TSTP Solution File: GEO194+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO194+1 : 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 : n027.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 10:38:34 EDT 2023
% Result : Theorem 11.40s 3.91s
% Output : CNFRefutation 11.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 44 ( 15 unt; 9 typ; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 71 ( 19 ~; 42 |; 3 &)
% ( 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 : 45 (; 45 !; 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_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/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_60,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+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/sandbox/benchmark/Axioms/GEO006+0.ax',ceq1) ).
tff(f_131,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+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/GEO006+0.ax',cu1) ).
tff(f_99,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci4) ).
tff(f_94,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).
tff(c_34,plain,
convergent_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_38,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_32,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_3'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_67,plain,
! [Z_52,Y_53,X_54] :
( apart_point_and_line(Z_52,Y_53)
| distinct_points(X_54,Z_52)
| ~ apart_point_and_line(X_54,Y_53) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_70,plain,
! [Z_52] :
( apart_point_and_line(Z_52,'#skF_3')
| distinct_points(intersection_point('#skF_1','#skF_2'),Z_52) ),
inference(resolution,[status(thm)],[c_32,c_67]) ).
tff(c_191,plain,
! [X_65,Z_66,Y_67] :
( convergent_lines(X_65,Z_66)
| distinct_lines(Y_67,Z_66)
| ~ convergent_lines(X_65,Y_67) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_224,plain,
! [Z_66] :
( convergent_lines('#skF_1',Z_66)
| distinct_lines('#skF_2',Z_66) ),
inference(resolution,[status(thm)],[c_38,c_191]) ).
tff(c_302,plain,
! [Y_80,V_81,U_82,X_83] :
( apart_point_and_line(Y_80,V_81)
| apart_point_and_line(Y_80,U_82)
| apart_point_and_line(X_83,V_81)
| apart_point_and_line(X_83,U_82)
| ~ distinct_lines(U_82,V_81)
| ~ distinct_points(X_83,Y_80) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1804,plain,
! [Y_157,Z_158,X_159] :
( apart_point_and_line(Y_157,Z_158)
| apart_point_and_line(Y_157,'#skF_2')
| apart_point_and_line(X_159,Z_158)
| apart_point_and_line(X_159,'#skF_2')
| ~ distinct_points(X_159,Y_157)
| convergent_lines('#skF_1',Z_158) ),
inference(resolution,[status(thm)],[c_224,c_302]) ).
tff(c_1819,plain,
! [Z_52,Z_158] :
( apart_point_and_line(Z_52,Z_158)
| apart_point_and_line(Z_52,'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_158)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| convergent_lines('#skF_1',Z_158)
| apart_point_and_line(Z_52,'#skF_3') ),
inference(resolution,[status(thm)],[c_70,c_1804]) ).
tff(c_1941,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_1819]) ).
tff(c_20,plain,
! [X_19,Y_20] :
( ~ apart_point_and_line(intersection_point(X_19,Y_20),Y_20)
| ~ convergent_lines(X_19,Y_20) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_1948,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1941,c_20]) ).
tff(c_1954,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_1948]) ).
tff(c_12402,plain,
! [Z_581,Z_582] :
( apart_point_and_line(Z_581,Z_582)
| apart_point_and_line(Z_581,'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_582)
| convergent_lines('#skF_1',Z_582)
| apart_point_and_line(Z_581,'#skF_3') ),
inference(splitRight,[status(thm)],[c_1819]) ).
tff(c_18,plain,
! [X_17,Y_18] :
( ~ apart_point_and_line(intersection_point(X_17,Y_18),X_17)
| ~ convergent_lines(X_17,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_94]) ).
tff(c_12455,plain,
! [Z_581] :
( ~ convergent_lines('#skF_1','#skF_2')
| apart_point_and_line(Z_581,'#skF_1')
| apart_point_and_line(Z_581,'#skF_2')
| convergent_lines('#skF_1','#skF_1')
| apart_point_and_line(Z_581,'#skF_3') ),
inference(resolution,[status(thm)],[c_12402,c_18]) ).
tff(c_12483,plain,
! [Z_581] :
( apart_point_and_line(Z_581,'#skF_1')
| apart_point_and_line(Z_581,'#skF_2')
| convergent_lines('#skF_1','#skF_1')
| apart_point_and_line(Z_581,'#skF_3') ),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_12455]) ).
tff(c_12489,plain,
! [Z_583] :
( apart_point_and_line(Z_583,'#skF_1')
| apart_point_and_line(Z_583,'#skF_2')
| apart_point_and_line(Z_583,'#skF_3') ),
inference(negUnitSimplification,[status(thm)],[c_6,c_12483]) ).
tff(c_30,plain,
~ apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_12514,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_3') ),
inference(resolution,[status(thm)],[c_12489,c_30]) ).
tff(c_12515,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_3'),
inference(splitLeft,[status(thm)],[c_12514]) ).
tff(c_12522,plain,
~ convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_12515,c_20]) ).
tff(c_12528,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_12522]) ).
tff(c_12529,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_3'),'#skF_1'),
inference(splitRight,[status(thm)],[c_12514]) ).
tff(c_12537,plain,
~ convergent_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_12529,c_18]) ).
tff(c_12543,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_12537]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO194+1 : 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
% 0.12/0.35 % Computer : n027.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Fri Aug 4 01:02:24 EDT 2023
% 0.12/0.35 % CPUTime :
% 11.40/3.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.40/3.92
% 11.40/3.92 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.53/3.96
% 11.53/3.96 Inference rules
% 11.53/3.96 ----------------------
% 11.53/3.96 #Ref : 0
% 11.53/3.96 #Sup : 1850
% 11.53/3.96 #Fact : 634
% 11.53/3.96 #Define : 0
% 11.53/3.96 #Split : 3
% 11.53/3.96 #Chain : 0
% 11.53/3.96 #Close : 0
% 11.53/3.96
% 11.53/3.96 Ordering : KBO
% 11.53/3.96
% 11.53/3.96 Simplification rules
% 11.53/3.96 ----------------------
% 11.53/3.96 #Subsume : 743
% 11.53/3.96 #Demod : 462
% 11.53/3.96 #Tautology : 425
% 11.53/3.96 #SimpNegUnit : 248
% 11.53/3.96 #BackRed : 0
% 11.53/3.96
% 11.53/3.96 #Partial instantiations: 0
% 11.53/3.96 #Strategies tried : 1
% 11.53/3.96
% 11.53/3.96 Timing (in seconds)
% 11.53/3.96 ----------------------
% 11.53/3.96 Preprocessing : 0.48
% 11.53/3.96 Parsing : 0.26
% 11.53/3.96 CNF conversion : 0.03
% 11.53/3.96 Main loop : 2.34
% 11.53/3.96 Inferencing : 0.91
% 11.53/3.96 Reduction : 0.47
% 11.53/3.96 Demodulation : 0.28
% 11.53/3.96 BG Simplification : 0.05
% 11.53/3.96 Subsumption : 0.79
% 11.53/3.96 Abstraction : 0.05
% 11.53/3.96 MUC search : 0.00
% 11.53/3.96 Cooper : 0.00
% 11.53/3.96 Total : 2.88
% 11.53/3.96 Index Insertion : 0.00
% 11.53/3.96 Index Deletion : 0.00
% 11.53/3.96 Index Matching : 0.00
% 11.53/3.96 BG Taut test : 0.00
%------------------------------------------------------------------------------