TSTP Solution File: SWW950+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWW950+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:12:01 EDT 2023

% Result   : Theorem 0.17s 0.45s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   35 (   8 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   69 (  31   ~;  29   |;   2   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   40 (  10 sgn;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax74,axiom,
    ! [X30,X31] :
      ( ( pred_attacker(tuple_T_in_3(X30,constr_h(constr_xor(X30,constr_xor(name_k0x30,name_ki)))))
        & pred_attacker(tuple_T_in_1(X31)) )
     => pred_attacker(tuple_T_out_4(name_objective)) ),
    file('/export/starexec/sandbox/tmp/tmp.SUIQ0cTc0o/E---3.1_14040.p',ax74) ).

fof(ax58,axiom,
    ! [X15,X16] :
      ( ( pred_attacker(X15)
        & pred_attacker(X16) )
     => pred_attacker(tuple_T_in_3(X15,X16)) ),
    file('/export/starexec/sandbox/tmp/tmp.SUIQ0cTc0o/E---3.1_14040.p',ax58) ).

fof(ax57,axiom,
    ! [X14] :
      ( pred_attacker(tuple_T_out_2(X14))
     => pred_attacker(X14) ),
    file('/export/starexec/sandbox/tmp/tmp.SUIQ0cTc0o/E---3.1_14040.p',ax57) ).

fof(ax73,axiom,
    ! [X29] :
      ( pred_attacker(tuple_T_in_1(X29))
     => pred_attacker(tuple_T_out_2(constr_h(constr_xor(X29,constr_xor(name_k0x30,name_ki))))) ),
    file('/export/starexec/sandbox/tmp/tmp.SUIQ0cTc0o/E---3.1_14040.p',ax73) ).

fof(ax62,axiom,
    ! [X22] :
      ( pred_attacker(tuple_T_in_1(X22))
     => pred_attacker(X22) ),
    file('/export/starexec/sandbox/tmp/tmp.SUIQ0cTc0o/E---3.1_14040.p',ax62) ).

fof(ax61,axiom,
    ! [X21] :
      ( pred_attacker(X21)
     => pred_attacker(tuple_T_in_1(X21)) ),
    file('/export/starexec/sandbox/tmp/tmp.SUIQ0cTc0o/E---3.1_14040.p',ax61) ).

fof(ax72,axiom,
    ! [X28] : pred_attacker(name_new0x2Dname(X28)),
    file('/export/starexec/sandbox/tmp/tmp.SUIQ0cTc0o/E---3.1_14040.p',ax72) ).

fof(ax55,axiom,
    ! [X12] :
      ( pred_attacker(tuple_T_out_4(X12))
     => pred_attacker(X12) ),
    file('/export/starexec/sandbox/tmp/tmp.SUIQ0cTc0o/E---3.1_14040.p',ax55) ).

fof(co0,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox/tmp/tmp.SUIQ0cTc0o/E---3.1_14040.p',co0) ).

fof(c_0_9,plain,
    ! [X61,X62] :
      ( ~ pred_attacker(tuple_T_in_3(X61,constr_h(constr_xor(X61,constr_xor(name_k0x30,name_ki)))))
      | ~ pred_attacker(tuple_T_in_1(X62))
      | pred_attacker(tuple_T_out_4(name_objective)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax74])]) ).

fof(c_0_10,plain,
    ! [X46,X47] :
      ( ~ pred_attacker(X46)
      | ~ pred_attacker(X47)
      | pred_attacker(tuple_T_in_3(X46,X47)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])]) ).

fof(c_0_11,plain,
    ! [X45] :
      ( ~ pred_attacker(tuple_T_out_2(X45))
      | pred_attacker(X45) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).

fof(c_0_12,plain,
    ! [X60] :
      ( ~ pred_attacker(tuple_T_in_1(X60))
      | pred_attacker(tuple_T_out_2(constr_h(constr_xor(X60,constr_xor(name_k0x30,name_ki))))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax73])]) ).

cnf(c_0_13,plain,
    ( pred_attacker(tuple_T_out_4(name_objective))
    | ~ pred_attacker(tuple_T_in_3(X1,constr_h(constr_xor(X1,constr_xor(name_k0x30,name_ki)))))
    | ~ pred_attacker(tuple_T_in_1(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ( pred_attacker(tuple_T_in_3(X1,X2))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_T_out_2(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    ( pred_attacker(tuple_T_out_2(constr_h(constr_xor(X1,constr_xor(name_k0x30,name_ki)))))
    | ~ pred_attacker(tuple_T_in_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_17,plain,
    ! [X53] :
      ( ~ pred_attacker(tuple_T_in_1(X53))
      | pred_attacker(X53) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax62])]) ).

cnf(c_0_18,plain,
    ( pred_attacker(tuple_T_out_4(name_objective))
    | ~ pred_attacker(constr_h(constr_xor(X1,constr_xor(name_k0x30,name_ki))))
    | ~ pred_attacker(tuple_T_in_1(X2))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,plain,
    ( pred_attacker(constr_h(constr_xor(X1,constr_xor(name_k0x30,name_ki))))
    | ~ pred_attacker(tuple_T_in_1(X1)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,plain,
    ( pred_attacker(X1)
    | ~ pred_attacker(tuple_T_in_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_21,plain,
    ! [X52] :
      ( ~ pred_attacker(X52)
      | pred_attacker(tuple_T_in_1(X52)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax61])]) ).

cnf(c_0_22,plain,
    ( pred_attacker(tuple_T_out_4(name_objective))
    | ~ pred_attacker(tuple_T_in_1(X1))
    | ~ pred_attacker(tuple_T_in_1(X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_23,plain,
    ( pred_attacker(tuple_T_in_1(X1))
    | ~ pred_attacker(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_24,plain,
    ( pred_attacker(tuple_T_out_4(name_objective))
    | ~ pred_attacker(tuple_T_in_1(X1))
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

fof(c_0_25,plain,
    ! [X59] : pred_attacker(name_new0x2Dname(X59)),
    inference(variable_rename,[status(thm)],[ax72]) ).

cnf(c_0_26,plain,
    ( pred_attacker(tuple_T_out_4(name_objective))
    | ~ pred_attacker(X1)
    | ~ pred_attacker(X2) ),
    inference(spm,[status(thm)],[c_0_24,c_0_23]) ).

cnf(c_0_27,plain,
    pred_attacker(name_new0x2Dname(X1)),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_28,plain,
    ! [X43] :
      ( ~ pred_attacker(tuple_T_out_4(X43))
      | pred_attacker(X43) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).

cnf(c_0_29,plain,
    ( pred_attacker(tuple_T_out_4(name_objective))
    | ~ pred_attacker(X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

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(X1)
    | ~ pred_attacker(tuple_T_out_4(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_32,plain,
    pred_attacker(tuple_T_out_4(name_objective)),
    inference(spm,[status(thm)],[c_0_29,c_0_27]) ).

cnf(c_0_33,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_34,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SWW950+1 : TPTP v8.1.2. Released v7.4.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n004.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 22:07:00 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order model finding
% 0.17/0.43  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.SUIQ0cTc0o/E---3.1_14040.p
% 0.17/0.45  # Version: 3.1pre001
% 0.17/0.45  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45  # Starting sh5l with 300s (1) cores
% 0.17/0.45  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 14137 completed with status 0
% 0.17/0.45  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.17/0.45  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.45  # No SInE strategy applied
% 0.17/0.45  # Search class: FHUSM-FFMM21-MFFFFFNN
% 0.17/0.45  # partial match(1): FHUSM-FFMF21-MFFFFFNN
% 0.17/0.45  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.45  # Starting G-E--_100_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y with 797s (1) cores
% 0.17/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.17/0.45  # Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 0.17/0.45  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.17/0.45  # Starting G-E--_200_C18_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 0.17/0.45  # G-E--_200_C18_F1_AE_CS_SP_PI_S0Y with pid 14148 completed with status 0
% 0.17/0.45  # Result found by G-E--_200_C18_F1_AE_CS_SP_PI_S0Y
% 0.17/0.45  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.17/0.45  # No SInE strategy applied
% 0.17/0.45  # Search class: FHUSM-FFMM21-MFFFFFNN
% 0.17/0.45  # partial match(1): FHUSM-FFMF21-MFFFFFNN
% 0.17/0.45  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.45  # Starting G-E--_100_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y with 797s (1) cores
% 0.17/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.17/0.45  # Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 0.17/0.45  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.17/0.45  # Starting G-E--_200_C18_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 0.17/0.45  # Preprocessing time       : 0.002 s
% 0.17/0.45  
% 0.17/0.45  # Proof found!
% 0.17/0.45  # SZS status Theorem
% 0.17/0.45  # SZS output start CNFRefutation
% See solution above
% 0.17/0.45  # Parsed axioms                        : 76
% 0.17/0.45  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.45  # Initial clauses                      : 76
% 0.17/0.45  # Removed in clause preprocessing      : 0
% 0.17/0.45  # Initial clauses in saturation        : 76
% 0.17/0.45  # Processed clauses                    : 130
% 0.17/0.45  # ...of these trivial                  : 3
% 0.17/0.45  # ...subsumed                          : 17
% 0.17/0.45  # ...remaining for further processing  : 110
% 0.17/0.45  # Other redundant clauses eliminated   : 0
% 0.17/0.45  # Clauses deleted for lack of memory   : 0
% 0.17/0.45  # Backward-subsumed                    : 20
% 0.17/0.45  # Backward-rewritten                   : 1
% 0.17/0.45  # Generated clauses                    : 211
% 0.17/0.45  # ...of the previous two non-redundant : 173
% 0.17/0.45  # ...aggressively subsumed             : 0
% 0.17/0.45  # Contextual simplify-reflections      : 3
% 0.17/0.45  # Paramodulations                      : 211
% 0.17/0.45  # Factorizations                       : 0
% 0.17/0.45  # NegExts                              : 0
% 0.17/0.45  # Equation resolutions                 : 0
% 0.17/0.45  # Total rewrite steps                  : 53
% 0.17/0.45  # Propositional unsat checks           : 0
% 0.17/0.45  #    Propositional check models        : 0
% 0.17/0.45  #    Propositional check unsatisfiable : 0
% 0.17/0.45  #    Propositional clauses             : 0
% 0.17/0.45  #    Propositional clauses after purity: 0
% 0.17/0.45  #    Propositional unsat core size     : 0
% 0.17/0.45  #    Propositional preprocessing time  : 0.000
% 0.17/0.45  #    Propositional encoding time       : 0.000
% 0.17/0.45  #    Propositional solver time         : 0.000
% 0.17/0.45  #    Success case prop preproc time    : 0.000
% 0.17/0.45  #    Success case prop encoding time   : 0.000
% 0.17/0.45  #    Success case prop solver time     : 0.000
% 0.17/0.45  # Current number of processed clauses  : 89
% 0.17/0.45  #    Positive orientable unit clauses  : 18
% 0.17/0.45  #    Positive unorientable unit clauses: 1
% 0.17/0.45  #    Negative unit clauses             : 49
% 0.17/0.45  #    Non-unit-clauses                  : 21
% 0.17/0.45  # Current number of unprocessed clauses: 82
% 0.17/0.45  # ...number of literals in the above   : 189
% 0.17/0.45  # Current number of archived formulas  : 0
% 0.17/0.45  # Current number of archived clauses   : 21
% 0.17/0.45  # Clause-clause subsumption calls (NU) : 876
% 0.17/0.45  # Rec. Clause-clause subsumption calls : 810
% 0.17/0.45  # Non-unit clause-clause subsumptions  : 31
% 0.17/0.45  # Unit Clause-clause subsumption calls : 116
% 0.17/0.45  # Rewrite failures with RHS unbound    : 0
% 0.17/0.45  # BW rewrite match attempts            : 11
% 0.17/0.45  # BW rewrite match successes           : 7
% 0.17/0.45  # Condensation attempts                : 0
% 0.17/0.45  # Condensation successes               : 0
% 0.17/0.45  # Termbank termtop insertions          : 3821
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.009 s
% 0.17/0.45  # System time              : 0.002 s
% 0.17/0.45  # Total time               : 0.011 s
% 0.17/0.45  # Maximum resident set size: 1852 pages
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.037 s
% 0.17/0.45  # System time              : 0.012 s
% 0.17/0.45  # Total time               : 0.050 s
% 0.17/0.45  # Maximum resident set size: 1740 pages
% 0.17/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------