%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO234+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 : n022.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 06:14:25 PM UTC 2025
% Result : Theorem 6.41s 2.48s
% Output : CNFRefutation 6.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 28 ~; 32 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 19 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 66 ( 66 !; 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
%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(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_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(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_288,negated_conjecture,
~ ! [L,M,N] :
( unequally_directed_opposite_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_opposite_lines(M,N) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
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_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_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(c_16,plain,
! [X_7,Y_8] :
( equally_directed_lines(X_7,Y_8)
| unequally_directed_lines(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_458,plain,
! [M_163,N_164,L_165] :
( unequally_directed_lines(M_163,N_164)
| unequally_directed_lines(L_165,N_164)
| ~ unequally_directed_lines(L_165,M_163) ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_2164,plain,
! [Y_252,N_253,X_254] :
( unequally_directed_lines(Y_252,N_253)
| unequally_directed_lines(X_254,N_253)
| equally_directed_lines(X_254,Y_252) ),
inference(resolution,[status(thm)],[c_16,c_458]) ).
tff(c_136,plain,
~ unequally_directed_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_288]) ).
tff(c_2647,plain,
! [X_259] :
( unequally_directed_lines(X_259,'#skF_3')
| equally_directed_lines(X_259,'#skF_1') ),
inference(resolution,[status(thm)],[c_2164,c_136]) ).
tff(c_76,plain,
! [L_33] : equally_directed_lines(L_33,L_33),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_231,plain,
! [L_126,M_127] :
( unequally_directed_lines(L_126,reverse_line(M_127))
| unequally_directed_lines(L_126,M_127) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
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_422,plain,
! [L_158,M_159] :
( ~ equally_directed_lines(L_158,reverse_line(M_159))
| unequally_directed_lines(L_158,M_159) ),
inference(resolution,[status(thm)],[c_231,c_14]) ).
tff(c_432,plain,
! [M_159] : unequally_directed_lines(reverse_line(M_159),M_159),
inference(resolution,[status(thm)],[c_76,c_422]) ).
tff(c_1340,plain,
! [M_226,N_227] :
( unequally_directed_lines(M_226,N_227)
| unequally_directed_lines(reverse_line(M_226),N_227) ),
inference(resolution,[status(thm)],[c_432,c_458]) ).
tff(c_1548,plain,
! [M_241,N_242] :
( ~ equally_directed_lines(reverse_line(M_241),N_242)
| unequally_directed_lines(M_241,N_242) ),
inference(resolution,[status(thm)],[c_1340,c_14]) ).
tff(c_1569,plain,
! [M_243] : unequally_directed_lines(M_243,reverse_line(M_243)),
inference(resolution,[status(thm)],[c_76,c_1548]) ).
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_146,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_1606,plain,
! [M_243] : ~ unequally_directed_lines(M_243,M_243),
inference(resolution,[status(thm)],[c_1569,c_146]) ).
tff(c_2687,plain,
equally_directed_lines('#skF_3','#skF_1'),
inference(resolution,[status(thm)],[c_2647,c_1606]) ).
tff(c_2832,plain,
! [X_264,N_265,Y_266] :
( ~ equally_directed_lines(X_264,N_265)
| unequally_directed_lines(Y_266,N_265)
| equally_directed_lines(X_264,Y_266) ),
inference(resolution,[status(thm)],[c_2164,c_14]) ).
tff(c_2996,plain,
! [Y_270,L_271] :
( unequally_directed_lines(Y_270,L_271)
| equally_directed_lines(L_271,Y_270) ),
inference(resolution,[status(thm)],[c_76,c_2832]) ).
tff(c_138,plain,
unequally_directed_opposite_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_288]) ).
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_295,plain,
! [L_144,M_145] :
( ~ unequally_directed_lines(L_144,reverse_line(M_145))
| ~ unequally_directed_lines(L_144,M_145) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_96,c_90]) ).
tff(c_320,plain,
! [X_148,Y_149] :
( ~ unequally_directed_lines(X_148,Y_149)
| ~ unequally_directed_opposite_lines(X_148,Y_149) ),
inference(resolution,[status(thm)],[c_2,c_295]) ).
tff(c_336,plain,
~ unequally_directed_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_138,c_320]) ).
tff(c_3061,plain,
equally_directed_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_2996,c_336]) ).
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_236,plain,
! [X_128,Y_129] :
( unequally_directed_opposite_lines(X_128,Y_129)
| ~ unequally_directed_lines(X_128,reverse_line(Y_129)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_260,plain,
! [L_132,M_133] :
( unequally_directed_opposite_lines(L_132,M_133)
| unequally_directed_lines(L_132,M_133) ),
inference(resolution,[status(thm)],[c_88,c_236]) ).
tff(c_134,plain,
~ unequally_directed_opposite_lines('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_288]) ).
tff(c_268,plain,
unequally_directed_lines('#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_260,c_134]) ).
tff(c_513,plain,
! [N_169] :
( unequally_directed_lines('#skF_3',N_169)
| unequally_directed_lines('#skF_2',N_169) ),
inference(resolution,[status(thm)],[c_268,c_458]) ).
tff(c_627,plain,
! [N_183] :
( ~ equally_directed_lines('#skF_2',N_183)
| unequally_directed_lines('#skF_3',N_183) ),
inference(resolution,[status(thm)],[c_513,c_14]) ).
tff(c_648,plain,
! [N_183] :
( ~ equally_directed_lines('#skF_3',N_183)
| ~ equally_directed_lines('#skF_2',N_183) ),
inference(resolution,[status(thm)],[c_627,c_14]) ).
tff(c_3071,plain,
~ equally_directed_lines('#skF_3','#skF_1'),
inference(resolution,[status(thm)],[c_3061,c_648]) ).
tff(c_3076,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2687,c_3071]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO234+3 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.13 % 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
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 7 20:01:21 EDT 2025
% 0.14/0.34 % CPUTime :
% 6.41/2.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.41/2.49
% 6.41/2.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------