TSTP Solution File: GEO182+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO182+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 : n029.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 10:38:29 EDT 2023
% Result : Theorem 5.58s 2.35s
% Output : CNFRefutation 5.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 54 ( 17 unt; 9 typ; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 80 ( 21 ~; 50 |; 1 &)
% ( 0 <=>; 8 =>; 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 : 60 (; 60 !; 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_140,negated_conjecture,
~ ! [X,Y,Z] :
( distinct_points(X,Y)
=> ( 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_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(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_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(c_2,plain,
! [X_1] : ~ distinct_points(X_1,X_1),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_34,plain,
distinct_points('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_45,plain,
! [Y_54,Z_55,X_56] :
( distinct_points(Y_54,Z_55)
| distinct_points(X_56,Z_55)
| ~ distinct_points(X_56,Y_54) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_49,plain,
! [Z_57] :
( distinct_points('#skF_2',Z_57)
| distinct_points('#skF_1',Z_57) ),
inference(resolution,[status(thm)],[c_34,c_45]) ).
tff(c_8,plain,
! [Y_5,Z_6,X_4] :
( distinct_points(Y_5,Z_6)
| distinct_points(X_4,Z_6)
| ~ distinct_points(X_4,Y_5) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_115,plain,
! [Z_62,Z_63] :
( distinct_points(Z_62,Z_63)
| distinct_points('#skF_2',Z_63)
| distinct_points('#skF_1',Z_62) ),
inference(resolution,[status(thm)],[c_49,c_8]) ).
tff(c_149,plain,
! [Z_65] :
( distinct_points(Z_65,'#skF_2')
| distinct_points('#skF_1',Z_65) ),
inference(resolution,[status(thm)],[c_115,c_2]) ).
tff(c_243,plain,
! [Z_75,Z_76] :
( distinct_points(Z_75,Z_76)
| distinct_points('#skF_1',Z_76)
| distinct_points(Z_75,'#skF_2') ),
inference(resolution,[status(thm)],[c_149,c_8]) ).
tff(c_268,plain,
! [Z_77] :
( distinct_points(Z_77,'#skF_1')
| distinct_points(Z_77,'#skF_2') ),
inference(resolution,[status(thm)],[c_243,c_2]) ).
tff(c_276,plain,
distinct_points('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_268,c_2]) ).
tff(c_32,plain,
apart_point_and_line('#skF_3',line_connecting('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_174,plain,
! [X_67,Z_68,Y_69] :
( apart_point_and_line(X_67,Z_68)
| distinct_lines(Y_69,Z_68)
| ~ apart_point_and_line(X_67,Y_69) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_182,plain,
! [Z_74] :
( apart_point_and_line('#skF_3',Z_74)
| distinct_lines(line_connecting('#skF_1','#skF_2'),Z_74) ),
inference(resolution,[status(thm)],[c_32,c_174]) ).
tff(c_22,plain,
! [Y_22,V_24,U_23,X_21] :
( apart_point_and_line(Y_22,V_24)
| apart_point_and_line(Y_22,U_23)
| apart_point_and_line(X_21,V_24)
| apart_point_and_line(X_21,U_23)
| ~ distinct_lines(U_23,V_24)
| ~ distinct_points(X_21,Y_22) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_1180,plain,
! [Y_117,Z_118,X_119] :
( apart_point_and_line(Y_117,Z_118)
| apart_point_and_line(Y_117,line_connecting('#skF_1','#skF_2'))
| apart_point_and_line(X_119,Z_118)
| apart_point_and_line(X_119,line_connecting('#skF_1','#skF_2'))
| ~ distinct_points(X_119,Y_117)
| apart_point_and_line('#skF_3',Z_118) ),
inference(resolution,[status(thm)],[c_182,c_22]) ).
tff(c_1370,plain,
! [Z_118] :
( apart_point_and_line('#skF_2',Z_118)
| apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_1',Z_118)
| apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_3',Z_118) ),
inference(resolution,[status(thm)],[c_34,c_1180]) ).
tff(c_1539,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_1370]) ).
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_1546,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_1539,c_14]) ).
tff(c_1552,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_1546]) ).
tff(c_1553,plain,
! [Z_118] :
( apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2'))
| apart_point_and_line('#skF_2',Z_118)
| apart_point_and_line('#skF_1',Z_118)
| apart_point_and_line('#skF_3',Z_118) ),
inference(splitRight,[status(thm)],[c_1370]) ).
tff(c_2181,plain,
apart_point_and_line('#skF_2',line_connecting('#skF_1','#skF_2')),
inference(splitLeft,[status(thm)],[c_1553]) ).
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_2188,plain,
~ distinct_points('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_2181,c_16]) ).
tff(c_2194,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_2188]) ).
tff(c_2207,plain,
! [Z_144] :
( apart_point_and_line('#skF_2',Z_144)
| apart_point_and_line('#skF_1',Z_144)
| apart_point_and_line('#skF_3',Z_144) ),
inference(splitRight,[status(thm)],[c_1553]) ).
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_2259,plain,
! [Z_147,Z_148] :
( apart_point_and_line(Z_147,Z_148)
| distinct_points('#skF_2',Z_147)
| apart_point_and_line('#skF_1',Z_148)
| apart_point_and_line('#skF_3',Z_148) ),
inference(resolution,[status(thm)],[c_2207,c_24]) ).
tff(c_30,plain,
~ apart_point_and_line('#skF_3',line_connecting('#skF_2','#skF_1')),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_2326,plain,
! [Z_147] :
( apart_point_and_line(Z_147,line_connecting('#skF_2','#skF_1'))
| distinct_points('#skF_2',Z_147)
| apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1')) ),
inference(resolution,[status(thm)],[c_2259,c_30]) ).
tff(c_2622,plain,
apart_point_and_line('#skF_1',line_connecting('#skF_2','#skF_1')),
inference(splitLeft,[status(thm)],[c_2326]) ).
tff(c_2629,plain,
~ distinct_points('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_2622,c_16]) ).
tff(c_2635,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_276,c_2629]) ).
tff(c_2640,plain,
! [Z_159] :
( apart_point_and_line(Z_159,line_connecting('#skF_2','#skF_1'))
| distinct_points('#skF_2',Z_159) ),
inference(splitRight,[status(thm)],[c_2326]) ).
tff(c_2651,plain,
( ~ distinct_points('#skF_2','#skF_1')
| distinct_points('#skF_2','#skF_2') ),
inference(resolution,[status(thm)],[c_2640,c_14]) ).
tff(c_2673,plain,
distinct_points('#skF_2','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_276,c_2651]) ).
tff(c_2675,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2,c_2673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO182+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.13 % 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 : n029.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 00:44:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 5.58/2.35 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.58/2.36
% 5.58/2.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.94/2.39
% 5.94/2.39 Inference rules
% 5.94/2.39 ----------------------
% 5.94/2.39 #Ref : 0
% 5.94/2.39 #Sup : 372
% 5.94/2.39 #Fact : 130
% 5.94/2.39 #Define : 0
% 5.94/2.39 #Split : 3
% 5.94/2.39 #Chain : 0
% 5.94/2.39 #Close : 0
% 5.94/2.39
% 5.94/2.39 Ordering : KBO
% 5.94/2.39
% 5.94/2.39 Simplification rules
% 5.94/2.39 ----------------------
% 5.94/2.39 #Subsume : 126
% 5.94/2.39 #Demod : 143
% 5.94/2.39 #Tautology : 135
% 5.94/2.39 #SimpNegUnit : 47
% 5.94/2.39 #BackRed : 0
% 5.94/2.39
% 5.94/2.39 #Partial instantiations: 0
% 5.94/2.39 #Strategies tried : 1
% 5.94/2.39
% 5.94/2.39 Timing (in seconds)
% 5.94/2.39 ----------------------
% 5.94/2.40 Preprocessing : 0.47
% 5.94/2.40 Parsing : 0.26
% 5.94/2.40 CNF conversion : 0.03
% 5.94/2.40 Main loop : 0.88
% 5.94/2.40 Inferencing : 0.32
% 5.94/2.40 Reduction : 0.20
% 5.94/2.40 Demodulation : 0.12
% 5.94/2.40 BG Simplification : 0.03
% 5.94/2.40 Subsumption : 0.29
% 5.94/2.40 Abstraction : 0.03
% 5.94/2.40 MUC search : 0.00
% 5.94/2.40 Cooper : 0.00
% 5.94/2.40 Total : 1.41
% 5.94/2.40 Index Insertion : 0.00
% 5.94/2.40 Index Deletion : 0.00
% 5.94/2.40 Index Matching : 0.00
% 5.94/2.40 BG Taut test : 0.00
%------------------------------------------------------------------------------