TSTP Solution File: ITP012^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP012^1 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 : Mon May 20 22:15:27 EDT 2024
% Result : Theorem 0.21s 0.52s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 29 ( 6 unt; 8 typ; 0 def)
% Number of atoms : 58 ( 3 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 222 ( 25 ~; 22 |; 7 &; 160 @)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 0 ^ 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mono_2Etyop_2Einteger_2Eint: $tType ).
thf(decl_65,type,
mono_2Ec_2Einteger_2Eint__add: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(decl_66,type,
mono_2Ec_2Einteger_2Eint__divides: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > $o ).
thf(decl_67,type,
mono_2Ec_2Einteger_2Eint__neg: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(decl_68,type,
mono_2Ec_2Einteger_2Eint__sub: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
thf(decl_86,type,
esk1_0: mono_2Etyop_2Einteger_2Eint ).
thf(decl_87,type,
esk2_0: mono_2Etyop_2Einteger_2Eint ).
thf(decl_88,type,
esk3_0: mono_2Etyop_2Einteger_2Eint ).
thf(thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
! [X55: mono_2Etyop_2Einteger_2Eint,X56: mono_2Etyop_2Einteger_2Eint,X57: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X55 @ X56 )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ X55 @ ( mono_2Ec_2Einteger_2Eint__sub @ X57 @ X56 ) )
<=> ( mono_2Ec_2Einteger_2Eint__divides @ X55 @ X57 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).
thf(thm_2Einteger_2EINT__DIVIDES__RADD,axiom,
! [X55: mono_2Etyop_2Einteger_2Eint,X56: mono_2Etyop_2Einteger_2Eint,X57: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X55 @ X56 )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ X55 @ ( mono_2Ec_2Einteger_2Eint__add @ X57 @ X56 ) )
<=> ( mono_2Ec_2Einteger_2Eint__divides @ X55 @ X57 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RADD) ).
thf(thm_2Einteger_2Eint__sub,axiom,
! [X53: mono_2Etyop_2Einteger_2Eint,X54: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__sub @ X53 @ X54 )
= ( mono_2Ec_2Einteger_2Eint__add @ X53 @ ( mono_2Ec_2Einteger_2Eint__neg @ X54 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2Eint__sub) ).
thf(thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
! [X55: mono_2Etyop_2Einteger_2Eint,X56: mono_2Etyop_2Einteger_2Eint] :
( ( ( mono_2Ec_2Einteger_2Eint__divides @ X55 @ ( mono_2Ec_2Einteger_2Eint__neg @ X56 ) )
<=> ( mono_2Ec_2Einteger_2Eint__divides @ X55 @ X56 ) )
& ( ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ X55 ) @ X56 )
<=> ( mono_2Ec_2Einteger_2Eint__divides @ X55 @ X56 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).
thf(c_0_4,negated_conjecture,
~ ! [X55: mono_2Etyop_2Einteger_2Eint,X56: mono_2Etyop_2Einteger_2Eint,X57: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X55 @ X56 )
=> ( ( mono_2Ec_2Einteger_2Eint__divides @ X55 @ ( mono_2Ec_2Einteger_2Eint__sub @ X57 @ X56 ) )
<=> ( mono_2Ec_2Einteger_2Eint__divides @ X55 @ X57 ) ) ),
inference(assume_negation,[status(cth)],[thm_2Einteger_2EINT__DIVIDES__RSUB]) ).
thf(c_0_5,plain,
! [X81: mono_2Etyop_2Einteger_2Eint,X82: mono_2Etyop_2Einteger_2Eint,X83: mono_2Etyop_2Einteger_2Eint] :
( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ X81 @ ( mono_2Ec_2Einteger_2Eint__add @ X83 @ X82 ) )
| ( mono_2Ec_2Einteger_2Eint__divides @ X81 @ X83 )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X81 @ X82 ) )
& ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ X81 @ X83 )
| ( mono_2Ec_2Einteger_2Eint__divides @ X81 @ ( mono_2Ec_2Einteger_2Eint__add @ X83 @ X82 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X81 @ X82 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__RADD])])])]) ).
thf(c_0_6,plain,
! [X86: mono_2Etyop_2Einteger_2Eint,X87: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__sub @ X86 @ X87 )
= ( mono_2Ec_2Einteger_2Eint__add @ X86 @ ( mono_2Ec_2Einteger_2Eint__neg @ X87 ) ) ),
inference(variable_rename,[status(thm)],[thm_2Einteger_2Eint__sub]) ).
thf(c_0_7,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_8,plain,
! [X20: mono_2Etyop_2Einteger_2Eint,X26: mono_2Etyop_2Einteger_2Eint,X28: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X20 @ ( mono_2Ec_2Einteger_2Eint__add @ X26 @ X28 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X20 @ X26 )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X20 @ X28 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X20: mono_2Etyop_2Einteger_2Eint,X26: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__sub @ X20 @ X26 )
= ( mono_2Ec_2Einteger_2Eint__add @ X20 @ ( mono_2Ec_2Einteger_2Eint__neg @ X26 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X20: mono_2Etyop_2Einteger_2Eint,X26: mono_2Etyop_2Einteger_2Eint,X28: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X20 @ X26 )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X20 @ ( mono_2Ec_2Einteger_2Eint__add @ X26 @ X28 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X20 @ X28 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_11,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_7]) ).
thf(c_0_12,plain,
! [X20: mono_2Etyop_2Einteger_2Eint,X28: mono_2Etyop_2Einteger_2Eint,X26: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X20 @ ( mono_2Ec_2Einteger_2Eint__sub @ X26 @ X28 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X20 @ ( mono_2Ec_2Einteger_2Eint__neg @ X28 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X20 @ X26 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_13,plain,
! [X20: mono_2Etyop_2Einteger_2Eint,X26: mono_2Etyop_2Einteger_2Eint,X28: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X20 @ X26 )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X20 @ ( mono_2Ec_2Einteger_2Eint__sub @ X26 @ X28 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X20 @ ( mono_2Ec_2Einteger_2Eint__neg @ X28 ) ) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
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_7]) ).
thf(c_0_15,negated_conjecture,
( ~ ( mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ ( mono_2Ec_2Einteger_2Eint__neg @ esk2_0 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_16,plain,
! [X84: mono_2Etyop_2Einteger_2Eint,X85: mono_2Etyop_2Einteger_2Eint] :
( ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ X84 @ ( mono_2Ec_2Einteger_2Eint__neg @ X85 ) )
| ( mono_2Ec_2Einteger_2Eint__divides @ X84 @ X85 ) )
& ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ X84 @ X85 )
| ( mono_2Ec_2Einteger_2Eint__divides @ X84 @ ( mono_2Ec_2Einteger_2Eint__neg @ X85 ) ) )
& ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ X84 ) @ X85 )
| ( mono_2Ec_2Einteger_2Eint__divides @ X84 @ X85 ) )
& ( ~ ( mono_2Ec_2Einteger_2Eint__divides @ X84 @ X85 )
| ( mono_2Ec_2Einteger_2Eint__divides @ ( mono_2Ec_2Einteger_2Eint__neg @ X84 ) @ X85 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Einteger_2EINT__DIVIDES__NEG])])]) ).
thf(c_0_17,negated_conjecture,
~ ( mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ ( mono_2Ec_2Einteger_2Eint__neg @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
thf(c_0_18,plain,
! [X20: mono_2Etyop_2Einteger_2Eint,X26: mono_2Etyop_2Einteger_2Eint] :
( ( mono_2Ec_2Einteger_2Eint__divides @ X20 @ ( mono_2Ec_2Einteger_2Eint__neg @ X26 ) )
| ~ ( mono_2Ec_2Einteger_2Eint__divides @ X20 @ X26 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_19,negated_conjecture,
mono_2Ec_2Einteger_2Eint__divides @ esk1_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP012^1 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 16:35:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.50 Running higher-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.21/0.52 # Version: 3.1.0-ho
% 0.21/0.52 # Preprocessing class: HSLSSLSMSSSNSFA.
% 0.21/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52 # Starting additional_ho_4 with 1500s (5) cores
% 0.21/0.52 # Starting pre_casc_8 with 300s (1) cores
% 0.21/0.52 # Starting pre_casc_5 with 300s (1) cores
% 0.21/0.52 # Starting pre_casc_6 with 300s (1) cores
% 0.21/0.52 # pre_casc_5 with pid 26791 completed with status 0
% 0.21/0.52 # Result found by pre_casc_5
% 0.21/0.52 # Preprocessing class: HSLSSLSMSSSNSFA.
% 0.21/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52 # Starting additional_ho_4 with 1500s (5) cores
% 0.21/0.52 # Starting pre_casc_8 with 300s (1) cores
% 0.21/0.52 # Starting pre_casc_5 with 300s (1) cores
% 0.21/0.52 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.21/0.52 # Search class: HGHSF-FFSF21-SSFFFFNN
% 0.21/0.52 # partial match(1): HGHSF-FFSF21-SSFFMFNN
% 0.21/0.52 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52 # Starting new_ho_10 with 163s (1) cores
% 0.21/0.52 # new_ho_10 with pid 26795 completed with status 0
% 0.21/0.52 # Result found by new_ho_10
% 0.21/0.52 # Preprocessing class: HSLSSLSMSSSNSFA.
% 0.21/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52 # Starting additional_ho_4 with 1500s (5) cores
% 0.21/0.52 # Starting pre_casc_8 with 300s (1) cores
% 0.21/0.52 # Starting pre_casc_5 with 300s (1) cores
% 0.21/0.52 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true)
% 0.21/0.52 # Search class: HGHSF-FFSF21-SSFFFFNN
% 0.21/0.52 # partial match(1): HGHSF-FFSF21-SSFFMFNN
% 0.21/0.52 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52 # Starting new_ho_10 with 163s (1) cores
% 0.21/0.52 # Preprocessing time : 0.002 s
% 0.21/0.52 # Presaturation interreduction done
% 0.21/0.52
% 0.21/0.52 # Proof found!
% 0.21/0.52 # SZS status Theorem
% 0.21/0.52 # SZS output start CNFRefutation
% See solution above
% 0.21/0.52 # Parsed axioms : 136
% 0.21/0.52 # Removed by relevancy pruning/SinE : 132
% 0.21/0.52 # Initial clauses : 10
% 0.21/0.52 # Removed in clause preprocessing : 0
% 0.21/0.52 # Initial clauses in saturation : 10
% 0.21/0.52 # Processed clauses : 32
% 0.21/0.52 # ...of these trivial : 0
% 0.21/0.52 # ...subsumed : 3
% 0.21/0.52 # ...remaining for further processing : 29
% 0.21/0.52 # Other redundant clauses eliminated : 0
% 0.21/0.52 # Clauses deleted for lack of memory : 0
% 0.21/0.52 # Backward-subsumed : 1
% 0.21/0.52 # Backward-rewritten : 0
% 0.21/0.52 # Generated clauses : 38
% 0.21/0.52 # ...of the previous two non-redundant : 30
% 0.21/0.52 # ...aggressively subsumed : 0
% 0.21/0.52 # Contextual simplify-reflections : 1
% 0.21/0.52 # Paramodulations : 38
% 0.21/0.52 # Factorizations : 0
% 0.21/0.52 # NegExts : 0
% 0.21/0.52 # Equation resolutions : 0
% 0.21/0.52 # Disequality decompositions : 0
% 0.21/0.52 # Total rewrite steps : 2
% 0.21/0.52 # ...of those cached : 1
% 0.21/0.52 # Propositional unsat checks : 0
% 0.21/0.52 # Propositional check models : 0
% 0.21/0.52 # Propositional check unsatisfiable : 0
% 0.21/0.52 # Propositional clauses : 0
% 0.21/0.52 # Propositional clauses after purity: 0
% 0.21/0.52 # Propositional unsat core size : 0
% 0.21/0.52 # Propositional preprocessing time : 0.000
% 0.21/0.52 # Propositional encoding time : 0.000
% 0.21/0.52 # Propositional solver time : 0.000
% 0.21/0.52 # Success case prop preproc time : 0.000
% 0.21/0.52 # Success case prop encoding time : 0.000
% 0.21/0.52 # Success case prop solver time : 0.000
% 0.21/0.52 # Current number of processed clauses : 18
% 0.21/0.52 # Positive orientable unit clauses : 2
% 0.21/0.52 # Positive unorientable unit clauses: 0
% 0.21/0.52 # Negative unit clauses : 1
% 0.21/0.52 # Non-unit-clauses : 15
% 0.21/0.52 # Current number of unprocessed clauses: 18
% 0.21/0.52 # ...number of literals in the above : 51
% 0.21/0.52 # Current number of archived formulas : 0
% 0.21/0.52 # Current number of archived clauses : 11
% 0.21/0.52 # Clause-clause subsumption calls (NU) : 87
% 0.21/0.52 # Rec. Clause-clause subsumption calls : 87
% 0.21/0.52 # Non-unit clause-clause subsumptions : 4
% 0.21/0.52 # Unit Clause-clause subsumption calls : 1
% 0.21/0.52 # Rewrite failures with RHS unbound : 0
% 0.21/0.52 # BW rewrite match attempts : 0
% 0.21/0.52 # BW rewrite match successes : 0
% 0.21/0.52 # Condensation attempts : 32
% 0.21/0.52 # Condensation successes : 0
% 0.21/0.52 # Termbank termtop insertions : 2767
% 0.21/0.52 # Search garbage collected termcells : 783
% 0.21/0.52
% 0.21/0.52 # -------------------------------------------------
% 0.21/0.52 # User time : 0.004 s
% 0.21/0.52 # System time : 0.003 s
% 0.21/0.52 # Total time : 0.007 s
% 0.21/0.52 # Maximum resident set size: 2112 pages
% 0.21/0.52
% 0.21/0.52 # -------------------------------------------------
% 0.21/0.52 # User time : 0.009 s
% 0.21/0.52 # System time : 0.006 s
% 0.21/0.52 # Total time : 0.014 s
% 0.21/0.52 # Maximum resident set size: 1896 pages
% 0.21/0.52 % E---3.1 exiting
% 0.21/0.52 % E exiting
%------------------------------------------------------------------------------