TSTP Solution File: GEO220+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO220+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/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 : n032.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 10:38:44 EDT 2023
% Result : Theorem 2.58s 1.67s
% Output : CNFRefutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 19 ( 5 unt; 10 typ; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 3 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 7 >; 7 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 10 (; 10 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ unorthogonal_lines > 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(unorthogonal_lines,type,
unorthogonal_lines: ( $i * $i ) > $o ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(f_203,negated_conjecture,
~ ! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_191,axiom,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',couo1) ).
tff(c_44,plain,
~ unorthogonal_lines('#skF_1','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_42,plain,
convergent_lines('#skF_2','#skF_3'),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_74,plain,
! [M_61,N_62,L_63] :
( ~ convergent_lines(M_61,N_62)
| unorthogonal_lines(L_63,N_62)
| unorthogonal_lines(L_63,M_61) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_102,plain,
! [L_65] :
( unorthogonal_lines(L_65,'#skF_3')
| unorthogonal_lines(L_65,'#skF_2') ),
inference(resolution,[status(thm)],[c_42,c_74]) ).
tff(c_46,plain,
~ unorthogonal_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_105,plain,
unorthogonal_lines('#skF_1','#skF_3'),
inference(resolution,[status(thm)],[c_102,c_46]) ).
tff(c_109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO220+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % 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
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Aug 4 00:36:21 EDT 2023
% 0.12/0.32 % CPUTime :
% 2.58/1.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.58/1.67
% 2.58/1.67 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.58/1.70
% 2.58/1.70 Inference rules
% 2.58/1.70 ----------------------
% 2.58/1.70 #Ref : 0
% 2.58/1.70 #Sup : 14
% 2.58/1.70 #Fact : 0
% 2.58/1.70 #Define : 0
% 2.58/1.70 #Split : 0
% 2.58/1.70 #Chain : 0
% 2.58/1.70 #Close : 0
% 2.58/1.70
% 2.58/1.70 Ordering : KBO
% 2.58/1.70
% 2.58/1.70 Simplification rules
% 2.58/1.70 ----------------------
% 2.58/1.70 #Subsume : 2
% 2.58/1.70 #Demod : 0
% 2.58/1.70 #Tautology : 0
% 2.58/1.70 #SimpNegUnit : 1
% 2.58/1.70 #BackRed : 0
% 2.58/1.70
% 2.58/1.70 #Partial instantiations: 0
% 2.58/1.70 #Strategies tried : 1
% 2.58/1.70
% 2.58/1.70 Timing (in seconds)
% 2.58/1.70 ----------------------
% 2.58/1.70 Preprocessing : 0.47
% 2.58/1.70 Parsing : 0.26
% 2.58/1.70 CNF conversion : 0.03
% 2.58/1.70 Main loop : 0.24
% 2.58/1.70 Inferencing : 0.10
% 2.58/1.70 Reduction : 0.06
% 2.58/1.70 Demodulation : 0.04
% 2.58/1.70 BG Simplification : 0.02
% 2.58/1.70 Subsumption : 0.06
% 2.58/1.70 Abstraction : 0.01
% 2.58/1.70 MUC search : 0.00
% 2.58/1.70 Cooper : 0.00
% 2.58/1.70 Total : 0.76
% 2.58/1.70 Index Insertion : 0.00
% 2.58/1.70 Index Deletion : 0.00
% 2.58/1.70 Index Matching : 0.00
% 2.58/1.70 BG Taut test : 0.00
%------------------------------------------------------------------------------