TSTP Solution File: GEO269+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO269+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : n028.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 10:38:57 EDT 2023
% Result : Theorem 3.78s 1.95s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 31
% Syntax : Number of formulae : 49 ( 9 unt; 23 typ; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 18 ~; 16 |; 1 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 22 >; 23 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 39 (; 39 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ between_on_line > divides_points > before_on_line > unequally_directed_opposite_lines > unequally_directed_lines > right_convergent_lines > right_apart_point > left_convergent_lines > left_apart_point > incident_point_and_line > equally_directed_opposite_lines > equally_directed_lines > distinct_points > distinct_lines > convergent_lines > apart_point_and_line > point > line > parallel_through_point > line_connecting > intersection_point > #nlpp > reverse_line > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(line_connecting,type,
line_connecting: ( $i * $i ) > $i ).
tff(incident_point_and_line,type,
incident_point_and_line: ( $i * $i ) > $o ).
tff(distinct_points,type,
distinct_points: ( $i * $i ) > $o ).
tff(unequally_directed_opposite_lines,type,
unequally_directed_opposite_lines: ( $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(equally_directed_opposite_lines,type,
equally_directed_opposite_lines: ( $i * $i ) > $o ).
tff(right_apart_point,type,
right_apart_point: ( $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(equally_directed_lines,type,
equally_directed_lines: ( $i * $i ) > $o ).
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(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(right_convergent_lines,type,
right_convergent_lines: ( $i * $i ) > $o ).
tff(f_133,axiom,
! [L] : equally_directed_lines(L,L),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax5_basics) ).
tff(f_66,axiom,
! [X,Y] :
( equally_directed_lines(X,Y)
<=> ~ unequally_directed_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a4_defns) ).
tff(f_71,axiom,
! [X,Y] :
( equally_directed_opposite_lines(X,Y)
<=> ~ unequally_directed_opposite_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a5_defns) ).
tff(f_53,axiom,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
tff(f_173,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax11_basics) ).
tff(f_163,axiom,
! [L,M] :
( ( unequally_directed_lines(L,M)
& unequally_directed_lines(L,reverse_line(M)) )
=> ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax9_basics) ).
tff(f_284,negated_conjecture,
~ ! [L] : equally_directed_opposite_lines(L,reverse_line(L)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_155,axiom,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).
tff(c_76,plain,
! [L_33] : equally_directed_lines(L_33,L_33),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_16,plain,
! [X_7,Y_8] :
( equally_directed_lines(X_7,Y_8)
| unequally_directed_lines(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_20,plain,
! [X_9,Y_10] :
( equally_directed_opposite_lines(X_9,Y_10)
| unequally_directed_opposite_lines(X_9,Y_10) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_258,plain,
! [X_144,Y_145] :
( unequally_directed_lines(X_144,reverse_line(Y_145))
| ~ unequally_directed_opposite_lines(X_144,Y_145) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_96,plain,
! [L_46,M_47] : ~ left_convergent_lines(L_46,M_47),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_90,plain,
! [L_42,M_43] :
( left_convergent_lines(L_42,reverse_line(M_43))
| left_convergent_lines(L_42,M_43)
| ~ unequally_directed_lines(L_42,reverse_line(M_43))
| ~ unequally_directed_lines(L_42,M_43) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_142,plain,
! [L_42,M_43] :
( ~ unequally_directed_lines(L_42,reverse_line(M_43))
| ~ unequally_directed_lines(L_42,M_43) ),
inference(negUnitSimplification,[status(thm)],[c_96,c_96,c_90]) ).
tff(c_272,plain,
! [X_148,Y_149] :
( ~ unequally_directed_lines(X_148,Y_149)
| ~ unequally_directed_opposite_lines(X_148,Y_149) ),
inference(resolution,[status(thm)],[c_258,c_142]) ).
tff(c_307,plain,
! [X_154,Y_155] :
( ~ unequally_directed_lines(X_154,Y_155)
| equally_directed_opposite_lines(X_154,Y_155) ),
inference(resolution,[status(thm)],[c_20,c_272]) ).
tff(c_324,plain,
! [X_156,Y_157] :
( equally_directed_opposite_lines(X_156,Y_157)
| equally_directed_lines(X_156,Y_157) ),
inference(resolution,[status(thm)],[c_16,c_307]) ).
tff(c_134,plain,
~ equally_directed_opposite_lines('#skF_1',reverse_line('#skF_1')),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_332,plain,
equally_directed_lines('#skF_1',reverse_line('#skF_1')),
inference(resolution,[status(thm)],[c_324,c_134]) ).
tff(c_199,plain,
! [L_126,M_127] :
( unequally_directed_lines(L_126,reverse_line(M_127))
| unequally_directed_lines(L_126,M_127) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_14,plain,
! [X_7,Y_8] :
( ~ unequally_directed_lines(X_7,Y_8)
| ~ equally_directed_lines(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_333,plain,
! [L_158,M_159] :
( ~ equally_directed_lines(L_158,reverse_line(M_159))
| unequally_directed_lines(L_158,M_159) ),
inference(resolution,[status(thm)],[c_199,c_14]) ).
tff(c_345,plain,
unequally_directed_lines('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_332,c_333]) ).
tff(c_354,plain,
~ equally_directed_lines('#skF_1','#skF_1'),
inference(resolution,[status(thm)],[c_345,c_14]) ).
tff(c_359,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_76,c_354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO269+3 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 00:33:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.78/1.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.78/1.96
% 3.78/1.96 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.07/1.99
% 4.07/1.99 Inference rules
% 4.07/1.99 ----------------------
% 4.07/1.99 #Ref : 0
% 4.07/1.99 #Sup : 39
% 4.07/1.99 #Fact : 0
% 4.07/1.99 #Define : 0
% 4.07/1.99 #Split : 1
% 4.07/1.99 #Chain : 0
% 4.07/1.99 #Close : 0
% 4.07/1.99
% 4.07/1.99 Ordering : KBO
% 4.07/1.99
% 4.07/1.99 Simplification rules
% 4.07/1.99 ----------------------
% 4.07/1.99 #Subsume : 39
% 4.07/1.99 #Demod : 1
% 4.07/1.99 #Tautology : 7
% 4.07/1.99 #SimpNegUnit : 17
% 4.07/1.99 #BackRed : 0
% 4.07/1.99
% 4.07/1.99 #Partial instantiations: 0
% 4.07/1.99 #Strategies tried : 1
% 4.07/1.99
% 4.07/1.99 Timing (in seconds)
% 4.07/1.99 ----------------------
% 4.07/1.99 Preprocessing : 0.58
% 4.07/1.99 Parsing : 0.31
% 4.07/1.99 CNF conversion : 0.05
% 4.07/1.99 Main loop : 0.35
% 4.07/1.99 Inferencing : 0.13
% 4.07/1.99 Reduction : 0.09
% 4.07/1.99 Demodulation : 0.06
% 4.07/1.99 BG Simplification : 0.03
% 4.07/1.99 Subsumption : 0.09
% 4.07/1.99 Abstraction : 0.01
% 4.07/1.99 MUC search : 0.00
% 4.07/1.99 Cooper : 0.00
% 4.07/1.99 Total : 0.97
% 4.07/1.99 Index Insertion : 0.00
% 4.07/1.99 Index Deletion : 0.00
% 4.07/1.99 Index Matching : 0.00
% 4.07/1.99 BG Taut test : 0.00
%------------------------------------------------------------------------------