TSTP Solution File: GEO233+3 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO233+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/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 10:38:48 EDT 2023
% Result : Theorem 4.12s 2.01s
% Output : CNFRefutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 30
% Syntax : Number of formulae : 47 ( 10 unt; 23 typ; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 14 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 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 : 37 (; 37 !; 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_66,axiom,
! [X,Y] :
( equally_directed_lines(X,Y)
<=> ~ unequally_directed_lines(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a4_defns) ).
tff(f_155,axiom,
! [L,M] :
( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).
tff(f_53,axiom,
! [X,Y] :
( unequally_directed_opposite_lines(X,Y)
<=> unequally_directed_lines(X,reverse_line(Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
tff(f_133,axiom,
! [L] : equally_directed_lines(L,L),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax5_basics) ).
tff(f_173,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO009+0.ax',ax9_basics) ).
tff(f_284,negated_conjecture,
~ ! [L] : equally_directed_lines(reverse_line(reverse_line(L)),L),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
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_88,plain,
! [L_40,M_41] :
( unequally_directed_lines(L_40,reverse_line(M_41))
| unequally_directed_lines(L_40,M_41) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_219,plain,
! [X_130,Y_131] :
( unequally_directed_opposite_lines(X_130,Y_131)
| ~ unequally_directed_lines(X_130,reverse_line(Y_131)) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_231,plain,
! [L_40,M_41] :
( unequally_directed_opposite_lines(L_40,M_41)
| unequally_directed_lines(L_40,M_41) ),
inference(resolution,[status(thm)],[c_88,c_219]) ).
tff(c_76,plain,
! [L_33] : equally_directed_lines(L_33,L_33),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_257,plain,
! [X_141,Y_142] :
( unequally_directed_lines(X_141,reverse_line(Y_142))
| ~ unequally_directed_opposite_lines(X_141,Y_142) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
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_328,plain,
! [X_155,Y_156] :
( ~ equally_directed_lines(X_155,reverse_line(Y_156))
| ~ unequally_directed_opposite_lines(X_155,Y_156) ),
inference(resolution,[status(thm)],[c_257,c_14]) ).
tff(c_339,plain,
! [Y_157] : ~ unequally_directed_opposite_lines(reverse_line(Y_157),Y_157),
inference(resolution,[status(thm)],[c_76,c_328]) ).
tff(c_350,plain,
! [M_158] : unequally_directed_lines(reverse_line(M_158),M_158),
inference(resolution,[status(thm)],[c_231,c_339]) ).
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_402,plain,
! [M_168] : ~ unequally_directed_lines(reverse_line(reverse_line(M_168)),M_168),
inference(resolution,[status(thm)],[c_350,c_142]) ).
tff(c_422,plain,
! [Y_8] : equally_directed_lines(reverse_line(reverse_line(Y_8)),Y_8),
inference(resolution,[status(thm)],[c_16,c_402]) ).
tff(c_134,plain,
~ equally_directed_lines(reverse_line(reverse_line('#skF_1')),'#skF_1'),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_432,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_422,c_134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO233+3 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.14/0.35 % Computer : n005.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 00:11:12 EDT 2023
% 0.14/0.36 % CPUTime :
% 4.12/2.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.12/2.02
% 4.12/2.02 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.12/2.04
% 4.12/2.04 Inference rules
% 4.12/2.04 ----------------------
% 4.12/2.04 #Ref : 0
% 4.12/2.04 #Sup : 54
% 4.12/2.04 #Fact : 0
% 4.12/2.04 #Define : 0
% 4.12/2.04 #Split : 1
% 4.12/2.04 #Chain : 0
% 4.12/2.04 #Close : 0
% 4.12/2.04
% 4.12/2.04 Ordering : KBO
% 4.12/2.04
% 4.12/2.04 Simplification rules
% 4.12/2.04 ----------------------
% 4.12/2.04 #Subsume : 41
% 4.12/2.04 #Demod : 2
% 4.12/2.04 #Tautology : 8
% 4.12/2.04 #SimpNegUnit : 17
% 4.12/2.04 #BackRed : 1
% 4.12/2.04
% 4.12/2.04 #Partial instantiations: 0
% 4.12/2.04 #Strategies tried : 1
% 4.12/2.04
% 4.12/2.04 Timing (in seconds)
% 4.12/2.04 ----------------------
% 4.26/2.04 Preprocessing : 0.55
% 4.26/2.04 Parsing : 0.31
% 4.26/2.04 CNF conversion : 0.04
% 4.26/2.04 Main loop : 0.33
% 4.26/2.04 Inferencing : 0.12
% 4.26/2.05 Reduction : 0.08
% 4.26/2.05 Demodulation : 0.05
% 4.26/2.05 BG Simplification : 0.03
% 4.26/2.05 Subsumption : 0.08
% 4.26/2.05 Abstraction : 0.01
% 4.26/2.05 MUC search : 0.00
% 4.26/2.05 Cooper : 0.00
% 4.26/2.05 Total : 0.93
% 4.26/2.05 Index Insertion : 0.00
% 4.26/2.05 Index Deletion : 0.00
% 4.26/2.05 Index Matching : 0.00
% 4.26/2.05 BG Taut test : 0.00
%------------------------------------------------------------------------------