%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : NUN087+2 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 13:29:44 EDT 2024
% Result : Theorem 58.45s 58.56s
% Output : CNFRefutation 58.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUN087+2 : TPTP v8.2.0. Released v7.3.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n022.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 Jun 18 21:00:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 58.45/58.55 %-------------------------------------------
% 58.45/58.55 % File :CSE---1.7
% 58.45/58.55 % Problem :theBenchmark
% 58.45/58.55 % Transform :cnf
% 58.45/58.55 % Format :tptp:raw
% 58.45/58.55 % Command :java -jar mcs_scs.jar %d %s
% 58.45/58.55
% 58.45/58.55 % Result :Theorem 57.950000s
% 58.45/58.55 % Output :CNFRefutation 57.950000s
% 58.45/58.55 %-------------------------------------------
% 58.45/58.56 %------------------------------------------------------------------------------
% 58.45/58.56 % File : NUN087+2 : TPTP v8.2.0. Released v7.3.0.
% 58.45/58.56 % Domain : Number Theory
% 58.45/58.56 % Problem : Robinson arithmetic: 0 * 0 = 0
% 58.45/58.56 % Version : Especial.
% 58.45/58.56 % English :
% 58.45/58.56
% 58.45/58.56 % Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% 58.45/58.56 % : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% 58.45/58.56 % : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% 58.45/58.56 % Source : [Lam18]
% 58.45/58.56 % Names : zerotimeszeroeqzero [Lam18]
% 58.45/58.56
% 58.45/58.56 % Status : Theorem
% 58.45/58.56 % Rating : 0.11 v8.2.0, 0.14 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.13 v7.3.0
% 58.45/58.56 % Syntax : Number of formulae : 12 ( 0 unt; 0 def)
% 58.45/58.56 % Number of atoms : 48 ( 18 equ)
% 58.45/58.56 % Maximal formula atoms : 5 ( 4 avg)
% 58.45/58.56 % Number of connectives : 50 ( 14 ~; 10 |; 26 &)
% 58.45/58.56 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 58.45/58.56 % Maximal formula depth : 9 ( 7 avg)
% 58.45/58.56 % Maximal term depth : 1 ( 1 avg)
% 58.45/58.56 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty)
% 58.45/58.56 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 58.45/58.56 % Number of variables : 46 ( 23 !; 23 ?)
% 58.45/58.56 % SPC : FOF_THM_RFO_SEQ
% 58.45/58.56
% 58.45/58.56 % Comments : Translated to FOL with equality.
% 58.45/58.56 %------------------------------------------------------------------------------
% 58.45/58.56 include('Axioms/NUM008+0.ax').
% 58.45/58.56 %------------------------------------------------------------------------------
% 58.45/58.56 fof(zerotimeszeroeqzero,conjecture,
% 58.45/58.56 ? [Y1] :
% 58.45/58.56 ( ? [Y2] :
% 58.45/58.56 ( r1(Y2)
% 58.45/58.56 & r4(Y2,Y2,Y1) )
% 58.45/58.56 & ? [Y3] :
% 58.45/58.56 ( r1(Y3)
% 58.45/58.56 & Y1 = Y3 ) ) ).
% 58.45/58.56
% 58.45/58.56 %------------------------------------------------------------------------------
% 58.45/58.56 %-------------------------------------------
% 58.45/58.56 % Proof found
% 58.45/58.56 % SZS status Theorem for theBenchmark
% 58.45/58.56 % SZS output start Proof
% 58.45/58.57 %ClaNum:63(EqnAxiom:35)
% 58.45/58.57 %VarNum:112(SingletonVarNum:53)
% 58.45/58.57 %MaxLitNum:4
% 58.45/58.57 %MaxfuncDepth:1
% 58.45/58.57 %SharedTerms:1
% 58.45/58.57 %goalClause: 63
% 58.45/58.57 [36]P1(f1(x361))
% 58.45/58.57 [37]P1(f4(x371))
% 58.45/58.57 [38]P1(f5(x381))
% 58.45/58.57 [41]P3(x411,f1(x411),x411)
% 58.45/58.57 [43]P4(x431,f5(x431),f4(x431))
% 58.45/58.57 [39]P2(x391,f6(x392,x391))
% 58.45/58.57 [40]P2(x401,f2(x402,x401))
% 58.45/58.57 [42]P2(f15(x421,x422),f7(x421,x422))
% 58.45/58.57 [44]P3(x441,x442,f15(x441,x442))
% 58.45/58.57 [45]P4(x451,x452,f3(x451,x452))
% 58.45/58.57 [46]P3(x461,f6(x461,x462),f7(x461,x462))
% 58.45/58.57 [47]P4(x471,f2(x471,x472),f16(x471,x472))
% 58.45/58.57 [48]P3(f3(x481,x482),x481,f16(x481,x482))
% 58.45/58.57 [49]P1(x491)+~E(x491,a8)
% 58.45/58.57 [50]~P1(x501)+E(x501,a8)
% 58.45/58.57 [51]E(f11(x511),x511)+E(f9(x511),x511)
% 58.45/58.57 [52]E(f11(x521),x521)+P1(f9(x521))
% 58.45/58.57 [55]P2(f10(x551),f11(x551))+E(f9(x551),x551)
% 58.45/58.57 [57]P2(f10(x571),f11(x571))+P1(f9(x571))
% 58.45/58.57 [53]P2(x531,x532)+~E(x532,f12(x531))
% 58.45/58.57 [54]~P2(x542,x541)+E(x541,f12(x542))
% 58.45/58.57 [59]P3(x591,x592,x593)+~E(x593,f13(x591,x592))
% 58.45/58.57 [60]P4(x601,x602,x603)+~E(x603,f14(x601,x602))
% 58.45/58.57 [61]~P3(x612,x613,x611)+E(x611,f13(x612,x613))
% 58.45/58.57 [62]~P4(x622,x623,x621)+E(x621,f14(x622,x623))
% 58.45/58.57 [56]~P1(x561)+~E(x561,x562)+~P2(x563,x562)
% 58.45/58.57 [63]~P1(x632)+~P4(x633,x633,x631)+~E(x631,x632)+~P1(x633)
% 58.45/58.57 [58]~P2(x582,x584)+~P2(x581,x583)+E(x581,x582)+~E(x583,x584)
% 58.45/58.57 %EqnAxiom
% 58.45/58.57 [1]E(x11,x11)
% 58.45/58.57 [2]E(x22,x21)+~E(x21,x22)
% 58.45/58.57 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 58.45/58.57 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 58.45/58.57 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 58.45/58.57 [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 58.45/58.57 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 58.45/58.57 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 58.45/58.57 [9]~E(x91,x92)+E(f2(x91,x93),f2(x92,x93))
% 58.45/58.57 [10]~E(x101,x102)+E(f2(x103,x101),f2(x103,x102))
% 58.45/58.57 [11]~E(x111,x112)+E(f14(x111,x113),f14(x112,x113))
% 58.45/58.57 [12]~E(x121,x122)+E(f14(x123,x121),f14(x123,x122))
% 58.45/58.57 [13]~E(x131,x132)+E(f15(x131,x133),f15(x132,x133))
% 58.45/58.57 [14]~E(x141,x142)+E(f15(x143,x141),f15(x143,x142))
% 58.45/58.57 [15]~E(x151,x152)+E(f7(x151,x153),f7(x152,x153))
% 58.45/58.57 [16]~E(x161,x162)+E(f7(x163,x161),f7(x163,x162))
% 58.45/58.57 [17]~E(x171,x172)+E(f10(x171),f10(x172))
% 58.45/58.57 [18]~E(x181,x182)+E(f13(x181,x183),f13(x182,x183))
% 58.45/58.57 [19]~E(x191,x192)+E(f13(x193,x191),f13(x193,x192))
% 58.45/58.57 [20]~E(x201,x202)+E(f9(x201),f9(x202))
% 58.45/58.57 [21]~E(x211,x212)+E(f3(x211,x213),f3(x212,x213))
% 58.45/58.57 [22]~E(x221,x222)+E(f3(x223,x221),f3(x223,x222))
% 58.45/58.57 [23]~E(x231,x232)+E(f12(x231),f12(x232))
% 58.45/58.57 [24]~E(x241,x242)+E(f11(x241),f11(x242))
% 58.45/58.57 [25]~E(x251,x252)+E(f16(x251,x253),f16(x252,x253))
% 58.45/58.57 [26]~E(x261,x262)+E(f16(x263,x261),f16(x263,x262))
% 58.45/58.57 [27]~P1(x271)+P1(x272)+~E(x271,x272)
% 58.45/58.57 [28]P4(x282,x283,x284)+~E(x281,x282)+~P4(x281,x283,x284)
% 58.45/58.57 [29]P4(x293,x292,x294)+~E(x291,x292)+~P4(x293,x291,x294)
% 58.45/58.57 [30]P4(x303,x304,x302)+~E(x301,x302)+~P4(x303,x304,x301)
% 58.45/58.57 [31]P2(x312,x313)+~E(x311,x312)+~P2(x311,x313)
% 58.45/58.57 [32]P2(x323,x322)+~E(x321,x322)+~P2(x323,x321)
% 58.45/58.57 [33]P3(x332,x333,x334)+~E(x331,x332)+~P3(x331,x333,x334)
% 58.45/58.57 [34]P3(x343,x342,x344)+~E(x341,x342)+~P3(x343,x341,x344)
% 58.45/58.57 [35]P3(x353,x354,x352)+~E(x351,x352)+~P3(x353,x354,x351)
% 58.45/58.57
% 58.45/58.57 %-------------------------------------------
% 58.56/58.58 cnf(64,plain,
% 58.56/58.58 (P1(a8)),
% 58.56/58.58 inference(equality_inference,[],[49])).
% 58.56/58.58 cnf(65,plain,
% 58.56/58.58 (P2(x651,f12(x651))),
% 58.56/58.58 inference(equality_inference,[],[53])).
% 58.56/58.58 cnf(66,plain,
% 58.56/58.58 (~P1(x661)+~P2(x662,x661)),
% 58.56/58.58 inference(equality_inference,[],[56])).
% 58.56/58.58 cnf(68,plain,
% 58.56/58.58 (P3(x681,x682,f13(x681,x682))),
% 58.56/58.58 inference(equality_inference,[],[59])).
% 58.56/58.58 cnf(69,plain,
% 58.56/58.58 (P4(x691,x692,f14(x691,x692))),
% 58.56/58.58 inference(equality_inference,[],[60])).
% 58.56/58.58 cnf(70,plain,
% 58.56/58.58 (~P1(x702)+~P1(x701)+~P4(x702,x702,x701)),
% 58.56/58.58 inference(equality_inference,[],[63])).
% 58.56/58.58 cnf(71,plain,
% 58.56/58.58 (~P2(x711,f1(x712))),
% 58.56/58.58 inference(scs_inference,[],[36,66])).
% 58.56/58.58 cnf(76,plain,
% 58.56/58.58 (P4(x761,x762,f14(x761,x762))),
% 58.56/58.58 inference(rename_variables,[],[69])).
% 58.56/58.58 cnf(80,plain,
% 58.56/58.58 (P2(x801,f12(x801))),
% 58.56/58.58 inference(rename_variables,[],[65])).
% 58.56/58.58 cnf(81,plain,
% 58.56/58.58 (P4(x811,x812,f14(x813,x812))+~E(x813,x811)),
% 58.56/58.58 inference(scs_inference,[],[36,69,76,65,66,70,30,56,32,28])).
% 58.56/58.58 cnf(82,plain,
% 58.56/58.58 (P4(x821,x822,f14(x821,x823))+~E(x823,x822)),
% 58.56/58.58 inference(scs_inference,[],[36,69,76,65,66,70,30,56,32,28,29])).
% 58.56/58.58 cnf(83,plain,
% 58.56/58.58 (P2(x831,f12(x832))+~E(x832,x831)),
% 58.56/58.58 inference(scs_inference,[],[36,69,76,65,80,66,70,30,56,32,28,29,31])).
% 58.56/58.58 cnf(84,plain,
% 58.56/58.58 (P3(x841,x842,f13(x843,x842))+~E(x843,x841)),
% 58.56/58.58 inference(scs_inference,[],[36,69,76,65,80,68,66,70,30,56,32,28,29,31,33])).
% 58.56/58.58 cnf(85,plain,
% 58.56/58.58 (P3(x851,x852,f13(x851,x853))+~E(x853,x852)),
% 58.56/58.58 inference(scs_inference,[],[36,69,76,65,80,68,66,70,30,56,32,28,29,31,33,34])).
% 58.56/58.58 cnf(93,plain,
% 58.56/58.58 (~P2(x931,a8)),
% 58.56/58.58 inference(scs_inference,[],[64,66])).
% 58.56/58.58 cnf(95,plain,
% 58.56/58.58 (~P4(a8,a8,a8)),
% 58.56/58.58 inference(scs_inference,[],[64,66,70])).
% 58.56/58.58 cnf(119,plain,
% 58.56/58.58 (~P2(x1191,f4(x1192))),
% 58.56/58.58 inference(scs_inference,[],[37,66])).
% 58.56/58.58 cnf(123,plain,
% 58.56/58.58 (~P4(f4(x1231),f4(x1231),f4(x1231))),
% 58.56/58.58 inference(scs_inference,[],[36,37,39,66,56,70])).
% 58.56/58.58 cnf(125,plain,
% 58.56/58.58 (~E(f14(a8,a8),a8)),
% 58.56/58.58 inference(scs_inference,[],[36,95,37,69,39,66,56,70,30])).
% 58.56/58.58 cnf(127,plain,
% 58.56/58.58 (~E(f6(x1271,x1272),a8)),
% 58.56/58.58 inference(scs_inference,[],[36,95,37,69,93,39,66,56,70,30,32])).
% 58.56/58.58 cnf(128,plain,
% 58.56/58.58 (P2(x1281,f6(x1282,x1281))),
% 58.56/58.58 inference(rename_variables,[],[39])).
% 58.56/58.58 cnf(130,plain,
% 58.56/58.58 (P2(x1301,f6(x1302,x1301))),
% 58.56/58.58 inference(rename_variables,[],[39])).
% 58.56/58.58 cnf(136,plain,
% 58.56/58.58 (P4(x1361,x1362,f3(x1361,x1363))+~E(x1363,x1362)),
% 58.56/58.58 inference(scs_inference,[],[36,95,37,69,45,46,93,39,128,40,66,56,70,30,32,58,50,35,29])).
% 58.56/58.58 cnf(137,plain,
% 58.56/58.58 (P3(x1371,f6(x1372,x1373),f7(x1372,x1373))+~E(x1372,x1371)),
% 58.56/58.58 inference(scs_inference,[],[36,95,37,69,45,46,93,39,128,40,66,56,70,30,32,58,50,35,29,33])).
% 58.56/58.58 cnf(138,plain,
% 58.56/58.58 (P2(x1381,f6(x1382,x1383))+~E(x1383,x1381)),
% 58.56/58.58 inference(scs_inference,[],[36,95,37,69,45,46,93,39,128,130,40,66,56,70,30,32,58,50,35,29,33,31])).
% 58.56/58.58 cnf(139,plain,
% 58.56/58.58 (P4(x1391,x1392,f3(x1393,x1392))+~E(x1393,x1391)),
% 58.56/58.58 inference(scs_inference,[],[36,95,37,69,45,46,93,39,128,130,40,66,56,70,30,32,58,50,35,29,33,31,28])).
% 58.56/58.58 cnf(140,plain,
% 58.56/58.58 (P3(x1401,x1402,f7(x1401,x1403))+~E(f6(x1401,x1403),x1402)),
% 58.56/58.58 inference(scs_inference,[],[36,95,37,69,45,46,93,39,128,130,40,66,56,70,30,32,58,50,35,29,33,31,28,34])).
% 58.56/58.58 cnf(149,plain,
% 58.56/58.58 (~P2(x1491,f5(x1492))),
% 58.56/58.58 inference(scs_inference,[],[38,127,50,66])).
% 58.56/58.58 cnf(151,plain,
% 58.56/58.58 (~P4(f5(x1511),f5(x1511),f5(x1511))),
% 58.56/58.58 inference(scs_inference,[],[38,127,50,66,70])).
% 58.56/58.58 cnf(158,plain,
% 58.56/58.58 (P2(x1581,f2(x1582,x1581))),
% 58.56/58.58 inference(rename_variables,[],[40])).
% 58.56/58.58 cnf(160,plain,
% 58.56/58.58 (P2(x1601,f2(x1602,x1601))),
% 58.56/58.58 inference(rename_variables,[],[40])).
% 58.56/58.58 cnf(165,plain,
% 58.56/58.58 (P2(x1651,f2(x1652,x1653))+~E(x1653,x1651)),
% 58.56/58.58 inference(scs_inference,[],[36,123,125,38,69,119,43,48,127,40,158,160,65,50,66,70,56,30,32,58,35,29,31])).
% 58.56/58.58 cnf(167,plain,
% 58.56/58.58 (P4(x1671,f5(x1672),f4(x1672))+~E(x1672,x1671)),
% 58.56/58.58 inference(scs_inference,[],[36,123,125,38,69,119,43,48,127,40,158,160,65,50,66,70,56,30,32,58,35,29,31,33,28])).
% 58.56/58.58 cnf(168,plain,
% 58.56/58.58 (P3(f3(x1681,x1682),x1683,f16(x1681,x1682))+~E(x1681,x1683)),
% 58.56/58.58 inference(scs_inference,[],[36,123,125,38,69,119,43,48,127,40,158,160,65,50,66,70,56,30,32,58,35,29,31,33,28,34])).
% 58.56/58.58 cnf(180,plain,
% 58.56/58.58 (P2(x1801,f6(x1802,x1801))),
% 58.56/58.58 inference(rename_variables,[],[39])).
% 58.56/58.58 cnf(187,plain,
% 58.56/58.58 (P3(x1871,x1872,f15(x1873,x1872))+~E(x1873,x1871)),
% 58.56/58.58 inference(scs_inference,[],[151,45,125,64,149,47,44,39,180,65,56,30,32,58,35,29,33])).
% 58.56/58.58 cnf(188,plain,
% 58.56/58.58 (P4(x1881,f2(x1882,x1883),f16(x1882,x1883))+~E(x1882,x1881)),
% 58.56/58.58 inference(scs_inference,[],[151,45,125,64,149,47,44,39,180,65,56,30,32,58,35,29,33,28])).
% 58.56/58.58 cnf(189,plain,
% 58.56/58.58 (P3(x1891,x1892,f15(x1891,x1893))+~E(x1893,x1892)),
% 58.56/58.58 inference(scs_inference,[],[151,45,125,64,149,47,44,39,180,65,56,30,32,58,35,29,33,28,34])).
% 58.56/58.58 cnf(198,plain,
% 58.56/58.58 (P2(x1981,f2(x1982,x1981))),
% 58.56/58.58 inference(rename_variables,[],[40])).
% 58.56/58.58 cnf(203,plain,
% 58.56/58.58 (P3(x2031,f1(x2032),x2032)+~E(x2032,x2031)),
% 58.56/58.58 inference(scs_inference,[],[37,127,40,198,71,41,65,56,32,58,33])).
% 58.56/58.58 cnf(204,plain,
% 58.56/58.58 (P3(x2041,f1(x2041),x2042)+~E(x2041,x2042)),
% 58.56/58.58 inference(scs_inference,[],[37,127,40,198,71,41,65,56,32,58,33,35])).
% 58.56/58.58 cnf(205,plain,
% 58.56/58.58 (P4(x2051,f5(x2051),x2052)+~E(f4(x2051),x2052)),
% 58.56/58.58 inference(scs_inference,[],[37,127,40,198,71,41,43,65,56,32,58,33,35,30])).
% 58.56/58.58 cnf(1032,plain,
% 58.56/58.58 (E(a8,f1(x10321))),
% 58.56/58.58 inference(scs_inference,[],[36,50,2])).
% 58.56/58.58 cnf(1034,plain,
% 58.56/58.58 (P4(x10341,f1(x10342),f14(x10341,a8))),
% 58.56/58.58 inference(scs_inference,[],[1032,81,82])).
% 58.56/58.58 cnf(1035,plain,
% 58.56/58.58 (P4(x10351,f1(x10352),f3(x10351,a8))),
% 58.56/58.58 inference(scs_inference,[],[1032,81,82,136])).
% 58.56/58.58 cnf(1037,plain,
% 58.56/58.58 (P4(f1(x10371),f5(a8),f4(a8))),
% 58.56/58.58 inference(scs_inference,[],[1032,81,82,136,139,167])).
% 58.56/58.59 cnf(1042,plain,
% 58.56/58.59 (P3(f1(x10421),f6(a8,x10422),f7(a8,x10422))),
% 58.56/58.59 inference(scs_inference,[],[1032,81,82,136,139,167,188,83,84,85,137])).
% 58.56/58.59 cnf(1050,plain,
% 58.56/58.59 (E(f1(x10501),a8)),
% 58.56/58.59 inference(scs_inference,[],[1032,81,82,136,139,167,188,83,84,85,137,138,165,168,187,189,203,204,2])).
% 58.56/58.59 cnf(1685,plain,
% 58.56/58.59 (P4(f1(x16851),f1(x16852),f14(a8,a8))),
% 58.56/58.59 inference(scs_inference,[],[1032,1034,28])).
% 58.56/58.59 cnf(1696,plain,
% 58.56/58.59 (P4(f1(x16961),f1(x16962),f3(a8,a8))),
% 58.56/58.59 inference(scs_inference,[],[1032,1035,28])).
% 58.56/58.59 cnf(1809,plain,
% 58.56/58.59 (E(f4(f1(x18091)),f4(a8))),
% 58.56/58.59 inference(scs_inference,[],[36,50,5])).
% 58.56/58.59 cnf(1811,plain,
% 58.56/58.59 (E(f4(a8),f4(f1(x18111)))),
% 58.56/58.59 inference(scs_inference,[],[1809,205,2])).
% 58.56/58.59 cnf(1812,plain,
% 58.56/58.59 (P4(a8,f5(f1(x18121)),f4(a8))),
% 58.56/58.59 inference(scs_inference,[],[1050,1809,205,2,28])).
% 58.56/58.59 cnf(1813,plain,
% 58.56/58.59 (P4(f1(x18131),f5(a8),f4(f1(x18132)))),
% 58.56/58.59 inference(scs_inference,[],[1050,1037,1809,205,2,28,30])).
% 58.56/58.59 cnf(1814,plain,
% 58.56/58.59 (~P4(f1(x18141),f1(x18141),f4(f1(x18142)))),
% 58.56/58.59 inference(scs_inference,[],[1050,36,1037,37,1809,205,2,28,30,63])).
% 58.56/58.59 cnf(1822,plain,
% 58.56/58.59 (E(f5(f1(x18221)),f5(a8))),
% 58.56/58.59 inference(scs_inference,[],[36,50,6])).
% 58.56/58.59 cnf(1824,plain,
% 58.56/58.59 (E(f5(a8),f5(f1(x18241)))),
% 58.56/58.59 inference(scs_inference,[],[1822,1811,205,2])).
% 58.56/58.59 cnf(1830,plain,
% 58.56/58.59 (~P4(f1(x18301),f1(x18301),f5(f1(x18302)))),
% 58.56/58.59 inference(scs_inference,[],[36,1814,1032,38,1685,1813,1822,1811,1812,205,2,28,29,30,63])).
% 58.56/58.59 cnf(1839,plain,
% 58.56/58.59 (E(f6(f1(x18391),x18392),f6(a8,x18392))),
% 58.56/58.59 inference(scs_inference,[],[36,50,7])).
% 58.56/58.59 cnf(1841,plain,
% 58.56/58.59 (E(f6(a8,x18411),f6(f1(x18412),x18411))),
% 58.56/58.59 inference(scs_inference,[],[1839,140,2])).
% 58.56/58.59 cnf(1844,plain,
% 58.56/58.59 (P3(a8,f6(a8,x18441),f7(f1(x18442),x18441))),
% 58.56/58.59 inference(scs_inference,[],[1050,1839,1042,140,2,34,33])).
% 58.56/58.59 cnf(1847,plain,
% 58.56/58.59 (~P4(f1(x18471),f1(x18471),f4(a8))),
% 58.56/58.59 inference(scs_inference,[],[1050,36,1830,37,1685,1811,1839,1042,140,2,34,33,30,63])).
% 58.56/58.59 cnf(1858,plain,
% 58.56/58.59 (~P4(f1(x18581),f1(x18581),f5(a8))),
% 58.56/58.59 inference(scs_inference,[],[36,1847,1032,38,69,1824,1841,1844,140,33,30,63])).
% 58.56/58.59 cnf(2396,plain,
% 58.56/58.59 (~E(f4(x23961),f14(a8,a8))),
% 58.56/58.59 inference(scs_inference,[],[125,37,50,27])).
% 58.56/58.59 cnf(2405,plain,
% 58.56/58.59 ($false),
% 58.56/58.59 inference(scs_inference,[],[37,1858,1050,64,38,1696,2396,43,62,29,30,63,50]),
% 58.56/58.59 ['proof']).
% 58.56/58.59 % SZS output end Proof
% 58.56/58.59 % Total time :57.950000s
%------------------------------------------------------------------------------