TSTP Solution File: GEO183+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO183+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 : n032.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 10:38:30 EDT 2023
% Result : Theorem 4.31s 2.10s
% Output : CNFRefutation 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of formulae : 51 ( 14 unt; 20 typ; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 46 ( 23 ~; 14 |; 3 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 16 >; 14 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 35 (; 35 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ unorthogonal_lines > parallel_lines > orthogonal_lines > incident_point_and_line > equal_points > equal_lines > distinct_points > distinct_lines > convergent_lines > apart_point_and_line > point > line > parallel_through_point > orthogonal_through_point > line_connecting > intersection_point > #nlpp > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(line_connecting,type,
line_connecting: ( $i * $i ) > $i ).
tff(equal_lines,type,
equal_lines: ( $i * $i ) > $o ).
tff(equal_points,type,
equal_points: ( $i * $i ) > $o ).
tff(incident_point_and_line,type,
incident_point_and_line: ( $i * $i ) > $o ).
tff(distinct_points,type,
distinct_points: ( $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(orthogonal_through_point,type,
orthogonal_through_point: ( $i * $i ) > $i ).
tff(point,type,
point: $i > $o ).
tff(line,type,
line: $i > $o ).
tff(parallel_lines,type,
parallel_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(unorthogonal_lines,type,
unorthogonal_lines: ( $i * $i ) > $o ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(orthogonal_lines,type,
orthogonal_lines: ( $i * $i ) > $o ).
tff(f_438,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& equal_lines(U,line_connecting(X,Y)) )
=> ( incident_point_and_line(X,U)
& incident_point_and_line(Y,U) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_420,axiom,
! [X,Y] :
( incident_point_and_line(X,Y)
<=> ~ apart_point_and_line(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a4) ).
tff(f_125,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq2) ).
tff(f_410,axiom,
! [X,Y] :
( equal_lines(X,Y)
<=> ~ distinct_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',ax2) ).
tff(f_84,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).
tff(f_89,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci2) ).
tff(c_100,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_821,plain,
! [X_251,Y_252] :
( incident_point_and_line(X_251,Y_252)
| apart_point_and_line(X_251,Y_252) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_151,plain,
! [X_117,Y_118] :
( incident_point_and_line(X_117,Y_118)
| apart_point_and_line(X_117,Y_118) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_94,plain,
( ~ incident_point_and_line('#skF_2','#skF_3')
| ~ incident_point_and_line('#skF_1','#skF_3') ),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_107,plain,
~ incident_point_and_line('#skF_1','#skF_3'),
inference(splitLeft,[status(thm)],[c_94]) ).
tff(c_159,plain,
apart_point_and_line('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_151,c_107]) ).
tff(c_746,plain,
! [X_223,Z_224,Y_225] :
( apart_point_and_line(X_223,Z_224)
| distinct_lines(Y_225,Z_224)
| ~ apart_point_and_line(X_223,Y_225) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_750,plain,
! [Z_226] :
( apart_point_and_line('#skF_1',Z_226)
| distinct_lines('#skF_3',Z_226) ),
inference(resolution,[status(thm)],[c_159,c_746]) ).
tff(c_96,plain,
equal_lines('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_438]) ).
tff(c_133,plain,
! [X_113,Y_114] :
( ~ distinct_lines(X_113,Y_114)
| ~ equal_lines(X_113,Y_114) ),
inference(cnfTransformation,[status(thm)],[f_410]) ).
tff(c_141,plain,
~ distinct_lines('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_96,c_133]) ).
tff(c_764,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_750,c_141]) ).
tff(c_14,plain,
! [X_13,Y_14] :
( ~ apart_point_and_line(X_13,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_774,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_764,c_14]) ).
tff(c_780,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_100,c_774]) ).
tff(c_781,plain,
~ incident_point_and_line('#skF_2','#skF_3'),
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_829,plain,
apart_point_and_line('#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_821,c_781]) ).
tff(c_1099,plain,
! [X_302,Z_303,Y_304] :
( apart_point_and_line(X_302,Z_303)
| distinct_lines(Y_304,Z_303)
| ~ apart_point_and_line(X_302,Y_304) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_1103,plain,
! [Z_305] :
( apart_point_and_line('#skF_2',Z_305)
| distinct_lines('#skF_3',Z_305) ),
inference(resolution,[status(thm)],[c_829,c_1099]) ).
tff(c_835,plain,
! [X_255,Y_256] :
( ~ distinct_lines(X_255,Y_256)
| ~ equal_lines(X_255,Y_256) ),
inference(cnfTransformation,[status(thm)],[f_410]) ).
tff(c_843,plain,
~ distinct_lines('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_96,c_835]) ).
tff(c_1117,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_1103,c_843]) ).
tff(c_16,plain,
! [Y_16,X_15] :
( ~ apart_point_and_line(Y_16,line_connecting(X_15,Y_16))
| ~ distinct_points(X_15,Y_16) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_1125,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1117,c_16]) ).
tff(c_1130,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_100,c_1125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO183+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % 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
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri Aug 4 00:42:36 EDT 2023
% 0.11/0.31 % CPUTime :
% 4.31/2.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.31/2.11
% 4.31/2.11 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.70/2.14
% 4.70/2.14 Inference rules
% 4.70/2.14 ----------------------
% 4.70/2.14 #Ref : 0
% 4.70/2.14 #Sup : 212
% 4.70/2.14 #Fact : 6
% 4.70/2.14 #Define : 0
% 4.70/2.14 #Split : 1
% 4.70/2.14 #Chain : 0
% 4.70/2.14 #Close : 0
% 4.70/2.14
% 4.70/2.14 Ordering : KBO
% 4.70/2.14
% 4.70/2.14 Simplification rules
% 4.70/2.14 ----------------------
% 4.70/2.14 #Subsume : 20
% 4.70/2.14 #Demod : 43
% 4.70/2.14 #Tautology : 51
% 4.70/2.14 #SimpNegUnit : 2
% 4.70/2.14 #BackRed : 0
% 4.70/2.14
% 4.70/2.14 #Partial instantiations: 0
% 4.70/2.14 #Strategies tried : 1
% 4.70/2.14
% 4.70/2.14 Timing (in seconds)
% 4.70/2.14 ----------------------
% 4.70/2.14 Preprocessing : 0.55
% 4.70/2.14 Parsing : 0.31
% 4.70/2.14 CNF conversion : 0.04
% 4.70/2.14 Main loop : 0.58
% 4.70/2.14 Inferencing : 0.24
% 4.70/2.14 Reduction : 0.15
% 4.70/2.14 Demodulation : 0.09
% 4.70/2.14 BG Simplification : 0.03
% 4.70/2.14 Subsumption : 0.12
% 4.70/2.14 Abstraction : 0.02
% 4.70/2.14 MUC search : 0.00
% 4.70/2.14 Cooper : 0.00
% 4.70/2.14 Total : 1.19
% 4.70/2.14 Index Insertion : 0.00
% 4.70/2.14 Index Deletion : 0.00
% 4.70/2.14 Index Matching : 0.00
% 4.70/2.14 BG Taut test : 0.00
%------------------------------------------------------------------------------