TSTP Solution File: GEO255+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO255+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/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 : n008.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 10:38:54 EDT 2023
% Result : Theorem 10.07s 3.53s
% Output : CNFRefutation 10.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 58 ( 11 unt; 19 typ; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 98 ( 38 ~; 51 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 72 (; 72 !; 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
%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(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_195,axiom,
! [L] :
( line(L)
=> line(reverse_line(L)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oagco4) ).
tff(f_148,axiom,
! [L,M] :
( ( line(L)
& line(M) )
=> ( unequally_directed_lines(L,M)
| unequally_directed_lines(L,reverse_line(M)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag8) ).
tff(f_128,axiom,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(L,N)
| unequally_directed_lines(M,N) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag6) ).
tff(f_122,axiom,
! [L] : ~ unequally_directed_lines(L,L),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
tff(f_166,axiom,
! [L,M] :
~ ( left_convergent_lines(L,M)
| left_convergent_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag11) ).
tff(f_156,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/GEO007+0.ax',oag9) ).
tff(f_287,negated_conjecture,
~ ! [L,A,B] :
( ( line(L)
& distinct_points(A,B) )
=> ~ ( before_on_line(L,A,B)
& before_on_line(L,B,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_222,axiom,
! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oagco9) ).
tff(c_90,plain,
! [L_44] :
( line(reverse_line(L_44))
| ~ line(L_44) ),
inference(cnfTransformation,[status(thm)],[f_195]) ).
tff(c_495,plain,
! [L_134,M_135] :
( unequally_directed_lines(L_134,reverse_line(M_135))
| unequally_directed_lines(L_134,M_135)
| ~ line(M_135)
| ~ line(L_134) ),
inference(cnfTransformation,[status(thm)],[f_148]) ).
tff(c_62,plain,
! [M_25,N_26,L_24] :
( unequally_directed_lines(M_25,N_26)
| unequally_directed_lines(L_24,N_26)
| ~ unequally_directed_lines(L_24,M_25) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_4600,plain,
! [M_305,N_306,L_307] :
( unequally_directed_lines(reverse_line(M_305),N_306)
| unequally_directed_lines(L_307,N_306)
| unequally_directed_lines(L_307,M_305)
| ~ line(M_305)
| ~ line(L_307) ),
inference(resolution,[status(thm)],[c_495,c_62]) ).
tff(c_60,plain,
! [L_23] : ~ unequally_directed_lines(L_23,L_23),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_4702,plain,
! [M_308,N_309] :
( unequally_directed_lines(reverse_line(M_308),N_309)
| unequally_directed_lines(M_308,N_309)
| ~ line(M_308) ),
inference(resolution,[status(thm)],[c_4600,c_60]) ).
tff(c_5870,plain,
! [N_356,N_357,M_358] :
( unequally_directed_lines(N_356,N_357)
| unequally_directed_lines(reverse_line(M_358),N_357)
| unequally_directed_lines(M_358,N_356)
| ~ line(M_358) ),
inference(resolution,[status(thm)],[c_4702,c_62]) ).
tff(c_80,plain,
! [L_36,M_37] : ~ left_convergent_lines(L_36,M_37),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_74,plain,
! [L_32,M_33] :
( left_convergent_lines(L_32,reverse_line(M_33))
| left_convergent_lines(L_32,M_33)
| ~ unequally_directed_lines(L_32,reverse_line(M_33))
| ~ unequally_directed_lines(L_32,M_33) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_132,plain,
! [L_32,M_33] :
( ~ unequally_directed_lines(L_32,reverse_line(M_33))
| ~ unequally_directed_lines(L_32,M_33) ),
inference(negUnitSimplification,[status(thm)],[c_80,c_80,c_74]) ).
tff(c_4728,plain,
! [M_308,M_33] :
( ~ unequally_directed_lines(reverse_line(M_308),M_33)
| unequally_directed_lines(M_308,reverse_line(M_33))
| ~ line(M_308) ),
inference(resolution,[status(thm)],[c_4702,c_132]) ).
tff(c_6801,plain,
! [M_402,N_403,N_404] :
( unequally_directed_lines(M_402,reverse_line(N_403))
| unequally_directed_lines(N_404,N_403)
| unequally_directed_lines(M_402,N_404)
| ~ line(M_402) ),
inference(resolution,[status(thm)],[c_5870,c_4728]) ).
tff(c_6939,plain,
! [N_404,N_403] :
( unequally_directed_lines(N_404,N_403)
| unequally_directed_lines(reverse_line(N_403),N_404)
| ~ line(reverse_line(N_403)) ),
inference(resolution,[status(thm)],[c_6801,c_60]) ).
tff(c_5991,plain,
! [M_358,N_357,N_356] :
( unequally_directed_lines(M_358,reverse_line(N_357))
| unequally_directed_lines(N_356,N_357)
| unequally_directed_lines(M_358,N_356)
| ~ line(M_358) ),
inference(resolution,[status(thm)],[c_5870,c_4728]) ).
tff(c_7169,plain,
! [N_412,M_413] :
( unequally_directed_lines(reverse_line(N_412),N_412)
| ~ line(M_413)
| unequally_directed_lines(M_413,reverse_line(N_412)) ),
inference(factorization,[status(thm),theory(equality)],[c_5991]) ).
tff(c_7242,plain,
! [M_415,N_416] :
( ~ unequally_directed_lines(M_415,N_416)
| unequally_directed_lines(reverse_line(N_416),N_416)
| ~ line(M_415) ),
inference(resolution,[status(thm)],[c_7169,c_132]) ).
tff(c_8695,plain,
! [N_455,N_456] :
( unequally_directed_lines(reverse_line(N_455),N_455)
| unequally_directed_lines(N_455,N_456)
| ~ line(reverse_line(N_456)) ),
inference(resolution,[status(thm)],[c_6939,c_7242]) ).
tff(c_8699,plain,
! [N_457,L_458] :
( unequally_directed_lines(reverse_line(N_457),N_457)
| unequally_directed_lines(N_457,L_458)
| ~ line(L_458) ),
inference(resolution,[status(thm)],[c_90,c_8695]) ).
tff(c_6010,plain,
! [N_359,M_360] :
( unequally_directed_lines(N_359,reverse_line(M_360))
| unequally_directed_lines(M_360,N_359)
| ~ line(M_360) ),
inference(resolution,[status(thm)],[c_5870,c_60]) ).
tff(c_6052,plain,
! [N_359,M_360] :
( ~ unequally_directed_lines(N_359,M_360)
| unequally_directed_lines(M_360,N_359)
| ~ line(M_360) ),
inference(resolution,[status(thm)],[c_6010,c_132]) ).
tff(c_8929,plain,
! [L_462,N_463] :
( unequally_directed_lines(L_462,N_463)
| unequally_directed_lines(reverse_line(N_463),N_463)
| ~ line(L_462) ),
inference(resolution,[status(thm)],[c_8699,c_6052]) ).
tff(c_7234,plain,
! [M_413,N_412] :
( ~ unequally_directed_lines(M_413,N_412)
| unequally_directed_lines(reverse_line(N_412),N_412)
| ~ line(M_413) ),
inference(resolution,[status(thm)],[c_7169,c_132]) ).
tff(c_9017,plain,
! [N_463,L_462] :
( unequally_directed_lines(reverse_line(N_463),N_463)
| ~ line(L_462) ),
inference(resolution,[status(thm)],[c_8929,c_7234]) ).
tff(c_9037,plain,
! [L_462] : ~ line(L_462),
inference(splitLeft,[status(thm)],[c_9017]) ).
tff(c_124,plain,
line('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_287]) ).
tff(c_9040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9037,c_124]) ).
tff(c_9054,plain,
! [N_464] : unequally_directed_lines(reverse_line(N_464),N_464),
inference(splitRight,[status(thm)],[c_9017]) ).
tff(c_9355,plain,
! [N_471,N_472] :
( unequally_directed_lines(N_471,N_472)
| unequally_directed_lines(reverse_line(N_471),N_472) ),
inference(resolution,[status(thm)],[c_9054,c_62]) ).
tff(c_9423,plain,
! [N_473] : unequally_directed_lines(N_473,reverse_line(N_473)),
inference(resolution,[status(thm)],[c_9355,c_60]) ).
tff(c_104,plain,
! [A_52,B_53] : ~ unequally_directed_lines(line_connecting(A_52,B_53),reverse_line(line_connecting(B_53,A_52))),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_9459,plain,
$false,
inference(resolution,[status(thm)],[c_9423,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO255+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/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
% 0.14/0.35 % Computer : n008.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 00:47:48 EDT 2023
% 0.14/0.35 % CPUTime :
% 10.07/3.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.07/3.54
% 10.07/3.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.07/3.57
% 10.07/3.57 Inference rules
% 10.07/3.57 ----------------------
% 10.07/3.57 #Ref : 0
% 10.07/3.57 #Sup : 1284
% 10.07/3.57 #Fact : 486
% 10.07/3.57 #Define : 0
% 10.07/3.57 #Split : 4
% 10.07/3.57 #Chain : 0
% 10.07/3.57 #Close : 0
% 10.07/3.57
% 10.07/3.57 Ordering : KBO
% 10.07/3.57
% 10.07/3.57 Simplification rules
% 10.07/3.57 ----------------------
% 10.07/3.57 #Subsume : 963
% 10.07/3.57 #Demod : 161
% 10.07/3.57 #Tautology : 159
% 10.07/3.57 #SimpNegUnit : 194
% 10.07/3.57 #BackRed : 3
% 10.07/3.57
% 10.07/3.57 #Partial instantiations: 0
% 10.07/3.57 #Strategies tried : 1
% 10.07/3.57
% 10.07/3.57 Timing (in seconds)
% 10.07/3.57 ----------------------
% 10.07/3.58 Preprocessing : 0.57
% 10.07/3.58 Parsing : 0.32
% 10.07/3.58 CNF conversion : 0.04
% 10.07/3.58 Main loop : 1.85
% 10.07/3.58 Inferencing : 0.62
% 10.07/3.58 Reduction : 0.35
% 10.07/3.58 Demodulation : 0.21
% 10.07/3.58 BG Simplification : 0.05
% 10.07/3.58 Subsumption : 0.74
% 10.07/3.58 Abstraction : 0.05
% 10.07/3.58 MUC search : 0.00
% 10.07/3.58 Cooper : 0.00
% 10.07/3.58 Total : 2.48
% 10.07/3.58 Index Insertion : 0.00
% 10.07/3.58 Index Deletion : 0.00
% 10.07/3.58 Index Matching : 0.00
% 10.07/3.58 BG Taut test : 0.00
%------------------------------------------------------------------------------