%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO195+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 : n013.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 06:14:09 PM UTC 2025
% Result : Theorem 12.52s 4.42s
% Output : CNFRefutation 12.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 104 ( 23 ~; 70 |; 3 &)
% ( 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 : 70 ( 70 !; 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_60,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_144,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/sandbox2/benchmark/theBenchmark.p',con) ).
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_78,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).
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_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_144]) ).
tff(c_32,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
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_1','#skF_2'),Z_52) ),
inference(resolution,[status(thm)],[c_32,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_224,plain,
! [Z_66] :
( convergent_lines('#skF_1',Z_66)
| distinct_lines('#skF_2',Z_66) ),
inference(resolution,[status(thm)],[c_38,c_191]) ).
tff(c_302,plain,
! [Y_80,V_81,U_82,X_83] :
( apart_point_and_line(Y_80,V_81)
| apart_point_and_line(Y_80,U_82)
| apart_point_and_line(X_83,V_81)
| apart_point_and_line(X_83,U_82)
| ~ distinct_lines(U_82,V_81)
| ~ distinct_points(X_83,Y_80) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1804,plain,
! [Y_157,Z_158,X_159] :
( apart_point_and_line(Y_157,Z_158)
| apart_point_and_line(Y_157,'#skF_2')
| apart_point_and_line(X_159,Z_158)
| apart_point_and_line(X_159,'#skF_2')
| ~ distinct_points(X_159,Y_157)
| convergent_lines('#skF_1',Z_158) ),
inference(resolution,[status(thm)],[c_224,c_302]) ).
tff(c_1819,plain,
! [Z_52,Z_158] :
( apart_point_and_line(Z_52,Z_158)
| apart_point_and_line(Z_52,'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_158)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| convergent_lines('#skF_1',Z_158)
| apart_point_and_line(Z_52,'#skF_3') ),
inference(resolution,[status(thm)],[c_70,c_1804]) ).
tff(c_1941,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_1819]) ).
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_1948,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1941,c_20]) ).
tff(c_1954,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_1948]) ).
tff(c_1956,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitRight,[status(thm)],[c_1819]) ).
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_71,plain,
! [Z_55] :
( convergent_lines('#skF_2',Z_55)
| convergent_lines('#skF_1',Z_55) ),
inference(resolution,[status(thm)],[c_38,c_47]) ).
tff(c_12,plain,
! [Y_11,Z_12,X_10] :
( convergent_lines(Y_11,Z_12)
| convergent_lines(X_10,Z_12)
| ~ convergent_lines(X_10,Y_11) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_119,plain,
! [Z_58,Z_59] :
( convergent_lines(Z_58,Z_59)
| convergent_lines('#skF_2',Z_59)
| convergent_lines('#skF_1',Z_58) ),
inference(resolution,[status(thm)],[c_71,c_12]) ).
tff(c_141,plain,
! [Z_60] :
( convergent_lines(Z_60,'#skF_2')
| convergent_lines('#skF_1',Z_60) ),
inference(resolution,[status(thm)],[c_119,c_6]) ).
tff(c_1739,plain,
! [Z_153,Z_154] :
( convergent_lines(Z_153,Z_154)
| convergent_lines('#skF_1',Z_154)
| convergent_lines(Z_153,'#skF_2') ),
inference(resolution,[status(thm)],[c_141,c_12]) ).
tff(c_1773,plain,
! [Z_155] :
( convergent_lines(Z_155,'#skF_1')
| convergent_lines(Z_155,'#skF_2') ),
inference(resolution,[status(thm)],[c_1739,c_6]) ).
tff(c_1784,plain,
convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_1773,c_6]) ).
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_220,plain,
! [Z_66,Z_49] :
( convergent_lines('#skF_2',Z_66)
| distinct_lines(Z_49,Z_66)
| convergent_lines('#skF_1',Z_49) ),
inference(resolution,[status(thm)],[c_56,c_191]) ).
tff(c_14291,plain,
! [Y_642,Z_643,Z_644,X_645] :
( apart_point_and_line(Y_642,Z_643)
| apart_point_and_line(Y_642,Z_644)
| apart_point_and_line(X_645,Z_643)
| apart_point_and_line(X_645,Z_644)
| ~ distinct_points(X_645,Y_642)
| convergent_lines('#skF_2',Z_643)
| convergent_lines('#skF_1',Z_644) ),
inference(resolution,[status(thm)],[c_220,c_302]) ).
tff(c_14633,plain,
! [Z_652,Z_653,Z_654] :
( apart_point_and_line(Z_652,Z_653)
| apart_point_and_line(Z_652,Z_654)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_653)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_654)
| convergent_lines('#skF_2',Z_653)
| convergent_lines('#skF_1',Z_654)
| apart_point_and_line(Z_652,'#skF_3') ),
inference(resolution,[status(thm)],[c_70,c_14291]) ).
tff(c_30,plain,
~ apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_14782,plain,
! [Z_653,Z_654] :
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),Z_653)
| apart_point_and_line(intersection_point('#skF_2','#skF_1'),Z_654)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_653)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_654)
| convergent_lines('#skF_2',Z_653)
| convergent_lines('#skF_1',Z_654) ),
inference(resolution,[status(thm)],[c_14633,c_30]) ).
tff(c_15815,plain,
! [Z_693] :
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),Z_693)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_693)
| convergent_lines('#skF_1',Z_693) ),
inference(splitLeft,[status(thm)],[c_14782]) ).
tff(c_15831,plain,
( ~ convergent_lines('#skF_2','#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| convergent_lines('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_15815,c_20]) ).
tff(c_15848,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| convergent_lines('#skF_1','#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_1784,c_15831]) ).
tff(c_15849,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_6,c_15848]) ).
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_15859,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_15849,c_18]) ).
tff(c_15865,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_15859]) ).
tff(c_16381,plain,
! [Z_713] :
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),Z_713)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_713)
| convergent_lines('#skF_2',Z_713) ),
inference(splitRight,[status(thm)],[c_14782]) ).
tff(c_16393,plain,
( ~ convergent_lines('#skF_2','#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| convergent_lines('#skF_2','#skF_2') ),
inference(resolution,[status(thm)],[c_16381,c_18]) ).
tff(c_16410,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| convergent_lines('#skF_2','#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_1784,c_16393]) ).
tff(c_16412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_1956,c_16410]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO195+1 : TPTP v9.0.0. Released v3.3.0.
% 0.08/0.13 % 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
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 19:56:32 EDT 2025
% 0.13/0.34 % CPUTime :
% 12.52/4.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.52/4.42
% 12.52/4.42 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------