%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO191+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n017.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 : 300s
% DateTime : Wed Apr 9 06:14:07 PM UTC 2025
% Result : Theorem 18.68s 7.30s
% Output : CNFRefutation 18.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 68 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 189 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 156 ( 35 ~; 111 |; 3 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 95 ( 95 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > line_connecting > intersection_point > #nlpp > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(line_connecting,type,
line_connecting: ( $i * $i ) > $i ).
tff(distinct_points,type,
distinct_points: ( $i * $i ) > $o ).
tff(intersection_point,type,
intersection_point: ( $i * $i ) > $i ).
tff(apart_point_and_line,type,
apart_point_and_line: ( $i * $i ) > $o ).
tff(convergent_lines,type,
convergent_lines: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(f_146,negated_conjecture,
~ ! [X,Y,U,V] :
( ( convergent_lines(X,Y)
& convergent_lines(U,V)
& ( apart_point_and_line(intersection_point(X,Y),U)
| apart_point_and_line(intersection_point(X,Y),V) ) )
=> ( apart_point_and_line(intersection_point(U,V),X)
| apart_point_and_line(intersection_point(U,V),Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_60,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_119,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq1) ).
tff(f_131,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).
tff(f_112,axiom,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_lines(U,V) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',cu1) ).
tff(f_99,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci4) ).
tff(f_66,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart4) ).
tff(f_54,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart1) ).
tff(f_94,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci3) ).
tff(c_36,plain,
convergent_lines('#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_32,plain,
~ apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_38,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_34,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_4')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_44,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3'),
inference(splitLeft,[status(thm)],[c_34]) ).
tff(c_113,plain,
! [Z_56,Y_57,X_58] :
( apart_point_and_line(Z_56,Y_57)
| distinct_points(X_58,Z_56)
| ~ apart_point_and_line(X_58,Y_57) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_116,plain,
! [Z_56] :
( apart_point_and_line(Z_56,'#skF_3')
| distinct_points(intersection_point('#skF_1','#skF_2'),Z_56) ),
inference(resolution,[status(thm)],[c_44,c_113]) ).
tff(c_63,plain,
! [X_49,Z_50,Y_51] :
( convergent_lines(X_49,Z_50)
| distinct_lines(Y_51,Z_50)
| ~ convergent_lines(X_49,Y_51) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_72,plain,
! [Z_50] :
( convergent_lines('#skF_1',Z_50)
| distinct_lines('#skF_2',Z_50) ),
inference(resolution,[status(thm)],[c_38,c_63]) ).
tff(c_280,plain,
! [Y_77,V_78,U_79,X_80] :
( apart_point_and_line(Y_77,V_78)
| apart_point_and_line(Y_77,U_79)
| apart_point_and_line(X_80,V_78)
| apart_point_and_line(X_80,U_79)
| ~ distinct_lines(U_79,V_78)
| ~ distinct_points(X_80,Y_77) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_761,plain,
! [Y_103,Z_104,X_105] :
( apart_point_and_line(Y_103,Z_104)
| apart_point_and_line(Y_103,'#skF_2')
| apart_point_and_line(X_105,Z_104)
| apart_point_and_line(X_105,'#skF_2')
| ~ distinct_points(X_105,Y_103)
| convergent_lines('#skF_1',Z_104) ),
inference(resolution,[status(thm)],[c_72,c_280]) ).
tff(c_767,plain,
! [Z_56,Z_104] :
( apart_point_and_line(Z_56,Z_104)
| apart_point_and_line(Z_56,'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_104)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| convergent_lines('#skF_1',Z_104)
| apart_point_and_line(Z_56,'#skF_3') ),
inference(resolution,[status(thm)],[c_116,c_761]) ).
tff(c_8890,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_767]) ).
tff(c_20,plain,
! [X_19,Y_20] :
( ~ apart_point_and_line(intersection_point(X_19,Y_20),Y_20)
| ~ convergent_lines(X_19,Y_20) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_8897,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_8890,c_20]) ).
tff(c_8903,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_8897]) ).
tff(c_8905,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitRight,[status(thm)],[c_767]) ).
tff(c_138,plain,
! [Y_66,Z_67,X_68] :
( distinct_points(Y_66,Z_67)
| distinct_points(X_68,Z_67)
| ~ distinct_points(X_68,Y_66) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_1189,plain,
! [Z_130,Z_131] :
( distinct_points(Z_130,Z_131)
| distinct_points(intersection_point('#skF_1','#skF_2'),Z_131)
| apart_point_and_line(Z_130,'#skF_3') ),
inference(resolution,[status(thm)],[c_116,c_138]) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_1218,plain,
! [Z_132] :
( distinct_points(Z_132,intersection_point('#skF_1','#skF_2'))
| apart_point_and_line(Z_132,'#skF_3') ),
inference(resolution,[status(thm)],[c_1189,c_2]) ).
tff(c_306,plain,
! [Y_77,Z_50,X_80] :
( apart_point_and_line(Y_77,Z_50)
| apart_point_and_line(Y_77,'#skF_2')
| apart_point_and_line(X_80,Z_50)
| apart_point_and_line(X_80,'#skF_2')
| ~ distinct_points(X_80,Y_77)
| convergent_lines('#skF_1',Z_50) ),
inference(resolution,[status(thm)],[c_72,c_280]) ).
tff(c_1230,plain,
! [Z_50,Z_132] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_50)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line(Z_132,Z_50)
| apart_point_and_line(Z_132,'#skF_2')
| convergent_lines('#skF_1',Z_50)
| apart_point_and_line(Z_132,'#skF_3') ),
inference(resolution,[status(thm)],[c_1218,c_306]) ).
tff(c_9988,plain,
! [Z_499,Z_500] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_499)
| apart_point_and_line(Z_500,Z_499)
| apart_point_and_line(Z_500,'#skF_2')
| convergent_lines('#skF_1',Z_499)
| apart_point_and_line(Z_500,'#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_8905,c_1230]) ).
tff(c_18,plain,
! [X_17,Y_18] :
( ~ apart_point_and_line(intersection_point(X_17,Y_18),X_17)
| ~ convergent_lines(X_17,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_10003,plain,
! [Z_500] :
( ~ convergent_lines('#skF_1','#skF_2')
| apart_point_and_line(Z_500,'#skF_1')
| apart_point_and_line(Z_500,'#skF_2')
| convergent_lines('#skF_1','#skF_1')
| apart_point_and_line(Z_500,'#skF_3') ),
inference(resolution,[status(thm)],[c_9988,c_18]) ).
tff(c_10062,plain,
! [Z_500] :
( apart_point_and_line(Z_500,'#skF_1')
| apart_point_and_line(Z_500,'#skF_2')
| convergent_lines('#skF_1','#skF_1')
| apart_point_and_line(Z_500,'#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_10003]) ).
tff(c_10079,plain,
! [Z_501] :
( apart_point_and_line(Z_501,'#skF_1')
| apart_point_and_line(Z_501,'#skF_2')
| apart_point_and_line(Z_501,'#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_6,c_10062]) ).
tff(c_30,plain,
~ apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_10097,plain,
( apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3') ),
inference(resolution,[status(thm)],[c_10079,c_30]) ).
tff(c_10106,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_32,c_10097]) ).
tff(c_10113,plain,
~ convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_10106,c_18]) ).
tff(c_10119,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_10113]) ).
tff(c_10120,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_4'),
inference(splitRight,[status(thm)],[c_34]) ).
tff(c_10154,plain,
! [Z_514,Y_515,X_516] :
( apart_point_and_line(Z_514,Y_515)
| distinct_points(X_516,Z_514)
| ~ apart_point_and_line(X_516,Y_515) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_10157,plain,
! [Z_514] :
( apart_point_and_line(Z_514,'#skF_4')
| distinct_points(intersection_point('#skF_1','#skF_2'),Z_514) ),
inference(resolution,[status(thm)],[c_10120,c_10154]) ).
tff(c_10169,plain,
! [X_521,Z_522,Y_523] :
( convergent_lines(X_521,Z_522)
| distinct_lines(Y_523,Z_522)
| ~ convergent_lines(X_521,Y_523) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_10184,plain,
! [Z_522] :
( convergent_lines('#skF_1',Z_522)
| distinct_lines('#skF_2',Z_522) ),
inference(resolution,[status(thm)],[c_38,c_10169]) ).
tff(c_10283,plain,
! [Y_533,V_534,U_535,X_536] :
( apart_point_and_line(Y_533,V_534)
| apart_point_and_line(Y_533,U_535)
| apart_point_and_line(X_536,V_534)
| apart_point_and_line(X_536,U_535)
| ~ distinct_lines(U_535,V_534)
| ~ distinct_points(X_536,Y_533) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_10991,plain,
! [Y_576,Z_577,X_578] :
( apart_point_and_line(Y_576,Z_577)
| apart_point_and_line(Y_576,'#skF_2')
| apart_point_and_line(X_578,Z_577)
| apart_point_and_line(X_578,'#skF_2')
| ~ distinct_points(X_578,Y_576)
| convergent_lines('#skF_1',Z_577) ),
inference(resolution,[status(thm)],[c_10184,c_10283]) ).
tff(c_10997,plain,
! [Z_514,Z_577] :
( apart_point_and_line(Z_514,Z_577)
| apart_point_and_line(Z_514,'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_577)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| convergent_lines('#skF_1',Z_577)
| apart_point_and_line(Z_514,'#skF_4') ),
inference(resolution,[status(thm)],[c_10157,c_10991]) ).
tff(c_21229,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_10997]) ).
tff(c_21236,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_21229,c_20]) ).
tff(c_21242,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_21236]) ).
tff(c_21244,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitRight,[status(thm)],[c_10997]) ).
tff(c_10165,plain,
! [Y_518,Z_519,X_520] :
( distinct_points(Y_518,Z_519)
| distinct_points(X_520,Z_519)
| ~ distinct_points(X_520,Y_518) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_11223,plain,
! [Z_588,Z_589] :
( distinct_points(Z_588,Z_589)
| distinct_points(intersection_point('#skF_1','#skF_2'),Z_589)
| apart_point_and_line(Z_588,'#skF_4') ),
inference(resolution,[status(thm)],[c_10157,c_10165]) ).
tff(c_11272,plain,
! [Z_591] :
( distinct_points(Z_591,intersection_point('#skF_1','#skF_2'))
| apart_point_and_line(Z_591,'#skF_4') ),
inference(resolution,[status(thm)],[c_11223,c_2]) ).
tff(c_10307,plain,
! [Y_533,Z_522,X_536] :
( apart_point_and_line(Y_533,Z_522)
| apart_point_and_line(Y_533,'#skF_2')
| apart_point_and_line(X_536,Z_522)
| apart_point_and_line(X_536,'#skF_2')
| ~ distinct_points(X_536,Y_533)
| convergent_lines('#skF_1',Z_522) ),
inference(resolution,[status(thm)],[c_10184,c_10283]) ).
tff(c_11283,plain,
! [Z_522,Z_591] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_522)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line(Z_591,Z_522)
| apart_point_and_line(Z_591,'#skF_2')
| convergent_lines('#skF_1',Z_522)
| apart_point_and_line(Z_591,'#skF_4') ),
inference(resolution,[status(thm)],[c_11272,c_10307]) ).
tff(c_21740,plain,
! [Z_1011,Z_1012] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_1011)
| apart_point_and_line(Z_1012,Z_1011)
| apart_point_and_line(Z_1012,'#skF_2')
| convergent_lines('#skF_1',Z_1011)
| apart_point_and_line(Z_1012,'#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_21244,c_11283]) ).
tff(c_21751,plain,
! [Z_1012] :
( ~ convergent_lines('#skF_1','#skF_2')
| apart_point_and_line(Z_1012,'#skF_1')
| apart_point_and_line(Z_1012,'#skF_2')
| convergent_lines('#skF_1','#skF_1')
| apart_point_and_line(Z_1012,'#skF_4') ),
inference(resolution,[status(thm)],[c_21740,c_18]) ).
tff(c_21815,plain,
! [Z_1012] :
( apart_point_and_line(Z_1012,'#skF_1')
| apart_point_and_line(Z_1012,'#skF_2')
| convergent_lines('#skF_1','#skF_1')
| apart_point_and_line(Z_1012,'#skF_4') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_21751]) ).
tff(c_21836,plain,
! [Z_1013] :
( apart_point_and_line(Z_1013,'#skF_1')
| apart_point_and_line(Z_1013,'#skF_2')
| apart_point_and_line(Z_1013,'#skF_4') ),
inference(negUnitSimplification,[status(thm)],[c_6,c_21815]) ).
tff(c_21854,plain,
( apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4') ),
inference(resolution,[status(thm)],[c_21836,c_30]) ).
tff(c_21863,plain,
apart_point_and_line(intersection_point('#skF_3','#skF_4'),'#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_32,c_21854]) ).
tff(c_21870,plain,
~ convergent_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_21863,c_20]) ).
tff(c_21876,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_21870]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.08 % Problem : GEO191+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.09 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.08/0.28 % Computer : n017.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Mon Apr 7 19:56:10 EDT 2025
% 0.08/0.28 % CPUTime :
% 18.68/7.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.68/7.31
% 18.68/7.31 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------