%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP216_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 : n015.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 12:54:37 PM UTC 2026
% Result : Theorem 2.32s 2.83s
% Output : CNFRefutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 3 |; 1 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
bool: $tType ).
tff(decl_sort2,type,
fun_he1504492240061592256it_nat: $tType ).
tff(decl_sort3,type,
fun_he6201055237484778573t_bool: $tType ).
tff(decl_sort4,type,
heap_T6362127782908069795rray_a: $tType ).
tff(decl_sort5,type,
list_a: $tType ).
tff(decl_sort6,type,
heap_e7401611519738050253t_unit: $tType ).
tff(decl_sort7,type,
option3216581401566546698it_nat: $tType ).
tff(decl_800,type,
array_of_list_a: list_a > heap_T6362127782908069795rray_a ).
tff(decl_1778,type,
heap_T5591663578999710211rray_a: heap_T6362127782908069795rray_a > fun_he1504492240061592256it_nat ).
tff(decl_1788,type,
heap_T6932021131025641745rray_a: heap_T6362127782908069795rray_a > fun_he6201055237484778573t_bool ).
tff(decl_2055,type,
none_P2587165478634041381it_nat: option3216581401566546698it_nat ).
tff(decl_3363,type,
aa_hea1793595068369496646t_bool: ( heap_e7401611519738050253t_unit * fun_he6201055237484778573t_bool ) > bool ).
tff(decl_3365,type,
aa_hea5936688510613671481it_nat: ( heap_e7401611519738050253t_unit * fun_he1504492240061592256it_nat ) > option3216581401566546698it_nat ).
tff(decl_4336,type,
pp: bool > $o ).
tff(decl_4337,type,
h: heap_e7401611519738050253t_unit ).
tff(decl_4338,type,
xs: list_a ).
tff(fact_12_success__def,axiom,
! [X4: heap_T6362127782908069795rray_a,X2: heap_e7401611519738050253t_unit] :
( pp(aa_hea1793595068369496646t_bool(heap_T6932021131025641745rray_a(X4),X2))
<=> ( aa_hea5936688510613671481it_nat(heap_T5591663578999710211rray_a(X4),X2) != none_P2587165478634041381it_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_success__def) ).
tff(conj_0,conjecture,
aa_hea5936688510613671481it_nat(heap_T5591663578999710211rray_a(array_of_list_a(xs)),h) != none_P2587165478634041381it_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(fact_45_success__of__listI,axiom,
! [X67: list_a,X2: heap_e7401611519738050253t_unit] : pp(aa_hea1793595068369496646t_bool(heap_T6932021131025641745rray_a(array_of_list_a(X67)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_success__of__listI) ).
tff(c_0_3,plain,
! [X4: heap_T6362127782908069795rray_a,X2: heap_e7401611519738050253t_unit] :
( pp(aa_hea1793595068369496646t_bool(heap_T6932021131025641745rray_a(X4),X2))
<=> ( aa_hea5936688510613671481it_nat(heap_T5591663578999710211rray_a(X4),X2) != none_P2587165478634041381it_nat ) ),
inference(fof_simplification,[status(thm)],[fact_12_success__def]) ).
tff(c_0_4,negated_conjecture,
~ ( ( aa_hea5936688510613671481it_nat(heap_T5591663578999710211rray_a(array_of_list_a(xs)),h) != none_P2587165478634041381it_nat ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
tff(c_0_5,plain,
! [X18552: heap_T6362127782908069795rray_a,X18553: heap_e7401611519738050253t_unit] :
( ( pp(aa_hea1793595068369496646t_bool(heap_T6932021131025641745rray_a(X18552),X18553))
| ( aa_hea5936688510613671481it_nat(heap_T5591663578999710211rray_a(X18552),X18553) = none_P2587165478634041381it_nat ) )
& ( ( aa_hea5936688510613671481it_nat(heap_T5591663578999710211rray_a(X18552),X18553) != none_P2587165478634041381it_nat )
| ~ pp(aa_hea1793595068369496646t_bool(heap_T6932021131025641745rray_a(X18552),X18553)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
tff(c_0_6,plain,
! [X18548: list_a,X18549: heap_e7401611519738050253t_unit] : pp(aa_hea1793595068369496646t_bool(heap_T6932021131025641745rray_a(array_of_list_a(X18548)),X18549)),
inference(variable_rename,[status(thm)],[fact_45_success__of__listI]) ).
tff(c_0_7,negated_conjecture,
aa_hea5936688510613671481it_nat(heap_T5591663578999710211rray_a(array_of_list_a(xs)),h) = none_P2587165478634041381it_nat,
inference(fof_simplification,[status(thm)],[c_0_4]) ).
tcf(c_0_8,plain,
! [X1: heap_T6362127782908069795rray_a,X2: heap_e7401611519738050253t_unit] :
( ( aa_hea5936688510613671481it_nat(heap_T5591663578999710211rray_a(X1),X2) != none_P2587165478634041381it_nat )
| ~ pp(aa_hea1793595068369496646t_bool(heap_T6932021131025641745rray_a(X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_9,plain,
! [X67: list_a,X2: heap_e7401611519738050253t_unit] : pp(aa_hea1793595068369496646t_bool(heap_T6932021131025641745rray_a(array_of_list_a(X67)),X2)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_10,negated_conjecture,
aa_hea5936688510613671481it_nat(heap_T5591663578999710211rray_a(array_of_list_a(xs)),h) = none_P2587165478634041381it_nat,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_11,plain,
! [X67: list_a,X2: heap_e7401611519738050253t_unit] : aa_hea5936688510613671481it_nat(heap_T5591663578999710211rray_a(array_of_list_a(X67)),X2) != none_P2587165478634041381it_nat,
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_10,c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP216_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.09 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.46 % Computer : n015.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.46 % CPULimit : 300
% 0.17/0.46 % WCLimit : 300
% 0.17/0.46 % DateTime : Sun Sep 20 22:12:35 UTC 2026
% 0.17/0.47 % CPUTime :
% 0.17/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.55 Running first-order theorem proving
% 0.22/0.55 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
% 2.32/2.83 % Version: 3.5.1
% 2.32/2.83 % Preprocessing class: FMLLSMLLSSSNFFN.
% 2.32/2.83 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 2.32/2.83 % Starting new_bool_3 with 894s (3) cores
% 2.32/2.83 % Starting new_bool_1 with 894s (3) cores
% 2.32/2.83 % Starting sh5l with 298s (1) cores
% 2.32/2.83 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 298s (1) cores
% 2.32/2.83 % new_bool_3 with pid 4035203 completed with status 0
% 2.32/2.83 % Result found by new_bool_3
% 2.32/2.83 % Preprocessing class: FMLLSMLLSSSNFFN.
% 2.32/2.83 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 2.32/2.83 % Starting new_bool_3 with 894s (3) cores
% 2.32/2.83 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.32/2.83 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.32/2.83 % Search class: FGHSF-FFSF21-MFFFFFNN
% 2.32/2.83 % Scheduled 5 strats onto 3 cores with 894 seconds (894 total)
% 2.32/2.83 % Starting SubtermCWHack with 90s (1) cores
% 2.32/2.83 % Starting SAT001_CO_MinMin_p005000_rr with 537s (1) cores
% 2.32/2.83 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 90s (1) cores
% 2.32/2.83 % SubtermCWHack with pid 4035208 completed with status 0
% 2.32/2.83 % Result found by SubtermCWHack
% 2.32/2.83 % Preprocessing class: FMLLSMLLSSSNFFN.
% 2.32/2.83 % Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 2.32/2.83 % Starting new_bool_3 with 894s (3) cores
% 2.32/2.83 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.32/2.83 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.32/2.83 % Search class: FGHSF-FFSF21-MFFFFFNN
% 2.32/2.83 % Scheduled 5 strats onto 3 cores with 894 seconds (894 total)
% 2.32/2.83 % Starting SubtermCWHack with 90s (1) cores
% 2.32/2.83 % Preprocessing time : 0.007 s
% 2.32/2.83
% 2.32/2.83 % Proof found!
% 2.32/2.83 % SZS status Theorem
% 2.32/2.83 % SZS output start CNFRefutation
% See solution above
% 2.32/2.83 % Parsed axioms : 14580
% 2.32/2.83 % Removed by relevancy pruning/SinE : 14567
% 2.32/2.83 % Initial clauses : 17
% 2.32/2.83 % Removed in clause preprocessing : 0
% 2.32/2.83 % Initial clauses in saturation : 17
% 2.32/2.83 % Processed clauses : 18
% 2.32/2.83 % ...of these trivial : 0
% 2.32/2.83 % ...subsumed : 5
% 2.32/2.83 % ...remaining for further processing : 13
% 2.32/2.83 % Other redundant clauses eliminated : 4
% 2.32/2.83 % Clauses deleted for lack of memory : 0
% 2.32/2.83 % Backward-subsumed : 0
% 2.32/2.83 % Backward-rewritten : 0
% 2.32/2.83 % Generated clauses : 10
% 2.32/2.83 % ...of the previous two non-redundant : 5
% 2.32/2.83 % ...aggressively subsumed : 0
% 2.32/2.83 % Contextual simplify-reflections : 0
% 2.32/2.83 % Paramodulations : 5
% 2.32/2.83 % Factorizations : 0
% 2.32/2.83 % NegExts : 0
% 2.32/2.83 % Equation resolutions : 4
% 2.32/2.83 % Disequality decompositions : 0
% 2.32/2.83 % Total rewrite steps : 0
% 2.32/2.83 % ...of those cached : 0
% 2.32/2.83 % Propositional unsat checks : 0
% 2.32/2.83 % Propositional check models : 0
% 2.32/2.83 % Propositional check unsatisfiable : 0
% 2.32/2.83 % Propositional clauses : 0
% 2.32/2.83 % Propositional clauses after purity: 0
% 2.32/2.83 % Propositional unsat core size : 0
% 2.32/2.83 % Propositional preprocessing time : 0.000
% 2.32/2.83 % Propositional encoding time : 0.000
% 2.32/2.83 % Propositional solver time : 0.000
% 2.32/2.83 % Success case prop preproc time : 0.000
% 2.32/2.83 % Success case prop encoding time : 0.000
% 2.32/2.83 % Success case prop solver time : 0.000
% 2.32/2.83 % Current number of processed clauses : 8
% 2.32/2.83 % Positive orientable unit clauses : 1
% 2.32/2.83 % Positive unorientable unit clauses: 0
% 2.32/2.83 % Negative unit clauses : 2
% 2.32/2.83 % Non-unit-clauses : 5
% 2.32/2.83 % Current number of unprocessed clauses: 4
% 2.32/2.83 % ...number of literals in the above : 8
% 2.32/2.83 % Current number of archived formulas : 0
% 2.32/2.83 % Current number of archived clauses : 1
% 2.32/2.83 % Clause-clause subsumption calls (NU) : 7
% 2.32/2.83 % Rec. Clause-clause subsumption calls : 7
% 2.32/2.83 % Non-unit clause-clause subsumptions : 1
% 2.32/2.83 % Unit Clause-clause subsumption calls : 1
% 2.32/2.83 % Rewrite failures with RHS unbound : 0
% 2.32/2.83 % BW rewrite match attempts : 0
% 2.32/2.83 % BW rewrite match successes : 0
% 2.32/2.83 % Condensation attempts : 0
% 2.32/2.83 % Condensation successes : 0
% 2.32/2.83 % Termbank termtop insertions : 165232
% 2.32/2.83 % Search garbage collected termcells : 110058
% 2.32/2.83
% 2.32/2.83 % -------------------------------------------------
% 2.32/2.83 % User time : 0.105 s
% 2.32/2.83 % System time : 0.107 s
% 2.32/2.83 % Total time : 0.212 s
% 2.32/2.83 % Maximum resident set size: 37692 pages
% 2.32/2.83
% 2.32/2.83 % -------------------------------------------------
% 2.32/2.83 % User time : 2.106 s
% 2.32/2.83 % System time : 0.276 s
% 2.32/2.83 % Total time : 2.382 s
% 2.32/2.83 % Maximum resident set size: 30464 pages
% 2.32/2.83 % E exiting
%------------------------------------------------------------------------------