%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO199+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n010.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 06:14:11 PM UTC 2025
% Result : Theorem 14.46s 4.97s
% Output : CNFRefutation 14.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 50 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 99 ( 28 ~; 59 |; 4 &)
% ( 0 <=>; 8 =>; 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 : 68 ( 68 !; 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/sandbox/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(Y,X),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_60,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_78,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).
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/sandbox/benchmark/Axioms/GEO006+0.ax',ceq2) ).
tff(f_94,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO006+0.ax',ci4) ).
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_47,plain,
! [Y_48,Z_49,X_50] :
( convergent_lines(Y_48,Z_49)
| convergent_lines(X_50,Z_49)
| ~ convergent_lines(X_50,Y_48) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_56,plain,
! [Z_49] :
( convergent_lines('#skF_2',Z_49)
| convergent_lines('#skF_1',Z_49) ),
inference(resolution,[status(thm)],[c_38,c_47]) ).
tff(c_30,plain,
apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_156,plain,
! [X_61,Z_62,Y_63] :
( apart_point_and_line(X_61,Z_62)
| distinct_lines(Y_63,Z_62)
| ~ apart_point_and_line(X_61,Y_63) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_160,plain,
! [Z_64] :
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),Z_64)
| distinct_lines('#skF_3',Z_64) ),
inference(resolution,[status(thm)],[c_30,c_156]) ).
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_184,plain,
( ~ convergent_lines('#skF_2','#skF_1')
| distinct_lines('#skF_3','#skF_2') ),
inference(resolution,[status(thm)],[c_160,c_18]) ).
tff(c_187,plain,
~ convergent_lines('#skF_2','#skF_1'),
inference(splitLeft,[status(thm)],[c_184]) ).
tff(c_197,plain,
convergent_lines('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_56,c_187]) ).
tff(c_203,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_197]) ).
tff(c_205,plain,
convergent_lines('#skF_2','#skF_1'),
inference(splitRight,[status(thm)],[c_184]) ).
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_3')
| distinct_points(intersection_point('#skF_2','#skF_1'),Z_52) ),
inference(resolution,[status(thm)],[c_30,c_67]) ).
tff(c_206,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_239,plain,
! [Z_66] :
( convergent_lines('#skF_1',Z_66)
| distinct_lines('#skF_2',Z_66) ),
inference(resolution,[status(thm)],[c_38,c_206]) ).
tff(c_304,plain,
! [Y_76,V_77,U_78,X_79] :
( apart_point_and_line(Y_76,V_77)
| apart_point_and_line(Y_76,U_78)
| apart_point_and_line(X_79,V_77)
| apart_point_and_line(X_79,U_78)
| ~ distinct_lines(U_78,V_77)
| ~ distinct_points(X_79,Y_76) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1871,plain,
! [Y_156,Z_157,X_158] :
( apart_point_and_line(Y_156,Z_157)
| apart_point_and_line(Y_156,'#skF_2')
| apart_point_and_line(X_158,Z_157)
| apart_point_and_line(X_158,'#skF_2')
| ~ distinct_points(X_158,Y_156)
| convergent_lines('#skF_1',Z_157) ),
inference(resolution,[status(thm)],[c_239,c_304]) ).
tff(c_1886,plain,
! [Z_52,Z_157] :
( apart_point_and_line(Z_52,Z_157)
| apart_point_and_line(Z_52,'#skF_2')
| apart_point_and_line(intersection_point('#skF_2','#skF_1'),Z_157)
| apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_2')
| convergent_lines('#skF_1',Z_157)
| apart_point_and_line(Z_52,'#skF_3') ),
inference(resolution,[status(thm)],[c_70,c_1871]) ).
tff(c_2261,plain,
apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_1886]) ).
tff(c_2268,plain,
~ convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_2261,c_18]) ).
tff(c_2274,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_205,c_2268]) ).
tff(c_13165,plain,
! [Z_598,Z_599] :
( apart_point_and_line(Z_598,Z_599)
| apart_point_and_line(Z_598,'#skF_2')
| apart_point_and_line(intersection_point('#skF_2','#skF_1'),Z_599)
| convergent_lines('#skF_1',Z_599)
| apart_point_and_line(Z_598,'#skF_3') ),
inference(splitRight,[status(thm)],[c_1886]) ).
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_13221,plain,
! [Z_598] :
( ~ convergent_lines('#skF_2','#skF_1')
| apart_point_and_line(Z_598,'#skF_1')
| apart_point_and_line(Z_598,'#skF_2')
| convergent_lines('#skF_1','#skF_1')
| apart_point_and_line(Z_598,'#skF_3') ),
inference(resolution,[status(thm)],[c_13165,c_20]) ).
tff(c_13248,plain,
! [Z_598] :
( apart_point_and_line(Z_598,'#skF_1')
| apart_point_and_line(Z_598,'#skF_2')
| convergent_lines('#skF_1','#skF_1')
| apart_point_and_line(Z_598,'#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_205,c_13221]) ).
tff(c_13251,plain,
! [Z_600] :
( apart_point_and_line(Z_600,'#skF_1')
| apart_point_and_line(Z_600,'#skF_2')
| apart_point_and_line(Z_600,'#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_6,c_13248]) ).
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_14484,plain,
! [Z_641,Z_642] :
( apart_point_and_line(Z_641,Z_642)
| distinct_lines('#skF_2',Z_642)
| apart_point_and_line(Z_641,'#skF_1')
| apart_point_and_line(Z_641,'#skF_3') ),
inference(resolution,[status(thm)],[c_13251,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_14548,plain,
! [Z_642] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_642)
| distinct_lines('#skF_2',Z_642)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1') ),
inference(resolution,[status(thm)],[c_14484,c_32]) ).
tff(c_14549,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_14548]) ).
tff(c_14556,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_14549,c_18]) ).
tff(c_14562,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_14556]) ).
tff(c_14576,plain,
! [Z_643] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_643)
| distinct_lines('#skF_2',Z_643) ),
inference(splitRight,[status(thm)],[c_14548]) ).
tff(c_14595,plain,
( ~ convergent_lines('#skF_1','#skF_2')
| distinct_lines('#skF_2','#skF_2') ),
inference(resolution,[status(thm)],[c_14576,c_20]) ).
tff(c_14613,plain,
distinct_lines('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_14595]) ).
tff(c_14615,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_14613]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO199+1 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 7 19:57:47 EDT 2025
% 0.13/0.35 % CPUTime :
% 14.46/4.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.46/4.98
% 14.46/4.98 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------