TSTP Solution File: HWV061-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : HWV061-1 : TPTP v8.2.0. Bugfixed v5.5.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 21:36:20 EDT 2024

% Result   : Unsatisfiable 29.07s 8.96s
% Output   : CNFRefutation 29.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   32 (   8 unt;   0 nHn;  32 RR)
%            Number of literals    :   74 (   0 equ;  45 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   3 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   72 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_40292,axiom,
    ( esk16546_3(X1,X2,X3)
    | ~ esk19872_3(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_40292) ).

cnf(i_0_21546,axiom,
    ( esk16605_3(X1,X2,X3)
    | ~ esk16546_3(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_21546) ).

cnf(i_0_49830,axiom,
    ( esk19872_3(X1,X2,X3)
    | ~ esk15882_3(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_49830) ).

cnf(i_0_3222,axiom,
    ( esk15882_3(X1,X2,X3)
    | ~ esk15941_3(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_3222) ).

cnf(i_0_78722,axiom,
    ( esk15941_3(X1,X2,X3)
    | ~ esk27829_3(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_78722) ).

cnf(i_0_24888,axiom,
    ( esk27894_3(X1,X2,X3)
    | ~ esk16605_3(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_24888) ).

cnf(i_0_44121,axiom,
    ( esk1_0
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X3)
    | ~ esk27894_3(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_44121) ).

cnf(i_0_24083,axiom,
    ( esk27829_3(X1,X2,X3)
    | ~ p(X1)
    | ~ esk2_0
    | ~ p(X2)
    | ~ p(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_24083) ).

cnf(i_0_49597,axiom,
    ~ esk1_0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_49597) ).

cnf(rule_true,axiom,
    p(true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_true) ).

cnf(i_0_21820,axiom,
    esk2_0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_21820) ).

cnf(c_0_78734,plain,
    ( esk16546_3(X1,X2,X3)
    | ~ esk19872_3(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[i_0_40292]) ).

cnf(c_0_78735,plain,
    ( esk16605_3(X1,X2,X3)
    | ~ esk16546_3(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[i_0_21546]) ).

cnf(c_0_78736,plain,
    ( esk19872_3(X1,X2,X3)
    | ~ esk15882_3(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[i_0_49830]) ).

cnf(c_0_78737,plain,
    ( esk15882_3(X1,X2,X3)
    | ~ esk15941_3(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[i_0_3222]) ).

cnf(c_0_78738,plain,
    ( esk15941_3(X1,X2,X3)
    | ~ esk27829_3(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[i_0_78722]) ).

cnf(c_0_78739,plain,
    ( esk27894_3(X1,X2,X3)
    | ~ esk16605_3(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[i_0_24888]) ).

cnf(c_0_78740,plain,
    ( esk1_0
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X3)
    | ~ esk27894_3(X2,X3,X1) ),
    inference(fof_simplification,[status(thm)],[i_0_44121]) ).

cnf(c_0_78741,plain,
    ( esk27829_3(X1,X2,X3)
    | ~ p(X1)
    | ~ esk2_0
    | ~ p(X2)
    | ~ p(X3) ),
    inference(fof_simplification,[status(thm)],[i_0_24083]) ).

cnf(c_0_78742,plain,
    ~ esk1_0,
    inference(fof_simplification,[status(thm)],[i_0_49597]) ).

cnf(c_0_78743,plain,
    ( esk16546_3(X1,X2,X3)
    | ~ esk19872_3(X1,X2,X3) ),
    c_0_78734 ).

cnf(c_0_78744,plain,
    ( esk16605_3(X1,X2,X3)
    | ~ esk16546_3(X1,X2,X3) ),
    c_0_78735 ).

cnf(c_0_78745,plain,
    ( esk19872_3(X1,X2,X3)
    | ~ esk15882_3(X1,X2,X3) ),
    c_0_78736 ).

cnf(c_0_78746,plain,
    ( esk15882_3(X1,X2,X3)
    | ~ esk15941_3(X1,X2,X3) ),
    c_0_78737 ).

cnf(c_0_78747,plain,
    ( esk15941_3(X1,X2,X3)
    | ~ esk27829_3(X1,X2,X3) ),
    c_0_78738 ).

cnf(c_0_78748,plain,
    ( esk27894_3(X1,X2,X3)
    | ~ esk16605_3(X1,X2,X3) ),
    c_0_78739 ).

cnf(c_0_78749,plain,
    ( esk1_0
    | ~ p(X1)
    | ~ p(X2)
    | ~ p(X3)
    | ~ esk27894_3(X2,X3,X1) ),
    c_0_78740 ).

cnf(c_0_78750,plain,
    ( esk27829_3(X1,X2,X3)
    | ~ p(X1)
    | ~ esk2_0
    | ~ p(X2)
    | ~ p(X3) ),
    c_0_78741 ).

cnf(c_0_78751,plain,
    ~ esk1_0,
    c_0_78742 ).

cnf(c_0_78752,axiom,
    p(true),
    rule_true ).

cnf(c_0_78753,axiom,
    esk2_0,
    i_0_21820 ).

cnf(c_0_78754,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_78743,c_0_78744,c_0_78745,c_0_78746,c_0_78747,c_0_78748,c_0_78749,c_0_78750,c_0_78751,c_0_78752,c_0_78753]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : HWV061-1 : TPTP v8.2.0. Bugfixed v5.5.1.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.15/0.38  % Computer : n024.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Sun May 19 10:40:23 EDT 2024
% 0.15/0.38  % CPUTime    : 
% 0.24/0.50  Running first-order theorem proving
% 0.24/0.50  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.07/8.96  # Version: 3.1.0
% 29.07/8.96  # Preprocessing class: FMLLLLSSSSSNFFN.
% 29.07/8.96  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 29.07/8.96  # Starting new_bool_3 with 897s (3) cores
% 29.07/8.96  # Starting new_bool_1 with 897s (3) cores
% 29.07/8.96  # Starting sh5l with 299s (1) cores
% 29.07/8.96  # Starting SAT001_MinMin_p005000_rr_RG with 299s (1) cores
% 29.07/8.96  # SAT001_MinMin_p005000_rr_RG with pid 7551 completed with status 0
% 29.07/8.96  # Result found by SAT001_MinMin_p005000_rr_RG
% 29.07/8.96  # Preprocessing class: FMLLLLSSSSSNFFN.
% 29.07/8.96  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 29.07/8.96  # Starting new_bool_3 with 897s (3) cores
% 29.07/8.96  # Starting new_bool_1 with 897s (3) cores
% 29.07/8.96  # Starting sh5l with 299s (1) cores
% 29.07/8.96  # Starting SAT001_MinMin_p005000_rr_RG with 299s (1) cores
% 29.07/8.96  # No SInE strategy applied
% 29.07/8.96  # Search class: FGHSM-SMLF00-SFFFFFNN
% 29.07/8.96  # Scheduled 5 strats onto 1 cores with 296 seconds (296 total)
% 29.07/8.96  # Starting SAT001_MinMin_p005000_rr_RG with 127s (1) cores
% 29.07/8.96  # SAT001_MinMin_p005000_rr_RG with pid 7590 completed with status 0
% 29.07/8.96  # Result found by SAT001_MinMin_p005000_rr_RG
% 29.07/8.96  # Preprocessing class: FMLLLLSSSSSNFFN.
% 29.07/8.96  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 29.07/8.96  # Starting new_bool_3 with 897s (3) cores
% 29.07/8.96  # Starting new_bool_1 with 897s (3) cores
% 29.07/8.96  # Starting sh5l with 299s (1) cores
% 29.07/8.96  # Starting SAT001_MinMin_p005000_rr_RG with 299s (1) cores
% 29.07/8.96  # No SInE strategy applied
% 29.07/8.96  # Search class: FGHSM-SMLF00-SFFFFFNN
% 29.07/8.96  # Scheduled 5 strats onto 1 cores with 296 seconds (296 total)
% 29.07/8.96  # Starting SAT001_MinMin_p005000_rr_RG with 127s (1) cores
% 29.07/8.96  # Preprocessing time       : 1.505 s
% 29.07/8.96  # SatCheck found unsatisfiable ground set
% 29.07/8.96  # Presaturation interreduction done
% 29.07/8.96  
% 29.07/8.96  # Proof found!
% 29.07/8.96  # SZS status Unsatisfiable
% 29.07/8.96  # SZS output start CNFRefutation
% See solution above
% 29.07/8.96  # Parsed axioms                        : 89007
% 29.07/8.96  # Removed by relevancy pruning/SinE    : 0
% 29.07/8.96  # Initial clauses                      : 89007
% 29.07/8.96  # Removed in clause preprocessing      : 0
% 29.07/8.96  # Initial clauses in saturation        : 89007
% 29.07/8.96  # Processed clauses                    : 5350
% 29.07/8.96  # ...of these trivial                  : 90
% 29.07/8.96  # ...subsumed                          : 260
% 29.07/8.96  # ...remaining for further processing  : 5000
% 29.07/8.96  # Other redundant clauses eliminated   : 0
% 29.07/8.96  # Clauses deleted for lack of memory   : 0
% 29.07/8.96  # Backward-subsumed                    : 10
% 29.07/8.96  # Backward-rewritten                   : 0
% 29.07/8.96  # Generated clauses                    : 0
% 29.07/8.96  # ...of the previous two non-redundant : 0
% 29.07/8.96  # ...aggressively subsumed             : 0
% 29.07/8.96  # Contextual simplify-reflections      : 0
% 29.07/8.96  # Paramodulations                      : 0
% 29.07/8.96  # Factorizations                       : 0
% 29.07/8.96  # NegExts                              : 0
% 29.07/8.96  # Equation resolutions                 : 0
% 29.07/8.96  # Disequality decompositions           : 0
% 29.07/8.96  # Total rewrite steps                  : 90
% 29.07/8.96  # ...of those cached                   : 85
% 29.07/8.96  # Propositional unsat checks           : 1
% 29.07/8.96  #    Propositional check models        : 0
% 29.07/8.96  #    Propositional check unsatisfiable : 1
% 29.07/8.96  #    Propositional clauses             : 88647
% 29.07/8.96  #    Propositional clauses after purity: 88629
% 29.07/8.96  #    Propositional unsat core size     : 11
% 29.07/8.96  #    Propositional preprocessing time  : 0.000
% 29.07/8.96  #    Propositional encoding time       : 0.211
% 29.07/8.96  #    Propositional solver time         : 0.052
% 29.07/8.96  #    Success case prop preproc time    : 0.000
% 29.07/8.96  #    Success case prop encoding time   : 0.211
% 29.07/8.96  #    Success case prop solver time     : 0.052
% 29.07/8.96  # Current number of processed clauses  : 4990
% 29.07/8.96  #    Positive orientable unit clauses  : 53
% 29.07/8.96  #    Positive unorientable unit clauses: 0
% 29.07/8.96  #    Negative unit clauses             : 222
% 29.07/8.96  #    Non-unit-clauses                  : 4715
% 29.07/8.96  # Current number of unprocessed clauses: 83657
% 29.07/8.96  # ...number of literals in the above   : 315457
% 29.07/8.96  # Current number of archived formulas  : 0
% 29.07/8.96  # Current number of archived clauses   : 10
% 29.07/8.96  # Clause-clause subsumption calls (NU) : 3504148
% 29.07/8.96  # Rec. Clause-clause subsumption calls : 2826957
% 29.07/8.96  # Non-unit clause-clause subsumptions  : 0
% 29.07/8.96  # Unit Clause-clause subsumption calls : 338769
% 29.07/8.96  # Rewrite failures with RHS unbound    : 0
% 29.07/8.96  # BW rewrite match attempts            : 0
% 29.07/8.96  # BW rewrite match successes           : 0
% 29.07/8.96  # Condensation attempts                : 0
% 29.07/8.96  # Condensation successes               : 0
% 29.07/8.96  # Termbank termtop insertions          : 2916463
% 29.07/8.96  # Search garbage collected termcells   : 200325
% 29.07/8.96  
% 29.07/8.96  # -------------------------------------------------
% 29.07/8.96  # User time                : 5.947 s
% 29.07/8.96  # System time              : 0.427 s
% 29.07/8.96  # Total time               : 6.374 s
% 29.07/8.96  # Maximum resident set size: 190652 pages
% 29.07/8.96  
% 29.07/8.96  # -------------------------------------------------
% 29.07/8.96  # User time                : 7.877 s
% 29.07/8.96  # System time              : 0.496 s
% 29.07/8.96  # Total time               : 8.373 s
% 29.07/8.96  # Maximum resident set size: 66880 pages
% 29.07/8.96  % E---3.1 exiting
% 29.07/8.96  % E exiting
%------------------------------------------------------------------------------