%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO266+3 : TPTP v9.0.0. Released v4.0.0.
% 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 : n029.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 06:14:33 PM UTC 2025
% Result : Theorem 4.93s 2.20s
% Output : CNFRefutation 5.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 74 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 98 ( 48 ~; 44 |; 1 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 19 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 79 ( 79 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ between_on_line > divides_points > before_on_line > unequally_directed_opposite_lines > unequally_directed_lines > right_convergent_lines > right_apart_point > left_convergent_lines > left_apart_point > incident_point_and_line > equally_directed_opposite_lines > equally_directed_lines > distinct_points > distinct_lines > convergent_lines > apart_point_and_line > point > line > parallel_through_point > line_connecting > intersection_point > #nlpp > reverse_line > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(line_connecting,type,
line_connecting: ( $i * $i ) > $i ).
tff(incident_point_and_line,type,
incident_point_and_line: ( $i * $i ) > $o ).
tff(distinct_points,type,
distinct_points: ( $i * $i ) > $o ).
tff(unequally_directed_opposite_lines,type,
unequally_directed_opposite_lines: ( $i * $i ) > $o ).
tff(intersection_point,type,
intersection_point: ( $i * $i ) > $i ).
tff(parallel_through_point,type,
parallel_through_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(equally_directed_opposite_lines,type,
equally_directed_opposite_lines: ( $i * $i ) > $o ).
tff(right_apart_point,type,
right_apart_point: ( $i * $i ) > $o ).
tff(point,type,
point: $i > $o ).
tff(reverse_line,type,
reverse_line: $i > $i ).
tff(line,type,
line: $i > $o ).
tff(between_on_line,type,
between_on_line: ( $i * $i * $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(equally_directed_lines,type,
equally_directed_lines: ( $i * $i ) > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(left_convergent_lines,type,
left_convergent_lines: ( $i * $i ) > $o ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(before_on_line,type,
before_on_line: ( $i * $i * $i ) > $o ).
tff(divides_points,type,
divides_points: ( $i * $i * $i ) > $o ).
tff(left_apart_point,type,
left_apart_point: ( $i * $i ) > $o ).
tff(unequally_directed_lines,type,
unequally_directed_lines: ( $i * $i ) > $o ).
tff(right_convergent_lines,type,
right_convergent_lines: ( $i * $i ) > $o ).
tff(f_133,axiom,
! [L] : equally_directed_lines(L,L),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax5_basics) ).
tff(f_155,axiom,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).
tff(f_53,axiom,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
tff(f_286,negated_conjecture,
~ ! [L,M] :
( unequally_directed_opposite_lines(L,M)
<=> unequally_directed_opposite_lines(M,L) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_139,axiom,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax6_basics) ).
tff(f_173,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax11_basics) ).
tff(f_163,axiom,
! [L,M] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax9_basics) ).
tff(f_66,axiom,
! [X,Y] :
( equally_directed_lines(X,Y)
<=> ~ unequally_directed_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a4_defns) ).
tff(c_76,plain,
! [L_33] : equally_directed_lines(L_33,L_33),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_88,plain,
! [L_40,M_41] :
( unequally_directed_lines(L_40,reverse_line(M_41))
| unequally_directed_lines(L_40,M_41) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_1729,plain,
! [X_362,Y_363] :
( unequally_directed_opposite_lines(X_362,Y_363)
| ~ unequally_directed_lines(X_362,reverse_line(Y_363)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_1752,plain,
! [L_364,M_365] :
( unequally_directed_opposite_lines(L_364,M_365)
| unequally_directed_lines(L_364,M_365) ),
inference(resolution,[status(thm)],[c_88,c_1729]) ).
tff(c_1243,plain,
! [X_277,Y_278] :
( unequally_directed_opposite_lines(X_277,Y_278)
| ~ unequally_directed_lines(X_277,reverse_line(Y_278)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_1266,plain,
! [L_279,M_280] :
( unequally_directed_opposite_lines(L_279,M_280)
| unequally_directed_lines(L_279,M_280) ),
inference(resolution,[status(thm)],[c_88,c_1243]) ).
tff(c_136,plain,
( unequally_directed_opposite_lines('#skF_2','#skF_1')
| ~ unequally_directed_opposite_lines('#skF_4','#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_165,plain,
~ unequally_directed_opposite_lines('#skF_4','#skF_3'),
inference(splitLeft,[status(thm)],[c_136]) ).
tff(c_1278,plain,
unequally_directed_lines('#skF_4','#skF_3'),
inference(resolution,[status(thm)],[c_1266,c_165]) ).
tff(c_1529,plain,
! [M_320,N_321,L_322] :
( unequally_directed_lines(M_320,N_321)
| unequally_directed_lines(L_322,N_321)
| ~ unequally_directed_lines(L_322,M_320) ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_1554,plain,
! [N_323] :
( unequally_directed_lines('#skF_3',N_323)
| unequally_directed_lines('#skF_4',N_323) ),
inference(resolution,[status(thm)],[c_1278,c_1529]) ).
tff(c_739,plain,
! [X_203,Y_204] :
( unequally_directed_opposite_lines(X_203,Y_204)
| ~ unequally_directed_lines(X_203,reverse_line(Y_204)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_758,plain,
! [L_205,M_206] :
( unequally_directed_opposite_lines(L_205,M_206)
| unequally_directed_lines(L_205,M_206) ),
inference(resolution,[status(thm)],[c_88,c_739]) ).
tff(c_138,plain,
( ~ unequally_directed_opposite_lines('#skF_1','#skF_2')
| unequally_directed_opposite_lines('#skF_3','#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_180,plain,
~ unequally_directed_opposite_lines('#skF_1','#skF_2'),
inference(splitLeft,[status(thm)],[c_138]) ).
tff(c_776,plain,
unequally_directed_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_758,c_180]) ).
tff(c_1031,plain,
! [M_244,N_245,L_246] :
( unequally_directed_lines(M_244,N_245)
| unequally_directed_lines(L_246,N_245)
| ~ unequally_directed_lines(L_246,M_244) ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_1086,plain,
! [N_250] :
( unequally_directed_lines('#skF_2',N_250)
| unequally_directed_lines('#skF_1',N_250) ),
inference(resolution,[status(thm)],[c_776,c_1031]) ).
tff(c_324,plain,
! [L_140,M_141] :
( unequally_directed_lines(L_140,reverse_line(M_141))
| unequally_directed_lines(L_140,M_141) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_4,plain,
! [X_1,Y_2] :
( unequally_directed_opposite_lines(X_1,Y_2)
| ~ unequally_directed_lines(X_1,reverse_line(Y_2)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_341,plain,
! [L_142,M_143] :
( unequally_directed_opposite_lines(L_142,M_143)
| unequally_directed_lines(L_142,M_143) ),
inference(resolution,[status(thm)],[c_324,c_4]) ).
tff(c_357,plain,
unequally_directed_lines('#skF_4','#skF_3'),
inference(resolution,[status(thm)],[c_341,c_165]) ).
tff(c_552,plain,
! [M_173,N_174,L_175] :
( unequally_directed_lines(M_173,N_174)
| unequally_directed_lines(L_175,N_174)
| ~ unequally_directed_lines(L_175,M_173) ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_577,plain,
! [N_176] :
( unequally_directed_lines('#skF_3',N_176)
| unequally_directed_lines('#skF_4',N_176) ),
inference(resolution,[status(thm)],[c_357,c_552]) ).
tff(c_140,plain,
( unequally_directed_opposite_lines('#skF_2','#skF_1')
| unequally_directed_opposite_lines('#skF_3','#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_181,plain,
unequally_directed_opposite_lines('#skF_3','#skF_4'),
inference(splitLeft,[status(thm)],[c_140]) ).
tff(c_259,plain,
! [X_130,Y_131] :
( unequally_directed_lines(X_130,reverse_line(Y_131))
| ~ unequally_directed_opposite_lines(X_130,Y_131) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_96,plain,
! [L_46,M_47] : ~ left_convergent_lines(L_46,M_47),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_90,plain,
! [L_42,M_43] :
( left_convergent_lines(L_42,reverse_line(M_43))
| left_convergent_lines(L_42,M_43)
| ~ unequally_directed_lines(L_42,reverse_line(M_43))
| ~ unequally_directed_lines(L_42,M_43) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_148,plain,
! [L_42,M_43] :
( ~ unequally_directed_lines(L_42,reverse_line(M_43))
| ~ unequally_directed_lines(L_42,M_43) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_96,c_90]) ).
tff(c_272,plain,
! [X_132,Y_133] :
( ~ unequally_directed_lines(X_132,Y_133)
| ~ unequally_directed_opposite_lines(X_132,Y_133) ),
inference(resolution,[status(thm)],[c_259,c_148]) ).
tff(c_283,plain,
~ unequally_directed_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_181,c_272]) ).
tff(c_599,plain,
unequally_directed_lines('#skF_4','#skF_4'),
inference(resolution,[status(thm)],[c_577,c_283]) ).
tff(c_14,plain,
! [X_7,Y_8] :
( ~ unequally_directed_lines(X_7,Y_8)
| ~ equally_directed_lines(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_610,plain,
~ equally_directed_lines('#skF_4','#skF_4'),
inference(resolution,[status(thm)],[c_599,c_14]) ).
tff(c_616,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_76,c_610]) ).
tff(c_617,plain,
unequally_directed_opposite_lines('#skF_2','#skF_1'),
inference(splitRight,[status(thm)],[c_140]) ).
tff(c_2,plain,
! [X_1,Y_2] :
( unequally_directed_lines(X_1,reverse_line(Y_2))
| ~ unequally_directed_opposite_lines(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_695,plain,
! [L_199,M_200] :
( ~ unequally_directed_lines(L_199,reverse_line(M_200))
| ~ unequally_directed_lines(L_199,M_200) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_96,c_90]) ).
tff(c_714,plain,
! [X_201,Y_202] :
( ~ unequally_directed_lines(X_201,Y_202)
| ~ unequally_directed_opposite_lines(X_201,Y_202) ),
inference(resolution,[status(thm)],[c_2,c_695]) ).
tff(c_725,plain,
~ unequally_directed_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_617,c_714]) ).
tff(c_1109,plain,
unequally_directed_lines('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_1086,c_725]) ).
tff(c_1119,plain,
~ equally_directed_lines('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_1109,c_14]) ).
tff(c_1125,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_76,c_1119]) ).
tff(c_1126,plain,
unequally_directed_opposite_lines('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_138]) ).
tff(c_1196,plain,
! [X_270,Y_271] :
( unequally_directed_lines(X_270,reverse_line(Y_271))
| ~ unequally_directed_opposite_lines(X_270,Y_271) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_1206,plain,
! [X_275,Y_276] :
( ~ unequally_directed_lines(X_275,Y_276)
| ~ unequally_directed_opposite_lines(X_275,Y_276) ),
inference(resolution,[status(thm)],[c_1196,c_148]) ).
tff(c_1221,plain,
~ unequally_directed_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_1126,c_1206]) ).
tff(c_1577,plain,
unequally_directed_lines('#skF_4','#skF_4'),
inference(resolution,[status(thm)],[c_1554,c_1221]) ).
tff(c_1587,plain,
~ equally_directed_lines('#skF_4','#skF_4'),
inference(resolution,[status(thm)],[c_1577,c_14]) ).
tff(c_1593,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_76,c_1587]) ).
tff(c_1595,plain,
unequally_directed_opposite_lines('#skF_4','#skF_3'),
inference(splitRight,[status(thm)],[c_136]) ).
tff(c_134,plain,
( ~ unequally_directed_opposite_lines('#skF_1','#skF_2')
| ~ unequally_directed_opposite_lines('#skF_4','#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_1596,plain,
~ unequally_directed_opposite_lines('#skF_4','#skF_3'),
inference(splitLeft,[status(thm)],[c_134]) ).
tff(c_1598,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1595,c_1596]) ).
tff(c_1599,plain,
~ unequally_directed_opposite_lines('#skF_1','#skF_2'),
inference(splitRight,[status(thm)],[c_134]) ).
tff(c_1764,plain,
unequally_directed_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1752,c_1599]) ).
tff(c_1905,plain,
! [M_390,N_391,L_392] :
( unequally_directed_lines(M_390,N_391)
| unequally_directed_lines(L_392,N_391)
| ~ unequally_directed_lines(L_392,M_390) ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_1990,plain,
! [N_399] :
( unequally_directed_lines('#skF_2',N_399)
| unequally_directed_lines('#skF_1',N_399) ),
inference(resolution,[status(thm)],[c_1764,c_1905]) ).
tff(c_1594,plain,
unequally_directed_opposite_lines('#skF_2','#skF_1'),
inference(splitRight,[status(thm)],[c_136]) ).
tff(c_1682,plain,
! [X_355,Y_356] :
( unequally_directed_lines(X_355,reverse_line(Y_356))
| ~ unequally_directed_opposite_lines(X_355,Y_356) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_1692,plain,
! [X_360,Y_361] :
( ~ unequally_directed_lines(X_360,Y_361)
| ~ unequally_directed_opposite_lines(X_360,Y_361) ),
inference(resolution,[status(thm)],[c_1682,c_148]) ).
tff(c_1708,plain,
~ unequally_directed_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_1594,c_1692]) ).
tff(c_2013,plain,
unequally_directed_lines('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_1990,c_1708]) ).
tff(c_2023,plain,
~ equally_directed_lines('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_2013,c_14]) ).
tff(c_2029,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_76,c_2023]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO266+3 : TPTP v9.0.0. Released v4.0.0.
% 0.12/0.13 % 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
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 20:04:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 4.93/2.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.93/2.21
% 4.93/2.21 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------