%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : HWV069-1 : TPTP v9.3.1. Bugfixed v5.5.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:48:24 PM UTC 2026
% Result : Unsatisfiable 36.27s 33.52s
% Output : CNFRefutation 36.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 17
% Syntax : Number of clauses : 50 ( 11 unt; 6 nHn; 50 RR)
% Number of literals : 131 ( 0 equ; 81 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 3 prp; 0-4 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 168 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3018,axiom,
( ~ esk7953_4(X1,X2,X3,X4)
| esk7951_4(X1,X2,X3,X4)
| esk7952_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_3018) ).
cnf(i_0_3978,axiom,
( ~ esk7826_4(X1,X2,X3,X4)
| esk7824_4(X1,X2,X3,X4)
| esk7825_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_3978) ).
cnf(i_0_8559,axiom,
( ~ esk7824_4(X1,X2,X3,X4)
| esk7953_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_8559) ).
cnf(i_0_27269,axiom,
( ~ esk8761_4(X1,X2,X3,X4)
| esk8120_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_27269) ).
cnf(i_0_18074,axiom,
( ~ esk9108_4(X1,X2,X3,X4)
| esk7937_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_18074) ).
cnf(i_0_6826,axiom,
( ~ esk8752_4(X1,X2,X3,X4)
| esk9168_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_6826) ).
cnf(i_0_17201,axiom,
( ~ esk7825_4(X1,X2,X3,X4)
| esk8761_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_17201) ).
cnf(i_0_1548,axiom,
( ~ esk8751_4(X1,X2,X3,X4)
| esk7826_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_1548) ).
cnf(i_0_902,axiom,
( ~ p(X3)
| ~ p(X4)
| ~ esk7937_4(X3,X4,X2,X1)
| ~ p(X2)
| ~ p(X1)
| esk1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_902) ).
cnf(i_0_16826,axiom,
( ~ p(X4)
| ~ esk9168_4(X4,X3,X1,X2)
| ~ p(X3)
| ~ p(X2)
| ~ p(X1)
| esk1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_16826) ).
cnf(i_0_14639,axiom,
( ~ p(X4)
| ~ esk2_0
| ~ p(X3)
| ~ p(X2)
| ~ p(X1)
| esk8751_4(X1,X3,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_14639) ).
cnf(i_0_26419,axiom,
( ~ esk7952_4(X1,X2,X3,X4)
| esk9108_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_26419) ).
cnf(i_0_15706,axiom,
( ~ esk7951_4(X1,X2,X3,X4)
| esk8752_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_15706) ).
cnf(i_0_18461,axiom,
~ esk8120_4(X1,X2,X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_18461) ).
cnf(i_0_15881,axiom,
~ esk1_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_15881) ).
cnf(rule_true,axiom,
p(true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_true) ).
cnf(i_0_25550,axiom,
esk2_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_25550) ).
cnf(c_0_27287,plain,
( ~ esk7953_4(X1,X2,X3,X4)
| esk7951_4(X1,X2,X3,X4)
| esk7952_4(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[i_0_3018]) ).
cnf(c_0_27288,plain,
( ~ esk7826_4(X1,X2,X3,X4)
| esk7824_4(X1,X2,X3,X4)
| esk7825_4(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[i_0_3978]) ).
cnf(c_0_27289,plain,
( ~ esk7824_4(X1,X2,X3,X4)
| esk7953_4(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[i_0_8559]) ).
cnf(c_0_27290,plain,
( ~ esk8761_4(X1,X2,X3,X4)
| esk8120_4(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[i_0_27269]) ).
cnf(c_0_27291,plain,
( ~ esk9108_4(X1,X2,X3,X4)
| esk7937_4(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[i_0_18074]) ).
cnf(c_0_27292,plain,
( ~ esk8752_4(X1,X2,X3,X4)
| esk9168_4(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[i_0_6826]) ).
cnf(c_0_27293,plain,
( ~ esk7825_4(X1,X2,X3,X4)
| esk8761_4(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[i_0_17201]) ).
cnf(c_0_27294,plain,
( ~ esk8751_4(X1,X2,X3,X4)
| esk7826_4(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[i_0_1548]) ).
cnf(c_0_27295,plain,
( ~ p(X3)
| ~ p(X4)
| ~ esk7937_4(X3,X4,X2,X1)
| ~ p(X2)
| ~ p(X1)
| esk1_0 ),
inference(fof_simplification,[status(thm)],[i_0_902]) ).
cnf(c_0_27296,plain,
( ~ p(X4)
| ~ esk9168_4(X4,X3,X1,X2)
| ~ p(X3)
| ~ p(X2)
| ~ p(X1)
| esk1_0 ),
inference(fof_simplification,[status(thm)],[i_0_16826]) ).
cnf(c_0_27297,plain,
( ~ p(X4)
| ~ esk2_0
| ~ p(X3)
| ~ p(X2)
| ~ p(X1)
| esk8751_4(X1,X3,X4,X2) ),
inference(fof_simplification,[status(thm)],[i_0_14639]) ).
cnf(c_0_27298,plain,
( ~ esk7952_4(X1,X2,X3,X4)
| esk9108_4(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[i_0_26419]) ).
cnf(c_0_27299,plain,
( ~ esk7951_4(X1,X2,X3,X4)
| esk8752_4(X1,X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[i_0_15706]) ).
cnf(c_0_27300,plain,
~ esk8120_4(X1,X2,X3,X4),
inference(fof_simplification,[status(thm)],[i_0_18461]) ).
cnf(c_0_27301,plain,
~ esk1_0,
inference(fof_simplification,[status(thm)],[i_0_15881]) ).
cnf(c_0_27302,plain,
( ~ esk7953_4(X1,X2,X3,X4)
| esk7951_4(X1,X2,X3,X4)
| esk7952_4(X1,X2,X3,X4) ),
c_0_27287 ).
cnf(c_0_27303,plain,
( ~ esk7826_4(X1,X2,X3,X4)
| esk7824_4(X1,X2,X3,X4)
| esk7825_4(X1,X2,X3,X4) ),
c_0_27288 ).
cnf(c_0_27304,plain,
( ~ esk7824_4(X1,X2,X3,X4)
| esk7953_4(X1,X2,X3,X4) ),
c_0_27289 ).
cnf(c_0_27305,plain,
( ~ esk8761_4(X1,X2,X3,X4)
| esk8120_4(X1,X2,X3,X4) ),
c_0_27290 ).
cnf(c_0_27306,plain,
( ~ esk9108_4(X1,X2,X3,X4)
| esk7937_4(X1,X2,X3,X4) ),
c_0_27291 ).
cnf(c_0_27307,plain,
( ~ esk8752_4(X1,X2,X3,X4)
| esk9168_4(X1,X2,X3,X4) ),
c_0_27292 ).
cnf(c_0_27308,plain,
( ~ esk7825_4(X1,X2,X3,X4)
| esk8761_4(X1,X2,X3,X4) ),
c_0_27293 ).
cnf(c_0_27309,plain,
( ~ esk8751_4(X1,X2,X3,X4)
| esk7826_4(X1,X2,X3,X4) ),
c_0_27294 ).
cnf(c_0_27310,plain,
( ~ p(X3)
| ~ p(X4)
| ~ esk7937_4(X3,X4,X2,X1)
| ~ p(X2)
| ~ p(X1)
| esk1_0 ),
c_0_27295 ).
cnf(c_0_27311,plain,
( ~ p(X4)
| ~ esk9168_4(X4,X3,X1,X2)
| ~ p(X3)
| ~ p(X2)
| ~ p(X1)
| esk1_0 ),
c_0_27296 ).
cnf(c_0_27312,plain,
( ~ p(X4)
| ~ esk2_0
| ~ p(X3)
| ~ p(X2)
| ~ p(X1)
| esk8751_4(X1,X3,X4,X2) ),
c_0_27297 ).
cnf(c_0_27313,plain,
( ~ esk7952_4(X1,X2,X3,X4)
| esk9108_4(X1,X2,X3,X4) ),
c_0_27298 ).
cnf(c_0_27314,plain,
( ~ esk7951_4(X1,X2,X3,X4)
| esk8752_4(X1,X2,X3,X4) ),
c_0_27299 ).
cnf(c_0_27315,plain,
~ esk8120_4(X1,X2,X3,X4),
c_0_27300 ).
cnf(c_0_27316,plain,
~ esk1_0,
c_0_27301 ).
cnf(c_0_27317,axiom,
p(true),
rule_true ).
cnf(c_0_27318,axiom,
esk2_0,
i_0_25550 ).
cnf(c_0_27319,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_27302,c_0_27303,c_0_27304,c_0_27305,c_0_27306,c_0_27307,c_0_27308,c_0_27309,c_0_27310,c_0_27311,c_0_27312,c_0_27313,c_0_27314,c_0_27315,c_0_27316,c_0_27317,c_0_27318]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV069-1 : TPTP v9.3.1. Bugfixed v5.5.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n006.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 20 21:10:28 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 36.27/33.52 % Version: 3.5.1
% 36.27/33.52 % Preprocessing class: FMLLLLSSSSSNFFN.
% 36.27/33.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 36.27/33.52 % Starting new_bool_3 with 900s (3) cores
% 36.27/33.52 % Starting new_bool_1 with 900s (3) cores
% 36.27/33.52 % Starting sh5l with 300s (1) cores
% 36.27/33.52 % Starting SAT001_MinMin_p005000_rr_RG with 300s (1) cores
% 36.27/33.52 % new_bool_3 with pid 1258470 completed with status 9
% 36.27/33.52 % new_bool_1 with pid 1258471 completed with status 9
% 36.27/33.52 % sh5l with pid 1258472 completed with status 9
% 36.27/33.52 % SAT001_MinMin_p005000_rr_RG with pid 1258473 completed with status 0
% 36.27/33.52 % Result found by SAT001_MinMin_p005000_rr_RG
% 36.27/33.52 % Preprocessing class: FMLLLLSSSSSNFFN.
% 36.27/33.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 36.27/33.52 % Starting new_bool_3 with 900s (3) cores
% 36.27/33.52 % Starting new_bool_1 with 900s (3) cores
% 36.27/33.52 % Starting sh5l with 300s (1) cores
% 36.27/33.52 % Starting SAT001_MinMin_p005000_rr_RG with 300s (1) cores
% 36.27/33.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 36.27/33.52 % No SInE strategy applied
% 36.27/33.52 % Search class: FGHSM-SMLF00-SFFFFFNN
% 36.27/33.52 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 36.27/33.52 % Starting SubtermCWHack with 31s (1) cores
% 36.27/33.52 % SubtermCWHack with pid 1258512 completed with status 8
% 36.27/33.52 % Starting SAT001_MinMin_p005000_rr_RG with 129s (1) cores
% 36.27/33.52 % SAT001_MinMin_p005000_rr_RG with pid 1258515 completed with status 0
% 36.27/33.52 % Result found by SAT001_MinMin_p005000_rr_RG
% 36.27/33.52 % Preprocessing class: FMLLLLSSSSSNFFN.
% 36.27/33.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 36.27/33.52 % Starting new_bool_3 with 900s (3) cores
% 36.27/33.52 % Starting new_bool_1 with 900s (3) cores
% 36.27/33.52 % Starting sh5l with 300s (1) cores
% 36.27/33.52 % Starting SAT001_MinMin_p005000_rr_RG with 300s (1) cores
% 36.27/33.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 36.27/33.52 % No SInE strategy applied
% 36.27/33.52 % Search class: FGHSM-SMLF00-SFFFFFNN
% 36.27/33.52 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 36.27/33.52 % Starting SubtermCWHack with 31s (1) cores
% 36.27/33.52 % SubtermCWHack with pid 1258512 completed with status 8
% 36.27/33.52 % Starting SAT001_MinMin_p005000_rr_RG with 129s (1) cores
% 36.27/33.52 % Preprocessing time : 0.181 s
% 36.27/33.52 % SatCheck found unsatisfiable ground set
% 36.27/33.52 % Presaturation interreduction done
% 36.27/33.52
% 36.27/33.52 % Proof found!
% 36.27/33.52 % SZS status Unsatisfiable
% 36.27/33.52 % SZS output start CNFRefutation
% See solution above
% 36.27/33.52 % Parsed axioms : 27749
% 36.27/33.52 % Removed by relevancy pruning/SinE : 0
% 36.27/33.52 % Initial clauses : 27749
% 36.27/33.52 % Removed in clause preprocessing : 0
% 36.27/33.52 % Initial clauses in saturation : 27749
% 36.27/33.52 % Processed clauses : 5625
% 36.27/33.52 % ...of these trivial : 523
% 36.27/33.52 % ...subsumed : 102
% 36.27/33.52 % ...remaining for further processing : 5000
% 36.27/33.52 % Other redundant clauses eliminated : 0
% 36.27/33.52 % Clauses deleted for lack of memory : 0
% 36.27/33.52 % Backward-subsumed : 0
% 36.27/33.52 % Backward-rewritten : 9
% 36.27/33.52 % Generated clauses : 0
% 36.27/33.52 % ...of the previous two non-redundant : 0
% 36.27/33.52 % ...aggressively subsumed : 0
% 36.27/33.52 % Contextual simplify-reflections : 0
% 36.27/33.52 % Paramodulations : 0
% 36.27/33.52 % Factorizations : 0
% 36.27/33.52 % NegExts : 0
% 36.27/33.52 % Equation resolutions : 0
% 36.27/33.52 % Disequality decompositions : 0
% 36.27/33.52 % Total rewrite steps : 535
% 36.27/33.52 % ...of those cached : 522
% 36.27/33.52 % Propositional unsat checks : 1
% 36.27/33.52 % Propositional check models : 0
% 36.27/33.52 % Propositional check unsatisfiable : 1
% 36.27/33.52 % Propositional clauses : 27115
% 36.27/33.52 % Propositional clauses after purity: 27113
% 36.27/33.52 % Propositional unsat core size : 17
% 36.27/33.52 % Propositional preprocessing time : 0.000
% 36.27/33.52 % Propositional encoding time : 0.031
% 36.27/33.52 % Propositional solver time : 0.007
% 36.27/33.52 % Success case prop preproc time : 0.000
% 36.27/33.52 % Success case prop encoding time : 0.031
% 36.27/33.52 % Success case prop solver time : 0.007
% 36.27/33.52 % Current number of processed clauses : 4991
% 36.27/33.52 % Positive orientable unit clauses : 21
% 36.27/33.52 % Positive unorientable unit clauses: 0
% 36.27/33.52 % Negative unit clauses : 33
% 36.27/33.52 % Non-unit-clauses : 4937
% 36.27/33.52 % Current number of unprocessed clauses: 22124
% 36.27/33.52 % ...number of literals in the above : 71376
% 36.27/33.52 % Current number of archived formulas : 0
% 36.27/33.52 % Current number of archived clauses : 9
% 36.27/33.52 % Clause-clause subsumption calls (NU) : 6127967
% 36.27/33.52 % Rec. Clause-clause subsumption calls : 3607925
% 36.27/33.52 % Non-unit clause-clause subsumptions : 0
% 36.27/33.52 % Unit Clause-clause subsumption calls : 29749
% 36.27/33.52 % Rewrite failures with RHS unbound : 0
% 36.27/33.52 % BW rewrite match attempts : 3
% 36.27/33.52 % BW rewrite match successes : 3
% 36.27/33.52 % Condensation attempts : 0
% 36.27/33.52 % Condensation successes : 0
% 36.27/33.52 % Termbank termtop insertions : 917197
% 36.27/33.52 % Search garbage collected termcells : 53155
% 36.27/33.52
% 36.27/33.52 % -------------------------------------------------
% 36.27/33.52 % User time : 32.305 s
% 36.27/33.52 % System time : 0.184 s
% 36.27/33.52 % Total time : 32.490 s
% 36.27/33.52 % Maximum resident set size: 58288 pages
% 36.27/33.52
% 36.27/33.52 % -------------------------------------------------
% 36.27/33.52 % User time : 35.253 s
% 36.27/33.52 % System time : 0.875 s
% 36.27/33.52 % Total time : 36.129 s
% 36.27/33.52 % Maximum resident set size: 23552 pages
% 36.27/33.52 % E exiting
%------------------------------------------------------------------------------