TSTP Solution File: GEO089+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO089+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : 600s
% DateTime : Sat Jul 16 03:43:17 EDT 2022
% Result : Theorem 8.77s 2.44s
% Output : CNFRefutation 8.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 47 ( 15 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 152 ( 55 ~; 70 |; 20 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn 26 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(corollary_2_11,conjecture,
! [X1,X3] :
( ? [X8] :
( part_of(X8,X1)
& inner_point(X3,X8) )
=> inner_point(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_11) ).
fof(inner_point_defn,axiom,
! [X3,X1] :
( inner_point(X3,X1)
<=> ( incident_c(X3,X1)
& ~ end_point(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).
fof(end_point_defn,axiom,
! [X3,X1] :
( end_point(X3,X1)
<=> ( incident_c(X3,X1)
& ! [X2,X4] :
( ( part_of(X2,X1)
& part_of(X4,X1)
& incident_c(X3,X2)
& incident_c(X3,X4) )
=> ( part_of(X2,X4)
| part_of(X4,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',end_point_defn) ).
fof(part_of_defn,axiom,
! [X1,X2] :
( part_of(X2,X1)
<=> ! [X3] :
( incident_c(X3,X2)
=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X3] :
( ? [X8] :
( part_of(X8,X1)
& inner_point(X3,X8) )
=> inner_point(X3,X1) ),
inference(assume_negation,[status(cth)],[corollary_2_11]) ).
fof(c_0_5,plain,
! [X32,X33] :
( ( incident_c(X32,X33)
| ~ inner_point(X32,X33) )
& ( ~ end_point(X32,X33)
| ~ inner_point(X32,X33) )
& ( ~ incident_c(X32,X33)
| end_point(X32,X33)
| inner_point(X32,X33) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[inner_point_defn])])])]) ).
fof(c_0_6,negated_conjecture,
( part_of(esk16_0,esk14_0)
& inner_point(esk15_0,esk16_0)
& ~ inner_point(esk15_0,esk14_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,plain,
! [X24,X25,X26,X27,X28,X29] :
( ( incident_c(X24,X25)
| ~ end_point(X24,X25) )
& ( ~ part_of(X26,X25)
| ~ part_of(X27,X25)
| ~ incident_c(X24,X26)
| ~ incident_c(X24,X27)
| part_of(X26,X27)
| part_of(X27,X26)
| ~ end_point(X24,X25) )
& ( part_of(esk3_2(X28,X29),X29)
| ~ incident_c(X28,X29)
| end_point(X28,X29) )
& ( part_of(esk4_2(X28,X29),X29)
| ~ incident_c(X28,X29)
| end_point(X28,X29) )
& ( incident_c(X28,esk3_2(X28,X29))
| ~ incident_c(X28,X29)
| end_point(X28,X29) )
& ( incident_c(X28,esk4_2(X28,X29))
| ~ incident_c(X28,X29)
| end_point(X28,X29) )
& ( ~ part_of(esk3_2(X28,X29),esk4_2(X28,X29))
| ~ incident_c(X28,X29)
| end_point(X28,X29) )
& ( ~ part_of(esk4_2(X28,X29),esk3_2(X28,X29))
| ~ incident_c(X28,X29)
| end_point(X28,X29) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[end_point_defn])])])])])]) ).
cnf(c_0_8,plain,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
inner_point(esk15_0,esk16_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ end_point(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_11,plain,
! [X9,X10,X11,X12,X13] :
( ( ~ part_of(X10,X9)
| ~ incident_c(X11,X10)
| incident_c(X11,X9) )
& ( incident_c(esk1_2(X12,X13),X13)
| part_of(X13,X12) )
& ( ~ incident_c(esk1_2(X12,X13),X12)
| part_of(X13,X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[part_of_defn])])])])])]) ).
cnf(c_0_12,plain,
( part_of(esk4_2(X1,X2),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
incident_c(esk15_0,esk16_0),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
~ end_point(esk15_0,esk16_0),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_15,plain,
( incident_c(X3,X2)
| ~ part_of(X1,X2)
| ~ incident_c(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
part_of(esk16_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
part_of(esk4_2(esk15_0,esk16_0),esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_18,plain,
( part_of(esk3_2(X1,X2),X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,negated_conjecture,
( incident_c(X1,esk14_0)
| ~ incident_c(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( incident_c(X1,esk16_0)
| ~ incident_c(X1,esk4_2(esk15_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_17]) ).
cnf(c_0_21,plain,
( incident_c(esk1_2(X1,X2),X2)
| part_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,negated_conjecture,
part_of(esk3_2(esk15_0,esk16_0),esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_13]),c_0_14]) ).
cnf(c_0_23,plain,
( end_point(X1,X2)
| inner_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
incident_c(esk15_0,esk14_0),
inference(spm,[status(thm)],[c_0_19,c_0_13]) ).
cnf(c_0_25,negated_conjecture,
~ inner_point(esk15_0,esk14_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,negated_conjecture,
( incident_c(esk1_2(X1,esk4_2(esk15_0,esk16_0)),esk16_0)
| part_of(esk4_2(esk15_0,esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( incident_c(X1,esk16_0)
| ~ incident_c(X1,esk3_2(esk15_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_22]) ).
cnf(c_0_28,plain,
( part_of(X1,X3)
| part_of(X3,X1)
| ~ part_of(X1,X2)
| ~ part_of(X3,X2)
| ~ incident_c(X4,X1)
| ~ incident_c(X4,X3)
| ~ end_point(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_29,negated_conjecture,
end_point(esk15_0,esk14_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_30,plain,
( incident_c(X1,esk4_2(X1,X2))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_31,plain,
( part_of(X2,X1)
| ~ incident_c(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_32,negated_conjecture,
( incident_c(esk1_2(X1,esk4_2(esk15_0,esk16_0)),esk14_0)
| part_of(esk4_2(esk15_0,esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_26]) ).
cnf(c_0_33,negated_conjecture,
( incident_c(esk1_2(X1,esk3_2(esk15_0,esk16_0)),esk16_0)
| part_of(esk3_2(esk15_0,esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_21]) ).
cnf(c_0_34,negated_conjecture,
( part_of(X1,X2)
| part_of(X2,X1)
| ~ incident_c(esk15_0,X2)
| ~ incident_c(esk15_0,X1)
| ~ part_of(X2,esk14_0)
| ~ part_of(X1,esk14_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,negated_conjecture,
incident_c(esk15_0,esk4_2(esk15_0,esk16_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_13]),c_0_14]) ).
cnf(c_0_36,negated_conjecture,
part_of(esk4_2(esk15_0,esk16_0),esk14_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
( incident_c(X1,esk3_2(X1,X2))
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_38,negated_conjecture,
( incident_c(esk1_2(X1,esk3_2(esk15_0,esk16_0)),esk14_0)
| part_of(esk3_2(esk15_0,esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( part_of(esk4_2(esk15_0,esk16_0),X1)
| part_of(X1,esk4_2(esk15_0,esk16_0))
| ~ incident_c(esk15_0,X1)
| ~ part_of(X1,esk14_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_40,negated_conjecture,
incident_c(esk15_0,esk3_2(esk15_0,esk16_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_13]),c_0_14]) ).
cnf(c_0_41,negated_conjecture,
part_of(esk3_2(esk15_0,esk16_0),esk14_0),
inference(spm,[status(thm)],[c_0_31,c_0_38]) ).
cnf(c_0_42,plain,
( end_point(X1,X2)
| ~ part_of(esk4_2(X1,X2),esk3_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_43,negated_conjecture,
( part_of(esk3_2(esk15_0,esk16_0),esk4_2(esk15_0,esk16_0))
| part_of(esk4_2(esk15_0,esk16_0),esk3_2(esk15_0,esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_44,plain,
( end_point(X1,X2)
| ~ part_of(esk3_2(X1,X2),esk4_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_45,negated_conjecture,
part_of(esk3_2(esk15_0,esk16_0),esk4_2(esk15_0,esk16_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_13])]),c_0_14]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_13])]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO089+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 19:45:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.44 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.77/2.44 # ENIGMATIC: Solved by autoschedule:
% 8.77/2.44 # No SInE strategy applied
% 8.77/2.44 # Trying AutoSched0 for 150 seconds
% 8.77/2.44 # AutoSched0-Mode selected heuristic G_E___107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U
% 8.77/2.44 # and selection function SelectNewComplexAHPExceptRRHorn.
% 8.77/2.44 #
% 8.77/2.44 # Preprocessing time : 0.022 s
% 8.77/2.44 # Presaturation interreduction done
% 8.77/2.44
% 8.77/2.44 # Proof found!
% 8.77/2.44 # SZS status Theorem
% 8.77/2.44 # SZS output start CNFRefutation
% See solution above
% 8.77/2.44 # Training examples: 0 positive, 0 negative
% 8.77/2.44
% 8.77/2.44 # -------------------------------------------------
% 8.77/2.44 # User time : 0.036 s
% 8.77/2.44 # System time : 0.004 s
% 8.77/2.44 # Total time : 0.040 s
% 8.77/2.44 # Maximum resident set size: 7120 pages
% 8.77/2.44
%------------------------------------------------------------------------------