%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO027-3 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 : Mon Jun 24 06:03:22 EDT 2024
% Result : Unsatisfiable 0.55s 0.69s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO027-3 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n019.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 : Fri Jun 21 07:48:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.54/0.58 start to proof:theBenchmark
% 0.55/0.69 %-------------------------------------------
% 0.55/0.69 % File :CSE---1.7
% 0.55/0.69 % Problem :theBenchmark
% 0.55/0.69 % Transform :cnf
% 0.55/0.69 % Format :tptp:raw
% 0.55/0.69 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.69
% 0.55/0.69 % Result :Theorem 0.020000s
% 0.55/0.69 % Output :CNFRefutation 0.020000s
% 0.55/0.69 %-------------------------------------------
% 0.55/0.69 %--------------------------------------------------------------------------
% 0.55/0.69 % File : GEO027-3 : TPTP v8.2.0. Released v1.0.0.
% 0.55/0.69 % Domain : Geometry
% 0.55/0.69 % Problem : Corollary 1 to unique extension
% 0.55/0.69 % Version : [Qua89] axioms : Augmented.
% 0.55/0.69 % English :
% 0.55/0.69
% 0.55/0.69 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.55/0.69 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.55/0.69 % Source : [Qua89]
% 0.55/0.69 % Names : D10.1 [Qua89]
% 0.55/0.69
% 0.55/0.69 % Status : Unsatisfiable
% 0.55/0.69 % Rating : 0.05 v8.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.20 v5.4.0, 0.15 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, 0.27 v4.0.0, 0.09 v3.7.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.14 v3.2.0, 0.00 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.00 v2.5.0, 0.17 v2.4.0, 0.00 v2.2.1, 0.22 v2.2.0, 0.11 v2.1.0, 0.11 v2.0.0
% 0.55/0.69 % Syntax : Number of clauses : 41 ( 16 unt; 6 nHn; 31 RR)
% 0.55/0.69 % Number of literals : 99 ( 19 equ; 55 neg)
% 0.55/0.69 % Maximal clause size : 8 ( 2 avg)
% 0.55/0.69 % Maximal term depth : 2 ( 1 avg)
% 0.55/0.69 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.55/0.69 % Number of functors : 12 ( 12 usr; 6 con; 0-6 aty)
% 0.55/0.69 % Number of variables : 138 ( 6 sgn)
% 0.55/0.69 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.55/0.69
% 0.55/0.69 % Comments :
% 0.55/0.69 %--------------------------------------------------------------------------
% 0.55/0.69 %----Include Tarski geometry axioms
% 0.55/0.69 include('Axioms/GEO002-0.ax').
% 0.55/0.69 %----Include definition of reflection
% 0.55/0.69 include('Axioms/GEO002-2.ax').
% 0.55/0.69 %--------------------------------------------------------------------------
% 0.55/0.69 cnf(d1,axiom,
% 0.55/0.69 equidistant(U,V,U,V) ).
% 0.55/0.69
% 0.55/0.69 cnf(d2,axiom,
% 0.55/0.69 ( ~ equidistant(U,V,W,X)
% 0.55/0.69 | equidistant(W,X,U,V) ) ).
% 0.55/0.69
% 0.55/0.69 cnf(d3,axiom,
% 0.55/0.69 ( ~ equidistant(U,V,W,X)
% 0.55/0.69 | equidistant(V,U,W,X) ) ).
% 0.55/0.69
% 0.55/0.69 cnf(d4_1,axiom,
% 0.55/0.69 ( ~ equidistant(U,V,W,X)
% 0.55/0.69 | equidistant(U,V,X,W) ) ).
% 0.55/0.69
% 0.55/0.69 cnf(d4_2,axiom,
% 0.55/0.69 ( ~ equidistant(U,V,W,X)
% 0.55/0.69 | equidistant(V,U,X,W) ) ).
% 0.55/0.69
% 0.55/0.69 cnf(d4_3,axiom,
% 0.55/0.69 ( ~ equidistant(U,V,W,X)
% 0.55/0.69 | equidistant(W,X,V,U) ) ).
% 0.55/0.69
% 0.55/0.69 cnf(d4_4,axiom,
% 0.55/0.69 ( ~ equidistant(U,V,W,X)
% 0.55/0.69 | equidistant(X,W,U,V) ) ).
% 0.55/0.69
% 0.55/0.69 cnf(d4_5,axiom,
% 0.55/0.69 ( ~ equidistant(U,V,W,X)
% 0.55/0.69 | equidistant(X,W,V,U) ) ).
% 0.55/0.69
% 0.55/0.69 cnf(d5,axiom,
% 0.55/0.69 ( ~ equidistant(U,V,W,X)
% 0.55/0.69 | ~ equidistant(W,X,Y,Z)
% 0.55/0.69 | equidistant(U,V,Y,Z) ) ).
% 0.55/0.69
% 0.55/0.69 cnf(e1,axiom,
% 0.55/0.69 V = extension(U,V,W,W) ).
% 0.55/0.69
% 0.55/0.69 cnf(b0,axiom,
% 0.55/0.69 ( Y != extension(U,V,W,X)
% 0.55/0.69 | between(U,V,Y) ) ).
% 0.55/0.69
% 0.55/0.69 cnf(r2_1,axiom,
% 0.55/0.69 between(U,V,reflection(U,V)) ).
% 0.55/0.69
% 0.55/0.69 cnf(r2_2,axiom,
% 0.55/0.69 equidistant(V,reflection(U,V),U,V) ).
% 0.55/0.69
% 0.55/0.69 cnf(r3_1,axiom,
% 0.55/0.69 ( U != V
% 0.55/0.69 | V = reflection(U,V) ) ).
% 0.55/0.69
% 0.55/0.69 cnf(r3_2,axiom,
% 0.55/0.69 U = reflection(U,U) ).
% 0.55/0.69
% 0.55/0.69 cnf(r4,axiom,
% 0.55/0.69 ( V != reflection(U,V)
% 0.55/0.69 | U = V ) ).
% 0.55/0.69
% 0.55/0.69 cnf(d7,axiom,
% 0.55/0.69 equidistant(U,U,V,V) ).
% 0.55/0.69
% 0.55/0.69 cnf(d8,axiom,
% 0.55/0.69 ( ~ equidistant(U,V,U1,V1)
% 0.55/0.69 | ~ equidistant(V,W,V1,W1)
% 0.55/0.69 | ~ between(U,V,W)
% 0.55/0.69 | ~ between(U1,V1,W1)
% 0.55/0.69 | equidistant(U,W,U1,W1) ) ).
% 0.55/0.69
% 0.55/0.69 cnf(d9,axiom,
% 0.55/0.69 ( ~ between(U,V,W)
% 0.55/0.69 | ~ between(U,V,X)
% 0.55/0.69 | ~ equidistant(V,W,V,X)
% 0.55/0.69 | U = V
% 0.55/0.69 | W = X ) ).
% 0.55/0.69
% 0.55/0.69 cnf(v_between_u_and_w,hypothesis,
% 0.55/0.69 between(u,v,w) ).
% 0.55/0.69
% 0.55/0.69 cnf(u_not_v,hypothesis,
% 0.55/0.69 u != v ).
% 0.55/0.69
% 0.55/0.69 cnf(prove_w_is_an_extension,negated_conjecture,
% 0.55/0.69 w != extension(u,v,v,w) ).
% 0.55/0.69
% 0.55/0.69 %--------------------------------------------------------------------------
% 0.55/0.69 %-------------------------------------------
% 0.55/0.69 % Proof found
% 0.55/0.69 % SZS status Theorem for theBenchmark
% 0.55/0.69 % SZS output start Proof
% 0.55/0.70 %ClaNum:75(EqnAxiom:35)
% 0.55/0.70 %VarNum:346(SingletonVarNum:131)
% 0.55/0.70 %MaxLitNum:8
% 0.55/0.70 %MaxfuncDepth:1
% 0.55/0.70 %SharedTerms:13
% 0.55/0.70 %goalClause: 50
% 0.55/0.70 %singleGoalClaCount:1
% 0.55/0.70 [36]P1(a1,a10,a11)
% 0.55/0.70 [46]~E(a10,a1)
% 0.55/0.70 [47]~P1(a6,a8,a9)
% 0.55/0.70 [48]~P1(a8,a9,a6)
% 0.55/0.70 [49]~P1(a9,a6,a8)
% 0.55/0.70 [50]~E(f2(a1,a10,a10,a11),a11)
% 0.55/0.70 [37]P2(x371,x372,x372,x371)
% 0.55/0.70 [38]P2(x381,x382,x381,x382)
% 0.55/0.70 [39]P2(x391,x391,x392,x392)
% 0.55/0.70 [40]E(f2(x401,x402,x403,x403),x402)
% 0.55/0.70 [42]P1(x421,x422,f2(x421,x422,x423,x424))
% 0.55/0.70 [44]P2(x441,f2(x442,x441,x443,x444),x443,x444)
% 0.55/0.70 [51]~P1(x511,x512,x511)+E(x511,x512)
% 0.55/0.70 [52]~E(x521,x522)+E(f2(x521,x522,x521,x522),x522)
% 0.55/0.70 [54]E(x541,x542)+~E(f2(x542,x541,x542,x541),x541)
% 0.55/0.70 [53]~P2(x531,x532,x533,x533)+E(x531,x532)
% 0.55/0.70 [57]~P2(x574,x573,x572,x571)+P2(x571,x572,x573,x574)
% 0.55/0.70 [58]~P2(x583,x584,x582,x581)+P2(x581,x582,x583,x584)
% 0.55/0.70 [59]~P2(x594,x593,x591,x592)+P2(x591,x592,x593,x594)
% 0.55/0.70 [60]~P2(x603,x604,x601,x602)+P2(x601,x602,x603,x604)
% 0.55/0.70 [61]~P2(x612,x611,x614,x613)+P2(x611,x612,x613,x614)
% 0.55/0.70 [62]~P2(x622,x621,x623,x624)+P2(x621,x622,x623,x624)
% 0.55/0.70 [63]~P2(x631,x632,x634,x633)+P2(x631,x632,x633,x634)
% 0.55/0.70 [55]P1(x551,x552,x553)+~E(x553,f2(x551,x552,x554,x555))
% 0.55/0.70 [69]~P1(x695,x691,x694)+~P1(x692,x693,x694)+P1(x691,f7(x692,x693,x694,x691,x695),x692)
% 0.55/0.70 [70]~P1(x705,x704,x703)+~P1(x702,x701,x703)+P1(x701,f7(x702,x701,x703,x704,x705),x705)
% 0.55/0.70 [64]~P2(x645,x646,x641,x642)+P2(x641,x642,x643,x644)+~P2(x645,x646,x643,x644)
% 0.55/0.70 [65]~P2(x651,x652,x655,x656)+P2(x651,x652,x653,x654)+~P2(x655,x656,x653,x654)
% 0.55/0.70 [71]~P1(x714,x712,x713)+~P1(x711,x712,x715)+E(x711,x712)+P1(x711,x713,f3(x711,x714,x712,x713,x715))
% 0.55/0.70 [72]~P1(x723,x722,x724)+~P1(x721,x722,x725)+E(x721,x722)+P1(x721,x723,f4(x721,x723,x722,x724,x725))
% 0.55/0.70 [73]~P1(x733,x732,x734)+~P1(x731,x732,x735)+E(x731,x732)+P1(f4(x731,x733,x732,x734,x735),x735,f3(x731,x733,x732,x734,x735))
% 0.55/0.70 [56]~P1(x563,x564,x562)+~P1(x563,x564,x561)+~P2(x564,x561,x564,x562)+E(x561,x562)+E(x563,x564)
% 0.55/0.70 [66]~P2(x666,x662,x665,x664)+~P2(x661,x666,x663,x665)+P2(x661,x662,x663,x664)+~P1(x663,x665,x664)+~P1(x661,x666,x662)
% 0.55/0.70 [74]~P1(x743,x744,x745)+~P1(x742,x743,x745)+~P2(x742,x745,x742,x746)+~P2(x742,x743,x742,x741)+P1(x741,f5(x742,x743,x741,x744,x745,x746),x746)
% 0.55/0.70 [75]~P1(x753,x752,x755)+~P1(x751,x753,x755)+~P2(x751,x755,x751,x756)+~P2(x751,x753,x751,x754)+P2(x751,x752,x751,f5(x751,x753,x754,x752,x755,x756))
% 0.55/0.70 [67]P1(x675,x673,x674)+P1(x674,x675,x673)+~P2(x673,x671,x673,x672)+~P2(x675,x671,x675,x672)+~P2(x674,x671,x674,x672)+E(x671,x672)+P1(x673,x674,x675)
% 0.55/0.70 [68]~P1(x681,x682,x683)+~P2(x682,x684,x688,x686)+~P2(x682,x683,x688,x685)+~P2(x681,x684,x687,x686)+~P2(x681,x682,x687,x688)+E(x681,x682)+P2(x683,x684,x685,x686)+~P1(x687,x688,x685)
% 0.55/0.70 %EqnAxiom
% 0.55/0.70 [1]E(x11,x11)
% 0.55/0.70 [2]E(x22,x21)+~E(x21,x22)
% 0.55/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.55/0.70 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 0.55/0.70 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 0.55/0.70 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 0.55/0.70 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 0.55/0.70 [8]~E(x81,x82)+E(f5(x81,x83,x84,x85,x86,x87),f5(x82,x83,x84,x85,x86,x87))
% 0.55/0.70 [9]~E(x91,x92)+E(f5(x93,x91,x94,x95,x96,x97),f5(x93,x92,x94,x95,x96,x97))
% 0.55/0.70 [10]~E(x101,x102)+E(f5(x103,x104,x101,x105,x106,x107),f5(x103,x104,x102,x105,x106,x107))
% 0.55/0.70 [11]~E(x111,x112)+E(f5(x113,x114,x115,x111,x116,x117),f5(x113,x114,x115,x112,x116,x117))
% 0.55/0.70 [12]~E(x121,x122)+E(f5(x123,x124,x125,x126,x121,x127),f5(x123,x124,x125,x126,x122,x127))
% 0.55/0.70 [13]~E(x131,x132)+E(f5(x133,x134,x135,x136,x137,x131),f5(x133,x134,x135,x136,x137,x132))
% 0.55/0.70 [14]~E(x141,x142)+E(f7(x141,x143,x144,x145,x146),f7(x142,x143,x144,x145,x146))
% 0.55/0.70 [15]~E(x151,x152)+E(f7(x153,x151,x154,x155,x156),f7(x153,x152,x154,x155,x156))
% 0.55/0.70 [16]~E(x161,x162)+E(f7(x163,x164,x161,x165,x166),f7(x163,x164,x162,x165,x166))
% 0.55/0.70 [17]~E(x171,x172)+E(f7(x173,x174,x175,x171,x176),f7(x173,x174,x175,x172,x176))
% 0.55/0.70 [18]~E(x181,x182)+E(f7(x183,x184,x185,x186,x181),f7(x183,x184,x185,x186,x182))
% 0.55/0.70 [19]~E(x191,x192)+E(f3(x191,x193,x194,x195,x196),f3(x192,x193,x194,x195,x196))
% 0.55/0.70 [20]~E(x201,x202)+E(f3(x203,x201,x204,x205,x206),f3(x203,x202,x204,x205,x206))
% 0.55/0.70 [21]~E(x211,x212)+E(f3(x213,x214,x211,x215,x216),f3(x213,x214,x212,x215,x216))
% 0.55/0.70 [22]~E(x221,x222)+E(f3(x223,x224,x225,x221,x226),f3(x223,x224,x225,x222,x226))
% 0.55/0.70 [23]~E(x231,x232)+E(f3(x233,x234,x235,x236,x231),f3(x233,x234,x235,x236,x232))
% 0.55/0.70 [24]~E(x241,x242)+E(f4(x241,x243,x244,x245,x246),f4(x242,x243,x244,x245,x246))
% 0.55/0.70 [25]~E(x251,x252)+E(f4(x253,x251,x254,x255,x256),f4(x253,x252,x254,x255,x256))
% 0.55/0.70 [26]~E(x261,x262)+E(f4(x263,x264,x261,x265,x266),f4(x263,x264,x262,x265,x266))
% 0.55/0.70 [27]~E(x271,x272)+E(f4(x273,x274,x275,x271,x276),f4(x273,x274,x275,x272,x276))
% 0.55/0.70 [28]~E(x281,x282)+E(f4(x283,x284,x285,x286,x281),f4(x283,x284,x285,x286,x282))
% 0.55/0.70 [29]P1(x292,x293,x294)+~E(x291,x292)+~P1(x291,x293,x294)
% 0.55/0.70 [30]P1(x303,x302,x304)+~E(x301,x302)+~P1(x303,x301,x304)
% 0.55/0.70 [31]P1(x313,x314,x312)+~E(x311,x312)+~P1(x313,x314,x311)
% 0.55/0.70 [32]P2(x322,x323,x324,x325)+~E(x321,x322)+~P2(x321,x323,x324,x325)
% 0.55/0.70 [33]P2(x333,x332,x334,x335)+~E(x331,x332)+~P2(x333,x331,x334,x335)
% 0.55/0.70 [34]P2(x343,x344,x342,x345)+~E(x341,x342)+~P2(x343,x344,x341,x345)
% 0.55/0.70 [35]P2(x353,x354,x355,x352)+~E(x351,x352)+~P2(x353,x354,x355,x351)
% 0.55/0.70
% 0.55/0.70 %-------------------------------------------
% 0.55/0.70 cnf(82,plain,
% 0.55/0.70 (E(x821,f2(x822,x821,x823,x823))),
% 0.55/0.70 inference(scs_inference,[],[50,40,51,53,2])).
% 0.55/0.70 cnf(84,plain,
% 0.55/0.70 (E(f2(x841,x842,x843,x843),x842)),
% 0.55/0.70 inference(rename_variables,[],[40])).
% 0.55/0.70 cnf(92,plain,
% 0.55/0.70 (~E(f2(a1,a10,a10,a11),f2(x921,a11,x922,x922))),
% 0.55/0.70 inference(scs_inference,[],[50,40,84,51,53,2,55,57,58,59,3])).
% 0.55/0.70 cnf(93,plain,
% 0.55/0.70 (E(f2(x931,x932,x933,x933),x932)),
% 0.55/0.70 inference(rename_variables,[],[40])).
% 0.55/0.70 cnf(95,plain,
% 0.55/0.70 (P2(x951,f2(x952,x951,x953,x954),x953,x954)),
% 0.55/0.70 inference(rename_variables,[],[44])).
% 0.55/0.70 cnf(96,plain,
% 0.55/0.70 (P2(x961,x962,x962,x961)),
% 0.55/0.70 inference(rename_variables,[],[37])).
% 0.55/0.70 cnf(99,plain,
% 0.55/0.70 (P1(x991,x992,f2(x991,x992,x993,x994))),
% 0.55/0.70 inference(rename_variables,[],[42])).
% 0.55/0.70 cnf(101,plain,
% 0.55/0.70 (P1(x1011,x1012,f2(x1011,x1012,x1013,x1014))),
% 0.55/0.70 inference(rename_variables,[],[42])).
% 0.55/0.70 cnf(103,plain,
% 0.55/0.70 (P1(x1031,x1032,f2(x1031,x1032,x1033,x1034))),
% 0.55/0.70 inference(rename_variables,[],[42])).
% 0.55/0.70 cnf(107,plain,
% 0.55/0.70 (P2(x1071,f2(x1072,x1071,x1073,x1074),x1073,x1074)),
% 0.55/0.70 inference(rename_variables,[],[44])).
% 0.55/0.70 cnf(109,plain,
% 0.55/0.70 (P2(x1091,f2(x1092,x1091,x1093,x1094),x1093,x1094)),
% 0.55/0.70 inference(rename_variables,[],[44])).
% 0.55/0.70 cnf(111,plain,
% 0.55/0.70 (P2(x1111,f2(x1112,x1111,x1113,x1114),x1113,x1114)),
% 0.55/0.70 inference(rename_variables,[],[44])).
% 0.55/0.70 cnf(112,plain,
% 0.55/0.70 (E(a1,a10)),
% 0.55/0.70 inference(scs_inference,[],[50,37,96,44,95,107,109,111,42,99,101,103,40,84,93,36,47,51,53,2,55,57,58,59,3,64,29,30,31,32,33,34,35,56])).
% 0.55/0.70 cnf(128,plain,
% 0.55/0.70 ($false),
% 0.55/0.70 inference(scs_inference,[],[82,112,92,46,53,57,55,2]),
% 0.55/0.70 ['proof']).
% 0.55/0.70 % SZS output end Proof
% 0.55/0.70 % Total time :0.020000s
%------------------------------------------------------------------------------