TSTP Solution File: ITP160^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP160^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 : Mon May 20 22:16:36 EDT 2024
% Result : Theorem 0.22s 0.57s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 35
% Syntax : Number of formulae : 41 ( 8 unt; 33 typ; 0 def)
% Number of atoms : 8 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 157 ( 3 ~; 0 |; 0 &; 154 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 10 avg)
% Number of types : 15 ( 14 usr)
% Number of type conns : 54 ( 54 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 19 usr; 3 con; 0-3 aty)
% Number of variables : 6 ( 0 ^ 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
c: $tType ).
thf(decl_sort2,type,
refine432681134nres_b: $tType ).
thf(decl_sort3,type,
a: $tType ).
thf(decl_sort4,type,
refine440942639nres_c: $tType ).
thf(decl_sort5,type,
refine449204144nres_d: $tType ).
thf(decl_sort6,type,
refine424419629nres_a: $tType ).
thf(decl_sort7,type,
produc2043357418nres_d: $tType ).
thf(decl_sort8,type,
set_Pr797615136nres_d: $tType ).
thf(decl_sort9,type,
set_Pr589481214nres_d: $tType ).
thf(decl_sort10,type,
set_Product_prod_a_c: $tType ).
thf(decl_sort11,type,
set_Pr1128439124nres_c: $tType ).
thf(decl_sort12,type,
set_Product_prod_b_d: $tType ).
thf(decl_sort13,type,
set_Pr1640496404nres_d: $tType ).
thf(decl_sort14,type,
set_Pr24800800nres_d: $tType ).
thf(decl_138,type,
produc1576596708nres_d: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc2043357418nres_d ).
thf(decl_181,type,
refine436832839nd_a_b: refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(decl_185,type,
refine2092371655nd_c_d: refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ).
thf(decl_201,type,
refine737062560el_a_c: set_Product_prod_a_c > set_Pr1128439124nres_c ).
thf(decl_206,type,
refine1564831968el_b_d: set_Product_prod_b_d > set_Pr1640496404nres_d ).
thf(decl_254,type,
fun_re1394577105nres_d: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).
thf(decl_285,type,
fun_re439246495nres_d: set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ).
thf(decl_301,type,
fun_re1760530651nres_d: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ).
thf(decl_331,type,
relAPP511982311nres_d: ( set_Pr797615136nres_d > set_Pr24800800nres_d ) > set_Pr797615136nres_d > set_Pr24800800nres_d ).
thf(decl_369,type,
relAPP98076839nres_d: ( set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ) > set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).
thf(decl_412,type,
relAPP1396672239nres_d: ( set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ) > set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ).
thf(decl_428,type,
relAPP813854073nres_d: ( set_Pr1640496404nres_d > set_Pr797615136nres_d ) > set_Pr1640496404nres_d > set_Pr797615136nres_d ).
thf(decl_430,type,
relAPP900772393nres_d: ( set_Pr1640496404nres_d > set_Pr589481214nres_d ) > set_Pr1640496404nres_d > set_Pr589481214nres_d ).
thf(decl_453,type,
relAPP1270454529nres_d: ( set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ) > set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ).
thf(decl_462,type,
relAPP527276399nres_c: ( set_Product_prod_a_c > set_Pr1128439124nres_c ) > set_Product_prod_a_c > set_Pr1128439124nres_c ).
thf(decl_473,type,
relAPP1313094511nres_d: ( set_Product_prod_b_d > set_Pr1640496404nres_d ) > set_Product_prod_b_d > set_Pr1640496404nres_d ).
thf(decl_525,type,
member65788417nres_d: produc2043357418nres_d > set_Pr24800800nres_d > $o ).
thf(decl_561,type,
r1: set_Product_prod_a_c ).
thf(decl_562,type,
r2: set_Product_prod_b_d ).
thf(conj_0,conjecture,
member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(fact_4_param__bind,axiom,
! [X9: set_Product_prod_a_c,X10: set_Product_prod_b_d] : ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ X9 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ X9 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X10 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X10 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_param__bind) ).
thf(c_0_2,negated_conjecture,
~ ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_3,negated_conjecture,
~ ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) ),
inference(fof_nnf,[status(thm)],[c_0_2]) ).
thf(c_0_4,plain,
! [X1442: set_Product_prod_a_c,X1443: set_Product_prod_b_d] : ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ X1442 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ X1442 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X1443 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X1443 ) ) ) ),
inference(variable_rename,[status(thm)],[fact_4_param__bind]) ).
thf(c_0_5,negated_conjecture,
~ ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,plain,
! [X7: set_Product_prod_a_c,X10: set_Product_prod_b_d] : ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ X7 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ X7 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X10 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X10 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP160^1 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.37 % Computer : n025.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sat May 18 15:28:08 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.22/0.50 Running higher-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --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
% 0.22/0.57 # Version: 3.1.0-ho
% 0.22/0.57 # partial match(1): HMLMSMSMSSLNHHA
% 0.22/0.57 # Preprocessing class: HMLMSMLMSSLNHHA.
% 0.22/0.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57 # Starting sh3 with 1500s (5) cores
% 0.22/0.57 # Starting pre_casc_2 with 300s (1) cores
% 0.22/0.57 # Starting sh2l with 300s (1) cores
% 0.22/0.57 # Starting pre_casc_6 with 300s (1) cores
% 0.22/0.57 # sh2l with pid 19608 completed with status 0
% 0.22/0.57 # Result found by sh2l
% 0.22/0.57 # partial match(1): HMLMSMSMSSLNHHA
% 0.22/0.57 # Preprocessing class: HMLMSMLMSSLNHHA.
% 0.22/0.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57 # Starting sh3 with 1500s (5) cores
% 0.22/0.57 # Starting pre_casc_2 with 300s (1) cores
% 0.22/0.57 # Starting sh2l with 300s (1) cores
% 0.22/0.57 # SinE strategy is gf120_gu_RUU_F100_L01000
% 0.22/0.57 # Search class: HGUSM-FFMF31-MHHFFSBN
% 0.22/0.57 # partial match(3): HGUSF-FFSF11-MHHFFSBN
% 0.22/0.57 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.57 # Starting sh5l with 57s (1) cores
% 0.22/0.57 # sh5l with pid 19610 completed with status 0
% 0.22/0.57 # Result found by sh5l
% 0.22/0.57 # partial match(1): HMLMSMSMSSLNHHA
% 0.22/0.57 # Preprocessing class: HMLMSMLMSSLNHHA.
% 0.22/0.57 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.57 # Starting sh3 with 1500s (5) cores
% 0.22/0.57 # Starting pre_casc_2 with 300s (1) cores
% 0.22/0.57 # Starting sh2l with 300s (1) cores
% 0.22/0.57 # SinE strategy is gf120_gu_RUU_F100_L01000
% 0.22/0.57 # Search class: HGUSM-FFMF31-MHHFFSBN
% 0.22/0.57 # partial match(3): HGUSF-FFSF11-MHHFFSBN
% 0.22/0.57 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.57 # Starting sh5l with 57s (1) cores
% 0.22/0.57 # Preprocessing time : 0.005 s
% 0.22/0.57 # Presaturation interreduction done
% 0.22/0.57
% 0.22/0.57 # Proof found!
% 0.22/0.57 # SZS status Theorem
% 0.22/0.57 # SZS output start CNFRefutation
% See solution above
% 0.22/0.57 # Parsed axioms : 1079
% 0.22/0.57 # Removed by relevancy pruning/SinE : 1035
% 0.22/0.57 # Initial clauses : 61
% 0.22/0.57 # Removed in clause preprocessing : 6
% 0.22/0.57 # Initial clauses in saturation : 55
% 0.22/0.57 # Processed clauses : 35
% 0.22/0.57 # ...of these trivial : 0
% 0.22/0.57 # ...subsumed : 12
% 0.22/0.57 # ...remaining for further processing : 23
% 0.22/0.57 # Other redundant clauses eliminated : 0
% 0.22/0.57 # Clauses deleted for lack of memory : 0
% 0.22/0.57 # Backward-subsumed : 0
% 0.22/0.57 # Backward-rewritten : 1
% 0.22/0.57 # Generated clauses : 0
% 0.22/0.57 # ...of the previous two non-redundant : 0
% 0.22/0.57 # ...aggressively subsumed : 0
% 0.22/0.57 # Contextual simplify-reflections : 0
% 0.22/0.57 # Paramodulations : 0
% 0.22/0.57 # Factorizations : 0
% 0.22/0.57 # NegExts : 0
% 0.22/0.57 # Equation resolutions : 0
% 0.22/0.57 # Disequality decompositions : 0
% 0.22/0.57 # Total rewrite steps : 1
% 0.22/0.57 # ...of those cached : 0
% 0.22/0.57 # Propositional unsat checks : 0
% 0.22/0.57 # Propositional check models : 0
% 0.22/0.57 # Propositional check unsatisfiable : 0
% 0.22/0.57 # Propositional clauses : 0
% 0.22/0.57 # Propositional clauses after purity: 0
% 0.22/0.57 # Propositional unsat core size : 0
% 0.22/0.57 # Propositional preprocessing time : 0.000
% 0.22/0.57 # Propositional encoding time : 0.000
% 0.22/0.57 # Propositional solver time : 0.000
% 0.22/0.57 # Success case prop preproc time : 0.000
% 0.22/0.57 # Success case prop encoding time : 0.000
% 0.22/0.57 # Success case prop solver time : 0.000
% 0.22/0.57 # Current number of processed clauses : 22
% 0.22/0.57 # Positive orientable unit clauses : 12
% 0.22/0.57 # Positive unorientable unit clauses: 2
% 0.22/0.57 # Negative unit clauses : 0
% 0.22/0.57 # Non-unit-clauses : 8
% 0.22/0.57 # Current number of unprocessed clauses: 20
% 0.22/0.57 # ...number of literals in the above : 56
% 0.22/0.57 # Current number of archived formulas : 0
% 0.22/0.57 # Current number of archived clauses : 1
% 0.22/0.57 # Clause-clause subsumption calls (NU) : 21
% 0.22/0.57 # Rec. Clause-clause subsumption calls : 21
% 0.22/0.57 # Non-unit clause-clause subsumptions : 12
% 0.22/0.57 # Unit Clause-clause subsumption calls : 1
% 0.22/0.57 # Rewrite failures with RHS unbound : 0
% 0.22/0.57 # BW rewrite match attempts : 24
% 0.22/0.57 # BW rewrite match successes : 1
% 0.22/0.57 # Condensation attempts : 35
% 0.22/0.57 # Condensation successes : 0
% 0.22/0.57 # Termbank termtop insertions : 13717
% 0.22/0.57 # Search garbage collected termcells : 6504
% 0.22/0.57
% 0.22/0.57 # -------------------------------------------------
% 0.22/0.57 # User time : 0.014 s
% 0.22/0.57 # System time : 0.006 s
% 0.22/0.57 # Total time : 0.020 s
% 0.22/0.57 # Maximum resident set size: 4988 pages
% 0.22/0.57
% 0.22/0.57 # -------------------------------------------------
% 0.22/0.57 # User time : 0.053 s
% 0.22/0.57 # System time : 0.011 s
% 0.22/0.57 # Total time : 0.063 s
% 0.22/0.57 # Maximum resident set size: 3888 pages
% 0.22/0.57 % E---3.1 exiting
% 0.22/0.57 % E exiting
%------------------------------------------------------------------------------