%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 02:01:20 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 39 ( 13 unt; 2 nHn; 39 RR)
% Number of literals : 65 ( 0 equ; 32 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/sandbox2/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/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_black_ink
| in_third_person ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',black_ink_in_third_person) ).
cnf(on_one_sheet_if_crossed,axiom,
( ~ crossed
| on_one_sheet ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',on_one_sheet_if_crossed) ).
cnf(not_crossed_in_black_ink,axiom,
( in_black_ink
| crossed ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_crossed_in_black_ink) ).
cnf(dated_if_on_one_sheet,axiom,
( ~ on_one_sheet
| dated ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dated_if_on_one_sheet) ).
cnf(dated_on_blue_paper,axiom,
( ~ dated
| on_blue_paper ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dated_on_blue_paper) ).
cnf(filed_if_on_blue_paper,axiom,
( ~ on_blue_paper
| filed ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filed_if_on_blue_paper) ).
cnf(not_filed_if_read,axiom,
( ~ filed
| ~ can_be_read ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_filed_if_read) ).
cnf(prove_it_cannot_be_read,negated_conjecture,
can_be_read,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_it_cannot_be_read) ).
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_third_person
| ~ begins_with_dear_sir ),
c_0_12 ).
cnf(c_0_16,plain,
begins_with_dear_sir,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
cnf(c_0_17,plain,
( ~ in_black_ink
| in_third_person ),
inference(fof_simplification,[status(thm)],[black_ink_in_third_person]) ).
cnf(c_0_18,plain,
~ in_third_person,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).
cnf(c_0_19,plain,
( ~ in_black_ink
| in_third_person ),
c_0_17 ).
cnf(c_0_20,plain,
( ~ crossed
| on_one_sheet ),
inference(fof_simplification,[status(thm)],[on_one_sheet_if_crossed]) ).
cnf(c_0_21,axiom,
( in_black_ink
| crossed ),
not_crossed_in_black_ink ).
cnf(c_0_22,plain,
~ in_black_ink,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( ~ on_one_sheet
| dated ),
inference(fof_simplification,[status(thm)],[dated_if_on_one_sheet]) ).
cnf(c_0_24,plain,
( ~ crossed
| on_one_sheet ),
c_0_20 ).
cnf(c_0_25,plain,
crossed,
inference(sr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
( ~ dated
| on_blue_paper ),
inference(fof_simplification,[status(thm)],[dated_on_blue_paper]) ).
cnf(c_0_27,plain,
( ~ on_one_sheet
| dated ),
c_0_23 ).
cnf(c_0_28,plain,
on_one_sheet,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_29,plain,
( ~ on_blue_paper
| filed ),
inference(fof_simplification,[status(thm)],[filed_if_on_blue_paper]) ).
cnf(c_0_30,plain,
( ~ dated
| on_blue_paper ),
c_0_26 ).
cnf(c_0_31,plain,
dated,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]) ).
cnf(c_0_32,plain,
( ~ filed
| ~ can_be_read ),
inference(fof_simplification,[status(thm)],[not_filed_if_read]) ).
cnf(c_0_33,plain,
( ~ on_blue_paper
| filed ),
c_0_29 ).
cnf(c_0_34,plain,
on_blue_paper,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_35,plain,
( ~ filed
| ~ can_be_read ),
c_0_32 ).
cnf(c_0_36,negated_conjecture,
can_be_read,
prove_it_cannot_be_read ).
cnf(c_0_37,plain,
filed,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).
cnf(c_0_38,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[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.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.37 % Computer : n013.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 03:44:12 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.44 % Version: 3.5.1
% 0.14/5.44 % Preprocessing class: FSSSSLSSSSSNFFN.
% 0.14/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.44 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.14/5.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.44 % Starting sh5l with 300s (1) cores
% 0.14/5.44 % SAT001_MinMin_p005000_rr_RG with pid 4068370 completed with status 0
% 0.14/5.44 % Result found by SAT001_MinMin_p005000_rr_RG
% 0.14/5.44 % Preprocessing class: FSSSSLSSSSSNFFN.
% 0.14/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.44 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.14/5.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.44 % No SInE strategy applied
% 0.14/5.44 % Search class: FGHNF-FFSS00-SFFFFFNN
% 0.14/5.44 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.44 % Starting SubtermCWHack with 151s (1) cores
% 0.14/5.44 % Starting SAT001_MinMin_p005000_rr_RG with 901s (1) cores
% 0.14/5.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 151s (1) cores
% 0.14/5.44 % Starting new_bool_3 with 151s (1) cores
% 0.14/5.44 % Starting new_bool_1 with 146s (1) cores
% 0.14/5.44 % SubtermCWHack with pid 4068374 completed with status 0
% 0.14/5.44 % Result found by SubtermCWHack
% 0.14/5.44 % Preprocessing class: FSSSSLSSSSSNFFN.
% 0.14/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.44 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.14/5.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.44 % No SInE strategy applied
% 0.14/5.44 % Search class: FGHNF-FFSS00-SFFFFFNN
% 0.14/5.44 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.44 % Starting SubtermCWHack with 151s (1) cores
% 0.14/5.44 % Preprocessing time : 0.001 s
% 0.14/5.44
% 0.14/5.44 % Proof found!
% 0.14/5.44 % SZS status Unsatisfiable
% 0.14/5.44 % SZS output start CNFRefutation
% See solution above
% 0.14/5.44 % Parsed axioms : 12
% 0.14/5.44 % Removed by relevancy pruning/SinE : 0
% 0.14/5.44 % Initial clauses : 12
% 0.14/5.44 % Removed in clause preprocessing : 0
% 0.14/5.44 % Initial clauses in saturation : 12
% 0.14/5.44 % Processed clauses : 18
% 0.14/5.44 % ...of these trivial : 0
% 0.14/5.44 % ...subsumed : 0
% 0.14/5.44 % ...remaining for further processing : 17
% 0.14/5.44 % Other redundant clauses eliminated : 0
% 0.14/5.44 % Clauses deleted for lack of memory : 0
% 0.14/5.44 % Backward-subsumed : 2
% 0.14/5.44 % Backward-rewritten : 4
% 0.14/5.44 % Generated clauses : 4
% 0.14/5.44 % ...of the previous two non-redundant : 7
% 0.14/5.44 % ...aggressively subsumed : 0
% 0.14/5.44 % Contextual simplify-reflections : 0
% 0.14/5.44 % Paramodulations : 3
% 0.14/5.44 % Factorizations : 0
% 0.14/5.44 % NegExts : 0
% 0.14/5.44 % Equation resolutions : 0
% 0.14/5.44 % Disequality decompositions : 0
% 0.14/5.44 % Total rewrite steps : 8
% 0.14/5.44 % ...of those cached : 0
% 0.14/5.44 % Propositional unsat checks : 0
% 0.14/5.44 % Propositional check models : 0
% 0.14/5.44 % Propositional check unsatisfiable : 0
% 0.14/5.44 % Propositional clauses : 0
% 0.14/5.44 % Propositional clauses after purity: 0
% 0.14/5.44 % Propositional unsat core size : 0
% 0.14/5.44 % Propositional preprocessing time : 0.000
% 0.14/5.44 % Propositional encoding time : 0.000
% 0.14/5.44 % Propositional solver time : 0.000
% 0.14/5.44 % Success case prop preproc time : 0.000
% 0.14/5.44 % Success case prop encoding time : 0.000
% 0.14/5.44 % Success case prop solver time : 0.000
% 0.14/5.44 % Current number of processed clauses : 10
% 0.14/5.44 % Positive orientable unit clauses : 8
% 0.14/5.44 % Positive unorientable unit clauses: 0
% 0.14/5.44 % Negative unit clauses : 2
% 0.14/5.44 % Non-unit-clauses : 0
% 0.14/5.44 % Current number of unprocessed clauses: 1
% 0.14/5.44 % ...number of literals in the above : 2
% 0.14/5.44 % Current number of archived formulas : 0
% 0.14/5.44 % Current number of archived clauses : 7
% 0.14/5.44 % Clause-clause subsumption calls (NU) : 0
% 0.14/5.44 % Rec. Clause-clause subsumption calls : 0
% 0.14/5.44 % Non-unit clause-clause subsumptions : 0
% 0.14/5.44 % Unit Clause-clause subsumption calls : 7
% 0.14/5.44 % Rewrite failures with RHS unbound : 0
% 0.14/5.44 % BW rewrite match attempts : 4
% 0.14/5.44 % BW rewrite match successes : 4
% 0.14/5.44 % Condensation attempts : 0
% 0.14/5.44 % Condensation successes : 0
% 0.14/5.44 % Termbank termtop insertions : 203
% 0.14/5.44 % Search garbage collected termcells : 19
% 0.14/5.44
% 0.14/5.44 % -------------------------------------------------
% 0.14/5.44 % User time : 0.005 s
% 0.14/5.44 % System time : 0.001 s
% 0.14/5.44 % Total time : 0.005 s
% 0.14/5.44 % Maximum resident set size: 3628 pages
% 0.14/5.44
% 0.14/5.44 % -------------------------------------------------
% 0.14/5.44 % User time : 0.011 s
% 0.14/5.44 % System time : 0.010 s
% 0.14/5.44 % Total time : 0.021 s
% 0.14/5.44 % Maximum resident set size: 4608 pages
% 0.14/5.44 % E exiting
%------------------------------------------------------------------------------