TSTP Solution File: GEO170+2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO170+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 : n009.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 10:38:24 EDT 2023
% Result : Theorem 3.99s 2.04s
% Output : CNFRefutation 4.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 32 ( 12 unt; 9 typ; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 47 ( 17 ~; 22 |; 4 &)
% ( 0 <=>; 4 =>; 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 : 24 (; 24 !; 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_points(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',apart1) ).
tff(f_142,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& ~ apart_point_and_line(X,Z)
& ~ apart_point_and_line(Y,Z) )
=> ~ distinct_lines(Z,line_connecting(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_111,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(f_90,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( apart_point_and_line(Z,line_connecting(X,Y))
=> ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',con1) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_36,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_34,plain,
~ apart_point_and_line('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_32,plain,
~ apart_point_and_line('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_30,plain,
distinct_lines('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_628,plain,
! [Y_93,V_94,U_95,X_96] :
( apart_point_and_line(Y_93,V_94)
| apart_point_and_line(Y_93,U_95)
| apart_point_and_line(X_96,V_94)
| apart_point_and_line(X_96,U_95)
| ~ distinct_lines(U_95,V_94)
| ~ distinct_points(X_96,Y_93) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_828,plain,
! [Y_104,X_105] :
( apart_point_and_line(Y_104,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(Y_104,'#skF_3')
| apart_point_and_line(X_105,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_105,'#skF_3')
| ~ distinct_points(X_105,Y_104) ),
inference(resolution,[status(thm)],[c_30,c_628]) ).
tff(c_894,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2','#skF_3')
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1','#skF_3') ),
inference(resolution,[status(thm)],[c_36,c_828]) ).
tff(c_971,plain,
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_34,c_32,c_894]) ).
tff(c_972,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_971]) ).
tff(c_16,plain,
! [Z_15,X_13,Y_14] :
( distinct_points(Z_15,X_13)
| ~ apart_point_and_line(Z_15,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_975,plain,
( distinct_points('#skF_1','#skF_1')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_972,c_16]) ).
tff(c_985,plain,
distinct_points('#skF_1','#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_975]) ).
tff(c_987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_985]) ).
tff(c_988,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitRight,[status(thm)],[c_971]) ).
tff(c_14,plain,
! [Z_15,Y_14,X_13] :
( distinct_points(Z_15,Y_14)
| ~ apart_point_and_line(Z_15,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_995,plain,
( distinct_points('#skF_2','#skF_2')
| ~ distinct_points('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_988,c_14]) ).
tff(c_1005,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_36,c_995]) ).
tff(c_1007,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_1005]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO170+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % 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
% 0.14/0.35 % Computer : n009.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 00:13:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.99/2.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.99/2.05
% 3.99/2.05 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.44/2.08
% 4.44/2.08 Inference rules
% 4.44/2.08 ----------------------
% 4.44/2.08 #Ref : 0
% 4.44/2.08 #Sup : 135
% 4.44/2.08 #Fact : 44
% 4.44/2.08 #Define : 0
% 4.44/2.08 #Split : 1
% 4.44/2.08 #Chain : 0
% 4.44/2.08 #Close : 0
% 4.44/2.08
% 4.44/2.08 Ordering : KBO
% 4.44/2.08
% 4.44/2.08 Simplification rules
% 4.44/2.08 ----------------------
% 4.44/2.08 #Subsume : 34
% 4.44/2.08 #Demod : 45
% 4.44/2.08 #Tautology : 42
% 4.44/2.08 #SimpNegUnit : 40
% 4.44/2.08 #BackRed : 0
% 4.44/2.08
% 4.44/2.08 #Partial instantiations: 0
% 4.44/2.08 #Strategies tried : 1
% 4.44/2.08
% 4.44/2.08 Timing (in seconds)
% 4.44/2.08 ----------------------
% 4.44/2.08 Preprocessing : 0.48
% 4.44/2.08 Parsing : 0.27
% 4.44/2.08 CNF conversion : 0.03
% 4.44/2.08 Main loop : 0.51
% 4.44/2.08 Inferencing : 0.20
% 4.44/2.08 Reduction : 0.12
% 4.44/2.08 Demodulation : 0.07
% 4.44/2.08 BG Simplification : 0.02
% 4.44/2.08 Subsumption : 0.13
% 4.44/2.08 Abstraction : 0.02
% 4.44/2.08 MUC search : 0.00
% 4.44/2.08 Cooper : 0.00
% 4.44/2.08 Total : 1.04
% 4.44/2.08 Index Insertion : 0.00
% 4.44/2.08 Index Deletion : 0.00
% 4.44/2.08 Index Matching : 0.00
% 4.44/2.08 BG Taut test : 0.00
%------------------------------------------------------------------------------