TSTP Solution File: ITP012_1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP012_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 : Sat May 4 08:08:50 EDT 2024
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of formulae : 26 ( 7 unt; 10 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 : 8 ( 5 >; 3 *; 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_27,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(decl_70,type,
mono_2Ec_2Einteger_2Eint__add_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint ).
tff(decl_72,type,
mono_2Ec_2Einteger_2Eint__divides_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Ebool ).
tff(decl_74,type,
mono_2Ec_2Einteger_2Eint__neg_2E1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
tff(decl_76,type,
mono_2Ec_2Einteger_2Eint__sub_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Einteger_2Eint ).
tff(decl_96,type,
esk1_0: mono_2Etyop_2Einteger_2Eint ).
tff(decl_97,type,
esk2_0: mono_2Etyop_2Einteger_2Eint ).
tff(decl_98,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/sandbox/tmp/tmp.735YDK4TSC/E---3.1_13014.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/sandbox/tmp/tmp.735YDK4TSC/E---3.1_13014.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/sandbox/tmp/tmp.735YDK4TSC/E---3.1_13014.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(X65,mono_2Ec_2Einteger_2Eint__neg_2E1(X66)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X65,X66) )
& ( mono_2Ec_2Einteger_2Eint__divides_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(X65),X66) = mono_2Ec_2Einteger_2Eint__divides_2E2(X65,X66) ) ),
file('/export/starexec/sandbox/tmp/tmp.735YDK4TSC/E---3.1_13014.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] :
( ~ p(mono_2Ec_2Einteger_2Eint__divides_2E2(X81,X82))
| ( mono_2Ec_2Einteger_2Eint__divides_2E2(X81,mono_2Ec_2Einteger_2Eint__add_2E2(X83,X82)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X81,X83) ) ),
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(X84,mono_2Ec_2Einteger_2Eint__neg_2E1(X85)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X84,X85) )
& ( mono_2Ec_2Einteger_2Eint__divides_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(X84),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,
( p(mono_2Ec_2Einteger_2Eint__divides_2E2(esk1_0,esk2_0))
& ( 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(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] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(X29,mono_2Ec_2Einteger_2Eint__add_2E2(X37,X36)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X29,X37) )
| ~ p(mono_2Ec_2Einteger_2Eint__divides_2E2(X29,X36)) ),
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] :
( ( mono_2Ec_2Einteger_2Eint__divides_2E2(X29,mono_2Ec_2Einteger_2Eint__sub_2E2(X36,X37)) = mono_2Ec_2Einteger_2Eint__divides_2E2(X29,X36) )
| ~ p(mono_2Ec_2Einteger_2Eint__divides_2E2(X29,X37)) ),
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
% 0.06/0.10 % Problem : ITP012_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 12:21:48 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.45 Running first-order model finding
% 0.19/0.45 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.735YDK4TSC/E---3.1_13014.p
% 0.19/0.48 # Version: 3.1.0
% 0.19/0.48 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48 # Starting sh5l with 300s (1) cores
% 0.19/0.48 # new_bool_3 with pid 13093 completed with status 0
% 0.19/0.48 # Result found by new_bool_3
% 0.19/0.48 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.48 # Search class: FGUSS-FFMF21-SFFFFFNN
% 0.19/0.48 # partial match(1): FGUSS-FFSF21-SFFFFFNN
% 0.19/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.48 # SAT001_MinMin_p005000_rr_RG with pid 13096 completed with status 0
% 0.19/0.48 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/0.48 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.48 # Search class: FGUSS-FFMF21-SFFFFFNN
% 0.19/0.48 # partial match(1): FGUSS-FFSF21-SFFFFFNN
% 0.19/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.48 # Preprocessing time : 0.002 s
% 0.19/0.48 # Presaturation interreduction done
% 0.19/0.48
% 0.19/0.48 # Proof found!
% 0.19/0.48 # SZS status Theorem
% 0.19/0.48 # SZS output start CNFRefutation
% See solution above
% 0.19/0.48 # Parsed axioms : 158
% 0.19/0.48 # Removed by relevancy pruning/SinE : 143
% 0.19/0.48 # Initial clauses : 213
% 0.19/0.48 # Removed in clause preprocessing : 181
% 0.19/0.48 # Initial clauses in saturation : 32
% 0.19/0.48 # Processed clauses : 171
% 0.19/0.48 # ...of these trivial : 1
% 0.19/0.48 # ...subsumed : 102
% 0.19/0.48 # ...remaining for further processing : 68
% 0.19/0.48 # Other redundant clauses eliminated : 90
% 0.19/0.48 # Clauses deleted for lack of memory : 0
% 0.19/0.48 # Backward-subsumed : 0
% 0.19/0.48 # Backward-rewritten : 0
% 0.19/0.48 # Generated clauses : 606
% 0.19/0.48 # ...of the previous two non-redundant : 346
% 0.19/0.48 # ...aggressively subsumed : 0
% 0.19/0.48 # Contextual simplify-reflections : 0
% 0.19/0.48 # Paramodulations : 446
% 0.19/0.48 # Factorizations : 70
% 0.19/0.48 # NegExts : 0
% 0.19/0.48 # Equation resolutions : 90
% 0.19/0.48 # Disequality decompositions : 0
% 0.19/0.48 # Total rewrite steps : 117
% 0.19/0.48 # ...of those cached : 112
% 0.19/0.48 # Propositional unsat checks : 0
% 0.19/0.48 # Propositional check models : 0
% 0.19/0.48 # Propositional check unsatisfiable : 0
% 0.19/0.48 # Propositional clauses : 0
% 0.19/0.48 # Propositional clauses after purity: 0
% 0.19/0.48 # Propositional unsat core size : 0
% 0.19/0.48 # Propositional preprocessing time : 0.000
% 0.19/0.48 # Propositional encoding time : 0.000
% 0.19/0.48 # Propositional solver time : 0.000
% 0.19/0.48 # Success case prop preproc time : 0.000
% 0.19/0.48 # Success case prop encoding time : 0.000
% 0.19/0.48 # Success case prop solver time : 0.000
% 0.19/0.48 # Current number of processed clauses : 44
% 0.19/0.48 # Positive orientable unit clauses : 4
% 0.19/0.48 # Positive unorientable unit clauses: 0
% 0.19/0.48 # Negative unit clauses : 1
% 0.19/0.48 # Non-unit-clauses : 39
% 0.19/0.48 # Current number of unprocessed clauses: 222
% 0.19/0.48 # ...number of literals in the above : 1338
% 0.19/0.48 # Current number of archived formulas : 0
% 0.19/0.48 # Current number of archived clauses : 20
% 0.19/0.48 # Clause-clause subsumption calls (NU) : 840
% 0.19/0.48 # Rec. Clause-clause subsumption calls : 503
% 0.19/0.48 # Non-unit clause-clause subsumptions : 101
% 0.19/0.48 # Unit Clause-clause subsumption calls : 0
% 0.19/0.48 # Rewrite failures with RHS unbound : 0
% 0.19/0.48 # BW rewrite match attempts : 0
% 0.19/0.48 # BW rewrite match successes : 0
% 0.19/0.48 # Condensation attempts : 0
% 0.19/0.48 # Condensation successes : 0
% 0.19/0.48 # Termbank termtop insertions : 12253
% 0.19/0.48 # Search garbage collected termcells : 1775
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.017 s
% 0.19/0.48 # System time : 0.003 s
% 0.19/0.48 # Total time : 0.019 s
% 0.19/0.48 # Maximum resident set size: 2184 pages
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.021 s
% 0.19/0.48 # System time : 0.003 s
% 0.19/0.48 # Total time : 0.024 s
% 0.19/0.48 # Maximum resident set size: 1896 pages
% 0.19/0.48 % E---3.1 exiting
%------------------------------------------------------------------------------