%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP012+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:53:37 PM UTC 2026
% Result : Theorem 0.13s 0.47s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 25 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 6 ~; 3 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
! [X24,X25,X26] :
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25))))
=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X26),s(tyop_2Einteger_2Eint,X25))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X26))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
fof(thm_2Einteger_2EINT__DIVIDES__RADD,axiom,
! [X24,X25,X26] :
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25))))
=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X26),s(tyop_2Einteger_2Eint,X25))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X26))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RADD) ).
fof(thm_2Einteger_2Eint__sub,axiom,
! [X9,X10] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X9),s(tyop_2Einteger_2Eint,X10))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X9),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X10))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2Eint__sub) ).
fof(thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
! [X24,X25] :
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X24))),s(tyop_2Einteger_2Eint,X25))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25)))
& s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X25))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
fof(c_0_4,negated_conjecture,
~ ! [X24,X25,X26] :
( p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X25))))
=> s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X26),s(tyop_2Einteger_2Eint,X25))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X24),s(tyop_2Einteger_2Eint,X26))) ),
inference(assume_negation,[status(cth)],[thm_2Einteger_2EINT__DIVIDES__RSUB]) ).
fof(c_0_5,plain,
! [X58,X59,X60] :
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X58),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X60),s(tyop_2Einteger_2Eint,X59))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X58),s(tyop_2Einteger_2Eint,X60)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X58),s(tyop_2Einteger_2Eint,X59)))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__RADD])])]) ).
fof(c_0_6,plain,
! [X63,X64] : s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X63),s(tyop_2Einteger_2Eint,X64))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X63),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X64))))),
inference(variable_rename,[status(thm)],[thm_2Einteger_2Eint__sub]) ).
fof(c_0_7,plain,
! [X61,X62] :
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X61))),s(tyop_2Einteger_2Eint,X62))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X61),s(tyop_2Einteger_2Eint,X62)))
& s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X61),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X62))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X61),s(tyop_2Einteger_2Eint,X62))) ),
inference(variable_rename,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__NEG]) ).
fof(c_0_8,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,esk3_0),s(tyop_2Einteger_2Eint,esk2_0))))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,esk3_0)))
& p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,esk2_0)))) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
cnf(c_0_9,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))))
| s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X3),s(tyop_2Einteger_2Eint,X2))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__add_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X2))))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X2))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,esk3_0),s(tyop_2Einteger_2Eint,esk2_0))))) != s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X3))))
| s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__sub_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,X3))))) = s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,X1),s(tyop_2Einteger_2Eint,X2))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_14,negated_conjecture,
p(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__divides_2E2(s(tyop_2Einteger_2Eint,esk1_0),s(tyop_2Einteger_2Eint,esk2_0)))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP012+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 21:45:35 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.13/0.47 % Version: 3.5.1
% 0.13/0.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.47 % Starting sh5l with 300s (1) cores
% 0.13/0.47 % new_bool_1 with pid 1523324 completed with status 0
% 0.13/0.47 % Result found by new_bool_1
% 0.13/0.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.47 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.47 % Search class: FGUSS-FFMF21-MFFFFFNN
% 0.13/0.47 % partial match(1): FGUSM-FFMF21-MFFFFFNN
% 0.13/0.47 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.47 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.47 % SubtermCWHack with pid 1523328 completed with status 0
% 0.13/0.47 % Result found by SubtermCWHack
% 0.13/0.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.47 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.47 % Search class: FGUSS-FFMF21-MFFFFFNN
% 0.13/0.47 % partial match(1): FGUSM-FFMF21-MFFFFFNN
% 0.13/0.47 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.47 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.47 % Preprocessing time : 0.002 s
% 0.13/0.47
% 0.13/0.47 % Proof found!
% 0.13/0.47 % SZS status Theorem
% 0.13/0.47 % SZS output start CNFRefutation
% See solution above
% 0.13/0.47 % Parsed axioms : 52
% 0.13/0.47 % Removed by relevancy pruning/SinE : 37
% 0.13/0.47 % Initial clauses : 213
% 0.13/0.47 % Removed in clause preprocessing : 181
% 0.13/0.47 % Initial clauses in saturation : 32
% 0.13/0.47 % Processed clauses : 244
% 0.13/0.47 % ...of these trivial : 3
% 0.13/0.47 % ...subsumed : 198
% 0.13/0.47 % ...remaining for further processing : 43
% 0.13/0.47 % Other redundant clauses eliminated : 0
% 0.13/0.47 % Clauses deleted for lack of memory : 0
% 0.13/0.47 % Backward-subsumed : 4
% 0.13/0.47 % Backward-rewritten : 0
% 0.13/0.47 % Generated clauses : 2340
% 0.13/0.47 % ...of the previous two non-redundant : 1968
% 0.13/0.47 % ...aggressively subsumed : 0
% 0.13/0.47 % Contextual simplify-reflections : 1
% 0.13/0.47 % Paramodulations : 2135
% 0.13/0.47 % Factorizations : 196
% 0.13/0.47 % NegExts : 0
% 0.13/0.47 % Equation resolutions : 9
% 0.13/0.47 % Disequality decompositions : 0
% 0.13/0.47 % Total rewrite steps : 239
% 0.13/0.47 % ...of those cached : 228
% 0.13/0.47 % Propositional unsat checks : 0
% 0.13/0.47 % Propositional check models : 0
% 0.13/0.47 % Propositional check unsatisfiable : 0
% 0.13/0.47 % Propositional clauses : 0
% 0.13/0.47 % Propositional clauses after purity: 0
% 0.13/0.47 % Propositional unsat core size : 0
% 0.13/0.47 % Propositional preprocessing time : 0.000
% 0.13/0.47 % Propositional encoding time : 0.000
% 0.13/0.47 % Propositional solver time : 0.000
% 0.13/0.47 % Success case prop preproc time : 0.000
% 0.13/0.47 % Success case prop encoding time : 0.000
% 0.13/0.47 % Success case prop solver time : 0.000
% 0.13/0.47 % Current number of processed clauses : 39
% 0.13/0.47 % Positive orientable unit clauses : 4
% 0.13/0.47 % Positive unorientable unit clauses: 0
% 0.13/0.47 % Negative unit clauses : 1
% 0.13/0.47 % Non-unit-clauses : 34
% 0.13/0.47 % Current number of unprocessed clauses: 1722
% 0.13/0.47 % ...number of literals in the above : 10859
% 0.13/0.47 % Current number of archived formulas : 0
% 0.13/0.47 % Current number of archived clauses : 4
% 0.13/0.47 % Clause-clause subsumption calls (NU) : 420
% 0.13/0.47 % Rec. Clause-clause subsumption calls : 412
% 0.13/0.47 % Non-unit clause-clause subsumptions : 203
% 0.13/0.47 % Unit Clause-clause subsumption calls : 0
% 0.13/0.47 % Rewrite failures with RHS unbound : 0
% 0.13/0.47 % BW rewrite match attempts : 4
% 0.13/0.47 % BW rewrite match successes : 0
% 0.13/0.47 % Condensation attempts : 0
% 0.13/0.47 % Condensation successes : 0
% 0.13/0.47 % Termbank termtop insertions : 68839
% 0.13/0.47 % Search garbage collected termcells : 1641
% 0.13/0.47
% 0.13/0.47 % -------------------------------------------------
% 0.13/0.47 % User time : 0.048 s
% 0.13/0.47 % System time : 0.006 s
% 0.13/0.47 % Total time : 0.054 s
% 0.13/0.47 % Maximum resident set size: 3992 pages
% 0.13/0.47
% 0.13/0.47 % -------------------------------------------------
% 0.13/0.47 % User time : 0.051 s
% 0.13/0.47 % System time : 0.011 s
% 0.13/0.47 % Total time : 0.062 s
% 0.13/0.47 % Maximum resident set size: 4864 pages
% 0.13/0.47 % E exiting
%------------------------------------------------------------------------------