TSTP Solution File: GEO193+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO193+1 : 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 : n028.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 10:38:34 EDT 2023
% Result : Theorem 22.54s 12.79s
% Output : CNFRefutation 22.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 69 ( 19 unt; 9 typ; 0 def)
% Number of atoms : 179 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 150 ( 31 ~; 106 |; 3 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 101 (; 101 !; 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_57,axiom,
! [X] : ~ distinct_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart2) ).
tff(f_144,negated_conjecture,
~ ! [X,Y,Z] :
( ( convergent_lines(X,Y)
& convergent_lines(Z,Y)
& convergent_lines(X,Z) )
=> ( apart_point_and_line(intersection_point(X,Y),Z)
=> apart_point_and_line(intersection_point(Z,Y),X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_119,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq1) ).
tff(f_131,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).
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/GEO006+0.ax',cu1) ).
tff(f_99,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci4) ).
tff(f_60,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
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_78,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).
tff(f_94,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci3) ).
tff(f_72,axiom,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart5) ).
tff(c_4,plain,
! [X_2] : ~ distinct_lines(X_2,X_2),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_38,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_32,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_67,plain,
! [Z_52,Y_53,X_54] :
( apart_point_and_line(Z_52,Y_53)
| distinct_points(X_54,Z_52)
| ~ apart_point_and_line(X_54,Y_53) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_70,plain,
! [Z_52] :
( apart_point_and_line(Z_52,'#skF_3')
| distinct_points(intersection_point('#skF_1','#skF_2'),Z_52) ),
inference(resolution,[status(thm)],[c_32,c_67]) ).
tff(c_191,plain,
! [X_65,Z_66,Y_67] :
( convergent_lines(X_65,Z_66)
| distinct_lines(Y_67,Z_66)
| ~ convergent_lines(X_65,Y_67) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_224,plain,
! [Z_66] :
( convergent_lines('#skF_1',Z_66)
| distinct_lines('#skF_2',Z_66) ),
inference(resolution,[status(thm)],[c_38,c_191]) ).
tff(c_302,plain,
! [Y_80,V_81,U_82,X_83] :
( apart_point_and_line(Y_80,V_81)
| apart_point_and_line(Y_80,U_82)
| apart_point_and_line(X_83,V_81)
| apart_point_and_line(X_83,U_82)
| ~ distinct_lines(U_82,V_81)
| ~ distinct_points(X_83,Y_80) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1804,plain,
! [Y_157,Z_158,X_159] :
( apart_point_and_line(Y_157,Z_158)
| apart_point_and_line(Y_157,'#skF_2')
| apart_point_and_line(X_159,Z_158)
| apart_point_and_line(X_159,'#skF_2')
| ~ distinct_points(X_159,Y_157)
| convergent_lines('#skF_1',Z_158) ),
inference(resolution,[status(thm)],[c_224,c_302]) ).
tff(c_1819,plain,
! [Z_52,Z_158] :
( apart_point_and_line(Z_52,Z_158)
| apart_point_and_line(Z_52,'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_158)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| convergent_lines('#skF_1',Z_158)
| apart_point_and_line(Z_52,'#skF_3') ),
inference(resolution,[status(thm)],[c_70,c_1804]) ).
tff(c_1941,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_1819]) ).
tff(c_20,plain,
! [X_19,Y_20] :
( ~ apart_point_and_line(intersection_point(X_19,Y_20),Y_20)
| ~ convergent_lines(X_19,Y_20) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_1948,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1941,c_20]) ).
tff(c_1954,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_1948]) ).
tff(c_1956,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitRight,[status(thm)],[c_1819]) ).
tff(c_36,plain,
convergent_lines('#skF_3','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_156,plain,
! [X_61,Z_62,Y_63] :
( apart_point_and_line(X_61,Z_62)
| distinct_lines(Y_63,Z_62)
| ~ apart_point_and_line(X_61,Y_63) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_160,plain,
! [Z_64] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_64)
| distinct_lines('#skF_3',Z_64) ),
inference(resolution,[status(thm)],[c_32,c_156]) ).
tff(c_24,plain,
! [Z_27,Y_26,X_25] :
( apart_point_and_line(Z_27,Y_26)
| distinct_points(X_25,Z_27)
| ~ apart_point_and_line(X_25,Y_26) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_182,plain,
! [Z_27,Z_64] :
( apart_point_and_line(Z_27,Z_64)
| distinct_points(intersection_point('#skF_1','#skF_2'),Z_27)
| distinct_lines('#skF_3',Z_64) ),
inference(resolution,[status(thm)],[c_160,c_24]) ).
tff(c_47,plain,
! [Y_48,Z_49,X_50] :
( convergent_lines(Y_48,Z_49)
| convergent_lines(X_50,Z_49)
| ~ convergent_lines(X_50,Y_48) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_56,plain,
! [Z_49] :
( convergent_lines('#skF_2',Z_49)
| convergent_lines('#skF_1',Z_49) ),
inference(resolution,[status(thm)],[c_38,c_47]) ).
tff(c_220,plain,
! [Z_66,Z_49] :
( convergent_lines('#skF_2',Z_66)
| distinct_lines(Z_49,Z_66)
| convergent_lines('#skF_1',Z_49) ),
inference(resolution,[status(thm)],[c_56,c_191]) ).
tff(c_14291,plain,
! [Y_642,Z_643,Z_644,X_645] :
( apart_point_and_line(Y_642,Z_643)
| apart_point_and_line(Y_642,Z_644)
| apart_point_and_line(X_645,Z_643)
| apart_point_and_line(X_645,Z_644)
| ~ distinct_points(X_645,Y_642)
| convergent_lines('#skF_2',Z_643)
| convergent_lines('#skF_1',Z_644) ),
inference(resolution,[status(thm)],[c_220,c_302]) ).
tff(c_40023,plain,
! [Z_1422,Z_1423,Z_1424,Z_1425] :
( apart_point_and_line(Z_1422,Z_1423)
| apart_point_and_line(Z_1422,Z_1424)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_1423)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_1424)
| convergent_lines('#skF_2',Z_1423)
| convergent_lines('#skF_1',Z_1424)
| apart_point_and_line(Z_1422,Z_1425)
| distinct_lines('#skF_3',Z_1425) ),
inference(resolution,[status(thm)],[c_182,c_14291]) ).
tff(c_30,plain,
~ apart_point_and_line(intersection_point('#skF_3','#skF_2'),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_40071,plain,
! [Z_1423,Z_1425] :
( apart_point_and_line(intersection_point('#skF_3','#skF_2'),Z_1423)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_1423)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| convergent_lines('#skF_2',Z_1423)
| convergent_lines('#skF_1','#skF_1')
| apart_point_and_line(intersection_point('#skF_3','#skF_2'),Z_1425)
| distinct_lines('#skF_3',Z_1425) ),
inference(resolution,[status(thm)],[c_40023,c_30]) ).
tff(c_40166,plain,
! [Z_1423,Z_1425] :
( apart_point_and_line(intersection_point('#skF_3','#skF_2'),Z_1423)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_1423)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| convergent_lines('#skF_2',Z_1423)
| apart_point_and_line(intersection_point('#skF_3','#skF_2'),Z_1425)
| distinct_lines('#skF_3',Z_1425) ),
inference(negUnitSimplification,[status(thm)],[c_6,c_40071]) ).
tff(c_40691,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_40166]) ).
tff(c_18,plain,
! [X_17,Y_18] :
( ~ apart_point_and_line(intersection_point(X_17,Y_18),X_17)
| ~ convergent_lines(X_17,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_40698,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_40691,c_18]) ).
tff(c_40704,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_40698]) ).
tff(c_40706,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitRight,[status(thm)],[c_40166]) ).
tff(c_252,plain,
! [Y_73,Z_74,X_75] :
( distinct_lines(Y_73,Z_74)
| distinct_lines(X_75,Z_74)
| ~ distinct_lines(X_75,Y_73) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_483,plain,
! [Z_92,Z_93] :
( distinct_lines(Z_92,Z_93)
| distinct_lines('#skF_2',Z_93)
| convergent_lines('#skF_1',Z_92) ),
inference(resolution,[status(thm)],[c_224,c_252]) ).
tff(c_22,plain,
! [Y_22,V_24,U_23,X_21] :
( apart_point_and_line(Y_22,V_24)
| apart_point_and_line(Y_22,U_23)
| apart_point_and_line(X_21,V_24)
| apart_point_and_line(X_21,U_23)
| ~ distinct_lines(U_23,V_24)
| ~ distinct_points(X_21,Y_22) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_18059,plain,
! [Y_760,Z_761,Z_762,X_763] :
( apart_point_and_line(Y_760,Z_761)
| apart_point_and_line(Y_760,Z_762)
| apart_point_and_line(X_763,Z_761)
| apart_point_and_line(X_763,Z_762)
| ~ distinct_points(X_763,Y_760)
| distinct_lines('#skF_2',Z_761)
| convergent_lines('#skF_1',Z_762) ),
inference(resolution,[status(thm)],[c_483,c_22]) ).
tff(c_45368,plain,
! [Z_1576,Z_1577,Z_1578,Z_1579] :
( apart_point_and_line(Z_1576,Z_1577)
| apart_point_and_line(Z_1576,Z_1578)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_1577)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_1578)
| distinct_lines('#skF_2',Z_1577)
| convergent_lines('#skF_1',Z_1578)
| apart_point_and_line(Z_1576,Z_1579)
| distinct_lines('#skF_3',Z_1579) ),
inference(resolution,[status(thm)],[c_182,c_18059]) ).
tff(c_45418,plain,
! [Z_1577,Z_1579] :
( apart_point_and_line(intersection_point('#skF_3','#skF_2'),Z_1577)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_1577)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| distinct_lines('#skF_2',Z_1577)
| convergent_lines('#skF_1','#skF_1')
| apart_point_and_line(intersection_point('#skF_3','#skF_2'),Z_1579)
| distinct_lines('#skF_3',Z_1579) ),
inference(resolution,[status(thm)],[c_45368,c_30]) ).
tff(c_45523,plain,
! [Z_1577,Z_1579] :
( apart_point_and_line(intersection_point('#skF_3','#skF_2'),Z_1577)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_1577)
| distinct_lines('#skF_2',Z_1577)
| apart_point_and_line(intersection_point('#skF_3','#skF_2'),Z_1579)
| distinct_lines('#skF_3',Z_1579) ),
inference(negUnitSimplification,[status(thm)],[c_6,c_40706,c_45418]) ).
tff(c_46088,plain,
! [Z_1597] :
( apart_point_and_line(intersection_point('#skF_3','#skF_2'),Z_1597)
| distinct_lines('#skF_3',Z_1597) ),
inference(splitLeft,[status(thm)],[c_45523]) ).
tff(c_46100,plain,
( ~ convergent_lines('#skF_3','#skF_2')
| distinct_lines('#skF_3','#skF_3') ),
inference(resolution,[status(thm)],[c_46088,c_18]) ).
tff(c_46117,plain,
distinct_lines('#skF_3','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_46100]) ).
tff(c_46119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_46117]) ).
tff(c_46692,plain,
! [Z_1622] :
( apart_point_and_line(intersection_point('#skF_3','#skF_2'),Z_1622)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_1622)
| distinct_lines('#skF_2',Z_1622) ),
inference(splitRight,[status(thm)],[c_45523]) ).
tff(c_46708,plain,
( ~ convergent_lines('#skF_3','#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| distinct_lines('#skF_2','#skF_2') ),
inference(resolution,[status(thm)],[c_46692,c_20]) ).
tff(c_46724,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| distinct_lines('#skF_2','#skF_2') ),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_46708]) ).
tff(c_46726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_1956,c_46724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO193+1 : 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
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 4 00:33:09 EDT 2023
% 0.15/0.35 % CPUTime :
% 22.54/12.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.54/12.80
% 22.54/12.80 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 22.54/12.83
% 22.54/12.83 Inference rules
% 22.54/12.83 ----------------------
% 22.54/12.83 #Ref : 0
% 22.54/12.83 #Sup : 6739
% 22.54/12.83 #Fact : 2494
% 22.54/12.83 #Define : 0
% 22.54/12.83 #Split : 7
% 22.54/12.83 #Chain : 0
% 22.54/12.83 #Close : 0
% 22.54/12.83
% 22.54/12.83 Ordering : KBO
% 22.54/12.83
% 22.54/12.83 Simplification rules
% 22.54/12.83 ----------------------
% 22.54/12.83 #Subsume : 3307
% 22.54/12.83 #Demod : 1576
% 22.54/12.83 #Tautology : 1272
% 22.54/12.83 #SimpNegUnit : 1035
% 22.54/12.83 #BackRed : 0
% 22.54/12.83
% 22.54/12.83 #Partial instantiations: 0
% 22.54/12.83 #Strategies tried : 1
% 22.54/12.83
% 22.54/12.83 Timing (in seconds)
% 22.54/12.83 ----------------------
% 22.54/12.84 Preprocessing : 0.49
% 22.54/12.84 Parsing : 0.27
% 22.54/12.84 CNF conversion : 0.03
% 22.54/12.84 Main loop : 11.21
% 22.54/12.84 Inferencing : 3.00
% 22.54/12.84 Reduction : 1.18
% 22.54/12.84 Demodulation : 0.65
% 22.54/12.84 BG Simplification : 0.07
% 22.54/12.84 Subsumption : 6.57
% 22.54/12.84 Abstraction : 0.09
% 22.54/12.84 MUC search : 0.00
% 22.54/12.84 Cooper : 0.00
% 22.54/12.84 Total : 11.75
% 22.54/12.84 Index Insertion : 0.00
% 22.54/12.84 Index Deletion : 0.00
% 22.54/12.84 Index Matching : 0.00
% 22.54/12.84 BG Taut test : 0.00
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