TSTP Solution File: ITP012^4 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP012^4 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 22:15:28 EDT 2024
% Result : Theorem 186.99s 40.64s
% Output : CNFRefutation 186.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 8 unt; 7 typ; 0 def)
% Number of atoms : 54 ( 3 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 205 ( 20 ~; 18 |; 7 &; 152 @)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 0 ^ 33 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mono_2Etyop_2Einteger_2Eint: $tType ).
thf(decl_4721,type,
mono_2Ec_2Einteger_2Eint__divides: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).
thf(decl_4728,type,
mono_2Ec_2Einteger_2Eint__neg: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(decl_4732,type,
mono_2Ec_2Einteger_2Eint__sub: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(decl_4794,type,
esk1_0: mono_2Etyop_2Einteger_2Eint ).
thf(decl_4795,type,
esk2_0: mono_2Etyop_2Einteger_2Eint ).
thf(decl_4796,type,
esk3_0: mono_2Etyop_2Einteger_2Eint ).
thf(thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
! [X24807: mono_2Etyop_2Einteger_2Eint,X24808: mono_2Etyop_2Einteger_2Eint,X24809: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X24807 @ X24808 )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ X24807 @ ( mono_2Ec_2Einteger_2Eint__sub @ X24809 @ X24808 ) )
<=> ( mono_2Ec_2Einteger_2Eint__divides @ X24807 @ X24809 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
thf(thm_2Einteger_2EINT__DIVIDES__LSUB,axiom,
! [X24804: mono_2Etyop_2Einteger_2Eint,X24805: mono_2Etyop_2Einteger_2Eint,X24806: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X24804 @ X24805 )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ X24804 @ ( mono_2Ec_2Einteger_2Eint__sub @ X24805 @ X24806 ) )
<=> ( mono_2Ec_2Einteger_2Eint__divides @ X24804 @ X24806 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__LSUB) ).
thf(thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
! [X24802: mono_2Etyop_2Einteger_2Eint,X24803: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ X24802 @ ( mono_2Ec_2Einteger_2Eint__neg @ X24803 ) )
<=> ( mono_2Ec_2Einteger_2Eint__divides @ X24802 @ X24803 ) )
& ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ X24802 ) @ X24803 )
<=> ( mono_2Ec_2Einteger_2Eint__divides @ X24802 @ X24803 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
thf(thm_2Einteger_2EINT__NEG__SUB,axiom,
! [X24289: mono_2Etyop_2Einteger_2Eint,X24290: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__sub @ X24289 @ X24290 ) )
= ( mono_2Ec_2Einteger_2Eint__sub @ X24290 @ X24289 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__NEG__SUB) ).
thf(c_0_4,negated_conjecture,
~ ! [X24807: mono_2Etyop_2Einteger_2Eint,X24808: mono_2Etyop_2Einteger_2Eint,X24809: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X24807 @ X24808 )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ X24807 @ ( mono_2Ec_2Einteger_2Eint__sub @ X24809 @ X24808 ) )
<=> ( mono_2Ec_2Einteger_2Eint__divides @ X24807 @ X24809 ) ) ),
inference(assume_negation,[status(cth)],[thm_2Einteger_2EINT__DIVIDES__RSUB]) ).
thf(c_0_5,negated_conjecture,
( ( mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ esk2_0 )
& ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ ( mono_2Ec_2Einteger_2Eint__sub @ esk3_0 @ esk2_0 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ esk3_0 ) )
& ( ( mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ ( mono_2Ec_2Einteger_2Eint__sub @ esk3_0 @ esk2_0 ) )
| ( mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ esk3_0 ) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
thf(c_0_6,plain,
! [X28071: mono_2Etyop_2Einteger_2Eint,X28072: mono_2Etyop_2Einteger_2Eint,X28073: mono_2Etyop_2Einteger_2Eint] :
( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ X28071 @ ( mono_2Ec_2Einteger_2Eint__sub @ X28072 @ X28073 ) )
| ( mono_2Ec_2Einteger_2Eint__divides @ X28071 @ X28073 )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X28071 @ X28072 ) )
& ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ X28071 @ X28073 )
| ( mono_2Ec_2Einteger_2Eint__divides @ X28071 @ ( mono_2Ec_2Einteger_2Eint__sub @ X28072 @ X28073 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X28071 @ X28072 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__LSUB])])])]) ).
thf(c_0_7,plain,
! [X28069: mono_2Etyop_2Einteger_2Eint,X28070: mono_2Etyop_2Einteger_2Eint] :
( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ X28069 @ ( mono_2Ec_2Einteger_2Eint__neg @ X28070 ) )
| ( mono_2Ec_2Einteger_2Eint__divides @ X28069 @ X28070 ) )
& ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ X28069 @ X28070 )
| ( mono_2Ec_2Einteger_2Eint__divides @ X28069 @ ( mono_2Ec_2Einteger_2Eint__neg @ X28070 ) ) )
& ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ X28069 ) @ X28070 )
| ( mono_2Ec_2Einteger_2Eint__divides @ X28069 @ X28070 ) )
& ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ X28069 @ X28070 )
| ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ X28069 ) @ X28070 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__NEG])])]) ).
thf(c_0_8,plain,
! [X28088: mono_2Etyop_2Einteger_2Eint,X28089: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__sub @ X28088 @ X28089 ) )
= ( mono_2Ec_2Einteger_2Eint__sub @ X28089 @ X28088 ) ),
inference(variable_rename,[status(thm)],[thm_2Einteger_2EINT__NEG__SUB]) ).
thf(c_0_9,negated_conjecture,
( ~ ( mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ ( mono_2Ec_2Einteger_2Eint__sub @ esk3_0 @ esk2_0 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_10,plain,
! [X24058: mono_2Etyop_2Einteger_2Eint,X24086: mono_2Etyop_2Einteger_2Eint,X24088: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X24058 @ ( mono_2Ec_2Einteger_2Eint__sub @ X24088 @ X24086 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X24058 @ X24086 )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X24058 @ X24088 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_11,negated_conjecture,
mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_12,plain,
! [X24058: mono_2Etyop_2Einteger_2Eint,X24086: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X24058 @ ( mono_2Ec_2Einteger_2Eint__neg @ X24086 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X24058 @ X24086 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_13,plain,
! [X24086: mono_2Etyop_2Einteger_2Eint,X24058: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__neg @ ( mono_2Ec_2Einteger_2Eint__sub @ X24058 @ X24086 ) )
= ( mono_2Ec_2Einteger_2Eint__sub @ X24086 @ X24058 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_14,negated_conjecture,
( ( mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ ( mono_2Ec_2Einteger_2Eint__sub @ esk3_0 @ esk2_0 ) )
| ( mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_15,negated_conjecture,
~ ( mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
thf(c_0_16,plain,
! [X24058: mono_2Etyop_2Einteger_2Eint,X24088: mono_2Etyop_2Einteger_2Eint,X24086: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X24058 @ ( mono_2Ec_2Einteger_2Eint__sub @ X24086 @ X24088 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X24058 @ ( mono_2Ec_2Einteger_2Eint__sub @ X24088 @ X24086 ) ) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_17,negated_conjecture,
mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ ( mono_2Ec_2Einteger_2Eint__sub @ esk3_0 @ esk2_0 ),
inference(sr,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_18,plain,
! [X24058: mono_2Etyop_2Einteger_2Eint,X24088: mono_2Etyop_2Einteger_2Eint,X24086: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X24058 @ X24088 )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X24058 @ ( mono_2Ec_2Einteger_2Eint__sub @ X24086 @ X24088 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X24058 @ X24086 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_19,negated_conjecture,
mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ ( mono_2Ec_2Einteger_2Eint__sub @ esk2_0 @ esk3_0 ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_11])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP012^4 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.36 % Computer : n019.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat May 18 15:58:38 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.21/0.50 Running higher-order theorem proving
% 0.21/0.50 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/benchmark/theBenchmark.p
% 186.99/40.64 # Version: 3.1.0-ho
% 186.99/40.64 # partial match(2): HMLMSLSLSSSCHFA
% 186.99/40.64 # Preprocessing class: HMLLSLLLSSSCHFA.
% 186.99/40.64 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 186.99/40.64 # Starting new_ho_2 with 1192s (4) cores
% 186.99/40.64 # Starting sh3l with 596s (2) cores
% 186.99/40.64 # Starting lpo5_rw_fix with 298s (1) cores
% 186.99/40.64 # Starting full_lambda_7 with 298s (1) cores
% 186.99/40.64 # lpo5_rw_fix with pid 929 completed with status 0
% 186.99/40.64 # Result found by lpo5_rw_fix
% 186.99/40.64 # partial match(2): HMLMSLSLSSSCHFA
% 186.99/40.64 # Preprocessing class: HMLLSLLLSSSCHFA.
% 186.99/40.64 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 186.99/40.64 # Starting new_ho_2 with 1192s (4) cores
% 186.99/40.64 # Starting sh3l with 596s (2) cores
% 186.99/40.64 # Starting lpo5_rw_fix with 298s (1) cores
% 186.99/40.64 # SinE strategy is gf120_gu_RUU_F100_L01000
% 186.99/40.64 # Search class: HGHSM-SMLM33-DHFFFSBC
% 186.99/40.64 # partial match(1): HGHSM-SMLM33-MHFFFSBC
% 186.99/40.64 # Scheduled 6 strats onto 1 cores with 297 seconds (297 total)
% 186.99/40.64 # Starting new_ho_10 with 161s (1) cores
% 186.99/40.64 # new_ho_10 with pid 933 completed with status 0
% 186.99/40.64 # Result found by new_ho_10
% 186.99/40.64 # partial match(2): HMLMSLSLSSSCHFA
% 186.99/40.64 # Preprocessing class: HMLLSLLLSSSCHFA.
% 186.99/40.64 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 186.99/40.64 # Starting new_ho_2 with 1192s (4) cores
% 186.99/40.64 # Starting sh3l with 596s (2) cores
% 186.99/40.64 # Starting lpo5_rw_fix with 298s (1) cores
% 186.99/40.64 # SinE strategy is gf120_gu_RUU_F100_L01000
% 186.99/40.64 # Search class: HGHSM-SMLM33-DHFFFSBC
% 186.99/40.64 # partial match(1): HGHSM-SMLM33-MHFFFSBC
% 186.99/40.64 # Scheduled 6 strats onto 1 cores with 297 seconds (297 total)
% 186.99/40.64 # Starting new_ho_10 with 161s (1) cores
% 186.99/40.64 # Preprocessing time : 0.238 s
% 186.99/40.64 # Presaturation interreduction done
% 186.99/40.64
% 186.99/40.64 # Proof found!
% 186.99/40.64 # SZS status Theorem
% 186.99/40.64 # SZS output start CNFRefutation
% See solution above
% 186.99/40.64 # Parsed axioms : 33100
% 186.99/40.64 # Removed by relevancy pruning/SinE : 32099
% 186.99/40.64 # Initial clauses : 3945
% 186.99/40.64 # Removed in clause preprocessing : 1013
% 186.99/40.64 # Initial clauses in saturation : 2932
% 186.99/40.64 # Processed clauses : 6706
% 186.99/40.64 # ...of these trivial : 469
% 186.99/40.64 # ...subsumed : 1598
% 186.99/40.64 # ...remaining for further processing : 4639
% 186.99/40.64 # Other redundant clauses eliminated : 497
% 186.99/40.64 # Clauses deleted for lack of memory : 0
% 186.99/40.64 # Backward-subsumed : 53
% 186.99/40.64 # Backward-rewritten : 61
% 186.99/40.64 # Generated clauses : 125384
% 186.99/40.64 # ...of the previous two non-redundant : 120025
% 186.99/40.64 # ...aggressively subsumed : 0
% 186.99/40.64 # Contextual simplify-reflections : 24
% 186.99/40.64 # Paramodulations : 124646
% 186.99/40.64 # Factorizations : 20
% 186.99/40.64 # NegExts : 0
% 186.99/40.64 # Equation resolutions : 640
% 186.99/40.64 # Disequality decompositions : 0
% 186.99/40.64 # Total rewrite steps : 26061
% 186.99/40.64 # ...of those cached : 21808
% 186.99/40.64 # Propositional unsat checks : 0
% 186.99/40.64 # Propositional check models : 0
% 186.99/40.64 # Propositional check unsatisfiable : 0
% 186.99/40.64 # Propositional clauses : 0
% 186.99/40.64 # Propositional clauses after purity: 0
% 186.99/40.64 # Propositional unsat core size : 0
% 186.99/40.64 # Propositional preprocessing time : 0.000
% 186.99/40.64 # Propositional encoding time : 0.000
% 186.99/40.64 # Propositional solver time : 0.000
% 186.99/40.64 # Success case prop preproc time : 0.000
% 186.99/40.64 # Success case prop encoding time : 0.000
% 186.99/40.64 # Success case prop solver time : 0.000
% 186.99/40.64 # Current number of processed clauses : 2379
% 186.99/40.64 # Positive orientable unit clauses : 268
% 186.99/40.64 # Positive unorientable unit clauses: 9
% 186.99/40.64 # Negative unit clauses : 157
% 186.99/40.64 # Non-unit-clauses : 1945
% 186.99/40.64 # Current number of unprocessed clauses: 118050
% 186.99/40.64 # ...number of literals in the above : 697058
% 186.99/40.64 # Current number of archived formulas : 0
% 186.99/40.64 # Current number of archived clauses : 2118
% 186.99/40.64 # Clause-clause subsumption calls (NU) : 10624301
% 186.99/40.64 # Rec. Clause-clause subsumption calls : 613620
% 186.99/40.64 # Non-unit clause-clause subsumptions : 799
% 186.99/40.64 # Unit Clause-clause subsumption calls : 98403
% 186.99/40.64 # Rewrite failures with RHS unbound : 0
% 186.99/40.64 # BW rewrite match attempts : 2462
% 186.99/40.64 # BW rewrite match successes : 225
% 186.99/40.64 # Condensation attempts : 6706
% 186.99/40.64 # Condensation successes : 157
% 186.99/40.64 # Termbank termtop insertions : 37423969
% 186.99/40.64 # Search garbage collected termcells : 332739
% 186.99/40.64
% 186.99/40.64 # -------------------------------------------------
% 186.99/40.64 # User time : 36.462 s
% 186.99/40.64 # System time : 0.349 s
% 186.99/40.64 # Total time : 36.811 s
% 186.99/40.64 # Maximum resident set size: 74768 pages
% 186.99/40.64
% 186.99/40.64 # -------------------------------------------------
% 186.99/40.64 # User time : 39.270 s
% 186.99/40.64 # System time : 0.428 s
% 186.99/40.64 # Total time : 39.698 s
% 186.99/40.64 # Maximum resident set size: 63120 pages
% 186.99/40.64 % E---3.1 exiting
% 186.99/40.64 % E exiting
%------------------------------------------------------------------------------