%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP224_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 : ContradictoryAxioms 0.18s 3.81s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-4 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_nat_bool: $tType ).
tff(decl_sort2,type,
fun_nat_fun_nat_bool: $tType ).
tff(decl_sort3,type,
list_VEBT_VEBT: $tType ).
tff(decl_sort4,type,
nat: $tType ).
tff(decl_sort5,type,
bool: $tType ).
tff(decl_sort6,type,
vEBT_VEBT: $tType ).
tff(decl_sort7,type,
option4927543243414619207at_nat: $tType ).
tff(decl_892,type,
zero_zero_nat: nat ).
tff(decl_1154,type,
none_P5556105721700978146at_nat: option4927543243414619207at_nat ).
tff(decl_1171,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff(decl_1428,type,
vEBT_Node: ( vEBT_VEBT * ( list_VEBT_VEBT * ( nat * option4927543243414619207at_nat ) ) ) > vEBT_VEBT ).
tff(decl_1440,type,
vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).
tff(decl_1520,type,
aa_nat_bool: ( nat * fun_nat_bool ) > bool ).
tff(decl_1540,type,
aa_nat_fun_nat_bool: ( nat * fun_nat_fun_nat_bool ) > fun_nat_bool ).
tff(decl_1739,type,
pp: bool > $o ).
tff(decl_1740,type,
deg: nat ).
tff(decl_1741,type,
info: option4927543243414619207at_nat ).
tff(decl_1745,type,
summary: vEBT_VEBT ).
tff(decl_1747,type,
treeList: list_VEBT_VEBT ).
tff(fact_482_deg__not__0,axiom,
! [X671: vEBT_VEBT,X24: nat] :
( pp(aa_nat_bool(vEBT_invar_vebt(X671),X24))
=> pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_482_deg__not__0) ).
tff(fact_607_less__irrefl__nat,axiom,
! [X24: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X24),X24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_607_less__irrefl__nat) ).
tff(conj_1,hypothesis,
zero_zero_nat = deg,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(fact_6_Node_Oprems,axiom,
pp(aa_nat_bool(vEBT_invar_vebt(vEBT_Node(info,deg,treeList,summary)),zero_zero_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_Node_Oprems) ).
tff(conj_0,hypothesis,
info = none_P5556105721700978146at_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(c_0_5,plain,
! [X15560: vEBT_VEBT,X15561: nat] :
( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X15561))
| ~ pp(aa_nat_bool(vEBT_invar_vebt(X15560),X15561)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_482_deg__not__0])])]) ).
tff(c_0_6,plain,
! [X24: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X24),X24)),
inference(fof_simplification,[status(thm)],[fact_607_less__irrefl__nat]) ).
tcf(c_0_7,plain,
! [X1: vEBT_VEBT,X3: nat] :
( ~ pp(aa_nat_bool(vEBT_invar_vebt(X1),X3))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,zero_zero_nat),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_8,hypothesis,
zero_zero_nat = deg,
inference(split_conjunct,[status(thm)],[conj_1]) ).
tcf(c_0_9,plain,
pp(aa_nat_bool(vEBT_invar_vebt(vEBT_Node(info,deg,treeList,summary)),zero_zero_nat)),
inference(split_conjunct,[status(thm)],[fact_6_Node_Oprems]) ).
tcf(c_0_10,hypothesis,
info = none_P5556105721700978146at_nat,
inference(split_conjunct,[status(thm)],[conj_0]) ).
tff(c_0_11,plain,
! [X17063: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X17063),X17063)),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_6])]) ).
tcf(c_0_12,plain,
! [X1: vEBT_VEBT,X3: nat] :
( ~ pp(aa_nat_bool(vEBT_invar_vebt(X1),X3))
| pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,deg),X3)) ),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
tcf(c_0_13,plain,
pp(aa_nat_bool(vEBT_invar_vebt(vEBT_Node(none_P5556105721700978146at_nat,deg,treeList,summary)),deg)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_8]) ).
tcf(c_0_14,plain,
! [X3: nat] : ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),X3)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP224_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 22:11:36 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 0.18/3.81 % Version: 3.5.1
% 0.18/3.81 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.18/3.81 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 0.18/3.81 % Starting new_bool_3 with 897s (3) cores
% 0.18/3.81 % Starting new_bool_1 with 897s (3) cores
% 0.18/3.81 % Starting sh5l with 299s (1) cores
% 0.18/3.81 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 0.18/3.81 % new_bool_3 with pid 1018048 completed with status 0
% 0.18/3.81 % Result found by new_bool_3
% 0.18/3.81 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.18/3.81 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 0.18/3.81 % Starting new_bool_3 with 897s (3) cores
% 0.18/3.81 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/3.81 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/3.81 % Search class: FGHSM-SMLM32-DFFFFFNN
% 0.18/3.81 % Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 0.18/3.81 % Starting SubtermCWHack with 81s (1) cores
% 0.18/3.81 % Starting new_bool_3 with 90s (1) cores
% 0.18/3.81 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 0.18/3.81 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 1018054 completed with status 0
% 0.18/3.81 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 0.18/3.81 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.18/3.81 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 0.18/3.81 % Starting new_bool_3 with 897s (3) cores
% 0.18/3.81 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/3.81 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/3.81 % Search class: FGHSM-SMLM32-DFFFFFNN
% 0.18/3.81 % Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 0.18/3.81 % Starting SubtermCWHack with 81s (1) cores
% 0.18/3.81 % Starting new_bool_3 with 90s (1) cores
% 0.18/3.81 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 0.18/3.81 % Preprocessing time : 0.125 s
% 0.18/3.81
% 0.18/3.81 % Proof found!
% 0.18/3.81 % SZS status ContradictoryAxioms
% 0.18/3.81 % SZS output start CNFRefutation
% See solution above
% 0.18/3.81 % Parsed axioms : 12950
% 0.18/3.81 % Removed by relevancy pruning/SinE : 9013
% 0.18/3.81 % Initial clauses : 8160
% 0.18/3.81 % Removed in clause preprocessing : 350
% 0.18/3.81 % Initial clauses in saturation : 7810
% 0.18/3.81 % Processed clauses : 1002
% 0.18/3.81 % ...of these trivial : 97
% 0.18/3.81 % ...subsumed : 163
% 0.18/3.81 % ...remaining for further processing : 742
% 0.18/3.81 % Other redundant clauses eliminated : 260
% 0.18/3.81 % Clauses deleted for lack of memory : 0
% 0.18/3.81 % Backward-subsumed : 9
% 0.18/3.81 % Backward-rewritten : 13
% 0.18/3.81 % Generated clauses : 1231
% 0.18/3.81 % ...of the previous two non-redundant : 753
% 0.18/3.81 % ...aggressively subsumed : 0
% 0.18/3.81 % Contextual simplify-reflections : 0
% 0.18/3.81 % Paramodulations : 963
% 0.18/3.81 % Factorizations : 2
% 0.18/3.81 % NegExts : 0
% 0.18/3.81 % Equation resolutions : 278
% 0.18/3.81 % Disequality decompositions : 0
% 0.18/3.81 % Total rewrite steps : 978
% 0.18/3.81 % ...of those cached : 791
% 0.18/3.81 % Propositional unsat checks : 0
% 0.18/3.81 % Propositional check models : 0
% 0.18/3.81 % Propositional check unsatisfiable : 0
% 0.18/3.81 % Propositional clauses : 0
% 0.18/3.81 % Propositional clauses after purity: 0
% 0.18/3.81 % Propositional unsat core size : 0
% 0.18/3.81 % Propositional preprocessing time : 0.000
% 0.18/3.81 % Propositional encoding time : 0.000
% 0.18/3.81 % Propositional solver time : 0.000
% 0.18/3.81 % Success case prop preproc time : 0.000
% 0.18/3.81 % Success case prop encoding time : 0.000
% 0.18/3.81 % Success case prop solver time : 0.000
% 0.18/3.81 % Current number of processed clauses : 496
% 0.18/3.81 % Positive orientable unit clauses : 166
% 0.18/3.81 % Positive unorientable unit clauses: 0
% 0.18/3.81 % Negative unit clauses : 123
% 0.18/3.81 % Non-unit-clauses : 207
% 0.18/3.81 % Current number of unprocessed clauses: 7556
% 0.18/3.81 % ...number of literals in the above : 27602
% 0.18/3.81 % Current number of archived formulas : 0
% 0.18/3.81 % Current number of archived clauses : 22
% 0.18/3.81 % Clause-clause subsumption calls (NU) : 15826
% 0.18/3.81 % Rec. Clause-clause subsumption calls : 9843
% 0.18/3.81 % Non-unit clause-clause subsumptions : 133
% 0.18/3.81 % Unit Clause-clause subsumption calls : 1205
% 0.18/3.81 % Rewrite failures with RHS unbound : 0
% 0.18/3.81 % BW rewrite match attempts : 418
% 0.18/3.81 % BW rewrite match successes : 13
% 0.18/3.81 % Condensation attempts : 0
% 0.18/3.81 % Condensation successes : 0
% 0.18/3.81 % Termbank termtop insertions : 970543
% 0.18/3.81 % Search garbage collected termcells : 171119
% 0.18/3.81
% 0.18/3.81 % -------------------------------------------------
% 0.18/3.81 % User time : 1.671 s
% 0.18/3.81 % System time : 0.108 s
% 0.18/3.81 % Total time : 1.779 s
% 0.18/3.81 % Maximum resident set size: 47540 pages
% 0.18/3.81
% 0.18/3.81 % -------------------------------------------------
% 0.18/3.81 % User time : 3.410 s
% 0.18/3.81 % System time : 0.267 s
% 0.18/3.81 % Total time : 3.677 s
% 0.18/3.81 % Maximum resident set size: 29440 pages
% 0.18/3.81 % E exiting
%------------------------------------------------------------------------------