%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP236_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 : 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 12:54:49 PM UTC 2026
% Result : Theorem 2.65s 1.91s
% Output : CNFRefutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 7 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 4 !; 1 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
nat: $tType ).
tff(decl_sort2,type,
fun_nat_bool: $tType ).
tff(decl_sort3,type,
list_VEBT_VEBT: $tType ).
tff(decl_sort4,type,
bool: $tType ).
tff(decl_sort5,type,
fun_VE3763956218935105199t_bool: $tType ).
tff(decl_sort6,type,
vEBT_VEBT: $tType ).
tff(decl_1193,type,
nth_VEBT_VEBT: ( nat * list_VEBT_VEBT ) > vEBT_VEBT ).
tff(decl_1729,type,
vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).
tff(decl_1861,type,
aa_nat_bool: ( nat * fun_nat_bool ) > bool ).
tff(decl_2024,type,
aa_VEB4832260192069861672t_bool: ( vEBT_VEBT * fun_VE3763956218935105199t_bool ) > fun_nat_bool ).
tff(decl_2303,type,
pp: bool > $o ).
tff(decl_2307,type,
maxs: nat ).
tff(decl_2311,type,
thesis: $o ).
tff(decl_2312,type,
treeList: list_VEBT_VEBT ).
tff(decl_2355,type,
esk38_0: nat ).
fof(conj_1,conjecture,
thesis,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(conj_0,hypothesis,
! [X19779: nat] :
( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X19779))
=> thesis ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062,axiom,
? [X1: nat] : pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062) ).
fof(c_0_3,negated_conjecture,
~ thesis,
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_4,negated_conjecture,
~ thesis,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
tff(c_0_5,hypothesis,
! [X19780: nat] :
( thesis
| ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X19780)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])]) ).
fof(c_0_6,negated_conjecture,
~ thesis,
inference(fof_nnf,[status(thm)],[c_0_4]) ).
tff(c_0_7,plain,
pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),esk38_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062])]) ).
tcf(c_0_8,hypothesis,
! [X1: nat] :
( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X1))
| thesis ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
~ thesis,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_10,plain,
pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),esk38_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_11,hypothesis,
! [X1: nat] : ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X1)),
inference(sr,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
$false,
inference(sr,[status(thm)],[c_0_10,c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP236_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.03 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.32 % Computer : n012.cluster.edu
% 0.05/0.32 % Model : x86_64 x86_64
% 0.05/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.32 % Memory : 8046.5625MB
% 0.05/0.32 % OS : Linux 6.8.0-71-generic
% 0.05/0.32 % CPULimit : 300
% 0.05/0.32 % WCLimit : 300
% 0.05/0.32 % DateTime : Sun Sep 20 22:14:24 UTC 2026
% 0.05/0.32 % CPUTime :
% 0.05/0.32 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 Running first-order theorem proving
% 0.07/0.34 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
% 2.65/1.91 % Version: 3.5.1
% 2.65/1.91 % Preprocessing class: FMLLSMLLSSSNFFN.
% 2.65/1.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.65/1.91 % Starting new_bool_3 with 900s (3) cores
% 2.65/1.91 % Starting new_bool_1 with 900s (3) cores
% 2.65/1.91 % Starting sh5l with 300s (1) cores
% 2.65/1.91 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 2.65/1.91 % new_bool_1 with pid 963527 completed with status 0
% 2.65/1.91 % Result found by new_bool_1
% 2.65/1.91 % Preprocessing class: FMLLSMLLSSSNFFN.
% 2.65/1.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.65/1.91 % Starting new_bool_3 with 900s (3) cores
% 2.65/1.91 % Starting new_bool_1 with 900s (3) cores
% 2.65/1.91 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.65/1.91 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.65/1.91 % Search class: FGHSM-SMLM32-DFFFFFNN
% 2.65/1.91 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 2.65/1.91 % Starting SubtermCWHack with 82s (1) cores
% 2.65/1.91 % Starting new_bool_1 with 91s (1) cores
% 2.65/1.91 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 2.65/1.91 % SubtermCWHack with pid 963533 completed with status 0
% 2.65/1.91 % Result found by SubtermCWHack
% 2.65/1.91 % Preprocessing class: FMLLSMLLSSSNFFN.
% 2.65/1.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.65/1.91 % Starting new_bool_3 with 900s (3) cores
% 2.65/1.91 % Starting new_bool_1 with 900s (3) cores
% 2.65/1.91 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.65/1.91 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.65/1.91 % Search class: FGHSM-SMLM32-DFFFFFNN
% 2.65/1.91 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 2.65/1.91 % Starting SubtermCWHack with 82s (1) cores
% 2.65/1.91 % Preprocessing time : 0.082 s
% 2.65/1.91
% 2.65/1.91 % Proof found!
% 2.65/1.91 % SZS status Theorem
% 2.65/1.91 % SZS output start CNFRefutation
% See solution above
% 2.65/1.91 % Parsed axioms : 13486
% 2.65/1.91 % Removed by relevancy pruning/SinE : 11346
% 2.65/1.91 % Initial clauses : 6943
% 2.65/1.91 % Removed in clause preprocessing : 1808
% 2.65/1.91 % Initial clauses in saturation : 5135
% 2.65/1.91 % Processed clauses : 631
% 2.65/1.91 % ...of these trivial : 50
% 2.65/1.91 % ...subsumed : 175
% 2.65/1.91 % ...remaining for further processing : 406
% 2.65/1.91 % Other redundant clauses eliminated : 156
% 2.65/1.91 % Clauses deleted for lack of memory : 0
% 2.65/1.91 % Backward-subsumed : 8
% 2.65/1.91 % Backward-rewritten : 12
% 2.65/1.91 % Generated clauses : 401
% 2.65/1.91 % ...of the previous two non-redundant : 244
% 2.65/1.91 % ...aggressively subsumed : 0
% 2.65/1.91 % Contextual simplify-reflections : 0
% 2.65/1.91 % Paramodulations : 242
% 2.65/1.91 % Factorizations : 0
% 2.65/1.91 % NegExts : 0
% 2.65/1.91 % Equation resolutions : 159
% 2.65/1.91 % Disequality decompositions : 0
% 2.65/1.91 % Total rewrite steps : 197
% 2.65/1.91 % ...of those cached : 114
% 2.65/1.91 % Propositional unsat checks : 0
% 2.65/1.91 % Propositional check models : 0
% 2.65/1.91 % Propositional check unsatisfiable : 0
% 2.65/1.91 % Propositional clauses : 0
% 2.65/1.91 % Propositional clauses after purity: 0
% 2.65/1.91 % Propositional unsat core size : 0
% 2.65/1.91 % Propositional preprocessing time : 0.000
% 2.65/1.91 % Propositional encoding time : 0.000
% 2.65/1.91 % Propositional solver time : 0.000
% 2.65/1.91 % Success case prop preproc time : 0.000
% 2.65/1.91 % Success case prop encoding time : 0.000
% 2.65/1.91 % Success case prop solver time : 0.000
% 2.65/1.91 % Current number of processed clauses : 246
% 2.65/1.91 % Positive orientable unit clauses : 129
% 2.65/1.91 % Positive unorientable unit clauses: 0
% 2.65/1.91 % Negative unit clauses : 55
% 2.65/1.91 % Non-unit-clauses : 62
% 2.65/1.91 % Current number of unprocessed clauses: 4748
% 2.65/1.91 % ...number of literals in the above : 22604
% 2.65/1.91 % Current number of archived formulas : 0
% 2.65/1.91 % Current number of archived clauses : 21
% 2.65/1.91 % Clause-clause subsumption calls (NU) : 2967
% 2.65/1.91 % Rec. Clause-clause subsumption calls : 2843
% 2.65/1.91 % Non-unit clause-clause subsumptions : 55
% 2.65/1.91 % Unit Clause-clause subsumption calls : 256
% 2.65/1.91 % Rewrite failures with RHS unbound : 0
% 2.65/1.91 % BW rewrite match attempts : 181
% 2.65/1.91 % BW rewrite match successes : 12
% 2.65/1.91 % Condensation attempts : 0
% 2.65/1.91 % Condensation successes : 0
% 2.65/1.91 % Termbank termtop insertions : 850154
% 2.65/1.91 % Search garbage collected termcells : 191108
% 2.65/1.91
% 2.65/1.91 % -------------------------------------------------
% 2.65/1.91 % User time : 0.626 s
% 2.65/1.91 % System time : 0.067 s
% 2.65/1.91 % Total time : 0.694 s
% 2.65/1.91 % Maximum resident set size: 45720 pages
% 2.65/1.91
% 2.65/1.91 % -------------------------------------------------
% 2.65/1.91 % User time : 1.562 s
% 2.65/1.91 % System time : 0.149 s
% 2.65/1.91 % Total time : 1.710 s
% 2.65/1.91 % Maximum resident set size: 33280 pages
% 2.65/1.91 % E exiting
%------------------------------------------------------------------------------