TSTP Solution File: GEO172+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO172+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : n018.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 4.30s 2.23s
% Output : CNFRefutation 4.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 41 ( 12 unt; 9 typ; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 74 ( 26 ~; 39 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 6 >; 6 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 48 (; 48 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > 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(distinct_points,type,
distinct_points: ( $i * $i ) > $o ).
tff(intersection_point,type,
intersection_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('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(f_61,axiom,
! [X] : ~ distinct_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart2) ).
tff(f_143,negated_conjecture,
~ ! [X,Y,Z] :
( ( convergent_lines(X,Y)
& ~ apart_point_and_line(Z,X)
& ~ apart_point_and_line(Z,Y) )
=> ~ distinct_points(Z,intersection_point(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_129,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq3) ).
tff(f_76,axiom,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart5) ).
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/sandbox2/benchmark/Axioms/GEO008+0.ax',cu1) ).
tff(f_99,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( ( apart_point_and_line(Z,X)
| apart_point_and_line(Z,Y) )
=> distinct_points(Z,intersection_point(X,Y)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).
tff(f_58,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(c_4,plain,
! [X_2] : ~ distinct_lines(X_2,X_2),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_34,plain,
~ apart_point_and_line('#skF_3','#skF_1'),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_36,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_32,plain,
~ apart_point_and_line('#skF_3','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_30,plain,
distinct_points('#skF_3',intersection_point('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_28,plain,
! [X_29,Y_30] :
( distinct_lines(X_29,Y_30)
| ~ convergent_lines(X_29,Y_30) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_46,plain,
! [Y_36,Z_37,X_38] :
( distinct_lines(Y_36,Z_37)
| distinct_lines(X_38,Z_37)
| ~ distinct_lines(X_38,Y_36) ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_90,plain,
! [Y_58,Z_59,X_60] :
( distinct_lines(Y_58,Z_59)
| distinct_lines(X_60,Z_59)
| ~ convergent_lines(X_60,Y_58) ),
inference(resolution,[status(thm)],[c_28,c_46]) ).
tff(c_96,plain,
! [Z_59] :
( distinct_lines('#skF_2',Z_59)
| distinct_lines('#skF_1',Z_59) ),
inference(resolution,[status(thm)],[c_36,c_90]) ).
tff(c_944,plain,
! [Y_117,V_118,U_119,X_120] :
( apart_point_and_line(Y_117,V_118)
| apart_point_and_line(Y_117,U_119)
| apart_point_and_line(X_120,V_118)
| apart_point_and_line(X_120,U_119)
| ~ distinct_lines(U_119,V_118)
| ~ distinct_points(X_120,Y_117) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1127,plain,
! [Y_124,Z_125,X_126] :
( apart_point_and_line(Y_124,Z_125)
| apart_point_and_line(Y_124,'#skF_2')
| apart_point_and_line(X_126,Z_125)
| apart_point_and_line(X_126,'#skF_2')
| ~ distinct_points(X_126,Y_124)
| distinct_lines('#skF_1',Z_125) ),
inference(resolution,[status(thm)],[c_96,c_944]) ).
tff(c_1143,plain,
! [Z_125] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_125)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line('#skF_3',Z_125)
| apart_point_and_line('#skF_3','#skF_2')
| distinct_lines('#skF_1',Z_125) ),
inference(resolution,[status(thm)],[c_30,c_1127]) ).
tff(c_1155,plain,
! [Z_125] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_125)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line('#skF_3',Z_125)
| distinct_lines('#skF_1',Z_125) ),
inference(negUnitSimplification,[status(thm)],[c_32,c_1143]) ).
tff(c_1479,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_1155]) ).
tff(c_80,plain,
! [Z_53,Y_54,X_55] :
( ~ apart_point_and_line(Z_53,Y_54)
| distinct_points(Z_53,intersection_point(X_55,Y_54))
| ~ convergent_lines(X_55,Y_54) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_88,plain,
! [X_55,Y_54] :
( ~ apart_point_and_line(intersection_point(X_55,Y_54),Y_54)
| ~ convergent_lines(X_55,Y_54) ),
inference(resolution,[status(thm)],[c_80,c_2]) ).
tff(c_1484,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1479,c_88]) ).
tff(c_1493,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36,c_1484]) ).
tff(c_1789,plain,
! [Z_158] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_158)
| apart_point_and_line('#skF_3',Z_158)
| distinct_lines('#skF_1',Z_158) ),
inference(splitRight,[status(thm)],[c_1155]) ).
tff(c_735,plain,
! [Z_101,X_102,Y_103] :
( ~ apart_point_and_line(Z_101,X_102)
| distinct_points(Z_101,intersection_point(X_102,Y_103))
| ~ convergent_lines(X_102,Y_103) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_743,plain,
! [X_102,Y_103] :
( ~ apart_point_and_line(intersection_point(X_102,Y_103),X_102)
| ~ convergent_lines(X_102,Y_103) ),
inference(resolution,[status(thm)],[c_735,c_2]) ).
tff(c_1800,plain,
( ~ convergent_lines('#skF_1','#skF_2')
| apart_point_and_line('#skF_3','#skF_1')
| distinct_lines('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_1789,c_743]) ).
tff(c_1824,plain,
( apart_point_and_line('#skF_3','#skF_1')
| distinct_lines('#skF_1','#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_1800]) ).
tff(c_1826,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_34,c_1824]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO172+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : n018.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 00:38:36 EDT 2023
% 0.14/0.36 % CPUTime :
% 4.30/2.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.30/2.23
% 4.30/2.23 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.30/2.27
% 4.30/2.27 Inference rules
% 4.30/2.27 ----------------------
% 4.30/2.27 #Ref : 0
% 4.30/2.27 #Sup : 299
% 4.30/2.27 #Fact : 70
% 4.30/2.27 #Define : 0
% 4.30/2.27 #Split : 2
% 4.30/2.27 #Chain : 0
% 4.30/2.27 #Close : 0
% 4.30/2.27
% 4.30/2.27 Ordering : KBO
% 4.30/2.27
% 4.30/2.27 Simplification rules
% 4.30/2.27 ----------------------
% 4.30/2.27 #Subsume : 63
% 4.30/2.27 #Demod : 80
% 4.30/2.27 #Tautology : 78
% 4.30/2.27 #SimpNegUnit : 13
% 4.30/2.27 #BackRed : 0
% 4.30/2.27
% 4.30/2.27 #Partial instantiations: 0
% 4.30/2.27 #Strategies tried : 1
% 4.30/2.27
% 4.30/2.27 Timing (in seconds)
% 4.30/2.27 ----------------------
% 4.30/2.27 Preprocessing : 0.46
% 4.30/2.27 Parsing : 0.26
% 4.30/2.27 CNF conversion : 0.03
% 4.30/2.27 Main loop : 0.74
% 4.30/2.27 Inferencing : 0.28
% 4.30/2.27 Reduction : 0.16
% 4.30/2.27 Demodulation : 0.09
% 4.30/2.27 BG Simplification : 0.03
% 4.30/2.27 Subsumption : 0.23
% 4.30/2.27 Abstraction : 0.03
% 4.30/2.27 MUC search : 0.00
% 4.30/2.27 Cooper : 0.00
% 4.30/2.27 Total : 1.26
% 4.30/2.27 Index Insertion : 0.00
% 4.30/2.27 Index Deletion : 0.00
% 4.30/2.27 Index Matching : 0.00
% 4.30/2.27 BG Taut test : 0.00
%------------------------------------------------------------------------------