%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO016-3 : TPTP v9.0.0. 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 : Wed Apr 9 06:13:28 PM UTC 2025
% Result : Unsatisfiable 3.31s 1.80s
% Output : CNFRefutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-6 aty)
% Number of variables : 28 ( 28 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > #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(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(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_233,axiom,
~ equidistant(v,u,w,x),
file(unknown,unknown) ).
tff(f_231,axiom,
equidistant(u,v,w,x),
file(unknown,unknown) ).
tff(f_58,axiom,
! [X,Y] : equidistant(X,Y,Y,X),
file(unknown,unknown) ).
tff(f_67,axiom,
! [W,Z,X,Y,V,V2] :
( ~ equidistant(X,Y,Z,V)
| ~ equidistant(X,Y,V2,W)
| equidistant(Z,V,V2,W) ),
file(unknown,unknown) ).
tff(f_230,axiom,
! [U,V,W,X] :
( ~ equidistant(U,V,W,X)
| equidistant(W,X,U,V) ),
file(unknown,unknown) ).
tff(c_44,plain,
~ equidistant(v,u,w,x),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_42,plain,
equidistant(u,v,w,x),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_2,plain,
! [X_1,Y_2] : equidistant(X_1,Y_2,Y_2,X_1),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_115,plain,
! [X_111,Y_109,W_110,Z_108,V_106,V2_107] :
( equidistant(Z_108,V_106,V2_107,W_110)
| ~ equidistant(X_111,Y_109,V2_107,W_110)
| ~ equidistant(X_111,Y_109,Z_108,V_106) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_150,plain,
! [Z_116,V_117,Y_118,X_119] :
( equidistant(Z_116,V_117,Y_118,X_119)
| ~ equidistant(X_119,Y_118,Z_116,V_117) ),
inference(resolution,[status(thm)],[c_2,c_115]) ).
tff(c_172,plain,
equidistant(w,x,v,u),
inference(resolution,[status(thm)],[c_42,c_150]) ).
tff(c_40,plain,
! [W_76,X_77,U_74,V_75] :
( equidistant(W_76,X_77,U_74,V_75)
| ~ equidistant(U_74,V_75,W_76,X_77) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_195,plain,
equidistant(v,u,w,x),
inference(resolution,[status(thm)],[c_172,c_40]) ).
tff(c_201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO016-3 : TPTP v9.0.0. Released v1.0.0.
% 0.09/0.10 % 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
% 0.09/0.29 % Computer : n004.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Apr 7 19:17:52 EDT 2025
% 0.09/0.29 % CPUTime :
% 3.31/1.80 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.34/1.80
% 3.34/1.80 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------