TSTP Solution File: GEO199+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO199+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/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 : n022.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 10:38:36 EDT 2023
% Result : Theorem 11.46s 3.84s
% Output : CNFRefutation 11.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 64 ( 24 unt; 9 typ; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 106 ( 36 ~; 58 |; 4 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 74 (; 74 !; 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/sandbox/benchmark/Axioms/GEO008+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(Y,X),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_64,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart3) ).
tff(f_82,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart6) ).
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/sandbox/benchmark/Axioms/GEO008+0.ax',ceq2) ).
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/sandbox/benchmark/Axioms/GEO008+0.ax',con2) ).
tff(f_58,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
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/sandbox/benchmark/Axioms/GEO008+0.ax',ceq1) ).
tff(f_129,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+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/sandbox/benchmark/Axioms/GEO008+0.ax',cu1) ).
tff(c_4,plain,
! [X_2] : ~ distinct_lines(X_2,X_2),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_38,plain,
convergent_lines('#skF_1','#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_64]) ).
tff(c_48,plain,
! [Y_36,Z_37,X_38] :
( convergent_lines(Y_36,Z_37)
| convergent_lines(X_38,Z_37)
| ~ convergent_lines(X_38,Y_36) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_57,plain,
! [Z_37] :
( convergent_lines('#skF_2',Z_37)
| convergent_lines('#skF_1',Z_37) ),
inference(resolution,[status(thm)],[c_38,c_48]) ).
tff(c_30,plain,
apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_107,plain,
! [X_52,Z_53,Y_54] :
( apart_point_and_line(X_52,Z_53)
| distinct_lines(Y_54,Z_53)
| ~ apart_point_and_line(X_52,Y_54) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_110,plain,
! [Z_53] :
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),Z_53)
| distinct_lines('#skF_3',Z_53) ),
inference(resolution,[status(thm)],[c_30,c_107]) ).
tff(c_883,plain,
! [Z_111,Y_112,X_113] :
( ~ apart_point_and_line(Z_111,Y_112)
| distinct_points(Z_111,intersection_point(X_113,Y_112))
| ~ convergent_lines(X_113,Y_112) ),
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_892,plain,
! [X_114,Y_115] :
( ~ apart_point_and_line(intersection_point(X_114,Y_115),Y_115)
| ~ convergent_lines(X_114,Y_115) ),
inference(resolution,[status(thm)],[c_883,c_2]) ).
tff(c_897,plain,
( ~ convergent_lines('#skF_2','#skF_1')
| distinct_lines('#skF_3','#skF_1') ),
inference(resolution,[status(thm)],[c_110,c_892]) ).
tff(c_898,plain,
~ convergent_lines('#skF_2','#skF_1'),
inference(splitLeft,[status(thm)],[c_897]) ).
tff(c_912,plain,
convergent_lines('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_57,c_898]) ).
tff(c_923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6,c_912]) ).
tff(c_925,plain,
convergent_lines('#skF_2','#skF_1'),
inference(splitRight,[status(thm)],[c_897]) ).
tff(c_89,plain,
! [Z_45,Y_46,X_47] :
( apart_point_and_line(Z_45,Y_46)
| distinct_points(X_47,Z_45)
| ~ apart_point_and_line(X_47,Y_46) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_92,plain,
! [Z_45] :
( apart_point_and_line(Z_45,'#skF_3')
| distinct_points(intersection_point('#skF_2','#skF_1'),Z_45) ),
inference(resolution,[status(thm)],[c_30,c_89]) ).
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_1027,plain,
! [Y_121,V_122,U_123,X_124] :
( apart_point_and_line(Y_121,V_122)
| apart_point_and_line(Y_121,U_123)
| apart_point_and_line(X_124,V_122)
| apart_point_and_line(X_124,U_123)
| ~ distinct_lines(U_123,V_122)
| ~ distinct_points(X_124,Y_121) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1956,plain,
! [Y_168,Y_169,X_170,X_171] :
( apart_point_and_line(Y_168,Y_169)
| apart_point_and_line(Y_168,X_170)
| apart_point_and_line(X_171,Y_169)
| apart_point_and_line(X_171,X_170)
| ~ distinct_points(X_171,Y_168)
| ~ convergent_lines(X_170,Y_169) ),
inference(resolution,[status(thm)],[c_28,c_1027]) ).
tff(c_3701,plain,
! [Z_247,Y_248,X_249] :
( apart_point_and_line(Z_247,Y_248)
| apart_point_and_line(Z_247,X_249)
| apart_point_and_line(intersection_point('#skF_2','#skF_1'),Y_248)
| apart_point_and_line(intersection_point('#skF_2','#skF_1'),X_249)
| ~ convergent_lines(X_249,Y_248)
| apart_point_and_line(Z_247,'#skF_3') ),
inference(resolution,[status(thm)],[c_92,c_1956]) ).
tff(c_3879,plain,
! [Z_247] :
( apart_point_and_line(Z_247,'#skF_2')
| apart_point_and_line(Z_247,'#skF_1')
| apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_1')
| apart_point_and_line(Z_247,'#skF_3') ),
inference(resolution,[status(thm)],[c_38,c_3701]) ).
tff(c_3945,plain,
apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_3879]) ).
tff(c_891,plain,
! [X_113,Y_112] :
( ~ apart_point_and_line(intersection_point(X_113,Y_112),Y_112)
| ~ convergent_lines(X_113,Y_112) ),
inference(resolution,[status(thm)],[c_883,c_2]) ).
tff(c_3952,plain,
~ convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_3945,c_891]) ).
tff(c_3962,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_925,c_3952]) ).
tff(c_3963,plain,
! [Z_247] :
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_2')
| apart_point_and_line(Z_247,'#skF_2')
| apart_point_and_line(Z_247,'#skF_1')
| apart_point_and_line(Z_247,'#skF_3') ),
inference(splitRight,[status(thm)],[c_3879]) ).
tff(c_8375,plain,
apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_3963]) ).
tff(c_355,plain,
! [Z_76,X_77,Y_78] :
( ~ apart_point_and_line(Z_76,X_77)
| distinct_points(Z_76,intersection_point(X_77,Y_78))
| ~ convergent_lines(X_77,Y_78) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_363,plain,
! [X_77,Y_78] :
( ~ apart_point_and_line(intersection_point(X_77,Y_78),X_77)
| ~ convergent_lines(X_77,Y_78) ),
inference(resolution,[status(thm)],[c_355,c_2]) ).
tff(c_8394,plain,
~ convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_8375,c_363]) ).
tff(c_8420,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_925,c_8394]) ).
tff(c_8433,plain,
! [Z_418] :
( apart_point_and_line(Z_418,'#skF_2')
| apart_point_and_line(Z_418,'#skF_1')
| apart_point_and_line(Z_418,'#skF_3') ),
inference(splitRight,[status(thm)],[c_3963]) ).
tff(c_26,plain,
! [X_26,Z_28,Y_27] :
( apart_point_and_line(X_26,Z_28)
| distinct_lines(Y_27,Z_28)
| ~ apart_point_and_line(X_26,Y_27) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_8966,plain,
! [Z_437,Z_438] :
( apart_point_and_line(Z_437,Z_438)
| distinct_lines('#skF_2',Z_438)
| apart_point_and_line(Z_437,'#skF_1')
| apart_point_and_line(Z_437,'#skF_3') ),
inference(resolution,[status(thm)],[c_8433,c_26]) ).
tff(c_32,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_9079,plain,
! [Z_438] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_438)
| distinct_lines('#skF_2',Z_438)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1') ),
inference(resolution,[status(thm)],[c_8966,c_32]) ).
tff(c_9686,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_9079]) ).
tff(c_9705,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_9686,c_363]) ).
tff(c_9731,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_9705]) ).
tff(c_9736,plain,
! [Z_460] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_460)
| distinct_lines('#skF_2',Z_460) ),
inference(splitRight,[status(thm)],[c_9079]) ).
tff(c_9759,plain,
( ~ convergent_lines('#skF_1','#skF_2')
| distinct_lines('#skF_2','#skF_2') ),
inference(resolution,[status(thm)],[c_9736,c_891]) ).
tff(c_9803,plain,
distinct_lines('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_9759]) ).
tff(c_9805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_9803]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO199+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/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
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 4 00:25:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 11.46/3.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.46/3.85
% 11.46/3.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.46/3.88
% 11.46/3.88 Inference rules
% 11.46/3.88 ----------------------
% 11.46/3.88 #Ref : 0
% 11.46/3.88 #Sup : 1740
% 11.46/3.88 #Fact : 396
% 11.46/3.88 #Define : 0
% 11.46/3.88 #Split : 4
% 11.46/3.88 #Chain : 0
% 11.46/3.88 #Close : 0
% 11.46/3.88
% 11.46/3.88 Ordering : KBO
% 11.46/3.88
% 11.46/3.88 Simplification rules
% 11.46/3.88 ----------------------
% 11.46/3.88 #Subsume : 429
% 11.46/3.88 #Demod : 372
% 11.46/3.88 #Tautology : 358
% 11.46/3.88 #SimpNegUnit : 161
% 11.46/3.88 #BackRed : 0
% 11.46/3.88
% 11.46/3.88 #Partial instantiations: 0
% 11.46/3.88 #Strategies tried : 1
% 11.46/3.88
% 11.46/3.88 Timing (in seconds)
% 11.46/3.88 ----------------------
% 11.69/3.88 Preprocessing : 0.49
% 11.69/3.88 Parsing : 0.27
% 11.69/3.88 CNF conversion : 0.03
% 11.69/3.88 Main loop : 2.34
% 11.69/3.88 Inferencing : 0.84
% 11.69/3.88 Reduction : 0.48
% 11.69/3.88 Demodulation : 0.28
% 11.69/3.88 BG Simplification : 0.06
% 11.69/3.88 Subsumption : 0.82
% 11.69/3.88 Abstraction : 0.06
% 11.69/3.88 MUC search : 0.00
% 11.69/3.88 Cooper : 0.00
% 11.69/3.88 Total : 2.88
% 11.69/3.88 Index Insertion : 0.00
% 11.69/3.88 Index Deletion : 0.00
% 11.69/3.88 Index Matching : 0.00
% 11.69/3.88 BG Taut test : 0.00
%------------------------------------------------------------------------------