TSTP Solution File: GEO002-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO002-3 : 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 : 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 Aug 30 22:42:19 EDT 2023
% Result : Unsatisfiable 0.21s 0.64s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO002-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 23:07:42 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 0.21/0.63 %-------------------------------------------
% 0.21/0.63 % File :CSE---1.6
% 0.21/0.63 % Problem :theBenchmark
% 0.21/0.63 % Transform :cnf
% 0.21/0.63 % Format :tptp:raw
% 0.21/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.63
% 0.21/0.63 % Result :Theorem 0.000000s
% 0.21/0.63 % Output :CNFRefutation 0.000000s
% 0.21/0.63 %-------------------------------------------
% 0.21/0.63 %--------------------------------------------------------------------------
% 0.21/0.63 % File : GEO002-3 : TPTP v8.1.2. Released v1.0.0.
% 0.21/0.63 % Domain : Geometry
% 0.21/0.63 % Problem : For all points x and y, x is between x and y
% 0.21/0.63 % Version : [Qua89] axioms : Augmented.
% 0.21/0.63 % English :
% 0.21/0.63
% 0.21/0.63 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.21/0.63 % : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.21/0.63 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.21/0.63 % Source : [Qua89]
% 0.21/0.63 % Names : T2 [Qua89]
% 0.21/0.63
% 0.21/0.63 % Status : Unsatisfiable
% 0.21/0.64 % Rating : 0.05 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v6.4.0, 0.07 v6.3.0, 0.00 v5.5.0, 0.05 v5.3.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.18 v4.0.0, 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
% 0.21/0.64 % Syntax : Number of clauses : 47 ( 17 unt; 9 nHn; 31 RR)
% 0.21/0.64 % Number of literals : 113 ( 25 equ; 59 neg)
% 0.21/0.64 % Maximal clause size : 8 ( 2 avg)
% 0.21/0.64 % Maximal term depth : 3 ( 1 avg)
% 0.21/0.64 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.21/0.64 % Number of functors : 11 ( 11 usr; 5 con; 0-6 aty)
% 0.21/0.64 % Number of variables : 162 ( 8 sgn)
% 0.21/0.64 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.21/0.64
% 0.21/0.64 % Comments :
% 0.21/0.64 %--------------------------------------------------------------------------
% 0.21/0.64 %----Include Tarski geometry axioms
% 0.21/0.64 include('Axioms/GEO002-0.ax').
% 0.21/0.64 %----Include definition of reflection
% 0.21/0.64 include('Axioms/GEO002-2.ax').
% 0.21/0.64 %--------------------------------------------------------------------------
% 0.21/0.64 cnf(d1,axiom,
% 0.21/0.64 equidistant(U,V,U,V) ).
% 0.21/0.64
% 0.21/0.64 cnf(d2,axiom,
% 0.21/0.64 ( ~ equidistant(U,V,W,X)
% 0.21/0.64 | equidistant(W,X,U,V) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(d3,axiom,
% 0.21/0.64 ( ~ equidistant(U,V,W,X)
% 0.21/0.64 | equidistant(V,U,W,X) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(d4_1,axiom,
% 0.21/0.64 ( ~ equidistant(U,V,W,X)
% 0.21/0.64 | equidistant(U,V,X,W) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(d4_2,axiom,
% 0.21/0.64 ( ~ equidistant(U,V,W,X)
% 0.21/0.64 | equidistant(V,U,X,W) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(d4_3,axiom,
% 0.21/0.64 ( ~ equidistant(U,V,W,X)
% 0.21/0.64 | equidistant(W,X,V,U) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(d4_4,axiom,
% 0.21/0.64 ( ~ equidistant(U,V,W,X)
% 0.21/0.64 | equidistant(X,W,U,V) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(d4_5,axiom,
% 0.21/0.64 ( ~ equidistant(U,V,W,X)
% 0.21/0.64 | equidistant(X,W,V,U) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(d5,axiom,
% 0.21/0.64 ( ~ equidistant(U,V,W,X)
% 0.21/0.64 | ~ equidistant(W,X,Y,Z)
% 0.21/0.64 | equidistant(U,V,Y,Z) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(e1,axiom,
% 0.21/0.64 V = extension(U,V,W,W) ).
% 0.21/0.64
% 0.21/0.64 cnf(b0,axiom,
% 0.21/0.64 ( Y != extension(U,V,W,X)
% 0.21/0.64 | between(U,V,Y) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(r2_1,axiom,
% 0.21/0.64 between(U,V,reflection(U,V)) ).
% 0.21/0.64
% 0.21/0.64 cnf(r2_2,axiom,
% 0.21/0.64 equidistant(V,reflection(U,V),U,V) ).
% 0.21/0.64
% 0.21/0.64 cnf(r3_1,axiom,
% 0.21/0.64 ( U != V
% 0.21/0.64 | V = reflection(U,V) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(r3_2,axiom,
% 0.21/0.64 U = reflection(U,U) ).
% 0.21/0.64
% 0.21/0.64 cnf(r4,axiom,
% 0.21/0.64 ( V != reflection(U,V)
% 0.21/0.64 | U = V ) ).
% 0.21/0.64
% 0.21/0.64 cnf(d7,axiom,
% 0.21/0.64 equidistant(U,U,V,V) ).
% 0.21/0.64
% 0.21/0.64 cnf(d8,axiom,
% 0.21/0.64 ( ~ equidistant(U,V,U1,V1)
% 0.21/0.64 | ~ equidistant(V,W,V1,W1)
% 0.21/0.64 | ~ between(U,V,W)
% 0.21/0.64 | ~ between(U1,V1,W1)
% 0.21/0.64 | equidistant(U,W,U1,W1) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(d9,axiom,
% 0.21/0.64 ( ~ between(U,V,W)
% 0.21/0.64 | ~ between(U,V,X)
% 0.21/0.64 | ~ equidistant(V,W,V,X)
% 0.21/0.64 | U = V
% 0.21/0.64 | W = X ) ).
% 0.21/0.64
% 0.21/0.64 cnf(d10_1,axiom,
% 0.21/0.64 ( ~ between(U,V,W)
% 0.21/0.64 | U = V
% 0.21/0.64 | W = extension(U,V,V,W) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(d10_2,axiom,
% 0.21/0.64 ( ~ equidistant(W,X,Y,Z)
% 0.21/0.64 | extension(U,V,W,X) = extension(U,V,Y,Z)
% 0.21/0.64 | U = V ) ).
% 0.21/0.64
% 0.21/0.64 cnf(d10_3,axiom,
% 0.21/0.64 ( extension(U,V,U,V) = extension(U,V,V,U)
% 0.21/0.64 | U = V ) ).
% 0.21/0.64
% 0.21/0.64 cnf(r5,axiom,
% 0.21/0.64 equidistant(V,U,V,reflection(reflection(U,V),V)) ).
% 0.21/0.64
% 0.21/0.64 cnf(r6,axiom,
% 0.21/0.64 U = reflection(reflection(U,V),V) ).
% 0.21/0.64
% 0.21/0.64 cnf(t3,axiom,
% 0.21/0.64 between(U,V,V) ).
% 0.21/0.64
% 0.21/0.64 cnf(b1,axiom,
% 0.21/0.64 ( ~ between(U,W,X)
% 0.21/0.64 | U != X
% 0.21/0.64 | between(V,W,X) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(t1,axiom,
% 0.21/0.64 ( ~ between(U,V,W)
% 0.21/0.64 | between(W,V,U) ) ).
% 0.21/0.64
% 0.21/0.64 cnf(prove_a_between_a_and_b,negated_conjecture,
% 0.21/0.64 ~ between(a,a,b) ).
% 0.21/0.64
% 0.21/0.64 %--------------------------------------------------------------------------
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 % Proof found
% 0.21/0.64 % SZS status Theorem for theBenchmark
% 0.21/0.64 % SZS output start Proof
% 0.21/0.64 %ClaNum:81(EqnAxiom:35)
% 0.21/0.64 %VarNum:421(SingletonVarNum:155)
% 0.21/0.64 %MaxLitNum:8
% 0.21/0.64 %MaxfuncDepth:2
% 0.21/0.64 %SharedTerms:9
% 0.21/0.64 %goalClause: 51
% 0.21/0.64 %singleGoalClaCount:1
% 0.21/0.64 [48]~P1(a7,a9,a10)
% 0.21/0.64 [49]~P1(a9,a10,a7)
% 0.21/0.64 [50]~P1(a10,a7,a9)
% 0.21/0.64 [51]~P1(a2,a2,a3)
% 0.21/0.64 [36]P1(x361,x362,x362)
% 0.21/0.64 [37]P2(x371,x372,x372,x371)
% 0.21/0.64 [38]P2(x381,x382,x381,x382)
% 0.21/0.64 [39]P2(x391,x391,x392,x392)
% 0.21/0.64 [46]E(f1(f1(x461,x462,x461,x462),x462,f1(x461,x462,x461,x462),x462),x461)
% 0.21/0.64 [47]P2(x471,x472,x471,f1(f1(x472,x471,x472,x471),x471,f1(x472,x471,x472,x471),x471))
% 0.21/0.64 [40]E(f1(x401,x402,x403,x403),x402)
% 0.21/0.64 [42]P1(x421,x422,f1(x421,x422,x423,x424))
% 0.21/0.64 [44]P2(x441,f1(x442,x441,x443,x444),x443,x444)
% 0.21/0.64 [52]~P1(x521,x522,x521)+E(x521,x522)
% 0.21/0.64 [55]~E(x551,x552)+E(f1(x551,x552,x551,x552),x552)
% 0.21/0.64 [58]E(x581,x582)+~E(f1(x582,x581,x582,x581),x581)
% 0.21/0.64 [60]E(x601,x602)+E(f1(x601,x602,x601,x602),f1(x601,x602,x602,x601))
% 0.21/0.64 [53]~P1(x533,x532,x531)+P1(x531,x532,x533)
% 0.21/0.64 [57]~P2(x571,x572,x573,x573)+E(x571,x572)
% 0.21/0.64 [62]~P2(x624,x623,x622,x621)+P2(x621,x622,x623,x624)
% 0.21/0.64 [63]~P2(x633,x634,x632,x631)+P2(x631,x632,x633,x634)
% 0.21/0.64 [64]~P2(x644,x643,x641,x642)+P2(x641,x642,x643,x644)
% 0.21/0.64 [65]~P2(x653,x654,x651,x652)+P2(x651,x652,x653,x654)
% 0.21/0.64 [66]~P2(x662,x661,x664,x663)+P2(x661,x662,x663,x664)
% 0.21/0.64 [67]~P2(x672,x671,x673,x674)+P2(x671,x672,x673,x674)
% 0.21/0.64 [68]~P2(x681,x682,x684,x683)+P2(x681,x682,x683,x684)
% 0.21/0.64 [59]P1(x591,x592,x593)+~E(x593,f1(x591,x592,x594,x595))
% 0.21/0.64 [56]~P1(x561,x562,x563)+E(x561,x562)+E(f1(x561,x562,x562,x563),x563)
% 0.21/0.64 [54]~P1(x544,x542,x543)+P1(x541,x542,x543)+~E(x544,x543)
% 0.21/0.64 [75]~P1(x755,x751,x754)+~P1(x752,x753,x754)+P1(x751,f8(x752,x753,x754,x751,x755),x752)
% 0.21/0.64 [76]~P1(x765,x764,x763)+~P1(x762,x761,x763)+P1(x761,f8(x762,x761,x763,x764,x765),x765)
% 0.21/0.64 [70]~P2(x705,x706,x701,x702)+P2(x701,x702,x703,x704)+~P2(x705,x706,x703,x704)
% 0.21/0.64 [71]~P2(x711,x712,x715,x716)+P2(x711,x712,x713,x714)+~P2(x715,x716,x713,x714)
% 0.21/0.64 [69]~P2(x693,x694,x695,x696)+E(x691,x692)+E(f1(x691,x692,x693,x694),f1(x691,x692,x695,x696))
% 0.21/0.64 [77]~P1(x774,x772,x773)+~P1(x771,x772,x775)+E(x771,x772)+P1(x771,x773,f4(x771,x774,x772,x773,x775))
% 0.21/0.64 [78]~P1(x783,x782,x784)+~P1(x781,x782,x785)+E(x781,x782)+P1(x781,x783,f5(x781,x783,x782,x784,x785))
% 0.21/0.64 [79]~P1(x793,x792,x794)+~P1(x791,x792,x795)+E(x791,x792)+P1(f5(x791,x793,x792,x794,x795),x795,f4(x791,x793,x792,x794,x795))
% 0.21/0.64 [61]~P1(x613,x614,x612)+~P1(x613,x614,x611)+~P2(x614,x611,x614,x612)+E(x611,x612)+E(x613,x614)
% 0.21/0.64 [72]~P2(x726,x722,x725,x724)+~P2(x721,x726,x723,x725)+P2(x721,x722,x723,x724)+~P1(x723,x725,x724)+~P1(x721,x726,x722)
% 0.21/0.64 [80]~P1(x803,x804,x805)+~P1(x802,x803,x805)+~P2(x802,x805,x802,x806)+~P2(x802,x803,x802,x801)+P1(x801,f6(x802,x803,x801,x804,x805,x806),x806)
% 0.21/0.64 [81]~P1(x813,x812,x815)+~P1(x811,x813,x815)+~P2(x811,x815,x811,x816)+~P2(x811,x813,x811,x814)+P2(x811,x812,x811,f6(x811,x813,x814,x812,x815,x816))
% 0.21/0.64 [73]P1(x735,x733,x734)+P1(x734,x735,x733)+~P2(x733,x731,x733,x732)+~P2(x735,x731,x735,x732)+~P2(x734,x731,x734,x732)+E(x731,x732)+P1(x733,x734,x735)
% 0.21/0.64 [74]~P1(x741,x742,x743)+~P2(x742,x744,x748,x746)+~P2(x742,x743,x748,x745)+~P2(x741,x744,x747,x746)+~P2(x741,x742,x747,x748)+E(x741,x742)+P2(x743,x744,x745,x746)+~P1(x747,x748,x745)
% 0.21/0.64 %EqnAxiom
% 0.21/0.64 [1]E(x11,x11)
% 0.21/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.64 [4]~E(x41,x42)+E(f1(x41,x43,x44,x45),f1(x42,x43,x44,x45))
% 0.21/0.64 [5]~E(x51,x52)+E(f1(x53,x51,x54,x55),f1(x53,x52,x54,x55))
% 0.21/0.64 [6]~E(x61,x62)+E(f1(x63,x64,x61,x65),f1(x63,x64,x62,x65))
% 0.21/0.64 [7]~E(x71,x72)+E(f1(x73,x74,x75,x71),f1(x73,x74,x75,x72))
% 0.21/0.64 [8]~E(x81,x82)+E(f6(x81,x83,x84,x85,x86,x87),f6(x82,x83,x84,x85,x86,x87))
% 0.21/0.64 [9]~E(x91,x92)+E(f6(x93,x91,x94,x95,x96,x97),f6(x93,x92,x94,x95,x96,x97))
% 0.21/0.64 [10]~E(x101,x102)+E(f6(x103,x104,x101,x105,x106,x107),f6(x103,x104,x102,x105,x106,x107))
% 0.21/0.64 [11]~E(x111,x112)+E(f6(x113,x114,x115,x111,x116,x117),f6(x113,x114,x115,x112,x116,x117))
% 0.21/0.64 [12]~E(x121,x122)+E(f6(x123,x124,x125,x126,x121,x127),f6(x123,x124,x125,x126,x122,x127))
% 0.21/0.64 [13]~E(x131,x132)+E(f6(x133,x134,x135,x136,x137,x131),f6(x133,x134,x135,x136,x137,x132))
% 0.21/0.64 [14]~E(x141,x142)+E(f8(x141,x143,x144,x145,x146),f8(x142,x143,x144,x145,x146))
% 0.21/0.64 [15]~E(x151,x152)+E(f8(x153,x151,x154,x155,x156),f8(x153,x152,x154,x155,x156))
% 0.21/0.64 [16]~E(x161,x162)+E(f8(x163,x164,x161,x165,x166),f8(x163,x164,x162,x165,x166))
% 0.21/0.64 [17]~E(x171,x172)+E(f8(x173,x174,x175,x171,x176),f8(x173,x174,x175,x172,x176))
% 0.21/0.64 [18]~E(x181,x182)+E(f8(x183,x184,x185,x186,x181),f8(x183,x184,x185,x186,x182))
% 0.21/0.64 [19]~E(x191,x192)+E(f4(x191,x193,x194,x195,x196),f4(x192,x193,x194,x195,x196))
% 0.21/0.64 [20]~E(x201,x202)+E(f4(x203,x201,x204,x205,x206),f4(x203,x202,x204,x205,x206))
% 0.21/0.64 [21]~E(x211,x212)+E(f4(x213,x214,x211,x215,x216),f4(x213,x214,x212,x215,x216))
% 0.21/0.64 [22]~E(x221,x222)+E(f4(x223,x224,x225,x221,x226),f4(x223,x224,x225,x222,x226))
% 0.21/0.64 [23]~E(x231,x232)+E(f4(x233,x234,x235,x236,x231),f4(x233,x234,x235,x236,x232))
% 0.21/0.64 [24]~E(x241,x242)+E(f5(x241,x243,x244,x245,x246),f5(x242,x243,x244,x245,x246))
% 0.21/0.64 [25]~E(x251,x252)+E(f5(x253,x251,x254,x255,x256),f5(x253,x252,x254,x255,x256))
% 0.21/0.64 [26]~E(x261,x262)+E(f5(x263,x264,x261,x265,x266),f5(x263,x264,x262,x265,x266))
% 0.21/0.64 [27]~E(x271,x272)+E(f5(x273,x274,x275,x271,x276),f5(x273,x274,x275,x272,x276))
% 0.21/0.64 [28]~E(x281,x282)+E(f5(x283,x284,x285,x286,x281),f5(x283,x284,x285,x286,x282))
% 0.21/0.64 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 0.21/0.64 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 0.21/0.64 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 0.21/0.64 [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 0.21/0.64 [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 0.21/0.64 [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 0.21/0.64 [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 0.21/0.64
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 cnf(82,plain,
% 0.21/0.64 ($false),
% 0.21/0.64 inference(scs_inference,[],[36,51,53]),
% 0.21/0.64 ['proof']).
% 0.21/0.64 % SZS output end Proof
% 0.21/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------