%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO198+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 : 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 : 300s
% DateTime : Wed Apr 9 06:14:10 PM UTC 2025
% Result : Theorem 14.02s 5.02s
% Output : CNFRefutation 14.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 86 ( 24 ~; 51 |; 4 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 57 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > line_connecting > intersection_point > #nlpp > #skF_2 > #skF_3 > #skF_1
%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(f_57,axiom,
! [X] : ~ distinct_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart2) ).
tff(f_146,negated_conjecture,
~ ! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z)
& ~ apart_point_and_line(intersection_point(X,Y),Z) )
=> ~ apart_point_and_line(intersection_point(X,Z),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_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(f_125,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq2) ).
tff(c_4,plain,
! [X_2] : ~ distinct_lines(X_2,X_2),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_38,plain,
convergent_lines('#skF_1','#skF_2'),
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_34,plain,
convergent_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_30,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_67,plain,
! [Z_52,Y_53,X_54] :
( apart_point_and_line(Z_52,Y_53)
| distinct_points(X_54,Z_52)
| ~ apart_point_and_line(X_54,Y_53) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_70,plain,
! [Z_52] :
( apart_point_and_line(Z_52,'#skF_2')
| distinct_points(intersection_point('#skF_1','#skF_3'),Z_52) ),
inference(resolution,[status(thm)],[c_30,c_67]) ).
tff(c_191,plain,
! [X_65,Z_66,Y_67] :
( convergent_lines(X_65,Z_66)
| distinct_lines(Y_67,Z_66)
| ~ convergent_lines(X_65,Y_67) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_222,plain,
! [Z_66] :
( convergent_lines('#skF_1',Z_66)
| distinct_lines('#skF_3',Z_66) ),
inference(resolution,[status(thm)],[c_34,c_191]) ).
tff(c_295,plain,
! [Y_78,V_79,U_80,X_81] :
( apart_point_and_line(Y_78,V_79)
| apart_point_and_line(Y_78,U_80)
| apart_point_and_line(X_81,V_79)
| apart_point_and_line(X_81,U_80)
| ~ distinct_lines(U_80,V_79)
| ~ distinct_points(X_81,Y_78) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1533,plain,
! [Y_143,Z_144,X_145] :
( apart_point_and_line(Y_143,Z_144)
| apart_point_and_line(Y_143,'#skF_3')
| apart_point_and_line(X_145,Z_144)
| apart_point_and_line(X_145,'#skF_3')
| ~ distinct_points(X_145,Y_143)
| convergent_lines('#skF_1',Z_144) ),
inference(resolution,[status(thm)],[c_222,c_295]) ).
tff(c_1548,plain,
! [Z_52,Z_144] :
( apart_point_and_line(Z_52,Z_144)
| apart_point_and_line(Z_52,'#skF_3')
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),Z_144)
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_3')
| convergent_lines('#skF_1',Z_144)
| apart_point_and_line(Z_52,'#skF_2') ),
inference(resolution,[status(thm)],[c_70,c_1533]) ).
tff(c_1955,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_3'),
inference(splitLeft,[status(thm)],[c_1548]) ).
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_1962,plain,
~ convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_1955,c_20]) ).
tff(c_1968,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_1962]) ).
tff(c_13011,plain,
! [Z_603,Z_604] :
( apart_point_and_line(Z_603,Z_604)
| apart_point_and_line(Z_603,'#skF_3')
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),Z_604)
| convergent_lines('#skF_1',Z_604)
| apart_point_and_line(Z_603,'#skF_2') ),
inference(splitRight,[status(thm)],[c_1548]) ).
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_13048,plain,
! [Z_603] :
( ~ convergent_lines('#skF_1','#skF_3')
| apart_point_and_line(Z_603,'#skF_1')
| apart_point_and_line(Z_603,'#skF_3')
| convergent_lines('#skF_1','#skF_1')
| apart_point_and_line(Z_603,'#skF_2') ),
inference(resolution,[status(thm)],[c_13011,c_18]) ).
tff(c_13082,plain,
! [Z_603] :
( apart_point_and_line(Z_603,'#skF_1')
| apart_point_and_line(Z_603,'#skF_3')
| convergent_lines('#skF_1','#skF_1')
| apart_point_and_line(Z_603,'#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_34,c_13048]) ).
tff(c_13092,plain,
! [Z_605] :
( apart_point_and_line(Z_605,'#skF_1')
| apart_point_and_line(Z_605,'#skF_3')
| apart_point_and_line(Z_605,'#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_6,c_13082]) ).
tff(c_26,plain,
! [X_28,Z_30,Y_29] :
( apart_point_and_line(X_28,Z_30)
| distinct_lines(Y_29,Z_30)
| ~ apart_point_and_line(X_28,Y_29) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_13448,plain,
! [Z_621,Z_622] :
( apart_point_and_line(Z_621,Z_622)
| distinct_lines('#skF_2',Z_622)
| apart_point_and_line(Z_621,'#skF_1')
| apart_point_and_line(Z_621,'#skF_3') ),
inference(resolution,[status(thm)],[c_13092,c_26]) ).
tff(c_32,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_13511,plain,
! [Z_622] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_622)
| distinct_lines('#skF_2',Z_622)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1') ),
inference(resolution,[status(thm)],[c_13448,c_32]) ).
tff(c_13996,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_13511]) ).
tff(c_14003,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_13996,c_18]) ).
tff(c_14009,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_14003]) ).
tff(c_14020,plain,
! [Z_639] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_639)
| distinct_lines('#skF_2',Z_639) ),
inference(splitRight,[status(thm)],[c_13511]) ).
tff(c_14039,plain,
( ~ convergent_lines('#skF_1','#skF_2')
| distinct_lines('#skF_2','#skF_2') ),
inference(resolution,[status(thm)],[c_14020,c_20]) ).
tff(c_14057,plain,
distinct_lines('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_14039]) ).
tff(c_14059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_14057]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : GEO198+1 : TPTP v9.0.0. Released v3.3.0.
% 0.02/0.09 % 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
% 0.09/0.28 % Computer : n003.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Mon Apr 7 19:57:33 EDT 2025
% 0.09/0.28 % CPUTime :
% 14.02/5.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.02/5.03
% 14.02/5.03 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------