TSTP Solution File: GEO190+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO190+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/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 : n024.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 10:38:32 EDT 2023
% Result : Theorem 5.79s 2.53s
% Output : CNFRefutation 6.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 55 ( 20 unt; 9 typ; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 82 ( 25 ~; 46 |; 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 : 55 (; 55 !; 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_54,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart1) ).
tff(f_146,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& distinct_points(X,Z)
& distinct_points(Y,Z)
& ~ apart_point_and_line(Z,line_connecting(X,Y)) )
=> ~ apart_point_and_line(Z,line_connecting(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_66,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart4) ).
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/GEO006+0.ax',ceq1) ).
tff(f_89,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci2) ).
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/GEO006+0.ax',ceq2) ).
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/GEO006+0.ax',cu1) ).
tff(f_84,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).
tff(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_38,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_46,plain,
! [Y_45,Z_46,X_47] :
( distinct_points(Y_45,Z_46)
| distinct_points(X_47,Z_46)
| ~ distinct_points(X_47,Y_45) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_55,plain,
! [Z_46] :
( distinct_points('#skF_2',Z_46)
| distinct_points('#skF_1',Z_46) ),
inference(resolution,[status(thm)],[c_38,c_46]) ).
tff(c_30,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_2','#skF_1')),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_105,plain,
! [Z_64,Y_65,X_66] :
( apart_point_and_line(Z_64,Y_65)
| distinct_points(X_66,Z_64)
| ~ apart_point_and_line(X_66,Y_65) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_109,plain,
! [Z_67] :
( apart_point_and_line(Z_67,line_connecting('#skF_2','#skF_1'))
| distinct_points('#skF_3',Z_67) ),
inference(resolution,[status(thm)],[c_30,c_105]) ).
tff(c_16,plain,
! [Y_16,X_15] :
( ~ apart_point_and_line(Y_16,line_connecting(X_15,Y_16))
| ~ distinct_points(X_15,Y_16) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_132,plain,
( ~ distinct_points('#skF_2','#skF_1')
| distinct_points('#skF_3','#skF_1') ),
inference(resolution,[status(thm)],[c_109,c_16]) ).
tff(c_137,plain,
~ distinct_points('#skF_2','#skF_1'),
inference(splitLeft,[status(thm)],[c_132]) ).
tff(c_144,plain,
distinct_points('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_55,c_137]) ).
tff(c_151,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_144]) ).
tff(c_153,plain,
distinct_points('#skF_2','#skF_1'),
inference(splitRight,[status(thm)],[c_132]) ).
tff(c_89,plain,
! [X_54,Z_55,Y_56] :
( apart_point_and_line(X_54,Z_55)
| distinct_lines(Y_56,Z_55)
| ~ apart_point_and_line(X_54,Y_56) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_92,plain,
! [Z_55] :
( apart_point_and_line('#skF_3',Z_55)
| distinct_lines(line_connecting('#skF_2','#skF_1'),Z_55) ),
inference(resolution,[status(thm)],[c_30,c_89]) ).
tff(c_325,plain,
! [Y_81,V_82,U_83,X_84] :
( apart_point_and_line(Y_81,V_82)
| apart_point_and_line(Y_81,U_83)
| apart_point_and_line(X_84,V_82)
| apart_point_and_line(X_84,U_83)
| ~ distinct_lines(U_83,V_82)
| ~ distinct_points(X_84,Y_81) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1597,plain,
! [Y_136,Z_137,X_138] :
( apart_point_and_line(Y_136,Z_137)
| apart_point_and_line(Y_136,line_connecting('#skF_2','#skF_1'))
| apart_point_and_line(X_138,Z_137)
| apart_point_and_line(X_138,line_connecting('#skF_2','#skF_1'))
| ~ distinct_points(X_138,Y_136)
| apart_point_and_line('#skF_3',Z_137) ),
inference(resolution,[status(thm)],[c_92,c_325]) ).
tff(c_1850,plain,
! [Z_137] :
( apart_point_and_line('#skF_2',Z_137)
| apart_point_and_line('#skF_2',line_connecting('#skF_2','#skF_1'))
| apart_point_and_line('#skF_1',Z_137)
| apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1'))
| apart_point_and_line('#skF_3',Z_137) ),
inference(resolution,[status(thm)],[c_38,c_1597]) ).
tff(c_2158,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1')),
inference(splitLeft,[status(thm)],[c_1850]) ).
tff(c_2165,plain,
~ distinct_points('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_2158,c_16]) ).
tff(c_2171,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_153,c_2165]) ).
tff(c_2172,plain,
! [Z_137] :
( apart_point_and_line('#skF_2',line_connecting('#skF_2','#skF_1'))
| apart_point_and_line('#skF_2',Z_137)
| apart_point_and_line('#skF_1',Z_137)
| apart_point_and_line('#skF_3',Z_137) ),
inference(splitRight,[status(thm)],[c_1850]) ).
tff(c_2722,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_2','#skF_1')),
inference(splitLeft,[status(thm)],[c_2172]) ).
tff(c_14,plain,
! [X_13,Y_14] :
( ~ apart_point_and_line(X_13,line_connecting(X_13,Y_14))
| ~ distinct_points(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_2729,plain,
~ distinct_points('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_2722,c_14]) ).
tff(c_2735,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_153,c_2729]) ).
tff(c_2748,plain,
! [Z_164] :
( apart_point_and_line('#skF_2',Z_164)
| apart_point_and_line('#skF_1',Z_164)
| apart_point_and_line('#skF_3',Z_164) ),
inference(splitRight,[status(thm)],[c_2172]) ).
tff(c_24,plain,
! [Z_27,Y_26,X_25] :
( apart_point_and_line(Z_27,Y_26)
| distinct_points(X_25,Z_27)
| ~ apart_point_and_line(X_25,Y_26) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_2788,plain,
! [Z_165,Z_166] :
( apart_point_and_line(Z_165,Z_166)
| distinct_points('#skF_2',Z_165)
| apart_point_and_line('#skF_1',Z_166)
| apart_point_and_line('#skF_3',Z_166) ),
inference(resolution,[status(thm)],[c_2748,c_24]) ).
tff(c_32,plain,
~ apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_2855,plain,
! [Z_165] :
( apart_point_and_line(Z_165,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_2',Z_165)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')) ),
inference(resolution,[status(thm)],[c_2788,c_32]) ).
tff(c_3210,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_2855]) ).
tff(c_3217,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_3210,c_14]) ).
tff(c_3223,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_3217]) ).
tff(c_3228,plain,
! [Z_179] :
( apart_point_and_line(Z_179,line_connecting('#skF_1','#skF_2'))
| distinct_points('#skF_2',Z_179) ),
inference(splitRight,[status(thm)],[c_2855]) ).
tff(c_3239,plain,
( ~ distinct_points('#skF_1','#skF_2')
| distinct_points('#skF_2','#skF_2') ),
inference(resolution,[status(thm)],[c_3228,c_16]) ).
tff(c_3261,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_3239]) ).
tff(c_3263,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_3261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO190+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.15 % 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 : n024.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 00:29:00 EDT 2023
% 0.14/0.36 % CPUTime :
% 5.79/2.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.79/2.54
% 5.79/2.54 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.10/2.57
% 6.10/2.57 Inference rules
% 6.10/2.57 ----------------------
% 6.10/2.57 #Ref : 0
% 6.10/2.57 #Sup : 438
% 6.10/2.57 #Fact : 170
% 6.10/2.57 #Define : 0
% 6.10/2.57 #Split : 4
% 6.10/2.57 #Chain : 0
% 6.10/2.57 #Close : 0
% 6.10/2.57
% 6.10/2.57 Ordering : KBO
% 6.10/2.57
% 6.10/2.57 Simplification rules
% 6.10/2.57 ----------------------
% 6.10/2.57 #Subsume : 181
% 6.10/2.57 #Demod : 165
% 6.10/2.57 #Tautology : 159
% 6.10/2.57 #SimpNegUnit : 65
% 6.10/2.57 #BackRed : 0
% 6.10/2.57
% 6.10/2.57 #Partial instantiations: 0
% 6.10/2.57 #Strategies tried : 1
% 6.10/2.57
% 6.10/2.57 Timing (in seconds)
% 6.10/2.57 ----------------------
% 6.10/2.57 Preprocessing : 0.48
% 6.10/2.57 Parsing : 0.26
% 6.10/2.57 CNF conversion : 0.03
% 6.10/2.57 Main loop : 0.93
% 6.10/2.57 Inferencing : 0.34
% 6.10/2.57 Reduction : 0.21
% 6.10/2.57 Demodulation : 0.13
% 6.10/2.57 BG Simplification : 0.03
% 6.10/2.57 Subsumption : 0.31
% 6.10/2.57 Abstraction : 0.03
% 6.10/2.57 MUC search : 0.00
% 6.10/2.57 Cooper : 0.00
% 6.10/2.57 Total : 1.47
% 6.10/2.57 Index Insertion : 0.00
% 6.10/2.57 Index Deletion : 0.00
% 6.10/2.57 Index Matching : 0.00
% 6.10/2.57 BG Taut test : 0.00
%------------------------------------------------------------------------------