TSTP Solution File: GEO174+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO174+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 03:43:55 EDT 2022
% Result : Theorem 7.81s 2.39s
% Output : CNFRefutation 7.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 55 ( 18 ~; 23 |; 9 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& ( apart_point_and_line(X1,X4)
| apart_point_and_line(X2,X4) ) )
=> distinct_lines(X4,line_connecting(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(ceq2,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq2) ).
fof(con1,axiom,
! [X1,X2,X3] :
( distinct_points(X1,X2)
=> ( apart_point_and_line(X3,line_connecting(X1,X2))
=> ( distinct_points(X3,X1)
& distinct_points(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).
fof(apart1,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X4,X5] :
( ( distinct_points(X1,X2)
& convergent_lines(X4,X5)
& ( apart_point_and_line(X1,X4)
| apart_point_and_line(X2,X4) ) )
=> distinct_lines(X4,line_connecting(X1,X2)) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_5,plain,
! [X31,X32,X33] :
( ~ apart_point_and_line(X31,X32)
| distinct_lines(X32,X33)
| apart_point_and_line(X31,X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq2])]) ).
fof(c_0_6,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& convergent_lines(esk3_0,esk4_0)
& ( apart_point_and_line(esk1_0,esk3_0)
| apart_point_and_line(esk2_0,esk3_0) )
& ~ distinct_lines(esk3_0,line_connecting(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,plain,
! [X18,X19,X20] :
( ( distinct_points(X20,X18)
| ~ apart_point_and_line(X20,line_connecting(X18,X19))
| ~ distinct_points(X18,X19) )
& ( distinct_points(X20,X19)
| ~ apart_point_and_line(X20,line_connecting(X18,X19))
| ~ distinct_points(X18,X19) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[con1])])]) ).
cnf(c_0_8,plain,
( distinct_lines(X2,X3)
| apart_point_and_line(X1,X3)
| ~ apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( apart_point_and_line(esk1_0,esk3_0)
| apart_point_and_line(esk2_0,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X2,X3))
| ~ distinct_points(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
~ distinct_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( apart_point_and_line(esk2_0,esk3_0)
| apart_point_and_line(esk1_0,X1)
| distinct_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
fof(c_0_14,plain,
! [X6] : ~ distinct_points(X6,X6),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[apart1])]) ).
cnf(c_0_15,negated_conjecture,
( distinct_points(X1,esk1_0)
| ~ apart_point_and_line(X1,line_connecting(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
| apart_point_and_line(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
apart_point_and_line(esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_19,plain,
( distinct_points(X1,X2)
| ~ apart_point_and_line(X1,line_connecting(X3,X2))
| ~ distinct_points(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( apart_point_and_line(esk2_0,X1)
| distinct_lines(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( distinct_points(X1,esk2_0)
| ~ apart_point_and_line(X1,line_connecting(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_22,negated_conjecture,
apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO174+2 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.32 % Computer : n003.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 600
% 0.10/0.32 % DateTime : Sat Jun 18 13:28:14 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.17/0.43 # ENIGMATIC: Selected SinE mode:
% 0.17/0.43 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.17/0.43 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.17/0.43 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.81/2.39 # ENIGMATIC: Solved by autoschedule:
% 7.81/2.39 # No SInE strategy applied
% 7.81/2.39 # Trying AutoSched0 for 150 seconds
% 7.81/2.39 # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_AE_Q4_CS_SP_S4d
% 7.81/2.39 # and selection function SelectCQIPrecWNTNp.
% 7.81/2.39 #
% 7.81/2.39 # Preprocessing time : 0.014 s
% 7.81/2.39
% 7.81/2.39 # Proof found!
% 7.81/2.39 # SZS status Theorem
% 7.81/2.39 # SZS output start CNFRefutation
% See solution above
% 7.81/2.39 # Training examples: 0 positive, 0 negative
% 7.81/2.39
% 7.81/2.39 # -------------------------------------------------
% 7.81/2.39 # User time : 0.018 s
% 7.81/2.39 # System time : 0.001 s
% 7.81/2.39 # Total time : 0.019 s
% 7.81/2.39 # Maximum resident set size: 7124 pages
% 7.81/2.39
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