TSTP Solution File: PUZ004-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : PUZ004-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 : Tue May 21 02:25:23 EDT 2024

% Result   : Unsatisfiable 0.18s 0.47s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   39 (  13 unt;   2 nHn;  39 RR)
%            Number of literals    :   65 (   0 equ;  35 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   11 (  10 usr;  11 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(brown_starts_with_sir,axiom,
    ( begins_with_dear_sir
    | ~ by_brown ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',brown_starts_with_sir) ).

cnf(no_dear_sirs_in_third_person,axiom,
    ( ~ begins_with_dear_sir
    | ~ in_third_person ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_dear_sirs_in_third_person) ).

cnf(letter_by_brown,hypothesis,
    by_brown,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',letter_by_brown) ).

cnf(black_ink_in_third_person,axiom,
    ( in_third_person
    | ~ in_black_ink ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',black_ink_in_third_person) ).

cnf(not_filed_if_read,axiom,
    ( ~ can_be_read
    | ~ filed ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_filed_if_read) ).

cnf(filed_if_on_blue_paper,axiom,
    ( filed
    | ~ on_blue_paper ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filed_if_on_blue_paper) ).

cnf(prove_it_cannot_be_read,negated_conjecture,
    can_be_read,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_it_cannot_be_read) ).

cnf(on_one_sheet_if_crossed,axiom,
    ( on_one_sheet
    | ~ crossed ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',on_one_sheet_if_crossed) ).

cnf(not_crossed_in_black_ink,axiom,
    ( crossed
    | in_black_ink ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_crossed_in_black_ink) ).

cnf(dated_on_blue_paper,axiom,
    ( on_blue_paper
    | ~ dated ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dated_on_blue_paper) ).

cnf(dated_if_on_one_sheet,axiom,
    ( dated
    | ~ on_one_sheet ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dated_if_on_one_sheet) ).

cnf(c_0_11,plain,
    ( begins_with_dear_sir
    | ~ by_brown ),
    inference(fof_simplification,[status(thm)],[brown_starts_with_sir]) ).

cnf(c_0_12,plain,
    ( ~ begins_with_dear_sir
    | ~ in_third_person ),
    inference(fof_simplification,[status(thm)],[no_dear_sirs_in_third_person]) ).

cnf(c_0_13,plain,
    ( begins_with_dear_sir
    | ~ by_brown ),
    c_0_11 ).

cnf(c_0_14,hypothesis,
    by_brown,
    letter_by_brown ).

cnf(c_0_15,plain,
    ( in_third_person
    | ~ in_black_ink ),
    inference(fof_simplification,[status(thm)],[black_ink_in_third_person]) ).

cnf(c_0_16,plain,
    ( ~ begins_with_dear_sir
    | ~ in_third_person ),
    c_0_12 ).

cnf(c_0_17,plain,
    begins_with_dear_sir,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).

cnf(c_0_18,plain,
    ( ~ can_be_read
    | ~ filed ),
    inference(fof_simplification,[status(thm)],[not_filed_if_read]) ).

cnf(c_0_19,plain,
    ( in_third_person
    | ~ in_black_ink ),
    c_0_15 ).

cnf(c_0_20,plain,
    ~ in_third_person,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).

cnf(c_0_21,plain,
    ( filed
    | ~ on_blue_paper ),
    inference(fof_simplification,[status(thm)],[filed_if_on_blue_paper]) ).

cnf(c_0_22,plain,
    ( ~ can_be_read
    | ~ filed ),
    c_0_18 ).

cnf(c_0_23,negated_conjecture,
    can_be_read,
    prove_it_cannot_be_read ).

cnf(c_0_24,plain,
    ( on_one_sheet
    | ~ crossed ),
    inference(fof_simplification,[status(thm)],[on_one_sheet_if_crossed]) ).

cnf(c_0_25,axiom,
    ( crossed
    | in_black_ink ),
    not_crossed_in_black_ink ).

cnf(c_0_26,plain,
    ~ in_black_ink,
    inference(sr,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_27,plain,
    ( on_blue_paper
    | ~ dated ),
    inference(fof_simplification,[status(thm)],[dated_on_blue_paper]) ).

cnf(c_0_28,plain,
    ( filed
    | ~ on_blue_paper ),
    c_0_21 ).

cnf(c_0_29,plain,
    ~ filed,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).

cnf(c_0_30,plain,
    ( dated
    | ~ on_one_sheet ),
    inference(fof_simplification,[status(thm)],[dated_if_on_one_sheet]) ).

cnf(c_0_31,plain,
    ( on_one_sheet
    | ~ crossed ),
    c_0_24 ).

cnf(c_0_32,plain,
    crossed,
    inference(sr,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_33,plain,
    ( on_blue_paper
    | ~ dated ),
    c_0_27 ).

cnf(c_0_34,plain,
    ~ on_blue_paper,
    inference(sr,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,plain,
    ( dated
    | ~ on_one_sheet ),
    c_0_30 ).

cnf(c_0_36,plain,
    on_one_sheet,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).

cnf(c_0_37,plain,
    ~ dated,
    inference(sr,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]),c_0_37]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : PUZ004-1 : TPTP v8.2.0. Released v1.0.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.13/0.32  % Computer : n010.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sat May 18 10:58:23 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.18/0.45  Running first-order model finding
% 0.18/0.46  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47  # Version: 3.1.0
% 0.18/0.47  # Preprocessing class: FSSSSLSSSSSNFFN.
% 0.18/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.18/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47  # Starting sh5l with 300s (1) cores
% 0.18/0.47  # SAT001_MinMin_p005000_rr_RG with pid 18973 completed with status 0
% 0.18/0.47  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.18/0.47  # Preprocessing class: FSSSSLSSSSSNFFN.
% 0.18/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.18/0.47  # No SInE strategy applied
% 0.18/0.47  # Search class: FGHNF-FFSS00-SFFFFFNN
% 0.18/0.47  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 901s (1) cores
% 0.18/0.47  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 151s (1) cores
% 0.18/0.47  # Starting new_bool_3 with 151s (1) cores
% 0.18/0.47  # Starting new_bool_1 with 151s (1) cores
% 0.18/0.47  # Starting sh5l with 146s (1) cores
% 0.18/0.47  # SAT001_MinMin_p005000_rr_RG with pid 18978 completed with status 0
% 0.18/0.47  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.18/0.47  # Preprocessing class: FSSSSLSSSSSNFFN.
% 0.18/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.18/0.47  # No SInE strategy applied
% 0.18/0.47  # Search class: FGHNF-FFSS00-SFFFFFNN
% 0.18/0.47  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 901s (1) cores
% 0.18/0.47  # Preprocessing time       : 0.001 s
% 0.18/0.47  # Presaturation interreduction done
% 0.18/0.47  
% 0.18/0.47  # Proof found!
% 0.18/0.47  # SZS status Unsatisfiable
% 0.18/0.47  # SZS output start CNFRefutation
% See solution above
% 0.18/0.47  # Parsed axioms                        : 12
% 0.18/0.47  # Removed by relevancy pruning/SinE    : 0
% 0.18/0.47  # Initial clauses                      : 12
% 0.18/0.47  # Removed in clause preprocessing      : 0
% 0.18/0.47  # Initial clauses in saturation        : 12
% 0.18/0.47  # Processed clauses                    : 24
% 0.18/0.47  # ...of these trivial                  : 0
% 0.18/0.47  # ...subsumed                          : 0
% 0.18/0.47  # ...remaining for further processing  : 24
% 0.18/0.47  # Other redundant clauses eliminated   : 0
% 0.18/0.47  # Clauses deleted for lack of memory   : 0
% 0.18/0.47  # Backward-subsumed                    : 1
% 0.18/0.47  # Backward-rewritten                   : 2
% 0.18/0.47  # Generated clauses                    : 0
% 0.18/0.47  # ...of the previous two non-redundant : 1
% 0.18/0.47  # ...aggressively subsumed             : 0
% 0.18/0.47  # Contextual simplify-reflections      : 0
% 0.18/0.47  # Paramodulations                      : 0
% 0.18/0.47  # Factorizations                       : 0
% 0.18/0.47  # NegExts                              : 0
% 0.18/0.47  # Equation resolutions                 : 0
% 0.18/0.47  # Disequality decompositions           : 0
% 0.18/0.47  # Total rewrite steps                  : 5
% 0.18/0.47  # ...of those cached                   : 0
% 0.18/0.47  # Propositional unsat checks           : 0
% 0.18/0.47  #    Propositional check models        : 0
% 0.18/0.47  #    Propositional check unsatisfiable : 0
% 0.18/0.47  #    Propositional clauses             : 0
% 0.18/0.47  #    Propositional clauses after purity: 0
% 0.18/0.47  #    Propositional unsat core size     : 0
% 0.18/0.47  #    Propositional preprocessing time  : 0.000
% 0.18/0.47  #    Propositional encoding time       : 0.000
% 0.18/0.47  #    Propositional solver time         : 0.000
% 0.18/0.47  #    Success case prop preproc time    : 0.000
% 0.18/0.47  #    Success case prop encoding time   : 0.000
% 0.18/0.47  #    Success case prop solver time     : 0.000
% 0.18/0.47  # Current number of processed clauses  : 10
% 0.18/0.47  #    Positive orientable unit clauses  : 5
% 0.18/0.47  #    Positive unorientable unit clauses: 0
% 0.18/0.47  #    Negative unit clauses             : 5
% 0.18/0.47  #    Non-unit-clauses                  : 0
% 0.18/0.47  # Current number of unprocessed clauses: 0
% 0.18/0.47  # ...number of literals in the above   : 0
% 0.18/0.47  # Current number of archived formulas  : 0
% 0.18/0.47  # Current number of archived clauses   : 14
% 0.18/0.47  # Clause-clause subsumption calls (NU) : 2
% 0.18/0.47  # Rec. Clause-clause subsumption calls : 2
% 0.18/0.47  # Non-unit clause-clause subsumptions  : 0
% 0.18/0.47  # Unit Clause-clause subsumption calls : 6
% 0.18/0.47  # Rewrite failures with RHS unbound    : 0
% 0.18/0.47  # BW rewrite match attempts            : 2
% 0.18/0.47  # BW rewrite match successes           : 2
% 0.18/0.47  # Condensation attempts                : 0
% 0.18/0.47  # Condensation successes               : 0
% 0.18/0.47  # Termbank termtop insertions          : 161
% 0.18/0.47  # Search garbage collected termcells   : 19
% 0.18/0.47  
% 0.18/0.47  # -------------------------------------------------
% 0.18/0.47  # User time                : 0.001 s
% 0.18/0.47  # System time              : 0.003 s
% 0.18/0.47  # Total time               : 0.004 s
% 0.18/0.47  # Maximum resident set size: 1600 pages
% 0.18/0.47  
% 0.18/0.47  # -------------------------------------------------
% 0.18/0.47  # User time                : 0.008 s
% 0.18/0.47  # System time              : 0.006 s
% 0.18/0.47  # Total time               : 0.014 s
% 0.18/0.47  # Maximum resident set size: 1680 pages
% 0.18/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------