TSTP Solution File: GEO077-4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO077-4 : 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 : n007.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 22:42:49 EDT 2023
% Result : Unsatisfiable 0.52s 0.74s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO077-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n007.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
% 0.12/0.33 % DateTime : Tue Aug 29 22:48:59 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 0.52/0.73 %-------------------------------------------
% 0.52/0.73 % File :CSE---1.6
% 0.52/0.73 % Problem :theBenchmark
% 0.52/0.73 % Transform :cnf
% 0.52/0.73 % Format :tptp:raw
% 0.52/0.74 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.74
% 0.52/0.74 % Result :Theorem 0.120000s
% 0.52/0.74 % Output :CNFRefutation 0.120000s
% 0.52/0.74 %-------------------------------------------
% 0.52/0.74 %--------------------------------------------------------------------------
% 0.52/0.74 % File : GEO077-4 : TPTP v8.1.2. Released v1.0.0.
% 0.52/0.74 % Domain : Geometry (Hilbert)
% 0.52/0.74 % Problem : Three points not collinear if not on line
% 0.52/0.74 % Version : [Ben92] axioms.
% 0.52/0.74 % English :
% 0.52/0.74
% 0.52/0.74 % Refs : [Ben92] Benanav (1992), Recognising Unnecessary Clauses in Res
% 0.52/0.74 % Source : [Ben92]
% 0.52/0.74 % Names : G11A [Ben92]
% 0.52/0.74
% 0.52/0.74 % Status : Unsatisfiable
% 0.52/0.74 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.3.0, 0.09 v6.2.0, 0.00 v6.1.0, 0.14 v6.0.0, 0.00 v5.5.0, 0.30 v5.3.0, 0.22 v5.2.0, 0.19 v5.1.0, 0.18 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.1, 0.09 v4.0.0, 0.00 v3.5.0, 0.09 v3.4.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.00 v2.5.0, 0.17 v2.4.0, 0.11 v2.3.0, 0.00 v2.2.1, 0.33 v2.2.0, 0.22 v2.1.0, 0.67 v2.0.0
% 0.52/0.74 % Syntax : Number of clauses : 42 ( 12 unt; 18 nHn; 42 RR)
% 0.52/0.74 % Number of literals : 185 ( 46 equ; 107 neg)
% 0.52/0.74 % Maximal clause size : 16 ( 4 avg)
% 0.52/0.74 % Maximal term depth : 2 ( 1 avg)
% 0.52/0.74 % Number of predicates : 6 ( 5 usr; 0 prp; 1-3 aty)
% 0.52/0.74 % Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% 0.52/0.74 % Number of variables : 70 ( 0 sgn)
% 0.52/0.74 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.52/0.74
% 0.52/0.74 % Comments :
% 0.52/0.74 %--------------------------------------------------------------------------
% 0.52/0.74 %----Include axioms for Hilbert geometry
% 0.52/0.74 include('Axioms/GEO003-0.ax').
% 0.52/0.74 %--------------------------------------------------------------------------
% 0.52/0.74 cnf(point1,hypothesis,
% 0.52/0.74 point(point1) ).
% 0.52/0.74
% 0.52/0.74 cnf(point2,hypothesis,
% 0.52/0.74 point(point2) ).
% 0.52/0.74
% 0.52/0.74 cnf(point3,hypothesis,
% 0.52/0.74 point(point3) ).
% 0.52/0.74
% 0.52/0.74 cnf(line,hypothesis,
% 0.52/0.74 line(a_line) ).
% 0.52/0.74
% 0.52/0.74 cnf(point1_on_line,hypothesis,
% 0.52/0.74 on(point1,a_line) ).
% 0.52/0.74
% 0.52/0.74 cnf(point2_on_line,hypothesis,
% 0.52/0.74 on(point2,a_line) ).
% 0.52/0.74
% 0.52/0.74 cnf(point3_not_on_line,hypothesis,
% 0.52/0.74 ~ on(point3,a_line) ).
% 0.52/0.74
% 0.52/0.74 cnf(point1_not_point2,hypothesis,
% 0.52/0.74 point1 != point2 ).
% 0.52/0.74
% 0.52/0.74 cnf(point1_not_point3,hypothesis,
% 0.52/0.74 point1 != point3 ).
% 0.52/0.74
% 0.52/0.74 cnf(point2_not_point3,hypothesis,
% 0.52/0.74 point2 != point3 ).
% 0.52/0.74
% 0.52/0.74 cnf(prove_points_noncollinear,negated_conjecture,
% 0.52/0.74 collinear(point1,point2,point3) ).
% 0.52/0.74
% 0.52/0.74 %--------------------------------------------------------------------------
% 0.52/0.74 %-------------------------------------------
% 0.52/0.74 % Proof found
% 0.52/0.74 % SZS status Theorem for theBenchmark
% 0.52/0.74 % SZS output start Proof
% 0.52/0.74 %ClaNum:69(EqnAxiom:27)
% 0.52/0.74 %VarNum:304(SingletonVarNum:70)
% 0.52/0.74 %MaxLitNum:16
% 0.52/0.74 %MaxfuncDepth:1
% 0.52/0.74 %SharedTerms:17
% 0.52/0.74 %goalClause: 35
% 0.52/0.74 %singleGoalClaCount:1
% 0.52/0.74 [28]P1(a1)
% 0.52/0.74 [29]P1(a8)
% 0.52/0.74 [30]P1(a9)
% 0.52/0.74 [31]P2(a2)
% 0.52/0.74 [32]P2(a3)
% 0.52/0.74 [33]P4(a1,a3)
% 0.52/0.74 [34]P4(a8,a3)
% 0.52/0.74 [35]P3(a1,a8,a9)
% 0.52/0.74 [36]~E(a1,a8)
% 0.52/0.74 [37]~E(a1,a9)
% 0.52/0.74 [38]~E(a9,a8)
% 0.52/0.74 [39]~P4(a9,a3)
% 0.52/0.74 [40]~P2(x401)+P1(f10(x401))
% 0.52/0.74 [41]~P2(x411)+P1(f11(x411))
% 0.52/0.74 [42]~P2(x421)+P1(f12(x421))
% 0.52/0.74 [43]~P5(x431)+P1(f13(x431))
% 0.52/0.74 [44]~P5(x441)+P1(f14(x441))
% 0.52/0.74 [45]~P2(x451)+~E(f11(x451),f10(x451))
% 0.52/0.74 [46]~P2(x461)+P4(f10(x461),x461)
% 0.52/0.74 [47]~P2(x471)+P4(f11(x471),x471)
% 0.52/0.74 [48]~P5(x481)+P4(f13(x481),x481)
% 0.52/0.74 [49]~P2(x491)+~P4(f12(x491),x491)
% 0.52/0.74 [50]~P5(x501)+~P4(f14(x501),x501)
% 0.52/0.74 [51]~P1(x512)+~P1(x511)+E(x511,x512)+P2(f4(x511,x512))
% 0.52/0.74 [52]~P1(x522)+~P1(x521)+E(x521,x522)+P4(x521,f4(x522,x521))
% 0.52/0.74 [53]~P1(x532)+~P1(x531)+E(x531,x532)+P4(x531,f4(x531,x532))
% 0.52/0.74 [56]~P1(x563)+~P5(x562)+~P5(x561)+~P4(x563,x562)+~P4(x563,x561)+E(x561,x562)+~E(f5(x561,x562,x563),x563)
% 0.52/0.74 [58]~P1(x583)+~P5(x582)+~P5(x581)+~P4(x583,x582)+~P4(x583,x581)+E(x581,x582)+P1(f5(x581,x582,x583))
% 0.52/0.74 [59]~P1(x593)+~P5(x592)+~P5(x591)+~P4(x593,x592)+~P4(x593,x591)+E(x591,x592)+P4(f5(x591,x592,x593),x592)
% 0.52/0.74 [60]~P1(x603)+~P5(x602)+~P5(x601)+~P4(x603,x602)+~P4(x603,x601)+E(x601,x602)+P4(f5(x601,x602,x603),x601)
% 0.52/0.74 [61]E(x613,x611)+P3(x613,x611,x612)+~P1(x612)+~P1(x611)+~P1(x613)+E(x611,x612)+E(x613,x612)+P5(f6(x613,x611,x612))
% 0.52/0.74 [62]E(x623,x621)+P3(x621,x622,x623)+~P1(x622)+~P1(x621)+~P1(x623)+E(x621,x622)+E(x623,x622)+P4(x623,f6(x621,x622,x623))
% 0.52/0.74 [63]E(x633,x631)+P3(x631,x633,x632)+~P1(x632)+~P1(x631)+~P1(x633)+E(x631,x632)+E(x633,x632)+P4(x633,f6(x631,x633,x632))
% 0.52/0.74 [64]E(x643,x641)+P3(x643,x641,x642)+~P1(x642)+~P1(x641)+~P1(x643)+E(x641,x642)+E(x643,x642)+P4(x643,f6(x643,x641,x642))
% 0.52/0.74 [65]E(x653,x651)+~P1(x652)+~P1(x651)+~P1(x653)+~P3(x653,x651,x652)+E(x651,x652)+E(x653,x652)+P2(f7(x653,x651,x652))
% 0.52/0.74 [66]E(x663,x661)+~P1(x662)+~P1(x661)+~P1(x663)+~P3(x663,x661,x662)+E(x661,x662)+E(x663,x662)+P4(x662,f7(x663,x661,x662))
% 0.52/0.74 [67]E(x673,x671)+~P1(x672)+~P1(x671)+~P1(x673)+~P3(x673,x671,x672)+E(x671,x672)+E(x673,x672)+P4(x671,f7(x673,x671,x672))
% 0.52/0.74 [68]E(x683,x681)+~P1(x682)+~P1(x681)+~P1(x683)+~P3(x683,x681,x682)+E(x681,x682)+E(x683,x682)+P4(x683,f7(x683,x681,x682))
% 0.52/0.74 [54]~P1(x544)+~P1(x543)+~P2(x542)+~P2(x541)+~P4(x544,x542)+~P4(x544,x541)+~P4(x543,x542)+~P4(x543,x541)+E(x541,x542)+E(x543,x544)
% 0.52/0.74 [55]~P1(x552)+~P1(x551)+~P2(x553)+~P5(x554)+~P4(x552,x554)+~P4(x552,x553)+~P4(x551,x554)+~P4(x551,x553)+E(x551,x552)+P4(x553,x554)
% 0.52/0.74 [57]E(x573,x571)+P3(x573,x571,x572)+~P1(x572)+~P1(x571)+~P1(x573)+~P4(x572,x574)+~P4(x571,x574)+~P4(x573,x574)+E(x571,x572)+E(x573,x572)+~P2(x574)
% 0.52/0.74 [69]E(x695,x693)+P3(x695,x693,x694)+~P1(x694)+~P1(x693)+~P1(x695)+~P5(x692)+~P5(x691)+~P4(x694,x692)+~P4(x694,x691)+~P4(x693,x692)+~P4(x693,x691)+~P4(x695,x692)+~P4(x695,x691)+E(x691,x692)+E(x693,x694)+E(x695,x694)
% 0.52/0.74 %EqnAxiom
% 0.52/0.74 [1]E(x11,x11)
% 0.52/0.74 [2]E(x22,x21)+~E(x21,x22)
% 0.52/0.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.52/0.74 [4]~E(x41,x42)+E(f10(x41),f10(x42))
% 0.52/0.74 [5]~E(x51,x52)+E(f11(x51),f11(x52))
% 0.52/0.74 [6]~E(x61,x62)+E(f12(x61),f12(x62))
% 0.52/0.74 [7]~E(x71,x72)+E(f13(x71),f13(x72))
% 0.52/0.74 [8]~E(x81,x82)+E(f14(x81),f14(x82))
% 0.52/0.75 [9]~E(x91,x92)+E(f7(x91,x93,x94),f7(x92,x93,x94))
% 0.52/0.75 [10]~E(x101,x102)+E(f7(x103,x101,x104),f7(x103,x102,x104))
% 0.52/0.75 [11]~E(x111,x112)+E(f7(x113,x114,x111),f7(x113,x114,x112))
% 0.52/0.75 [12]~E(x121,x122)+E(f6(x121,x123,x124),f6(x122,x123,x124))
% 0.52/0.75 [13]~E(x131,x132)+E(f6(x133,x131,x134),f6(x133,x132,x134))
% 0.52/0.75 [14]~E(x141,x142)+E(f6(x143,x144,x141),f6(x143,x144,x142))
% 0.52/0.75 [15]~E(x151,x152)+E(f5(x151,x153,x154),f5(x152,x153,x154))
% 0.52/0.75 [16]~E(x161,x162)+E(f5(x163,x161,x164),f5(x163,x162,x164))
% 0.52/0.75 [17]~E(x171,x172)+E(f5(x173,x174,x171),f5(x173,x174,x172))
% 0.52/0.75 [18]~E(x181,x182)+E(f4(x181,x183),f4(x182,x183))
% 0.52/0.75 [19]~E(x191,x192)+E(f4(x193,x191),f4(x193,x192))
% 0.52/0.75 [20]~P1(x201)+P1(x202)+~E(x201,x202)
% 0.52/0.75 [21]P4(x212,x213)+~E(x211,x212)+~P4(x211,x213)
% 0.52/0.75 [22]P4(x223,x222)+~E(x221,x222)+~P4(x223,x221)
% 0.52/0.75 [23]~P5(x231)+P5(x232)+~E(x231,x232)
% 0.52/0.75 [24]~P2(x241)+P2(x242)+~E(x241,x242)
% 0.52/0.75 [25]P3(x252,x253,x254)+~E(x251,x252)+~P3(x251,x253,x254)
% 0.52/0.75 [26]P3(x263,x262,x264)+~E(x261,x262)+~P3(x263,x261,x264)
% 0.52/0.75 [27]P3(x273,x274,x272)+~E(x271,x272)+~P3(x273,x274,x271)
% 0.52/0.75
% 0.52/0.75 %-------------------------------------------
% 0.52/0.75 cnf(70,plain,
% 0.52/0.75 (~E(a8,a9)),
% 0.52/0.75 inference(scs_inference,[],[34,39,21])).
% 0.52/0.75 cnf(71,plain,
% 0.52/0.75 (~E(a8,a1)),
% 0.52/0.75 inference(scs_inference,[],[34,36,39,21,2])).
% 0.52/0.75 cnf(93,plain,
% 0.52/0.75 (P4(a1,f7(a1,a8,a9))),
% 0.52/0.75 inference(scs_inference,[],[35,28,29,30,31,34,36,37,39,21,2,49,47,46,42,41,40,45,24,53,52,51,68])).
% 0.52/0.75 cnf(95,plain,
% 0.52/0.75 (P4(a8,f7(a1,a8,a9))),
% 0.52/0.75 inference(scs_inference,[],[35,28,29,30,31,34,36,37,39,21,2,49,47,46,42,41,40,45,24,53,52,51,68,67])).
% 0.52/0.75 cnf(97,plain,
% 0.52/0.75 (P4(a9,f7(a1,a8,a9))),
% 0.52/0.75 inference(scs_inference,[],[35,28,29,30,31,34,36,37,39,21,2,49,47,46,42,41,40,45,24,53,52,51,68,67,66])).
% 0.52/0.75 cnf(99,plain,
% 0.52/0.75 (P2(f7(a1,a8,a9))),
% 0.52/0.75 inference(scs_inference,[],[35,28,29,30,31,34,36,37,39,21,2,49,47,46,42,41,40,45,24,53,52,51,68,67,66,65])).
% 0.52/0.75 cnf(106,plain,
% 0.52/0.75 (~E(f7(a1,a8,a9),a3)),
% 0.52/0.75 inference(scs_inference,[],[39,97,22])).
% 0.52/0.75 cnf(137,plain,
% 0.52/0.75 (~P4(f12(a3),a3)),
% 0.52/0.75 inference(scs_inference,[],[29,71,32,70,37,30,28,62,49])).
% 0.52/0.75 cnf(198,plain,
% 0.52/0.75 ($false),
% 0.52/0.75 inference(scs_inference,[],[34,33,32,71,106,137,93,99,95,28,29,2,21,54]),
% 0.52/0.75 ['proof']).
% 0.52/0.75 % SZS output end Proof
% 0.52/0.75 % Total time :0.120000s
%------------------------------------------------------------------------------