TSTP Solution File: GEO010-2 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO010-2 : TPTP v8.1.2. 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 : n031.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 : Tue Aug 22 10:37:52 EDT 2023
% Result : Unsatisfiable 7.55s 2.88s
% Output : CNFRefutation 8.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 26
% Syntax : Number of formulae : 219 ( 146 unt; 14 typ; 0 def)
% Number of atoms : 307 ( 14 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 287 ( 185 ~; 102 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 35 ( 8 >; 27 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-6 aty)
% Number of variables : 107 (; 107 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ equidistant > colinear > between > continuous > inner_pasch > euclid2 > euclid1 > extension > #nlpp > lower_dimension_point_3 > lower_dimension_point_2 > lower_dimension_point_1 > c > b > 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(colinear,type,
colinear: ( $i * $i * $i ) > $o ).
tff(equidistant,type,
equidistant: ( $i * $i * $i * $i ) > $o ).
tff(b,type,
b: $i ).
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(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_275,axiom,
colinear(a,b,c),
file(unknown,unknown) ).
tff(f_272,axiom,
! [X,Y,Z] :
( ~ colinear(X,Y,Z)
| between(X,Y,Z)
| between(Y,Z,X)
| between(Z,X,Y) ),
file(unknown,unknown) ).
tff(f_263,axiom,
! [Z,X,Y] :
( ~ between(Z,X,Y)
| colinear(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_258,axiom,
! [Y,Z,X] :
( ~ between(Y,Z,X)
| colinear(X,Y,Z) ),
file(unknown,unknown) ).
tff(f_289,axiom,
( ~ colinear(a,c,b)
| ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
file(unknown,unknown) ).
tff(f_80,axiom,
! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
file(unknown,unknown) ).
tff(f_73,axiom,
! [X,Y,Z] :
( ~ equidistant(X,Y,Z,Z)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
file(unknown,unknown) ).
tff(f_128,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_109,axiom,
! [X,Y] :
( ~ between(X,Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_119,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_253,axiom,
! [X,Y,Z] :
( ~ between(X,Y,Z)
| colinear(X,Y,Z) ),
file(unknown,unknown) ).
tff(c_46,plain,
colinear(a,b,c),
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_142,plain,
! [Z_131,X_132,Y_133] :
( between(Z_131,X_132,Y_133)
| between(Y_133,Z_131,X_132)
| between(X_132,Y_133,Z_131)
| ~ colinear(X_132,Y_133,Z_131) ),
inference(cnfTransformation,[status(thm)],[f_272]) ).
tff(c_158,plain,
( between(c,a,b)
| between(b,c,a)
| between(a,b,c) ),
inference(resolution,[status(thm)],[c_46,c_142]) ).
tff(c_336,plain,
between(a,b,c),
inference(splitLeft,[status(thm)],[c_158]) ).
tff(c_42,plain,
! [X_79,Y_80,Z_78] :
( colinear(X_79,Y_80,Z_78)
| ~ between(Z_78,X_79,Y_80) ),
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_40,plain,
! [X_77,Y_75,Z_76] :
( colinear(X_77,Y_75,Z_76)
| ~ between(Y_75,Z_76,X_77) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_48,plain,
( ~ colinear(c,b,a)
| ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c)
| ~ colinear(a,c,b) ),
inference(cnfTransformation,[status(thm)],[f_289]) ).
tff(c_546,plain,
~ colinear(a,c,b),
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_556,plain,
~ between(c,b,a),
inference(resolution,[status(thm)],[c_40,c_546]) ).
tff(c_62,plain,
! [Y_104,X_105,W_106,V_107] : equidistant(Y_104,extension(X_105,Y_104,W_106,V_107),W_106,V_107),
inference(cnfTransformation,[status(thm)],[f_80]) ).
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_73]) ).
tff(c_68,plain,
! [X_108,Y_109,V_110] : ( extension(X_108,Y_109,V_110,V_110) = Y_109 ),
inference(resolution,[status(thm)],[c_62,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_77]) ).
tff(c_77,plain,
! [X_108,Y_109] : between(X_108,Y_109,Y_109),
inference(superposition,[status(thm),theory(equality)],[c_68,c_8]) ).
tff(c_258,plain,
! [X_155,U_156,W_158,Y_157,V_154] :
( between(X_155,inner_pasch(U_156,V_154,W_158,X_155,Y_157),U_156)
| ~ between(Y_157,X_155,W_158)
| ~ between(U_156,V_154,W_158) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_14,plain,
! [Y_29,X_28] :
( ( Y_29 = X_28 )
| ~ between(X_28,Y_29,X_28) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_1233,plain,
! [U_340,V_341,W_342,Y_343] :
( ( inner_pasch(U_340,V_341,W_342,U_340,Y_343) = U_340 )
| ~ between(Y_343,U_340,W_342)
| ~ between(U_340,V_341,W_342) ),
inference(resolution,[status(thm)],[c_258,c_14]) ).
tff(c_1258,plain,
! [V_344] :
( ( inner_pasch(b,V_344,c,b,a) = b )
| ~ between(b,V_344,c) ),
inference(resolution,[status(thm)],[c_336,c_1233]) ).
tff(c_1273,plain,
inner_pasch(b,c,c,b,a) = b,
inference(resolution,[status(thm)],[c_77,c_1258]) ).
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_119]) ).
tff(c_1277,plain,
( between(c,b,a)
| ~ between(a,b,c)
| ~ between(b,c,c) ),
inference(superposition,[status(thm),theory(equality)],[c_1273,c_16]) ).
tff(c_1284,plain,
between(c,b,a),
inference(demodulation,[status(thm),theory(equality)],[c_77,c_336,c_1277]) ).
tff(c_1286,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_556,c_1284]) ).
tff(c_1288,plain,
colinear(a,c,b),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_44,plain,
! [Z_83,X_81,Y_82] :
( between(Z_83,X_81,Y_82)
| between(Y_82,Z_83,X_81)
| between(X_81,Y_82,Z_83)
| ~ colinear(X_81,Y_82,Z_83) ),
inference(cnfTransformation,[status(thm)],[f_272]) ).
tff(c_1292,plain,
( between(b,a,c)
| between(c,b,a)
| between(a,c,b) ),
inference(resolution,[status(thm)],[c_1288,c_44]) ).
tff(c_1294,plain,
between(a,c,b),
inference(splitLeft,[status(thm)],[c_1292]) ).
tff(c_1287,plain,
( ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_1346,plain,
~ colinear(c,b,a),
inference(splitLeft,[status(thm)],[c_1287]) ).
tff(c_1355,plain,
~ between(a,c,b),
inference(resolution,[status(thm)],[c_42,c_1346]) ).
tff(c_1361,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1294,c_1355]) ).
tff(c_1362,plain,
( ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c) ),
inference(splitRight,[status(thm)],[c_1287]) ).
tff(c_1369,plain,
~ colinear(b,a,c),
inference(splitLeft,[status(thm)],[c_1362]) ).
tff(c_1416,plain,
~ between(a,c,b),
inference(resolution,[status(thm)],[c_40,c_1369]) ).
tff(c_1426,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1294,c_1416]) ).
tff(c_1427,plain,
( ~ colinear(b,c,a)
| ~ colinear(c,a,b) ),
inference(splitRight,[status(thm)],[c_1362]) ).
tff(c_1434,plain,
~ colinear(c,a,b),
inference(splitLeft,[status(thm)],[c_1427]) ).
tff(c_1437,plain,
~ between(a,b,c),
inference(resolution,[status(thm)],[c_40,c_1434]) ).
tff(c_1447,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_336,c_1437]) ).
tff(c_1448,plain,
~ colinear(b,c,a),
inference(splitRight,[status(thm)],[c_1427]) ).
tff(c_1463,plain,
~ between(a,b,c),
inference(resolution,[status(thm)],[c_42,c_1448]) ).
tff(c_1469,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_336,c_1463]) ).
tff(c_1470,plain,
( between(c,b,a)
| between(b,a,c) ),
inference(splitRight,[status(thm)],[c_1292]) ).
tff(c_1472,plain,
between(b,a,c),
inference(splitLeft,[status(thm)],[c_1470]) ).
tff(c_38,plain,
! [X_72,Y_73,Z_74] :
( colinear(X_72,Y_73,Z_74)
| ~ between(X_72,Y_73,Z_74) ),
inference(cnfTransformation,[status(thm)],[f_253]) ).
tff(c_1628,plain,
~ colinear(c,b,a),
inference(splitLeft,[status(thm)],[c_1287]) ).
tff(c_1631,plain,
~ between(b,a,c),
inference(resolution,[status(thm)],[c_40,c_1628]) ).
tff(c_1641,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1472,c_1631]) ).
tff(c_1642,plain,
( ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c) ),
inference(splitRight,[status(thm)],[c_1287]) ).
tff(c_1650,plain,
~ colinear(b,a,c),
inference(splitLeft,[status(thm)],[c_1642]) ).
tff(c_1678,plain,
~ between(b,a,c),
inference(resolution,[status(thm)],[c_38,c_1650]) ).
tff(c_1686,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1472,c_1678]) ).
tff(c_1687,plain,
( ~ colinear(b,c,a)
| ~ colinear(c,a,b) ),
inference(splitRight,[status(thm)],[c_1642]) ).
tff(c_1695,plain,
~ colinear(c,a,b),
inference(splitLeft,[status(thm)],[c_1687]) ).
tff(c_1698,plain,
~ between(a,b,c),
inference(resolution,[status(thm)],[c_40,c_1695]) ).
tff(c_1708,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_336,c_1698]) ).
tff(c_1709,plain,
~ colinear(b,c,a),
inference(splitRight,[status(thm)],[c_1687]) ).
tff(c_1724,plain,
~ between(a,b,c),
inference(resolution,[status(thm)],[c_42,c_1709]) ).
tff(c_1730,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_336,c_1724]) ).
tff(c_1731,plain,
between(c,b,a),
inference(splitRight,[status(thm)],[c_1470]) ).
tff(c_1889,plain,
~ colinear(c,b,a),
inference(splitLeft,[status(thm)],[c_1287]) ).
tff(c_1895,plain,
~ between(c,b,a),
inference(resolution,[status(thm)],[c_38,c_1889]) ).
tff(c_1903,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1731,c_1895]) ).
tff(c_1904,plain,
( ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c) ),
inference(splitRight,[status(thm)],[c_1287]) ).
tff(c_1912,plain,
~ colinear(b,a,c),
inference(splitLeft,[status(thm)],[c_1904]) ).
tff(c_1943,plain,
~ between(c,b,a),
inference(resolution,[status(thm)],[c_42,c_1912]) ).
tff(c_1949,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1731,c_1943]) ).
tff(c_1950,plain,
( ~ colinear(b,c,a)
| ~ colinear(c,a,b) ),
inference(splitRight,[status(thm)],[c_1904]) ).
tff(c_1958,plain,
~ colinear(c,a,b),
inference(splitLeft,[status(thm)],[c_1950]) ).
tff(c_1961,plain,
~ between(a,b,c),
inference(resolution,[status(thm)],[c_40,c_1958]) ).
tff(c_1971,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_336,c_1961]) ).
tff(c_1972,plain,
~ colinear(b,c,a),
inference(splitRight,[status(thm)],[c_1950]) ).
tff(c_1982,plain,
~ between(a,b,c),
inference(resolution,[status(thm)],[c_42,c_1972]) ).
tff(c_1988,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_336,c_1982]) ).
tff(c_1989,plain,
( between(b,c,a)
| between(c,a,b) ),
inference(splitRight,[status(thm)],[c_158]) ).
tff(c_1992,plain,
between(c,a,b),
inference(splitLeft,[status(thm)],[c_1989]) ).
tff(c_2129,plain,
~ colinear(a,c,b),
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_2141,plain,
~ between(b,a,c),
inference(resolution,[status(thm)],[c_42,c_2129]) ).
tff(c_306,plain,
! [Y_167,W_170,U_168,X_169,V_171] :
( between(V_171,inner_pasch(U_168,V_171,W_170,X_169,Y_167),Y_167)
| ~ between(Y_167,X_169,W_170)
| ~ between(U_168,V_171,W_170) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_2655,plain,
! [U_588,Y_589,W_590,X_591] :
( ( inner_pasch(U_588,Y_589,W_590,X_591,Y_589) = Y_589 )
| ~ between(Y_589,X_591,W_590)
| ~ between(U_588,Y_589,W_590) ),
inference(resolution,[status(thm)],[c_306,c_14]) ).
tff(c_2681,plain,
! [U_593,X_594,Y_595] :
( ( inner_pasch(U_593,X_594,Y_595,Y_595,X_594) = X_594 )
| ~ between(U_593,X_594,Y_595) ),
inference(resolution,[status(thm)],[c_77,c_2655]) ).
tff(c_2700,plain,
inner_pasch(c,a,b,b,a) = a,
inference(resolution,[status(thm)],[c_1992,c_2681]) ).
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_128]) ).
tff(c_2872,plain,
( between(b,a,c)
| ~ between(a,b,b)
| ~ between(c,a,b) ),
inference(superposition,[status(thm),theory(equality)],[c_2700,c_18]) ).
tff(c_2878,plain,
between(b,a,c),
inference(demodulation,[status(thm),theory(equality)],[c_1992,c_77,c_2872]) ).
tff(c_2880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2141,c_2878]) ).
tff(c_2882,plain,
colinear(a,c,b),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_2886,plain,
( between(b,a,c)
| between(c,b,a)
| between(a,c,b) ),
inference(resolution,[status(thm)],[c_2882,c_44]) ).
tff(c_2887,plain,
between(a,c,b),
inference(splitLeft,[status(thm)],[c_2886]) ).
tff(c_2881,plain,
( ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_2888,plain,
~ colinear(c,b,a),
inference(splitLeft,[status(thm)],[c_2881]) ).
tff(c_2897,plain,
~ between(a,c,b),
inference(resolution,[status(thm)],[c_42,c_2888]) ).
tff(c_2903,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2887,c_2897]) ).
tff(c_2904,plain,
( ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c) ),
inference(splitRight,[status(thm)],[c_2881]) ).
tff(c_2911,plain,
~ colinear(b,a,c),
inference(splitLeft,[status(thm)],[c_2904]) ).
tff(c_2915,plain,
~ between(a,c,b),
inference(resolution,[status(thm)],[c_40,c_2911]) ).
tff(c_2925,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2887,c_2915]) ).
tff(c_2926,plain,
( ~ colinear(b,c,a)
| ~ colinear(c,a,b) ),
inference(splitRight,[status(thm)],[c_2904]) ).
tff(c_2933,plain,
~ colinear(c,a,b),
inference(splitLeft,[status(thm)],[c_2926]) ).
tff(c_2939,plain,
~ between(c,a,b),
inference(resolution,[status(thm)],[c_38,c_2933]) ).
tff(c_2947,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1992,c_2939]) ).
tff(c_2948,plain,
~ colinear(b,c,a),
inference(splitRight,[status(thm)],[c_2926]) ).
tff(c_2958,plain,
~ between(c,a,b),
inference(resolution,[status(thm)],[c_40,c_2948]) ).
tff(c_2968,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1992,c_2958]) ).
tff(c_2969,plain,
( between(c,b,a)
| between(b,a,c) ),
inference(splitRight,[status(thm)],[c_2886]) ).
tff(c_2971,plain,
between(b,a,c),
inference(splitLeft,[status(thm)],[c_2969]) ).
tff(c_3071,plain,
~ colinear(c,b,a),
inference(splitLeft,[status(thm)],[c_2881]) ).
tff(c_3074,plain,
~ between(b,a,c),
inference(resolution,[status(thm)],[c_40,c_3071]) ).
tff(c_3084,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2971,c_3074]) ).
tff(c_3085,plain,
( ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c) ),
inference(splitRight,[status(thm)],[c_2881]) ).
tff(c_3093,plain,
~ colinear(b,a,c),
inference(splitLeft,[status(thm)],[c_3085]) ).
tff(c_3143,plain,
~ between(b,a,c),
inference(resolution,[status(thm)],[c_38,c_3093]) ).
tff(c_3151,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2971,c_3143]) ).
tff(c_3152,plain,
( ~ colinear(b,c,a)
| ~ colinear(c,a,b) ),
inference(splitRight,[status(thm)],[c_3085]) ).
tff(c_3160,plain,
~ colinear(c,a,b),
inference(splitLeft,[status(thm)],[c_3152]) ).
tff(c_3166,plain,
~ between(c,a,b),
inference(resolution,[status(thm)],[c_38,c_3160]) ).
tff(c_3174,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1992,c_3166]) ).
tff(c_3175,plain,
~ colinear(b,c,a),
inference(splitRight,[status(thm)],[c_3152]) ).
tff(c_3185,plain,
~ between(c,a,b),
inference(resolution,[status(thm)],[c_40,c_3175]) ).
tff(c_3195,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1992,c_3185]) ).
tff(c_3196,plain,
between(c,b,a),
inference(splitRight,[status(thm)],[c_2969]) ).
tff(c_3322,plain,
~ colinear(c,b,a),
inference(splitLeft,[status(thm)],[c_2881]) ).
tff(c_3328,plain,
~ between(c,b,a),
inference(resolution,[status(thm)],[c_38,c_3322]) ).
tff(c_3336,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3196,c_3328]) ).
tff(c_3337,plain,
( ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c) ),
inference(splitRight,[status(thm)],[c_2881]) ).
tff(c_3345,plain,
~ colinear(b,a,c),
inference(splitLeft,[status(thm)],[c_3337]) ).
tff(c_3402,plain,
~ between(c,b,a),
inference(resolution,[status(thm)],[c_42,c_3345]) ).
tff(c_3408,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3196,c_3402]) ).
tff(c_3409,plain,
( ~ colinear(b,c,a)
| ~ colinear(c,a,b) ),
inference(splitRight,[status(thm)],[c_3337]) ).
tff(c_3417,plain,
~ colinear(c,a,b),
inference(splitLeft,[status(thm)],[c_3409]) ).
tff(c_3423,plain,
~ between(c,a,b),
inference(resolution,[status(thm)],[c_38,c_3417]) ).
tff(c_3431,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1992,c_3423]) ).
tff(c_3432,plain,
~ colinear(b,c,a),
inference(splitRight,[status(thm)],[c_3409]) ).
tff(c_3436,plain,
~ between(c,a,b),
inference(resolution,[status(thm)],[c_40,c_3432]) ).
tff(c_3446,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1992,c_3436]) ).
tff(c_3447,plain,
between(b,c,a),
inference(splitRight,[status(thm)],[c_1989]) ).
tff(c_3496,plain,
~ colinear(a,c,b),
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_3507,plain,
~ between(a,c,b),
inference(resolution,[status(thm)],[c_38,c_3496]) ).
tff(c_4261,plain,
! [U_842,Y_843,W_844,X_845] :
( ( inner_pasch(U_842,Y_843,W_844,X_845,Y_843) = Y_843 )
| ~ between(Y_843,X_845,W_844)
| ~ between(U_842,Y_843,W_844) ),
inference(resolution,[status(thm)],[c_306,c_14]) ).
tff(c_4370,plain,
! [U_851,X_852,Y_853] :
( ( inner_pasch(U_851,X_852,Y_853,Y_853,X_852) = X_852 )
| ~ between(U_851,X_852,Y_853) ),
inference(resolution,[status(thm)],[c_77,c_4261]) ).
tff(c_4388,plain,
inner_pasch(b,c,a,a,c) = c,
inference(resolution,[status(thm)],[c_3447,c_4370]) ).
tff(c_4520,plain,
( between(a,c,b)
| ~ between(c,a,a)
| ~ between(b,c,a) ),
inference(superposition,[status(thm),theory(equality)],[c_4388,c_18]) ).
tff(c_4526,plain,
between(a,c,b),
inference(demodulation,[status(thm),theory(equality)],[c_3447,c_77,c_4520]) ).
tff(c_4528,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3507,c_4526]) ).
tff(c_4530,plain,
colinear(a,c,b),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_4534,plain,
( between(b,a,c)
| between(c,b,a)
| between(a,c,b) ),
inference(resolution,[status(thm)],[c_4530,c_44]) ).
tff(c_4535,plain,
between(a,c,b),
inference(splitLeft,[status(thm)],[c_4534]) ).
tff(c_4529,plain,
( ~ colinear(b,a,c)
| ~ colinear(b,c,a)
| ~ colinear(c,a,b)
| ~ colinear(c,b,a) ),
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_4536,plain,
~ colinear(c,b,a),
inference(splitLeft,[status(thm)],[c_4529]) ).
tff(c_4548,plain,
~ between(a,c,b),
inference(resolution,[status(thm)],[c_42,c_4536]) ).
tff(c_4551,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4535,c_4548]) ).
tff(c_4552,plain,
( ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c) ),
inference(splitRight,[status(thm)],[c_4529]) ).
tff(c_4558,plain,
~ colinear(b,a,c),
inference(splitLeft,[status(thm)],[c_4552]) ).
tff(c_4561,plain,
~ between(a,c,b),
inference(resolution,[status(thm)],[c_40,c_4558]) ).
tff(c_4571,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4535,c_4561]) ).
tff(c_4572,plain,
( ~ colinear(b,c,a)
| ~ colinear(c,a,b) ),
inference(splitRight,[status(thm)],[c_4552]) ).
tff(c_4579,plain,
~ colinear(c,a,b),
inference(splitLeft,[status(thm)],[c_4572]) ).
tff(c_4588,plain,
~ between(b,c,a),
inference(resolution,[status(thm)],[c_42,c_4579]) ).
tff(c_4594,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3447,c_4588]) ).
tff(c_4595,plain,
~ colinear(b,c,a),
inference(splitRight,[status(thm)],[c_4572]) ).
tff(c_4609,plain,
~ between(b,c,a),
inference(resolution,[status(thm)],[c_38,c_4595]) ).
tff(c_4617,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3447,c_4609]) ).
tff(c_4618,plain,
( between(c,b,a)
| between(b,a,c) ),
inference(splitRight,[status(thm)],[c_4534]) ).
tff(c_4620,plain,
between(b,a,c),
inference(splitLeft,[status(thm)],[c_4618]) ).
tff(c_4641,plain,
~ colinear(c,b,a),
inference(splitLeft,[status(thm)],[c_4529]) ).
tff(c_4644,plain,
~ between(b,a,c),
inference(resolution,[status(thm)],[c_40,c_4641]) ).
tff(c_4654,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4620,c_4644]) ).
tff(c_4655,plain,
( ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c) ),
inference(splitRight,[status(thm)],[c_4529]) ).
tff(c_4663,plain,
~ colinear(b,a,c),
inference(splitLeft,[status(thm)],[c_4655]) ).
tff(c_4670,plain,
~ between(b,a,c),
inference(resolution,[status(thm)],[c_38,c_4663]) ).
tff(c_4678,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4620,c_4670]) ).
tff(c_4679,plain,
( ~ colinear(b,c,a)
| ~ colinear(c,a,b) ),
inference(splitRight,[status(thm)],[c_4655]) ).
tff(c_4687,plain,
~ colinear(c,a,b),
inference(splitLeft,[status(thm)],[c_4679]) ).
tff(c_4696,plain,
~ between(b,c,a),
inference(resolution,[status(thm)],[c_42,c_4687]) ).
tff(c_4702,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3447,c_4696]) ).
tff(c_4703,plain,
~ colinear(b,c,a),
inference(splitRight,[status(thm)],[c_4679]) ).
tff(c_4716,plain,
~ between(b,c,a),
inference(resolution,[status(thm)],[c_38,c_4703]) ).
tff(c_4724,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3447,c_4716]) ).
tff(c_4725,plain,
between(c,b,a),
inference(splitRight,[status(thm)],[c_4618]) ).
tff(c_4869,plain,
~ colinear(c,b,a),
inference(splitLeft,[status(thm)],[c_4529]) ).
tff(c_4875,plain,
~ between(c,b,a),
inference(resolution,[status(thm)],[c_38,c_4869]) ).
tff(c_4883,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4725,c_4875]) ).
tff(c_4884,plain,
( ~ colinear(c,a,b)
| ~ colinear(b,c,a)
| ~ colinear(b,a,c) ),
inference(splitRight,[status(thm)],[c_4529]) ).
tff(c_4892,plain,
~ colinear(b,a,c),
inference(splitLeft,[status(thm)],[c_4884]) ).
tff(c_4941,plain,
~ between(c,b,a),
inference(resolution,[status(thm)],[c_42,c_4892]) ).
tff(c_4947,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4725,c_4941]) ).
tff(c_4948,plain,
( ~ colinear(b,c,a)
| ~ colinear(c,a,b) ),
inference(splitRight,[status(thm)],[c_4884]) ).
tff(c_4956,plain,
~ colinear(c,a,b),
inference(splitLeft,[status(thm)],[c_4948]) ).
tff(c_4965,plain,
~ between(b,c,a),
inference(resolution,[status(thm)],[c_42,c_4956]) ).
tff(c_4971,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3447,c_4965]) ).
tff(c_4972,plain,
~ colinear(b,c,a),
inference(splitRight,[status(thm)],[c_4948]) ).
tff(c_4979,plain,
~ between(b,c,a),
inference(resolution,[status(thm)],[c_38,c_4972]) ).
tff(c_4987,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3447,c_4979]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO010-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % 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
% 0.14/0.37 % Computer : n031.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Fri Aug 4 00:52:00 EDT 2023
% 0.14/0.37 % CPUTime :
% 7.55/2.88 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.71/2.90
% 7.71/2.90 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.00/2.95
% 8.00/2.95 Inference rules
% 8.00/2.95 ----------------------
% 8.00/2.95 #Ref : 0
% 8.00/2.95 #Sup : 1112
% 8.00/2.95 #Fact : 0
% 8.00/2.95 #Define : 0
% 8.00/2.95 #Split : 38
% 8.00/2.95 #Chain : 0
% 8.00/2.95 #Close : 0
% 8.00/2.95
% 8.00/2.95 Ordering : KBO
% 8.00/2.95
% 8.00/2.95 Simplification rules
% 8.00/2.95 ----------------------
% 8.00/2.95 #Subsume : 39
% 8.00/2.95 #Demod : 725
% 8.00/2.95 #Tautology : 434
% 8.00/2.95 #SimpNegUnit : 19
% 8.00/2.95 #BackRed : 0
% 8.00/2.95
% 8.00/2.95 #Partial instantiations: 0
% 8.00/2.95 #Strategies tried : 1
% 8.00/2.95
% 8.00/2.95 Timing (in seconds)
% 8.00/2.95 ----------------------
% 8.00/2.95 Preprocessing : 0.52
% 8.00/2.95 Parsing : 0.30
% 8.00/2.95 CNF conversion : 0.03
% 8.00/2.95 Main loop : 1.23
% 8.00/2.95 Inferencing : 0.47
% 8.00/2.95 Reduction : 0.37
% 8.00/2.95 Demodulation : 0.28
% 8.00/2.95 BG Simplification : 0.04
% 8.00/2.95 Subsumption : 0.26
% 8.00/2.95 Abstraction : 0.05
% 8.00/2.95 MUC search : 0.00
% 8.00/2.95 Cooper : 0.00
% 8.00/2.95 Total : 1.83
% 8.00/2.95 Index Insertion : 0.00
% 8.00/2.95 Index Deletion : 0.00
% 8.00/2.95 Index Matching : 0.00
% 8.00/2.95 BG Taut test : 0.00
%------------------------------------------------------------------------------