%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO011-1 : TPTP v9.0.0. Bugfixed v2.5.0.
% 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 : n027.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 06:13:26 PM UTC 2025
% Result : Unsatisfiable 5.60s 2.29s
% Output : CNFRefutation 5.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 74 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 32 ~; 33 |; 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 : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-6 aty)
% Number of variables : 72 ( 72 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > colinear > between > continuous > outer_pasch > euclid2 > euclid1 > extension > #nlpp > 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(outer_pasch,type,
outer_pasch: ( $i * $i * $i * $i * $i ) > $i ).
tff(lower_dimension_point_2,type,
lower_dimension_point_2: $i ).
tff(colinear,type,
colinear: ( $i * $i * $i ) > $o ).
tff(equidistant,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(lower_dimension_point_3,type,
lower_dimension_point_3: $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(continuous,type,
continuous: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(f_170,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file(unknown,unknown) ).
tff(f_166,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file(unknown,unknown) ).
tff(f_86,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file(unknown,unknown) ).
tff(f_172,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file(unknown,unknown) ).
tff(f_168,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file(unknown,unknown) ).
tff(f_267,axiom,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file(unknown,unknown) ).
tff(f_249,axiom,
! [X,Y,Z] :
( ~ colinear(X,Y,Z)
| between(X,Y,Z)
| between(Y,X,Z)
| between(X,Z,Y) ),
file(unknown,unknown) ).
tff(f_102,axiom,
! [W,Z,X,Y,V] :
( ~ between(X,W,V)
| ~ between(Y,V,Z)
| between(X,outer_pasch(W,X,Y,Z,V),Y) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_110,axiom,
! [W,Z,X,Y,V] :
( ~ between(X,W,V)
| ~ between(Y,V,Z)
| between(Z,W,outer_pasch(W,X,Y,Z,V)) ),
file(unknown,unknown) ).
tff(c_32,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_64,plain,
! [Y_112,X_113,W_114,V_115] : equidistant(Y_112,extension(X_113,Y_112,W_114,V_115),W_114,V_115),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_10,plain,
! [Y_14,X_13,Z_15] :
( ( Y_14 = X_13 )
| ~ equidistant(X_13,Y_14,Z_15,Z_15) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_70,plain,
! [X_116,Y_117,V_118] : ( extension(X_116,Y_117,V_118,V_118) = Y_117 ),
inference(resolution,[status(thm)],[c_64,c_10]) ).
tff(c_26,plain,
! [X_55,Y_56,W_57,V_58] : between(X_55,Y_56,extension(X_55,Y_56,W_57,V_58)),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_79,plain,
! [X_116,Y_117] : between(X_116,Y_117,Y_117),
inference(superposition,[status(thm),theory(equality)],[c_70,c_26]) ).
tff(c_34,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_30,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(cnfTransformation,[status(thm)],[f_168]) ).
tff(c_50,plain,
colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(cnfTransformation,[status(thm)],[f_267]) ).
tff(c_136,plain,
! [X_142,Z_143,Y_144] :
( between(X_142,Z_143,Y_144)
| between(Y_144,X_142,Z_143)
| between(X_142,Y_144,Z_143)
| ~ colinear(X_142,Y_144,Z_143) ),
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_148,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
inference(resolution,[status(thm)],[c_50,c_136]) ).
tff(c_154,plain,
( between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3) ),
inference(negUnitSimplification,[status(thm)],[c_30,c_148]) ).
tff(c_169,plain,
between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3),
inference(splitLeft,[status(thm)],[c_154]) ).
tff(c_185,plain,
! [V_152,W_156,Z_155,X_153,Y_154] :
( between(X_153,outer_pasch(W_156,X_153,Y_154,Z_155,V_152),Y_154)
| ~ between(Y_154,V_152,Z_155)
| ~ between(X_153,W_156,V_152) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_2,plain,
! [Y_2,X_1] :
( ( Y_2 = X_1 )
| ~ between(X_1,Y_2,X_1) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_1083,plain,
! [W_341,Y_342,Z_343,V_344] :
( ( outer_pasch(W_341,Y_342,Y_342,Z_343,V_344) = Y_342 )
| ~ between(Y_342,V_344,Z_343)
| ~ between(Y_342,W_341,V_344) ),
inference(resolution,[status(thm)],[c_185,c_2]) ).
tff(c_1114,plain,
! [W_345] :
( ( outer_pasch(W_345,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) = lower_dimension_point_2 )
| ~ between(lower_dimension_point_2,W_345,lower_dimension_point_1) ),
inference(resolution,[status(thm)],[c_169,c_1083]) ).
tff(c_1131,plain,
outer_pasch(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) = lower_dimension_point_2,
inference(resolution,[status(thm)],[c_79,c_1114]) ).
tff(c_16,plain,
! [W_27,Z_28,X_29,V_31,Y_30] :
( between(Z_28,W_27,outer_pasch(W_27,X_29,Y_30,Z_28,V_31))
| ~ between(Y_30,V_31,Z_28)
| ~ between(X_29,W_27,V_31) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_1135,plain,
( between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)
| ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3)
| ~ between(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_1) ),
inference(superposition,[status(thm),theory(equality)],[c_1131,c_16]) ).
tff(c_1142,plain,
between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(demodulation,[status(thm),theory(equality)],[c_79,c_169,c_1135]) ).
tff(c_1144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34,c_1142]) ).
tff(c_1145,plain,
between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2),
inference(splitRight,[status(thm)],[c_154]) ).
tff(c_1147,plain,
! [W_350,Z_349,Y_348,X_347,V_346] :
( between(X_347,outer_pasch(W_350,X_347,Y_348,Z_349,V_346),Y_348)
| ~ between(Y_348,V_346,Z_349)
| ~ between(X_347,W_350,V_346) ),
inference(cnfTransformation,[status(thm)],[f_102]) ).
tff(c_2097,plain,
! [W_548,Y_549,Z_550,V_551] :
( ( outer_pasch(W_548,Y_549,Y_549,Z_550,V_551) = Y_549 )
| ~ between(Y_549,V_551,Z_550)
| ~ between(Y_549,W_548,V_551) ),
inference(resolution,[status(thm)],[c_1147,c_2]) ).
tff(c_2125,plain,
! [W_552] :
( ( outer_pasch(W_552,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) = lower_dimension_point_1 )
| ~ between(lower_dimension_point_1,W_552,lower_dimension_point_3) ),
inference(resolution,[status(thm)],[c_1145,c_2097]) ).
tff(c_2140,plain,
outer_pasch(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) = lower_dimension_point_1,
inference(resolution,[status(thm)],[c_79,c_2125]) ).
tff(c_2144,plain,
( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_2)
| ~ between(lower_dimension_point_1,lower_dimension_point_3,lower_dimension_point_3) ),
inference(superposition,[status(thm),theory(equality)],[c_2140,c_16]) ).
tff(c_2151,plain,
between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(demodulation,[status(thm),theory(equality)],[c_79,c_1145,c_2144]) ).
tff(c_2153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32,c_2151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO011-1 : TPTP v9.0.0. Bugfixed v2.5.0.
% 0.03/0.13 % 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
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 7 19:17:06 EDT 2025
% 0.12/0.34 % CPUTime :
% 5.60/2.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.95/2.30
% 5.95/2.30 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------