TSTP Solution File: ITP077^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP077^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 08:06:52 EDT 2024
% Result : Theorem 0.73s 0.63s
% Output : CNFRefutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of formulae : 21 ( 12 unt; 9 typ; 0 def)
% Number of atoms : 12 ( 11 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 22 ( 3 ~; 0 |; 0 &; 19 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 0 ^ 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
list_a: $tType ).
thf(decl_sort2,type,
a: $tType ).
thf(decl_sort3,type,
multiset_a: $tType ).
thf(decl_35,type,
groups1792256535list_a: list_a > a ).
thf(decl_81,type,
comm_m543484931mset_a: multiset_a > a ).
thf(decl_89,type,
mset_a: list_a > multiset_a ).
thf(decl_158,type,
a3: a ).
thf(decl_161,type,
qs2: list_a ).
thf(decl_162,type,
qs: list_a ).
thf(conj_0,conjecture,
( a3
= ( groups1792256535list_a @ qs2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.HQOERZ9C6q/E---3.1_20013.p',conj_0) ).
thf(fact_24_sum__mset__sum__list,axiom,
! [X48: list_a] :
( ( comm_m543484931mset_a @ ( mset_a @ X48 ) )
= ( groups1792256535list_a @ X48 ) ),
file('/export/starexec/sandbox2/tmp/tmp.HQOERZ9C6q/E---3.1_20013.p',fact_24_sum__mset__sum__list) ).
thf(fact_0__092_060open_062mset_Aqs2_A_061_Amset_Aqs_092_060close_062,axiom,
( ( mset_a @ qs2 )
= ( mset_a @ qs ) ),
file('/export/starexec/sandbox2/tmp/tmp.HQOERZ9C6q/E---3.1_20013.p',fact_0__092_060open_062mset_Aqs2_A_061_Amset_Aqs_092_060close_062) ).
thf(fact_2_a,axiom,
( a3
= ( groups1792256535list_a @ qs ) ),
file('/export/starexec/sandbox2/tmp/tmp.HQOERZ9C6q/E---3.1_20013.p',fact_2_a) ).
thf(c_0_4,negated_conjecture,
( a3
!= ( groups1792256535list_a @ qs2 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_5,plain,
! [X1820: list_a] :
( ( comm_m543484931mset_a @ ( mset_a @ X1820 ) )
= ( groups1792256535list_a @ X1820 ) ),
inference(variable_rename,[status(thm)],[fact_24_sum__mset__sum__list]) ).
thf(c_0_6,negated_conjecture,
( a3
!= ( groups1792256535list_a @ qs2 ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
! [X1: list_a] :
( ( comm_m543484931mset_a @ ( mset_a @ X1 ) )
= ( groups1792256535list_a @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
( ( mset_a @ qs2 )
= ( mset_a @ qs ) ),
inference(split_conjunct,[status(thm)],[fact_0__092_060open_062mset_Aqs2_A_061_Amset_Aqs_092_060close_062]) ).
thf(c_0_9,plain,
( a3
= ( groups1792256535list_a @ qs ) ),
inference(split_conjunct,[status(thm)],[fact_2_a]) ).
thf(c_0_10,negated_conjecture,
( a3
!= ( groups1792256535list_a @ qs2 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_11,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_7]),c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.17 % Problem : ITP077^1 : TPTP v8.1.2. Released v7.5.0.
% 0.17/0.18 % Command : run_E %s %d THM
% 0.17/0.38 % Computer : n015.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Fri May 3 13:12:06 EDT 2024
% 0.17/0.39 % CPUTime :
% 0.24/0.55 Running higher-order theorem proving
% 0.24/0.55 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/tmp/tmp.HQOERZ9C6q/E---3.1_20013.p
% 0.73/0.63 # Version: 3.1.0-ho
% 0.73/0.63 # Preprocessing class: HSLMSMSSSSMNHFA.
% 0.73/0.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/0.63 # Starting lpo5_fix with 1500s (5) cores
% 0.73/0.63 # Starting new_bool_3 with 300s (1) cores
% 0.73/0.63 # Starting new_bool_1 with 300s (1) cores
% 0.73/0.63 # Starting new_bool_2 with 300s (1) cores
% 0.73/0.63 # lpo5_fix with pid 20091 completed with status 0
% 0.73/0.63 # Result found by lpo5_fix
% 0.73/0.63 # Preprocessing class: HSLMSMSSSSMNHFA.
% 0.73/0.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/0.63 # Starting lpo5_fix with 1500s (5) cores
% 0.73/0.63 # No SInE strategy applied
% 0.73/0.63 # Search class: HGHSM-FSLM32-MHFFFSBC
% 0.73/0.63 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.73/0.63 # Starting additional_ho_6 with 811s (1) cores
% 0.73/0.63 # Starting lpo5_fix with 151s (1) cores
% 0.73/0.63 # Starting new_ho_3 with 136s (1) cores
% 0.73/0.63 # Starting sh3 with 136s (1) cores
% 0.73/0.63 # Starting pre_casc_2 with 136s (1) cores
% 0.73/0.63 # lpo5_fix with pid 20099 completed with status 0
% 0.73/0.63 # Result found by lpo5_fix
% 0.73/0.63 # Preprocessing class: HSLMSMSSSSMNHFA.
% 0.73/0.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/0.63 # Starting lpo5_fix with 1500s (5) cores
% 0.73/0.63 # No SInE strategy applied
% 0.73/0.63 # Search class: HGHSM-FSLM32-MHFFFSBC
% 0.73/0.63 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.73/0.63 # Starting additional_ho_6 with 811s (1) cores
% 0.73/0.63 # Starting lpo5_fix with 151s (1) cores
% 0.73/0.63 # Preprocessing time : 0.011 s
% 0.73/0.63
% 0.73/0.63 # Proof found!
% 0.73/0.63 # SZS status Theorem
% 0.73/0.63 # SZS output start CNFRefutation
% See solution above
% 0.73/0.63 # Parsed axioms : 540
% 0.73/0.63 # Removed by relevancy pruning/SinE : 0
% 0.73/0.63 # Initial clauses : 1065
% 0.73/0.63 # Removed in clause preprocessing : 235
% 0.73/0.63 # Initial clauses in saturation : 830
% 0.73/0.63 # Processed clauses : 57
% 0.73/0.63 # ...of these trivial : 1
% 0.73/0.63 # ...subsumed : 7
% 0.73/0.63 # ...remaining for further processing : 49
% 0.73/0.63 # Other redundant clauses eliminated : 14
% 0.73/0.63 # Clauses deleted for lack of memory : 0
% 0.73/0.63 # Backward-subsumed : 0
% 0.73/0.63 # Backward-rewritten : 1
% 0.73/0.63 # Generated clauses : 17
% 0.73/0.63 # ...of the previous two non-redundant : 16
% 0.73/0.63 # ...aggressively subsumed : 0
% 0.73/0.63 # Contextual simplify-reflections : 0
% 0.73/0.63 # Paramodulations : 3
% 0.73/0.63 # Factorizations : 0
% 0.73/0.63 # NegExts : 0
% 0.73/0.63 # Equation resolutions : 14
% 0.73/0.63 # Disequality decompositions : 0
% 0.73/0.63 # Total rewrite steps : 7
% 0.73/0.63 # ...of those cached : 1
% 0.73/0.63 # Propositional unsat checks : 0
% 0.73/0.63 # Propositional check models : 0
% 0.73/0.63 # Propositional check unsatisfiable : 0
% 0.73/0.63 # Propositional clauses : 0
% 0.73/0.63 # Propositional clauses after purity: 0
% 0.73/0.63 # Propositional unsat core size : 0
% 0.73/0.63 # Propositional preprocessing time : 0.000
% 0.73/0.63 # Propositional encoding time : 0.000
% 0.73/0.63 # Propositional solver time : 0.000
% 0.73/0.63 # Success case prop preproc time : 0.000
% 0.73/0.63 # Success case prop encoding time : 0.000
% 0.73/0.63 # Success case prop solver time : 0.000
% 0.73/0.63 # Current number of processed clauses : 34
% 0.73/0.63 # Positive orientable unit clauses : 31
% 0.73/0.63 # Positive unorientable unit clauses: 0
% 0.73/0.63 # Negative unit clauses : 2
% 0.73/0.63 # Non-unit-clauses : 1
% 0.73/0.63 # Current number of unprocessed clauses: 788
% 0.73/0.63 # ...number of literals in the above : 2997
% 0.73/0.63 # Current number of archived formulas : 0
% 0.73/0.63 # Current number of archived clauses : 1
% 0.73/0.63 # Clause-clause subsumption calls (NU) : 6
% 0.73/0.63 # Rec. Clause-clause subsumption calls : 6
% 0.73/0.63 # Non-unit clause-clause subsumptions : 6
% 0.73/0.63 # Unit Clause-clause subsumption calls : 7
% 0.73/0.63 # Rewrite failures with RHS unbound : 0
% 0.73/0.63 # BW rewrite match attempts : 2
% 0.73/0.63 # BW rewrite match successes : 1
% 0.73/0.63 # Condensation attempts : 57
% 0.73/0.63 # Condensation successes : 0
% 0.73/0.63 # Termbank termtop insertions : 75733
% 0.73/0.63 # Search garbage collected termcells : 19240
% 0.73/0.63
% 0.73/0.63 # -------------------------------------------------
% 0.73/0.63 # User time : 0.048 s
% 0.73/0.63 # System time : 0.008 s
% 0.73/0.63 # Total time : 0.056 s
% 0.73/0.63 # Maximum resident set size: 6608 pages
% 0.73/0.63
% 0.73/0.63 # -------------------------------------------------
% 0.73/0.63 # User time : 0.105 s
% 0.73/0.63 # System time : 0.022 s
% 0.73/0.63 # Total time : 0.127 s
% 0.73/0.63 # Maximum resident set size: 2924 pages
% 0.73/0.63 % E---3.1 exiting
% 0.73/0.63 % E exiting
%------------------------------------------------------------------------------