TSTP Solution File: GEO258+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 : n005.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 10:38:55 EDT 2023
% Result : Theorem 5.08s 2.30s
% Output : CNFRefutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 22
% Syntax : Number of formulae : 47 ( 11 unt; 20 typ; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 46 ( 20 ~; 22 |; 2 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 16 >; 17 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 36 (; 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ between_on_line > divides_points > before_on_line > unequally_directed_lines > left_convergent_lines > left_apart_point > distinct_points > distinct_lines > convergent_lines > apart_point_and_line > point > line > parallel_through_point > line_connecting > intersection_point > #nlpp > reverse_line > #skF_2 > #skF_3 > #skF_1 > #skF_4
%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(point,type,
point: $i > $o ).
tff(reverse_line,type,
reverse_line: $i > $i ).
tff(line,type,
line: $i > $o ).
tff(between_on_line,type,
between_on_line: ( $i * $i * $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(left_convergent_lines,type,
left_convergent_lines: ( $i * $i ) > $o ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(before_on_line,type,
before_on_line: ( $i * $i * $i ) > $o ).
tff(divides_points,type,
divides_points: ( $i * $i * $i ) > $o ).
tff(left_apart_point,type,
left_apart_point: ( $i * $i ) > $o ).
tff(unequally_directed_lines,type,
unequally_directed_lines: ( $i * $i ) > $o ).
tff(f_282,negated_conjecture,
~ ! [L,A,B,C] :
( between_on_line(L,A,B,C)
=> between_on_line(L,C,B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f_100,axiom,
! [L,A,B,C] :
( between_on_line(L,A,B,C)
<=> ( ( before_on_line(L,A,B)
& before_on_line(L,B,C) )
| ( before_on_line(L,C,B)
& before_on_line(L,B,A) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',bet_def) ).
tff(c_120,plain,
between_on_line('#skF_1','#skF_2','#skF_3','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_282]) ).
tff(c_391,plain,
! [L_169,A_170,B_171,C_172] :
( before_on_line(L_169,A_170,B_171)
| before_on_line(L_169,B_171,A_170)
| ~ between_on_line(L_169,A_170,B_171,C_172) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_395,plain,
( before_on_line('#skF_1','#skF_2','#skF_3')
| before_on_line('#skF_1','#skF_3','#skF_2') ),
inference(resolution,[status(thm)],[c_120,c_391]) ).
tff(c_396,plain,
before_on_line('#skF_1','#skF_3','#skF_2'),
inference(splitLeft,[status(thm)],[c_395]) ).
tff(c_918,plain,
! [L_200,B_201,C_202,A_203] :
( ~ before_on_line(L_200,B_201,C_202)
| ~ before_on_line(L_200,A_203,B_201)
| between_on_line(L_200,A_203,B_201,C_202) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_118,plain,
~ between_on_line('#skF_1','#skF_4','#skF_3','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_282]) ).
tff(c_927,plain,
( ~ before_on_line('#skF_1','#skF_3','#skF_2')
| ~ before_on_line('#skF_1','#skF_4','#skF_3') ),
inference(resolution,[status(thm)],[c_918,c_118]) ).
tff(c_932,plain,
~ before_on_line('#skF_1','#skF_4','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_396,c_927]) ).
tff(c_1104,plain,
! [L_215,A_216,B_217,C_218] :
( before_on_line(L_215,A_216,B_217)
| before_on_line(L_215,C_218,B_217)
| ~ between_on_line(L_215,A_216,B_217,C_218) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_1110,plain,
( before_on_line('#skF_1','#skF_2','#skF_3')
| before_on_line('#skF_1','#skF_4','#skF_3') ),
inference(resolution,[status(thm)],[c_120,c_1104]) ).
tff(c_1114,plain,
before_on_line('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_932,c_1110]) ).
tff(c_1308,plain,
! [L_230,B_231,C_232,A_233] :
( before_on_line(L_230,B_231,C_232)
| before_on_line(L_230,C_232,B_231)
| ~ between_on_line(L_230,A_233,B_231,C_232) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_1314,plain,
( before_on_line('#skF_1','#skF_3','#skF_4')
| before_on_line('#skF_1','#skF_4','#skF_3') ),
inference(resolution,[status(thm)],[c_120,c_1308]) ).
tff(c_1318,plain,
before_on_line('#skF_1','#skF_3','#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_932,c_1314]) ).
tff(c_1516,plain,
! [L_243,B_244,A_245,C_246] :
( ~ before_on_line(L_243,B_244,A_245)
| ~ before_on_line(L_243,C_246,B_244)
| between_on_line(L_243,A_245,B_244,C_246) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_1531,plain,
( ~ before_on_line('#skF_1','#skF_3','#skF_4')
| ~ before_on_line('#skF_1','#skF_2','#skF_3') ),
inference(resolution,[status(thm)],[c_1516,c_118]) ).
tff(c_1539,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1114,c_1318,c_1531]) ).
tff(c_1540,plain,
before_on_line('#skF_1','#skF_2','#skF_3'),
inference(splitRight,[status(thm)],[c_395]) ).
tff(c_1541,plain,
~ before_on_line('#skF_1','#skF_3','#skF_2'),
inference(splitRight,[status(thm)],[c_395]) ).
tff(c_1729,plain,
! [L_255,B_256,C_257,A_258] :
( before_on_line(L_255,B_256,C_257)
| before_on_line(L_255,B_256,A_258)
| ~ between_on_line(L_255,A_258,B_256,C_257) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_1732,plain,
( before_on_line('#skF_1','#skF_3','#skF_4')
| before_on_line('#skF_1','#skF_3','#skF_2') ),
inference(resolution,[status(thm)],[c_120,c_1729]) ).
tff(c_1735,plain,
before_on_line('#skF_1','#skF_3','#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_1541,c_1732]) ).
tff(c_1933,plain,
! [L_268,B_269,A_270,C_271] :
( ~ before_on_line(L_268,B_269,A_270)
| ~ before_on_line(L_268,C_271,B_269)
| between_on_line(L_268,A_270,B_269,C_271) ),
inference(cnfTransformation,[status(thm)],[f_100]) ).
tff(c_1942,plain,
( ~ before_on_line('#skF_1','#skF_3','#skF_4')
| ~ before_on_line('#skF_1','#skF_2','#skF_3') ),
inference(resolution,[status(thm)],[c_1933,c_118]) ).
tff(c_1948,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1540,c_1735,c_1942]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.00/0.14 % 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
% 0.18/0.36 % Computer : n005.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Fri Aug 4 00:31:26 EDT 2023
% 0.18/0.36 % CPUTime :
% 5.08/2.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.08/2.31
% 5.08/2.31 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.37/2.34
% 5.37/2.34 Inference rules
% 5.37/2.34 ----------------------
% 5.37/2.34 #Ref : 0
% 5.37/2.34 #Sup : 252
% 5.37/2.34 #Fact : 74
% 5.37/2.34 #Define : 0
% 5.37/2.34 #Split : 2
% 5.37/2.34 #Chain : 0
% 5.37/2.34 #Close : 0
% 5.37/2.34
% 5.37/2.34 Ordering : KBO
% 5.37/2.34
% 5.37/2.34 Simplification rules
% 5.37/2.34 ----------------------
% 5.37/2.34 #Subsume : 134
% 5.37/2.34 #Demod : 73
% 5.37/2.34 #Tautology : 84
% 5.37/2.34 #SimpNegUnit : 37
% 5.37/2.34 #BackRed : 1
% 5.37/2.34
% 5.37/2.34 #Partial instantiations: 0
% 5.37/2.34 #Strategies tried : 1
% 5.37/2.34
% 5.37/2.34 Timing (in seconds)
% 5.37/2.34 ----------------------
% 5.37/2.34 Preprocessing : 0.57
% 5.37/2.34 Parsing : 0.32
% 5.37/2.34 CNF conversion : 0.04
% 5.37/2.34 Main loop : 0.63
% 5.37/2.34 Inferencing : 0.25
% 5.37/2.34 Reduction : 0.15
% 5.37/2.34 Demodulation : 0.09
% 5.37/2.34 BG Simplification : 0.03
% 5.37/2.34 Subsumption : 0.16
% 5.37/2.34 Abstraction : 0.02
% 5.37/2.35 MUC search : 0.00
% 5.37/2.35 Cooper : 0.00
% 5.37/2.35 Total : 1.25
% 5.37/2.35 Index Insertion : 0.00
% 5.37/2.35 Index Deletion : 0.00
% 5.37/2.35 Index Matching : 0.00
% 5.37/2.35 BG Taut test : 0.00
%------------------------------------------------------------------------------