%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO037-3 : 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/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 06:13:33 PM UTC 2025
% Result : Unsatisfiable 24.45s 12.02s
% Output : CNFRefutation 24.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 21 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 13 ( 13 usr; 7 con; 0-6 aty)
% Number of variables : 65 ( 65 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > extension > reflection > #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(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_473,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
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_279,axiom,
! [U,V,W,X] :
( ~ equidistant(U,V,W,X)
| equidistant(X,W,U,V) ),
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_299,axiom,
! [W,U,X,Y,V] :
( ( Y != extension(U,V,W,X) )
| between(U,V,Y) ),
file(unknown,unknown) ).
tff(f_484,axiom,
( ( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) )
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
file(unknown,unknown) ).
tff(f_284,axiom,
! [U,V,W,X] :
( ~ equidistant(U,V,W,X)
| equidistant(X,W,V,U) ),
file(unknown,unknown) ).
tff(f_71,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(c_116,plain,
lower_dimension_point_2 != lower_dimension_point_1,
inference(cnfTransformation,[status(thm)],[f_473]) ).
tff(c_10,plain,
! [Y_16,X_17,W_18,V_19] : equidistant(Y_16,extension(X_17,Y_16,W_18,V_19),W_18,V_19),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_376,plain,
! [X_258,W_259,U_260,V_261] :
( equidistant(X_258,W_259,U_260,V_261)
| ~ equidistant(U_260,V_261,W_259,X_258) ),
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_393,plain,
! [V_19,W_18,Y_16,X_17] : equidistant(V_19,W_18,Y_16,extension(X_17,Y_16,W_18,V_19)),
inference(resolution,[status(thm)],[c_10,c_376]) ).
tff(c_1997,plain,
! [V2_409,Z_410,V_408,X_413,Y_411,W_412] :
( equidistant(Z_410,V_408,V2_409,W_412)
| ~ equidistant(X_413,Y_411,V2_409,W_412)
| ~ equidistant(X_413,Y_411,Z_410,V_408) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_71310,plain,
! [Z_2267,Y_2264,W_2265,V_2263,X_2266,V_2262] :
( equidistant(Z_2267,V_2263,Y_2264,extension(X_2266,Y_2264,W_2265,V_2262))
| ~ equidistant(V_2262,W_2265,Z_2267,V_2263) ),
inference(resolution,[status(thm)],[c_393,c_1997]) ).
tff(c_60,plain,
! [U_114,V_117,W_113,X_115] : between(U_114,V_117,extension(U_114,V_117,W_113,X_115)),
inference(cnfTransformation,[status(thm)],[f_299]) ).
tff(c_122,plain,
( ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ( extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v ) ),
inference(cnfTransformation,[status(thm)],[f_484]) ).
tff(c_126,plain,
( ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
| ( extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60,c_122]) ).
tff(c_3379,plain,
~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)),
inference(splitLeft,[status(thm)],[c_126]) ).
tff(c_71441,plain,
~ equidistant(lower_dimension_point_2,lower_dimension_point_1,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)),
inference(resolution,[status(thm)],[c_71310,c_3379]) ).
tff(c_71555,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_393,c_71441]) ).
tff(c_71556,plain,
extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = v,
inference(splitRight,[status(thm)],[c_126]) ).
tff(c_873,plain,
! [X_313,W_314,V_315,U_316] :
( equidistant(X_313,W_314,V_315,U_316)
| ~ equidistant(U_316,V_315,W_314,X_313) ),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_934,plain,
! [V_19,W_18,X_17,Y_16] : equidistant(V_19,W_18,extension(X_17,Y_16,W_18,V_19),Y_16),
inference(resolution,[status(thm)],[c_10,c_873]) ).
tff(c_71567,plain,
equidistant(lower_dimension_point_2,lower_dimension_point_1,v,v),
inference(superposition,[status(thm),theory(equality)],[c_71556,c_934]) ).
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_71659,plain,
lower_dimension_point_2 = lower_dimension_point_1,
inference(resolution,[status(thm)],[c_71567,c_6]) ).
tff(c_71678,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116,c_71659]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO037-3 : TPTP v9.0.0. Released v1.0.0.
% 0.06/0.13 % 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
% 0.12/0.33 % Computer : n017.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
% 0.12/0.34 % DateTime : Mon Apr 7 19:21:10 EDT 2025
% 0.12/0.34 % CPUTime :
% 24.45/12.02 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.45/12.02
% 24.45/12.02 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------