%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO059-2 : 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 : n017.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 06:13:38 PM UTC 2025
% Result : Unsatisfiable 4.61s 2.17s
% Output : CNFRefutation 4.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-6 aty)
% Number of variables : 72 ( 72 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > reflection > #nlpp > 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(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_245,axiom,
! [U,V] : ( reflection(U,V) = extension(U,V,U,V) ),
file(unknown,unknown) ).
tff(f_78,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X,Y] : equidistant(X,Y,Y,X),
file(unknown,unknown) ).
tff(f_65,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_249,axiom,
~ equidistant(v,u,v,reflection(reflection(u,v),v)),
file(unknown,unknown) ).
tff(c_38,plain,
! [U_72,V_73] : ( extension(U_72,V_73,U_72,V_73) = reflection(U_72,V_73) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_64,plain,
! [Y_89,X_90,W_91,V_92] : equidistant(Y_89,extension(X_90,Y_89,W_91,V_92),W_91,V_92),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_71,plain,
! [V_73,U_72] : equidistant(V_73,reflection(U_72,V_73),U_72,V_73),
inference(superposition,[status(thm),theory(equality)],[c_38,c_64]) ).
tff(c_2,plain,
! [X_1,Y_2] : equidistant(X_1,Y_2,Y_2,X_1),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_134,plain,
! [V_103,X_108,W_107,Y_106,Z_105,V2_104] :
( equidistant(Z_105,V_103,V2_104,W_107)
| ~ equidistant(X_108,Y_106,V2_104,W_107)
| ~ equidistant(X_108,Y_106,Z_105,V_103) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_147,plain,
! [Z_109,V_110,Y_111,X_112] :
( equidistant(Z_109,V_110,Y_111,X_112)
| ~ equidistant(X_112,Y_111,Z_109,V_110) ),
inference(resolution,[status(thm)],[c_2,c_134]) ).
tff(c_181,plain,
! [U_120,V_121] : equidistant(U_120,V_121,reflection(U_120,V_121),V_121),
inference(resolution,[status(thm)],[c_71,c_147]) ).
tff(c_146,plain,
! [Z_105,V_103,Y_2,X_1] :
( equidistant(Z_105,V_103,Y_2,X_1)
| ~ equidistant(X_1,Y_2,Z_105,V_103) ),
inference(resolution,[status(thm)],[c_2,c_134]) ).
tff(c_189,plain,
! [U_120,V_121] : equidistant(reflection(U_120,V_121),V_121,V_121,U_120),
inference(resolution,[status(thm)],[c_181,c_146]) ).
tff(c_167,plain,
! [Y_118,X_119] : equidistant(Y_118,X_119,Y_118,X_119),
inference(resolution,[status(thm)],[c_2,c_147]) ).
tff(c_4,plain,
! [V2_8,V_7,Z_4,Y_6,W_3,X_5] :
( equidistant(Z_4,V_7,V2_8,W_3)
| ~ equidistant(X_5,Y_6,V2_8,W_3)
| ~ equidistant(X_5,Y_6,Z_4,V_7) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_279,plain,
! [Z_143,V_144,Y_145,X_146] :
( equidistant(Z_143,V_144,Y_145,X_146)
| ~ equidistant(Y_145,X_146,Z_143,V_144) ),
inference(resolution,[status(thm)],[c_167,c_4]) ).
tff(c_306,plain,
! [V_121,U_120] : equidistant(V_121,U_120,reflection(U_120,V_121),V_121),
inference(resolution,[status(thm)],[c_189,c_279]) ).
tff(c_586,plain,
! [Z_196,V_197,U_198,V_199] :
( equidistant(Z_196,V_197,U_198,V_199)
| ~ equidistant(V_199,reflection(U_198,V_199),Z_196,V_197) ),
inference(resolution,[status(thm)],[c_71,c_134]) ).
tff(c_652,plain,
! [U_200,V_201] : equidistant(reflection(reflection(U_200,V_201),V_201),V_201,U_200,V_201),
inference(resolution,[status(thm)],[c_306,c_586]) ).
tff(c_178,plain,
! [Z_4,V_7,Y_118,X_119] :
( equidistant(Z_4,V_7,Y_118,X_119)
| ~ equidistant(Y_118,X_119,Z_4,V_7) ),
inference(resolution,[status(thm)],[c_167,c_4]) ).
tff(c_763,plain,
! [U_209,V_210] : equidistant(U_209,V_210,reflection(reflection(U_209,V_210),V_210),V_210),
inference(resolution,[status(thm)],[c_652,c_178]) ).
tff(c_826,plain,
! [U_213,V_214] : equidistant(reflection(reflection(U_213,V_214),V_214),V_214,V_214,U_213),
inference(resolution,[status(thm)],[c_763,c_146]) ).
tff(c_841,plain,
! [V_214,U_213] : equidistant(V_214,U_213,V_214,reflection(reflection(U_213,V_214),V_214)),
inference(resolution,[status(thm)],[c_826,c_146]) ).
tff(c_40,plain,
~ equidistant(v,u,v,reflection(reflection(u,v),v)),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_904,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_841,c_40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO059-2 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % 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 : n017.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 : Mon Apr 7 19:23:55 EDT 2025
% 0.13/0.35 % CPUTime :
% 4.61/2.17 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.61/2.18
% 4.61/2.18 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------