TSTP Solution File: GEO040-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO040-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : n021.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 10:38:00 EDT 2023
% Result : Unsatisfiable 7.76s 2.80s
% Output : CNFRefutation 7.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of formulae : 33 ( 10 unt; 14 typ; 0 def)
% Number of atoms : 34 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 8 >; 26 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-6 aty)
% Number of variables : 29 (; 29 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > reflection > #nlpp > 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(lower_dimension_point_2,type,
lower_dimension_point_2: $i ).
tff(w,type,
w: $i ).
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(inner_pasch,type,
inner_pasch: ( $i * $i * $i * $i * $i ) > $i ).
tff(continuous,type,
continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(f_387,axiom,
u != v,
file(unknown,unknown) ).
tff(f_385,axiom,
between(v,u,w),
file(unknown,unknown) ).
tff(f_384,axiom,
between(u,v,w),
file(unknown,unknown) ).
tff(f_126,axiom,
! [W,U,X,Y,V] :
( ~ between(U,V,W)
| ~ between(Y,X,W)
| between(X,inner_pasch(U,V,W,X,Y),U) ),
file(unknown,unknown) ).
tff(f_107,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_117,axiom,
! [W,U,X,Y,V] :
( ~ between(U,V,W)
| ~ between(Y,X,W)
| between(V,inner_pasch(U,V,W,X,Y),Y) ),
file(unknown,unknown) ).
tff(c_100,plain,
v != u,
inference(cnfTransformation,[status(thm)],[f_387]) ).
tff(c_98,plain,
between(v,u,w),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_96,plain,
between(u,v,w),
inference(cnfTransformation,[status(thm)],[f_384]) ).
tff(c_2209,plain,
! [X_356,Y_358,V_355,W_359,U_357] :
( between(X_356,inner_pasch(U_357,V_355,W_359,X_356,Y_358),U_357)
| ~ between(Y_358,X_356,W_359)
| ~ between(U_357,V_355,W_359) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_14,plain,
! [Y_29,X_28] :
( ( Y_29 = X_28 )
| ~ between(X_28,Y_29,X_28) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_6887,plain,
! [U_571,V_572,W_573,Y_574] :
( ( inner_pasch(U_571,V_572,W_573,U_571,Y_574) = U_571 )
| ~ between(Y_574,U_571,W_573)
| ~ between(U_571,V_572,W_573) ),
inference(resolution,[status(thm)],[c_2209,c_14]) ).
tff(c_6982,plain,
! [V_576] :
( ( inner_pasch(v,V_576,w,v,u) = v )
| ~ between(v,V_576,w) ),
inference(resolution,[status(thm)],[c_96,c_6887]) ).
tff(c_7006,plain,
inner_pasch(v,u,w,v,u) = v,
inference(resolution,[status(thm)],[c_98,c_6982]) ).
tff(c_16,plain,
! [U_31,X_32,Y_33,W_30,V_34] :
( between(V_34,inner_pasch(U_31,V_34,W_30,X_32,Y_33),Y_33)
| ~ between(Y_33,X_32,W_30)
| ~ between(U_31,V_34,W_30) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_7038,plain,
( between(u,v,u)
| ~ between(u,v,w)
| ~ between(v,u,w) ),
inference(superposition,[status(thm),theory(equality)],[c_7006,c_16]) ).
tff(c_7045,plain,
between(u,v,u),
inference(demodulation,[status(thm),theory(equality)],[c_98,c_96,c_7038]) ).
tff(c_7063,plain,
v = u,
inference(resolution,[status(thm)],[c_7045,c_14]) ).
tff(c_7076,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_7063]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO040-3 : TPTP v8.1.2. Released v1.0.0.
% 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
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 4 00:48:22 EDT 2023
% 0.15/0.35 % CPUTime :
% 7.76/2.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.76/2.81
% 7.76/2.81 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.76/2.84
% 7.76/2.84 Inference rules
% 7.76/2.84 ----------------------
% 7.76/2.84 #Ref : 0
% 7.76/2.84 #Sup : 1743
% 7.76/2.84 #Fact : 0
% 7.76/2.84 #Define : 0
% 7.76/2.84 #Split : 2
% 7.76/2.84 #Chain : 0
% 7.76/2.84 #Close : 0
% 7.76/2.84
% 7.76/2.84 Ordering : KBO
% 7.76/2.84
% 7.76/2.84 Simplification rules
% 7.76/2.84 ----------------------
% 7.76/2.84 #Subsume : 24
% 7.76/2.84 #Demod : 1270
% 7.76/2.84 #Tautology : 1047
% 7.76/2.84 #SimpNegUnit : 12
% 7.76/2.84 #BackRed : 14
% 7.76/2.84
% 7.76/2.84 #Partial instantiations: 0
% 7.76/2.84 #Strategies tried : 1
% 7.76/2.84
% 7.76/2.84 Timing (in seconds)
% 7.76/2.84 ----------------------
% 7.76/2.84 Preprocessing : 0.62
% 7.76/2.84 Parsing : 0.30
% 7.76/2.84 CNF conversion : 0.04
% 7.76/2.84 Main loop : 1.21
% 7.76/2.84 Inferencing : 0.38
% 7.76/2.84 Reduction : 0.41
% 7.76/2.84 Demodulation : 0.31
% 7.76/2.84 BG Simplification : 0.05
% 7.76/2.84 Subsumption : 0.30
% 7.76/2.84 Abstraction : 0.05
% 7.76/2.84 MUC search : 0.00
% 7.76/2.84 Cooper : 0.00
% 7.76/2.84 Total : 1.88
% 7.76/2.84 Index Insertion : 0.00
% 7.76/2.84 Index Deletion : 0.00
% 7.76/2.84 Index Matching : 0.00
% 7.76/2.84 BG Taut test : 0.00
%------------------------------------------------------------------------------