TSTP Solution File: GEO195+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO195+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 : n008.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 10:38:35 EDT 2023
% Result : Theorem 9.95s 3.51s
% Output : CNFRefutation 10.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 62 ( 21 unt; 9 typ; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 103 ( 30 ~; 61 |; 3 &)
% ( 0 <=>; 9 =>; 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 : 77 (; 77 !; 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_142,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/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_82,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart6) ).
tff(f_64,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart3) ).
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/GEO008+0.ax',ceq1) ).
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_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(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/GEO008+0.ax',ceq2) ).
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_142]) ).
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_78,plain,
! [Z_41] :
( convergent_lines('#skF_2',Z_41)
| convergent_lines('#skF_1',Z_41) ),
inference(resolution,[status(thm)],[c_38,c_48]) ).
tff(c_12,plain,
! [Y_11,Z_12,X_10] :
( convergent_lines(Y_11,Z_12)
| convergent_lines(X_10,Z_12)
| ~ convergent_lines(X_10,Y_11) ),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_393,plain,
! [Z_81,Z_82] :
( convergent_lines(Z_81,Z_82)
| convergent_lines('#skF_2',Z_82)
| convergent_lines('#skF_1',Z_81) ),
inference(resolution,[status(thm)],[c_78,c_12]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_457,plain,
! [Z_85] :
( convergent_lines(Z_85,'#skF_2')
| convergent_lines('#skF_1',Z_85) ),
inference(resolution,[status(thm)],[c_393,c_6]) ).
tff(c_831,plain,
! [Z_107,Z_108] :
( convergent_lines(Z_107,Z_108)
| convergent_lines('#skF_1',Z_108)
| convergent_lines(Z_107,'#skF_2') ),
inference(resolution,[status(thm)],[c_457,c_12]) ).
tff(c_871,plain,
! [Z_112] :
( convergent_lines(Z_112,'#skF_1')
| convergent_lines(Z_112,'#skF_2') ),
inference(resolution,[status(thm)],[c_831,c_6]) ).
tff(c_882,plain,
convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_871,c_6]) ).
tff(c_32,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
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_1','#skF_2'),Z_45) ),
inference(resolution,[status(thm)],[c_32,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_1069,plain,
! [Y_124,V_125,U_126,X_127] :
( apart_point_and_line(Y_124,V_125)
| apart_point_and_line(Y_124,U_126)
| apart_point_and_line(X_127,V_125)
| apart_point_and_line(X_127,U_126)
| ~ distinct_lines(U_126,V_125)
| ~ distinct_points(X_127,Y_124) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_2059,plain,
! [Y_172,Y_173,X_174,X_175] :
( apart_point_and_line(Y_172,Y_173)
| apart_point_and_line(Y_172,X_174)
| apart_point_and_line(X_175,Y_173)
| apart_point_and_line(X_175,X_174)
| ~ distinct_points(X_175,Y_172)
| ~ convergent_lines(X_174,Y_173) ),
inference(resolution,[status(thm)],[c_28,c_1069]) ).
tff(c_3766,plain,
! [Z_251,Y_252,X_253] :
( apart_point_and_line(Z_251,Y_252)
| apart_point_and_line(Z_251,X_253)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Y_252)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),X_253)
| ~ convergent_lines(X_253,Y_252)
| apart_point_and_line(Z_251,'#skF_3') ),
inference(resolution,[status(thm)],[c_92,c_2059]) ).
tff(c_3944,plain,
! [Z_251] :
( apart_point_and_line(Z_251,'#skF_2')
| apart_point_and_line(Z_251,'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| apart_point_and_line(Z_251,'#skF_3') ),
inference(resolution,[status(thm)],[c_38,c_3766]) ).
tff(c_4046,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_3944]) ).
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_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
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_4053,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_4046,c_363]) ).
tff(c_4063,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_4053]) ).
tff(c_4064,plain,
! [Z_251] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| apart_point_and_line(Z_251,'#skF_2')
| apart_point_and_line(Z_251,'#skF_1')
| apart_point_and_line(Z_251,'#skF_3') ),
inference(splitRight,[status(thm)],[c_3944]) ).
tff(c_8542,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_4064]) ).
tff(c_568,plain,
! [Z_91,Y_92,X_93] :
( ~ apart_point_and_line(Z_91,Y_92)
| distinct_points(Z_91,intersection_point(X_93,Y_92))
| ~ convergent_lines(X_93,Y_92) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_576,plain,
! [X_93,Y_92] :
( ~ apart_point_and_line(intersection_point(X_93,Y_92),Y_92)
| ~ convergent_lines(X_93,Y_92) ),
inference(resolution,[status(thm)],[c_568,c_2]) ).
tff(c_8561,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_8542,c_576]) ).
tff(c_8587,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_8561]) ).
tff(c_8600,plain,
! [Z_425] :
( apart_point_and_line(Z_425,'#skF_2')
| apart_point_and_line(Z_425,'#skF_1')
| apart_point_and_line(Z_425,'#skF_3') ),
inference(splitRight,[status(thm)],[c_4064]) ).
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_9648,plain,
! [Z_462,Z_463] :
( apart_point_and_line(Z_462,Z_463)
| distinct_lines('#skF_2',Z_463)
| apart_point_and_line(Z_462,'#skF_1')
| apart_point_and_line(Z_462,'#skF_3') ),
inference(resolution,[status(thm)],[c_8600,c_26]) ).
tff(c_30,plain,
~ apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_9761,plain,
! [Z_463] :
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),Z_463)
| distinct_lines('#skF_2',Z_463)
| apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_1') ),
inference(resolution,[status(thm)],[c_9648,c_30]) ).
tff(c_9862,plain,
apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_9761]) ).
tff(c_9881,plain,
~ convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_9862,c_576]) ).
tff(c_9907,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_882,c_9881]) ).
tff(c_9912,plain,
! [Z_467] :
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),Z_467)
| distinct_lines('#skF_2',Z_467) ),
inference(splitRight,[status(thm)],[c_9761]) ).
tff(c_9943,plain,
( ~ convergent_lines('#skF_2','#skF_1')
| distinct_lines('#skF_2','#skF_2') ),
inference(resolution,[status(thm)],[c_9912,c_363]) ).
tff(c_9983,plain,
distinct_lines('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_882,c_9943]) ).
tff(c_9985,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_9983]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO195+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
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 4 00:23:04 EDT 2023
% 0.14/0.36 % CPUTime :
% 9.95/3.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.95/3.52
% 9.95/3.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.29/3.55
% 10.29/3.55 Inference rules
% 10.29/3.55 ----------------------
% 10.29/3.55 #Ref : 0
% 10.29/3.55 #Sup : 1761
% 10.29/3.55 #Fact : 408
% 10.29/3.55 #Define : 0
% 10.29/3.55 #Split : 3
% 10.29/3.55 #Chain : 0
% 10.29/3.55 #Close : 0
% 10.29/3.55
% 10.29/3.55 Ordering : KBO
% 10.29/3.55
% 10.29/3.55 Simplification rules
% 10.29/3.55 ----------------------
% 10.29/3.55 #Subsume : 441
% 10.29/3.55 #Demod : 378
% 10.29/3.55 #Tautology : 361
% 10.29/3.55 #SimpNegUnit : 168
% 10.29/3.55 #BackRed : 0
% 10.29/3.55
% 10.29/3.55 #Partial instantiations: 0
% 10.29/3.55 #Strategies tried : 1
% 10.29/3.55
% 10.29/3.55 Timing (in seconds)
% 10.29/3.55 ----------------------
% 10.29/3.55 Preprocessing : 0.49
% 10.29/3.55 Parsing : 0.27
% 10.29/3.55 CNF conversion : 0.03
% 10.29/3.55 Main loop : 1.93
% 10.29/3.55 Inferencing : 0.71
% 10.29/3.55 Reduction : 0.43
% 10.29/3.55 Demodulation : 0.25
% 10.29/3.55 BG Simplification : 0.05
% 10.29/3.55 Subsumption : 0.63
% 10.29/3.55 Abstraction : 0.05
% 10.29/3.55 MUC search : 0.00
% 10.29/3.55 Cooper : 0.00
% 10.29/3.55 Total : 2.48
% 10.29/3.55 Index Insertion : 0.00
% 10.29/3.55 Index Deletion : 0.00
% 10.29/3.55 Index Matching : 0.00
% 10.29/3.55 BG Taut test : 0.00
%------------------------------------------------------------------------------