%------------------------------------------------------------------------------
% File : E---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 : n017.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 : Thu Sep 24 12:53:38 PM UTC 2026
% Result : Theorem 27.80s 14.44s
% Output : CNFRefutation 27.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 6 ~; 2 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
tff(decl_sort2,type,
mono_2Etyop_2Einteger_2Eint: $tType ).
tff(decl_27,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(decl_5295,type,
mono_2Ec_2Einteger_2Eint__add_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint ).
tff(decl_5299,type,
mono_2Ec_2Einteger_2Eint__divides_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Ebool ).
tff(decl_5313,type,
mono_2Ec_2Einteger_2Eint__neg_2E1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
tff(decl_5321,type,
mono_2Ec_2Einteger_2Eint__sub_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint ).
tff(decl_5375,type,
esk1_0: mono_2Etyop_2Einteger_2Eint ).
tff(decl_5376,type,
esk2_0: mono_2Etyop_2Einteger_2Eint ).
tff(decl_5377,type,
esk3_0: mono_2Etyop_2Einteger_2Eint ).
tff(thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
! [X34494: mono_2Etyop_2Einteger_2Eint,X34495: mono_2Etyop_2Einteger_2Eint,X34496: mono_2Etyop_2Einteger_2Eint] :
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(X34494,X34495))
=> ( mono_2Ec_2Einteger_2Eint__divides_2E2(X34494,mono_2Ec_2Einteger_2Eint__sub_2E2(X34496,X34495)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34494,X34496) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
tff(thm_2Einteger_2Eint__sub,axiom,
! [X33878: mono_2Etyop_2Einteger_2Eint,X33879: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__sub_2E2(X33878,X33879) = mono_2Ec_2Einteger_2Eint__add_2E2(X33878,mono_2Ec_2Einteger_2Eint__neg_2E1(X33879)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2Eint__sub) ).
tff(thm_2Einteger_2EINT__DIVIDES__RADD,axiom,
! [X34486: mono_2Etyop_2Einteger_2Eint,X34487: mono_2Etyop_2Einteger_2Eint,X34488: mono_2Etyop_2Einteger_2Eint] :
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(X34486,X34487))
=> ( mono_2Ec_2Einteger_2Eint__divides_2E2(X34486,mono_2Ec_2Einteger_2Eint__add_2E2(X34488,X34487)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34486,X34488) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RADD) ).
tff(thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
! [X34489: mono_2Etyop_2Einteger_2Eint,X34490: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(X34489),X34490) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34489,X34490) )
& ( mono_2Ec_2Einteger_2Eint__divides_2E2(X34489,mono_2Ec_2Einteger_2Eint__neg_2E1(X34490)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34489,X34490) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
tff(c_0_4,negated_conjecture,
~ ! [X34494: mono_2Etyop_2Einteger_2Eint,X34495: mono_2Etyop_2Einteger_2Eint,X34496: mono_2Etyop_2Einteger_2Eint] :
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(X34494,X34495))
=> ( mono_2Ec_2Einteger_2Eint__divides_2E2(X34494,mono_2Ec_2Einteger_2Eint__sub_2E2(X34496,X34495)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34494,X34496) ) ),
inference(assume_negation,[status(cth)],[thm_2Einteger_2EINT__DIVIDES__RSUB]) ).
tff(c_0_5,negated_conjecture,
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,mono_2Ec_2Einteger_2Eint__sub_2E2(esk3_0,esk2_0)) != mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk3_0) )
& p(mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk2_0)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
tff(c_0_6,plain,
! [X34537: mono_2Etyop_2Einteger_2Eint,X34538: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__sub_2E2(X34537,X34538) = mono_2Ec_2Einteger_2Eint__add_2E2(X34537,mono_2Ec_2Einteger_2Eint__neg_2E1(X34538)) ),
inference(variable_rename,[status(thm)],[thm_2Einteger_2Eint__sub]) ).
tcf(c_0_7,negated_conjecture,
mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,mono_2Ec_2Einteger_2Eint__sub_2E2(esk3_0,esk2_0)) != mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_8,plain,
! [X33706: mono_2Etyop_2Einteger_2Eint,X33727: mono_2Etyop_2Einteger_2Eint] : mono_2Ec_2Einteger_2Eint__sub_2E2(X33706,X33727) = mono_2Ec_2Einteger_2Eint__add_2E2(X33706,mono_2Ec_2Einteger_2Eint__neg_2E1(X33727)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tff(c_0_9,plain,
! [X34529: mono_2Etyop_2Einteger_2Eint,X34530: mono_2Etyop_2Einteger_2Eint,X34531: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(X34529,mono_2Ec_2Einteger_2Eint__add_2E2(X34531,X34530)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34529,X34531) )
| ~ p(mono_2Ec_2Einteger_2Eint__divides_2E2(X34529,X34530)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__RADD])])]) ).
tff(c_0_10,plain,
! [X34532: mono_2Etyop_2Einteger_2Eint,X34533: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(X34532),X34533) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34532,X34533) )
& ( mono_2Ec_2Einteger_2Eint__divides_2E2(X34532,mono_2Ec_2Einteger_2Eint__neg_2E1(X34533)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X34532,X34533) ) ),
inference(variable_rename,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__NEG]) ).
tcf(c_0_11,negated_conjecture,
mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,mono_2Ec_2Einteger_2Eint__add_2E2(esk3_0,mono_2Ec_2Einteger_2Eint__neg_2E1(esk2_0))) != mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk3_0),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
tcf(c_0_12,plain,
! [X33706: mono_2Etyop_2Einteger_2Eint,X33733: mono_2Etyop_2Einteger_2Eint,X33727: mono_2Etyop_2Einteger_2Eint] :
( ~ p(mono_2Ec_2Einteger_2Eint__divides_2E2(X33706,X33727))
| ( mono_2Ec_2Einteger_2Eint__divides_2E2(X33706,mono_2Ec_2Einteger_2Eint__add_2E2(X33733,X33727)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X33706,X33733) ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_13,plain,
! [X33706: mono_2Etyop_2Einteger_2Eint,X33727: mono_2Etyop_2Einteger_2Eint] : mono_2Ec_2Einteger_2Eint__divides_2E2(X33706,mono_2Ec_2Einteger_2Eint__neg_2E1(X33727)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X33706,X33727),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
tcf(c_0_14,negated_conjecture,
p(mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ITP012_4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n017.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 20 21:41:43 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.56 Running first-order theorem proving
% 0.24/0.56 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.80/14.44 % Version: 3.5.1
% 27.80/14.44 % Preprocessing class: FMLLSMLLSSSNFFN.
% 27.80/14.44 % Scheduled 4 strats onto 8 cores with 292 seconds (2336 total)
% 27.80/14.44 % Starting new_bool_3 with 876s (3) cores
% 27.80/14.44 % Starting new_bool_1 with 876s (3) cores
% 27.80/14.44 % Starting sh5l with 292s (1) cores
% 27.80/14.44 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 292s (1) cores
% 27.80/14.44 % new_bool_3 with pid 669515 completed with status 0
% 27.80/14.44 % Result found by new_bool_3
% 27.80/14.44 % Preprocessing class: FMLLSMLLSSSNFFN.
% 27.80/14.44 % Scheduled 4 strats onto 8 cores with 292 seconds (2336 total)
% 27.80/14.44 % Starting new_bool_3 with 876s (3) cores
% 27.80/14.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 27.80/14.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 27.80/14.44 % Search class: FGHSM-SMLM33-DFFFFFNN
% 27.80/14.44 % Scheduled 7 strats onto 3 cores with 875 seconds (875 total)
% 27.80/14.44 % Starting SubtermCWHack with 79s (1) cores
% 27.80/14.44 % Starting new_bool_3 with 88s (1) cores
% 27.80/14.44 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 79s (1) cores
% 27.80/14.44 % U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 669521 completed with status 0
% 27.80/14.44 % Result found by U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 27.80/14.44 % Preprocessing class: FMLLSMLLSSSNFFN.
% 27.80/14.44 % Scheduled 4 strats onto 8 cores with 292 seconds (2336 total)
% 27.80/14.44 % Starting new_bool_3 with 876s (3) cores
% 27.80/14.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 27.80/14.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 27.80/14.44 % Search class: FGHSM-SMLM33-DFFFFFNN
% 27.80/14.44 % Scheduled 7 strats onto 3 cores with 875 seconds (875 total)
% 27.80/14.44 % Starting SubtermCWHack with 79s (1) cores
% 27.80/14.44 % Starting new_bool_3 with 88s (1) cores
% 27.80/14.44 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 79s (1) cores
% 27.80/14.44 % Preprocessing time : 0.124 s
% 27.80/14.44 % Presaturation interreduction done
% 27.80/14.44
% 27.80/14.44 % Proof found!
% 27.80/14.44 % SZS status Theorem
% 27.80/14.44 % SZS output start CNFRefutation
% See solution above
% 27.80/14.44 % Parsed axioms : 36789
% 27.80/14.44 % Removed by relevancy pruning/SinE : 35375
% 27.80/14.44 % Initial clauses : 3312
% 27.80/14.44 % Removed in clause preprocessing : 880
% 27.80/14.44 % Initial clauses in saturation : 2432
% 27.80/14.44 % Processed clauses : 2868
% 27.80/14.44 % ...of these trivial : 349
% 27.80/14.44 % ...subsumed : 611
% 27.80/14.44 % ...remaining for further processing : 1908
% 27.80/14.44 % Other redundant clauses eliminated : 181
% 27.80/14.44 % Clauses deleted for lack of memory : 0
% 27.80/14.44 % Backward-subsumed : 10
% 27.80/14.44 % Backward-rewritten : 168
% 27.80/14.44 % Generated clauses : 2077
% 27.80/14.44 % ...of the previous two non-redundant : 1646
% 27.80/14.44 % ...aggressively subsumed : 0
% 27.80/14.44 % Contextual simplify-reflections : 9
% 27.80/14.44 % Paramodulations : 1892
% 27.80/14.44 % Factorizations : 4
% 27.80/14.44 % NegExts : 0
% 27.80/14.44 % Equation resolutions : 195
% 27.80/14.44 % Disequality decompositions : 0
% 27.80/14.44 % Total rewrite steps : 11125
% 27.80/14.44 % ...of those cached : 9461
% 27.80/14.44 % Propositional unsat checks : 0
% 27.80/14.44 % Propositional check models : 0
% 27.80/14.44 % Propositional check unsatisfiable : 0
% 27.80/14.44 % Propositional clauses : 0
% 27.80/14.44 % Propositional clauses after purity: 0
% 27.80/14.44 % Propositional unsat core size : 0
% 27.80/14.44 % Propositional preprocessing time : 0.000
% 27.80/14.44 % Propositional encoding time : 0.000
% 27.80/14.44 % Propositional solver time : 0.000
% 27.80/14.44 % Success case prop preproc time : 0.000
% 27.80/14.44 % Success case prop encoding time : 0.000
% 27.80/14.44 % Success case prop solver time : 0.000
% 27.80/14.44 % Current number of processed clauses : 226
% 27.80/14.44 % Positive orientable unit clauses : 79
% 27.80/14.44 % Positive unorientable unit clauses: 10
% 27.80/14.44 % Negative unit clauses : 16
% 27.80/14.44 % Non-unit-clauses : 121
% 27.80/14.44 % Current number of unprocessed clauses: 2591
% 27.80/14.44 % ...number of literals in the above : 7517
% 27.80/14.44 % Current number of archived formulas : 0
% 27.80/14.44 % Current number of archived clauses : 1559
% 27.80/14.44 % Clause-clause subsumption calls (NU) : 1398531
% 27.80/14.44 % Rec. Clause-clause subsumption calls : 126094
% 27.80/14.44 % Non-unit clause-clause subsumptions : 430
% 27.80/14.44 % Unit Clause-clause subsumption calls : 34361
% 27.80/14.44 % Rewrite failures with RHS unbound : 0
% 27.80/14.44 % BW rewrite match attempts : 3471
% 27.80/14.44 % BW rewrite match successes : 368
% 27.80/14.44 % Condensation attempts : 0
% 27.80/14.44 % Condensation successes : 0
% 27.80/14.44 % Termbank termtop insertions : 1274112
% 27.80/14.44 % Search garbage collected termcells : 349476
% 27.80/14.44
% 27.80/14.44 % -------------------------------------------------
% 27.80/14.44 % User time : 4.422 s
% 27.80/14.44 % System time : 0.266 s
% 27.80/14.44 % Total time : 4.688 s
% 27.80/14.44 % Maximum resident set size: 81308 pages
% 27.80/14.44
% 27.80/14.44 % -------------------------------------------------
% 27.80/14.44 % User time : 17.671 s
% 27.80/14.44 % System time : 0.728 s
% 27.80/14.44 % Total time : 18.399 s
% 27.80/14.44 % Maximum resident set size: 71548 pages
% 27.80/14.44 % E exiting
%------------------------------------------------------------------------------