%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO021-3 : 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/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 : n031.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 06:13:30 PM UTC 2025
% Result : Unsatisfiable 4.01s 2.43s
% Output : CNFRefutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 20 ( 20 !; 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_238,axiom,
~ equidistant(x,w,v,u),
file(unknown,unknown) ).
tff(f_236,axiom,
equidistant(u,v,w,x),
file(unknown,unknown) ).
tff(f_235,axiom,
! [U,V,W,X] :
( ~ equidistant(U,V,W,X)
| equidistant(V,U,W,X) ),
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_46,plain,
~ equidistant(x,w,v,u),
inference(cnfTransformation,[status(thm)],[f_238]) ).
tff(c_44,plain,
equidistant(u,v,w,x),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_98,plain,
! [V_106,U_107,W_108,X_109] :
( equidistant(V_106,U_107,W_108,X_109)
| ~ equidistant(U_107,V_106,W_108,X_109) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_116,plain,
equidistant(v,u,w,x),
inference(resolution,[status(thm)],[c_44,c_98]) ).
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_140,plain,
equidistant(w,x,v,u),
inference(resolution,[status(thm)],[c_116,c_40]) ).
tff(c_42,plain,
! [V_79,U_78,W_80,X_81] :
( equidistant(V_79,U_78,W_80,X_81)
| ~ equidistant(U_78,V_79,W_80,X_81) ),
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_153,plain,
equidistant(x,w,v,u),
inference(resolution,[status(thm)],[c_140,c_42]) ).
tff(c_159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46,c_153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO021-3 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.11 % 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
% 0.10/0.31 % Computer : n031.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 7 19:18:52 EDT 2025
% 0.15/0.31 % CPUTime :
% 4.01/2.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.01/2.44
% 4.01/2.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------