%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : CSR068+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:18:31 PM UTC 2026
% Result : Theorem 0.18s 111.67s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 12 ~; 9 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query318,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query318) ).
fof(ax5_3342125,axiom,
! [X32,X33] :
( ( genlmt(X32,X33)
& mtvisible(X32) )
=> mtvisible(X33) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+5.ax',ax5_3342125) ).
fof(ax5_455245,axiom,
! [X4] :
( ( furpelt(X4)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(X4,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+5.ax',ax5_455245) ).
fof(ax5_2456435,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+5.ax',ax5_2456435) ).
fof(ax5_2692888,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+5.ax',ax5_2692888) ).
fof(c_0_5,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(assume_negation,[status(cth)],[query318]) ).
fof(c_0_6,plain,
! [X607,X608] :
( mtvisible(X608)
| ~ genlmt(X607,X608)
| ~ mtvisible(X607) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5_3342125])])]) ).
fof(c_0_7,negated_conjecture,
( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
fof(c_0_8,plain,
! [X571] :
( tptpofobject(X571,f_tptpquantityfn_1(n_328))
| ~ furpelt(X571)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5_455245])])]) ).
cnf(c_0_9,plain,
( ~ genlmt(X1,X2)
| ~ mtvisible(X1)
| mtvisible(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(split_conjunct,[status(thm)],[ax5_2456435]) ).
cnf(c_0_11,negated_conjecture,
mtvisible(c_tptp_member2356_mt),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ furpelt(X1)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X1,f_tptpquantityfn_1(n_328)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
mtvisible(c_tptp_spindleheadmt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_14,plain,
( ~ furpelt(X1)
| tptpofobject(X1,f_tptpquantityfn_1(n_328)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).
cnf(c_0_15,plain,
furpelt(c_theprototypicalfurpelt),
inference(split_conjunct,[status(thm)],[ax5_2692888]) ).
cnf(c_0_16,negated_conjecture,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR068+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 % Computer : n018.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.41 % CPULimit : 300
% 0.10/0.41 % WCLimit : 300
% 0.10/0.41 % DateTime : Mon Sep 21 14:46:14 UTC 2026
% 0.10/0.41 % CPUTime :
% 0.10/0.41 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.45 Running first-order theorem proving
% 0.10/0.45 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
% 0.18/111.67 % Version: 3.5.1
% 0.18/111.67 % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.18/111.67 % Scheduled 4 strats onto 8 cores with 241 seconds (1928 total)
% 0.18/111.67 % Starting new_ho_10 with 482s (2) cores
% 0.18/111.67 % Starting sh3 with 482s (2) cores
% 0.18/111.67 % Starting ho_unfolding_3 with 482s (2) cores
% 0.18/111.67 % Starting new_ho_10_cnf2 with 482s (2) cores
% 0.18/111.67 % ho_unfolding_3 with pid 2150982 completed with status 0
% 0.18/111.67 % Result found by ho_unfolding_3
% 0.18/111.67 % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.18/111.67 % Scheduled 4 strats onto 8 cores with 241 seconds (1928 total)
% 0.18/111.67 % Starting new_ho_10 with 482s (2) cores
% 0.18/111.67 % Starting sh3 with 482s (2) cores
% 0.18/111.67 % Starting ho_unfolding_3 with 482s (2) cores
% 0.18/111.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/111.67 % SinE strategy is gf500_h_gu_R04_F100_L20000
% 0.18/111.67 % Search class: FHHSM-SMLM31-MFFFFFNN
% 0.18/111.67 % Scheduled 7 strats onto 2 cores with 453 seconds (453 total)
% 0.18/111.67 % Starting SubtermCWHack with 41s (1) cores
% 0.18/111.67 % Starting ho_unfolding_3 with 46s (1) cores
% 0.18/111.67 % ho_unfolding_3 with pid 2151209 completed with status 0
% 0.18/111.67 % Result found by ho_unfolding_3
% 0.18/111.67 % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.18/111.67 % Scheduled 4 strats onto 8 cores with 241 seconds (1928 total)
% 0.18/111.67 % Starting new_ho_10 with 482s (2) cores
% 0.18/111.67 % Starting sh3 with 482s (2) cores
% 0.18/111.67 % Starting ho_unfolding_3 with 482s (2) cores
% 0.18/111.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.18/111.67 % SinE strategy is gf500_h_gu_R04_F100_L20000
% 0.18/111.67 % Search class: FHHSM-SMLM31-MFFFFFNN
% 0.18/111.67 % Scheduled 7 strats onto 2 cores with 453 seconds (453 total)
% 0.18/111.67 % Starting SubtermCWHack with 41s (1) cores
% 0.18/111.67 % Starting ho_unfolding_3 with 46s (1) cores
% 0.18/111.67 % Preprocessing time : 1.565 s
% 0.18/111.67 % Presaturation interreduction done
% 0.18/111.67
% 0.18/111.67 % Proof found!
% 0.18/111.67 % SZS status Theorem
% 0.18/111.67 % SZS output start CNFRefutation
% See solution above
% 0.18/111.67 % Parsed axioms : 3341978
% 0.18/111.67 % Removed by relevancy pruning/SinE : 3321977
% 0.18/111.67 % Initial clauses : 20002
% 0.18/111.67 % Removed in clause preprocessing : 2
% 0.18/111.67 % Initial clauses in saturation : 20000
% 0.18/111.67 % Processed clauses : 26129
% 0.18/111.67 % ...of these trivial : 2453
% 0.18/111.67 % ...subsumed : 183
% 0.18/111.67 % ...remaining for further processing : 23493
% 0.18/111.67 % Other redundant clauses eliminated : 1
% 0.18/111.67 % Clauses deleted for lack of memory : 0
% 0.18/111.67 % Backward-subsumed : 3
% 0.18/111.67 % Backward-rewritten : 112
% 0.18/111.67 % Generated clauses : 5229
% 0.18/111.67 % ...of the previous two non-redundant : 4034
% 0.18/111.67 % ...aggressively subsumed : 0
% 0.18/111.67 % Contextual simplify-reflections : 0
% 0.18/111.67 % Paramodulations : 5228
% 0.18/111.67 % Factorizations : 0
% 0.18/111.67 % NegExts : 0
% 0.18/111.67 % Equation resolutions : 1
% 0.18/111.67 % Disequality decompositions : 0
% 0.18/111.67 % Total rewrite steps : 3719
% 0.18/111.67 % ...of those cached : 1183
% 0.18/111.67 % Propositional unsat checks : 0
% 0.18/111.67 % Propositional check models : 0
% 0.18/111.67 % Propositional check unsatisfiable : 0
% 0.18/111.67 % Propositional clauses : 0
% 0.18/111.67 % Propositional clauses after purity: 0
% 0.18/111.67 % Propositional unsat core size : 0
% 0.18/111.67 % Propositional preprocessing time : 0.000
% 0.18/111.67 % Propositional encoding time : 0.000
% 0.18/111.67 % Propositional solver time : 0.000
% 0.18/111.67 % Success case prop preproc time : 0.000
% 0.18/111.67 % Success case prop encoding time : 0.000
% 0.18/111.67 % Success case prop solver time : 0.000
% 0.18/111.67 % Current number of processed clauses : 5870
% 0.18/111.67 % Positive orientable unit clauses : 3192
% 0.18/111.67 % Positive unorientable unit clauses: 0
% 0.18/111.67 % Negative unit clauses : 1139
% 0.18/111.67 % Non-unit-clauses : 1539
% 0.18/111.67 % Current number of unprocessed clauses: 15405
% 0.18/111.67 % ...number of literals in the above : 24355
% 0.18/111.67 % Current number of archived formulas : 0
% 0.18/111.67 % Current number of archived clauses : 17622
% 0.18/111.67 % Clause-clause subsumption calls (NU) : 4145012
% 0.18/111.67 % Rec. Clause-clause subsumption calls : 3717907
% 0.18/111.67 % Non-unit clause-clause subsumptions : 154
% 0.18/111.67 % Unit Clause-clause subsumption calls : 1247039
% 0.18/111.67 % Rewrite failures with RHS unbound : 0
% 0.18/111.67 % BW rewrite match attempts : 22979
% 0.18/111.67 % BW rewrite match successes : 74
% 0.18/111.67 % Condensation attempts : 26132
% 0.18/111.67 % Condensation successes : 0
% 0.18/111.67 % Termbank termtop insertions : 22794382
% 0.18/111.67 % Search garbage collected termcells : 10463071
% 0.18/111.67
% 0.18/111.67 % -------------------------------------------------
% 0.18/111.67 % User time : 32.132 s
% 0.18/111.67 % System time : 10.226 s
% 0.18/111.67 % Total time : 42.358 s
% 0.18/111.67 % Maximum resident set size: 5024656 pages
% 0.18/111.67
% 0.18/111.67 % -------------------------------------------------
% 0.18/111.67 % User time : 98.539 s
% 0.18/111.67 % System time : 16.379 s
% 0.18/111.67 % Total time : 114.918 s
% 0.18/111.67 % Maximum resident set size: 2273280 pages
% 0.18/111.67 % E exiting
%------------------------------------------------------------------------------