%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP225_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:54:42 PM UTC 2026
% Result : Theorem 5.54s 3.04s
% Output : CNFRefutation 5.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_nat_bool: $tType ).
tff(decl_sort2,type,
fun_nat_fun_nat_bool: $tType ).
tff(decl_sort3,type,
fun_nat_nat: $tType ).
tff(decl_sort4,type,
nat: $tType ).
tff(decl_sort5,type,
bool: $tType ).
tff(decl_817,type,
zero_zero_nat: nat ).
tff(decl_1005,type,
suc: fun_nat_nat ).
tff(decl_1113,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff(decl_1485,type,
aa_nat_bool: ( nat * fun_nat_bool ) > bool ).
tff(decl_1488,type,
aa_nat_nat: ( nat * fun_nat_nat ) > nat ).
tff(decl_1506,type,
aa_nat_fun_nat_bool: ( nat * fun_nat_fun_nat_bool ) > fun_nat_bool ).
tff(decl_1681,type,
pp: bool > $o ).
tff(decl_1683,type,
m: nat ).
tff(decl_1684,type,
na: nat ).
tff(conj_0,conjecture,
pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),m)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(fact_16_zero__less__Suc,axiom,
! [X2: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),aa_nat_nat(suc,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_zero__less__Suc) ).
tff(fact_4__C3_Ohyps_C_I3_J,axiom,
m = aa_nat_nat(suc,na),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4__C3_Ohyps_C_I3_J) ).
tff(c_0_3,negated_conjecture,
~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),m)),
inference(assume_negation,[status(cth)],[conj_0]) ).
tff(c_0_4,negated_conjecture,
~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),m)),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
tff(c_0_5,plain,
! [X14703: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),aa_nat_nat(suc,X14703))),
inference(variable_rename,[status(thm)],[fact_16_zero__less__Suc]) ).
tff(c_0_6,negated_conjecture,
~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),m)),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
tcf(c_0_7,plain,
! [X1: nat] : pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),aa_nat_nat(suc,X1))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_8,plain,
m = aa_nat_nat(suc,na),
inference(split_conjunct,[status(thm)],[fact_4__C3_Ohyps_C_I3_J]) ).
tcf(c_0_9,negated_conjecture,
~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),m)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP225_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n017.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 20 22:07:12 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 5.54/3.04 % Version: 3.5.1
% 5.54/3.04 % Preprocessing class: FMLLSMLLSSSNFFN.
% 5.54/3.04 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 5.54/3.04 % Starting new_bool_3 with 897s (3) cores
% 5.54/3.04 % Starting new_bool_1 with 897s (3) cores
% 5.54/3.04 % Starting sh5l with 299s (1) cores
% 5.54/3.04 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 5.54/3.04 % new_bool_1 with pid 738080 completed with status 0
% 5.54/3.04 % Result found by new_bool_1
% 5.54/3.04 % Preprocessing class: FMLLSMLLSSSNFFN.
% 5.54/3.04 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 5.54/3.04 % Starting new_bool_3 with 897s (3) cores
% 5.54/3.04 % Starting new_bool_1 with 897s (3) cores
% 5.54/3.04 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 5.54/3.04 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.54/3.04 % Search class: FGHSM-SMLM32-DFFFFFNN
% 5.54/3.04 % Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 5.54/3.04 % Starting SubtermCWHack with 81s (1) cores
% 5.54/3.04 % Starting new_bool_1 with 90s (1) cores
% 5.54/3.04 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 5.54/3.04 % SubtermCWHack with pid 738085 completed with status 0
% 5.54/3.04 % Result found by SubtermCWHack
% 5.54/3.04 % Preprocessing class: FMLLSMLLSSSNFFN.
% 5.54/3.04 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 5.54/3.04 % Starting new_bool_3 with 897s (3) cores
% 5.54/3.04 % Starting new_bool_1 with 897s (3) cores
% 5.54/3.04 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 5.54/3.04 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.54/3.04 % Search class: FGHSM-SMLM32-DFFFFFNN
% 5.54/3.04 % Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 5.54/3.04 % Starting SubtermCWHack with 81s (1) cores
% 5.54/3.04 % Preprocessing time : 0.083 s
% 5.54/3.04
% 5.54/3.04 % Proof found!
% 5.54/3.04 % SZS status Theorem
% 5.54/3.04 % SZS output start CNFRefutation
% See solution above
% 5.54/3.04 % Parsed axioms : 12621
% 5.54/3.04 % Removed by relevancy pruning/SinE : 10372
% 5.54/3.04 % Initial clauses : 6961
% 5.54/3.04 % Removed in clause preprocessing : 1863
% 5.54/3.04 % Initial clauses in saturation : 5098
% 5.54/3.04 % Processed clauses : 288
% 5.54/3.04 % ...of these trivial : 56
% 5.54/3.04 % ...subsumed : 49
% 5.54/3.04 % ...remaining for further processing : 183
% 5.54/3.04 % Other redundant clauses eliminated : 27
% 5.54/3.04 % Clauses deleted for lack of memory : 0
% 5.54/3.04 % Backward-subsumed : 7
% 5.54/3.04 % Backward-rewritten : 5
% 5.54/3.04 % Generated clauses : 87
% 5.54/3.04 % ...of the previous two non-redundant : 38
% 5.54/3.04 % ...aggressively subsumed : 0
% 5.54/3.04 % Contextual simplify-reflections : 0
% 5.54/3.04 % Paramodulations : 60
% 5.54/3.04 % Factorizations : 0
% 5.54/3.04 % NegExts : 0
% 5.54/3.04 % Equation resolutions : 27
% 5.54/3.04 % Disequality decompositions : 0
% 5.54/3.04 % Total rewrite steps : 110
% 5.54/3.04 % ...of those cached : 52
% 5.54/3.04 % Propositional unsat checks : 0
% 5.54/3.04 % Propositional check models : 0
% 5.54/3.04 % Propositional check unsatisfiable : 0
% 5.54/3.04 % Propositional clauses : 0
% 5.54/3.04 % Propositional clauses after purity: 0
% 5.54/3.04 % Propositional unsat core size : 0
% 5.54/3.04 % Propositional preprocessing time : 0.000
% 5.54/3.04 % Propositional encoding time : 0.000
% 5.54/3.04 % Propositional solver time : 0.000
% 5.54/3.04 % Success case prop preproc time : 0.000
% 5.54/3.04 % Success case prop encoding time : 0.000
% 5.54/3.04 % Success case prop solver time : 0.000
% 5.54/3.04 % Current number of processed clauses : 146
% 5.54/3.04 % Positive orientable unit clauses : 87
% 5.54/3.04 % Positive unorientable unit clauses: 0
% 5.54/3.04 % Negative unit clauses : 38
% 5.54/3.04 % Non-unit-clauses : 21
% 5.54/3.04 % Current number of unprocessed clauses: 4846
% 5.54/3.04 % ...number of literals in the above : 22166
% 5.54/3.04 % Current number of archived formulas : 0
% 5.54/3.04 % Current number of archived clauses : 12
% 5.54/3.04 % Clause-clause subsumption calls (NU) : 164
% 5.54/3.04 % Rec. Clause-clause subsumption calls : 140
% 5.54/3.04 % Non-unit clause-clause subsumptions : 11
% 5.54/3.04 % Unit Clause-clause subsumption calls : 155
% 5.54/3.04 % Rewrite failures with RHS unbound : 0
% 5.54/3.04 % BW rewrite match attempts : 65
% 5.54/3.04 % BW rewrite match successes : 5
% 5.54/3.04 % Condensation attempts : 0
% 5.54/3.04 % Condensation successes : 0
% 5.54/3.04 % Termbank termtop insertions : 823510
% 5.54/3.04 % Search garbage collected termcells : 163683
% 5.54/3.04
% 5.54/3.04 % -------------------------------------------------
% 5.54/3.04 % User time : 1.055 s
% 5.54/3.04 % System time : 0.106 s
% 5.54/3.04 % Total time : 1.161 s
% 5.54/3.04 % Maximum resident set size: 41512 pages
% 5.54/3.04
% 5.54/3.04 % -------------------------------------------------
% 5.54/3.04 % User time : 2.556 s
% 5.54/3.04 % System time : 0.215 s
% 5.54/3.04 % Total time : 2.771 s
% 5.54/3.04 % Maximum resident set size: 27648 pages
% 5.54/3.04 % E exiting
%------------------------------------------------------------------------------