TSTP Solution File: GEO010-3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO010-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n014.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 10:37:52 EDT 2023
% Result : Unsatisfiable 18.65s 6.61s
% Output : CNFRefutation 18.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 25
% Syntax : Number of formulae : 70 ( 30 unt; 16 typ; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 97 ( 54 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 10 >; 31 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-6 aty)
% Number of variables : 45 (; 45 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > colinear > between > continuous > inner_pasch > euclid2 > euclid1 > insertion > extension > reflection > #nlpp > lower_dimension_point_3 > lower_dimension_point_2 > lower_dimension_point_1 > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(lower_dimension_point_1,type,
lower_dimension_point_1: $i ).
tff(euclid2,type,
euclid2: ( $i * $i * $i * $i * $i ) > $i ).
tff(a,type,
a: $i ).
tff(lower_dimension_point_2,type,
lower_dimension_point_2: $i ).
tff(colinear,type,
colinear: ( $i * $i * $i ) > $o ).
tff(equidistant,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(lower_dimension_point_3,type,
lower_dimension_point_3: $i ).
tff(extension,type,
extension: ( $i * $i * $i * $i ) > $i ).
tff(reflection,type,
reflection: ( $i * $i ) > $i ).
tff(euclid1,type,
euclid1: ( $i * $i * $i * $i * $i ) > $i ).
tff(between,type,
between: ( $i * $i * $i ) > $o ).
tff(insertion,type,
insertion: ( $i * $i * $i * $i ) > $i ).
tff(inner_pasch,type,
inner_pasch: ( $i * $i * $i * $i * $i ) > $i ).
tff(continuous,type,
continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_782,axiom,
! [U,W,V] :
( ~ between(U,W,V)
| colinear(U,V,W) ),
file(unknown,unknown) ).
tff(f_787,axiom,
! [V,U,W] :
( ~ between(V,U,W)
| colinear(U,V,W) ),
file(unknown,unknown) ).
tff(f_264,axiom,
! [Z,X,Y] :
( ~ between(Z,X,Y)
| colinear(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_802,axiom,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
file(unknown,unknown) ).
tff(f_777,axiom,
! [W,V,U] :
( ~ between(W,V,U)
| colinear(U,V,W) ),
file(unknown,unknown) ).
tff(f_788,axiom,
colinear(a,b,c),
file(unknown,unknown) ).
tff(f_273,axiom,
! [X,Y,Z] :
( ~ colinear(X,Y,Z)
| between(X,Y,Z)
| between(Y,Z,X)
| between(Z,X,Y) ),
file(unknown,unknown) ).
tff(f_254,axiom,
! [X,Y,Z] :
( ~ between(X,Y,Z)
| colinear(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_259,axiom,
! [Y,Z,X] :
( ~ between(Y,Z,X)
| colinear(X,Y,Z) ),
file(unknown,unknown) ).
tff(c_178,plain,
! [U_321,V_323,W_322] :
( colinear(U_321,V_323,W_322)
| ~ between(U_321,W_322,V_323) ),
inference(cnfTransformation,[status(thm)],[f_782]) ).
tff(c_180,plain,
! [U_325,V_324,W_326] :
( colinear(U_325,V_324,W_326)
| ~ between(V_324,U_325,W_326) ),
inference(cnfTransformation,[status(thm)],[f_787]) ).
tff(c_42,plain,
! [X_79,Y_80,Z_78] :
( colinear(X_79,Y_80,Z_78)
| ~ between(Z_78,X_79,Y_80) ),
inference(cnfTransformation,[status(thm)],[f_264]) ).
tff(c_184,plain,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
inference(cnfTransformation,[status(thm)],[f_802]) ).
tff(c_5803,plain,
~ colinear(a,c,b),
inference(splitLeft,[status(thm)],[c_184]) ).
tff(c_5822,plain,
~ between(a,b,c),
inference(resolution,[status(thm)],[c_178,c_5803]) ).
tff(c_176,plain,
! [U_320,V_319,W_318] :
( colinear(U_320,V_319,W_318)
| ~ between(W_318,V_319,U_320) ),
inference(cnfTransformation,[status(thm)],[f_777]) ).
tff(c_5824,plain,
~ between(b,c,a),
inference(resolution,[status(thm)],[c_176,c_5803]) ).
tff(c_5825,plain,
~ between(c,a,b),
inference(resolution,[status(thm)],[c_180,c_5803]) ).
tff(c_182,plain,
colinear(a,b,c),
inference(cnfTransformation,[status(thm)],[f_788]) ).
tff(c_3618,plain,
! [Z_649,X_650,Y_651] :
( between(Z_649,X_650,Y_651)
| between(Y_651,Z_649,X_650)
| between(X_650,Y_651,Z_649)
| ~ colinear(X_650,Y_651,Z_649) ),
inference(cnfTransformation,[status(thm)],[f_273]) ).
tff(c_3646,plain,
( between(c,a,b)
| between(b,c,a)
| between(a,b,c) ),
inference(resolution,[status(thm)],[c_182,c_3618]) ).
tff(c_16393,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5822,c_5824,c_5825,c_3646]) ).
tff(c_16394,plain,
( ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
inference(splitRight,[status(thm)],[c_184]) ).
tff(c_16833,plain,
~ colinear(c,b,a),
inference(splitLeft,[status(thm)],[c_16394]) ).
tff(c_16857,plain,
~ between(a,c,b),
inference(resolution,[status(thm)],[c_42,c_16833]) ).
tff(c_38,plain,
! [X_72,Y_73,Z_74] :
( colinear(X_72,Y_73,Z_74)
| ~ between(X_72,Y_73,Z_74) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_16856,plain,
~ between(c,b,a),
inference(resolution,[status(thm)],[c_38,c_16833]) ).
tff(c_40,plain,
! [X_77,Y_75,Z_76] :
( colinear(X_77,Y_75,Z_76)
| ~ between(Y_75,Z_76,X_77) ),
inference(cnfTransformation,[status(thm)],[f_259]) ).
tff(c_16853,plain,
~ between(b,a,c),
inference(resolution,[status(thm)],[c_40,c_16833]) ).
tff(c_16395,plain,
colinear(a,c,b),
inference(splitRight,[status(thm)],[c_184]) ).
tff(c_44,plain,
! [Z_83,X_81,Y_82] :
( between(Z_83,X_81,Y_82)
| between(Y_82,Z_83,X_81)
| between(X_81,Y_82,Z_83)
| ~ colinear(X_81,Y_82,Z_83) ),
inference(cnfTransformation,[status(thm)],[f_273]) ).
tff(c_16399,plain,
( between(b,a,c)
| between(c,b,a)
| between(a,c,b) ),
inference(resolution,[status(thm)],[c_16395,c_44]) ).
tff(c_19795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16857,c_16856,c_16853,c_16399]) ).
tff(c_19796,plain,
( ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c) ),
inference(splitRight,[status(thm)],[c_16394]) ).
tff(c_20352,plain,
~ colinear(b,a,c),
inference(splitLeft,[status(thm)],[c_19796]) ).
tff(c_20374,plain,
~ between(a,b,c),
inference(resolution,[status(thm)],[c_180,c_20352]) ).
tff(c_20371,plain,
~ between(b,c,a),
inference(resolution,[status(thm)],[c_178,c_20352]) ).
tff(c_20373,plain,
~ between(c,a,b),
inference(resolution,[status(thm)],[c_176,c_20352]) ).
tff(c_22848,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20374,c_20371,c_20373,c_3646]) ).
tff(c_22849,plain,
( ~ colinear(b,c,a)
| ~ colinear(c,a,b) ),
inference(splitRight,[status(thm)],[c_19796]) ).
tff(c_22855,plain,
~ colinear(c,a,b),
inference(splitLeft,[status(thm)],[c_22849]) ).
tff(c_22874,plain,
~ between(c,b,a),
inference(resolution,[status(thm)],[c_178,c_22855]) ).
tff(c_22876,plain,
~ between(b,a,c),
inference(resolution,[status(thm)],[c_176,c_22855]) ).
tff(c_22877,plain,
~ between(a,c,b),
inference(resolution,[status(thm)],[c_180,c_22855]) ).
tff(c_19797,plain,
colinear(c,b,a),
inference(splitRight,[status(thm)],[c_16394]) ).
tff(c_19801,plain,
( between(a,c,b)
| between(b,a,c)
| between(c,b,a) ),
inference(resolution,[status(thm)],[c_19797,c_44]) ).
tff(c_24492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22874,c_22876,c_22877,c_19801]) ).
tff(c_24493,plain,
~ colinear(b,c,a),
inference(splitRight,[status(thm)],[c_22849]) ).
tff(c_24513,plain,
~ between(b,a,c),
inference(resolution,[status(thm)],[c_178,c_24493]) ).
tff(c_24515,plain,
~ between(a,c,b),
inference(resolution,[status(thm)],[c_176,c_24493]) ).
tff(c_24516,plain,
~ between(c,b,a),
inference(resolution,[status(thm)],[c_180,c_24493]) ).
tff(c_22850,plain,
colinear(b,a,c),
inference(splitRight,[status(thm)],[c_19796]) ).
tff(c_22854,plain,
( between(c,b,a)
| between(a,c,b)
| between(b,a,c) ),
inference(resolution,[status(thm)],[c_22850,c_44]) ).
tff(c_28589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24513,c_24515,c_24516,c_22854]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO010-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 4 00:25:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 18.65/6.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.65/6.62
% 18.65/6.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 18.82/6.66
% 18.82/6.66 Inference rules
% 18.82/6.66 ----------------------
% 18.82/6.66 #Ref : 0
% 18.82/6.66 #Sup : 7337
% 18.82/6.66 #Fact : 10
% 18.82/6.66 #Define : 0
% 18.82/6.66 #Split : 4
% 18.82/6.66 #Chain : 0
% 18.82/6.66 #Close : 0
% 18.82/6.66
% 18.82/6.66 Ordering : KBO
% 18.82/6.66
% 18.82/6.66 Simplification rules
% 18.82/6.66 ----------------------
% 18.82/6.66 #Subsume : 167
% 18.82/6.66 #Demod : 3287
% 18.82/6.66 #Tautology : 2749
% 18.82/6.66 #SimpNegUnit : 170
% 18.82/6.66 #BackRed : 0
% 18.82/6.66
% 18.82/6.66 #Partial instantiations: 0
% 18.82/6.66 #Strategies tried : 1
% 18.82/6.66
% 18.82/6.66 Timing (in seconds)
% 18.82/6.66 ----------------------
% 18.82/6.66 Preprocessing : 0.72
% 18.82/6.66 Parsing : 0.30
% 18.82/6.66 CNF conversion : 0.05
% 18.82/6.66 Main loop : 4.86
% 18.82/6.66 Inferencing : 0.94
% 18.82/6.66 Reduction : 1.88
% 18.82/6.66 Demodulation : 1.54
% 18.82/6.66 BG Simplification : 0.11
% 18.82/6.66 Subsumption : 1.61
% 18.82/6.66 Abstraction : 0.13
% 18.82/6.66 MUC search : 0.00
% 18.82/6.66 Cooper : 0.00
% 18.82/6.66 Total : 5.64
% 18.82/6.66 Index Insertion : 0.00
% 18.82/6.66 Index Deletion : 0.00
% 18.82/6.66 Index Matching : 0.00
% 18.82/6.66 BG Taut test : 0.00
%------------------------------------------------------------------------------