%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : HWV061-1 : 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 : n001.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 12:49:39 PM UTC 2026
% Result : Unsatisfiable 0.19s 38.62s
% Output : CNFRefutation 0.19s
% 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,
( ~ esk19872_3(X1,X2,X3)
| esk16546_3(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_40292) ).
cnf(i_0_21546,axiom,
( ~ esk16546_3(X1,X2,X3)
| esk16605_3(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_21546) ).
cnf(i_0_49830,axiom,
( ~ esk15882_3(X1,X2,X3)
| esk19872_3(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_49830) ).
cnf(i_0_3222,axiom,
( ~ esk15941_3(X1,X2,X3)
| esk15882_3(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_3222) ).
cnf(i_0_78722,axiom,
( ~ esk27829_3(X1,X2,X3)
| esk15941_3(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_78722) ).
cnf(i_0_24888,axiom,
( ~ esk16605_3(X1,X2,X3)
| esk27894_3(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_24888) ).
cnf(i_0_44121,axiom,
( ~ esk27894_3(X2,X3,X1)
| ~ p(X3)
| ~ p(X2)
| ~ p(X1)
| esk1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_44121) ).
cnf(i_0_24083,axiom,
( ~ p(X3)
| ~ p(X2)
| ~ esk2_0
| ~ p(X1)
| esk27829_3(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_24083) ).
cnf(i_0_49597,axiom,
~ esk1_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_49597) ).
cnf(rule_true,axiom,
p(true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_true) ).
cnf(i_0_21820,axiom,
esk2_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_0_21820) ).
cnf(c_0_78734,plain,
( ~ esk19872_3(X1,X2,X3)
| esk16546_3(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[i_0_40292]) ).
cnf(c_0_78735,plain,
( ~ esk16546_3(X1,X2,X3)
| esk16605_3(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[i_0_21546]) ).
cnf(c_0_78736,plain,
( ~ esk15882_3(X1,X2,X3)
| esk19872_3(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[i_0_49830]) ).
cnf(c_0_78737,plain,
( ~ esk15941_3(X1,X2,X3)
| esk15882_3(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[i_0_3222]) ).
cnf(c_0_78738,plain,
( ~ esk27829_3(X1,X2,X3)
| esk15941_3(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[i_0_78722]) ).
cnf(c_0_78739,plain,
( ~ esk16605_3(X1,X2,X3)
| esk27894_3(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[i_0_24888]) ).
cnf(c_0_78740,plain,
( ~ esk27894_3(X2,X3,X1)
| ~ p(X3)
| ~ p(X2)
| ~ p(X1)
| esk1_0 ),
inference(fof_simplification,[status(thm)],[i_0_44121]) ).
cnf(c_0_78741,plain,
( ~ p(X3)
| ~ p(X2)
| ~ esk2_0
| ~ p(X1)
| esk27829_3(X1,X2,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,
( ~ esk19872_3(X1,X2,X3)
| esk16546_3(X1,X2,X3) ),
c_0_78734 ).
cnf(c_0_78744,plain,
( ~ esk16546_3(X1,X2,X3)
| esk16605_3(X1,X2,X3) ),
c_0_78735 ).
cnf(c_0_78745,plain,
( ~ esk15882_3(X1,X2,X3)
| esk19872_3(X1,X2,X3) ),
c_0_78736 ).
cnf(c_0_78746,plain,
( ~ esk15941_3(X1,X2,X3)
| esk15882_3(X1,X2,X3) ),
c_0_78737 ).
cnf(c_0_78747,plain,
( ~ esk27829_3(X1,X2,X3)
| esk15941_3(X1,X2,X3) ),
c_0_78738 ).
cnf(c_0_78748,plain,
( ~ esk16605_3(X1,X2,X3)
| esk27894_3(X1,X2,X3) ),
c_0_78739 ).
cnf(c_0_78749,plain,
( ~ esk27894_3(X2,X3,X1)
| ~ p(X3)
| ~ p(X2)
| ~ p(X1)
| esk1_0 ),
c_0_78740 ).
cnf(c_0_78750,plain,
( ~ p(X3)
| ~ p(X2)
| ~ esk2_0
| ~ p(X1)
| esk27829_3(X1,X2,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
% 0.00/0.03 % Problem : HWV061-1 : TPTP v9.3.1. Bugfixed v5.5.1.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n001.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 20 21:11:43 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.47 Running first-order theorem proving
% 0.18/0.47 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
% 0.19/38.62 % Version: 3.5.1
% 0.19/38.62 % Preprocessing class: FMLLLLSSSSSNFFN.
% 0.19/38.62 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 0.19/38.62 % Starting new_bool_3 with 894s (3) cores
% 0.19/38.62 % Starting new_bool_1 with 894s (3) cores
% 0.19/38.62 % Starting sh5l with 298s (1) cores
% 0.19/38.62 % Starting SAT001_MinMin_p005000_rr_RG with 298s (1) cores
% 0.19/38.62 % sh5l with pid 1414664 completed with status 9
% 0.19/38.62 % new_bool_3 with pid 1414662 completed with status 9
% 0.19/38.62 % new_bool_1 with pid 1414663 completed with status 9
% 0.19/38.62 % SAT001_MinMin_p005000_rr_RG with pid 1414665 completed with status 0
% 0.19/38.62 % Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/38.62 % Preprocessing class: FMLLLLSSSSSNFFN.
% 0.19/38.62 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 0.19/38.62 % Starting new_bool_3 with 894s (3) cores
% 0.19/38.62 % Starting new_bool_1 with 894s (3) cores
% 0.19/38.62 % Starting sh5l with 298s (1) cores
% 0.19/38.62 % Starting SAT001_MinMin_p005000_rr_RG with 298s (1) cores
% 0.19/38.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/38.62 % No SInE strategy applied
% 0.19/38.62 % Search class: FGHSM-SMLF00-SFFFFFNN
% 0.19/38.62 % Scheduled 6 strats onto 1 cores with 295 seconds (295 total)
% 0.19/38.62 % Starting SubtermCWHack with 30s (1) cores
% 0.19/38.62 % SubtermCWHack with pid 1414704 completed with status 8
% 0.19/38.62 % Starting SAT001_MinMin_p005000_rr_RG with 127s (1) cores
% 0.19/38.62 % SAT001_MinMin_p005000_rr_RG with pid 1414706 completed with status 0
% 0.19/38.62 % Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/38.62 % Preprocessing class: FMLLLLSSSSSNFFN.
% 0.19/38.62 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 0.19/38.62 % Starting new_bool_3 with 894s (3) cores
% 0.19/38.62 % Starting new_bool_1 with 894s (3) cores
% 0.19/38.62 % Starting sh5l with 298s (1) cores
% 0.19/38.62 % Starting SAT001_MinMin_p005000_rr_RG with 298s (1) cores
% 0.19/38.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/38.62 % No SInE strategy applied
% 0.19/38.62 % Search class: FGHSM-SMLF00-SFFFFFNN
% 0.19/38.62 % Scheduled 6 strats onto 1 cores with 295 seconds (295 total)
% 0.19/38.62 % Starting SubtermCWHack with 30s (1) cores
% 0.19/38.62 % SubtermCWHack with pid 1414704 completed with status 8
% 0.19/38.62 % Starting SAT001_MinMin_p005000_rr_RG with 127s (1) cores
% 0.19/38.62 % Preprocessing time : 1.401 s
% 0.19/38.62 % SatCheck found unsatisfiable ground set
% 0.19/38.62 % Presaturation interreduction done
% 0.19/38.62
% 0.19/38.62 % Proof found!
% 0.19/38.62 % SZS status Unsatisfiable
% 0.19/38.62 % SZS output start CNFRefutation
% See solution above
% 0.19/38.62 % Parsed axioms : 89007
% 0.19/38.62 % Removed by relevancy pruning/SinE : 0
% 0.19/38.62 % Initial clauses : 89007
% 0.19/38.62 % Removed in clause preprocessing : 0
% 0.19/38.62 % Initial clauses in saturation : 89007
% 0.19/38.62 % Processed clauses : 5350
% 0.19/38.62 % ...of these trivial : 90
% 0.19/38.62 % ...subsumed : 260
% 0.19/38.62 % ...remaining for further processing : 5000
% 0.19/38.62 % Other redundant clauses eliminated : 0
% 0.19/38.62 % Clauses deleted for lack of memory : 0
% 0.19/38.62 % Backward-subsumed : 10
% 0.19/38.62 % Backward-rewritten : 0
% 0.19/38.62 % Generated clauses : 0
% 0.19/38.62 % ...of the previous two non-redundant : 0
% 0.19/38.62 % ...aggressively subsumed : 0
% 0.19/38.62 % Contextual simplify-reflections : 0
% 0.19/38.62 % Paramodulations : 0
% 0.19/38.62 % Factorizations : 0
% 0.19/38.62 % NegExts : 0
% 0.19/38.62 % Equation resolutions : 0
% 0.19/38.62 % Disequality decompositions : 0
% 0.19/38.62 % Total rewrite steps : 90
% 0.19/38.62 % ...of those cached : 85
% 0.19/38.62 % Propositional unsat checks : 1
% 0.19/38.62 % Propositional check models : 0
% 0.19/38.62 % Propositional check unsatisfiable : 1
% 0.19/38.62 % Propositional clauses : 88647
% 0.19/38.62 % Propositional clauses after purity: 88629
% 0.19/38.62 % Propositional unsat core size : 11
% 0.19/38.62 % Propositional preprocessing time : 0.000
% 0.19/38.62 % Propositional encoding time : 0.211
% 0.19/38.62 % Propositional solver time : 0.047
% 0.19/38.62 % Success case prop preproc time : 0.000
% 0.19/38.62 % Success case prop encoding time : 0.211
% 0.19/38.62 % Success case prop solver time : 0.047
% 0.19/38.62 % Current number of processed clauses : 4990
% 0.19/38.62 % Positive orientable unit clauses : 53
% 0.19/38.62 % Positive unorientable unit clauses: 0
% 0.19/38.62 % Negative unit clauses : 222
% 0.19/38.62 % Non-unit-clauses : 4715
% 0.19/38.62 % Current number of unprocessed clauses: 83657
% 0.19/38.62 % ...number of literals in the above : 315457
% 0.19/38.62 % Current number of archived formulas : 0
% 0.19/38.62 % Current number of archived clauses : 10
% 0.19/38.62 % Clause-clause subsumption calls (NU) : 3660763
% 0.19/38.62 % Rec. Clause-clause subsumption calls : 2953516
% 0.19/38.62 % Non-unit clause-clause subsumptions : 0
% 0.19/38.62 % Unit Clause-clause subsumption calls : 335202
% 0.19/38.62 % Rewrite failures with RHS unbound : 0
% 0.19/38.62 % BW rewrite match attempts : 0
% 0.19/38.62 % BW rewrite match successes : 0
% 0.19/38.62 % Condensation attempts : 0
% 0.19/38.62 % Condensation successes : 0
% 0.19/38.62 % Termbank termtop insertions : 3482422
% 0.19/38.62 % Search garbage collected termcells : 200325
% 0.19/38.62
% 0.19/38.62 % -------------------------------------------------
% 0.19/38.62 % User time : 35.221 s
% 0.19/38.62 % System time : 0.826 s
% 0.19/38.62 % Total time : 36.047 s
% 0.19/38.62 % Maximum resident set size: 193460 pages
% 0.19/38.62
% 0.19/38.62 % -------------------------------------------------
% 0.19/38.62 % User time : 58.686 s
% 0.19/38.62 % System time : 4.653 s
% 0.19/38.62 % Total time : 63.339 s
% 0.19/38.62 % Maximum resident set size: 70912 pages
% 0.19/38.62 % E exiting
%------------------------------------------------------------------------------