%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO006-2 : 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 : n013.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 06:13:25 PM UTC 2025
% Result : Unsatisfiable 6.37s 2.65s
% Output : CNFRefutation 6.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 85 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 74 ( 38 ~; 36 |; 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 : 77 ( 77 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > #nlpp > lower_dimension_point_3 > lower_dimension_point_2 > lower_dimension_point_1 > d > c > a
%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(a,type,
a: $i ).
tff(lower_dimension_point_2,type,
lower_dimension_point_2: $i ).
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(d,type,
d: $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(c,type,
c: $i ).
tff(f_230,axiom,
c != d,
file(unknown,unknown) ).
tff(f_81,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file(unknown,unknown) ).
tff(f_74,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_78,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file(unknown,unknown) ).
tff(f_231,axiom,
between(a,c,d),
file(unknown,unknown) ).
tff(f_129,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_110,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_120,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_226,axiom,
a != c,
file(unknown,unknown) ).
tff(f_234,axiom,
( between(c,a,d)
| between(a,d,c) ),
file(unknown,unknown) ).
tff(c_42,plain,
d != c,
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_1003,plain,
! [Y_303,X_304,W_305,V_306] : equidistant(Y_303,extension(X_304,Y_303,W_305,V_306),W_305,V_306),
inference(cnfTransformation,[status(thm)],[f_81]) ).
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_74]) ).
tff(c_1009,plain,
! [X_307,Y_308,V_309] : ( extension(X_307,Y_308,V_309,V_309) = Y_308 ),
inference(resolution,[status(thm)],[c_1003,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_78]) ).
tff(c_1018,plain,
! [X_307,Y_308] : between(X_307,Y_308,Y_308),
inference(superposition,[status(thm),theory(equality)],[c_1009,c_8]) ).
tff(c_44,plain,
between(a,c,d),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_1072,plain,
! [U_328,X_327,V_326,W_330,Y_329] :
( between(X_327,inner_pasch(U_328,V_326,W_330,X_327,Y_329),U_328)
| ~ between(Y_329,X_327,W_330)
| ~ between(U_328,V_326,W_330) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_14,plain,
! [Y_29,X_28] :
( ( Y_29 = X_28 )
| ~ between(X_28,Y_29,X_28) ),
inference(cnfTransformation,[status(thm)],[f_110]) ).
tff(c_2033,plain,
! [U_526,V_527,W_528,Y_529] :
( ( inner_pasch(U_526,V_527,W_528,U_526,Y_529) = U_526 )
| ~ between(Y_529,U_526,W_528)
| ~ between(U_526,V_527,W_528) ),
inference(resolution,[status(thm)],[c_1072,c_14]) ).
tff(c_2097,plain,
! [V_531] :
( ( inner_pasch(c,V_531,d,c,a) = c )
| ~ between(c,V_531,d) ),
inference(resolution,[status(thm)],[c_44,c_2033]) ).
tff(c_2112,plain,
inner_pasch(c,d,d,c,a) = c,
inference(resolution,[status(thm)],[c_1018,c_2097]) ).
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_120]) ).
tff(c_2116,plain,
( between(d,c,a)
| ~ between(a,c,d)
| ~ between(c,d,d) ),
inference(superposition,[status(thm),theory(equality)],[c_2112,c_16]) ).
tff(c_2123,plain,
between(d,c,a),
inference(demodulation,[status(thm),theory(equality)],[c_1018,c_44,c_2116]) ).
tff(c_38,plain,
c != a,
inference(cnfTransformation,[status(thm)],[f_226]) ).
tff(c_46,plain,
( between(a,d,c)
| between(c,a,d) ),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_56,plain,
between(c,a,d),
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_198,plain,
! [U_128,Y_127,V_131,W_130,X_129] :
( between(V_131,inner_pasch(U_128,V_131,W_130,X_129,Y_127),Y_127)
| ~ between(Y_127,X_129,W_130)
| ~ between(U_128,V_131,W_130) ),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_938,plain,
! [U_294,Y_295,W_296,X_297] :
( ( inner_pasch(U_294,Y_295,W_296,X_297,Y_295) = Y_295 )
| ~ between(Y_295,X_297,W_296)
| ~ between(U_294,Y_295,W_296) ),
inference(resolution,[status(thm)],[c_198,c_14]) ).
tff(c_966,plain,
! [U_298] :
( ( inner_pasch(U_298,a,d,c,a) = a )
| ~ between(U_298,a,d) ),
inference(resolution,[status(thm)],[c_44,c_938]) ).
tff(c_970,plain,
inner_pasch(c,a,d,c,a) = a,
inference(resolution,[status(thm)],[c_56,c_966]) ).
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_129]) ).
tff(c_977,plain,
( between(c,a,c)
| ~ between(a,c,d)
| ~ between(c,a,d) ),
inference(superposition,[status(thm),theory(equality)],[c_970,c_18]) ).
tff(c_983,plain,
between(c,a,c),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_44,c_977]) ).
tff(c_991,plain,
c = a,
inference(resolution,[status(thm)],[c_983,c_14]) ).
tff(c_999,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38,c_991]) ).
tff(c_1000,plain,
between(a,d,c),
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_2061,plain,
! [V_530] :
( ( inner_pasch(d,V_530,c,d,a) = d )
| ~ between(d,V_530,c) ),
inference(resolution,[status(thm)],[c_1000,c_2033]) ).
tff(c_2076,plain,
inner_pasch(d,c,c,d,a) = d,
inference(resolution,[status(thm)],[c_1018,c_2061]) ).
tff(c_2080,plain,
( between(c,d,a)
| ~ between(a,d,c)
| ~ between(d,c,c) ),
inference(superposition,[status(thm),theory(equality)],[c_2076,c_16]) ).
tff(c_2087,plain,
between(c,d,a),
inference(demodulation,[status(thm),theory(equality)],[c_1018,c_1000,c_2080]) ).
tff(c_1077,plain,
! [U_328,V_326,W_330,Y_329] :
( ( inner_pasch(U_328,V_326,W_330,U_328,Y_329) = U_328 )
| ~ between(Y_329,U_328,W_330)
| ~ between(U_328,V_326,W_330) ),
inference(resolution,[status(thm)],[c_1072,c_14]) ).
tff(c_2526,plain,
! [V_562] :
( ( inner_pasch(d,V_562,a,d,c) = d )
| ~ between(d,V_562,a) ),
inference(resolution,[status(thm)],[c_2087,c_1077]) ).
tff(c_2552,plain,
inner_pasch(d,c,a,d,c) = d,
inference(resolution,[status(thm)],[c_2123,c_2526]) ).
tff(c_2573,plain,
( between(c,d,c)
| ~ between(c,d,a)
| ~ between(d,c,a) ),
inference(superposition,[status(thm),theory(equality)],[c_2552,c_16]) ).
tff(c_2580,plain,
between(c,d,c),
inference(demodulation,[status(thm),theory(equality)],[c_2123,c_2087,c_2573]) ).
tff(c_2596,plain,
d = c,
inference(resolution,[status(thm)],[c_2580,c_14]) ).
tff(c_2607,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42,c_2596]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO006-2 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.13 % 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 : n013.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 19:16:02 EDT 2025
% 0.13/0.34 % CPUTime :
% 6.37/2.65 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.37/2.66
% 6.37/2.66 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------