%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO052-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% 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 : n015.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 06:13:36 PM UTC 2025
% Result : Unsatisfiable 12.35s 4.01s
% Output : CNFRefutation 12.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 43 ( 21 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-6 aty)
% Number of variables : 32 ( 32 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > between > continuous > inner_pasch > euclid2 > euclid1 > insertion > 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(insertion,type,
insertion: ( $i * $i * $i * $i ) > $i ).
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_696,axiom,
~ between(w,v,x),
file(unknown,unknown) ).
tff(f_694,axiom,
~ between(v,w,x),
file(unknown,unknown) ).
tff(f_410,axiom,
! [U,V] : between(U,U,V),
file(unknown,unknown) ).
tff(f_691,axiom,
between(u,v,x),
file(unknown,unknown) ).
tff(f_490,axiom,
! [U,V,X,W] :
( ~ between(U,V,X)
| ~ between(V,W,X)
| between(U,W,X) ),
file(unknown,unknown) ).
tff(f_692,axiom,
between(u,w,x),
file(unknown,unknown) ).
tff(f_690,axiom,
! [U,V,X,W] :
( ~ between(U,V,X)
| ~ between(U,W,X)
| between(U,V,W)
| between(U,W,V) ),
file(unknown,unknown) ).
tff(f_462,axiom,
! [U,V,W,X] :
( ~ between(U,V,W)
| ~ between(U,W,X)
| between(V,W,X) ),
file(unknown,unknown) ).
tff(c_168,plain,
~ between(w,v,x),
inference(cnfTransformation,[status(thm)],[f_696]) ).
tff(c_166,plain,
~ between(v,w,x),
inference(cnfTransformation,[status(thm)],[f_694]) ).
tff(c_96,plain,
! [U_167,V_168] : between(U_167,U_167,V_168),
inference(cnfTransformation,[status(thm)],[f_410]) ).
tff(c_162,plain,
between(u,v,x),
inference(cnfTransformation,[status(thm)],[f_691]) ).
tff(c_1414,plain,
! [U_435,W_436,X_437,V_438] :
( between(U_435,W_436,X_437)
| ~ between(V_438,W_436,X_437)
| ~ between(U_435,V_438,X_437) ),
inference(cnfTransformation,[status(thm)],[f_490]) ).
tff(c_1445,plain,
! [U_435] :
( between(U_435,v,x)
| ~ between(U_435,u,x) ),
inference(resolution,[status(thm)],[c_162,c_1414]) ).
tff(c_164,plain,
between(u,w,x),
inference(cnfTransformation,[status(thm)],[f_692]) ).
tff(c_2899,plain,
! [U_514,W_515,V_516,X_517] :
( between(U_514,W_515,V_516)
| between(U_514,V_516,W_515)
| ~ between(U_514,W_515,X_517)
| ~ between(U_514,V_516,X_517) ),
inference(cnfTransformation,[status(thm)],[f_690]) ).
tff(c_11209,plain,
! [V_807] :
( between(u,w,V_807)
| between(u,V_807,w)
| ~ between(u,V_807,x) ),
inference(resolution,[status(thm)],[c_164,c_2899]) ).
tff(c_11243,plain,
( between(u,w,v)
| between(u,v,w)
| ~ between(u,u,x) ),
inference(resolution,[status(thm)],[c_1445,c_11209]) ).
tff(c_11277,plain,
( between(u,w,v)
| between(u,v,w) ),
inference(demodulation,[status(thm),theory(equality)],[c_96,c_11243]) ).
tff(c_11286,plain,
between(u,v,w),
inference(splitLeft,[status(thm)],[c_11277]) ).
tff(c_1448,plain,
! [V_439,W_440,X_441,U_442] :
( between(V_439,W_440,X_441)
| ~ between(U_442,W_440,X_441)
| ~ between(U_442,V_439,W_440) ),
inference(cnfTransformation,[status(thm)],[f_462]) ).
tff(c_1477,plain,
! [V_439] :
( between(V_439,w,x)
| ~ between(u,V_439,w) ),
inference(resolution,[status(thm)],[c_164,c_1448]) ).
tff(c_11312,plain,
between(v,w,x),
inference(resolution,[status(thm)],[c_11286,c_1477]) ).
tff(c_11350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166,c_11312]) ).
tff(c_11351,plain,
between(u,w,v),
inference(splitRight,[status(thm)],[c_11277]) ).
tff(c_1479,plain,
! [V_439] :
( between(V_439,v,x)
| ~ between(u,V_439,v) ),
inference(resolution,[status(thm)],[c_162,c_1448]) ).
tff(c_11378,plain,
between(w,v,x),
inference(resolution,[status(thm)],[c_11351,c_1479]) ).
tff(c_11416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_168,c_11378]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO052-3 : TPTP v9.0.0. Bugfixed v1.2.1.
% 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
% 0.13/0.34 % Computer : n015.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 19:23:05 EDT 2025
% 0.13/0.34 % CPUTime :
% 12.35/4.01 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.35/4.01
% 12.35/4.01 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------