TSTP Solution File: GEO003-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO003-3 : 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 : n005.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 22:42:20 EDT 2023
% Result : Unsatisfiable 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO003-3 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 22:46:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % File :CSE---1.6
% 0.19/0.61 % Problem :theBenchmark
% 0.19/0.61 % Transform :cnf
% 0.19/0.61 % Format :tptp:raw
% 0.19/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.61
% 0.19/0.61 % Result :Theorem 0.000000s
% 0.19/0.61 % Output :CNFRefutation 0.000000s
% 0.19/0.61 %-------------------------------------------
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 % File : GEO003-3 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.62 % Domain : Geometry
% 0.19/0.62 % Problem : For all points x and y, y is between x and y
% 0.19/0.62 % Version : [Qua89] axioms : Augmented.
% 0.19/0.62 % English :
% 0.19/0.62
% 0.19/0.62 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.19/0.62 % : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.19/0.62 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.19/0.62 % Source : [Qua89]
% 0.19/0.62 % Names : T3 [Qua89]
% 0.19/0.62
% 0.19/0.62 % Status : Unsatisfiable
% 0.19/0.62 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.0.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.5.0, 0.05 v5.3.0, 0.11 v5.2.0, 0.12 v5.1.0, 0.18 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.09 v3.7.0, 0.00 v3.3.0, 0.14 v3.2.0, 0.00 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.1.0, 0.00 v2.0.0
% 0.19/0.62 % Syntax : Number of clauses : 44 ( 16 unt; 9 nHn; 30 RR)
% 0.19/0.62 % Number of literals : 107 ( 24 equ; 56 neg)
% 0.19/0.62 % Maximal clause size : 8 ( 2 avg)
% 0.19/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.62 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.19/0.62 % Number of functors : 11 ( 11 usr; 5 con; 0-6 aty)
% 0.19/0.62 % Number of variables : 153 ( 6 sgn)
% 0.19/0.62 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.19/0.62
% 0.19/0.62 % Comments :
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 %----Include Tarski geometry axioms
% 0.19/0.62 include('Axioms/GEO002-0.ax').
% 0.19/0.62 %----Include definition of reflection
% 0.19/0.62 include('Axioms/GEO002-2.ax').
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 cnf(d1,axiom,
% 0.19/0.62 equidistant(U,V,U,V) ).
% 0.19/0.62
% 0.19/0.62 cnf(d2,axiom,
% 0.19/0.62 ( ~ equidistant(U,V,W,X)
% 0.19/0.62 | equidistant(W,X,U,V) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(d3,axiom,
% 0.19/0.62 ( ~ equidistant(U,V,W,X)
% 0.19/0.62 | equidistant(V,U,W,X) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(d4_1,axiom,
% 0.19/0.62 ( ~ equidistant(U,V,W,X)
% 0.19/0.62 | equidistant(U,V,X,W) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(d4_2,axiom,
% 0.19/0.62 ( ~ equidistant(U,V,W,X)
% 0.19/0.62 | equidistant(V,U,X,W) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(d4_3,axiom,
% 0.19/0.62 ( ~ equidistant(U,V,W,X)
% 0.19/0.62 | equidistant(W,X,V,U) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(d4_4,axiom,
% 0.19/0.62 ( ~ equidistant(U,V,W,X)
% 0.19/0.62 | equidistant(X,W,U,V) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(d4_5,axiom,
% 0.19/0.62 ( ~ equidistant(U,V,W,X)
% 0.19/0.62 | equidistant(X,W,V,U) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(d5,axiom,
% 0.19/0.62 ( ~ equidistant(U,V,W,X)
% 0.19/0.62 | ~ equidistant(W,X,Y,Z)
% 0.19/0.62 | equidistant(U,V,Y,Z) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(e1,axiom,
% 0.19/0.62 V = extension(U,V,W,W) ).
% 0.19/0.62
% 0.19/0.62 cnf(b0,axiom,
% 0.19/0.62 ( Y != extension(U,V,W,X)
% 0.19/0.62 | between(U,V,Y) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(r2_1,axiom,
% 0.19/0.62 between(U,V,reflection(U,V)) ).
% 0.19/0.62
% 0.19/0.62 cnf(r2_2,axiom,
% 0.19/0.62 equidistant(V,reflection(U,V),U,V) ).
% 0.19/0.62
% 0.19/0.62 cnf(r3_1,axiom,
% 0.19/0.62 ( U != V
% 0.19/0.62 | V = reflection(U,V) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(r3_2,axiom,
% 0.19/0.62 U = reflection(U,U) ).
% 0.19/0.62
% 0.19/0.62 cnf(r4,axiom,
% 0.19/0.62 ( V != reflection(U,V)
% 0.19/0.62 | U = V ) ).
% 0.19/0.62
% 0.19/0.62 cnf(d7,axiom,
% 0.19/0.62 equidistant(U,U,V,V) ).
% 0.19/0.62
% 0.19/0.62 cnf(d8,axiom,
% 0.19/0.62 ( ~ equidistant(U,V,U1,V1)
% 0.19/0.62 | ~ equidistant(V,W,V1,W1)
% 0.19/0.62 | ~ between(U,V,W)
% 0.19/0.62 | ~ between(U1,V1,W1)
% 0.19/0.62 | equidistant(U,W,U1,W1) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(d9,axiom,
% 0.19/0.62 ( ~ between(U,V,W)
% 0.19/0.62 | ~ between(U,V,X)
% 0.19/0.62 | ~ equidistant(V,W,V,X)
% 0.19/0.62 | U = V
% 0.19/0.62 | W = X ) ).
% 0.19/0.62
% 0.19/0.62 cnf(d10_1,axiom,
% 0.19/0.62 ( ~ between(U,V,W)
% 0.19/0.62 | U = V
% 0.19/0.62 | W = extension(U,V,V,W) ) ).
% 0.19/0.62
% 0.19/0.62 cnf(d10_2,axiom,
% 0.19/0.62 ( ~ equidistant(W,X,Y,Z)
% 0.19/0.62 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 0.19/0.62 | U = V ) ).
% 0.19/0.62
% 0.19/0.62 cnf(d10_3,axiom,
% 0.19/0.62 ( extension(U,V,U,V) = extension(U,V,V,U)
% 0.19/0.62 | U = V ) ).
% 0.19/0.62
% 0.19/0.62 cnf(r5,axiom,
% 0.19/0.62 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 0.19/0.62
% 0.19/0.62 cnf(r6,axiom,
% 0.19/0.62 U = reflection(reflection(U,V),V) ).
% 0.19/0.62
% 0.19/0.62 cnf(prove_b_between_a_and_b,negated_conjecture,
% 0.19/0.62 ~ between(a,b,b) ).
% 0.19/0.62
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark
% 0.19/0.62 % SZS output start Proof
% 0.19/0.62 %ClaNum:78(EqnAxiom:35)
% 0.19/0.62 %VarNum:404(SingletonVarNum:146)
% 0.19/0.62 %MaxLitNum:8
% 0.19/0.62 %MaxfuncDepth:2
% 0.19/0.62 %SharedTerms:9
% 0.19/0.62 %goalClause: 50
% 0.19/0.62 %singleGoalClaCount:1
% 0.19/0.62 [47]~P2(a7,a9,a10)
% 0.19/0.62 [48]~P2(a9,a10,a7)
% 0.19/0.62 [49]~P2(a10,a7,a9)
% 0.19/0.62 [50]~P2(a2,a3,a3)
% 0.19/0.62 [36]P1(x361,x362,x362,x361)
% 0.19/0.62 [37]P1(x371,x372,x371,x372)
% 0.19/0.62 [38]P1(x381,x381,x382,x382)
% 0.19/0.62 [45]E(f1(f1(x451,x452,x451,x452),x452,f1(x451,x452,x451,x452),x452),x451)
% 0.19/0.62 [46]P1(x461,x462,x461,f1(f1(x462,x461,x462,x461),x461,f1(x462,x461,x462,x461),x461))
% 0.19/0.62 [39]E(f1(x391,x392,x393,x393),x392)
% 0.19/0.62 [41]P2(x411,x412,f1(x411,x412,x413,x414))
% 0.19/0.62 [43]P1(x431,f1(x432,x431,x433,x434),x433,x434)
% 0.19/0.62 [51]~P2(x511,x512,x511)+E(x511,x512)
% 0.19/0.62 [52]~E(x521,x522)+E(f1(x521,x522,x521,x522),x522)
% 0.19/0.62 [55]E(x551,x552)+~E(f1(x552,x551,x552,x551),x551)
% 0.19/0.62 [57]E(x571,x572)+E(f1(x571,x572,x571,x572),f1(x571,x572,x572,x571))
% 0.19/0.62 [54]~P1(x541,x542,x543,x543)+E(x541,x542)
% 0.19/0.62 [59]~P1(x594,x593,x592,x591)+P1(x591,x592,x593,x594)
% 0.19/0.62 [60]~P1(x603,x604,x602,x601)+P1(x601,x602,x603,x604)
% 0.19/0.62 [61]~P1(x614,x613,x611,x612)+P1(x611,x612,x613,x614)
% 0.19/0.62 [62]~P1(x623,x624,x621,x622)+P1(x621,x622,x623,x624)
% 0.19/0.62 [63]~P1(x632,x631,x634,x633)+P1(x631,x632,x633,x634)
% 0.19/0.62 [64]~P1(x642,x641,x643,x644)+P1(x641,x642,x643,x644)
% 0.19/0.62 [65]~P1(x651,x652,x654,x653)+P1(x651,x652,x653,x654)
% 0.19/0.62 [56]P2(x561,x562,x563)+~E(x563,f1(x561,x562,x564,x565))
% 0.19/0.62 [53]~P2(x531,x532,x533)+E(x531,x532)+E(f1(x531,x532,x532,x533),x533)
% 0.19/0.62 [72]~P2(x725,x721,x724)+~P2(x722,x723,x724)+P2(x721,f8(x722,x723,x724,x721,x725),x722)
% 0.19/0.62 [73]~P2(x735,x734,x733)+~P2(x732,x731,x733)+P2(x731,f8(x732,x731,x733,x734,x735),x735)
% 0.19/0.62 [67]~P1(x675,x676,x671,x672)+P1(x671,x672,x673,x674)+~P1(x675,x676,x673,x674)
% 0.19/0.62 [68]~P1(x681,x682,x685,x686)+P1(x681,x682,x683,x684)+~P1(x685,x686,x683,x684)
% 0.19/0.62 [66]~P1(x663,x664,x665,x666)+E(x661,x662)+E(f1(x661,x662,x663,x664),f1(x661,x662,x665,x666))
% 0.19/0.62 [74]~P2(x744,x742,x743)+~P2(x741,x742,x745)+E(x741,x742)+P2(x741,x743,f4(x741,x744,x742,x743,x745))
% 0.19/0.62 [75]~P2(x753,x752,x754)+~P2(x751,x752,x755)+E(x751,x752)+P2(x751,x753,f5(x751,x753,x752,x754,x755))
% 0.19/0.62 [76]~P2(x763,x762,x764)+~P2(x761,x762,x765)+E(x761,x762)+P2(f5(x761,x763,x762,x764,x765),x765,f4(x761,x763,x762,x764,x765))
% 0.19/0.62 [58]~P2(x583,x584,x582)+~P2(x583,x584,x581)+~P1(x584,x581,x584,x582)+E(x581,x582)+E(x583,x584)
% 0.19/0.62 [69]~P1(x696,x692,x695,x694)+~P1(x691,x696,x693,x695)+P1(x691,x692,x693,x694)+~P2(x693,x695,x694)+~P2(x691,x696,x692)
% 0.19/0.62 [77]~P2(x773,x774,x775)+~P2(x772,x773,x775)+~P1(x772,x775,x772,x776)+~P1(x772,x773,x772,x771)+P2(x771,f6(x772,x773,x771,x774,x775,x776),x776)
% 0.19/0.62 [78]~P2(x783,x782,x785)+~P2(x781,x783,x785)+~P1(x781,x785,x781,x786)+~P1(x781,x783,x781,x784)+P1(x781,x782,x781,f6(x781,x783,x784,x782,x785,x786))
% 0.19/0.62 [70]P2(x705,x703,x704)+P2(x704,x705,x703)+~P1(x703,x701,x703,x702)+~P1(x705,x701,x705,x702)+~P1(x704,x701,x704,x702)+E(x701,x702)+P2(x703,x704,x705)
% 0.19/0.62 [71]~P2(x711,x712,x713)+~P1(x712,x714,x718,x716)+~P1(x712,x713,x718,x715)+~P1(x711,x714,x717,x716)+~P1(x711,x712,x717,x718)+E(x711,x712)+P1(x713,x714,x715,x716)+~P2(x717,x718,x715)
% 0.19/0.62 %EqnAxiom
% 0.19/0.62 [1]E(x11,x11)
% 0.19/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.62 [4]~E(x41,x42)+E(f1(x41,x43,x44,x45),f1(x42,x43,x44,x45))
% 0.19/0.62 [5]~E(x51,x52)+E(f1(x53,x51,x54,x55),f1(x53,x52,x54,x55))
% 0.19/0.62 [6]~E(x61,x62)+E(f1(x63,x64,x61,x65),f1(x63,x64,x62,x65))
% 0.19/0.62 [7]~E(x71,x72)+E(f1(x73,x74,x75,x71),f1(x73,x74,x75,x72))
% 0.19/0.62 [8]~E(x81,x82)+E(f6(x81,x83,x84,x85,x86,x87),f6(x82,x83,x84,x85,x86,x87))
% 0.19/0.62 [9]~E(x91,x92)+E(f6(x93,x91,x94,x95,x96,x97),f6(x93,x92,x94,x95,x96,x97))
% 0.19/0.62 [10]~E(x101,x102)+E(f6(x103,x104,x101,x105,x106,x107),f6(x103,x104,x102,x105,x106,x107))
% 0.19/0.62 [11]~E(x111,x112)+E(f6(x113,x114,x115,x111,x116,x117),f6(x113,x114,x115,x112,x116,x117))
% 0.19/0.63 [12]~E(x121,x122)+E(f6(x123,x124,x125,x126,x121,x127),f6(x123,x124,x125,x126,x122,x127))
% 0.19/0.63 [13]~E(x131,x132)+E(f6(x133,x134,x135,x136,x137,x131),f6(x133,x134,x135,x136,x137,x132))
% 0.19/0.63 [14]~E(x141,x142)+E(f8(x141,x143,x144,x145,x146),f8(x142,x143,x144,x145,x146))
% 0.19/0.63 [15]~E(x151,x152)+E(f8(x153,x151,x154,x155,x156),f8(x153,x152,x154,x155,x156))
% 0.19/0.63 [16]~E(x161,x162)+E(f8(x163,x164,x161,x165,x166),f8(x163,x164,x162,x165,x166))
% 0.19/0.63 [17]~E(x171,x172)+E(f8(x173,x174,x175,x171,x176),f8(x173,x174,x175,x172,x176))
% 0.19/0.63 [18]~E(x181,x182)+E(f8(x183,x184,x185,x186,x181),f8(x183,x184,x185,x186,x182))
% 0.19/0.63 [19]~E(x191,x192)+E(f4(x191,x193,x194,x195,x196),f4(x192,x193,x194,x195,x196))
% 0.19/0.63 [20]~E(x201,x202)+E(f4(x203,x201,x204,x205,x206),f4(x203,x202,x204,x205,x206))
% 0.19/0.63 [21]~E(x211,x212)+E(f4(x213,x214,x211,x215,x216),f4(x213,x214,x212,x215,x216))
% 0.19/0.63 [22]~E(x221,x222)+E(f4(x223,x224,x225,x221,x226),f4(x223,x224,x225,x222,x226))
% 0.19/0.63 [23]~E(x231,x232)+E(f4(x233,x234,x235,x236,x231),f4(x233,x234,x235,x236,x232))
% 0.19/0.63 [24]~E(x241,x242)+E(f5(x241,x243,x244,x245,x246),f5(x242,x243,x244,x245,x246))
% 0.19/0.63 [25]~E(x251,x252)+E(f5(x253,x251,x254,x255,x256),f5(x253,x252,x254,x255,x256))
% 0.19/0.63 [26]~E(x261,x262)+E(f5(x263,x264,x261,x265,x266),f5(x263,x264,x262,x265,x266))
% 0.19/0.63 [27]~E(x271,x272)+E(f5(x273,x274,x275,x271,x276),f5(x273,x274,x275,x272,x276))
% 0.19/0.63 [28]~E(x281,x282)+E(f5(x283,x284,x285,x286,x281),f5(x283,x284,x285,x286,x282))
% 0.19/0.63 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 0.19/0.63 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 0.19/0.63 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 0.19/0.63 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 0.19/0.63 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 0.19/0.63 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 0.19/0.63 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 0.19/0.63
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 cnf(81,plain,
% 0.19/0.63 (E(f1(x811,x812,x813,x813),x812)),
% 0.19/0.63 inference(rename_variables,[],[39])).
% 0.19/0.63 cnf(83,plain,
% 0.19/0.63 ($false),
% 0.19/0.63 inference(scs_inference,[],[50,41,39,81,2,56,35]),
% 0.19/0.63 ['proof']).
% 0.19/0.63 % SZS output end Proof
% 0.19/0.63 % Total time :0.000000s
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