsumed                    : 0
% 0.25/1.42  # Backward-rewritten                   : 0
% 0.25/1.42  # Generated clauses                    : 0
% 0.25/1.42  # ...of the previous two non-trivial   : 0
% 0.25/1.42  # Contextual simplify-reflections      : 0
% 0.25/1.42  # Paramodulations                      : 0
% 0.25/1.42  # Factorizations                       : 0
% 0.25/1.42  # Equation resolutions                 : 0
% 0.25/1.42  # Current number of processed clauses  : 52
% 0.25/1.42  #    Positive orientable unit clauses  : 6
% 0.25/1.42  #    Positive unorientable unit clauses: 0
% 0.25/1.42  #    Negative unit clauses             : 46
% 0.25/1.42  #    Non-unit-clauses                  : 0
% 0.25/1.42  # Current number of unprocessed clauses: 0
% 0.25/1.42  # ...number of literals in the above   : 0
% 0.25/1.42  # Current number of archived formulas  : 0
% 0.25/1.42  # Current number of archived clauses   : 0
% 0.25/1.42  # Clause-clause subsumption calls (NU) : 0
% 0.25/1.42  # Rec. Clause-clause subsumption calls : 0
% 0.25/1.42  # Non-unit clause-clause subsumptions  : 0
% 0.25/1.42  # Unit Clause-clause subsumption calls : 1
% 0.25/1.42  # Rewrite failures with RHS unbound    : 0
% 0.25/1.42  # BW rewrite match attempts            : 0
% 0.25/1.42  # BW rewrite match successes           : 0
% 0.25/1.42  # Condensation attempts                : 0
% 0.25/1.42  # Condensation successes               : 0
% 0.25/1.42  # Termbank termtop insertions          : 768
% 0.25/1.42  
% 0.25/1.42  # -------------------------------------------------
% 0.25/1.42  # User time                : 0.012 s
% 0.25/1.42  # System time              : 0.003 s
% 0.25/1.42  # Total time               : 0.015 s
% 0.25/1.42  # Maximum resident set size: 2768 pages
% 0.25/1.42  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.25/1.42  # Preprocessing time       : 0.015 s
% 0.25/1.42  
% 0.25/1.42  # Proof found!
% 0.25/1.42  # SZS status Theorem
% 0.25/1.42  # SZS output start CNFRefutation
% See solution above
% 0.25/1.43  # Proof object total steps             : 46
% 0.25/1.43  # Proof object clause steps            : 22
% 0.25/1.43  # Proof object formula steps           : 24
% 0.25/1.43  # Proof object conjectures             : 4
% 0.25/1.43  # Proof object clause conjectures      : 1
% 0.25/1.43  # Proof object formula conjectures     : 3
% 0.25/1.43  # Proof object initial clauses used    : 12
% 0.25/1.43  # Proof object initial formulas used   : 12
% 0.25/1.43  # Proof object generating inferences   : 10
% 0.25/1.43  # Proof object simplifying inferences  : 2
% 0.25/1.43  # Training examples: 0 positive, 0 negative
% 0.25/1.43  # Parsed axioms                        : 82
% 0.25/1.43  # Removed by relevancy pruning/SinE    : 0
% 0.25/1.43  # Initial clauses                      : 82
% 0.25/1.43  # Removed in clause preprocessing      : 0
% 0.25/1.43  # Initial clauses in saturation        : 82
% 0.25/1.43  # Processed clauses                    : 93
% 0.25/1.43  # ...of these trivial                  : 0
% 0.25/1.43  # ...subsumed                          : 0
% 0.25/1.43  # ...remaining for further processing  : 92
% 0.25/1.43  # Other redundant clauses eliminated   : 0
% 0.25/1.43  # Clauses deleted for lack of memory   : 0
% 0.25/1.43  # Backward-subsumed                    : 1
% 0.25/1.43  # Backward-rewritten                   : 1
% 0.25/1.43  # Generated clauses                    : 47
% 0.25/1.43  # ...of the previous two non-trivial   : 37
% 0.25/1.43  # Contextual simplify-reflections      : 0
% 0.25/1.43  # Paramodulations                      : 47
% 0.25/1.43  # Factorizations                       : 0
% 0.25/1.43  # Equation resolutions                 : 0
% 0.25/1.43  # Current number of processed clauses  : 90
% 0.25/1.43  #    Positive orientable unit clauses  : 16
% 0.25/1.43  #    Positive unorientable unit clauses: 0
% 0.25/1.43  #    Negative unit clauses             : 47
% 0.25/1.43  #    Non-unit-clauses                  : 27
% 0.25/1.43  # Current number of unprocessed clauses: 3
% 0.25/1.43  # ...number of literals in the above   : 7
% 0.25/1.43  # Current number of archived formulas  : 0
% 0.25/1.43  # Current number of archived clauses   : 2
% 0.25/1.43  # Clause-clause subsumption calls (NU) : 263
% 0.25/1.43  # Rec. Clause-clause subsumption calls : 242
% 0.25/1.43  # Non-unit clause-clause subsumptions  : 1
% 0.25/1.43  # Unit Clause-clause subsumption calls : 122
% 0.25/1.43  # Rewrite failures with RHS unbound    : 0
% 0.25/1.43  # BW rewrite match attempts            : 1
% 0.25/1.43  # BW rewrite match successes           : 1
% 0.25/1.43  # Condensation attempts                : 0
% 0.25/1.43  # Condensation successes               : 0
% 0.25/1.43  # Termbank termtop insertions          : 2564
% 0.25/1.43  
% 0.25/1.43  # -------------------------------------------------
% 0.25/1.43  # User time                : 0.017 s
% 0.25/1.43  # System time              : 0.001 s
% 0.25/1.43  # Total time               : 0.018 s
% 0.25/1.43  # Maximum resident set size: 2968 pages
%------------------------------------------------------------------------------