%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO206+2 : TPTP v8.1.0. Released v3.3.0.
% 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 03:44:24 EDT 2022
% Result : Theorem 7.68s 2.29s
% Output : CNFRefutation 7.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 21 ~; 19 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 2 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X1,X2,X3] :
( ( ~ apart_point_and_line(X1,X2)
& ~ convergent_lines(X2,X3) )
=> ~ distinct_lines(X2,parallel_through_point(X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(cup1,axiom,
! [X1,X2,X3] :
( distinct_lines(X2,X3)
=> ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cup1) ).
fof(apart6,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart6) ).
fof(cp1,axiom,
! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp1) ).
fof(cp2,axiom,
! [X1,X2] : ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp2) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ apart_point_and_line(X1,X2)
& ~ convergent_lines(X2,X3) )
=> ~ distinct_lines(X2,parallel_through_point(X3,X1)) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_6,plain,
! [X40,X41,X42] :
( ~ distinct_lines(X41,X42)
| apart_point_and_line(X40,X41)
| apart_point_and_line(X40,X42)
| convergent_lines(X41,X42) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cup1])]) ).
fof(c_0_7,negated_conjecture,
( ~ apart_point_and_line(esk1_0,esk2_0)
& ~ convergent_lines(esk2_0,esk3_0)
& distinct_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5])])])]) ).
fof(c_0_8,plain,
! [X15,X16,X17] :
( ~ convergent_lines(X15,X16)
| convergent_lines(X15,X17)
| convergent_lines(X16,X17) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart6])]) ).
cnf(c_0_9,plain,
( apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2)
| convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
distinct_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X36,X37] : ~ convergent_lines(parallel_through_point(X37,X36),X37),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[cp1])]) ).
cnf(c_0_12,plain,
( convergent_lines(X1,X3)
| convergent_lines(X2,X3)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( apart_point_and_line(X1,parallel_through_point(esk3_0,esk1_0))
| apart_point_and_line(X1,esk2_0)
| convergent_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_14,plain,
! [X38,X39] : ~ apart_point_and_line(X38,parallel_through_point(X39,X38)),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[cp2])]) ).
cnf(c_0_15,plain,
~ convergent_lines(parallel_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( apart_point_and_line(X1,parallel_through_point(esk3_0,esk1_0))
| apart_point_and_line(X1,esk2_0)
| convergent_lines(parallel_through_point(esk3_0,esk1_0),X2)
| convergent_lines(esk2_0,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
~ convergent_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,plain,
~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( apart_point_and_line(X1,parallel_through_point(esk3_0,esk1_0))
| apart_point_and_line(X1,esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_20,negated_conjecture,
~ apart_point_and_line(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO206+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % 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 : Fri Jun 17 15:48:04 EDT 2022
% 0.12/0.33 % 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
% 7.68/2.29 # ENIGMATIC: Solved by autoschedule:
% 7.68/2.29 # No SInE strategy applied
% 7.68/2.29 # Trying AutoSched0 for 150 seconds
% 7.68/2.29 # AutoSched0-Mode selected heuristic G_E___042_C45_F1_PI_AE_Q4_CS_SP_PS_S4S
% 7.68/2.29 # and selection function SelectNewComplexAHPNS.
% 7.68/2.29 #
% 7.68/2.29 # Preprocessing time : 0.013 s
% 7.68/2.29 # Presaturation interreduction done
% 7.68/2.29
% 7.68/2.29 # Proof found!
% 7.68/2.29 # SZS status Theorem
% 7.68/2.29 # SZS output start CNFRefutation
% See solution above
% 7.68/2.29 # Training examples: 0 positive, 0 negative
% 7.68/2.29
% 7.68/2.29 # -------------------------------------------------
% 7.68/2.29 # User time : 0.015 s
% 7.68/2.29 # System time : 0.003 s
% 7.68/2.29 # Total time : 0.018 s
% 7.68/2.29 # Maximum resident set size: 7116 pages
% 7.68/2.29
%------------------------------------------------------------------------------