TSTP Solution File: GEO011-5 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO011-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n003.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 Aug 30 22:42:24 EDT 2023
% Result : Unsatisfiable 0.59s 0.66s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO011-5 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n003.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 : Tue Aug 29 19:23:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.59/0.61 start to proof:theBenchmark
% 0.59/0.65 %-------------------------------------------
% 0.59/0.65 % File :CSE---1.6
% 0.59/0.65 % Problem :theBenchmark
% 0.59/0.65 % Transform :cnf
% 0.59/0.65 % Format :tptp:raw
% 0.59/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.59/0.65
% 0.59/0.65 % Result :Theorem 0.000000s
% 0.59/0.65 % Output :CNFRefutation 0.000000s
% 0.59/0.65 %-------------------------------------------
% 0.59/0.66 %--------------------------------------------------------------------------
% 0.59/0.66 % File : GEO011-5 : TPTP v8.1.2. Released v1.0.0.
% 0.59/0.66 % Domain : Geometry
% 0.59/0.66 % Problem : The axiom set points are not collinear
% 0.59/0.66 % Version : [Qua89] axioms : Reduced & Augmented > Incomplete.
% 0.59/0.66 % English :
% 0.59/0.66
% 0.59/0.66 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.59/0.66 % : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.59/0.66 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.59/0.66 % Source : [ANL]
% 0.59/0.66 % Names : t11.ver2.in [ANL]
% 0.59/0.66
% 0.59/0.66 % Status : Unsatisfiable
% 0.59/0.66 % Rating : 0.05 v8.1.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.12 v5.1.0, 0.06 v5.0.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.00 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.0.0
% 0.59/0.66 % Syntax : Number of clauses : 17 ( 7 unt; 2 nHn; 14 RR)
% 0.59/0.66 % Number of literals : 38 ( 3 equ; 21 neg)
% 0.59/0.66 % Maximal clause size : 8 ( 2 avg)
% 0.59/0.66 % Maximal term depth : 3 ( 1 avg)
% 0.59/0.66 % Number of predicates : 4 ( 3 usr; 0 prp; 2-3 aty)
% 0.59/0.66 % Number of functors : 6 ( 6 usr; 3 con; 0-5 aty)
% 0.59/0.66 % Number of variables : 51 ( 3 sgn)
% 0.59/0.66 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.59/0.66
% 0.59/0.66 % Comments : Equidistant reformulated to same_distance
% 0.59/0.66 %--------------------------------------------------------------------------
% 0.59/0.66 %----Include Tarski geometry axioms for colinearity
% 0.59/0.66 include('Axioms/GEO002-1.ax').
% 0.59/0.66 %--------------------------------------------------------------------------
% 0.59/0.66 %----A1 - Reflexivity axiom for equidistance
% 0.59/0.66 cnf(reflexivity_for_equidistance,axiom,
% 0.59/0.66 equal_distance(distance(X,Y),distance(Y,X)) ).
% 0.59/0.66
% 0.59/0.66 %----A2 - Transitivity axiom for equidistance
% 0.59/0.66 cnf(transitivity_for_equidistance,axiom,
% 0.59/0.66 ( ~ equal_distance(distance(X,Y),distance(Z,V))
% 0.59/0.66 | ~ equal_distance(distance(X,Y),distance(V2,W))
% 0.59/0.66 | equal_distance(distance(Z,V),distance(V2,W)) ) ).
% 0.59/0.66
% 0.59/0.66 %----A3 Indentity axiom for equidistance
% 0.59/0.66 cnf(identity_for_equidistance,axiom,
% 0.59/0.66 ( ~ equal_distance(distance(X,Y),distance(Z,Z))
% 0.59/0.66 | X = Y ) ).
% 0.59/0.66
% 0.59/0.66 %----A4 - Segment construction axiom, two clauses.
% 0.59/0.66 %----A4.1
% 0.59/0.66 cnf(segment_construction1,axiom,
% 0.59/0.66 between(X,Y,extension(X,Y,W,V)) ).
% 0.59/0.66
% 0.59/0.66 %----A4.2
% 0.59/0.66 cnf(segment_construction2,axiom,
% 0.59/0.66 equal_distance(distance(Y,extension(X,Y,W,V)),distance(W,V)) ).
% 0.59/0.66
% 0.59/0.66 %----A5 - Outer five-segment axiom
% 0.59/0.66 cnf(outer_five_segment,axiom,
% 0.59/0.66 ( ~ equal_distance(distance(X,Y),distance(X1,Y1))
% 0.59/0.66 | ~ equal_distance(distance(Y,Z),distance(Y1,Z1))
% 0.59/0.66 | ~ equal_distance(distance(X,V),distance(X1,V1))
% 0.59/0.66 | ~ equal_distance(distance(Y,V),distance(Y1,V1))
% 0.59/0.66 | ~ between(X,Y,Z)
% 0.59/0.66 | ~ between(X1,Y1,Z1)
% 0.59/0.66 | X = Y
% 0.59/0.66 | equal_distance(distance(Z,V),distance(Z1,V1)) ) ).
% 0.59/0.66
% 0.59/0.66 %----A6 - Identity axiom for betweenness
% 0.59/0.66 cnf(identity_for_betweeness,axiom,
% 0.59/0.66 ( ~ between(X,Y,X)
% 0.59/0.66 | X = Y ) ).
% 0.59/0.66
% 0.59/0.66 %----A7 - Inner Pasch axiom, two clauses.
% 0.59/0.66 %----A7.1
% 0.59/0.66 cnf(inner_pasch1,axiom,
% 0.59/0.66 ( ~ between(U,V,W)
% 0.59/0.66 | ~ between(Y,X,W)
% 0.59/0.66 | between(V,inner_pasch(U,V,W,X,Y),Y) ) ).
% 0.59/0.66
% 0.59/0.66 %----A7.2
% 0.59/0.66 cnf(inner_pasch2,axiom,
% 0.59/0.66 ( ~ between(U,V,W)
% 0.59/0.66 | ~ between(Y,X,W)
% 0.59/0.66 | between(X,inner_pasch(U,V,W,X,Y),U) ) ).
% 0.59/0.66
% 0.59/0.66 %----A8 - Lower dimension axiom, three clauses.
% 0.59/0.66 %----A8.1
% 0.59/0.66 cnf(lower_dimension1,axiom,
% 0.59/0.66 ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ).
% 0.59/0.66
% 0.59/0.66 %----A8.2
% 0.59/0.66 cnf(lower_dimension2,axiom,
% 0.59/0.66 ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ).
% 0.59/0.66
% 0.59/0.66 %----A8.3
% 0.59/0.66 cnf(lower_dimension3,axiom,
% 0.59/0.66 ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ).
% 0.59/0.66
% 0.59/0.66 cnf(prove_lower_dimension_points_not_colinear,negated_conjecture,
% 0.59/0.66 colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ).
% 0.59/0.66
% 0.59/0.66 %--------------------------------------------------------------------------
% 0.59/0.66 %-------------------------------------------
% 0.59/0.66 % Proof found
% 0.59/0.66 % SZS status Theorem for theBenchmark
% 0.59/0.66 % SZS output start Proof
% 0.59/0.66 %ClaNum:39(EqnAxiom:22)
% 0.59/0.66 %VarNum:124(SingletonVarNum:51)
% 0.59/0.66 %MaxLitNum:8
% 0.59/0.66 %MaxfuncDepth:2
% 0.59/0.66 %SharedTerms:7
% 0.59/0.66 %goalClause: 23
% 0.59/0.66 %singleGoalClaCount:1
% 0.59/0.66 [23]P1(a1,a5,a6)
% 0.59/0.66 [27]~P2(a1,a5,a6)
% 0.59/0.66 [28]~P2(a5,a6,a1)
% 0.59/0.66 [29]~P2(a6,a1,a5)
% 0.59/0.66 [24]P3(f2(x241,x242),f2(x242,x241))
% 0.59/0.66 [25]P2(x251,x252,f3(x251,x252,x253,x254))
% 0.59/0.66 [26]P3(f2(x261,f3(x262,x261,x263,x264)),f2(x263,x264))
% 0.59/0.66 [30]~P2(x301,x302,x301)+E(x301,x302)
% 0.59/0.66 [32]~P2(x322,x323,x321)+P1(x321,x322,x323)
% 0.59/0.66 [33]~P2(x333,x331,x332)+P1(x331,x332,x333)
% 0.59/0.66 [34]~P2(x341,x342,x343)+P1(x341,x342,x343)
% 0.59/0.66 [31]E(x311,x312)+~P3(f2(x311,x312),f2(x313,x313))
% 0.59/0.66 [38]~P2(x385,x381,x384)+~P2(x382,x383,x384)+P2(x381,f4(x382,x383,x384,x381,x385),x382)
% 0.59/0.66 [39]~P2(x395,x394,x393)+~P2(x392,x391,x393)+P2(x391,f4(x392,x391,x393,x394,x395),x395)
% 0.59/0.66 [36]P3(f2(x361,x362),f2(x363,x364))+~P3(f2(x365,x366),f2(x363,x364))+~P3(f2(x365,x366),f2(x361,x362))
% 0.59/0.66 [35]P2(x353,x351,x352)+P2(x352,x353,x351)+~P1(x352,x353,x351)+P2(x351,x352,x353)
% 0.59/0.66 [37]~P2(x371,x372,x373)+E(x371,x372)+~P2(x377,x378,x375)+~P3(f2(x372,x374),f2(x378,x376))+~P3(f2(x372,x373),f2(x378,x375))+~P3(f2(x371,x374),f2(x377,x376))+~P3(f2(x371,x372),f2(x377,x378))+P3(f2(x373,x374),f2(x375,x376))
% 0.59/0.66 %EqnAxiom
% 0.59/0.66 [1]E(x11,x11)
% 0.59/0.66 [2]E(x22,x21)+~E(x21,x22)
% 0.59/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.59/0.66 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.59/0.66 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.59/0.66 [6]~E(x61,x62)+E(f4(x61,x63,x64,x65,x66),f4(x62,x63,x64,x65,x66))
% 0.59/0.66 [7]~E(x71,x72)+E(f4(x73,x71,x74,x75,x76),f4(x73,x72,x74,x75,x76))
% 0.59/0.66 [8]~E(x81,x82)+E(f4(x83,x84,x81,x85,x86),f4(x83,x84,x82,x85,x86))
% 0.59/0.66 [9]~E(x91,x92)+E(f4(x93,x94,x95,x91,x96),f4(x93,x94,x95,x92,x96))
% 0.59/0.66 [10]~E(x101,x102)+E(f4(x103,x104,x105,x106,x101),f4(x103,x104,x105,x106,x102))
% 0.59/0.66 [11]~E(x111,x112)+E(f3(x111,x113,x114,x115),f3(x112,x113,x114,x115))
% 0.59/0.66 [12]~E(x121,x122)+E(f3(x123,x121,x124,x125),f3(x123,x122,x124,x125))
% 0.59/0.66 [13]~E(x131,x132)+E(f3(x133,x134,x131,x135),f3(x133,x134,x132,x135))
% 0.59/0.66 [14]~E(x141,x142)+E(f3(x143,x144,x145,x141),f3(x143,x144,x145,x142))
% 0.59/0.66 [15]P1(x152,x153,x154)+~E(x151,x152)+~P1(x151,x153,x154)
% 0.59/0.66 [16]P1(x163,x162,x164)+~E(x161,x162)+~P1(x163,x161,x164)
% 0.59/0.66 [17]P1(x173,x174,x172)+~E(x171,x172)+~P1(x173,x174,x171)
% 0.59/0.66 [18]P3(x182,x183)+~E(x181,x182)+~P3(x181,x183)
% 0.59/0.66 [19]P3(x193,x192)+~E(x191,x192)+~P3(x193,x191)
% 0.59/0.66 [20]P2(x202,x203,x204)+~E(x201,x202)+~P2(x201,x203,x204)
% 0.59/0.66 [21]P2(x213,x212,x214)+~E(x211,x212)+~P2(x213,x211,x214)
% 0.59/0.66 [22]P2(x223,x224,x222)+~E(x221,x222)+~P2(x223,x224,x221)
% 0.59/0.66
% 0.59/0.66 %-------------------------------------------
% 0.59/0.66 cnf(43,plain,
% 0.59/0.66 (P2(x431,x432,f3(x431,x432,x433,x434))),
% 0.59/0.66 inference(rename_variables,[],[25])).
% 0.59/0.66 cnf(45,plain,
% 0.59/0.66 (P2(x451,x452,f3(x451,x452,x453,x454))),
% 0.59/0.66 inference(rename_variables,[],[25])).
% 0.59/0.66 cnf(51,plain,
% 0.59/0.66 ($false),
% 0.59/0.66 inference(scs_inference,[],[23,27,28,29,25,43,45,24,26,31,22,21,20,19,18,35]),
% 0.59/0.66 ['proof']).
% 0.59/0.66 % SZS output end Proof
% 0.59/0.66 % Total time :0.000000s
%------------------------------------------------------------------------------