TSTP Solution File: GEO231+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO231+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 : n006.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 10:38:48 EDT 2023
% Result : Theorem 5.08s 2.32s
% Output : CNFRefutation 5.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 33
% Syntax : Number of formulae : 61 ( 8 unt; 25 typ; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 26 ~; 29 |; 2 &)
% ( 3 <=>; 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 : 45 ( 22 >; 23 *; 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 : 61 (; 61 !; 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_288,negated_conjecture,
~ ! [L,M,N] :
( ( equally_directed_opposite_lines(L,M)
& equally_directed_lines(L,N) )
=> equally_directed_opposite_lines(M,N) ),
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_71,axiom,
! [X,Y] :
( equally_directed_opposite_lines(X,Y)
<=> ~ unequally_directed_opposite_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a5_defns) ).
tff(f_66,axiom,
! [X,Y] :
( equally_directed_lines(X,Y)
<=> ~ unequally_directed_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a4_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(f_139,axiom,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax6_basics) ).
tff(c_138,plain,
equally_directed_opposite_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_288]) ).
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_220,plain,
! [X_127,Y_128] :
( unequally_directed_opposite_lines(X_127,Y_128)
| ~ unequally_directed_lines(X_127,reverse_line(Y_128)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_239,plain,
! [L_129,M_130] :
( unequally_directed_opposite_lines(L_129,M_130)
| unequally_directed_lines(L_129,M_130) ),
inference(resolution,[status(thm)],[c_88,c_220]) ).
tff(c_18,plain,
! [X_9,Y_10] :
( ~ unequally_directed_opposite_lines(X_9,Y_10)
| ~ equally_directed_opposite_lines(X_9,Y_10) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_244,plain,
! [L_131,M_132] :
( ~ equally_directed_opposite_lines(L_131,M_132)
| unequally_directed_lines(L_131,M_132) ),
inference(resolution,[status(thm)],[c_239,c_18]) ).
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_254,plain,
! [L_133,M_134] :
( ~ equally_directed_lines(L_133,M_134)
| ~ equally_directed_opposite_lines(L_133,M_134) ),
inference(resolution,[status(thm)],[c_244,c_14]) ).
tff(c_258,plain,
~ equally_directed_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_138,c_254]) ).
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_20,plain,
! [X_9,Y_10] :
( equally_directed_opposite_lines(X_9,Y_10)
| unequally_directed_opposite_lines(X_9,Y_10) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
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_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_259,plain,
! [L_135,M_136] :
( ~ unequally_directed_lines(L_135,reverse_line(M_136))
| ~ unequally_directed_lines(L_135,M_136) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_96,c_90]) ).
tff(c_283,plain,
! [X_137,Y_138] :
( ~ unequally_directed_lines(X_137,Y_138)
| ~ unequally_directed_opposite_lines(X_137,Y_138) ),
inference(resolution,[status(thm)],[c_2,c_259]) ).
tff(c_320,plain,
! [X_146,Y_147] :
( ~ unequally_directed_lines(X_146,Y_147)
| equally_directed_opposite_lines(X_146,Y_147) ),
inference(resolution,[status(thm)],[c_20,c_283]) ).
tff(c_337,plain,
! [X_148,Y_149] :
( equally_directed_opposite_lines(X_148,Y_149)
| equally_directed_lines(X_148,Y_149) ),
inference(resolution,[status(thm)],[c_16,c_320]) ).
tff(c_134,plain,
~ equally_directed_opposite_lines('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_288]) ).
tff(c_345,plain,
equally_directed_lines('#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_337,c_134]) ).
tff(c_136,plain,
equally_directed_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_288]) ).
tff(c_392,plain,
! [M_160,N_161,L_162] :
( unequally_directed_lines(M_160,N_161)
| unequally_directed_lines(L_162,N_161)
| ~ unequally_directed_lines(L_162,M_160) ),
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_1062,plain,
! [Y_224,N_225,X_226] :
( unequally_directed_lines(Y_224,N_225)
| unequally_directed_lines(X_226,N_225)
| equally_directed_lines(X_226,Y_224) ),
inference(resolution,[status(thm)],[c_16,c_392]) ).
tff(c_1946,plain,
! [X_265,N_266,Y_267] :
( ~ equally_directed_lines(X_265,N_266)
| unequally_directed_lines(Y_267,N_266)
| equally_directed_lines(X_265,Y_267) ),
inference(resolution,[status(thm)],[c_1062,c_14]) ).
tff(c_2001,plain,
! [Y_268] :
( unequally_directed_lines(Y_268,'#skF_3')
| equally_directed_lines('#skF_1',Y_268) ),
inference(resolution,[status(thm)],[c_136,c_1946]) ).
tff(c_2381,plain,
! [Y_276] :
( ~ equally_directed_lines(Y_276,'#skF_3')
| equally_directed_lines('#skF_1',Y_276) ),
inference(resolution,[status(thm)],[c_2001,c_14]) ).
tff(c_2396,plain,
equally_directed_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_345,c_2381]) ).
tff(c_2413,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_258,c_2396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO231+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 : n006.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 00:16:43 EDT 2023
% 0.14/0.36 % CPUTime :
% 5.08/2.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.50/2.34
% 5.50/2.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.50/2.38
% 5.50/2.38 Inference rules
% 5.50/2.38 ----------------------
% 5.50/2.38 #Ref : 0
% 5.50/2.38 #Sup : 481
% 5.50/2.38 #Fact : 8
% 5.50/2.38 #Define : 0
% 5.50/2.38 #Split : 1
% 5.50/2.38 #Chain : 0
% 5.50/2.38 #Close : 0
% 5.50/2.38
% 5.50/2.38 Ordering : KBO
% 5.50/2.38
% 5.50/2.38 Simplification rules
% 5.50/2.38 ----------------------
% 5.50/2.38 #Subsume : 126
% 5.50/2.38 #Demod : 108
% 5.50/2.38 #Tautology : 119
% 5.50/2.38 #SimpNegUnit : 25
% 5.50/2.38 #BackRed : 0
% 5.50/2.38
% 5.50/2.38 #Partial instantiations: 0
% 5.50/2.38 #Strategies tried : 1
% 5.50/2.38
% 5.50/2.38 Timing (in seconds)
% 5.50/2.38 ----------------------
% 5.50/2.38 Preprocessing : 0.57
% 5.50/2.38 Parsing : 0.31
% 5.50/2.38 CNF conversion : 0.04
% 5.50/2.38 Main loop : 0.71
% 5.50/2.38 Inferencing : 0.26
% 5.50/2.38 Reduction : 0.19
% 5.50/2.38 Demodulation : 0.12
% 5.50/2.38 BG Simplification : 0.04
% 5.50/2.38 Subsumption : 0.18
% 5.50/2.38 Abstraction : 0.02
% 5.50/2.38 MUC search : 0.00
% 5.50/2.38 Cooper : 0.00
% 5.50/2.38 Total : 1.36
% 5.50/2.38 Index Insertion : 0.00
% 5.50/2.39 Index Deletion : 0.00
% 5.50/2.39 Index Matching : 0.00
% 5.50/2.39 BG Taut test : 0.00
%------------------------------------------------------------------------------