%------------------------------------------------------------------------------
% File : E-SAT---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 : n009.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 12:56:52 PM UTC 2026
% Result : Theorem 5.68s 3.00s
% Output : CNFRefutation 5.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_nat_bool: $tType ).
tff(decl_sort2,type,
fun_nat_fun_nat_bool: $tType ).
tff(decl_sort3,type,
nat: $tType ).
tff(decl_sort4,type,
bool: $tType ).
tff(decl_sort5,type,
vEBT_VEBT: $tType ).
tff(decl_817,type,
zero_zero_nat: nat ).
tff(decl_1113,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff(decl_1401,type,
vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).
tff(decl_1485,type,
aa_nat_bool: ( nat * fun_nat_bool ) > bool ).
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_1685,type,
summary: vEBT_VEBT ).
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_110_deg__not__0,axiom,
! [X82: vEBT_VEBT,X2: nat] :
( pp(aa_nat_bool(vEBT_invar_vebt(X82),X2))
=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_deg__not__0) ).
tff(fact_109__C3_Ohyps_C_I1_J,axiom,
pp(aa_nat_bool(vEBT_invar_vebt(summary),m)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109__C3_Ohyps_C_I1_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,
! [X15143: vEBT_VEBT,X15144: nat] :
( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X15144))
| ~ pp(aa_nat_bool(vEBT_invar_vebt(X15143),X15144)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_110_deg__not__0])])]) ).
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,
! [X82: vEBT_VEBT,X1: nat] :
( ~ pp(aa_nat_bool(vEBT_invar_vebt(X82),X1))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_8,plain,
pp(aa_nat_bool(vEBT_invar_vebt(summary),m)),
inference(split_conjunct,[status(thm)],[fact_109__C3_Ohyps_C_I1_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
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 20 22:11:58 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 5.68/3.00 % Version: 3.5.1
% 5.68/3.00 % Preprocessing class: FMLLSMLLSSSNFFN.
% 5.68/3.00 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 5.68/3.00 % Starting new_bool_3 with 897s (3) cores
% 5.68/3.00 % Starting new_bool_1 with 897s (3) cores
% 5.68/3.00 % Starting sh5l with 299s (1) cores
% 5.68/3.00 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 5.68/3.00 % new_bool_1 with pid 159728 completed with status 0
% 5.68/3.00 % Result found by new_bool_1
% 5.68/3.00 % Preprocessing class: FMLLSMLLSSSNFFN.
% 5.68/3.00 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 5.68/3.00 % Starting new_bool_3 with 897s (3) cores
% 5.68/3.00 % Starting new_bool_1 with 897s (3) cores
% 5.68/3.00 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 5.68/3.00 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.68/3.00 % Search class: FGHSM-SMLM32-DFFFFFNN
% 5.68/3.00 % Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 5.68/3.00 % Starting SubtermCWHack with 81s (1) cores
% 5.68/3.00 % Starting new_bool_1 with 90s (1) cores
% 5.68/3.00 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 5.68/3.00 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 159733 completed with status 0
% 5.68/3.00 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 5.68/3.00 % Preprocessing class: FMLLSMLLSSSNFFN.
% 5.68/3.00 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 5.68/3.00 % Starting new_bool_3 with 897s (3) cores
% 5.68/3.00 % Starting new_bool_1 with 897s (3) cores
% 5.68/3.00 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 5.68/3.00 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.68/3.00 % Search class: FGHSM-SMLM32-DFFFFFNN
% 5.68/3.00 % Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 5.68/3.00 % Starting SubtermCWHack with 81s (1) cores
% 5.68/3.00 % Starting new_bool_1 with 90s (1) cores
% 5.68/3.00 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 5.68/3.00 % Preprocessing time : 0.102 s
% 5.68/3.00
% 5.68/3.00 % Proof found!
% 5.68/3.00 % SZS status Theorem
% 5.68/3.00 % SZS output start CNFRefutation
% See solution above
% 5.68/3.00 % Parsed axioms : 12621
% 5.68/3.00 % Removed by relevancy pruning/SinE : 10372
% 5.68/3.00 % Initial clauses : 6961
% 5.68/3.00 % Removed in clause preprocessing : 1863
% 5.68/3.00 % Initial clauses in saturation : 5098
% 5.68/3.00 % Processed clauses : 126
% 5.68/3.00 % ...of these trivial : 10
% 5.68/3.00 % ...subsumed : 32
% 5.68/3.00 % ...remaining for further processing : 84
% 5.68/3.00 % Other redundant clauses eliminated : 37
% 5.68/3.00 % Clauses deleted for lack of memory : 0
% 5.68/3.00 % Backward-subsumed : 3
% 5.68/3.00 % Backward-rewritten : 2
% 5.68/3.00 % Generated clauses : 45
% 5.68/3.00 % ...of the previous two non-redundant : 38
% 5.68/3.00 % ...aggressively subsumed : 0
% 5.68/3.00 % Contextual simplify-reflections : 0
% 5.68/3.00 % Paramodulations : 8
% 5.68/3.00 % Factorizations : 0
% 5.68/3.00 % NegExts : 0
% 5.68/3.00 % Equation resolutions : 37
% 5.68/3.00 % Disequality decompositions : 0
% 5.68/3.00 % Total rewrite steps : 19
% 5.68/3.00 % ...of those cached : 8
% 5.68/3.00 % Propositional unsat checks : 0
% 5.68/3.00 % Propositional check models : 0
% 5.68/3.00 % Propositional check unsatisfiable : 0
% 5.68/3.00 % Propositional clauses : 0
% 5.68/3.00 % Propositional clauses after purity: 0
% 5.68/3.00 % Propositional unsat core size : 0
% 5.68/3.00 % Propositional preprocessing time : 0.000
% 5.68/3.00 % Propositional encoding time : 0.000
% 5.68/3.00 % Propositional solver time : 0.000
% 5.68/3.00 % Success case prop preproc time : 0.000
% 5.68/3.00 % Success case prop encoding time : 0.000
% 5.68/3.00 % Success case prop solver time : 0.000
% 5.68/3.00 % Current number of processed clauses : 42
% 5.68/3.00 % Positive orientable unit clauses : 12
% 5.68/3.00 % Positive unorientable unit clauses: 0
% 5.68/3.00 % Negative unit clauses : 22
% 5.68/3.00 % Non-unit-clauses : 8
% 5.68/3.00 % Current number of unprocessed clauses: 5010
% 5.68/3.00 % ...number of literals in the above : 22313
% 5.68/3.00 % Current number of archived formulas : 0
% 5.68/3.00 % Current number of archived clauses : 5
% 5.68/3.00 % Clause-clause subsumption calls (NU) : 44
% 5.68/3.00 % Rec. Clause-clause subsumption calls : 44
% 5.68/3.00 % Non-unit clause-clause subsumptions : 16
% 5.68/3.00 % Unit Clause-clause subsumption calls : 104
% 5.68/3.00 % Rewrite failures with RHS unbound : 0
% 5.68/3.00 % BW rewrite match attempts : 19
% 5.68/3.00 % BW rewrite match successes : 2
% 5.68/3.00 % Condensation attempts : 0
% 5.68/3.00 % Condensation successes : 0
% 5.68/3.00 % Termbank termtop insertions : 822636
% 5.68/3.00 % Search garbage collected termcells : 163683
% 5.68/3.00
% 5.68/3.00 % -------------------------------------------------
% 5.68/3.00 % User time : 1.038 s
% 5.68/3.00 % System time : 0.085 s
% 5.68/3.00 % Total time : 1.123 s
% 5.68/3.00 % Maximum resident set size: 41512 pages
% 5.68/3.00
% 5.68/3.00 % -------------------------------------------------
% 5.68/3.00 % User time : 2.556 s
% 5.68/3.00 % System time : 0.217 s
% 5.68/3.00 % Total time : 2.772 s
% 5.68/3.00 % Maximum resident set size: 27904 pages
% 5.68/3.00 % E exiting
%------------------------------------------------------------------------------