%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP012^4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:05:12 AM UTC 2026
% Result : Theorem 194.75s 60.33s
% Output : CNFRefutation 194.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 8 unt; 0 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 : 0 ( 0 >; 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_4722,type,
mono_2Ec_2Einteger_2Eint__divides: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).
thf(decl_4729,type,
mono_2Ec_2Einteger_2Eint__neg: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(decl_4733,type,
mono_2Ec_2Einteger_2Eint__sub: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(decl_4795,type,
esk1_0: mono_2Etyop_2Einteger_2Eint ).
thf(decl_4796,type,
esk2_0: mono_2Etyop_2Einteger_2Eint ).
thf(decl_4797,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/sandbox2/tmp/tmp.tXorbZCWVa/E---3.1_3614823.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/sandbox2/tmp/tmp.tXorbZCWVa/E---3.1_3614823.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/sandbox2/tmp/tmp.tXorbZCWVa/E---3.1_3614823.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/sandbox2/tmp/tmp.tXorbZCWVa/E---3.1_3614823.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,
! [X24086: mono_2Etyop_2Einteger_2Eint,X24058: 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
% 0.00/0.02 % Problem : ITP012^4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n008.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 19:26:57 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running higher-order theorem proving
% 9.45/9.58 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.tXorbZCWVa/E---3.1_3614823.p
% 194.75/60.33 % Version: 3.5.1-ho
% 194.75/60.33 % partial match(2): HMLMSLSLSSSCHFA
% 194.75/60.33 % Preprocessing class: HMLLSLLLSSSCHFA.
% 194.75/60.33 % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 194.75/60.33 % Starting new_ho_2 with 1180s (4) cores
% 194.75/60.33 % Starting sh3l with 590s (2) cores
% 194.75/60.33 % Starting lpo5_rw_fix with 295s (1) cores
% 194.75/60.33 % Starting full_lambda_7 with 295s (1) cores
% 194.75/60.33 % sh3l with pid 3614903 completed with status 0
% 194.75/60.33 % Result found by sh3l
% 194.75/60.33 % partial match(2): HMLMSLSLSSSCHFA
% 194.75/60.33 % Preprocessing class: HMLLSLLLSSSCHFA.
% 194.75/60.33 % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 194.75/60.33 % Starting new_ho_2 with 1180s (4) cores
% 194.75/60.33 % Starting sh3l with 590s (2) cores
% 194.75/60.33 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 194.75/60.33 % SinE strategy is gf120_gu_RUU_F100_L01000
% 194.75/60.33 % Search class: HGHSM-SMLM33-DHFFFSBC
% 194.75/60.33 % partial match(1): HGHSM-SMLM33-MHFFFSBC
% 194.75/60.33 % Scheduled 7 strats onto 2 cores with 589 seconds (589 total)
% 194.75/60.33 % Starting SubtermCWHack with 54s (1) cores
% 194.75/60.33 % Starting sh3l with 59s (1) cores
% 194.75/60.33 % SubtermCWHack with pid 3615007 completed with status 0
% 194.75/60.33 % Result found by SubtermCWHack
% 194.75/60.33 % partial match(2): HMLMSLSLSSSCHFA
% 194.75/60.33 % Preprocessing class: HMLLSLLLSSSCHFA.
% 194.75/60.33 % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 194.75/60.33 % Starting new_ho_2 with 1180s (4) cores
% 194.75/60.33 % Starting sh3l with 590s (2) cores
% 194.75/60.33 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 194.75/60.33 % SinE strategy is gf120_gu_RUU_F100_L01000
% 194.75/60.33 % Search class: HGHSM-SMLM33-DHFFFSBC
% 194.75/60.33 % partial match(1): HGHSM-SMLM33-MHFFFSBC
% 194.75/60.33 % Scheduled 7 strats onto 2 cores with 589 seconds (589 total)
% 194.75/60.33 % Starting SubtermCWHack with 54s (1) cores
% 194.75/60.33 % Preprocessing time : 0.237 s
% 194.75/60.33
% 194.75/60.33 % Proof found!
% 194.75/60.33 % SZS status Theorem
% 194.75/60.33 % SZS output start CNFRefutation
% See solution above
% 194.75/60.33 % Parsed axioms : 33100
% 194.75/60.33 % Removed by relevancy pruning/SinE : 32099
% 194.75/60.33 % Initial clauses : 3945
% 194.75/60.33 % Removed in clause preprocessing : 1013
% 194.75/60.33 % Initial clauses in saturation : 2932
% 194.75/60.33 % Processed clauses : 27886
% 194.75/60.33 % ...of these trivial : 4161
% 194.75/60.33 % ...subsumed : 16674
% 194.75/60.33 % ...remaining for further processing : 7051
% 194.75/60.33 % Other redundant clauses eliminated : 474
% 194.75/60.33 % Clauses deleted for lack of memory : 0
% 194.75/60.33 % Backward-subsumed : 229
% 194.75/60.33 % Backward-rewritten : 194
% 194.75/60.33 % Generated clauses : 430393
% 194.75/60.33 % ...of the previous two non-redundant : 361793
% 194.75/60.33 % ...aggressively subsumed : 0
% 194.75/60.33 % Contextual simplify-reflections : 48
% 194.75/60.33 % Paramodulations : 429712
% 194.75/60.33 % Factorizations : 32
% 194.75/60.33 % NegExts : 0
% 194.75/60.33 % Equation resolutions : 616
% 194.75/60.33 % Disequality decompositions : 0
% 194.75/60.33 % Total rewrite steps : 116319
% 194.75/60.33 % ...of those cached : 88406
% 194.75/60.33 % Propositional unsat checks : 0
% 194.75/60.33 % Propositional check models : 0
% 194.75/60.33 % Propositional check unsatisfiable : 0
% 194.75/60.33 % Propositional clauses : 0
% 194.75/60.33 % Propositional clauses after purity: 0
% 194.75/60.33 % Propositional unsat core size : 0
% 194.75/60.33 % Propositional preprocessing time : 0.000
% 194.75/60.33 % Propositional encoding time : 0.000
% 194.75/60.33 % Propositional solver time : 0.000
% 194.75/60.33 % Success case prop preproc time : 0.000
% 194.75/60.33 % Success case prop encoding time : 0.000
% 194.75/60.33 % Success case prop solver time : 0.000
% 194.75/60.33 % Current number of processed clauses : 6485
% 194.75/60.33 % Positive orientable unit clauses : 2069
% 194.75/60.33 % Positive unorientable unit clauses: 12
% 194.75/60.33 % Negative unit clauses : 2119
% 194.75/60.33 % Non-unit-clauses : 2285
% 194.75/60.33 % Current number of unprocessed clauses: 333227
% 194.75/60.33 % ...number of literals in the above : 1010960
% 194.75/60.33 % Current number of archived formulas : 0
% 194.75/60.33 % Current number of archived clauses : 425
% 194.75/60.33 % Clause-clause subsumption calls (NU) : 7744908
% 194.75/60.33 % Rec. Clause-clause subsumption calls : 633899
% 194.75/60.33 % Non-unit clause-clause subsumptions : 2989
% 194.75/60.33 % Unit Clause-clause subsumption calls : 1357661
% 194.75/60.33 % Rewrite failures with RHS unbound : 0
% 194.75/60.33 % BW rewrite match attempts : 18328
% 194.75/60.33 % BW rewrite match successes : 186
% 194.75/60.33 % Condensation attempts : 0
% 194.75/60.33 % Condensation successes : 0
% 194.75/60.33 % Termbank termtop insertions : 38040348
% 194.75/60.33 % Search garbage collected termcells : 332739
% 194.75/60.33
% 194.75/60.33 % -------------------------------------------------
% 194.75/60.33 % User time : 44.593 s
% 194.75/60.33 % System time : 0.659 s
% 194.75/60.33 % Total time : 45.252 s
% 194.75/60.33 % Maximum resident set size: 77216 pages
% 194.75/60.33
% 194.75/60.33 % -------------------------------------------------
% 194.75/60.33 % User time : 93.192 s
% 194.75/60.33 % System time : 1.015 s
% 194.75/60.33 % Total time : 94.207 s
% 194.75/60.33 % Maximum resident set size: 66816 pages
% 194.75/60.33 % E exiting
%------------------------------------------------------------------------------