TSTP Solution File: ITP187^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP187^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 08:07:16 EDT 2024
% Result : Theorem 252.42s 32.81s
% Output : CNFRefutation 252.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 25
% Syntax : Number of formulae : 31 ( 5 unt; 22 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 171 ( 5 ~; 2 |; 2 &; 162 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 11 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 16 usr; 10 con; 0-3 aty)
% Number of variables : 4 ( 0 ^ 2 !; 2 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
pi: $tType ).
thf(decl_sort2,type,
name: $tType ).
thf(decl_sort3,type,
late_freeRes: $tType ).
thf(decl_sort4,type,
late_residual: $tType ).
thf(decl_sort5,type,
product_prod_pi_pi: $tType ).
thf(decl_sort6,type,
set_Pr1834926343_pi_pi: $tType ).
thf(decl_27,type,
par: pi > pi > pi ).
thf(decl_29,type,
res: name > pi > pi ).
thf(decl_32,type,
subs: pi > name > name > pi ).
thf(decl_36,type,
late_TauR: late_freeRes ).
thf(decl_38,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(decl_41,type,
late_transitions: pi > late_residual > $o ).
thf(decl_78,type,
product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).
thf(decl_91,type,
member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(decl_92,type,
p: pi ).
thf(decl_94,type,
p2: pi ).
thf(decl_95,type,
q: pi ).
thf(decl_97,type,
q2: pi ).
thf(decl_98,type,
r: pi ).
thf(decl_99,type,
rel: set_Pr1834926343_pi_pi ).
thf(decl_102,type,
x: name ).
thf(decl_103,type,
y: name ).
thf(conj_0,conjecture,
? [X409: pi] :
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ X409 ) )
& ( member558706512_pi_pi @ ( product_Pair_pi_pi @ X409 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) ),
file('/export/starexec/sandbox2/tmp/tmp.FaZrxe08S4/E---3.1_28899.p',conj_0) ).
thf(fact_6__092_060open_062_I_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_AQ_H_091x_058_058_061y_093_J_A_092_060parallel_062_AR_M_A_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_A_IQ_H_A_092_060parallel_062_AR_J_091x_058_058_061y_093_J_J_A_092_060in_062_ARel_092_060close_062,axiom,
member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) @ r ) @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel,
file('/export/starexec/sandbox2/tmp/tmp.FaZrxe08S4/E---3.1_28899.p',fact_6__092_060open_062_I_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_AQ_H_091x_058_058_061y_093_J_A_092_060parallel_062_AR_M_A_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_A_IQ_H_A_092_060parallel_062_AR_J_091x_058_058_061y_093_J_J_A_092_060in_062_ARel_092_060close_062) ).
thf(fact_7__092_060open_062_IP_A_092_060parallel_062_AQ_J_A_092_060parallel_062_AR_A_092_060longmapsto_062_A_092_060tau_062_A_092_060prec_062_A_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_AQ_H_091x_058_058_061y_093_J_A_092_060parallel_062_AR_092_060close_062,axiom,
late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) @ r ) ),
file('/export/starexec/sandbox2/tmp/tmp.FaZrxe08S4/E---3.1_28899.p',fact_7__092_060open_062_IP_A_092_060parallel_062_AQ_J_A_092_060parallel_062_AR_A_092_060longmapsto_062_A_092_060tau_062_A_092_060prec_062_A_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_AQ_H_091x_058_058_061y_093_J_A_092_060parallel_062_AR_092_060close_062) ).
thf(c_0_3,negated_conjecture,
~ ? [X409: pi] :
( ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ X409 ) )
& ( member558706512_pi_pi @ ( product_Pair_pi_pi @ X409 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,negated_conjecture,
! [X2042: pi] :
( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ X2042 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ X2042 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
thf(c_0_5,negated_conjecture,
! [X1: pi] :
( ~ ( late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ X1 ) )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ X1 @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_6,plain,
member558706512_pi_pi @ ( product_Pair_pi_pi @ ( par @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) @ r ) @ ( res @ y @ ( par @ p2 @ ( subs @ ( par @ q2 @ r ) @ x @ y ) ) ) ) @ rel,
inference(split_conjunct,[status(thm)],[fact_6__092_060open_062_I_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_AQ_H_091x_058_058_061y_093_J_A_092_060parallel_062_AR_M_A_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_A_IQ_H_A_092_060parallel_062_AR_J_091x_058_058_061y_093_J_J_A_092_060in_062_ARel_092_060close_062]) ).
thf(c_0_7,plain,
late_transitions @ ( par @ ( par @ p @ q ) @ r ) @ ( late_FreeR @ late_TauR @ ( par @ ( res @ y @ ( par @ p2 @ ( subs @ q2 @ x @ y ) ) ) @ r ) ),
inference(split_conjunct,[status(thm)],[fact_7__092_060open_062_IP_A_092_060parallel_062_AQ_J_A_092_060parallel_062_AR_A_092_060longmapsto_062_A_092_060tau_062_A_092_060prec_062_A_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_AQ_H_091x_058_058_061y_093_J_A_092_060parallel_062_AR_092_060close_062]) ).
thf(c_0_8,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : ITP187^1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 11:52:48 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.50 Running higher-order theorem proving
% 0.20/0.50 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/tmp/tmp.FaZrxe08S4/E---3.1_28899.p
% 252.42/32.81 # Version: 3.1.0-ho
% 252.42/32.81 # Preprocessing class: HSLSSMSMSSSNSFA.
% 252.42/32.81 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 252.42/32.81 # Starting new_ho_10 with 900s (3) cores
% 252.42/32.81 # Starting sh2lt with 300s (1) cores
% 252.42/32.81 # Starting new_ho_5 with 300s (1) cores
% 252.42/32.81 # Starting full_lambda_5 with 300s (1) cores
% 252.42/32.81 # Starting sh9 with 300s (1) cores
% 252.42/32.81 # Starting ehoh_best8_lambda with 300s (1) cores
% 252.42/32.81 # sh2lt with pid 28978 completed with status 0
% 252.42/32.81 # Result found by sh2lt
% 252.42/32.81 # Preprocessing class: HSLSSMSMSSSNSFA.
% 252.42/32.81 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 252.42/32.81 # Starting new_ho_10 with 900s (3) cores
% 252.42/32.81 # Starting sh2lt with 300s (1) cores
% 252.42/32.81 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 252.42/32.81 # Search class: HGHSM-SMLM31-MSFFFMBN
% 252.42/32.81 # Scheduled 6 strats onto 1 cores with 298 seconds (298 total)
% 252.42/32.81 # Starting new_ho_10 with 161s (1) cores
% 252.42/32.81 # new_ho_10 with pid 28983 completed with status 0
% 252.42/32.81 # Result found by new_ho_10
% 252.42/32.81 # Preprocessing class: HSLSSMSMSSSNSFA.
% 252.42/32.81 # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 252.42/32.81 # Starting new_ho_10 with 900s (3) cores
% 252.42/32.81 # Starting sh2lt with 300s (1) cores
% 252.42/32.81 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 252.42/32.81 # Search class: HGHSM-SMLM31-MSFFFMBN
% 252.42/32.81 # Scheduled 6 strats onto 1 cores with 298 seconds (298 total)
% 252.42/32.81 # Starting new_ho_10 with 161s (1) cores
% 252.42/32.81 # Preprocessing time : 2.167 s
% 252.42/32.81 # Presaturation interreduction done
% 252.42/32.81
% 252.42/32.81 # Proof found!
% 252.42/32.81 # SZS status Theorem
% 252.42/32.81 # SZS output start CNFRefutation
% See solution above
% 252.42/32.81 # Parsed axioms : 432
% 252.42/32.81 # Removed by relevancy pruning/SinE : 180
% 252.42/32.81 # Initial clauses : 28417
% 252.42/32.81 # Removed in clause preprocessing : 18
% 252.42/32.81 # Initial clauses in saturation : 28399
% 252.42/32.81 # Processed clauses : 28434
% 252.42/32.81 # ...of these trivial : 1
% 252.42/32.81 # ...subsumed : 24
% 252.42/32.81 # ...remaining for further processing : 28409
% 252.42/32.81 # Other redundant clauses eliminated : 7
% 252.42/32.81 # Clauses deleted for lack of memory : 0
% 252.42/32.81 # Backward-subsumed : 0
% 252.42/32.81 # Backward-rewritten : 0
% 252.42/32.81 # Generated clauses : 8
% 252.42/32.81 # ...of the previous two non-redundant : 6
% 252.42/32.81 # ...aggressively subsumed : 0
% 252.42/32.81 # Contextual simplify-reflections : 0
% 252.42/32.81 # Paramodulations : 1
% 252.42/32.81 # Factorizations : 0
% 252.42/32.81 # NegExts : 0
% 252.42/32.81 # Equation resolutions : 7
% 252.42/32.81 # Disequality decompositions : 0
% 252.42/32.81 # Total rewrite steps : 5
% 252.42/32.81 # ...of those cached : 0
% 252.42/32.81 # Propositional unsat checks : 0
% 252.42/32.81 # Propositional check models : 0
% 252.42/32.81 # Propositional check unsatisfiable : 0
% 252.42/32.81 # Propositional clauses : 0
% 252.42/32.81 # Propositional clauses after purity: 0
% 252.42/32.81 # Propositional unsat core size : 0
% 252.42/32.81 # Propositional preprocessing time : 0.000
% 252.42/32.81 # Propositional encoding time : 0.000
% 252.42/32.81 # Propositional solver time : 0.000
% 252.42/32.81 # Success case prop preproc time : 0.000
% 252.42/32.81 # Success case prop encoding time : 0.000
% 252.42/32.81 # Success case prop solver time : 0.000
% 252.42/32.81 # Current number of processed clauses : 29
% 252.42/32.81 # Positive orientable unit clauses : 17
% 252.42/32.81 # Positive unorientable unit clauses: 0
% 252.42/32.81 # Negative unit clauses : 11
% 252.42/32.81 # Non-unit-clauses : 1
% 252.42/32.81 # Current number of unprocessed clauses: 28344
% 252.42/32.81 # ...number of literals in the above : 306674
% 252.42/32.81 # Current number of archived formulas : 0
% 252.42/32.81 # Current number of archived clauses : 28373
% 252.42/32.81 # Clause-clause subsumption calls (NU) : 27578911
% 252.42/32.81 # Rec. Clause-clause subsumption calls : 31067
% 252.42/32.81 # Non-unit clause-clause subsumptions : 20
% 252.42/32.81 # Unit Clause-clause subsumption calls : 896
% 252.42/32.81 # Rewrite failures with RHS unbound : 0
% 252.42/32.81 # BW rewrite match attempts : 7
% 252.42/32.81 # BW rewrite match successes : 0
% 252.42/32.81 # Condensation attempts : 28434
% 252.42/32.81 # Condensation successes : 0
% 252.42/32.81 # Termbank termtop insertions : 5542622
% 252.42/32.81 # Search garbage collected termcells : 191593
% 252.42/32.81
% 252.42/32.81 # -------------------------------------------------
% 252.42/32.81 # User time : 31.844 s
% 252.42/32.81 # System time : 0.264 s
% 252.42/32.81 # Total time : 32.108 s
% 252.42/32.81 # Maximum resident set size: 61300 pages
% 252.42/32.81
% 252.42/32.81 # -------------------------------------------------
% 252.42/32.81 # User time : 31.862 s
% 252.42/32.81 # System time : 0.271 s
% 252.42/32.81 # Total time : 32.133 s
% 252.42/32.81 # Maximum resident set size: 2804 pages
% 252.42/32.81 % E---3.1 exiting
% 252.61/32.82 % E exiting
%------------------------------------------------------------------------------