TSTP Solution File: GEO170+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO170+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/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 : n001.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 10:38:24 EDT 2023
% Result : Theorem 6.77s 2.57s
% Output : CNFRefutation 6.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of formulae : 46 ( 13 unt; 19 typ; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 48 ( 19 ~; 20 |; 3 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 29 (; 29 !; 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
%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(orthogonal_lines,type,
orthogonal_lines: ( $i * $i ) > $o ).
tff(f_436,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& incident_point_and_line(X,Z)
& incident_point_and_line(Y,Z) )
=> equal_lines(Z,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO006+6.ax',a4) ).
tff(f_410,axiom,
! [X,Y] :
( equal_lines(X,Y)
<=> ~ distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax2) ).
tff(f_112,axiom,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_lines(U,V) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).
tff(f_84,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO006+0.ax',ci2) ).
tff(c_100,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_436]) ).
tff(c_98,plain,
incident_point_and_line('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_436]) ).
tff(c_108,plain,
! [X_93,Y_94] :
( ~ apart_point_and_line(X_93,Y_94)
| ~ incident_point_and_line(X_93,Y_94) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_116,plain,
~ apart_point_and_line('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_98,c_108]) ).
tff(c_96,plain,
incident_point_and_line('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_436]) ).
tff(c_115,plain,
~ apart_point_and_line('#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_96,c_108]) ).
tff(c_131,plain,
! [X_105,Y_106] :
( equal_lines(X_105,Y_106)
| distinct_lines(X_105,Y_106) ),
inference(cnfTransformation,[status(thm)],[f_410]) ).
tff(c_94,plain,
~ equal_lines('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_436]) ).
tff(c_135,plain,
distinct_lines('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(resolution,[status(thm)],[c_131,c_94]) ).
tff(c_3102,plain,
! [Y_452,V_453,U_454,X_455] :
( apart_point_and_line(Y_452,V_453)
| apart_point_and_line(Y_452,U_454)
| apart_point_and_line(X_455,V_453)
| apart_point_and_line(X_455,U_454)
| ~ distinct_lines(U_454,V_453)
| ~ distinct_points(X_455,Y_452) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_3224,plain,
! [Y_462,X_463] :
( apart_point_and_line(Y_462,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(Y_462,'#skF_3')
| apart_point_and_line(X_463,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_463,'#skF_3')
| ~ distinct_points(X_463,Y_462) ),
inference(resolution,[status(thm)],[c_135,c_3102]) ).
tff(c_3294,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2','#skF_3')
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1','#skF_3') ),
inference(resolution,[status(thm)],[c_100,c_3224]) ).
tff(c_3377,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_116,c_115,c_3294]) ).
tff(c_3378,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_3377]) ).
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_3385,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_3378,c_14]) ).
tff(c_3391,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_100,c_3385]) ).
tff(c_3392,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_3377]) ).
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_3400,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_3392,c_16]) ).
tff(c_3406,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_100,c_3400]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO170+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % 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
% 0.14/0.36 % Computer : n001.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 01:16:56 EDT 2023
% 0.14/0.36 % CPUTime :
% 6.77/2.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.77/2.58
% 6.77/2.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.77/2.61
% 6.77/2.61 Inference rules
% 6.77/2.61 ----------------------
% 6.77/2.61 #Ref : 0
% 6.77/2.61 #Sup : 700
% 6.77/2.61 #Fact : 66
% 6.77/2.61 #Define : 0
% 6.77/2.61 #Split : 3
% 6.77/2.61 #Chain : 0
% 6.77/2.61 #Close : 0
% 6.77/2.61
% 6.77/2.61 Ordering : KBO
% 6.77/2.61
% 6.77/2.61 Simplification rules
% 6.77/2.61 ----------------------
% 6.77/2.61 #Subsume : 88
% 6.77/2.61 #Demod : 112
% 6.77/2.61 #Tautology : 121
% 6.77/2.61 #SimpNegUnit : 41
% 6.77/2.61 #BackRed : 0
% 6.77/2.61
% 6.77/2.61 #Partial instantiations: 0
% 6.77/2.61 #Strategies tried : 1
% 6.77/2.61
% 6.77/2.61 Timing (in seconds)
% 6.77/2.61 ----------------------
% 6.77/2.61 Preprocessing : 0.54
% 6.77/2.61 Parsing : 0.30
% 6.77/2.61 CNF conversion : 0.04
% 6.77/2.61 Main loop : 1.00
% 6.77/2.61 Inferencing : 0.37
% 6.77/2.61 Reduction : 0.26
% 6.77/2.61 Demodulation : 0.16
% 6.77/2.61 BG Simplification : 0.04
% 6.77/2.61 Subsumption : 0.26
% 6.77/2.61 Abstraction : 0.03
% 6.77/2.61 MUC search : 0.00
% 6.77/2.61 Cooper : 0.00
% 6.77/2.61 Total : 1.59
% 6.77/2.61 Index Insertion : 0.00
% 6.77/2.61 Index Deletion : 0.00
% 6.77/2.61 Index Matching : 0.00
% 6.77/2.61 BG Taut test : 0.00
%------------------------------------------------------------------------------