TSTP Solution File: GEO127+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO127+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 03:43:34 EDT 2022
% Result : Theorem 7.07s 2.91s
% Output : CNFRefutation 7.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 22 unt; 0 def)
% Number of atoms : 153 ( 9 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 161 ( 59 ~; 64 |; 28 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 86 ( 7 sgn 46 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_4_12,conjecture,
! [X9,X3] :
( incident_o(X3,X9)
<=> ? [X5] :
( ordered_by(X9,X3,X5)
| ordered_by(X9,X5,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_12) ).
fof(o1,axiom,
! [X9,X3,X5] :
( ordered_by(X9,X3,X5)
=> ( incident_o(X3,X9)
& incident_o(X5,X9) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax',o1) ).
fof(start_point_defn,axiom,
! [X3,X9] :
( start_point(X3,X9)
<=> ( incident_o(X3,X9)
& ! [X5] :
( ( X3 != X5
& incident_o(X5,X9) )
=> ordered_by(X9,X3,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax',start_point_defn) ).
fof(o4,axiom,
! [X9] :
? [X3] : start_point(X3,X9),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax',o4) ).
fof(open_defn,axiom,
! [X1] :
( open(X1)
<=> ? [X3] : end_point(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',open_defn) ).
fof(o2,axiom,
! [X9] :
? [X1] :
( open(X1)
& ! [X3] :
( incident_o(X3,X9)
<=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax',o2) ).
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(c3,axiom,
! [X1] :
? [X3] : inner_point(X3,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',c3) ).
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(c_0_9,negated_conjecture,
~ ! [X9,X3] :
( incident_o(X3,X9)
<=> ? [X5] :
( ordered_by(X9,X3,X5)
| ordered_by(X9,X5,X3) ) ),
inference(assume_negation,[status(cth)],[theorem_4_12]) ).
fof(c_0_10,plain,
! [X111,X112,X113] :
( ( incident_o(X112,X111)
| ~ ordered_by(X111,X112,X113) )
& ( incident_o(X113,X111)
| ~ ordered_by(X111,X112,X113) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[o1])])]) ).
fof(c_0_11,negated_conjecture,
! [X152] :
( ( ~ ordered_by(esk25_0,esk26_0,X152)
| ~ incident_o(esk26_0,esk25_0) )
& ( ~ ordered_by(esk25_0,X152,esk26_0)
| ~ incident_o(esk26_0,esk25_0) )
& ( incident_o(esk26_0,esk25_0)
| ordered_by(esk25_0,esk26_0,esk27_0)
| ordered_by(esk25_0,esk27_0,esk26_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
cnf(c_0_12,plain,
( incident_o(X1,X2)
| ~ ordered_by(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( incident_o(esk26_0,esk25_0)
| ordered_by(esk25_0,esk26_0,esk27_0)
| ordered_by(esk25_0,esk27_0,esk26_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X99,X100,X101,X102,X103] :
( ( incident_o(X99,X100)
| ~ start_point(X99,X100) )
& ( X99 = X101
| ~ incident_o(X101,X100)
| ordered_by(X100,X99,X101)
| ~ start_point(X99,X100) )
& ( X102 != esk15_2(X102,X103)
| ~ incident_o(X102,X103)
| start_point(X102,X103) )
& ( incident_o(esk15_2(X102,X103),X103)
| ~ incident_o(X102,X103)
| start_point(X102,X103) )
& ( ~ ordered_by(X103,X102,esk15_2(X102,X103))
| ~ incident_o(X102,X103)
| start_point(X102,X103) ) ),
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)],[start_point_defn])])])])])]) ).
fof(c_0_15,plain,
! [X131] : start_point(esk20_1(X131),X131),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[o4])]) ).
cnf(c_0_16,plain,
( incident_o(X1,X2)
| ~ ordered_by(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( incident_o(esk26_0,esk25_0)
| ordered_by(esk25_0,esk26_0,esk27_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( X1 = X2
| ordered_by(X3,X1,X2)
| ~ incident_o(X2,X3)
| ~ start_point(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
start_point(esk20_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( ~ ordered_by(esk25_0,X1,esk26_0)
| ~ incident_o(esk26_0,esk25_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,negated_conjecture,
incident_o(esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_22,plain,
! [X49,X51,X52] :
( ( ~ open(X49)
| end_point(esk7_1(X49),X49) )
& ( ~ end_point(X52,X51)
| open(X51) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[open_defn])])])])]) ).
fof(c_0_23,plain,
! [X114,X116,X117] :
( open(esk17_1(X114))
& ( ~ incident_o(X116,X114)
| incident_c(X116,esk17_1(X114)) )
& ( ~ incident_c(X117,esk17_1(X114))
| incident_o(X117,X114) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[o2])])])])]) ).
cnf(c_0_24,plain,
( esk20_1(X1) = X2
| ordered_by(X1,esk20_1(X1),X2)
| ~ incident_o(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
~ ordered_by(esk25_0,X1,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).
fof(c_0_26,plain,
! [X35,X36] :
( ( incident_c(X35,X36)
| ~ inner_point(X35,X36) )
& ( ~ end_point(X35,X36)
| ~ inner_point(X35,X36) )
& ( ~ incident_c(X35,X36)
| end_point(X35,X36)
| inner_point(X35,X36) ) ),
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_27,plain,
! [X60] : inner_point(esk8_1(X60),X60),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c3])]) ).
fof(c_0_28,plain,
! [X27,X28,X29,X30,X31,X32] :
( ( incident_c(X27,X28)
| ~ end_point(X27,X28) )
& ( ~ part_of(X29,X28)
| ~ part_of(X30,X28)
| ~ incident_c(X27,X29)
| ~ incident_c(X27,X30)
| part_of(X29,X30)
| part_of(X30,X29)
| ~ end_point(X27,X28) )
& ( part_of(esk3_2(X31,X32),X32)
| ~ incident_c(X31,X32)
| end_point(X31,X32) )
& ( part_of(esk4_2(X31,X32),X32)
| ~ incident_c(X31,X32)
| end_point(X31,X32) )
& ( incident_c(X31,esk3_2(X31,X32))
| ~ incident_c(X31,X32)
| end_point(X31,X32) )
& ( incident_c(X31,esk4_2(X31,X32))
| ~ incident_c(X31,X32)
| end_point(X31,X32) )
& ( ~ part_of(esk3_2(X31,X32),esk4_2(X31,X32))
| ~ incident_c(X31,X32)
| end_point(X31,X32) )
& ( ~ part_of(esk4_2(X31,X32),esk3_2(X31,X32))
| ~ incident_c(X31,X32)
| end_point(X31,X32) ) ),
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_29,plain,
( end_point(esk7_1(X1),X1)
| ~ open(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
open(esk17_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
esk20_1(esk25_0) = esk26_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_21]),c_0_25]) ).
cnf(c_0_32,negated_conjecture,
( ~ ordered_by(esk25_0,esk26_0,X1)
| ~ incident_o(esk26_0,esk25_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,plain,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
inner_point(esk8_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( incident_c(X1,X2)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
end_point(esk7_1(esk17_1(X1)),esk17_1(X1)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
start_point(esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_19,c_0_31]) ).
cnf(c_0_38,negated_conjecture,
~ ordered_by(esk25_0,esk26_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_21])]) ).
cnf(c_0_39,plain,
( incident_o(X1,X2)
| ~ incident_c(X1,esk17_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_40,plain,
incident_c(esk8_1(X1),X1),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,plain,
incident_c(esk7_1(esk17_1(X1)),esk17_1(X1)),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
( ~ end_point(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_43,negated_conjecture,
( esk26_0 = X1
| ~ incident_o(X1,esk25_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_37]),c_0_38]) ).
cnf(c_0_44,plain,
incident_o(esk8_1(esk17_1(X1)),X1),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
incident_o(esk7_1(esk17_1(X1)),X1),
inference(spm,[status(thm)],[c_0_39,c_0_41]) ).
cnf(c_0_46,plain,
~ end_point(esk8_1(X1),X1),
inference(spm,[status(thm)],[c_0_42,c_0_34]) ).
cnf(c_0_47,negated_conjecture,
esk8_1(esk17_1(esk25_0)) = esk26_0,
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
esk7_1(esk17_1(esk25_0)) = esk26_0,
inference(spm,[status(thm)],[c_0_43,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
~ end_point(esk26_0,esk17_1(esk25_0)),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_48]),c_0_49]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : GEO127+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.08/0.30 % Computer : n032.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 600
% 0.08/0.30 % DateTime : Sat Jun 18 16:52:33 EDT 2022
% 0.08/0.30 % CPUTime :
% 0.13/0.37 # ENIGMATIC: Selected SinE mode:
% 0.13/0.38 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.13/0.38 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.13/0.38 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.07/2.91 # ENIGMATIC: Solved by autoschedule:
% 7.07/2.91 # No SInE strategy applied
% 7.07/2.91 # Trying AutoSched0 for 150 seconds
% 7.07/2.91 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S002A
% 7.07/2.91 # and selection function SelectNegativeLiterals.
% 7.07/2.91 #
% 7.07/2.91 # Preprocessing time : 0.016 s
% 7.07/2.91 # Presaturation interreduction done
% 7.07/2.91
% 7.07/2.91 # Proof found!
% 7.07/2.91 # SZS status Theorem
% 7.07/2.91 # SZS output start CNFRefutation
% See solution above
% 7.07/2.91 # Training examples: 0 positive, 0 negative
% 7.07/2.91
% 7.07/2.91 # -------------------------------------------------
% 7.07/2.91 # User time : 0.020 s
% 7.07/2.91 # System time : 0.004 s
% 7.07/2.91 # Total time : 0.025 s
% 7.07/2.91 # Maximum resident set size: 7120 pages
% 7.07/2.91
%------------------------------------------------------------------------------