TSTP Solution File: BOO004-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : BOO004-1 : 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 : n014.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 18:05:19 EDT 2023
% Result : Unsatisfiable 0.19s 0.73s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n014.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
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Sun Aug 27 08:00:46 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.19/0.73 %-------------------------------------------
% 0.19/0.73 % File :CSE---1.6
% 0.19/0.73 % Problem :theBenchmark
% 0.19/0.73 % Transform :cnf
% 0.19/0.73 % Format :tptp:raw
% 0.19/0.73 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.73
% 0.19/0.73 % Result :Theorem 0.130000s
% 0.19/0.73 % Output :CNFRefutation 0.130000s
% 0.19/0.73 %-------------------------------------------
% 0.19/0.73 %--------------------------------------------------------------------------
% 0.19/0.73 % File : BOO004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.73 % Domain : Boolean Algebra
% 0.19/0.73 % Problem : Addition is idempotent (X + X = X)
% 0.19/0.73 % Version : [MOW76] axioms.
% 0.19/0.73 % English :
% 0.19/0.73
% 0.19/0.73 % Refs : [Whi61] Whitesitt (1961), Boolean Algebra and Its Applications
% 0.19/0.73 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.19/0.73 % : [OMW76] Overbeek et al. (1976), Complexity and Related Enhance
% 0.19/0.73 % Source : [MOW76]
% 0.19/0.73 % Names : B2 part 2 [MOW76]
% 0.19/0.73 % : Lemma proved [OMW76]
% 0.19/0.73 % : prob2_part2.ver1 [ANL]
% 0.19/0.73
% 0.19/0.73 % Status : Unsatisfiable
% 0.19/0.73 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v2.2.1, 0.22 v2.2.0, 0.14 v2.1.0, 0.20 v2.0.0
% 0.19/0.73 % Syntax : Number of clauses : 23 ( 11 unt; 0 nHn; 13 RR)
% 0.19/0.73 % Number of literals : 61 ( 2 equ; 39 neg)
% 0.19/0.73 % Maximal clause size : 5 ( 2 avg)
% 0.19/0.73 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.73 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 0.19/0.73 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 0.19/0.73 % Number of variables : 82 ( 0 sgn)
% 0.19/0.73 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.19/0.73
% 0.19/0.73 % Comments :
% 0.19/0.73 %--------------------------------------------------------------------------
% 0.19/0.73 %----Include boolean algebra axioms
% 0.19/0.73 include('Axioms/BOO002-0.ax').
% 0.19/0.73 %--------------------------------------------------------------------------
% 0.19/0.73 cnf(prove_both_equalities,negated_conjecture,
% 0.19/0.73 ~ sum(x,x,x) ).
% 0.19/0.73
% 0.19/0.73 %--------------------------------------------------------------------------
% 0.19/0.73 %-------------------------------------------
% 0.19/0.73 % Proof found
% 0.19/0.73 % SZS status Theorem for theBenchmark
% 0.19/0.73 % SZS output start Proof
% 0.19/0.74 %ClaNum:37(EqnAxiom:14)
% 0.19/0.74 %VarNum:172(SingletonVarNum:82)
% 0.19/0.74 %MaxLitNum:5
% 0.19/0.74 %MaxfuncDepth:1
% 0.19/0.74 %SharedTerms:4
% 0.19/0.74 %goalClause: 25
% 0.19/0.74 %singleGoalClaCount:1
% 0.19/0.74 [25]~P1(a6,a6,a6)
% 0.19/0.74 [15]P1(x151,a1,x151)
% 0.19/0.74 [16]P2(x161,a3,x161)
% 0.19/0.74 [17]P1(a1,x171,x171)
% 0.19/0.74 [18]P2(a3,x181,x181)
% 0.19/0.74 [19]P1(x191,f4(x191),a3)
% 0.19/0.74 [20]P2(x201,f4(x201),a1)
% 0.19/0.74 [21]P1(f4(x211),x211,a3)
% 0.19/0.74 [22]P2(f4(x221),x221,a1)
% 0.19/0.74 [23]P1(x231,x232,f2(x231,x232))
% 0.19/0.74 [24]P2(x241,x242,f5(x241,x242))
% 0.19/0.74 [26]~P1(x262,x261,x263)+P1(x261,x262,x263)
% 0.19/0.74 [27]~P2(x272,x271,x273)+P2(x271,x272,x273)
% 0.19/0.74 [28]~P1(x283,x284,x281)+E(x281,x282)+~P1(x283,x284,x282)
% 0.19/0.74 [29]~P2(x293,x294,x291)+E(x291,x292)+~P2(x293,x294,x292)
% 0.19/0.74 [30]~P2(x307,x305,x303)+~P2(x306,x304,x301)+P1(x301,x302,x303)+~P1(x304,x302,x305)+~P1(x306,x302,x307)
% 0.19/0.74 [31]~P2(x317,x315,x312)+~P2(x317,x314,x311)+P1(x311,x312,x313)+~P1(x314,x315,x316)+~P2(x317,x316,x313)
% 0.19/0.74 [32]~P2(x325,x327,x322)+~P2(x324,x327,x321)+P1(x321,x322,x323)+~P1(x324,x325,x326)+~P2(x326,x327,x323)
% 0.19/0.74 [33]~P2(x337,x335,x333)+~P2(x336,x334,x332)+P1(x331,x332,x333)+~P1(x331,x334,x335)+~P1(x331,x336,x337)
% 0.19/0.74 [34]~P2(x347,x342,x345)+~P2(x346,x342,x344)+P2(x341,x342,x343)+~P1(x344,x345,x343)+~P1(x346,x347,x341)
% 0.19/0.74 [35]~P2(x357,x356,x354)+P2(x351,x352,x353)+~P1(x354,x355,x353)+~P1(x356,x355,x352)+~P1(x357,x355,x351)
% 0.19/0.74 [36]~P2(x367,x366,x365)+P2(x361,x362,x363)+~P1(x364,x365,x363)+~P1(x364,x366,x362)+~P1(x364,x367,x361)
% 0.19/0.74 [37]~P2(x371,x377,x375)+~P2(x371,x376,x374)+P2(x371,x372,x373)+~P1(x374,x375,x373)+~P1(x376,x377,x372)
% 0.19/0.74 %EqnAxiom
% 0.19/0.74 [1]E(x11,x11)
% 0.19/0.74 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.74 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 0.19/0.74 [5]~E(x51,x52)+E(f5(x51,x53),f5(x52,x53))
% 0.19/0.74 [6]~E(x61,x62)+E(f5(x63,x61),f5(x63,x62))
% 0.19/0.74 [7]~E(x71,x72)+E(f2(x71,x73),f2(x72,x73))
% 0.19/0.74 [8]~E(x81,x82)+E(f2(x83,x81),f2(x83,x82))
% 0.19/0.74 [9]P1(x92,x93,x94)+~E(x91,x92)+~P1(x91,x93,x94)
% 0.19/0.74 [10]P1(x103,x102,x104)+~E(x101,x102)+~P1(x103,x101,x104)
% 0.19/0.74 [11]P1(x113,x114,x112)+~E(x111,x112)+~P1(x113,x114,x111)
% 0.19/0.74 [12]P2(x122,x123,x124)+~E(x121,x122)+~P2(x121,x123,x124)
% 0.19/0.74 [13]P2(x133,x132,x134)+~E(x131,x132)+~P2(x133,x131,x134)
% 0.19/0.74 [14]P2(x143,x144,x142)+~E(x141,x142)+~P2(x143,x144,x141)
% 0.19/0.74
% 0.19/0.74 %-------------------------------------------
% 0.19/0.74 cnf(38,plain,
% 0.19/0.74 (~E(f2(a6,a6),a6)),
% 0.19/0.74 inference(scs_inference,[],[25,23,11])).
% 0.19/0.74 cnf(39,plain,
% 0.19/0.74 (P1(x391,x392,f2(x391,x392))),
% 0.19/0.74 inference(rename_variables,[],[23])).
% 0.19/0.74 cnf(40,plain,
% 0.19/0.74 (~E(a1,a6)),
% 0.19/0.74 inference(scs_inference,[],[25,15,23,11,10])).
% 0.19/0.74 cnf(41,plain,
% 0.19/0.74 (P1(x411,a1,x411)),
% 0.19/0.74 inference(rename_variables,[],[15])).
% 0.19/0.74 cnf(42,plain,
% 0.19/0.74 (E(x421,f5(x421,a3))),
% 0.19/0.74 inference(scs_inference,[],[25,15,16,23,24,11,10,29])).
% 0.19/0.74 cnf(43,plain,
% 0.19/0.74 (P2(x431,x432,f5(x431,x432))),
% 0.19/0.74 inference(rename_variables,[],[24])).
% 0.19/0.74 cnf(45,plain,
% 0.19/0.74 (E(x451,f2(x451,a1))),
% 0.19/0.74 inference(scs_inference,[],[25,15,41,16,23,39,24,11,10,29,28])).
% 0.19/0.74 cnf(46,plain,
% 0.19/0.74 (P1(x461,x462,f2(x461,x462))),
% 0.19/0.74 inference(rename_variables,[],[23])).
% 0.19/0.74 cnf(49,plain,
% 0.19/0.74 (P1(x491,x492,f2(x491,x492))),
% 0.19/0.74 inference(rename_variables,[],[23])).
% 0.19/0.74 cnf(50,plain,
% 0.19/0.74 (P1(x501,a1,x501)),
% 0.19/0.74 inference(rename_variables,[],[15])).
% 0.19/0.74 cnf(52,plain,
% 0.19/0.74 (P2(x521,a3,x521)),
% 0.19/0.74 inference(rename_variables,[],[16])).
% 0.19/0.74 cnf(54,plain,
% 0.19/0.74 (P2(x541,f2(x541,a3),x541)),
% 0.19/0.74 inference(scs_inference,[],[25,15,41,50,16,52,18,23,39,46,49,24,11,10,29,28,37,36])).
% 0.19/0.74 cnf(55,plain,
% 0.19/0.74 (P1(x551,x552,f2(x551,x552))),
% 0.19/0.74 inference(rename_variables,[],[23])).
% 0.19/0.74 cnf(56,plain,
% 0.19/0.74 (P2(x561,a3,x561)),
% 0.19/0.74 inference(rename_variables,[],[16])).
% 0.19/0.74 cnf(59,plain,
% 0.19/0.74 (P1(x591,x592,f2(x591,x592))),
% 0.19/0.74 inference(rename_variables,[],[23])).
% 0.19/0.74 cnf(60,plain,
% 0.19/0.74 (P1(x601,a1,x601)),
% 0.19/0.74 inference(rename_variables,[],[15])).
% 0.19/0.74 cnf(62,plain,
% 0.19/0.74 (P2(x621,a3,x621)),
% 0.19/0.74 inference(rename_variables,[],[16])).
% 0.19/0.74 cnf(66,plain,
% 0.19/0.74 (P1(x661,a1,x661)),
% 0.19/0.74 inference(rename_variables,[],[15])).
% 0.19/0.74 cnf(67,plain,
% 0.19/0.74 (P2(x671,a3,x671)),
% 0.19/0.74 inference(rename_variables,[],[16])).
% 0.19/0.74 cnf(68,plain,
% 0.19/0.74 (P2(x681,x682,f5(x681,x682))),
% 0.19/0.74 inference(rename_variables,[],[24])).
% 0.19/0.74 cnf(71,plain,
% 0.19/0.74 (P2(x711,x712,f5(x711,x712))),
% 0.19/0.74 inference(rename_variables,[],[24])).
% 0.19/0.74 cnf(73,plain,
% 0.19/0.74 (P2(x731,a3,x731)),
% 0.19/0.74 inference(rename_variables,[],[16])).
% 0.19/0.74 cnf(76,plain,
% 0.19/0.74 (~P1(a3,a3,a3)),
% 0.19/0.74 inference(scs_inference,[],[25,15,41,50,60,66,16,52,56,62,67,73,18,23,39,46,49,55,24,43,68,11,10,29,28,37,36,34,33,32,31])).
% 0.19/0.74 cnf(82,plain,
% 0.19/0.74 (P2(x821,x822,f5(x822,x821))),
% 0.19/0.74 inference(scs_inference,[],[25,15,41,50,60,66,16,52,56,62,67,73,18,23,39,46,49,55,24,43,68,71,11,10,29,28,37,36,34,33,32,31,2,27])).
% 0.19/0.74 cnf(84,plain,
% 0.19/0.74 (P1(x841,x842,f2(x842,x841))),
% 0.19/0.74 inference(scs_inference,[],[25,15,41,50,60,66,16,52,56,62,67,73,18,23,39,46,49,55,59,24,43,68,71,11,10,29,28,37,36,34,33,32,31,2,27,26])).
% 0.19/0.74 cnf(89,plain,
% 0.19/0.74 (E(f5(a3,x891),f5(f5(a3,a3),x891))),
% 0.19/0.74 inference(scs_inference,[],[25,15,41,50,60,66,16,52,56,62,67,73,18,23,39,46,49,55,59,24,43,68,71,11,10,29,28,37,36,34,33,32,31,2,27,26,8,7,6,5])).
% 0.19/0.74 cnf(93,plain,
% 0.19/0.74 (~E(x931,a6)+~E(f2(a6,a6),x931)),
% 0.19/0.74 inference(scs_inference,[],[25,15,41,50,60,66,16,52,56,62,67,73,17,18,23,39,46,49,55,59,24,43,68,71,11,10,29,28,37,36,34,33,32,31,2,27,26,8,7,6,5,4,9,3])).
% 0.19/0.74 cnf(110,plain,
% 0.19/0.74 (P1(f4(x1101),x1101,a3)),
% 0.19/0.74 inference(rename_variables,[],[21])).
% 0.19/0.74 cnf(111,plain,
% 0.19/0.74 (P2(x1111,f4(x1111),a1)),
% 0.19/0.74 inference(rename_variables,[],[20])).
% 0.19/0.74 cnf(112,plain,
% 0.19/0.74 (P2(a3,x1121,x1121)),
% 0.19/0.74 inference(rename_variables,[],[18])).
% 0.19/0.74 cnf(113,plain,
% 0.19/0.74 (P1(x1131,a1,x1131)),
% 0.19/0.74 inference(rename_variables,[],[15])).
% 0.19/0.74 cnf(116,plain,
% 0.19/0.74 (P1(f4(x1161),x1161,a3)),
% 0.19/0.74 inference(rename_variables,[],[21])).
% 0.19/0.74 cnf(118,plain,
% 0.19/0.74 (P1(x1181,a1,x1181)),
% 0.19/0.74 inference(rename_variables,[],[15])).
% 0.19/0.74 cnf(122,plain,
% 0.19/0.74 (P2(x1221,f4(x1221),a1)),
% 0.19/0.74 inference(rename_variables,[],[20])).
% 0.19/0.74 cnf(123,plain,
% 0.19/0.74 (P1(x1231,x1232,f2(x1231,x1232))),
% 0.19/0.74 inference(rename_variables,[],[23])).
% 0.19/0.74 cnf(126,plain,
% 0.19/0.74 (~P1(a1,a1,a6)),
% 0.19/0.74 inference(scs_inference,[],[20,111,21,110,15,113,118,18,112,23,24,40,37,34,31,28])).
% 0.19/0.74 cnf(127,plain,
% 0.19/0.74 (P1(x1271,a1,x1271)),
% 0.19/0.74 inference(rename_variables,[],[15])).
% 0.19/0.74 cnf(131,plain,
% 0.19/0.74 (P2(x1311,f4(x1311),a1)),
% 0.19/0.74 inference(rename_variables,[],[20])).
% 0.19/0.74 cnf(132,plain,
% 0.19/0.74 (P1(f4(x1321),x1321,a3)),
% 0.19/0.74 inference(rename_variables,[],[21])).
% 0.19/0.74 cnf(133,plain,
% 0.19/0.74 (P1(x1331,x1332,f2(x1331,x1332))),
% 0.19/0.74 inference(rename_variables,[],[23])).
% 0.19/0.74 cnf(136,plain,
% 0.19/0.74 (P2(x1361,f4(x1361),a1)),
% 0.19/0.74 inference(rename_variables,[],[20])).
% 0.19/0.74 cnf(137,plain,
% 0.19/0.74 (P1(f4(x1371),x1371,a3)),
% 0.19/0.74 inference(rename_variables,[],[21])).
% 0.19/0.74 cnf(138,plain,
% 0.19/0.74 (P1(x1381,a1,x1381)),
% 0.19/0.74 inference(rename_variables,[],[15])).
% 0.19/0.74 cnf(142,plain,
% 0.19/0.74 (P2(x1421,f4(x1421),a1)),
% 0.19/0.74 inference(rename_variables,[],[20])).
% 0.19/0.74 cnf(145,plain,
% 0.19/0.74 (~P1(a6,a6,f4(f4(a1)))),
% 0.19/0.74 inference(scs_inference,[],[20,111,122,131,136,21,110,116,132,137,22,15,113,118,127,138,17,18,112,23,123,24,40,37,34,31,28,36,30,32,35])).
% 0.19/0.74 cnf(146,plain,
% 0.19/0.74 (P2(f4(x1461),x1461,a1)),
% 0.19/0.75 inference(rename_variables,[],[22])).
% 0.19/0.75 cnf(150,plain,
% 0.19/0.75 (~P2(f4(f4(a1)),a3,a6)),
% 0.19/0.75 inference(scs_inference,[],[20,111,122,131,136,21,110,116,132,137,22,15,113,118,127,138,17,18,112,23,123,24,40,37,34,31,28,36,30,32,35,27])).
% 0.19/0.75 cnf(153,plain,
% 0.19/0.75 (E(x1531,f5(x1531,a3))),
% 0.19/0.75 inference(rename_variables,[],[42])).
% 0.19/0.75 cnf(156,plain,
% 0.19/0.75 (~P2(x1561,f4(x1561),a6)),
% 0.19/0.75 inference(scs_inference,[],[20,111,122,131,136,142,21,110,116,132,137,22,146,15,113,118,127,138,17,18,112,23,123,133,24,42,40,76,37,34,31,28,36,30,32,35,27,14,11,29])).
% 0.19/0.75 cnf(159,plain,
% 0.19/0.75 (E(x1591,f5(x1591,a3))),
% 0.19/0.75 inference(rename_variables,[],[42])).
% 0.19/0.75 cnf(160,plain,
% 0.19/0.75 (E(f5(x1601,a3),x1601)),
% 0.19/0.75 inference(scs_inference,[],[19,20,111,122,131,136,142,21,110,116,132,137,22,146,15,113,118,127,138,17,18,112,23,123,133,24,42,153,159,40,76,37,34,31,28,36,30,32,35,27,14,11,29,9,2])).
% 0.19/0.75 cnf(162,plain,
% 0.19/0.75 (E(x1621,f5(x1621,a3))),
% 0.19/0.75 inference(rename_variables,[],[42])).
% 0.19/0.75 cnf(167,plain,
% 0.19/0.75 (E(x1671,f2(f5(x1671,a3),a1))),
% 0.19/0.75 inference(scs_inference,[],[19,20,111,122,131,136,142,21,110,116,132,137,22,146,15,113,118,127,138,17,18,112,23,123,133,24,42,153,159,162,45,40,76,37,34,31,28,36,30,32,35,27,14,11,29,9,2,13,12,10,3])).
% 0.19/0.75 cnf(177,plain,
% 0.19/0.75 (E(f5(x1771,a3),x1771)),
% 0.19/0.75 inference(rename_variables,[],[160])).
% 0.19/0.75 cnf(178,plain,
% 0.19/0.75 (~P1(a6,a1,f2(a6,a6))),
% 0.19/0.75 inference(scs_inference,[],[15,38,160,93,28])).
% 0.19/0.75 cnf(179,plain,
% 0.19/0.75 (P1(x1791,a1,x1791)),
% 0.19/0.75 inference(rename_variables,[],[15])).
% 0.19/0.75 cnf(181,plain,
% 0.19/0.75 (~P1(f4(a6),a3,f4(a6))),
% 0.19/0.75 inference(scs_inference,[],[15,38,20,16,17,160,156,93,28,37])).
% 0.19/0.75 cnf(182,plain,
% 0.19/0.75 (P2(x1821,a3,x1821)),
% 0.19/0.75 inference(rename_variables,[],[16])).
% 0.19/0.75 cnf(183,plain,
% 0.19/0.75 (P2(x1831,f4(x1831),a1)),
% 0.19/0.75 inference(rename_variables,[],[20])).
% 0.19/0.75 cnf(184,plain,
% 0.19/0.75 (~P2(x1841,f4(x1841),a6)),
% 0.19/0.75 inference(rename_variables,[],[156])).
% 0.19/0.75 cnf(185,plain,
% 0.19/0.75 (P1(a1,x1851,x1851)),
% 0.19/0.75 inference(rename_variables,[],[17])).
% 0.19/0.75 cnf(188,plain,
% 0.19/0.75 (P2(x1881,f4(x1881),a1)),
% 0.19/0.75 inference(rename_variables,[],[20])).
% 0.19/0.75 cnf(189,plain,
% 0.19/0.75 (~P2(x1891,f4(x1891),a6)),
% 0.19/0.75 inference(rename_variables,[],[156])).
% 0.19/0.75 cnf(190,plain,
% 0.19/0.75 (P1(x1901,a1,x1901)),
% 0.19/0.75 inference(rename_variables,[],[15])).
% 0.19/0.75 cnf(191,plain,
% 0.19/0.75 (P1(x1911,a1,x1911)),
% 0.19/0.75 inference(rename_variables,[],[15])).
% 0.19/0.75 cnf(195,plain,
% 0.19/0.75 (P1(f4(x1951),x1951,a3)),
% 0.19/0.75 inference(rename_variables,[],[21])).
% 0.19/0.75 cnf(196,plain,
% 0.19/0.75 (P2(x1961,a3,x1961)),
% 0.19/0.75 inference(rename_variables,[],[16])).
% 0.19/0.75 cnf(201,plain,
% 0.19/0.75 (P2(f4(x2011),x2011,a1)),
% 0.19/0.75 inference(rename_variables,[],[22])).
% 0.19/0.75 cnf(202,plain,
% 0.19/0.75 (P1(x2021,a1,x2021)),
% 0.19/0.75 inference(rename_variables,[],[15])).
% 0.19/0.75 cnf(208,plain,
% 0.19/0.75 (P2(x2081,a3,x2081)),
% 0.19/0.75 inference(rename_variables,[],[16])).
% 0.19/0.75 cnf(211,plain,
% 0.19/0.75 (P2(x2111,a3,x2111)),
% 0.19/0.75 inference(rename_variables,[],[16])).
% 0.19/0.75 cnf(212,plain,
% 0.19/0.75 (P2(f4(x2121),x2121,a1)),
% 0.19/0.75 inference(rename_variables,[],[22])).
% 0.19/0.75 cnf(217,plain,
% 0.19/0.75 (P1(x2171,a1,x2171)),
% 0.19/0.75 inference(rename_variables,[],[15])).
% 0.19/0.75 cnf(221,plain,
% 0.19/0.75 (P1(x2211,a1,x2211)),
% 0.19/0.75 inference(rename_variables,[],[15])).
% 0.19/0.75 cnf(223,plain,
% 0.19/0.75 (P2(x2231,a3,x2231)),
% 0.19/0.75 inference(rename_variables,[],[16])).
% 0.19/0.75 cnf(225,plain,
% 0.19/0.75 (~P2(f2(a6,a6),f2(a3,a6),f4(f4(a1)))),
% 0.19/0.75 inference(scs_inference,[],[15,179,191,202,217,190,38,20,183,188,21,22,201,212,16,182,196,208,211,223,17,185,23,84,54,160,156,184,145,150,126,76,93,28,37,36,30,26,32,27,29,34,31,35,33])).
% 0.19/0.75 cnf(230,plain,
% 0.19/0.75 (~P2(x2301,f4(x2301),f5(a6,a3))),
% 0.19/0.75 inference(scs_inference,[],[15,179,191,202,217,190,38,20,183,188,21,22,201,212,16,182,196,208,211,223,17,185,23,84,54,160,177,156,184,189,145,150,126,76,93,28,37,36,30,26,32,27,29,34,31,35,33,14])).
% 0.19/0.75 cnf(231,plain,
% 0.19/0.75 (E(f5(x2311,a3),x2311)),
% 0.19/0.75 inference(rename_variables,[],[160])).
% 0.19/0.75 cnf(233,plain,
% 0.19/0.75 (E(f5(x2331,a3),x2331)),
% 0.19/0.75 inference(rename_variables,[],[160])).
% 0.19/0.75 cnf(240,plain,
% 0.19/0.75 (P1(f4(f5(x2401,a3)),x2401,a3)),
% 0.19/0.75 inference(scs_inference,[],[15,179,191,202,217,221,190,38,20,183,188,21,195,22,201,212,16,182,196,208,211,223,17,185,23,84,54,160,177,231,233,156,184,189,145,150,126,45,76,93,28,37,36,30,26,32,27,29,34,31,35,33,14,13,12,3,11,10])).
% 0.19/0.75 cnf(246,plain,
% 0.19/0.75 (~P2(x2461,f4(x2461),f5(a6,a3))),
% 0.19/0.75 inference(rename_variables,[],[230])).
% 0.19/0.75 cnf(248,plain,
% 0.19/0.75 (P1(x2481,a1,x2481)),
% 0.19/0.75 inference(rename_variables,[],[15])).
% 0.19/0.75 cnf(253,plain,
% 0.19/0.75 (P1(x2531,a1,x2531)),
% 0.19/0.75 inference(rename_variables,[],[15])).
% 0.19/0.75 cnf(254,plain,
% 0.19/0.75 (P2(x2541,x2542,f5(x2541,x2542))),
% 0.19/0.75 inference(rename_variables,[],[24])).
% 0.19/0.75 cnf(259,plain,
% 0.19/0.75 (P1(x2591,a1,x2591)),
% 0.19/0.75 inference(rename_variables,[],[15])).
% 0.19/0.75 cnf(260,plain,
% 0.19/0.75 (P2(a3,x2601,x2601)),
% 0.19/0.75 inference(rename_variables,[],[18])).
% 0.19/0.75 cnf(265,plain,
% 0.19/0.75 (P2(x2651,x2652,f5(x2651,x2652))),
% 0.19/0.75 inference(rename_variables,[],[24])).
% 0.19/0.75 cnf(269,plain,
% 0.19/0.75 (P1(x2691,a1,x2691)),
% 0.19/0.75 inference(rename_variables,[],[15])).
% 0.19/0.75 cnf(272,plain,
% 0.19/0.75 (P2(a3,x2721,x2721)),
% 0.19/0.75 inference(rename_variables,[],[18])).
% 0.19/0.75 cnf(273,plain,
% 0.19/0.75 (~P2(x2731,f4(x2731),f5(a6,a3))),
% 0.19/0.75 inference(rename_variables,[],[230])).
% 0.19/0.75 cnf(274,plain,
% 0.19/0.75 (P1(x2741,a1,x2741)),
% 0.19/0.75 inference(rename_variables,[],[15])).
% 0.19/0.75 cnf(275,plain,
% 0.19/0.75 (P2(x2751,x2752,f5(x2751,x2752))),
% 0.19/0.75 inference(rename_variables,[],[24])).
% 0.19/0.75 cnf(278,plain,
% 0.19/0.75 (P2(a3,x2781,x2781)),
% 0.19/0.75 inference(rename_variables,[],[18])).
% 0.19/0.75 cnf(279,plain,
% 0.19/0.75 (~P2(x2791,f4(x2791),f5(a6,a3))),
% 0.19/0.75 inference(rename_variables,[],[230])).
% 0.19/0.75 cnf(280,plain,
% 0.19/0.75 (P1(x2801,a1,x2801)),
% 0.19/0.75 inference(rename_variables,[],[15])).
% 0.19/0.75 cnf(286,plain,
% 0.19/0.75 (P1(x2861,a1,x2861)),
% 0.19/0.75 inference(rename_variables,[],[15])).
% 0.19/0.75 cnf(287,plain,
% 0.19/0.75 (P2(a3,x2871,x2871)),
% 0.19/0.75 inference(rename_variables,[],[18])).
% 0.19/0.75 cnf(292,plain,
% 0.19/0.75 (P1(x2921,a1,x2921)),
% 0.19/0.75 inference(rename_variables,[],[15])).
% 0.19/0.75 cnf(293,plain,
% 0.19/0.75 (P2(a3,x2931,x2931)),
% 0.19/0.75 inference(rename_variables,[],[18])).
% 0.19/0.75 cnf(295,plain,
% 0.19/0.75 (~P2(a1,a1,a3)),
% 0.19/0.75 inference(scs_inference,[],[15,248,253,259,269,274,280,286,292,18,260,272,278,287,293,24,254,265,275,20,23,21,230,246,273,279,240,181,84,45,76,36,30,26,32,93,29,28,34,37,35,27,31,33])).
% 0.19/0.75 cnf(298,plain,
% 0.19/0.75 (P2(a3,x2981,x2981)),
% 0.19/0.75 inference(rename_variables,[],[18])).
% 0.19/0.75 cnf(301,plain,
% 0.19/0.75 (P2(a3,x3011,x3011)),
% 0.19/0.75 inference(rename_variables,[],[18])).
% 0.19/0.75 cnf(303,plain,
% 0.19/0.75 (E(x3031,f2(f5(x3031,a3),a1))),
% 0.19/0.75 inference(rename_variables,[],[167])).
% 0.19/0.75 cnf(304,plain,
% 0.19/0.75 (P1(x3041,f4(x3041),f2(f5(a3,a3),a1))),
% 0.19/0.75 inference(scs_inference,[],[15,248,253,259,269,274,280,286,292,18,260,272,278,287,293,298,301,24,254,265,275,19,20,23,21,230,246,273,279,89,167,303,240,181,84,45,76,36,30,26,32,93,29,28,34,37,35,27,31,33,13,12,11])).
% 0.19/0.75 cnf(388,plain,
% 0.19/0.75 (P2(x3881,a3,x3881)),
% 0.19/0.75 inference(rename_variables,[],[16])).
% 0.19/0.75 cnf(389,plain,
% 0.19/0.75 (P1(a1,x3891,x3891)),
% 0.19/0.75 inference(rename_variables,[],[17])).
% 0.19/0.75 cnf(392,plain,
% 0.19/0.75 (P1(a1,x3921,x3921)),
% 0.19/0.75 inference(rename_variables,[],[17])).
% 0.19/0.75 cnf(393,plain,
% 0.19/0.75 (P1(x3931,f4(x3931),a3)),
% 0.19/0.75 inference(rename_variables,[],[19])).
% 0.19/0.75 cnf(394,plain,
% 0.19/0.75 (P2(x3941,x3942,f5(x3941,x3942))),
% 0.19/0.75 inference(rename_variables,[],[24])).
% 0.19/0.75 cnf(397,plain,
% 0.19/0.75 (P1(x3971,x3972,f2(x3971,x3972))),
% 0.19/0.75 inference(rename_variables,[],[23])).
% 0.19/0.75 cnf(398,plain,
% 0.19/0.75 (P1(a1,x3981,x3981)),
% 0.19/0.75 inference(rename_variables,[],[17])).
% 0.19/0.75 cnf(400,plain,
% 0.19/0.75 (P2(x4001,a3,x4001)),
% 0.19/0.75 inference(rename_variables,[],[16])).
% 0.19/0.75 cnf(404,plain,
% 0.19/0.75 (P2(x4041,a3,x4041)),
% 0.19/0.75 inference(rename_variables,[],[16])).
% 0.19/0.75 cnf(405,plain,
% 0.19/0.75 (P1(x4051,f4(x4051),a3)),
% 0.19/0.75 inference(rename_variables,[],[19])).
% 0.19/0.75 cnf(406,plain,
% 0.19/0.75 (P1(a1,x4061,x4061)),
% 0.19/0.75 inference(rename_variables,[],[17])).
% 0.19/0.75 cnf(409,plain,
% 0.19/0.75 (P1(x4091,x4092,f2(x4091,x4092))),
% 0.19/0.75 inference(rename_variables,[],[23])).
% 0.19/0.75 cnf(411,plain,
% 0.19/0.75 (P2(x4111,a3,x4111)),
% 0.19/0.75 inference(rename_variables,[],[16])).
% 0.19/0.75 cnf(412,plain,
% 0.19/0.75 (P1(a1,x4121,x4121)),
% 0.19/0.75 inference(rename_variables,[],[17])).
% 0.19/0.75 cnf(417,plain,
% 0.19/0.75 (P2(x4171,a3,x4171)),
% 0.19/0.75 inference(rename_variables,[],[16])).
% 0.19/0.75 cnf(426,plain,
% 0.19/0.75 (P1(x4261,x4262,f2(x4261,x4262))),
% 0.19/0.75 inference(rename_variables,[],[23])).
% 0.19/0.75 cnf(428,plain,
% 0.19/0.75 ($false),
% 0.19/0.75 inference(scs_inference,[],[16,388,400,404,411,417,40,20,22,17,389,392,398,406,412,24,394,19,393,405,23,397,409,426,82,304,225,178,295,32,34,37,30,36,26,29,28,27,31,33]),
% 0.19/0.75 ['proof']).
% 0.19/0.75 % SZS output end Proof
% 0.19/0.75 % Total time :0.130000s
%------------------------------------------------------------------------------