TSTP Solution File: ITP190^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP190^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 : Mon May 20 22:16:44 EDT 2024

% Result   : Theorem 1.56s 0.69s
% Output   : CNFRefutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   50 (  24 unt;  22 typ;   0 def)
%            Number of atoms       :   32 (  15 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  281 (   7   ~;   3   |;   0   &; 270   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :   46 (   0   ^  44   !;   2   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    pi: $tType ).

thf(decl_sort2,type,
    name: $tType ).

thf(decl_sort3,type,
    list_P227219501e_name: $tType ).

thf(decl_sort4,type,
    produc367475239e_name: $tType ).

thf(decl_sort5,type,
    late_freeRes: $tType ).

thf(decl_sort6,type,
    late_residual: $tType ).

thf(decl_33,type,
    late_OutputR: name > name > late_freeRes ).

thf(decl_36,type,
    late_FreeR: late_freeRes > pi > late_residual ).

thf(decl_40,type,
    late_transitions: pi > late_residual > $o ).

thf(decl_48,type,
    cons_P1213805021e_name: produc367475239e_name > list_P227219501e_name > list_P227219501e_name ).

thf(decl_50,type,
    nil_Pr743626285e_name: list_P227219501e_name ).

thf(decl_90,type,
    perm_name_pi: list_P227219501e_name > pi > pi ).

thf(decl_94,type,
    perm_n414416632sidual: list_P227219501e_name > late_residual > late_residual ).

thf(decl_123,type,
    produc1570949143e_name: name > name > produc367475239e_name ).

thf(decl_151,type,
    q: pi ).

thf(decl_153,type,
    q_a: pi ).

thf(decl_156,type,
    aa: name ).

thf(decl_157,type,
    b: name ).

thf(decl_158,type,
    x: name ).

thf(decl_160,type,
    z: name ).

thf(decl_281,type,
    esk116_1: produc367475239e_name > name ).

thf(decl_282,type,
    esk117_1: produc367475239e_name > name ).

thf(conj_0,conjecture,
    late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(fact_14_perm__swap_I1_J,axiom,
    ! [X1: name,X2: name,X7: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1 @ X2 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1 @ X2 ) @ nil_Pr743626285e_name ) @ X7 ) )
      = X7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_perm__swap_I1_J) ).

thf(fact_223_surj__pair,axiom,
    ! [X339: produc367475239e_name] :
    ? [X272: name,X247: name] :
      ( X339
      = ( produc1570949143e_name @ X272 @ X247 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_223_surj__pair) ).

thf(fact_24_name__swap,axiom,
    ! [X1: name,X2: name,X15: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1 @ X2 ) @ nil_Pr743626285e_name ) @ X15 )
      = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X2 @ X1 ) @ nil_Pr743626285e_name ) @ X15 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_name__swap) ).

thf(fact_41_eqvt,axiom,
    ! [X28: pi,X29: late_residual,X30: list_P227219501e_name] :
      ( ( late_transitions @ X28 @ X29 )
     => ( late_transitions @ ( perm_name_pi @ X30 @ X28 ) @ ( perm_n414416632sidual @ X30 @ X29 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_eqvt) ).

thf(fact_40_perm__swap_I2_J,axiom,
    ! [X1: name,X2: name,X27: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1 @ X2 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X2 @ X1 ) @ nil_Pr743626285e_name ) @ X27 ) )
      = X27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_perm__swap_I2_J) ).

thf(fact_6_cOpen_Ohyps_I1_J,axiom,
    late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_cOpen_Ohyps_I1_J) ).

thf(fact_0__092_060open_062a_A_061_Ab_092_060close_062,axiom,
    aa = b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062a_A_061_Ab_092_060close_062) ).

thf(c_0_8,negated_conjecture,
    ~ ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

thf(c_0_9,plain,
    ! [X1912: name,X1913: name,X1914: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1912 @ X1913 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1912 @ X1913 ) @ nil_Pr743626285e_name ) @ X1914 ) )
      = X1914 ),
    inference(variable_rename,[status(thm)],[fact_14_perm__swap_I1_J]) ).

thf(c_0_10,plain,
    ! [X2598: produc367475239e_name] :
      ( X2598
      = ( produc1570949143e_name @ ( esk116_1 @ X2598 ) @ ( esk117_1 @ X2598 ) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_223_surj__pair])]) ).

thf(c_0_11,negated_conjecture,
    ~ ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_8]) ).

thf(c_0_12,plain,
    ! [X1937: name,X1938: name,X1939: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1937 @ X1938 ) @ nil_Pr743626285e_name ) @ X1939 )
      = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1938 @ X1937 ) @ nil_Pr743626285e_name ) @ X1939 ) ),
    inference(variable_rename,[status(thm)],[fact_24_name__swap]) ).

thf(c_0_13,plain,
    ! [X1975: pi,X1976: late_residual,X1977: list_P227219501e_name] :
      ( ~ ( late_transitions @ X1975 @ X1976 )
      | ( late_transitions @ ( perm_name_pi @ X1977 @ X1975 ) @ ( perm_n414416632sidual @ X1977 @ X1976 ) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_41_eqvt])])]) ).

thf(c_0_14,plain,
    ! [X1: name,X2: name,X7: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1 @ X2 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1 @ X2 ) @ nil_Pr743626285e_name ) @ X7 ) )
      = X7 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_15,plain,
    ! [X179: produc367475239e_name] :
      ( X179
      = ( produc1570949143e_name @ ( esk116_1 @ X179 ) @ ( esk117_1 @ X179 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_16,negated_conjecture,
    ~ ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_17,plain,
    ! [X1: name,X2: name,X7: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1 @ X2 ) @ nil_Pr743626285e_name ) @ X7 )
      = ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X2 @ X1 ) @ nil_Pr743626285e_name ) @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

thf(c_0_18,plain,
    ! [X7: pi,X30: list_P227219501e_name,X29: late_residual] :
      ( ( late_transitions @ ( perm_name_pi @ X30 @ X7 ) @ ( perm_n414416632sidual @ X30 @ X29 ) )
      | ~ ( late_transitions @ X7 @ X29 ) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

thf(c_0_19,plain,
    ! [X179: produc367475239e_name,X7: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ X179 @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ X179 @ nil_Pr743626285e_name ) @ X7 ) )
      = X7 ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

thf(c_0_20,plain,
    ! [X1972: name,X1973: name,X1974: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1972 @ X1973 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1973 @ X1972 ) @ nil_Pr743626285e_name ) @ X1974 ) )
      = X1974 ),
    inference(variable_rename,[status(thm)],[fact_40_perm__swap_I2_J]) ).

thf(c_0_21,plain,
    late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ),
    inference(split_conjunct,[status(thm)],[fact_6_cOpen_Ohyps_I1_J]) ).

thf(c_0_22,plain,
    aa = b,
    inference(split_conjunct,[status(thm)],[fact_0__092_060open_062a_A_061_Ab_092_060close_062]) ).

thf(c_0_23,negated_conjecture,
    ~ ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ x @ z ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) ),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

thf(c_0_24,plain,
    ! [X7: pi,X179: produc367475239e_name,X29: late_residual] :
      ( ( late_transitions @ X7 @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ X179 @ nil_Pr743626285e_name ) @ X29 ) )
      | ~ ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ X179 @ nil_Pr743626285e_name ) @ X7 ) @ X29 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

thf(c_0_25,plain,
    ! [X1: name,X2: name,X7: pi] :
      ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X1 @ X2 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X2 @ X1 ) @ nil_Pr743626285e_name ) @ X7 ) )
      = X7 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

thf(c_0_26,plain,
    late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ),
    inference(rw,[status(thm)],[c_0_21,c_0_22]) ).

thf(c_0_27,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ITP190^1 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n020.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    : 300
% 0.13/0.34  % DateTime   : Sat May 18 16:33:08 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running higher-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.56/0.69  # Version: 3.1.0-ho
% 1.56/0.69  # Preprocessing class: HSLMSMSMSSSNHFA.
% 1.56/0.69  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.56/0.69  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 1.56/0.69  # Starting new_ho_10 with 300s (1) cores
% 1.56/0.69  # Starting new_bool_6 with 300s (1) cores
% 1.56/0.69  # Starting lpo8_s with 300s (1) cores
% 1.56/0.69  # new_ho_10_cnf2 with pid 12596 completed with status 0
% 1.56/0.69  # Result found by new_ho_10_cnf2
% 1.56/0.69  # Preprocessing class: HSLMSMSMSSSNHFA.
% 1.56/0.69  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.56/0.69  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 1.56/0.69  # No SInE strategy applied
% 1.56/0.69  # Search class: HGHSM-FSLM31-MHFFFFBN
% 1.56/0.69  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.56/0.69  # Starting new_ho_11 with 811s (1) cores
% 1.56/0.69  # Starting new_ho_10_cnf2 with 151s (1) cores
% 1.56/0.69  # Starting almost_fo_3 with 136s (1) cores
% 1.56/0.69  # Starting ehoh_best4_fo with 136s (1) cores
% 1.56/0.69  # Starting lpo4_lambdas_fix with 136s (1) cores
% 1.56/0.69  # almost_fo_3 with pid 12604 completed with status 0
% 1.56/0.69  # Result found by almost_fo_3
% 1.56/0.69  # Preprocessing class: HSLMSMSMSSSNHFA.
% 1.56/0.69  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.56/0.69  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 1.56/0.69  # No SInE strategy applied
% 1.56/0.69  # Search class: HGHSM-FSLM31-MHFFFFBN
% 1.56/0.69  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.56/0.69  # Starting new_ho_11 with 811s (1) cores
% 1.56/0.69  # Starting new_ho_10_cnf2 with 151s (1) cores
% 1.56/0.69  # Starting almost_fo_3 with 136s (1) cores
% 1.56/0.69  # Preprocessing time       : 0.018 s
% 1.56/0.69  # Presaturation interreduction done
% 1.56/0.69  
% 1.56/0.69  # Proof found!
% 1.56/0.69  # SZS status Theorem
% 1.56/0.69  # SZS output start CNFRefutation
% See solution above
% 1.56/0.69  # Parsed axioms                        : 540
% 1.56/0.69  # Removed by relevancy pruning/SinE    : 0
% 1.56/0.69  # Initial clauses                      : 972
% 1.56/0.69  # Removed in clause preprocessing      : 234
% 1.56/0.69  # Initial clauses in saturation        : 738
% 1.56/0.69  # Processed clauses                    : 1138
% 1.56/0.69  # ...of these trivial                  : 47
% 1.56/0.69  # ...subsumed                          : 86
% 1.56/0.69  # ...remaining for further processing  : 1005
% 1.56/0.69  # Other redundant clauses eliminated   : 54
% 1.56/0.69  # Clauses deleted for lack of memory   : 0
% 1.56/0.69  # Backward-subsumed                    : 10
% 1.56/0.69  # Backward-rewritten                   : 18
% 1.56/0.69  # Generated clauses                    : 575
% 1.56/0.69  # ...of the previous two non-redundant : 341
% 1.56/0.69  # ...aggressively subsumed             : 0
% 1.56/0.69  # Contextual simplify-reflections      : 22
% 1.56/0.69  # Paramodulations                      : 415
% 1.56/0.69  # Factorizations                       : 0
% 1.56/0.69  # NegExts                              : 0
% 1.56/0.69  # Equation resolutions                 : 76
% 1.56/0.69  # Disequality decompositions           : 0
% 1.56/0.69  # Total rewrite steps                  : 247
% 1.56/0.69  # ...of those cached                   : 102
% 1.56/0.69  # Propositional unsat checks           : 0
% 1.56/0.69  #    Propositional check models        : 0
% 1.56/0.69  #    Propositional check unsatisfiable : 0
% 1.56/0.69  #    Propositional clauses             : 0
% 1.56/0.69  #    Propositional clauses after purity: 0
% 1.56/0.69  #    Propositional unsat core size     : 0
% 1.56/0.69  #    Propositional preprocessing time  : 0.000
% 1.56/0.69  #    Propositional encoding time       : 0.000
% 1.56/0.69  #    Propositional solver time         : 0.000
% 1.56/0.69  #    Success case prop preproc time    : 0.000
% 1.56/0.69  #    Success case prop encoding time   : 0.000
% 1.56/0.69  #    Success case prop solver time     : 0.000
% 1.56/0.69  # Current number of processed clauses  : 318
% 1.56/0.69  #    Positive orientable unit clauses  : 131
% 1.56/0.69  #    Positive unorientable unit clauses: 0
% 1.56/0.69  #    Negative unit clauses             : 50
% 1.56/0.69  #    Non-unit-clauses                  : 137
% 1.56/0.69  # Current number of unprocessed clauses: 578
% 1.56/0.69  # ...number of literals in the above   : 1620
% 1.56/0.69  # Current number of archived formulas  : 0
% 1.56/0.69  # Current number of archived clauses   : 680
% 1.56/0.69  # Clause-clause subsumption calls (NU) : 68761
% 1.56/0.69  # Rec. Clause-clause subsumption calls : 40106
% 1.56/0.69  # Non-unit clause-clause subsumptions  : 97
% 1.56/0.69  # Unit Clause-clause subsumption calls : 3365
% 1.56/0.69  # Rewrite failures with RHS unbound    : 0
% 1.56/0.69  # BW rewrite match attempts            : 115
% 1.56/0.69  # BW rewrite match successes           : 72
% 1.56/0.69  # Condensation attempts                : 0
% 1.56/0.69  # Condensation successes               : 0
% 1.56/0.69  # Termbank termtop insertions          : 74918
% 1.56/0.69  # Search garbage collected termcells   : 14990
% 1.56/0.69  
% 1.56/0.69  # -------------------------------------------------
% 1.56/0.69  # User time                : 0.163 s
% 1.56/0.69  # System time              : 0.020 s
% 1.56/0.69  # Total time               : 0.183 s
% 1.56/0.69  # Maximum resident set size: 6264 pages
% 1.56/0.69  
% 1.56/0.69  # -------------------------------------------------
% 1.56/0.69  # User time                : 0.630 s
% 1.56/0.69  # System time              : 0.055 s
% 1.56/0.69  # Total time               : 0.686 s
% 1.56/0.69  # Maximum resident set size: 2860 pages
% 1.56/0.69  % E---3.1 exiting
% 1.56/0.69  % E exiting
%------------------------------------------------------------------------------