TSTP Solution File: GEO254+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO254+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 03:44:55 EDT 2022
% Result : Theorem 7.59s 2.47s
% Output : CNFRefutation 7.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 16 unt; 0 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 163 ( 59 ~; 77 |; 21 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 94 ( 4 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X1,X4,X2] :
( ( distinct_points(X1,X4)
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X4,X2) )
=> ( before_on_line(X2,X1,X4)
& before_on_line(X2,X4,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(bf_def,axiom,
! [X2,X1,X4] :
( before_on_line(X2,X1,X4)
<=> ( distinct_points(X1,X4)
& ~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) )
& ~ ( left_apart_point(X4,X2)
| left_apart_point(X4,reverse_line(X2)) )
& ~ unequally_directed_lines(X2,line_connecting(X1,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',bf_def) ).
fof(oag10,axiom,
! [X1,X2] :
~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag10) ).
fof(oag2,axiom,
! [X1,X4,X5] :
( distinct_points(X1,X4)
=> ( distinct_points(X1,X5)
| distinct_points(X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag2) ).
fof(oag1,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag1) ).
fof(oag9,axiom,
! [X2,X3] :
( ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) )
=> ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag9) ).
fof(oag11,axiom,
! [X2,X3] :
~ ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag11) ).
fof(oag6,axiom,
! [X2,X3,X6] :
( unequally_directed_lines(X2,X3)
=> ( unequally_directed_lines(X2,X6)
| unequally_directed_lines(X3,X6) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag6) ).
fof(oagco9,axiom,
! [X1,X4] : ~ unequally_directed_lines(line_connecting(X1,X4),reverse_line(line_connecting(X4,X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oagco9) ).
fof(oag5,axiom,
! [X2] : ~ unequally_directed_lines(X2,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag5) ).
fof(c_0_10,negated_conjecture,
~ ! [X1,X4,X2] :
( ( distinct_points(X1,X4)
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X4,X2) )
=> ( before_on_line(X2,X1,X4)
& before_on_line(X2,X4,X1) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_11,plain,
! [X14,X15,X16] :
( ( distinct_points(X15,X16)
| ~ before_on_line(X14,X15,X16) )
& ( ~ left_apart_point(X15,X14)
| ~ before_on_line(X14,X15,X16) )
& ( ~ left_apart_point(X15,reverse_line(X14))
| ~ before_on_line(X14,X15,X16) )
& ( ~ left_apart_point(X16,X14)
| ~ before_on_line(X14,X15,X16) )
& ( ~ left_apart_point(X16,reverse_line(X14))
| ~ before_on_line(X14,X15,X16) )
& ( ~ unequally_directed_lines(X14,line_connecting(X15,X16))
| ~ before_on_line(X14,X15,X16) )
& ( ~ distinct_points(X15,X16)
| left_apart_point(X15,X14)
| left_apart_point(X15,reverse_line(X14))
| left_apart_point(X16,X14)
| left_apart_point(X16,reverse_line(X14))
| unequally_directed_lines(X14,line_connecting(X15,X16))
| before_on_line(X14,X15,X16) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[bf_def])])])]) ).
fof(c_0_12,plain,
! [X40,X41] :
( ~ left_apart_point(X40,X41)
& ~ left_apart_point(X40,reverse_line(X41)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag10])]) ).
fof(c_0_13,plain,
! [X22,X23,X24] :
( ~ distinct_points(X22,X23)
| distinct_points(X22,X24)
| distinct_points(X23,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag2])]) ).
fof(c_0_14,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& ~ apart_point_and_line(esk1_0,esk3_0)
& ~ apart_point_and_line(esk2_0,esk3_0)
& ( ~ before_on_line(esk3_0,esk1_0,esk2_0)
| ~ before_on_line(esk3_0,esk2_0,esk1_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_10])])])]) ).
cnf(c_0_15,plain,
( left_apart_point(X1,X3)
| left_apart_point(X1,reverse_line(X3))
| left_apart_point(X2,X3)
| left_apart_point(X2,reverse_line(X3))
| unequally_directed_lines(X3,line_connecting(X1,X2))
| before_on_line(X3,X1,X2)
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,plain,
! [X21] : ~ distinct_points(X21,X21),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oag1])]) ).
cnf(c_0_18,plain,
( distinct_points(X1,X3)
| distinct_points(X2,X3)
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( before_on_line(X1,X2,X3)
| unequally_directed_lines(X1,line_connecting(X2,X3))
| ~ distinct_points(X2,X3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_15,c_0_16]),c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_21,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( distinct_points(esk1_0,X1)
| distinct_points(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( ~ before_on_line(esk3_0,esk1_0,esk2_0)
| ~ before_on_line(esk3_0,esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,negated_conjecture,
( before_on_line(X1,esk1_0,esk2_0)
| unequally_directed_lines(X1,line_connecting(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
distinct_points(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_26,plain,
! [X38,X39] :
( ~ unequally_directed_lines(X38,X39)
| ~ unequally_directed_lines(X38,reverse_line(X39))
| left_convergent_lines(X38,X39)
| left_convergent_lines(X38,reverse_line(X39)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag9])]) ).
fof(c_0_27,plain,
! [X42,X43] :
( ~ left_convergent_lines(X42,X43)
& ~ left_convergent_lines(X42,reverse_line(X43)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag11])]) ).
fof(c_0_28,plain,
! [X30,X31,X32] :
( ~ unequally_directed_lines(X30,X31)
| unequally_directed_lines(X30,X32)
| unequally_directed_lines(X31,X32) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag6])]) ).
cnf(c_0_29,negated_conjecture,
( unequally_directed_lines(esk3_0,line_connecting(esk1_0,esk2_0))
| ~ before_on_line(esk3_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( before_on_line(X1,esk2_0,esk1_0)
| unequally_directed_lines(X1,line_connecting(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_31,plain,
( left_convergent_lines(X1,X2)
| left_convergent_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
( unequally_directed_lines(esk3_0,line_connecting(esk2_0,esk1_0))
| unequally_directed_lines(esk3_0,line_connecting(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_31,c_0_32]),c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( unequally_directed_lines(esk3_0,line_connecting(esk2_0,esk1_0))
| unequally_directed_lines(line_connecting(esk1_0,esk2_0),X1)
| unequally_directed_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
( unequally_directed_lines(esk3_0,line_connecting(esk2_0,esk1_0))
| unequally_directed_lines(esk3_0,reverse_line(X1))
| ~ unequally_directed_lines(line_connecting(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_38,plain,
! [X58,X59] : ~ unequally_directed_lines(line_connecting(X58,X59),reverse_line(line_connecting(X59,X58))),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oagco9])]) ).
cnf(c_0_39,negated_conjecture,
( unequally_directed_lines(esk3_0,line_connecting(esk2_0,esk1_0))
| unequally_directed_lines(esk3_0,reverse_line(X1))
| unequally_directed_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_40,plain,
~ unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( unequally_directed_lines(line_connecting(esk2_0,esk1_0),X1)
| unequally_directed_lines(esk3_0,reverse_line(X2))
| unequally_directed_lines(esk3_0,X2)
| unequally_directed_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_39]) ).
cnf(c_0_42,negated_conjecture,
( unequally_directed_lines(esk3_0,reverse_line(line_connecting(esk1_0,esk2_0)))
| unequally_directed_lines(esk3_0,reverse_line(X1))
| unequally_directed_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_43,negated_conjecture,
( unequally_directed_lines(esk3_0,reverse_line(line_connecting(esk1_0,esk2_0)))
| unequally_directed_lines(esk3_0,line_connecting(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_42]) ).
cnf(c_0_44,negated_conjecture,
( unequally_directed_lines(reverse_line(line_connecting(esk1_0,esk2_0)),X1)
| unequally_directed_lines(esk3_0,line_connecting(esk1_0,esk2_0))
| unequally_directed_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_43]) ).
cnf(c_0_45,negated_conjecture,
( unequally_directed_lines(esk3_0,line_connecting(esk1_0,esk2_0))
| unequally_directed_lines(esk3_0,reverse_line(X1))
| ~ unequally_directed_lines(reverse_line(line_connecting(esk1_0,esk2_0)),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_44]) ).
cnf(c_0_46,negated_conjecture,
( unequally_directed_lines(esk3_0,reverse_line(X1))
| unequally_directed_lines(esk3_0,X1)
| ~ unequally_directed_lines(esk3_0,line_connecting(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( unequally_directed_lines(esk3_0,reverse_line(X1))
| unequally_directed_lines(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_44]),c_0_46]) ).
fof(c_0_48,plain,
! [X29] : ~ unequally_directed_lines(X29,X29),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oag5])]) ).
cnf(c_0_49,negated_conjecture,
( unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(esk3_0,X1)
| unequally_directed_lines(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_47]) ).
cnf(c_0_50,plain,
~ unequally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_51,negated_conjecture,
( unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(esk3_0,X3)
| unequally_directed_lines(esk3_0,X1)
| unequally_directed_lines(X3,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_49]) ).
cnf(c_0_52,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(esk3_0,X2)
| unequally_directed_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_53,negated_conjecture,
( unequally_directed_lines(esk3_0,line_connecting(X1,X2))
| unequally_directed_lines(esk3_0,line_connecting(X2,X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_52]) ).
cnf(c_0_54,negated_conjecture,
unequally_directed_lines(esk3_0,line_connecting(X1,X1)),
inference(ef,[status(thm)],[c_0_53]) ).
cnf(c_0_55,negated_conjecture,
( unequally_directed_lines(line_connecting(X1,X1),X2)
| unequally_directed_lines(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_54]) ).
cnf(c_0_56,negated_conjecture,
unequally_directed_lines(esk3_0,reverse_line(line_connecting(X1,X1))),
inference(spm,[status(thm)],[c_0_40,c_0_55]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_56]),c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO254+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n018.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 : 600
% 0.12/0.33 % DateTime : Sat Jun 18 14:35:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.59/2.47 # ENIGMATIC: Solved by autoschedule:
% 7.59/2.47 # No SInE strategy applied
% 7.59/2.47 # Trying AutoSched0 for 150 seconds
% 7.59/2.47 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2SA
% 7.59/2.47 # and selection function SelectNewComplexAHP.
% 7.59/2.47 #
% 7.59/2.47 # Preprocessing time : 0.027 s
% 7.59/2.47 # Presaturation interreduction done
% 7.59/2.47
% 7.59/2.47 # Proof found!
% 7.59/2.47 # SZS status Theorem
% 7.59/2.47 # SZS output start CNFRefutation
% See solution above
% 7.59/2.47 # Training examples: 0 positive, 0 negative
% 7.59/2.47
% 7.59/2.47 # -------------------------------------------------
% 7.59/2.47 # User time : 0.078 s
% 7.59/2.47 # System time : 0.006 s
% 7.59/2.47 # Total time : 0.084 s
% 7.59/2.47 # Maximum resident set size: 7120 pages
% 7.59/2.47
%------------------------------------------------------------------------------