TSTP Solution File: SWW955+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWW955+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 : Sat May  4 10:04:39 EDT 2024

% Result   : Theorem 0.21s 0.52s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   43 (  17 unt;   0 def)
%            Number of atoms       :   73 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   55 (  25   ~;  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    :   11 (  11 usr;   3 con; 0-2 aty)
%            Number of variables   :   42 (   2 sgn  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax67,axiom,
    ! [X22] :
      ( pred_attacker(tuple_A_out_3(X22))
     => pred_attacker(X22) ),
    file('/export/starexec/sandbox/tmp/tmp.OUlw2j0RCP/E---3.1_4291.p',ax67) ).

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/tmp/tmp.OUlw2j0RCP/E---3.1_4291.p',ax78) ).

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/tmp/tmp.OUlw2j0RCP/E---3.1_4291.p',ax79) ).

fof(ax70,axiom,
    ! [X25] :
      ( pred_attacker(X25)
     => pred_attacker(tuple_A_in_2(X25)) ),
    file('/export/starexec/sandbox/tmp/tmp.OUlw2j0RCP/E---3.1_4291.p',ax70) ).

fof(ax46,axiom,
    ! [X3,X4] : constr_comm_dec(constr_comm_enc(X4,X3),X3) = X4,
    file('/export/starexec/sandbox/tmp/tmp.OUlw2j0RCP/E---3.1_4291.p',ax46) ).

fof(ax69,axiom,
    ! [X24] :
      ( pred_attacker(tuple_A_out_1(X24))
     => pred_attacker(X24) ),
    file('/export/starexec/sandbox/tmp/tmp.OUlw2j0RCP/E---3.1_4291.p',ax69) ).

fof(ax50,axiom,
    ! [X7,X8] :
      ( ( pred_attacker(X7)
        & pred_attacker(X8) )
     => pred_attacker(constr_dec(X7,X8)) ),
    file('/export/starexec/sandbox/tmp/tmp.OUlw2j0RCP/E---3.1_4291.p',ax50) ).

fof(ax45,axiom,
    ! [X1,X2] : constr_dec(constr_enc(X2,X1),X1) = X2,
    file('/export/starexec/sandbox/tmp/tmp.OUlw2j0RCP/E---3.1_4291.p',ax45) ).

fof(ax65,axiom,
    ! [X20] :
      ( pred_attacker(tuple_A_out_4(X20))
     => pred_attacker(X20) ),
    file('/export/starexec/sandbox/tmp/tmp.OUlw2j0RCP/E---3.1_4291.p',ax65) ).

fof(ax77,axiom,
    pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka))),
    file('/export/starexec/sandbox/tmp/tmp.OUlw2j0RCP/E---3.1_4291.p',ax77) ).

fof(co0,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox/tmp/tmp.OUlw2j0RCP/E---3.1_4291.p',co0) ).

fof(c_0_11,plain,
    ! [X54] :
      ( ~ pred_attacker(tuple_A_out_3(X54))
      | pred_attacker(X54) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax67])])]) ).

fof(c_0_12,plain,
    ! [X37] :
      ( ~ pred_attacker(tuple_A_in_2(X37))
      | pred_attacker(tuple_A_out_3(constr_comm_dec(X37,name_Ka))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])])]) ).

fof(c_0_13,plain,
    ! [X36] :
      ( ~ pred_attacker(tuple_A_in_2(X36))
      | pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).

fof(c_0_14,plain,
    ! [X45] :
      ( ~ pred_attacker(X45)
      | pred_attacker(tuple_A_in_2(X45)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax70])])]) ).

cnf(c_0_15,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_A_out_3(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,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_12]) ).

fof(c_0_17,plain,
    ! [X49,X50] : constr_comm_dec(constr_comm_enc(X50,X49),X49) = X50,
    inference(variable_rename,[status(thm)],[ax46]) ).

cnf(c_0_18,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_13]) ).

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

cnf(c_0_20,plain,
    ( pred_attacker(constr_comm_dec(X1,name_Ka))
    | ~ pred_attacker(tuple_A_in_2(X1)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,plain,
    constr_comm_dec(constr_comm_enc(X1,X2),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_22,plain,
    ! [X48] :
      ( ~ pred_attacker(tuple_A_out_1(X48))
      | pred_attacker(X48) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax69])])]) ).

fof(c_0_23,plain,
    ! [X61,X62] :
      ( ~ pred_attacker(X61)
      | ~ pred_attacker(X62)
      | pred_attacker(constr_dec(X61,X62)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])]) ).

fof(c_0_24,plain,
    ! [X41,X42] : constr_dec(constr_enc(X42,X41),X41) = X42,
    inference(variable_rename,[status(thm)],[ax45]) ).

fof(c_0_25,plain,
    ! [X40] :
      ( ~ pred_attacker(tuple_A_out_4(X40))
      | pred_attacker(X40) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])])]) ).

cnf(c_0_26,plain,
    ( pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_27,plain,
    pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka))),
    inference(split_conjunct,[status(thm)],[ax77]) ).

cnf(c_0_28,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_A_in_2(constr_comm_enc(X1,name_Ka))) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_29,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_A_out_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_30,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co0])]) ).

cnf(c_0_31,plain,
    ( pred_attacker(constr_dec(X1,X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_32,plain,
    constr_dec(constr_enc(X1,X2),X2) = X1,
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_33,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_A_out_4(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_34,plain,
    pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_35,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_comm_enc(X1,name_Ka)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_19]) ).

cnf(c_0_36,plain,
    pred_attacker(constr_comm_enc(name_m_9,name_Ka)),
    inference(spm,[status(thm)],[c_0_29,c_0_27]) ).

fof(c_0_37,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(fof_nnf,[status(thm)],[c_0_30]) ).

cnf(c_0_38,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(constr_enc(X1,X2))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_39,plain,
    pred_attacker(constr_enc(name_objective,name_m_9)),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_40,plain,
    pred_attacker(name_m_9),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_41,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_42,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]),c_0_41]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWW955+1 : TPTP v8.1.2. Released v7.4.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n019.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    : 300
% 0.14/0.35  % DateTime   : Fri May  3 13:18:29 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.OUlw2j0RCP/E---3.1_4291.p
% 0.21/0.52  # Version: 3.1.0
% 0.21/0.52  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.52  # Starting sh5l with 300s (1) cores
% 0.21/0.52  # sh5l with pid 4390 completed with status 0
% 0.21/0.52  # Result found by sh5l
% 0.21/0.52  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.52  # Starting sh5l with 300s (1) cores
% 0.21/0.52  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.52  # Search class: FHUSS-FFMM21-SFFFFFNN
% 0.21/0.52  # partial match(1): FHUSS-FFMM21-MFFFFFNN
% 0.21/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.52  # SAT001_MinMin_p005000_rr_RG with pid 4393 completed with status 0
% 0.21/0.52  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.52  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.21/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.52  # Starting sh5l with 300s (1) cores
% 0.21/0.52  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.52  # Search class: FHUSS-FFMM21-SFFFFFNN
% 0.21/0.52  # partial match(1): FHUSS-FFMM21-MFFFFFNN
% 0.21/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.52  # Preprocessing time       : 0.002 s
% 0.21/0.52  # Presaturation interreduction done
% 0.21/0.52  
% 0.21/0.52  # Proof found!
% 0.21/0.52  # SZS status Theorem
% 0.21/0.52  # SZS output start CNFRefutation
% See solution above
% 0.21/0.52  # Parsed axioms                        : 82
% 0.21/0.52  # Removed by relevancy pruning/SinE    : 8
% 0.21/0.52  # Initial clauses                      : 74
% 0.21/0.52  # Removed in clause preprocessing      : 0
% 0.21/0.52  # Initial clauses in saturation        : 74
% 0.21/0.52  # Processed clauses                    : 166
% 0.21/0.52  # ...of these trivial                  : 0
% 0.21/0.52  # ...subsumed                          : 4
% 0.21/0.52  # ...remaining for further processing  : 162
% 0.21/0.52  # Other redundant clauses eliminated   : 0
% 0.21/0.52  # Clauses deleted for lack of memory   : 0
% 0.21/0.52  # Backward-subsumed                    : 1
% 0.21/0.52  # Backward-rewritten                   : 2
% 0.21/0.52  # Generated clauses                    : 46
% 0.21/0.52  # ...of the previous two non-redundant : 36
% 0.21/0.52  # ...aggressively subsumed             : 0
% 0.21/0.52  # Contextual simplify-reflections      : 0
% 0.21/0.52  # Paramodulations                      : 46
% 0.21/0.52  # Factorizations                       : 0
% 0.21/0.52  # NegExts                              : 0
% 0.21/0.52  # Equation resolutions                 : 0
% 0.21/0.52  # Disequality decompositions           : 0
% 0.21/0.52  # Total rewrite steps                  : 3
% 0.21/0.52  # ...of those cached                   : 1
% 0.21/0.52  # Propositional unsat checks           : 0
% 0.21/0.52  #    Propositional check models        : 0
% 0.21/0.52  #    Propositional check unsatisfiable : 0
% 0.21/0.52  #    Propositional clauses             : 0
% 0.21/0.52  #    Propositional clauses after purity: 0
% 0.21/0.52  #    Propositional unsat core size     : 0
% 0.21/0.52  #    Propositional preprocessing time  : 0.000
% 0.21/0.52  #    Propositional encoding time       : 0.000
% 0.21/0.52  #    Propositional solver time         : 0.000
% 0.21/0.52  #    Success case prop preproc time    : 0.000
% 0.21/0.52  #    Success case prop encoding time   : 0.000
% 0.21/0.52  #    Success case prop solver time     : 0.000
% 0.21/0.52  # Current number of processed clauses  : 85
% 0.21/0.52  #    Positive orientable unit clauses  : 13
% 0.21/0.52  #    Positive unorientable unit clauses: 0
% 0.21/0.52  #    Negative unit clauses             : 46
% 0.21/0.52  #    Non-unit-clauses                  : 26
% 0.21/0.52  # Current number of unprocessed clauses: 18
% 0.21/0.52  # ...number of literals in the above   : 33
% 0.21/0.52  # Current number of archived formulas  : 0
% 0.21/0.52  # Current number of archived clauses   : 77
% 0.21/0.52  # Clause-clause subsumption calls (NU) : 438
% 0.21/0.52  # Rec. Clause-clause subsumption calls : 408
% 0.21/0.52  # Non-unit clause-clause subsumptions  : 5
% 0.21/0.52  # Unit Clause-clause subsumption calls : 121
% 0.21/0.52  # Rewrite failures with RHS unbound    : 0
% 0.21/0.52  # BW rewrite match attempts            : 2
% 0.21/0.52  # BW rewrite match successes           : 2
% 0.21/0.52  # Condensation attempts                : 0
% 0.21/0.52  # Condensation successes               : 0
% 0.21/0.52  # Termbank termtop insertions          : 2864
% 0.21/0.52  # Search garbage collected termcells   : 440
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.011 s
% 0.21/0.52  # System time              : 0.005 s
% 0.21/0.52  # Total time               : 0.016 s
% 0.21/0.52  # Maximum resident set size: 1904 pages
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.014 s
% 0.21/0.52  # System time              : 0.008 s
% 0.21/0.52  # Total time               : 0.021 s
% 0.21/0.53  # Maximum resident set size: 1768 pages
% 0.21/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------