TSTP Solution File: GEO019-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO019-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n023.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 22:42:27 EDT 2023
% Result : Unsatisfiable 0.55s 0.63s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO019-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n023.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 21:42:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.55/0.62 %-------------------------------------------
% 0.55/0.62 % File :CSE---1.6
% 0.55/0.62 % Problem :theBenchmark
% 0.55/0.62 % Transform :cnf
% 0.55/0.62 % Format :tptp:raw
% 0.55/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.62
% 0.55/0.62 % Result :Theorem 0.020000s
% 0.55/0.62 % Output :CNFRefutation 0.020000s
% 0.55/0.62 %-------------------------------------------
% 0.55/0.62 %--------------------------------------------------------------------------
% 0.55/0.62 % File : GEO019-3 : TPTP v8.1.2. Released v1.0.0.
% 0.55/0.62 % Domain : Geometry
% 0.55/0.62 % Problem : Corollary 3 to symmetries of equidistance
% 0.55/0.62 % Version : [Qua89] axioms : Augmented.
% 0.55/0.62 % English : Show that if the distance from A to B equals the distance
% 0.55/0.62 % from C to D, then the distance from C to D equals the
% 0.55/0.62 % distance from B to A.
% 0.55/0.62
% 0.55/0.62 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.55/0.62 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.55/0.62 % Source : [Qua89]
% 0.55/0.62 % Names : D4.3 [Qua89]
% 0.55/0.62
% 0.55/0.62 % Status : Unsatisfiable
% 0.55/0.62 % Rating : 0.00 v8.1.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.20 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, 0.06 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
% 0.55/0.62 % Syntax : Number of clauses : 23 ( 9 unt; 5 nHn; 19 RR)
% 0.55/0.62 % Number of literals : 63 ( 7 equ; 37 neg)
% 0.55/0.62 % Maximal clause size : 8 ( 2 avg)
% 0.55/0.62 % Maximal term depth : 2 ( 1 avg)
% 0.55/0.62 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.55/0.62 % Number of functors : 12 ( 12 usr; 7 con; 0-6 aty)
% 0.55/0.62 % Number of variables : 81 ( 3 sgn)
% 0.55/0.62 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.55/0.62
% 0.55/0.62 % Comments :
% 0.55/0.62 %--------------------------------------------------------------------------
% 0.55/0.62 %----Include Tarski geometry axioms
% 0.55/0.62 include('Axioms/GEO002-0.ax').
% 0.55/0.62 %--------------------------------------------------------------------------
% 0.55/0.62 cnf(d1,axiom,
% 0.55/0.62 equidistant(U,V,U,V) ).
% 0.55/0.62
% 0.55/0.62 cnf(d2,axiom,
% 0.55/0.62 ( ~ equidistant(U,V,W,X)
% 0.55/0.62 | equidistant(W,X,U,V) ) ).
% 0.55/0.62
% 0.55/0.62 cnf(d3,axiom,
% 0.55/0.62 ( ~ equidistant(U,V,W,X)
% 0.55/0.62 | equidistant(V,U,W,X) ) ).
% 0.55/0.62
% 0.55/0.62 cnf(u_to_v_equals_w_to_x,hypothesis,
% 0.55/0.62 equidistant(u,v,w,x) ).
% 0.55/0.62
% 0.55/0.62 cnf(prove_symmetry,negated_conjecture,
% 0.55/0.62 ~ equidistant(w,x,v,u) ).
% 0.55/0.62
% 0.55/0.62 %--------------------------------------------------------------------------
% 0.55/0.63 %-------------------------------------------
% 0.55/0.63 % Proof found
% 0.55/0.63 % SZS status Theorem for theBenchmark
% 0.55/0.63 % SZS output start Proof
% 0.58/0.63 %ClaNum:58(EqnAxiom:35)
% 0.58/0.63 %VarNum:231(SingletonVarNum:81)
% 0.58/0.63 %MaxLitNum:8
% 0.58/0.63 %MaxfuncDepth:1
% 0.58/0.63 %SharedTerms:12
% 0.58/0.63 %goalClause: 44
% 0.58/0.63 %singleGoalClaCount:1
% 0.58/0.63 [36]P1(a1,a10,a11,a12)
% 0.58/0.63 [41]~P2(a6,a8,a9)
% 0.58/0.63 [42]~P2(a8,a9,a6)
% 0.58/0.63 [43]~P2(a9,a6,a8)
% 0.58/0.63 [44]~P1(a11,a12,a10,a1)
% 0.58/0.63 [37]P1(x371,x372,x372,x371)
% 0.58/0.63 [38]P1(x381,x382,x381,x382)
% 0.58/0.63 [39]P2(x391,x392,f2(x391,x392,x393,x394))
% 0.58/0.63 [40]P1(x401,f2(x402,x401,x403,x404),x403,x404)
% 0.58/0.63 [45]~P2(x451,x452,x451)+E(x451,x452)
% 0.58/0.63 [46]~P1(x461,x462,x463,x463)+E(x461,x462)
% 0.58/0.63 [47]~P1(x473,x474,x471,x472)+P1(x471,x472,x473,x474)
% 0.58/0.63 [48]~P1(x482,x481,x483,x484)+P1(x481,x482,x483,x484)
% 0.58/0.63 [52]~P2(x525,x521,x524)+~P2(x522,x523,x524)+P2(x521,f7(x522,x523,x524,x521,x525),x522)
% 0.58/0.63 [53]~P2(x535,x534,x533)+~P2(x532,x531,x533)+P2(x531,f7(x532,x531,x533,x534,x535),x535)
% 0.58/0.63 [49]~P1(x495,x496,x491,x492)+P1(x491,x492,x493,x494)+~P1(x495,x496,x493,x494)
% 0.58/0.63 [54]~P2(x544,x542,x543)+~P2(x541,x542,x545)+E(x541,x542)+P2(x541,x543,f3(x541,x544,x542,x543,x545))
% 0.58/0.63 [55]~P2(x553,x552,x554)+~P2(x551,x552,x555)+E(x551,x552)+P2(x551,x553,f4(x551,x553,x552,x554,x555))
% 0.58/0.63 [56]~P2(x563,x562,x564)+~P2(x561,x562,x565)+E(x561,x562)+P2(f4(x561,x563,x562,x564,x565),x565,f3(x561,x563,x562,x564,x565))
% 0.58/0.63 [57]~P2(x573,x574,x575)+~P2(x572,x573,x575)+~P1(x572,x575,x572,x576)+~P1(x572,x573,x572,x571)+P2(x571,f5(x572,x573,x571,x574,x575,x576),x576)
% 0.58/0.63 [58]~P2(x583,x582,x585)+~P2(x581,x583,x585)+~P1(x581,x585,x581,x586)+~P1(x581,x583,x581,x584)+P1(x581,x582,x581,f5(x581,x583,x584,x582,x585,x586))
% 0.58/0.63 [50]P2(x505,x503,x504)+P2(x504,x505,x503)+~P1(x503,x501,x503,x502)+~P1(x505,x501,x505,x502)+~P1(x504,x501,x504,x502)+E(x501,x502)+P2(x503,x504,x505)
% 0.58/0.63 [51]~P2(x511,x512,x513)+~P1(x512,x514,x518,x516)+~P1(x512,x513,x518,x515)+~P1(x511,x514,x517,x516)+~P1(x511,x512,x517,x518)+E(x511,x512)+P1(x513,x514,x515,x516)+~P2(x517,x518,x515)
% 0.58/0.63 %EqnAxiom
% 0.58/0.63 [1]E(x11,x11)
% 0.58/0.63 [2]E(x22,x21)+~E(x21,x22)
% 0.58/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.58/0.63 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 0.58/0.63 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 0.58/0.63 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 0.58/0.63 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 0.58/0.63 [8]~E(x81,x82)+E(f5(x81,x83,x84,x85,x86,x87),f5(x82,x83,x84,x85,x86,x87))
% 0.58/0.63 [9]~E(x91,x92)+E(f5(x93,x91,x94,x95,x96,x97),f5(x93,x92,x94,x95,x96,x97))
% 0.58/0.63 [10]~E(x101,x102)+E(f5(x103,x104,x101,x105,x106,x107),f5(x103,x104,x102,x105,x106,x107))
% 0.58/0.63 [11]~E(x111,x112)+E(f5(x113,x114,x115,x111,x116,x117),f5(x113,x114,x115,x112,x116,x117))
% 0.58/0.63 [12]~E(x121,x122)+E(f5(x123,x124,x125,x126,x121,x127),f5(x123,x124,x125,x126,x122,x127))
% 0.58/0.63 [13]~E(x131,x132)+E(f5(x133,x134,x135,x136,x137,x131),f5(x133,x134,x135,x136,x137,x132))
% 0.58/0.63 [14]~E(x141,x142)+E(f7(x141,x143,x144,x145,x146),f7(x142,x143,x144,x145,x146))
% 0.58/0.63 [15]~E(x151,x152)+E(f7(x153,x151,x154,x155,x156),f7(x153,x152,x154,x155,x156))
% 0.58/0.63 [16]~E(x161,x162)+E(f7(x163,x164,x161,x165,x166),f7(x163,x164,x162,x165,x166))
% 0.58/0.63 [17]~E(x171,x172)+E(f7(x173,x174,x175,x171,x176),f7(x173,x174,x175,x172,x176))
% 0.58/0.63 [18]~E(x181,x182)+E(f7(x183,x184,x185,x186,x181),f7(x183,x184,x185,x186,x182))
% 0.58/0.63 [19]~E(x191,x192)+E(f3(x191,x193,x194,x195,x196),f3(x192,x193,x194,x195,x196))
% 0.58/0.63 [20]~E(x201,x202)+E(f3(x203,x201,x204,x205,x206),f3(x203,x202,x204,x205,x206))
% 0.58/0.63 [21]~E(x211,x212)+E(f3(x213,x214,x211,x215,x216),f3(x213,x214,x212,x215,x216))
% 0.58/0.63 [22]~E(x221,x222)+E(f3(x223,x224,x225,x221,x226),f3(x223,x224,x225,x222,x226))
% 0.58/0.63 [23]~E(x231,x232)+E(f3(x233,x234,x235,x236,x231),f3(x233,x234,x235,x236,x232))
% 0.58/0.63 [24]~E(x241,x242)+E(f4(x241,x243,x244,x245,x246),f4(x242,x243,x244,x245,x246))
% 0.58/0.63 [25]~E(x251,x252)+E(f4(x253,x251,x254,x255,x256),f4(x253,x252,x254,x255,x256))
% 0.58/0.63 [26]~E(x261,x262)+E(f4(x263,x264,x261,x265,x266),f4(x263,x264,x262,x265,x266))
% 0.58/0.63 [27]~E(x271,x272)+E(f4(x273,x274,x275,x271,x276),f4(x273,x274,x275,x272,x276))
% 0.58/0.63 [28]~E(x281,x282)+E(f4(x283,x284,x285,x286,x281),f4(x283,x284,x285,x286,x282))
% 0.58/0.63 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 0.58/0.63 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 0.58/0.63 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 0.58/0.63 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 0.58/0.63 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 0.58/0.63 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 0.58/0.63 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 0.58/0.63
% 0.58/0.63 %-------------------------------------------
% 0.58/0.63 cnf(126,plain,
% 0.58/0.63 ($false),
% 0.58/0.63 inference(scs_inference,[],[44,36,37,39,53,49]),
% 0.58/0.63 ['proof']).
% 0.58/0.63 % SZS output end Proof
% 0.58/0.63 % Total time :0.020000s
%------------------------------------------------------------------------------