TSTP Solution File: GEO268+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO268+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : n017.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 : Tue Aug 22 10:38:57 EDT 2023
% Result : Theorem 4.21s 2.08s
% Output : CNFRefutation 4.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 31
% Syntax : Number of formulae : 68 ( 21 unt; 26 typ; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 21 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 22 >; 23 *; 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 : 36 (; 36 !; 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_286,negated_conjecture,
~ ! [L,M] :
( unequally_directed_lines(L,M)
<=> unequally_directed_opposite_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_155,axiom,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
tff(f_173,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO009+0.ax',ax9_basics) ).
tff(c_138,plain,
( ~ unequally_directed_lines('#skF_1','#skF_2')
| unequally_directed_lines('#skF_3','#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_165,plain,
~ unequally_directed_lines('#skF_1','#skF_2'),
inference(splitLeft,[status(thm)],[c_138]) ).
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_140,plain,
( unequally_directed_opposite_lines('#skF_1',reverse_line('#skF_2'))
| unequally_directed_lines('#skF_3','#skF_4') ),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_221,plain,
unequally_directed_lines('#skF_3','#skF_4'),
inference(splitLeft,[status(thm)],[c_140]) ).
tff(c_301,plain,
! [X_139,Y_140] :
( unequally_directed_opposite_lines(X_139,Y_140)
| ~ unequally_directed_lines(X_139,reverse_line(Y_140)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_320,plain,
! [L_141,M_142] :
( unequally_directed_opposite_lines(L_141,M_142)
| unequally_directed_lines(L_141,M_142) ),
inference(resolution,[status(thm)],[c_88,c_301]) ).
tff(c_136,plain,
( unequally_directed_opposite_lines('#skF_1',reverse_line('#skF_2'))
| ~ unequally_directed_opposite_lines('#skF_3',reverse_line('#skF_4')) ),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_284,plain,
~ unequally_directed_opposite_lines('#skF_3',reverse_line('#skF_4')),
inference(splitLeft,[status(thm)],[c_136]) ).
tff(c_330,plain,
unequally_directed_lines('#skF_3',reverse_line('#skF_4')),
inference(resolution,[status(thm)],[c_320,c_284]) ).
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_341,plain,
~ unequally_directed_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_330,c_148]) ).
tff(c_351,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_221,c_341]) ).
tff(c_352,plain,
unequally_directed_opposite_lines('#skF_1',reverse_line('#skF_2')),
inference(splitRight,[status(thm)],[c_136]) ).
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_235,plain,
! [L_133,M_134] :
( ~ unequally_directed_lines(L_133,reverse_line(M_134))
| ~ unequally_directed_lines(L_133,M_134) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_96,c_90]) ).
tff(c_250,plain,
! [X_1,Y_2] :
( ~ unequally_directed_lines(X_1,Y_2)
| ~ unequally_directed_opposite_lines(X_1,Y_2) ),
inference(resolution,[status(thm)],[c_2,c_235]) ).
tff(c_360,plain,
~ unequally_directed_lines('#skF_1',reverse_line('#skF_2')),
inference(resolution,[status(thm)],[c_352,c_250]) ).
tff(c_379,plain,
unequally_directed_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_88,c_360]) ).
tff(c_390,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_165,c_379]) ).
tff(c_391,plain,
unequally_directed_opposite_lines('#skF_1',reverse_line('#skF_2')),
inference(splitRight,[status(thm)],[c_140]) ).
tff(c_465,plain,
! [X_157,Y_158] :
( unequally_directed_lines(X_157,reverse_line(Y_158))
| ~ unequally_directed_opposite_lines(X_157,Y_158) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_494,plain,
! [X_159,Y_160] :
( ~ unequally_directed_lines(X_159,Y_160)
| ~ unequally_directed_opposite_lines(X_159,Y_160) ),
inference(resolution,[status(thm)],[c_465,c_148]) ).
tff(c_512,plain,
~ unequally_directed_lines('#skF_1',reverse_line('#skF_2')),
inference(resolution,[status(thm)],[c_391,c_494]) ).
tff(c_520,plain,
unequally_directed_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_88,c_512]) ).
tff(c_531,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_165,c_520]) ).
tff(c_532,plain,
unequally_directed_lines('#skF_3','#skF_4'),
inference(splitRight,[status(thm)],[c_138]) ).
tff(c_665,plain,
! [X_201,Y_202] :
( unequally_directed_opposite_lines(X_201,Y_202)
| ~ unequally_directed_lines(X_201,reverse_line(Y_202)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_689,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_665]) ).
tff(c_533,plain,
unequally_directed_lines('#skF_1','#skF_2'),
inference(splitRight,[status(thm)],[c_138]) ).
tff(c_134,plain,
( ~ unequally_directed_lines('#skF_1','#skF_2')
| ~ unequally_directed_opposite_lines('#skF_3',reverse_line('#skF_4')) ),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_540,plain,
~ unequally_directed_opposite_lines('#skF_3',reverse_line('#skF_4')),
inference(demodulation,[status(thm),theory(equality)],[c_533,c_134]) ).
tff(c_701,plain,
unequally_directed_lines('#skF_3',reverse_line('#skF_4')),
inference(resolution,[status(thm)],[c_689,c_540]) ).
tff(c_710,plain,
~ unequally_directed_lines('#skF_3','#skF_4'),
inference(resolution,[status(thm)],[c_701,c_148]) ).
tff(c_720,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_532,c_710]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO268+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % 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
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 4 00:08:52 EDT 2023
% 0.14/0.36 % CPUTime :
% 4.21/2.08 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.21/2.08
% 4.21/2.08 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.21/2.11
% 4.21/2.11 Inference rules
% 4.21/2.11 ----------------------
% 4.21/2.11 #Ref : 0
% 4.21/2.11 #Sup : 116
% 4.21/2.11 #Fact : 0
% 4.21/2.11 #Define : 0
% 4.21/2.11 #Split : 6
% 4.21/2.11 #Chain : 0
% 4.21/2.11 #Close : 0
% 4.21/2.11
% 4.21/2.11 Ordering : KBO
% 4.21/2.11
% 4.21/2.11 Simplification rules
% 4.21/2.11 ----------------------
% 4.21/2.11 #Subsume : 42
% 4.21/2.11 #Demod : 6
% 4.21/2.11 #Tautology : 16
% 4.21/2.11 #SimpNegUnit : 20
% 4.21/2.11 #BackRed : 0
% 4.21/2.11
% 4.21/2.11 #Partial instantiations: 0
% 4.21/2.11 #Strategies tried : 1
% 4.21/2.11
% 4.21/2.11 Timing (in seconds)
% 4.21/2.11 ----------------------
% 4.21/2.12 Preprocessing : 0.58
% 4.21/2.12 Parsing : 0.31
% 4.21/2.12 CNF conversion : 0.05
% 4.21/2.12 Main loop : 0.44
% 4.21/2.12 Inferencing : 0.17
% 4.21/2.12 Reduction : 0.11
% 4.21/2.12 Demodulation : 0.07
% 4.21/2.12 BG Simplification : 0.03
% 4.21/2.12 Subsumption : 0.09
% 4.21/2.12 Abstraction : 0.02
% 4.21/2.12 MUC search : 0.00
% 4.21/2.12 Cooper : 0.00
% 4.21/2.12 Total : 1.07
% 4.21/2.12 Index Insertion : 0.00
% 4.21/2.12 Index Deletion : 0.00
% 4.21/2.12 Index Matching : 0.00
% 4.21/2.12 BG Taut test : 0.00
%------------------------------------------------------------------------------