TSTP Solution File: ITP216_1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP216_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 08:09:40 EDT 2024
% Result : Theorem 12.39s 12.19s
% Output : CNFRefutation 12.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 19
% Syntax : Number of formulae : 28 ( 8 unt; 16 typ; 0 def)
% Number of atoms : 18 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 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 : 8 ( 6 >; 2 *; 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_799,type,
array_of_list_a: list_a > heap_T6362127782908069795rray_a ).
tff(decl_1777,type,
heap_T5591663578999710211rray_a: heap_T6362127782908069795rray_a > fun_he1504492240061592256it_nat ).
tff(decl_1787,type,
heap_T6932021131025641745rray_a: heap_T6362127782908069795rray_a > fun_he6201055237484778573t_bool ).
tff(decl_2054,type,
none_P2587165478634041381it_nat: option3216581401566546698it_nat ).
tff(decl_3362,type,
aa_hea1793595068369496646t_bool: ( fun_he6201055237484778573t_bool * heap_e7401611519738050253t_unit ) > bool ).
tff(decl_3364,type,
aa_hea5936688510613671481it_nat: ( fun_he1504492240061592256it_nat * heap_e7401611519738050253t_unit ) > option3216581401566546698it_nat ).
tff(decl_4335,type,
pp: bool > $o ).
tff(decl_4336,type,
h: heap_e7401611519738050253t_unit ).
tff(decl_4337,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/tmp/tmp.HG3dDmjHXY/E---3.1_14498.p',fact_12_success__def) ).
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/tmp/tmp.HG3dDmjHXY/E---3.1_14498.p',fact_45_success__of__listI) ).
tff(conj_0,conjecture,
aa_hea5936688510613671481it_nat(heap_T5591663578999710211rray_a(array_of_list_a(xs)),h) != none_P2587165478634041381it_nat,
file('/export/starexec/sandbox/tmp/tmp.HG3dDmjHXY/E---3.1_14498.p',conj_0) ).
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,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_5,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_6,negated_conjecture,
aa_hea5936688510613671481it_nat(heap_T5591663578999710211rray_a(array_of_list_a(xs)),h) = none_P2587165478634041381it_nat,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
tcf(c_0_7,plain,
! [X1: heap_T6362127782908069795rray_a,X2: heap_e7401611519738050253t_unit] :
( ~ pp(aa_hea1793595068369496646t_bool(heap_T6932021131025641745rray_a(X1),X2))
| ( aa_hea5936688510613671481it_nat(heap_T5591663578999710211rray_a(X1),X2) != none_P2587165478634041381it_nat ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
tcf(c_0_8,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_5]) ).
tcf(c_0_9,negated_conjecture,
aa_hea5936688510613671481it_nat(heap_T5591663578999710211rray_a(array_of_list_a(xs)),h) = none_P2587165478634041381it_nat,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_10,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_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_9,c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP216_1 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 12:10:16 EDT 2024
% 0.15/0.36 % CPUTime :
% 10.95/11.23 Running first-order model finding
% 10.95/11.23 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.HG3dDmjHXY/E---3.1_14498.p
% 12.39/12.19 # Version: 3.1.0
% 12.39/12.19 # Preprocessing class: FMLLSMLLSSSNFFN.
% 12.39/12.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.39/12.19 # Starting new_bool_3 with 900s (3) cores
% 12.39/12.19 # Starting new_bool_1 with 900s (3) cores
% 12.39/12.19 # Starting sh5l with 300s (1) cores
% 12.39/12.19 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 12.39/12.19 # new_bool_3 with pid 15274 completed with status 0
% 12.39/12.19 # Result found by new_bool_3
% 12.39/12.19 # Preprocessing class: FMLLSMLLSSSNFFN.
% 12.39/12.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.39/12.19 # Starting new_bool_3 with 900s (3) cores
% 12.39/12.19 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 12.39/12.19 # Search class: FGHSF-FFSF21-MFFFFFNN
% 12.39/12.19 # Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 12.39/12.19 # Starting SAT001_CO_MinMin_p005000_rr with 541s (1) cores
% 12.39/12.19 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores
% 12.39/12.19 # Starting new_bool_3 with 91s (1) cores
% 12.39/12.19 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 15279 completed with status 0
% 12.39/12.19 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 12.39/12.19 # Preprocessing class: FMLLSMLLSSSNFFN.
% 12.39/12.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.39/12.19 # Starting new_bool_3 with 900s (3) cores
% 12.39/12.19 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 12.39/12.19 # Search class: FGHSF-FFSF21-MFFFFFNN
% 12.39/12.19 # Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 12.39/12.19 # Starting SAT001_CO_MinMin_p005000_rr with 541s (1) cores
% 12.39/12.19 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores
% 12.39/12.19 # Preprocessing time : 0.006 s
% 12.39/12.19 # Presaturation interreduction done
% 12.39/12.19
% 12.39/12.19 # Proof found!
% 12.39/12.19 # SZS status Theorem
% 12.39/12.19 # SZS output start CNFRefutation
% See solution above
% 12.39/12.19 # Parsed axioms : 14580
% 12.39/12.19 # Removed by relevancy pruning/SinE : 14567
% 12.39/12.19 # Initial clauses : 17
% 12.39/12.19 # Removed in clause preprocessing : 0
% 12.39/12.19 # Initial clauses in saturation : 17
% 12.39/12.19 # Processed clauses : 30
% 12.39/12.19 # ...of these trivial : 0
% 12.39/12.19 # ...subsumed : 5
% 12.39/12.19 # ...remaining for further processing : 25
% 12.39/12.19 # Other redundant clauses eliminated : 4
% 12.39/12.19 # Clauses deleted for lack of memory : 0
% 12.39/12.19 # Backward-subsumed : 0
% 12.39/12.19 # Backward-rewritten : 0
% 12.39/12.19 # Generated clauses : 10
% 12.39/12.19 # ...of the previous two non-redundant : 5
% 12.39/12.19 # ...aggressively subsumed : 0
% 12.39/12.19 # Contextual simplify-reflections : 0
% 12.39/12.19 # Paramodulations : 5
% 12.39/12.19 # Factorizations : 0
% 12.39/12.19 # NegExts : 0
% 12.39/12.19 # Equation resolutions : 4
% 12.39/12.19 # Disequality decompositions : 0
% 12.39/12.19 # Total rewrite steps : 0
% 12.39/12.19 # ...of those cached : 0
% 12.39/12.19 # Propositional unsat checks : 0
% 12.39/12.19 # Propositional check models : 0
% 12.39/12.19 # Propositional check unsatisfiable : 0
% 12.39/12.19 # Propositional clauses : 0
% 12.39/12.19 # Propositional clauses after purity: 0
% 12.39/12.19 # Propositional unsat core size : 0
% 12.39/12.19 # Propositional preprocessing time : 0.000
% 12.39/12.19 # Propositional encoding time : 0.000
% 12.39/12.19 # Propositional solver time : 0.000
% 12.39/12.19 # Success case prop preproc time : 0.000
% 12.39/12.19 # Success case prop encoding time : 0.000
% 12.39/12.19 # Success case prop solver time : 0.000
% 12.39/12.19 # Current number of processed clauses : 8
% 12.39/12.19 # Positive orientable unit clauses : 1
% 12.39/12.19 # Positive unorientable unit clauses: 0
% 12.39/12.19 # Negative unit clauses : 2
% 12.39/12.19 # Non-unit-clauses : 5
% 12.39/12.19 # Current number of unprocessed clauses: 4
% 12.39/12.19 # ...number of literals in the above : 8
% 12.39/12.19 # Current number of archived formulas : 0
% 12.39/12.19 # Current number of archived clauses : 13
% 12.39/12.19 # Clause-clause subsumption calls (NU) : 19
% 12.39/12.19 # Rec. Clause-clause subsumption calls : 19
% 12.39/12.19 # Non-unit clause-clause subsumptions : 1
% 12.39/12.19 # Unit Clause-clause subsumption calls : 1
% 12.39/12.19 # Rewrite failures with RHS unbound : 0
% 12.39/12.19 # BW rewrite match attempts : 2
% 12.39/12.19 # BW rewrite match successes : 0
% 12.39/12.19 # Condensation attempts : 0
% 12.39/12.19 # Condensation successes : 0
% 12.39/12.19 # Termbank termtop insertions : 165282
% 12.39/12.19 # Search garbage collected termcells : 110059
% 12.39/12.19
% 12.39/12.19 # -------------------------------------------------
% 12.39/12.19 # User time : 0.062 s
% 12.39/12.19 # System time : 0.041 s
% 12.39/12.19 # Total time : 0.103 s
% 12.39/12.19 # Maximum resident set size: 35860 pages
% 12.39/12.19
% 12.39/12.19 # -------------------------------------------------
% 12.39/12.19 # User time : 0.892 s
% 12.39/12.19 # System time : 0.080 s
% 12.39/12.19 # Total time : 0.972 s
% 12.39/12.19 # Maximum resident set size: 27612 pages
% 12.39/12.19 % E---3.1 exiting
%------------------------------------------------------------------------------