%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR068+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:16:29 PM UTC 2026
% Result : Theorem 10.25s 10.25s
% Output : CNFRefutation 10.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 12 ~; 8 |; 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 : 9 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query268,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query268) ).
fof(ax4_116580,axiom,
! [X7] :
( ( furpelt(X7)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(X7,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_116580) ).
fof(ax4_540220,axiom,
! [X28,X29] :
( ( genlmt(X28,X29)
& mtvisible(X28) )
=> mtvisible(X29) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_540220) ).
fof(ax4_137436,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_137436) ).
fof(ax4_35088,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_35088) ).
fof(c_0_5,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(assume_negation,[status(cth)],[query268]) ).
fof(c_0_6,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_7,plain,
! [X33] :
( tptpofobject(X33,f_tptpquantityfn_1(n_328))
| ~ furpelt(X33)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_116580])])]) ).
fof(c_0_8,plain,
! [X166,X167] :
( mtvisible(X167)
| ~ genlmt(X166,X167)
| ~ mtvisible(X166) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_540220])])]) ).
cnf(c_0_9,negated_conjecture,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ furpelt(X1)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X1,f_tptpquantityfn_1(n_328)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
furpelt(c_theprototypicalfurpelt),
inference(split_conjunct,[status(thm)],[ax4_137436]) ).
cnf(c_0_12,plain,
( ~ genlmt(X1,X2)
| ~ mtvisible(X1)
| mtvisible(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(split_conjunct,[status(thm)],[ax4_35088]) ).
cnf(c_0_14,negated_conjecture,
mtvisible(c_tptp_member2356_mt),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
~ 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_16,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR068+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 14:43:52 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 10.25/10.25 % Version: 3.5.1
% 10.25/10.25 % Preprocessing class: FLLLLMLLSSSNFFN.
% 10.25/10.25 % Scheduled 4 strats onto 8 cores with 294 seconds (2352 total)
% 10.25/10.25 % Starting new_ho_10 with 588s (2) cores
% 10.25/10.25 % Starting sh3 with 588s (2) cores
% 10.25/10.25 % Starting ho_unfolding_3 with 588s (2) cores
% 10.25/10.25 % Starting new_ho_10_cnf2 with 588s (2) cores
% 10.25/10.25 % new_ho_10 with pid 2585907 completed with status 0
% 10.25/10.25 % Result found by new_ho_10
% 10.25/10.25 % Preprocessing class: FLLLLMLLSSSNFFN.
% 10.25/10.25 % Scheduled 4 strats onto 8 cores with 294 seconds (2352 total)
% 10.25/10.25 % Starting new_ho_10 with 588s (2) cores
% 10.25/10.25 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.25/10.25 % SinE strategy is gf500_h_gu_R04_F100_L20000
% 10.25/10.25 % Search class: FHHSM-SSLM31-MFFFFFNN
% 10.25/10.25 % partial match(1): FHHNM-SSLM31-MFFFFFNN
% 10.25/10.25 % Scheduled 7 strats onto 2 cores with 586 seconds (586 total)
% 10.25/10.25 % Starting SubtermCWHack with 53s (1) cores
% 10.25/10.25 % Starting new_ho_10 with 59s (1) cores
% 10.25/10.25 % SubtermCWHack with pid 2585913 completed with status 0
% 10.25/10.25 % Result found by SubtermCWHack
% 10.25/10.25 % Preprocessing class: FLLLLMLLSSSNFFN.
% 10.25/10.25 % Scheduled 4 strats onto 8 cores with 294 seconds (2352 total)
% 10.25/10.25 % Starting new_ho_10 with 588s (2) cores
% 10.25/10.25 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.25/10.25 % SinE strategy is gf500_h_gu_R04_F100_L20000
% 10.25/10.25 % Search class: FHHSM-SSLM31-MFFFFFNN
% 10.25/10.25 % partial match(1): FHHNM-SSLM31-MFFFFFNN
% 10.25/10.25 % Scheduled 7 strats onto 2 cores with 586 seconds (586 total)
% 10.25/10.25 % Starting SubtermCWHack with 53s (1) cores
% 10.25/10.25 % Preprocessing time : 0.249 s
% 10.25/10.25
% 10.25/10.25 % Proof found!
% 10.25/10.25 % SZS status Theorem
% 10.25/10.25 % SZS output start CNFRefutation
% See solution above
% 10.25/10.25 % Parsed axioms : 540250
% 10.25/10.25 % Removed by relevancy pruning/SinE : 538163
% 10.25/10.25 % Initial clauses : 2088
% 10.25/10.25 % Removed in clause preprocessing : 2
% 10.25/10.25 % Initial clauses in saturation : 2086
% 10.25/10.25 % Processed clauses : 1309
% 10.25/10.25 % ...of these trivial : 142
% 10.25/10.25 % ...subsumed : 19
% 10.25/10.25 % ...remaining for further processing : 1148
% 10.25/10.25 % Other redundant clauses eliminated : 1
% 10.25/10.25 % Clauses deleted for lack of memory : 0
% 10.25/10.25 % Backward-subsumed : 17
% 10.25/10.25 % Backward-rewritten : 48
% 10.25/10.25 % Generated clauses : 1304
% 10.25/10.25 % ...of the previous two non-redundant : 880
% 10.25/10.25 % ...aggressively subsumed : 0
% 10.25/10.25 % Contextual simplify-reflections : 0
% 10.25/10.25 % Paramodulations : 1303
% 10.25/10.25 % Factorizations : 0
% 10.25/10.25 % NegExts : 0
% 10.25/10.25 % Equation resolutions : 1
% 10.25/10.25 % Disequality decompositions : 0
% 10.25/10.25 % Total rewrite steps : 532
% 10.25/10.25 % ...of those cached : 359
% 10.25/10.25 % Propositional unsat checks : 0
% 10.25/10.25 % Propositional check models : 0
% 10.25/10.25 % Propositional check unsatisfiable : 0
% 10.25/10.25 % Propositional clauses : 0
% 10.25/10.25 % Propositional clauses after purity: 0
% 10.25/10.25 % Propositional unsat core size : 0
% 10.25/10.25 % Propositional preprocessing time : 0.000
% 10.25/10.25 % Propositional encoding time : 0.000
% 10.25/10.25 % Propositional solver time : 0.000
% 10.25/10.25 % Success case prop preproc time : 0.000
% 10.25/10.25 % Success case prop encoding time : 0.000
% 10.25/10.25 % Success case prop solver time : 0.000
% 10.25/10.25 % Current number of processed clauses : 1082
% 10.25/10.25 % Positive orientable unit clauses : 688
% 10.25/10.25 % Positive unorientable unit clauses: 0
% 10.25/10.25 % Negative unit clauses : 238
% 10.25/10.25 % Non-unit-clauses : 156
% 10.25/10.25 % Current number of unprocessed clauses: 1639
% 10.25/10.25 % ...number of literals in the above : 1828
% 10.25/10.25 % Current number of archived formulas : 0
% 10.25/10.25 % Current number of archived clauses : 65
% 10.25/10.25 % Clause-clause subsumption calls (NU) : 5400
% 10.25/10.25 % Rec. Clause-clause subsumption calls : 4935
% 10.25/10.25 % Non-unit clause-clause subsumptions : 17
% 10.25/10.25 % Unit Clause-clause subsumption calls : 29193
% 10.25/10.25 % Rewrite failures with RHS unbound : 0
% 10.25/10.25 % BW rewrite match attempts : 98
% 10.25/10.25 % BW rewrite match successes : 49
% 10.25/10.25 % Condensation attempts : 0
% 10.25/10.25 % Condensation successes : 0
% 10.25/10.25 % Termbank termtop insertions : 3744926
% 10.25/10.25 % Search garbage collected termcells : 2169797
% 10.25/10.25
% 10.25/10.25 % -------------------------------------------------
% 10.25/10.25 % User time : 2.182 s
% 10.25/10.25 % System time : 0.978 s
% 10.25/10.25 % Total time : 3.161 s
% 10.25/10.25 % Maximum resident set size: 1242144 pages
% 10.25/10.25
% 10.25/10.25 % -------------------------------------------------
% 10.25/10.25 % User time : 8.630 s
% 10.25/10.25 % System time : 1.575 s
% 10.25/10.25 % Total time : 10.205 s
% 10.25/10.25 % Maximum resident set size: 456704 pages
% 10.25/10.25 % E exiting
%------------------------------------------------------------------------------