TSTP Solution File: GEO048-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO048-3 : 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/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 : n004.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 10:38:02 EDT 2023
% Result : Unsatisfiable 8.77s 3.07s
% Output : CNFRefutation 9.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 23
% Syntax : Number of formulae : 36 ( 12 unt; 17 typ; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 15 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 8 >; 26 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-6 aty)
% Number of variables : 21 (; 21 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > reflection > #nlpp > x > w > v1 > v > u1 > 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(u1,type,
u1: $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(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(v1,type,
v1: $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_487,axiom,
between(u,x,u1),
file(unknown,unknown) ).
tff(f_486,axiom,
between(u1,v1,w),
file(unknown,unknown) ).
tff(f_381,axiom,
! [U,V,W] :
( ~ between(U,V,W)
| between(W,V,U) ),
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_485,axiom,
between(u,v,w),
file(unknown,unknown) ).
tff(f_491,axiom,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
file(unknown,unknown) ).
tff(c_132,plain,
between(u,x,u1),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_130,plain,
between(u1,v1,w),
inference(cnfTransformation,[status(thm)],[f_486]) ).
tff(c_313,plain,
! [W_251,V_252,U_253] :
( between(W_251,V_252,U_253)
| ~ between(U_253,V_252,W_251) ),
inference(cnfTransformation,[status(thm)],[f_381]) ).
tff(c_341,plain,
between(w,v1,u1),
inference(resolution,[status(thm)],[c_130,c_313]) ).
tff(c_18,plain,
! [V_39,W_35,U_36,X_37,Y_38] :
( between(X_37,inner_pasch(U_36,V_39,W_35,X_37,Y_38),U_36)
| ~ between(Y_38,X_37,W_35)
| ~ between(U_36,V_39,W_35) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_128,plain,
between(u,v,w),
inference(cnfTransformation,[status(thm)],[f_485]) ).
tff(c_338,plain,
between(w,v,u),
inference(resolution,[status(thm)],[c_128,c_313]) ).
tff(c_2218,plain,
! [U_390,Y_391,X_389,V_388,W_392] :
( between(X_389,inner_pasch(U_390,V_388,W_392,X_389,Y_391),U_390)
| ~ between(Y_391,X_389,W_392)
| ~ between(U_390,V_388,W_392) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_136,plain,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
inference(cnfTransformation,[status(thm)],[f_491]) ).
tff(c_2230,plain,
( ~ between(w,v,u)
| ~ between(v1,inner_pasch(u,x,u1,v1,w),u) ),
inference(resolution,[status(thm)],[c_2218,c_136]) ).
tff(c_2280,plain,
~ between(v1,inner_pasch(u,x,u1,v1,w),u),
inference(demodulation,[status(thm),theory(equality)],[c_338,c_2230]) ).
tff(c_5483,plain,
( ~ between(w,v1,u1)
| ~ between(u,x,u1) ),
inference(resolution,[status(thm)],[c_18,c_2280]) ).
tff(c_5487,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132,c_341,c_5483]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO048-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 4 00:21:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 8.77/3.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.77/3.08
% 8.77/3.08 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.01/3.10
% 9.01/3.10 Inference rules
% 9.01/3.10 ----------------------
% 9.01/3.11 #Ref : 0
% 9.01/3.11 #Sup : 1362
% 9.01/3.11 #Fact : 0
% 9.01/3.11 #Define : 0
% 9.01/3.11 #Split : 25
% 9.01/3.11 #Chain : 0
% 9.01/3.11 #Close : 0
% 9.01/3.11
% 9.01/3.11 Ordering : KBO
% 9.01/3.11
% 9.01/3.11 Simplification rules
% 9.01/3.11 ----------------------
% 9.01/3.11 #Subsume : 75
% 9.01/3.11 #Demod : 602
% 9.01/3.11 #Tautology : 439
% 9.01/3.11 #SimpNegUnit : 97
% 9.01/3.11 #BackRed : 126
% 9.01/3.11
% 9.01/3.11 #Partial instantiations: 0
% 9.01/3.11 #Strategies tried : 1
% 9.01/3.11
% 9.01/3.11 Timing (in seconds)
% 9.01/3.11 ----------------------
% 9.01/3.11 Preprocessing : 0.63
% 9.01/3.11 Parsing : 0.28
% 9.01/3.11 CNF conversion : 0.04
% 9.01/3.11 Main loop : 1.42
% 9.01/3.11 Inferencing : 0.42
% 9.01/3.11 Reduction : 0.47
% 9.01/3.11 Demodulation : 0.33
% 9.01/3.11 BG Simplification : 0.05
% 9.01/3.11 Subsumption : 0.37
% 9.01/3.11 Abstraction : 0.05
% 9.01/3.11 MUC search : 0.00
% 9.01/3.11 Cooper : 0.00
% 9.01/3.11 Total : 2.09
% 9.01/3.11 Index Insertion : 0.00
% 9.01/3.11 Index Deletion : 0.00
% 9.01/3.11 Index Matching : 0.00
% 9.01/3.11 BG Taut test : 0.00
%------------------------------------------------------------------------------