TSTP Solution File: GEO223+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO223+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 03:44:38 EDT 2022
% Result : Theorem 6.56s 2.21s
% Output : CNFRefutation 6.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of clauses : 48 ( 19 unt; 25 nHn; 24 RR)
% Number of literals : 110 ( 0 equ; 33 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 88 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_18,plain,
( convergent_lines(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d4e3ej6f/lgb.p',i_0_18) ).
cnf(i_0_14,negated_conjecture,
distinct_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d4e3ej6f/lgb.p',i_0_14) ).
cnf(i_0_26,plain,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| unorthogonal_lines(X2,X4)
| unorthogonal_lines(X3,X4)
| ~ distinct_lines(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d4e3ej6f/lgb.p',i_0_26) ).
cnf(i_0_6,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d4e3ej6f/lgb.p',i_0_6) ).
cnf(i_0_24,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d4e3ej6f/lgb.p',i_0_24) ).
cnf(i_0_25,plain,
~ apart_point_and_line(X1,orthogonal_through_point(X2,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d4e3ej6f/lgb.p',i_0_25) ).
cnf(i_0_16,plain,
~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d4e3ej6f/lgb.p',i_0_16) ).
cnf(i_0_12,plain,
( distinct_points(X1,intersection_point(X2,X3))
| ~ convergent_lines(X2,X3)
| ~ apart_point_and_line(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d4e3ej6f/lgb.p',i_0_12) ).
cnf(i_0_3,plain,
~ convergent_lines(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d4e3ej6f/lgb.p',i_0_3) ).
cnf(i_0_1,plain,
~ distinct_points(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d4e3ej6f/lgb.p',i_0_1) ).
cnf(i_0_23,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d4e3ej6f/lgb.p',i_0_23) ).
cnf(i_0_13,plain,
( distinct_points(X1,intersection_point(X2,X3))
| ~ convergent_lines(X2,X3)
| ~ apart_point_and_line(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d4e3ej6f/lgb.p',i_0_13) ).
cnf(i_0_21,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| ~ convergent_lines(X1,X3)
| ~ unorthogonal_lines(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d4e3ej6f/lgb.p',i_0_21) ).
cnf(i_0_15,plain,
~ convergent_lines(parallel_through_point(X1,X2),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d4e3ej6f/lgb.p',i_0_15) ).
cnf(c_0_41,plain,
( convergent_lines(X1,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| ~ distinct_lines(X1,X2) ),
i_0_18 ).
cnf(c_0_42,negated_conjecture,
distinct_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
i_0_14 ).
cnf(c_0_43,plain,
( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| unorthogonal_lines(X2,X4)
| unorthogonal_lines(X3,X4)
| ~ distinct_lines(X3,X2) ),
i_0_26 ).
cnf(c_0_44,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
i_0_6 ).
cnf(c_0_45,negated_conjecture,
( apart_point_and_line(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| apart_point_and_line(X1,parallel_through_point(esk2_0,esk1_0))
| convergent_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
i_0_24 ).
cnf(c_0_47,negated_conjecture,
( apart_point_and_line(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| apart_point_and_line(X1,parallel_through_point(esk2_0,esk1_0))
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X2)
| unorthogonal_lines(parallel_through_point(esk2_0,esk1_0),X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_42]) ).
cnf(c_0_48,plain,
~ apart_point_and_line(X1,orthogonal_through_point(X2,X1)),
i_0_25 ).
cnf(c_0_49,plain,
( apart_point_and_line(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| apart_point_and_line(X1,parallel_through_point(esk2_0,esk1_0))
| convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X2)
| convergent_lines(parallel_through_point(esk2_0,esk1_0),X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
i_0_16 ).
cnf(c_0_51,plain,
( distinct_points(X1,intersection_point(X2,X3))
| ~ convergent_lines(X2,X3)
| ~ apart_point_and_line(X1,X3) ),
i_0_12 ).
cnf(c_0_52,plain,
( apart_point_and_line(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| apart_point_and_line(X1,parallel_through_point(esk2_0,esk1_0))
| unorthogonal_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
~ convergent_lines(X1,X1),
i_0_3 ).
cnf(c_0_54,plain,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| convergent_lines(parallel_through_point(esk2_0,esk1_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_55,plain,
( distinct_points(X1,intersection_point(X2,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)))
| apart_point_and_line(X1,parallel_through_point(esk2_0,esk1_0))
| unorthogonal_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(esk2_0,esk1_0))
| ~ convergent_lines(X2,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,plain,
convergent_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,plain,
~ distinct_points(X1,X1),
i_0_1 ).
cnf(c_0_58,plain,
( distinct_points(X1,intersection_point(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)))
| apart_point_and_line(X1,parallel_through_point(esk2_0,esk1_0))
| unorthogonal_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
i_0_23 ).
cnf(c_0_60,plain,
( distinct_points(X1,intersection_point(X2,X3))
| ~ convergent_lines(X2,X3)
| ~ apart_point_and_line(X1,X2) ),
i_0_13 ).
cnf(c_0_61,plain,
( apart_point_and_line(intersection_point(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),parallel_through_point(esk2_0,esk1_0))
| unorthogonal_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_62,plain,
convergent_lines(orthogonal_through_point(X1,X2),X1),
inference(spm,[status(thm)],[c_0_46,c_0_59]) ).
cnf(c_0_63,plain,
( distinct_points(intersection_point(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),intersection_point(parallel_through_point(esk2_0,esk1_0),X1))
| unorthogonal_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(esk2_0,esk1_0))
| ~ convergent_lines(parallel_through_point(esk2_0,esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_64,plain,
( convergent_lines(orthogonal_through_point(X1,X2),X3)
| convergent_lines(X1,X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_62]) ).
cnf(c_0_65,plain,
( convergent_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| ~ convergent_lines(X1,X3)
| ~ unorthogonal_lines(X1,X3) ),
i_0_21 ).
cnf(c_0_66,plain,
unorthogonal_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(esk2_0,esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_56]),c_0_57]) ).
cnf(c_0_67,plain,
( convergent_lines(orthogonal_through_point(X1,X2),X3)
| convergent_lines(X1,X4)
| convergent_lines(X4,X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_64]) ).
cnf(c_0_68,plain,
( convergent_lines(parallel_through_point(esk2_0,esk1_0),X1)
| unorthogonal_lines(orthogonal_through_point(esk2_0,esk1_0),X1)
| ~ convergent_lines(parallel_through_point(esk2_0,esk1_0),orthogonal_through_point(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,plain,
( convergent_lines(X1,orthogonal_through_point(X2,X3))
| convergent_lines(X2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_67]) ).
cnf(c_0_70,plain,
( convergent_lines(esk2_0,parallel_through_point(esk2_0,esk1_0))
| convergent_lines(parallel_through_point(esk2_0,esk1_0),X1)
| unorthogonal_lines(orthogonal_through_point(esk2_0,esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_71,plain,
~ convergent_lines(parallel_through_point(X1,X2),X1),
i_0_15 ).
cnf(c_0_72,plain,
convergent_lines(esk2_0,parallel_through_point(esk2_0,esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_70]),c_0_71]) ).
cnf(c_0_73,plain,
( convergent_lines(parallel_through_point(esk2_0,esk1_0),X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_72]) ).
cnf(c_0_74,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_73]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO223+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n024.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 : Sat Jun 18 06:30:49 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 6.56/2.21 # ENIGMATIC: Solved by autoschedule-lgb:
% 6.56/2.21 # No SInE strategy applied
% 6.56/2.21 # Trying AutoSched0 for 150 seconds
% 6.56/2.21 # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_AE_Q4_CS_SP_S4d
% 6.56/2.21 # and selection function SelectCQIPrecWNTNp.
% 6.56/2.21 #
% 6.56/2.21 # Preprocessing time : 0.012 s
% 6.56/2.21
% 6.56/2.21 # Proof found!
% 6.56/2.21 # SZS status Theorem
% 6.56/2.21 # SZS output start CNFRefutation
% See solution above
% 6.56/2.21 # Training examples: 0 positive, 0 negative
% 6.56/2.21
% 6.56/2.21 # -------------------------------------------------
% 6.56/2.21 # User time : 0.032 s
% 6.56/2.21 # System time : 0.004 s
% 6.56/2.21 # Total time : 0.035 s
% 6.56/2.21 # Maximum resident set size: 7120 pages
% 6.56/2.21
%------------------------------------------------------------------------------