TSTP Solution File: GEO069-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO069-3 : 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/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 : n012.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 10:38:06 EDT 2023
% Result : Unsatisfiable 7.75s 2.83s
% Output : CNFRefutation 8.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 26
% Syntax : Number of formulae : 56 ( 19 unt; 17 typ; 0 def)
% Number of atoms : 70 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 30 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-6 aty)
% Number of variables : 45 (; 45 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > colinear > between > continuous > inner_pasch > euclid2 > euclid1 > insertion > extension > reflection > #nlpp > x > w > v > u > lower_dimension_point_3 > lower_dimension_point_2 > lower_dimension_point_1
%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(x,type,
x: $i ).
tff(lower_dimension_point_2,type,
lower_dimension_point_2: $i ).
tff(w,type,
w: $i ).
tff(colinear,type,
colinear: ( $i * $i * $i ) > $o ).
tff(equidistant,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(u,type,
u: $i ).
tff(lower_dimension_point_3,type,
lower_dimension_point_3: $i ).
tff(v,type,
v: $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(f_866,axiom,
( ~ colinear(x,w,u)
| ~ colinear(x,w,v) ),
file(unknown,unknown) ).
tff(f_823,axiom,
! [X,Y,Z] :
( ( X != Y )
| colinear(X,Z,Y) ),
file(unknown,unknown) ).
tff(f_859,axiom,
u != v,
file(unknown,unknown) ).
tff(f_860,axiom,
colinear(w,v,u),
file(unknown,unknown) ).
tff(f_790,axiom,
! [U,V,W] :
( ~ colinear(U,V,W)
| colinear(W,V,U) ),
file(unknown,unknown) ).
tff(f_857,axiom,
! [U,V,W,X] :
( ~ colinear(U,V,W)
| ~ colinear(U,V,X)
| colinear(V,W,X)
| ( U = V ) ),
file(unknown,unknown) ).
tff(f_861,axiom,
colinear(x,v,u),
file(unknown,unknown) ).
tff(f_795,axiom,
! [U,V,W] :
( ~ colinear(U,V,W)
| colinear(V,W,U) ),
file(unknown,unknown) ).
tff(f_847,axiom,
! [U,V,W,X] :
( ~ colinear(U,V,W)
| ~ colinear(U,V,X)
| colinear(U,W,X)
| ( U = V ) ),
file(unknown,unknown) ).
tff(c_214,plain,
( ~ colinear(x,w,v)
| ~ colinear(x,w,u) ),
inference(cnfTransformation,[status(thm)],[f_866]) ).
tff(c_545,plain,
~ colinear(x,w,u),
inference(splitLeft,[status(thm)],[c_214]) ).
tff(c_200,plain,
! [Y_349,Z_350] : colinear(Y_349,Z_350,Y_349),
inference(cnfTransformation,[status(thm)],[f_823]) ).
tff(c_208,plain,
v != u,
inference(cnfTransformation,[status(thm)],[f_859]) ).
tff(c_210,plain,
colinear(w,v,u),
inference(cnfTransformation,[status(thm)],[f_860]) ).
tff(c_434,plain,
! [W_431,V_432,U_433] :
( colinear(W_431,V_432,U_433)
| ~ colinear(U_433,V_432,W_431) ),
inference(cnfTransformation,[status(thm)],[f_790]) ).
tff(c_468,plain,
colinear(u,v,w),
inference(resolution,[status(thm)],[c_210,c_434]) ).
tff(c_3488,plain,
! [V_673,U_674,W_675,X_676] :
( ( V_673 = U_674 )
| colinear(V_673,W_675,X_676)
| ~ colinear(U_674,V_673,X_676)
| ~ colinear(U_674,V_673,W_675) ),
inference(cnfTransformation,[status(thm)],[f_857]) ).
tff(c_3514,plain,
! [W_675] :
( ( v = u )
| colinear(v,W_675,w)
| ~ colinear(u,v,W_675) ),
inference(resolution,[status(thm)],[c_468,c_3488]) ).
tff(c_3557,plain,
! [W_675] :
( colinear(v,W_675,w)
| ~ colinear(u,v,W_675) ),
inference(negUnitSimplification,[status(thm)],[c_208,c_3514]) ).
tff(c_212,plain,
colinear(x,v,u),
inference(cnfTransformation,[status(thm)],[f_861]) ).
tff(c_643,plain,
! [V_443,W_444,U_445] :
( colinear(V_443,W_444,U_445)
| ~ colinear(U_445,V_443,W_444) ),
inference(cnfTransformation,[status(thm)],[f_795]) ).
tff(c_696,plain,
colinear(v,u,x),
inference(resolution,[status(thm)],[c_212,c_643]) ).
tff(c_3504,plain,
! [W_675] :
( ( v = u )
| colinear(u,W_675,x)
| ~ colinear(v,u,W_675) ),
inference(resolution,[status(thm)],[c_696,c_3488]) ).
tff(c_3922,plain,
! [W_696] :
( colinear(u,W_696,x)
| ~ colinear(v,u,W_696) ),
inference(negUnitSimplification,[status(thm)],[c_208,c_3504]) ).
tff(c_3926,plain,
( colinear(u,w,x)
| ~ colinear(u,v,u) ),
inference(resolution,[status(thm)],[c_3557,c_3922]) ).
tff(c_3967,plain,
colinear(u,w,x),
inference(demodulation,[status(thm),theory(equality)],[c_200,c_3926]) ).
tff(c_182,plain,
! [W_329,V_328,U_327] :
( colinear(W_329,V_328,U_327)
| ~ colinear(U_327,V_328,W_329) ),
inference(cnfTransformation,[status(thm)],[f_790]) ).
tff(c_3994,plain,
colinear(x,w,u),
inference(resolution,[status(thm)],[c_3967,c_182]) ).
tff(c_4004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_545,c_3994]) ).
tff(c_4005,plain,
~ colinear(x,w,v),
inference(splitRight,[status(thm)],[c_214]) ).
tff(c_4037,plain,
! [V_697,W_698,U_699] :
( colinear(V_697,W_698,U_699)
| ~ colinear(U_699,V_697,W_698) ),
inference(cnfTransformation,[status(thm)],[f_795]) ).
tff(c_4088,plain,
colinear(v,u,w),
inference(resolution,[status(thm)],[c_210,c_4037]) ).
tff(c_4085,plain,
colinear(v,u,x),
inference(resolution,[status(thm)],[c_212,c_4037]) ).
tff(c_5960,plain,
! [V_866,U_867,W_868,X_869] :
( ( V_866 = U_867 )
| colinear(U_867,W_868,X_869)
| ~ colinear(U_867,V_866,X_869)
| ~ colinear(U_867,V_866,W_868) ),
inference(cnfTransformation,[status(thm)],[f_847]) ).
tff(c_5972,plain,
! [W_868] :
( ( v = u )
| colinear(v,W_868,x)
| ~ colinear(v,u,W_868) ),
inference(resolution,[status(thm)],[c_4085,c_5960]) ).
tff(c_6054,plain,
! [W_870] :
( colinear(v,W_870,x)
| ~ colinear(v,u,W_870) ),
inference(negUnitSimplification,[status(thm)],[c_208,c_5972]) ).
tff(c_6085,plain,
colinear(v,w,x),
inference(resolution,[status(thm)],[c_4088,c_6054]) ).
tff(c_6107,plain,
colinear(x,w,v),
inference(resolution,[status(thm)],[c_6085,c_182]) ).
tff(c_6116,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4005,c_6107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO069-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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 : n012.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 00:39:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 7.75/2.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.17/2.84
% 8.17/2.84 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.17/2.87
% 8.17/2.87 Inference rules
% 8.17/2.87 ----------------------
% 8.17/2.87 #Ref : 0
% 8.17/2.87 #Sup : 1473
% 8.17/2.87 #Fact : 0
% 8.17/2.87 #Define : 0
% 8.17/2.87 #Split : 1
% 8.17/2.87 #Chain : 0
% 8.17/2.87 #Close : 0
% 8.17/2.87
% 8.17/2.87 Ordering : KBO
% 8.17/2.87
% 8.17/2.87 Simplification rules
% 8.17/2.87 ----------------------
% 8.17/2.87 #Subsume : 85
% 8.17/2.87 #Demod : 815
% 8.17/2.87 #Tautology : 866
% 8.17/2.87 #SimpNegUnit : 25
% 8.17/2.87 #BackRed : 0
% 8.17/2.87
% 8.17/2.87 #Partial instantiations: 0
% 8.17/2.87 #Strategies tried : 1
% 8.17/2.87
% 8.17/2.87 Timing (in seconds)
% 8.17/2.87 ----------------------
% 8.17/2.87 Preprocessing : 0.71
% 8.17/2.87 Parsing : 0.28
% 8.17/2.87 CNF conversion : 0.05
% 8.17/2.87 Main loop : 1.10
% 8.17/2.87 Inferencing : 0.35
% 8.17/2.87 Reduction : 0.35
% 8.17/2.87 Demodulation : 0.25
% 8.17/2.87 BG Simplification : 0.05
% 8.17/2.87 Subsumption : 0.28
% 8.17/2.87 Abstraction : 0.04
% 8.17/2.87 MUC search : 0.00
% 8.17/2.87 Cooper : 0.00
% 8.17/2.87 Total : 1.86
% 8.17/2.87 Index Insertion : 0.00
% 8.17/2.87 Index Deletion : 0.00
% 8.17/2.87 Index Matching : 0.00
% 8.17/2.87 BG Taut test : 0.00
%------------------------------------------------------------------------------