TSTP Solution File: GEO208+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO208+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 : n003.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 10:38:40 EDT 2023
% Result : Theorem 3.76s 1.98s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 21 ( 6 unt; 10 typ; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 21 ( 9 ~; 8 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 7 >; 7 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 11 (; 11 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > parallel_through_point > 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(parallel_through_point,type,
parallel_through_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_183,negated_conjecture,
~ ! [X,Y,Z] :
( ( ~ apart_point_and_line(X,Y)
& ~ apart_point_and_line(X,Z)
& ~ convergent_lines(Y,Z) )
=> ~ distinct_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_168,axiom,
! [X,Y,Z] :
( distinct_lines(Y,Z)
=> ( apart_point_and_line(X,Y)
| apart_point_and_line(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cup1) ).
tff(c_40,plain,
~ apart_point_and_line('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_38,plain,
~ convergent_lines('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_36,plain,
distinct_lines('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_548,plain,
! [Y_100,Z_101,X_102] :
( convergent_lines(Y_100,Z_101)
| apart_point_and_line(X_102,Z_101)
| apart_point_and_line(X_102,Y_100)
| ~ distinct_lines(Y_100,Z_101) ),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_604,plain,
! [X_102] :
( convergent_lines('#skF_2','#skF_3')
| apart_point_and_line(X_102,'#skF_3')
| apart_point_and_line(X_102,'#skF_2') ),
inference(resolution,[status(thm)],[c_36,c_548]) ).
tff(c_720,plain,
! [X_107] :
( apart_point_and_line(X_107,'#skF_3')
| apart_point_and_line(X_107,'#skF_2') ),
inference(negUnitSimplification,[status(thm)],[c_38,c_604]) ).
tff(c_42,plain,
~ apart_point_and_line('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_735,plain,
apart_point_and_line('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_720,c_42]) ).
tff(c_743,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40,c_735]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO208+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % 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 : n003.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 00:35:08 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.76/1.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.76/1.99
% 3.76/1.99 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.76/2.01
% 3.76/2.01 Inference rules
% 3.76/2.01 ----------------------
% 3.76/2.01 #Ref : 0
% 3.76/2.01 #Sup : 118
% 3.76/2.01 #Fact : 28
% 3.76/2.01 #Define : 0
% 3.76/2.01 #Split : 0
% 3.76/2.01 #Chain : 0
% 3.76/2.01 #Close : 0
% 3.76/2.01
% 3.76/2.01 Ordering : KBO
% 3.76/2.01
% 3.76/2.01 Simplification rules
% 3.76/2.01 ----------------------
% 3.76/2.01 #Subsume : 21
% 3.76/2.01 #Demod : 27
% 3.76/2.01 #Tautology : 28
% 3.76/2.01 #SimpNegUnit : 10
% 3.76/2.01 #BackRed : 0
% 3.76/2.01
% 3.76/2.01 #Partial instantiations: 0
% 3.76/2.01 #Strategies tried : 1
% 3.76/2.01
% 3.76/2.01 Timing (in seconds)
% 3.76/2.01 ----------------------
% 3.76/2.02 Preprocessing : 0.48
% 3.76/2.02 Parsing : 0.27
% 3.76/2.02 CNF conversion : 0.03
% 3.76/2.02 Main loop : 0.46
% 3.76/2.02 Inferencing : 0.18
% 3.76/2.02 Reduction : 0.10
% 3.76/2.02 Demodulation : 0.06
% 3.76/2.02 BG Simplification : 0.03
% 3.76/2.02 Subsumption : 0.12
% 3.76/2.02 Abstraction : 0.02
% 3.76/2.02 MUC search : 0.00
% 3.76/2.02 Cooper : 0.00
% 3.76/2.02 Total : 0.99
% 3.76/2.02 Index Insertion : 0.00
% 3.76/2.02 Index Deletion : 0.00
% 3.76/2.02 Index Matching : 0.00
% 3.76/2.02 BG Taut test : 0.00
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