%------------------------------------------------------------------------------
% 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/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 0.24s 0.56s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 typ; 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 ( 4 avg)
% Maximal term depth : 3 ( 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 : 30 ( 0 sgn 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
tff(decl_sort2,type,
mono_2Etyop_2Einteger_2Eint: $tType ).
tff(decl_28,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(decl_71,type,
mono_2Ec_2Einteger_2Eint__add_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint ).
tff(decl_73,type,
mono_2Ec_2Einteger_2Eint__divides_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Ebool ).
tff(decl_75,type,
mono_2Ec_2Einteger_2Eint__neg_2E1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
tff(decl_77,type,
mono_2Ec_2Einteger_2Eint__sub_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint ).
tff(decl_97,type,
esk1_0: mono_2Etyop_2Einteger_2Eint ).
tff(decl_98,type,
esk2_0: mono_2Etyop_2Einteger_2Eint ).
tff(decl_99,type,
esk3_0: mono_2Etyop_2Einteger_2Eint ).
tff(thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
! [X65: mono_2Etyop_2Einteger_2Eint,X66: mono_2Etyop_2Einteger_2Eint,X67: mono_2Etyop_2Einteger_2Eint] :
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(X65,X66))
=> ( mono_2Ec_2Einteger_2Eint__divides_2E2(X65,mono_2Ec_2Einteger_2Eint__sub_2E2(X67,X66)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X65,X67) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
tff(thm_2Einteger_2EINT__DIVIDES__RADD,axiom,
! [X65: mono_2Etyop_2Einteger_2Eint,X66: mono_2Etyop_2Einteger_2Eint,X67: mono_2Etyop_2Einteger_2Eint] :
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(X65,X66))
=> ( mono_2Ec_2Einteger_2Eint__divides_2E2(X65,mono_2Ec_2Einteger_2Eint__add_2E2(X67,X66)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X65,X67) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RADD) ).
tff(thm_2Einteger_2Eint__sub,axiom,
! [X63: mono_2Etyop_2Einteger_2Eint,X64: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__sub_2E2(X63,X64) = mono_2Ec_2Einteger_2Eint__add_2E2(X63,mono_2Ec_2Einteger_2Eint__neg_2E1(X64)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2Eint__sub) ).
tff(thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
! [X65: mono_2Etyop_2Einteger_2Eint,X66: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(X65),X66) = mono_2Ec_2Einteger_2Eint__divides_2E2(X65,X66) )
& ( mono_2Ec_2Einteger_2Eint__divides_2E2(X65,mono_2Ec_2Einteger_2Eint__neg_2E1(X66)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X65,X66) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
tff(c_0_4,negated_conjecture,
~ ! [X65: mono_2Etyop_2Einteger_2Eint,X66: mono_2Etyop_2Einteger_2Eint,X67: mono_2Etyop_2Einteger_2Eint] :
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(X65,X66))
=> ( mono_2Ec_2Einteger_2Eint__divides_2E2(X65,mono_2Ec_2Einteger_2Eint__sub_2E2(X67,X66)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X65,X67) ) ),
inference(assume_negation,[status(cth)],[thm_2Einteger_2EINT__DIVIDES__RSUB]) ).
tff(c_0_5,plain,
! [X81: mono_2Etyop_2Einteger_2Eint,X82: mono_2Etyop_2Einteger_2Eint,X83: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(X81,mono_2Ec_2Einteger_2Eint__add_2E2(X83,X82)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X81,X83) )
| ~ p(mono_2Ec_2Einteger_2Eint__divides_2E2(X81,X82)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__RADD])])]) ).
tff(c_0_6,plain,
! [X86: mono_2Etyop_2Einteger_2Eint,X87: mono_2Etyop_2Einteger_2Eint] : ( mono_2Ec_2Einteger_2Eint__sub_2E2(X86,X87) = mono_2Ec_2Einteger_2Eint__add_2E2(X86,mono_2Ec_2Einteger_2Eint__neg_2E1(X87)) ),
inference(variable_rename,[status(thm)],[thm_2Einteger_2Eint__sub]) ).
tff(c_0_7,plain,
! [X84: mono_2Etyop_2Einteger_2Eint,X85: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(X84),X85) = mono_2Ec_2Einteger_2Eint__divides_2E2(X84,X85) )
& ( mono_2Ec_2Einteger_2Eint__divides_2E2(X84,mono_2Ec_2Einteger_2Eint__neg_2E1(X85)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X84,X85) ) ),
inference(variable_rename,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__NEG]) ).
tff(c_0_8,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])])])]) ).
tcf(c_0_9,plain,
! [X29: mono_2Etyop_2Einteger_2Eint,X37: mono_2Etyop_2Einteger_2Eint,X36: mono_2Etyop_2Einteger_2Eint] :
( ~ p(mono_2Ec_2Einteger_2Eint__divides_2E2(X29,X36))
| ( mono_2Ec_2Einteger_2Eint__divides_2E2(X29,mono_2Ec_2Einteger_2Eint__add_2E2(X37,X36)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X29,X37) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_10,plain,
! [X29: mono_2Etyop_2Einteger_2Eint,X36: mono_2Etyop_2Einteger_2Eint] : mono_2Ec_2Einteger_2Eint__sub_2E2(X29,X36) = mono_2Ec_2Einteger_2Eint__add_2E2(X29,mono_2Ec_2Einteger_2Eint__neg_2E1(X36)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_11,plain,
! [X29: mono_2Etyop_2Einteger_2Eint,X36: mono_2Etyop_2Einteger_2Eint] : mono_2Ec_2Einteger_2Eint__divides_2E2(X29,mono_2Ec_2Einteger_2Eint__neg_2E1(X36)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X29,X36),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_12,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_8]) ).
tcf(c_0_13,plain,
! [X29: mono_2Etyop_2Einteger_2Eint,X36: mono_2Etyop_2Einteger_2Eint,X37: mono_2Etyop_2Einteger_2Eint] :
( ~ p(mono_2Ec_2Einteger_2Eint__divides_2E2(X29,X37))
| ( mono_2Ec_2Einteger_2Eint__divides_2E2(X29,mono_2Ec_2Einteger_2Eint__sub_2E2(X36,X37)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X29,X36) ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
tcf(c_0_14,negated_conjecture,
p(mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,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
% 0.00/0.05 % Problem : ITP012_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n003.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 20 21:47:16 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.51 Running first-order theorem proving
% 0.24/0.51 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
% 0.24/0.56 % Version: 3.5.1
% 0.24/0.56 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.24/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.24/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.56 % Starting sh5l with 300s (1) cores
% 0.24/0.56 % new_bool_3 with pid 2636256 completed with status 0
% 0.24/0.56 % Result found by new_bool_3
% 0.24/0.56 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.24/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.24/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.56 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.56 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.56 % Search class: FGUSS-FFMF21-SFFFFFNN
% 0.24/0.56 % partial match(1): FGUSS-FFSF21-SFFFFFNN
% 0.24/0.56 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.56 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.56 % SubtermCWHack with pid 2636259 completed with status 0
% 0.24/0.56 % Result found by SubtermCWHack
% 0.24/0.56 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.24/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.24/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.56 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.56 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.56 % Search class: FGUSS-FFMF21-SFFFFFNN
% 0.24/0.56 % partial match(1): FGUSS-FFSF21-SFFFFFNN
% 0.24/0.56 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.56 % Starting SubtermCWHack with 31s (1) cores
% 0.24/0.56 % Preprocessing time : 0.002 s
% 0.24/0.56
% 0.24/0.56 % Proof found!
% 0.24/0.56 % SZS status Theorem
% 0.24/0.56 % SZS output start CNFRefutation
% See solution above
% 0.24/0.56 % Parsed axioms : 158
% 0.24/0.56 % Removed by relevancy pruning/SinE : 143
% 0.24/0.56 % Initial clauses : 213
% 0.24/0.56 % Removed in clause preprocessing : 181
% 0.24/0.56 % Initial clauses in saturation : 32
% 0.24/0.56 % Processed clauses : 86
% 0.24/0.56 % ...of these trivial : 0
% 0.24/0.56 % ...subsumed : 49
% 0.24/0.56 % ...remaining for further processing : 37
% 0.24/0.56 % Other redundant clauses eliminated : 47
% 0.24/0.56 % Clauses deleted for lack of memory : 0
% 0.24/0.56 % Backward-subsumed : 0
% 0.24/0.56 % Backward-rewritten : 0
% 0.24/0.56 % Generated clauses : 401
% 0.24/0.56 % ...of the previous two non-redundant : 218
% 0.24/0.56 % ...aggressively subsumed : 0
% 0.24/0.56 % Contextual simplify-reflections : 0
% 0.24/0.56 % Paramodulations : 277
% 0.24/0.56 % Factorizations : 77
% 0.24/0.56 % NegExts : 0
% 0.24/0.56 % Equation resolutions : 47
% 0.24/0.56 % Disequality decompositions : 0
% 0.24/0.56 % Total rewrite steps : 96
% 0.24/0.56 % ...of those cached : 91
% 0.24/0.56 % Propositional unsat checks : 0
% 0.24/0.56 % Propositional check models : 0
% 0.24/0.56 % Propositional check unsatisfiable : 0
% 0.24/0.56 % Propositional clauses : 0
% 0.24/0.56 % Propositional clauses after purity: 0
% 0.24/0.56 % Propositional unsat core size : 0
% 0.24/0.56 % Propositional preprocessing time : 0.000
% 0.24/0.56 % Propositional encoding time : 0.000
% 0.24/0.56 % Propositional solver time : 0.000
% 0.24/0.56 % Success case prop preproc time : 0.000
% 0.24/0.56 % Success case prop encoding time : 0.000
% 0.24/0.56 % Success case prop solver time : 0.000
% 0.24/0.56 % Current number of processed clauses : 33
% 0.24/0.56 % Positive orientable unit clauses : 4
% 0.24/0.56 % Positive unorientable unit clauses: 0
% 0.24/0.56 % Negative unit clauses : 1
% 0.24/0.56 % Non-unit-clauses : 28
% 0.24/0.56 % Current number of unprocessed clauses: 161
% 0.24/0.56 % ...number of literals in the above : 731
% 0.24/0.56 % Current number of archived formulas : 0
% 0.24/0.56 % Current number of archived clauses : 0
% 0.24/0.56 % Clause-clause subsumption calls (NU) : 362
% 0.24/0.56 % Rec. Clause-clause subsumption calls : 245
% 0.24/0.56 % Non-unit clause-clause subsumptions : 49
% 0.24/0.56 % Unit Clause-clause subsumption calls : 0
% 0.24/0.56 % Rewrite failures with RHS unbound : 0
% 0.24/0.56 % BW rewrite match attempts : 0
% 0.24/0.56 % BW rewrite match successes : 0
% 0.24/0.56 % Condensation attempts : 0
% 0.24/0.56 % Condensation successes : 0
% 0.24/0.56 % Termbank termtop insertions : 9866
% 0.24/0.56 % Search garbage collected termcells : 1775
% 0.24/0.56
% 0.24/0.56 % -------------------------------------------------
% 0.24/0.56 % User time : 0.019 s
% 0.24/0.56 % System time : 0.002 s
% 0.24/0.56 % Total time : 0.021 s
% 0.24/0.56 % Maximum resident set size: 4084 pages
% 0.24/0.56
% 0.24/0.56 % -------------------------------------------------
% 0.24/0.56 % User time : 0.027 s
% 0.24/0.56 % System time : 0.009 s
% 0.24/0.56 % Total time : 0.036 s
% 0.24/0.56 % Maximum resident set size: 5120 pages
% 0.24/0.56 % E exiting
%------------------------------------------------------------------------------