TSTP Solution File: NUN081+2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : NUN081+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n003.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 : Thu Aug 31 12:45:26 EDT 2023
% Result : Theorem 0.77s 0.86s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN081+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 09:57:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.77/0.85 %-------------------------------------------
% 0.77/0.85 % File :CSE---1.6
% 0.77/0.85 % Problem :theBenchmark
% 0.77/0.85 % Transform :cnf
% 0.77/0.85 % Format :tptp:raw
% 0.77/0.85 % Command :java -jar mcs_scs.jar %d %s
% 0.77/0.85
% 0.77/0.85 % Result :Theorem 0.220000s
% 0.77/0.85 % Output :CNFRefutation 0.220000s
% 0.77/0.85 %-------------------------------------------
% 0.77/0.86 %------------------------------------------------------------------------------
% 0.77/0.86 % File : NUN081+2 : TPTP v8.1.2. Released v7.3.0.
% 0.77/0.86 % Domain : Number Theory
% 0.77/0.86 % Problem : Robinson arithmetic: There exists X + Y = 3
% 0.77/0.86 % Version : Especial.
% 0.77/0.86 % English :
% 0.77/0.86
% 0.77/0.86 % Refs : [BBJ03] Boolos et al. (2003), Computability and Logic
% 0.77/0.86 % : [Smi07] Smith (2007), An Introduction to Goedel's Theorems
% 0.77/0.86 % : [Lam18] Lampert (2018), Email to Geoff Sutcliffe
% 0.77/0.86 % Source : [Lam18]
% 0.77/0.86 % Names : xplusyeqthree [Lam18]
% 0.77/0.86
% 0.77/0.86 % Status : Theorem
% 0.77/0.86 % Rating : 0.22 v7.5.0, 0.25 v7.4.0, 0.20 v7.3.0
% 0.77/0.86 % Syntax : Number of formulae : 12 ( 0 unt; 0 def)
% 0.77/0.86 % Number of atoms : 50 ( 18 equ)
% 0.77/0.86 % Maximal formula atoms : 6 ( 4 avg)
% 0.77/0.86 % Number of connectives : 52 ( 14 ~; 10 |; 28 &)
% 0.77/0.86 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.77/0.86 % Maximal formula depth : 13 ( 8 avg)
% 0.77/0.86 % Maximal term depth : 1 ( 1 avg)
% 0.77/0.86 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty)
% 0.77/0.86 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.77/0.86 % Number of variables : 50 ( 23 !; 27 ?)
% 0.77/0.86 % SPC : FOF_THM_RFO_SEQ
% 0.77/0.86
% 0.77/0.86 % Comments : Translated to FOL with equality.
% 0.77/0.86 %------------------------------------------------------------------------------
% 0.77/0.86 include('Axioms/NUM008+0.ax').
% 0.77/0.86 %------------------------------------------------------------------------------
% 0.77/0.86 fof(xplusyeqthree,conjecture,
% 0.77/0.86 ? [Y1,Y2,Y3] :
% 0.77/0.86 ( r3(Y1,Y2,Y3)
% 0.77/0.86 & ? [Y4] :
% 0.77/0.86 ( Y3 = Y4
% 0.77/0.86 & ? [Y5] :
% 0.77/0.86 ( r2(Y5,Y4)
% 0.77/0.86 & ? [Y6] :
% 0.77/0.86 ( r2(Y6,Y5)
% 0.77/0.86 & ? [Y7] :
% 0.77/0.86 ( r1(Y7)
% 0.77/0.86 & r2(Y7,Y6) ) ) ) ) ) ).
% 0.77/0.86
% 0.77/0.86 %------------------------------------------------------------------------------
% 0.77/0.86 %-------------------------------------------
% 0.77/0.86 % Proof found
% 0.77/0.86 % SZS status Theorem for theBenchmark
% 0.77/0.86 % SZS output start Proof
% 0.77/0.86 %ClaNum:63(EqnAxiom:35)
% 0.77/0.86 %VarNum:117(SingletonVarNum:57)
% 0.77/0.86 %MaxLitNum:6
% 0.77/0.86 %MaxfuncDepth:1
% 0.77/0.86 %SharedTerms:1
% 0.77/0.86 %goalClause: 63
% 0.77/0.86 [36]P1(f1(x361))
% 0.77/0.86 [37]P1(f4(x371))
% 0.77/0.86 [38]P1(f5(x381))
% 0.77/0.86 [41]P3(x411,f1(x411),x411)
% 0.77/0.86 [43]P4(x431,f5(x431),f4(x431))
% 0.77/0.86 [39]P2(x391,f6(x392,x391))
% 0.77/0.86 [40]P2(x401,f2(x402,x401))
% 0.77/0.86 [42]P2(f15(x421,x422),f7(x421,x422))
% 0.77/0.86 [44]P3(x441,x442,f15(x441,x442))
% 0.77/0.86 [45]P4(x451,x452,f3(x451,x452))
% 0.77/0.86 [46]P3(x461,f6(x461,x462),f7(x461,x462))
% 0.77/0.86 [47]P4(x471,f2(x471,x472),f16(x471,x472))
% 0.77/0.86 [48]P3(f3(x481,x482),x481,f16(x481,x482))
% 0.77/0.86 [49]P1(x491)+~E(x491,a8)
% 0.77/0.86 [50]~P1(x501)+E(x501,a8)
% 0.77/0.86 [51]E(f11(x511),x511)+E(f9(x511),x511)
% 0.77/0.86 [52]E(f11(x521),x521)+P1(f9(x521))
% 0.77/0.86 [55]P2(f10(x551),f11(x551))+E(f9(x551),x551)
% 0.77/0.86 [57]P2(f10(x571),f11(x571))+P1(f9(x571))
% 0.77/0.86 [53]P2(x531,x532)+~E(x532,f12(x531))
% 0.77/0.86 [54]~P2(x542,x541)+E(x541,f12(x542))
% 0.77/0.86 [59]P3(x591,x592,x593)+~E(x593,f13(x591,x592))
% 0.77/0.86 [60]P4(x601,x602,x603)+~E(x603,f14(x601,x602))
% 0.77/0.86 [61]~P3(x612,x613,x611)+E(x611,f13(x612,x613))
% 0.77/0.86 [62]~P4(x622,x623,x621)+E(x621,f14(x622,x623))
% 0.77/0.86 [56]~P1(x561)+~E(x561,x562)+~P2(x563,x562)
% 0.77/0.86 [58]~P2(x582,x584)+~P2(x581,x583)+E(x581,x582)+~E(x583,x584)
% 0.77/0.86 [63]~P2(x635,x632)+~E(x631,x632)+~P2(x633,x634)+~P3(x636,x637,x631)+~P2(x634,x635)+~P1(x633)
% 0.77/0.86 %EqnAxiom
% 0.77/0.86 [1]E(x11,x11)
% 0.77/0.86 [2]E(x22,x21)+~E(x21,x22)
% 0.77/0.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.77/0.86 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.77/0.86 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.77/0.86 [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 0.77/0.86 [7]~E(x71,x72)+E(f6(x71,x73),f6(x72,x73))
% 0.77/0.86 [8]~E(x81,x82)+E(f6(x83,x81),f6(x83,x82))
% 0.77/0.86 [9]~E(x91,x92)+E(f2(x91,x93),f2(x92,x93))
% 0.77/0.86 [10]~E(x101,x102)+E(f2(x103,x101),f2(x103,x102))
% 0.77/0.86 [11]~E(x111,x112)+E(f14(x111,x113),f14(x112,x113))
% 0.77/0.86 [12]~E(x121,x122)+E(f14(x123,x121),f14(x123,x122))
% 0.77/0.86 [13]~E(x131,x132)+E(f15(x131,x133),f15(x132,x133))
% 0.77/0.86 [14]~E(x141,x142)+E(f15(x143,x141),f15(x143,x142))
% 0.77/0.86 [15]~E(x151,x152)+E(f7(x151,x153),f7(x152,x153))
% 0.77/0.86 [16]~E(x161,x162)+E(f7(x163,x161),f7(x163,x162))
% 0.77/0.86 [17]~E(x171,x172)+E(f10(x171),f10(x172))
% 0.77/0.86 [18]~E(x181,x182)+E(f13(x181,x183),f13(x182,x183))
% 0.77/0.86 [19]~E(x191,x192)+E(f13(x193,x191),f13(x193,x192))
% 0.77/0.86 [20]~E(x201,x202)+E(f9(x201),f9(x202))
% 0.77/0.86 [21]~E(x211,x212)+E(f3(x211,x213),f3(x212,x213))
% 0.77/0.86 [22]~E(x221,x222)+E(f3(x223,x221),f3(x223,x222))
% 0.77/0.86 [23]~E(x231,x232)+E(f12(x231),f12(x232))
% 0.77/0.86 [24]~E(x241,x242)+E(f11(x241),f11(x242))
% 0.77/0.86 [25]~E(x251,x252)+E(f16(x251,x253),f16(x252,x253))
% 0.77/0.86 [26]~E(x261,x262)+E(f16(x263,x261),f16(x263,x262))
% 0.77/0.86 [27]~P1(x271)+P1(x272)+~E(x271,x272)
% 0.77/0.86 [28]P3(x282,x283,x284)+~E(x281,x282)+~P3(x281,x283,x284)
% 0.77/0.86 [29]P3(x293,x292,x294)+~E(x291,x292)+~P3(x293,x291,x294)
% 0.77/0.86 [30]P3(x303,x304,x302)+~E(x301,x302)+~P3(x303,x304,x301)
% 0.77/0.86 [31]P2(x312,x313)+~E(x311,x312)+~P2(x311,x313)
% 0.77/0.86 [32]P2(x323,x322)+~E(x321,x322)+~P2(x323,x321)
% 0.77/0.86 [33]P4(x332,x333,x334)+~E(x331,x332)+~P4(x331,x333,x334)
% 0.77/0.86 [34]P4(x343,x342,x344)+~E(x341,x342)+~P4(x343,x341,x344)
% 0.77/0.86 [35]P4(x353,x354,x352)+~E(x351,x352)+~P4(x353,x354,x351)
% 0.77/0.86
% 0.77/0.86 %-------------------------------------------
% 0.77/0.87 cnf(64,plain,
% 0.77/0.87 (~E(f1(x641),f6(x642,x643))),
% 0.77/0.87 inference(scs_inference,[],[36,39,56])).
% 0.77/0.87 cnf(66,plain,
% 0.77/0.87 (E(f1(x661),a8)),
% 0.77/0.87 inference(scs_inference,[],[36,39,56,2,50])).
% 0.77/0.87 cnf(68,plain,
% 0.77/0.87 (E(f6(x681,x682),f12(x682))),
% 0.77/0.87 inference(scs_inference,[],[36,39,56,2,50,54])).
% 0.77/0.87 cnf(74,plain,
% 0.77/0.87 (E(f3(x741,f1(x742)),f3(x741,a8))),
% 0.77/0.87 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22])).
% 0.77/0.87 cnf(77,plain,
% 0.77/0.87 (E(f13(x771,f1(x772)),f13(x771,a8))),
% 0.77/0.87 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19])).
% 0.77/0.87 cnf(78,plain,
% 0.77/0.87 (E(f13(f1(x781),x782),f13(a8,x782))),
% 0.77/0.87 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18])).
% 0.77/0.87 cnf(80,plain,
% 0.77/0.87 (E(f7(x801,f1(x802)),f7(x801,a8))),
% 0.77/0.87 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16])).
% 0.77/0.87 cnf(81,plain,
% 0.77/0.87 (E(f7(f1(x811),x812),f7(a8,x812))),
% 0.77/0.87 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15])).
% 0.77/0.87 cnf(82,plain,
% 0.77/0.87 (E(f15(x821,f1(x822)),f15(x821,a8))),
% 0.77/0.87 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14])).
% 0.77/0.87 cnf(85,plain,
% 0.77/0.87 (E(f14(f1(x851),x852),f14(a8,x852))),
% 0.77/0.87 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11])).
% 0.77/0.87 cnf(86,plain,
% 0.77/0.87 (E(f2(x861,f1(x862)),f2(x861,a8))),
% 0.77/0.87 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 0.77/0.87 cnf(87,plain,
% 0.77/0.87 (E(f2(f1(x871),x872),f2(a8,x872))),
% 0.77/0.87 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9])).
% 0.77/0.87 cnf(88,plain,
% 0.77/0.87 (E(f6(x881,f1(x882)),f6(x881,a8))),
% 0.77/0.87 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 0.77/0.87 cnf(89,plain,
% 0.77/0.87 (E(f6(f1(x891),x892),f6(a8,x892))),
% 0.77/0.87 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 0.77/0.87 cnf(90,plain,
% 0.77/0.87 (E(f5(f1(x901)),f5(a8))),
% 0.77/0.87 inference(scs_inference,[],[36,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 0.77/0.87 cnf(93,plain,
% 0.77/0.87 (E(f3(x931,x932),f14(x931,x932))),
% 0.77/0.87 inference(scs_inference,[],[36,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62])).
% 0.77/0.87 cnf(95,plain,
% 0.77/0.87 (E(x951,f13(x951,f1(x951)))),
% 0.77/0.87 inference(scs_inference,[],[36,41,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61])).
% 0.77/0.87 cnf(97,plain,
% 0.77/0.87 (P1(a8)),
% 0.77/0.87 inference(scs_inference,[],[36,41,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61,27])).
% 0.77/0.87 cnf(98,plain,
% 0.77/0.87 (~E(a8,f6(x981,x982))),
% 0.77/0.87 inference(scs_inference,[],[36,41,45,39,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61,27,3])).
% 0.77/0.87 cnf(101,plain,
% 0.77/0.87 (~P2(f2(x1011,f1(x1012)),a8)),
% 0.77/0.87 inference(scs_inference,[],[36,41,45,39,40,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61,27,3,58,63])).
% 0.77/0.87 cnf(103,plain,
% 0.77/0.87 (P2(a8,f12(f1(x1031)))),
% 0.77/0.87 inference(scs_inference,[],[36,41,45,39,40,56,2,50,54,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,62,61,27,3,58,63,53])).
% 0.77/0.87 cnf(122,plain,
% 0.77/0.87 (~P1(f6(x1221,f1(x1222)))),
% 0.77/0.87 inference(scs_inference,[],[68,103,56])).
% 0.77/0.87 cnf(125,plain,
% 0.77/0.87 (~P2(f2(x1251,a8),a8)),
% 0.77/0.87 inference(scs_inference,[],[41,40,68,86,103,97,56,63])).
% 0.77/0.87 cnf(126,plain,
% 0.77/0.87 (P2(x1261,f2(x1262,x1261))),
% 0.77/0.87 inference(rename_variables,[],[40])).
% 0.77/0.87 cnf(127,plain,
% 0.77/0.87 (P3(x1271,f1(x1271),x1271)),
% 0.77/0.87 inference(rename_variables,[],[41])).
% 0.77/0.87 cnf(134,plain,
% 0.77/0.87 (E(x1341,f13(x1341,a8))),
% 0.77/0.87 inference(scs_inference,[],[43,46,41,127,40,126,95,68,77,86,103,97,56,63,33,31,30,28,3])).
% 0.77/0.87 cnf(135,plain,
% 0.77/0.87 (E(x1351,f13(x1351,f1(x1351)))),
% 0.77/0.87 inference(rename_variables,[],[95])).
% 0.77/0.87 cnf(137,plain,
% 0.77/0.87 (E(f13(x1371,f1(x1371)),x1371)),
% 0.77/0.87 inference(scs_inference,[],[43,46,41,127,40,126,95,135,68,77,86,103,97,56,63,33,31,30,28,3,2])).
% 0.77/0.87 cnf(140,plain,
% 0.77/0.87 (P1(f13(a8,f1(a8)))),
% 0.77/0.87 inference(scs_inference,[],[43,46,48,41,127,45,40,126,95,135,68,77,86,103,97,56,63,33,31,30,28,3,2,34,29,49])).
% 0.77/0.87 cnf(152,plain,
% 0.77/0.87 (~P1(f15(x1521,x1522))),
% 0.77/0.87 inference(scs_inference,[],[42,41,39,40,137,122,49,63])).
% 0.77/0.87 cnf(155,plain,
% 0.77/0.87 (P2(x1551,f6(x1552,x1551))),
% 0.77/0.87 inference(rename_variables,[],[39])).
% 0.77/0.87 cnf(156,plain,
% 0.77/0.87 (P2(x1561,f2(x1562,x1561))),
% 0.77/0.87 inference(rename_variables,[],[40])).
% 0.77/0.87 cnf(158,plain,
% 0.77/0.87 (~E(f4(x1581),f6(x1582,f1(x1583)))),
% 0.77/0.87 inference(scs_inference,[],[37,42,41,39,40,137,122,49,63,27])).
% 0.77/0.87 cnf(159,plain,
% 0.77/0.87 (~E(f6(x1591,x1592),a8)),
% 0.77/0.87 inference(scs_inference,[],[37,42,41,39,40,137,122,98,49,63,27,2])).
% 0.77/0.87 cnf(162,plain,
% 0.77/0.87 (~P1(f6(x1621,x1622))),
% 0.77/0.87 inference(scs_inference,[],[37,42,41,39,40,137,122,134,98,49,63,27,2,32,50])).
% 0.77/0.87 cnf(168,plain,
% 0.77/0.87 (~E(a8,f12(f2(x1681,a8)))),
% 0.77/0.87 inference(scs_inference,[],[37,42,41,39,155,40,156,137,122,134,98,125,49,63,27,2,32,50,58,53])).
% 0.77/0.87 cnf(171,plain,
% 0.77/0.87 (P2(f15(x1711,x1712),f7(x1711,x1712))),
% 0.77/0.87 inference(rename_variables,[],[42])).
% 0.77/0.87 cnf(173,plain,
% 0.77/0.87 (E(f4(x1731),a8)),
% 0.77/0.87 inference(scs_inference,[],[37,42,80,56,50])).
% 0.77/0.87 cnf(176,plain,
% 0.77/0.87 (E(f3(x1761,x1762),f14(x1761,x1762))),
% 0.77/0.87 inference(rename_variables,[],[93])).
% 0.77/0.87 cnf(177,plain,
% 0.77/0.87 (P2(f15(x1771,f1(x1772)),f7(x1771,a8))),
% 0.77/0.87 inference(scs_inference,[],[37,42,171,93,74,80,56,50,3,32])).
% 0.77/0.87 cnf(180,plain,
% 0.77/0.87 (P1(f13(f4(x1801),a8))),
% 0.77/0.87 inference(scs_inference,[],[37,42,171,93,74,80,134,56,50,3,32,27])).
% 0.77/0.87 cnf(182,plain,
% 0.77/0.87 (E(f14(x1821,x1822),f3(x1821,x1822))),
% 0.77/0.87 inference(scs_inference,[],[37,42,171,93,176,74,80,134,56,50,3,32,27,2])).
% 0.77/0.87 cnf(191,plain,
% 0.77/0.87 (E(f7(f1(x1911),x1912),f7(a8,x1912))),
% 0.77/0.87 inference(rename_variables,[],[81])).
% 0.77/0.87 cnf(192,plain,
% 0.77/0.87 (P2(f15(x1921,x1922),f7(x1921,x1922))),
% 0.77/0.87 inference(rename_variables,[],[42])).
% 0.77/0.87 cnf(195,plain,
% 0.77/0.87 (P2(f15(x1951,x1952),f7(x1951,x1952))),
% 0.77/0.87 inference(rename_variables,[],[42])).
% 0.77/0.87 cnf(199,plain,
% 0.77/0.87 (~E(f13(a8,a8),f12(f2(x1991,a8)))),
% 0.77/0.87 inference(scs_inference,[],[42,192,81,191,177,168,134,56,58,3])).
% 0.77/0.87 cnf(203,plain,
% 0.77/0.87 (P1(f13(a8,a8))),
% 0.77/0.87 inference(scs_inference,[],[42,192,40,81,191,177,140,168,77,125,134,56,58,3,32,27])).
% 0.77/0.87 cnf(210,plain,
% 0.77/0.87 (E(f7(x2101,x2102),f12(f15(x2101,x2102)))),
% 0.77/0.87 inference(scs_inference,[],[42,192,195,40,158,78,81,191,85,177,140,168,77,125,134,56,58,3,32,27,2,60,59,54])).
% 0.77/0.87 cnf(217,plain,
% 0.77/0.87 (E(f13(f4(x2171),x2172),f13(a8,x2172))),
% 0.77/0.87 inference(scs_inference,[],[42,192,195,40,158,78,81,191,85,177,140,173,168,77,125,134,56,58,3,32,27,2,60,59,54,26,25,21,20,19,18])).
% 0.77/0.87 cnf(218,plain,
% 0.77/0.87 (E(f7(x2181,f4(x2182)),f7(x2181,a8))),
% 0.77/0.87 inference(scs_inference,[],[42,192,195,40,158,78,81,191,85,177,140,173,168,77,125,134,56,58,3,32,27,2,60,59,54,26,25,21,20,19,18,16])).
% 0.77/0.87 cnf(222,plain,
% 0.77/0.87 (E(f2(x2221,f4(x2222)),f2(x2221,a8))),
% 0.77/0.87 inference(scs_inference,[],[42,192,195,40,158,78,81,191,85,177,140,173,168,77,125,134,56,58,3,32,27,2,60,59,54,26,25,21,20,19,18,16,15,14,12,10])).
% 0.77/0.87 cnf(225,plain,
% 0.77/0.87 (E(f16(x2251,x2252),f14(x2251,f2(x2251,x2252)))),
% 0.77/0.87 inference(scs_inference,[],[47,42,192,195,40,158,78,81,191,85,177,140,173,168,77,125,134,56,58,3,32,27,2,60,59,54,26,25,21,20,19,18,16,15,14,12,10,8,4,62])).
% 0.77/0.87 cnf(227,plain,
% 0.77/0.87 (E(f7(x2271,x2272),f13(x2271,f6(x2271,x2272)))),
% 0.77/0.87 inference(scs_inference,[],[47,46,42,192,195,40,158,78,81,191,85,177,140,173,168,77,125,134,56,58,3,32,27,2,60,59,54,26,25,21,20,19,18,16,15,14,12,10,8,4,62,61])).
% 0.77/0.87 cnf(230,plain,
% 0.77/0.87 (E(f12(f4(x2301)),f12(a8))),
% 0.77/0.87 inference(scs_inference,[],[47,46,42,192,195,40,158,78,81,191,85,177,140,173,168,77,125,134,56,58,3,32,27,2,60,59,54,26,25,21,20,19,18,16,15,14,12,10,8,4,62,61,24,23])).
% 0.77/0.87 cnf(234,plain,
% 0.77/0.87 (E(f14(f4(x2341),x2342),f14(a8,x2342))),
% 0.77/0.87 inference(scs_inference,[],[47,46,42,192,195,40,158,78,81,191,85,177,140,173,168,77,125,134,56,58,3,32,27,2,60,59,54,26,25,21,20,19,18,16,15,14,12,10,8,4,62,61,24,23,22,17,13,11])).
% 0.77/0.87 cnf(235,plain,
% 0.77/0.87 (E(f2(f4(x2351),x2352),f2(a8,x2352))),
% 0.77/0.87 inference(scs_inference,[],[47,46,42,192,195,40,158,78,81,191,85,177,140,173,168,77,125,134,56,58,3,32,27,2,60,59,54,26,25,21,20,19,18,16,15,14,12,10,8,4,62,61,24,23,22,17,13,11,9])).
% 0.77/0.87 cnf(246,plain,
% 0.77/0.87 (~P2(f2(x2461,a8),f13(a8,a8))),
% 0.77/0.87 inference(scs_inference,[],[199,54])).
% 0.77/0.87 cnf(249,plain,
% 0.77/0.87 (E(f16(x2491,x2492),f14(x2491,f2(x2491,x2492)))),
% 0.77/0.87 inference(rename_variables,[],[225])).
% 0.77/0.87 cnf(250,plain,
% 0.77/0.87 (~E(f5(x2501),f7(x2502,x2503))),
% 0.77/0.87 inference(scs_inference,[],[38,47,42,225,199,54,35,56])).
% 0.77/0.87 cnf(256,plain,
% 0.77/0.87 (P2(x2561,f2(x2562,x2561))),
% 0.77/0.87 inference(rename_variables,[],[40])).
% 0.77/0.87 cnf(261,plain,
% 0.77/0.87 (E(f16(x2611,x2612),f14(x2611,f2(x2611,x2612)))),
% 0.77/0.87 inference(rename_variables,[],[225])).
% 0.77/0.87 cnf(262,plain,
% 0.77/0.87 (E(f14(x2621,x2622),f3(x2621,x2622))),
% 0.77/0.87 inference(rename_variables,[],[182])).
% 0.77/0.87 cnf(266,plain,
% 0.77/0.87 (E(f14(x2661,f2(x2661,x2662)),f16(x2661,x2662))),
% 0.77/0.87 inference(scs_inference,[],[38,64,47,46,42,40,256,225,249,261,227,182,87,218,199,54,35,56,50,58,63,3,32,2])).
% 0.77/0.87 cnf(275,plain,
% 0.77/0.87 (E(x2751,f13(x2751,a8))),
% 0.77/0.87 inference(rename_variables,[],[134])).
% 0.77/0.87 cnf(278,plain,
% 0.77/0.87 (P4(x2781,f3(x2782,x2783),f3(x2781,f14(x2782,x2783)))),
% 0.77/0.87 inference(scs_inference,[],[38,64,47,48,44,45,46,42,40,256,39,225,249,261,227,182,262,162,87,218,199,134,275,54,35,56,50,58,63,3,32,2,27,30,28,31,33,29,34])).
% 0.77/0.87 cnf(280,plain,
% 0.77/0.87 (E(f2(x2801,x2802),f12(x2802))),
% 0.77/0.87 inference(scs_inference,[],[40,54])).
% 0.77/0.87 cnf(283,plain,
% 0.77/0.87 (P3(x2831,x2832,f15(x2831,x2832))),
% 0.77/0.87 inference(rename_variables,[],[44])).
% 0.77/0.87 cnf(285,plain,
% 0.77/0.87 (P3(x2851,x2852,f15(x2851,x2852))),
% 0.77/0.87 inference(rename_variables,[],[44])).
% 0.77/0.87 cnf(289,plain,
% 0.77/0.87 (P2(x2891,f6(x2892,x2891))),
% 0.77/0.87 inference(rename_variables,[],[39])).
% 0.77/0.87 cnf(294,plain,
% 0.77/0.87 (P2(x2941,f6(x2942,x2941))),
% 0.77/0.87 inference(rename_variables,[],[39])).
% 0.77/0.87 cnf(295,plain,
% 0.77/0.87 (P2(x2951,f2(x2952,x2951))),
% 0.77/0.87 inference(rename_variables,[],[40])).
% 0.77/0.87 cnf(302,plain,
% 0.77/0.87 (P1(f13(f13(a8,a8),a8))),
% 0.77/0.87 inference(scs_inference,[],[39,289,294,66,43,44,283,285,41,40,295,278,82,88,90,180,159,203,134,54,30,28,56,31,29,34,33,58,63,27])).
% 0.77/0.87 cnf(308,plain,
% 0.77/0.87 (~E(f7(x3081,x3082),f5(x3083))),
% 0.77/0.87 inference(scs_inference,[],[39,289,294,66,43,44,283,285,41,40,295,266,278,250,82,88,234,90,180,159,203,101,134,54,30,28,56,31,29,34,33,58,63,27,3,32,2])).
% 0.77/0.87 cnf(317,plain,
% 0.77/0.87 (P2(x3171,f6(x3172,x3171))),
% 0.77/0.87 inference(rename_variables,[],[39])).
% 0.77/0.87 cnf(325,plain,
% 0.77/0.87 (E(a8,f1(x3251))),
% 0.77/0.87 inference(scs_inference,[],[39,317,41,66,42,210,308,89,217,222,246,302,180,125,56,31,63,3,32,2])).
% 0.77/0.87 cnf(339,plain,
% 0.77/0.87 (~P2(x3391,a8)),
% 0.77/0.87 inference(scs_inference,[],[48,66,36,61,56])).
% 0.77/0.87 cnf(345,plain,
% 0.77/0.87 (P2(x3451,f2(x3452,x3451))),
% 0.77/0.87 inference(rename_variables,[],[40])).
% 0.77/0.87 cnf(351,plain,
% 0.77/0.87 (P2(x3511,f12(x3511))),
% 0.77/0.87 inference(scs_inference,[],[40,345,68,48,44,66,280,230,325,152,140,36,61,56,28,31,29,3,27,32])).
% 0.77/0.87 cnf(392,plain,
% 0.77/0.87 (P2(x3921,f2(x3922,x3921))),
% 0.77/0.87 inference(rename_variables,[],[40])).
% 0.77/0.87 cnf(394,plain,
% 0.77/0.87 ($false),
% 0.77/0.87 inference(scs_inference,[],[40,392,68,41,351,235,339,97,39,53,56,63]),
% 0.77/0.87 ['proof']).
% 0.77/0.87 % SZS output end Proof
% 0.77/0.87 % Total time :0.220000s
%------------------------------------------------------------------------------