%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO041-2 : 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/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 : n020.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 06:13:34 PM UTC 2025
% Result : Unsatisfiable 5.51s 2.32s
% Output : CNFRefutation 5.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 65 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 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 : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-6 aty)
% Number of variables : 73 ( 73 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > #nlpp > 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(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_225,axiom,
v != w,
file(unknown,unknown) ).
tff(f_222,axiom,
between(u,v,w),
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_71,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_75,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file(unknown,unknown) ).
tff(f_117,axiom,
! [W,U,X,Y,V] :
( ~ between(U,V,W)
| ~ between(Y,X,W)
| between(V,inner_pasch(U,V,W,X,Y),Y) ),
file(unknown,unknown) ).
tff(f_107,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| ( X = Y ) ),
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_223,axiom,
between(u,w,v),
file(unknown,unknown) ).
tff(c_42,plain,
w != v,
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_38,plain,
between(u,v,w),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_53,plain,
! [Y_83,X_84,W_85,V_86] : equidistant(Y_83,extension(X_84,Y_83,W_85,V_86),W_85,V_86),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_6,plain,
! [Y_10,X_9,Z_11] :
( ( Y_10 = X_9 )
| ~ equidistant(X_9,Y_10,Z_11,Z_11) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_59,plain,
! [X_87,Y_88,V_89] : ( extension(X_87,Y_88,V_89,V_89) = Y_88 ),
inference(resolution,[status(thm)],[c_53,c_6]) ).
tff(c_8,plain,
! [X_12,Y_13,W_14,V_15] : between(X_12,Y_13,extension(X_12,Y_13,W_14,V_15)),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_68,plain,
! [X_87,Y_88] : between(X_87,Y_88,Y_88),
inference(superposition,[status(thm),theory(equality)],[c_59,c_8]) ).
tff(c_97,plain,
! [V_104,Y_100,W_103,U_101,X_102] :
( between(V_104,inner_pasch(U_101,V_104,W_103,X_102,Y_100),Y_100)
| ~ between(Y_100,X_102,W_103)
| ~ between(U_101,V_104,W_103) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_14,plain,
! [Y_29,X_28] :
( ( Y_29 = X_28 )
| ~ between(X_28,Y_29,X_28) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_1196,plain,
! [U_316,Y_317,W_318,X_319] :
( ( inner_pasch(U_316,Y_317,W_318,X_319,Y_317) = Y_317 )
| ~ between(Y_317,X_319,W_318)
| ~ between(U_316,Y_317,W_318) ),
inference(resolution,[status(thm)],[c_97,c_14]) ).
tff(c_1226,plain,
! [U_322,X_323,Y_324] :
( ( inner_pasch(U_322,X_323,Y_324,Y_324,X_323) = X_323 )
| ~ between(U_322,X_323,Y_324) ),
inference(resolution,[status(thm)],[c_68,c_1196]) ).
tff(c_1252,plain,
inner_pasch(u,v,w,w,v) = v,
inference(resolution,[status(thm)],[c_38,c_1226]) ).
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_1257,plain,
( between(w,v,u)
| ~ between(v,w,w)
| ~ between(u,v,w) ),
inference(superposition,[status(thm),theory(equality)],[c_1252,c_18]) ).
tff(c_1264,plain,
between(w,v,u),
inference(demodulation,[status(thm),theory(equality)],[c_38,c_68,c_1257]) ).
tff(c_40,plain,
between(u,w,v),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_1253,plain,
inner_pasch(u,w,v,v,w) = w,
inference(resolution,[status(thm)],[c_40,c_1226]) ).
tff(c_1280,plain,
( between(v,w,u)
| ~ between(w,v,v)
| ~ between(u,w,v) ),
inference(superposition,[status(thm),theory(equality)],[c_1253,c_18]) ).
tff(c_1287,plain,
between(v,w,u),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_68,c_1280]) ).
tff(c_139,plain,
! [V_115,U_117,W_119,X_116,Y_118] :
( between(X_116,inner_pasch(U_117,V_115,W_119,X_116,Y_118),U_117)
| ~ between(Y_118,X_116,W_119)
| ~ between(U_117,V_115,W_119) ),
inference(cnfTransformation,[status(thm)],[f_126]) ).
tff(c_1345,plain,
! [U_329,V_330,W_331,Y_332] :
( ( inner_pasch(U_329,V_330,W_331,U_329,Y_332) = U_329 )
| ~ between(Y_332,U_329,W_331)
| ~ between(U_329,V_330,W_331) ),
inference(resolution,[status(thm)],[c_139,c_14]) ).
tff(c_1733,plain,
! [V_351] :
( ( inner_pasch(w,V_351,u,w,v) = w )
| ~ between(w,V_351,u) ),
inference(resolution,[status(thm)],[c_1287,c_1345]) ).
tff(c_1759,plain,
inner_pasch(w,v,u,w,v) = w,
inference(resolution,[status(thm)],[c_1264,c_1733]) ).
tff(c_16,plain,
! [U_31,X_32,Y_33,W_30,V_34] :
( between(V_34,inner_pasch(U_31,V_34,W_30,X_32,Y_33),Y_33)
| ~ between(Y_33,X_32,W_30)
| ~ between(U_31,V_34,W_30) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_1783,plain,
( between(v,w,v)
| ~ between(v,w,u)
| ~ between(w,v,u) ),
inference(superposition,[status(thm),theory(equality)],[c_1759,c_16]) ).
tff(c_1789,plain,
between(v,w,v),
inference(demodulation,[status(thm),theory(equality)],[c_1264,c_1287,c_1783]) ).
tff(c_1854,plain,
w = v,
inference(resolution,[status(thm)],[c_1789,c_14]) ).
tff(c_1869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42,c_1854]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO041-2 : TPTP v9.0.0. Released v1.0.0.
% 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
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 7 19:21:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 5.51/2.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.51/2.33
% 5.51/2.33 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------