TSTP Solution File: GEO198+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO198+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 : n010.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 10.31s 3.70s
% Output : CNFRefutation 11.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 19 unt; 9 typ; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 28 ~; 49 |; 4 &)
% ( 0 <=>; 7 =>; 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 : 59 (; 59 !; 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_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(X,Z),Y) ),
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/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_144]) ).
tff(c_34,plain,
convergent_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_30,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
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_2')
| distinct_points(intersection_point('#skF_1','#skF_3'),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_1048,plain,
! [Y_120,V_121,U_122,X_123] :
( apart_point_and_line(Y_120,V_121)
| apart_point_and_line(Y_120,U_122)
| apart_point_and_line(X_123,V_121)
| apart_point_and_line(X_123,U_122)
| ~ distinct_lines(U_122,V_121)
| ~ distinct_points(X_123,Y_120) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_2066,plain,
! [Y_171,Y_172,X_173,X_174] :
( apart_point_and_line(Y_171,Y_172)
| apart_point_and_line(Y_171,X_173)
| apart_point_and_line(X_174,Y_172)
| apart_point_and_line(X_174,X_173)
| ~ distinct_points(X_174,Y_171)
| ~ convergent_lines(X_173,Y_172) ),
inference(resolution,[status(thm)],[c_28,c_1048]) ).
tff(c_3864,plain,
! [Z_253,Y_254,X_255] :
( apart_point_and_line(Z_253,Y_254)
| apart_point_and_line(Z_253,X_255)
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),Y_254)
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),X_255)
| ~ convergent_lines(X_255,Y_254)
| apart_point_and_line(Z_253,'#skF_2') ),
inference(resolution,[status(thm)],[c_92,c_2066]) ).
tff(c_4041,plain,
! [Z_253] :
( apart_point_and_line(Z_253,'#skF_3')
| apart_point_and_line(Z_253,'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_3')
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1')
| apart_point_and_line(Z_253,'#skF_2') ),
inference(resolution,[status(thm)],[c_34,c_3864]) ).
tff(c_4172,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_4041]) ).
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_4179,plain,
~ convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_4172,c_363]) ).
tff(c_4189,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_4179]) ).
tff(c_4190,plain,
! [Z_253] :
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_3')
| apart_point_and_line(Z_253,'#skF_3')
| apart_point_and_line(Z_253,'#skF_1')
| apart_point_and_line(Z_253,'#skF_2') ),
inference(splitRight,[status(thm)],[c_4041]) ).
tff(c_8628,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_3'),
inference(splitLeft,[status(thm)],[c_4190]) ).
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_8647,plain,
~ convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_8628,c_576]) ).
tff(c_8673,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_8647]) ).
tff(c_8686,plain,
! [Z_429] :
( apart_point_and_line(Z_429,'#skF_3')
| apart_point_and_line(Z_429,'#skF_1')
| apart_point_and_line(Z_429,'#skF_2') ),
inference(splitRight,[status(thm)],[c_4190]) ).
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_9018,plain,
! [Z_440,Z_441] :
( apart_point_and_line(Z_440,Z_441)
| distinct_lines('#skF_2',Z_441)
| apart_point_and_line(Z_440,'#skF_3')
| apart_point_and_line(Z_440,'#skF_1') ),
inference(resolution,[status(thm)],[c_8686,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_9131,plain,
! [Z_441] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_441)
| distinct_lines('#skF_2',Z_441)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1') ),
inference(resolution,[status(thm)],[c_9018,c_32]) ).
tff(c_9144,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(splitLeft,[status(thm)],[c_9131]) ).
tff(c_9163,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_9144,c_363]) ).
tff(c_9189,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_9163]) ).
tff(c_9194,plain,
! [Z_444] :
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_444)
| distinct_lines('#skF_2',Z_444) ),
inference(splitRight,[status(thm)],[c_9131]) ).
tff(c_9221,plain,
( ~ convergent_lines('#skF_1','#skF_2')
| distinct_lines('#skF_2','#skF_2') ),
inference(resolution,[status(thm)],[c_9194,c_576]) ).
tff(c_9262,plain,
distinct_lines('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_9221]) ).
tff(c_9264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_9262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO198+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 : n010.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
% 0.14/0.35 % DateTime : Fri Aug 4 00:23:13 EDT 2023
% 0.14/0.36 % CPUTime :
% 10.31/3.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.31/3.71
% 10.31/3.71 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.15/3.74
% 11.15/3.74 Inference rules
% 11.15/3.74 ----------------------
% 11.15/3.74 #Ref : 0
% 11.15/3.74 #Sup : 1677
% 11.15/3.74 #Fact : 360
% 11.15/3.74 #Define : 0
% 11.15/3.74 #Split : 3
% 11.15/3.74 #Chain : 0
% 11.15/3.74 #Close : 0
% 11.15/3.74
% 11.15/3.74 Ordering : KBO
% 11.15/3.74
% 11.15/3.74 Simplification rules
% 11.15/3.74 ----------------------
% 11.15/3.74 #Subsume : 382
% 11.15/3.74 #Demod : 366
% 11.15/3.74 #Tautology : 350
% 11.15/3.74 #SimpNegUnit : 138
% 11.15/3.74 #BackRed : 0
% 11.15/3.74
% 11.15/3.74 #Partial instantiations: 0
% 11.15/3.74 #Strategies tried : 1
% 11.15/3.74
% 11.15/3.74 Timing (in seconds)
% 11.15/3.74 ----------------------
% 11.15/3.74 Preprocessing : 0.48
% 11.15/3.74 Parsing : 0.26
% 11.15/3.74 CNF conversion : 0.03
% 11.15/3.74 Main loop : 2.13
% 11.15/3.74 Inferencing : 0.76
% 11.15/3.74 Reduction : 0.49
% 11.15/3.74 Demodulation : 0.29
% 11.15/3.75 BG Simplification : 0.05
% 11.15/3.75 Subsumption : 0.71
% 11.15/3.75 Abstraction : 0.06
% 11.15/3.75 MUC search : 0.00
% 11.15/3.75 Cooper : 0.00
% 11.15/3.75 Total : 2.66
% 11.15/3.75 Index Insertion : 0.00
% 11.15/3.75 Index Deletion : 0.00
% 11.15/3.75 Index Matching : 0.00
% 11.15/3.75 BG Taut test : 0.00
%------------------------------------------------------------------------------