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E-SAT---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:02:04 PM UTC 2026

% Result   : Unsatisfiable 0.09s 0.42s
% Output   : CNFRefutation 0.09s
% 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,
    ( ~ by_brown
    | begins_with_dear_sir ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',brown_starts_with_sir) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(c_0_14,hypothesis,
    by_brown,
    letter_by_brown ).

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

cnf(c_0_16,plain,
    ( ~ in_third_person
    | ~ begins_with_dear_sir ),
    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,
    ( ~ filed
    | ~ can_be_read ),
    inference(fof_simplification,[status(thm)],[not_filed_if_read]) ).

cnf(c_0_19,plain,
    ( ~ in_black_ink
    | in_third_person ),
    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,
    ( ~ on_blue_paper
    | filed ),
    inference(fof_simplification,[status(thm)],[filed_if_on_blue_paper]) ).

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

cnf(c_0_23,negated_conjecture,
    can_be_read,
    prove_it_cannot_be_read ).

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

cnf(c_0_25,axiom,
    ( in_black_ink
    | crossed ),
    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,
    ( ~ dated
    | on_blue_paper ),
    inference(fof_simplification,[status(thm)],[dated_on_blue_paper]) ).

cnf(c_0_28,plain,
    ( ~ on_blue_paper
    | filed ),
    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,
    ( ~ on_one_sheet
    | dated ),
    inference(fof_simplification,[status(thm)],[dated_if_on_one_sheet]) ).

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

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

cnf(c_0_33,plain,
    ( ~ dated
    | on_blue_paper ),
    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,
    ( ~ on_one_sheet
    | dated ),
    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
% 0.00/0.03  % Problem  : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n013.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 03:44:07 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.09/0.42  % Version: 3.5.1
% 0.09/0.42  % Preprocessing class: FSSSSLSSSSSNFFN.
% 0.09/0.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.42  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.09/0.42  % Starting new_bool_3 with 300s (1) cores
% 0.09/0.42  % Starting new_bool_1 with 300s (1) cores
% 0.09/0.42  % Starting sh5l with 300s (1) cores
% 0.09/0.42  % SAT001_MinMin_p005000_rr_RG with pid 4068175 completed with status 0
% 0.09/0.42  % Result found by SAT001_MinMin_p005000_rr_RG
% 0.09/0.42  % Preprocessing class: FSSSSLSSSSSNFFN.
% 0.09/0.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.42  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.09/0.42  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.42  % No SInE strategy applied
% 0.09/0.42  % Search class: FGHNF-FFSS00-SFFFFFNN
% 0.09/0.42  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.42  % Starting SubtermCWHack with 151s (1) cores
% 0.09/0.42  % Starting SAT001_MinMin_p005000_rr_RG with 901s (1) cores
% 0.09/0.42  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 151s (1) cores
% 0.09/0.42  % Starting new_bool_3 with 151s (1) cores
% 0.09/0.42  % Starting new_bool_1 with 146s (1) cores
% 0.09/0.42  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 4068183 completed with status 0
% 0.09/0.42  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.09/0.42  % Preprocessing class: FSSSSLSSSSSNFFN.
% 0.09/0.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.42  % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.09/0.42  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.42  % No SInE strategy applied
% 0.09/0.42  % Search class: FGHNF-FFSS00-SFFFFFNN
% 0.09/0.42  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.42  % Starting SubtermCWHack with 151s (1) cores
% 0.09/0.42  % Starting SAT001_MinMin_p005000_rr_RG with 901s (1) cores
% 0.09/0.42  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 151s (1) cores
% 0.09/0.42  % Preprocessing time       : 0.001 s
% 0.09/0.42  % Presaturation interreduction done
% 0.09/0.42  
% 0.09/0.42  % Proof found!
% 0.09/0.42  % SZS status Unsatisfiable
% 0.09/0.42  % SZS output start CNFRefutation
% See solution above
% 0.09/0.42  % Parsed axioms                        : 12
% 0.09/0.42  % Removed by relevancy pruning/SinE    : 0
% 0.09/0.42  % Initial clauses                      : 12
% 0.09/0.42  % Removed in clause preprocessing      : 0
% 0.09/0.42  % Initial clauses in saturation        : 12
% 0.09/0.42  % Processed clauses                    : 24
% 0.09/0.42  % ...of these trivial                  : 0
% 0.09/0.42  % ...subsumed                          : 0
% 0.09/0.42  % ...remaining for further processing  : 24
% 0.09/0.42  % Other redundant clauses eliminated   : 0
% 0.09/0.42  % Clauses deleted for lack of memory   : 0
% 0.09/0.42  % Backward-subsumed                    : 1
% 0.09/0.42  % Backward-rewritten                   : 2
% 0.09/0.42  % Generated clauses                    : 0
% 0.09/0.42  % ...of the previous two non-redundant : 1
% 0.09/0.42  % ...aggressively subsumed             : 0
% 0.09/0.42  % Contextual simplify-reflections      : 0
% 0.09/0.42  % Paramodulations                      : 0
% 0.09/0.42  % Factorizations                       : 0
% 0.09/0.42  % NegExts                              : 0
% 0.09/0.42  % Equation resolutions                 : 0
% 0.09/0.42  % Disequality decompositions           : 0
% 0.09/0.42  % Total rewrite steps                  : 5
% 0.09/0.42  % ...of those cached                   : 0
% 0.09/0.42  % Propositional unsat checks           : 0
% 0.09/0.42  %    Propositional check models        : 0
% 0.09/0.42  %    Propositional check unsatisfiable : 0
% 0.09/0.42  %    Propositional clauses             : 0
% 0.09/0.42  %    Propositional clauses after purity: 0
% 0.09/0.42  %    Propositional unsat core size     : 0
% 0.09/0.42  %    Propositional preprocessing time  : 0.000
% 0.09/0.42  %    Propositional encoding time       : 0.000
% 0.09/0.42  %    Propositional solver time         : 0.000
% 0.09/0.42  %    Success case prop preproc time    : 0.000
% 0.09/0.42  %    Success case prop encoding time   : 0.000
% 0.09/0.42  %    Success case prop solver time     : 0.000
% 0.09/0.42  % Current number of processed clauses  : 10
% 0.09/0.42  %    Positive orientable unit clauses  : 5
% 0.09/0.42  %    Positive unorientable unit clauses: 0
% 0.09/0.42  %    Negative unit clauses             : 5
% 0.09/0.42  %    Non-unit-clauses                  : 0
% 0.09/0.42  % Current number of unprocessed clauses: 0
% 0.09/0.42  % ...number of literals in the above   : 0
% 0.09/0.42  % Current number of archived formulas  : 0
% 0.09/0.42  % Current number of archived clauses   : 14
% 0.09/0.42  % Clause-clause subsumption calls (NU) : 2
% 0.09/0.42  % Rec. Clause-clause subsumption calls : 2
% 0.09/0.42  % Non-unit clause-clause subsumptions  : 0
% 0.09/0.42  % Unit Clause-clause subsumption calls : 6
% 0.09/0.42  % Rewrite failures with RHS unbound    : 0
% 0.09/0.42  % BW rewrite match attempts            : 2
% 0.09/0.42  % BW rewrite match successes           : 2
% 0.09/0.42  % Condensation attempts                : 0
% 0.09/0.42  % Condensation successes               : 0
% 0.09/0.42  % Termbank termtop insertions          : 193
% 0.09/0.42  % Search garbage collected termcells   : 19
% 0.09/0.42  
% 0.09/0.42  % -------------------------------------------------
% 0.09/0.42  % User time                : 0.004 s
% 0.09/0.42  % System time              : 0.000 s
% 0.09/0.42  % Total time               : 0.004 s
% 0.09/0.42  % Maximum resident set size: 3628 pages
% 0.09/0.42  
% 0.09/0.42  % -------------------------------------------------
% 0.09/0.42  % User time                : 0.012 s
% 0.09/0.42  % System time              : 0.004 s
% 0.09/0.42  % Total time               : 0.016 s
% 0.09/0.42  % Maximum resident set size: 4864 pages
% 0.09/0.42  % E exiting
%------------------------------------------------------------------------------