TSTP Solution File: ITP153^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP153^1 : TPTP v8.1.2. 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 : Sat May 4 08:07:09 EDT 2024
% Result : Theorem 0.44s 0.68s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 24 ( 5 unt; 11 typ; 0 def)
% Number of atoms : 21 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 70 ( 8 ~; 4 |; 3 &; 54 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 0 ^ 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
set_Product_prod_a_a: $tType ).
thf(decl_sort2,type,
a: $tType ).
thf(decl_sort3,type,
set_a: $tType ).
thf(decl_sort4,type,
product_prod_a_a: $tType ).
thf(decl_69,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(decl_100,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(decl_102,type,
member_a: a > set_a > $o ).
thf(decl_103,type,
carrier: set_a ).
thf(decl_104,type,
relation: set_Product_prod_a_a ).
thf(decl_105,type,
y: a ).
thf(decl_106,type,
z: a ).
thf(conj_0,conjecture,
( ( member_a @ z @ carrier )
& ( member_a @ y @ carrier ) ),
file('/export/starexec/sandbox/tmp/tmp.EUnJO1lNXK/E---3.1_29952.p',conj_0) ).
thf(fact_8_not__outside,axiom,
! [X3: a,X4: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X3 @ X4 ) @ relation )
=> ( member_a @ X3 @ carrier ) ),
file('/export/starexec/sandbox/tmp/tmp.EUnJO1lNXK/E---3.1_29952.p',fact_8_not__outside) ).
thf(fact_0_assms,axiom,
( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
& ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation ) ),
file('/export/starexec/sandbox/tmp/tmp.EUnJO1lNXK/E---3.1_29952.p',fact_0_assms) ).
thf(c_0_3,negated_conjecture,
~ ( ( member_a @ z @ carrier )
& ( member_a @ y @ carrier ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,plain,
! [X1279: a,X1280: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ X1279 @ X1280 ) @ relation )
| ( member_a @ X1279 @ carrier ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_8_not__outside])])]) ).
thf(c_0_5,negated_conjecture,
( ~ ( member_a @ z @ carrier )
| ~ ( member_a @ y @ carrier ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
thf(c_0_6,plain,
! [X1: a,X2: a] :
( ( member_a @ X1 @ carrier )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X2 ) @ relation ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation,
inference(split_conjunct,[status(thm)],[fact_0_assms]) ).
thf(c_0_8,negated_conjecture,
( ~ ( member_a @ z @ carrier )
| ~ ( member_a @ y @ carrier ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
member_a @ z @ carrier,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_10,plain,
member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation,
inference(split_conjunct,[status(thm)],[fact_0_assms]) ).
thf(c_0_11,negated_conjecture,
~ ( member_a @ y @ carrier ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).
thf(c_0_12,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17 % Problem : ITP153^1 : TPTP v8.1.2. Released v7.5.0.
% 0.18/0.19 % Command : run_E %s %d THM
% 0.18/0.40 % Computer : n025.cluster.edu
% 0.18/0.40 % Model : x86_64 x86_64
% 0.18/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40 % Memory : 8042.1875MB
% 0.18/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40 % CPULimit : 300
% 0.18/0.40 % WCLimit : 300
% 0.18/0.40 % DateTime : Fri May 3 12:22:13 EDT 2024
% 0.18/0.40 % CPUTime :
% 0.37/0.59 Running higher-order theorem proving
% 0.37/0.59 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.EUnJO1lNXK/E---3.1_29952.p
% 0.44/0.68 # Version: 3.1.0-ho
% 0.44/0.68 # Preprocessing class: HSLSSMSMSSMCHFA.
% 0.44/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.68 # Starting full_lambda_5 with 1500s (5) cores
% 0.44/0.68 # Starting new_ho_12 with 300s (1) cores
% 0.44/0.68 # Starting pre_casc_5 with 300s (1) cores
% 0.44/0.68 # Starting full_lambda_9 with 300s (1) cores
% 0.44/0.68 # full_lambda_9 with pid 30131 completed with status 0
% 0.44/0.68 # Result found by full_lambda_9
% 0.44/0.68 # Preprocessing class: HSLSSMSMSSMCHFA.
% 0.44/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.68 # Starting full_lambda_5 with 1500s (5) cores
% 0.44/0.68 # Starting new_ho_12 with 300s (1) cores
% 0.44/0.68 # Starting pre_casc_5 with 300s (1) cores
% 0.44/0.68 # Starting full_lambda_9 with 300s (1) cores
% 0.44/0.68 # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.44/0.68 # Search class: HGHSM-FSLM31-DHFFFFBN
% 0.44/0.68 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.68 # Starting new_ho_10 with 55s (1) cores
% 0.44/0.68 # new_ho_10 with pid 30136 completed with status 0
% 0.44/0.68 # Result found by new_ho_10
% 0.44/0.68 # Preprocessing class: HSLSSMSMSSMCHFA.
% 0.44/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.68 # Starting full_lambda_5 with 1500s (5) cores
% 0.44/0.68 # Starting new_ho_12 with 300s (1) cores
% 0.44/0.68 # Starting pre_casc_5 with 300s (1) cores
% 0.44/0.68 # Starting full_lambda_9 with 300s (1) cores
% 0.44/0.68 # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.44/0.68 # Search class: HGHSM-FSLM31-DHFFFFBN
% 0.44/0.68 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.68 # Starting new_ho_10 with 55s (1) cores
% 0.44/0.68 # Preprocessing time : 0.006 s
% 0.44/0.68 # Presaturation interreduction done
% 0.44/0.68
% 0.44/0.68 # Proof found!
% 0.44/0.68 # SZS status Theorem
% 0.44/0.68 # SZS output start CNFRefutation
% See solution above
% 0.44/0.68 # Parsed axioms : 452
% 0.44/0.68 # Removed by relevancy pruning/SinE : 257
% 0.44/0.68 # Initial clauses : 300
% 0.44/0.68 # Removed in clause preprocessing : 21
% 0.44/0.68 # Initial clauses in saturation : 279
% 0.44/0.68 # Processed clauses : 349
% 0.44/0.68 # ...of these trivial : 6
% 0.44/0.68 # ...subsumed : 70
% 0.44/0.68 # ...remaining for further processing : 272
% 0.44/0.68 # Other redundant clauses eliminated : 42
% 0.44/0.68 # Clauses deleted for lack of memory : 0
% 0.44/0.68 # Backward-subsumed : 1
% 0.44/0.68 # Backward-rewritten : 3
% 0.44/0.68 # Generated clauses : 56
% 0.44/0.68 # ...of the previous two non-redundant : 36
% 0.44/0.68 # ...aggressively subsumed : 0
% 0.44/0.68 # Contextual simplify-reflections : 13
% 0.44/0.68 # Paramodulations : 7
% 0.44/0.68 # Factorizations : 0
% 0.44/0.68 # NegExts : 0
% 0.44/0.68 # Equation resolutions : 42
% 0.44/0.68 # Disequality decompositions : 0
% 0.44/0.68 # Total rewrite steps : 30
% 0.44/0.68 # ...of those cached : 13
% 0.44/0.68 # Propositional unsat checks : 0
% 0.44/0.68 # Propositional check models : 0
% 0.44/0.68 # Propositional check unsatisfiable : 0
% 0.44/0.68 # Propositional clauses : 0
% 0.44/0.68 # Propositional clauses after purity: 0
% 0.44/0.68 # Propositional unsat core size : 0
% 0.44/0.68 # Propositional preprocessing time : 0.000
% 0.44/0.68 # Propositional encoding time : 0.000
% 0.44/0.68 # Propositional solver time : 0.000
% 0.44/0.68 # Success case prop preproc time : 0.000
% 0.44/0.68 # Success case prop encoding time : 0.000
% 0.44/0.68 # Success case prop solver time : 0.000
% 0.44/0.68 # Current number of processed clauses : 47
% 0.44/0.68 # Positive orientable unit clauses : 26
% 0.44/0.68 # Positive unorientable unit clauses: 0
% 0.44/0.68 # Negative unit clauses : 4
% 0.44/0.68 # Non-unit-clauses : 17
% 0.44/0.68 # Current number of unprocessed clauses: 150
% 0.44/0.68 # ...number of literals in the above : 424
% 0.44/0.68 # Current number of archived formulas : 0
% 0.44/0.68 # Current number of archived clauses : 188
% 0.44/0.68 # Clause-clause subsumption calls (NU) : 6001
% 0.44/0.68 # Rec. Clause-clause subsumption calls : 1974
% 0.44/0.68 # Non-unit clause-clause subsumptions : 76
% 0.44/0.68 # Unit Clause-clause subsumption calls : 57
% 0.44/0.68 # Rewrite failures with RHS unbound : 0
% 0.44/0.68 # BW rewrite match attempts : 19
% 0.44/0.68 # BW rewrite match successes : 11
% 0.44/0.68 # Condensation attempts : 349
% 0.44/0.68 # Condensation successes : 0
% 0.44/0.68 # Termbank termtop insertions : 33053
% 0.44/0.68 # Search garbage collected termcells : 9090
% 0.44/0.68
% 0.44/0.68 # -------------------------------------------------
% 0.44/0.68 # User time : 0.041 s
% 0.44/0.68 # System time : 0.014 s
% 0.44/0.68 # Total time : 0.055 s
% 0.44/0.68 # Maximum resident set size: 3836 pages
% 0.44/0.68
% 0.44/0.68 # -------------------------------------------------
% 0.44/0.68 # User time : 0.057 s
% 0.44/0.68 # System time : 0.018 s
% 0.44/0.68 # Total time : 0.074 s
% 0.44/0.68 # Maximum resident set size: 2752 pages
% 0.44/0.68 % E---3.1 exiting
% 0.44/0.68 % E exiting
%------------------------------------------------------------------------------