TSTP Solution File: RNG006-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG006-3 : 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 : n021.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 13:47:39 EDT 2023
% Result : Unsatisfiable 0.80s 0.86s
% Output : CNFRefutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n021.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 : Sun Aug 27 02:52:27 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.80/0.86 %-------------------------------------------
% 0.80/0.86 % File :CSE---1.6
% 0.80/0.86 % Problem :theBenchmark
% 0.80/0.86 % Transform :cnf
% 0.80/0.86 % Format :tptp:raw
% 0.80/0.86 % Command :java -jar mcs_scs.jar %d %s
% 0.80/0.86
% 0.80/0.86 % Result :Theorem 0.260000s
% 0.80/0.86 % Output :CNFRefutation 0.260000s
% 0.80/0.86 %-------------------------------------------
% 0.80/0.86 %--------------------------------------------------------------------------
% 0.80/0.86 % File : RNG006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.80/0.86 % Domain : Ring Theory
% 0.80/0.86 % Problem : X*(Y+ -Z) = (X*Y) + -(X*Z)
% 0.80/0.86 % Version : [Wos65] axioms.
% 0.80/0.86 % English :
% 0.80/0.86
% 0.80/0.86 % Refs : [Wos65] Wos (1965), Unpublished Note
% 0.80/0.86 % Source : [SPRFN]
% 0.80/0.86 % Names : Problem 25 [Wos65]
% 0.80/0.86
% 0.80/0.86 % Status : Unsatisfiable
% 0.80/0.86 % Rating : 0.25 v8.1.0, 0.11 v7.5.0, 0.10 v7.4.0, 0.22 v7.2.0, 0.25 v7.1.0, 0.29 v7.0.0, 0.14 v6.3.0, 0.00 v6.1.0, 0.20 v6.0.0, 0.33 v5.5.0, 0.38 v5.4.0, 0.33 v5.3.0, 0.42 v5.2.0, 0.38 v5.1.0, 0.43 v5.0.0, 0.29 v4.1.0, 0.11 v4.0.1, 0.17 v4.0.0, 0.33 v3.7.0, 0.17 v3.5.0, 0.00 v3.3.0, 0.14 v3.2.0, 0.00 v3.1.0, 0.22 v2.7.0, 0.00 v2.6.0, 0.29 v2.5.0, 0.00 v2.2.1, 0.22 v2.2.0, 0.14 v2.1.0, 0.25 v2.0.0
% 0.80/0.86 % Syntax : Number of clauses : 22 ( 11 unt; 0 nHn; 16 RR)
% 0.80/0.86 % Number of literals : 55 ( 2 equ; 34 neg)
% 0.80/0.86 % Maximal clause size : 5 ( 2 avg)
% 0.80/0.86 % Maximal term depth : 2 ( 1 avg)
% 0.80/0.86 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 0.80/0.86 % Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% 0.80/0.86 % Number of variables : 71 ( 0 sgn)
% 0.80/0.86 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.80/0.86
% 0.80/0.86 % Comments : These are the same axioms as in [MOW76].
% 0.80/0.86 %--------------------------------------------------------------------------
% 0.80/0.86 %----Include ring theory axioms
% 0.80/0.86 include('Axioms/RNG001-0.ax').
% 0.80/0.86 %--------------------------------------------------------------------------
% 0.80/0.86 cnf(b_plus_inverse_c,hypothesis,
% 0.80/0.86 sum(b,additive_inverse(c),bS_Ic) ).
% 0.80/0.86
% 0.80/0.86 cnf(a_times_b,hypothesis,
% 0.80/0.86 product(a,b,aPb) ).
% 0.80/0.86
% 0.80/0.86 cnf(a_times_c,hypothesis,
% 0.80/0.86 product(a,c,aPc) ).
% 0.80/0.86
% 0.80/0.86 cnf(aPb_plus_IaPc,hypothesis,
% 0.80/0.86 sum(aPb,additive_inverse(aPc),aPb_S_IaPc) ).
% 0.80/0.86
% 0.80/0.86 cnf(prove_a_times_bS_Ic_is_aPb_S__IaPc,negated_conjecture,
% 0.80/0.86 ~ product(a,bS_Ic,aPb_S_IaPc) ).
% 0.80/0.86
% 0.80/0.86 %--------------------------------------------------------------------------
% 0.80/0.86 %-------------------------------------------
% 0.80/0.86 % Proof found
% 0.80/0.86 % SZS status Theorem for theBenchmark
% 0.80/0.86 % SZS output start Proof
% 0.80/0.86 %ClaNum:36(EqnAxiom:14)
% 0.80/0.86 %VarNum:146(SingletonVarNum:71)
% 0.80/0.86 %MaxLitNum:5
% 0.80/0.86 %MaxfuncDepth:1
% 0.80/0.86 %SharedTerms:15
% 0.80/0.86 %goalClause: 25
% 0.80/0.86 %singleGoalClaCount:1
% 0.80/0.86 [15]P1(a1,a2,a3)
% 0.80/0.86 [16]P1(a1,a9,a4)
% 0.80/0.86 [25]~P1(a1,a10,a5)
% 0.80/0.86 [19]P2(a2,f8(a9),a10)
% 0.80/0.86 [20]P2(a3,f8(a4),a5)
% 0.80/0.86 [17]P2(x171,a6,x171)
% 0.80/0.86 [18]P2(a6,x181,x181)
% 0.80/0.86 [21]P2(x211,f8(x211),a6)
% 0.80/0.86 [22]P2(f8(x221),x221,a6)
% 0.80/0.86 [23]P2(x231,x232,f7(x231,x232))
% 0.80/0.86 [24]P1(x241,x242,f11(x241,x242))
% 0.80/0.86 [26]~P2(x262,x261,x263)+P2(x261,x262,x263)
% 0.80/0.86 [27]~P2(x273,x274,x271)+E(x271,x272)+~P2(x273,x274,x272)
% 0.80/0.86 [28]~P1(x283,x284,x281)+E(x281,x282)+~P1(x283,x284,x282)
% 0.80/0.86 [29]~P2(x296,x294,x291)+P2(x291,x292,x293)+~P2(x294,x292,x295)+~P2(x296,x295,x293)
% 0.80/0.86 [30]~P2(x301,x306,x304)+P2(x301,x302,x303)+~P2(x304,x305,x303)+~P2(x306,x305,x302)
% 0.80/0.86 [31]~P1(x316,x314,x311)+P1(x311,x312,x313)+~P1(x314,x312,x315)+~P1(x316,x315,x313)
% 0.80/0.86 [32]~P1(x321,x326,x324)+P1(x321,x322,x323)+~P1(x324,x325,x323)+~P1(x326,x325,x322)
% 0.80/0.86 [33]~P1(x337,x335,x332)+~P1(x337,x334,x331)+P2(x331,x332,x333)+~P2(x334,x335,x336)+~P1(x337,x336,x333)
% 0.80/0.86 [34]~P1(x345,x347,x342)+~P1(x344,x347,x341)+P2(x341,x342,x343)+~P2(x344,x345,x346)+~P1(x346,x347,x343)
% 0.80/0.86 [35]~P1(x357,x352,x355)+~P1(x356,x352,x354)+P1(x351,x352,x353)+~P2(x354,x355,x353)+~P2(x356,x357,x351)
% 0.80/0.86 [36]~P1(x361,x367,x365)+~P1(x361,x366,x364)+P1(x361,x362,x363)+~P2(x364,x365,x363)+~P2(x366,x367,x362)
% 0.80/0.86 %EqnAxiom
% 0.80/0.86 [1]E(x11,x11)
% 0.80/0.86 [2]E(x22,x21)+~E(x21,x22)
% 0.80/0.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.80/0.86 [4]~E(x41,x42)+E(f8(x41),f8(x42))
% 0.80/0.86 [5]~E(x51,x52)+E(f11(x51,x53),f11(x52,x53))
% 0.80/0.86 [6]~E(x61,x62)+E(f11(x63,x61),f11(x63,x62))
% 0.80/0.86 [7]~E(x71,x72)+E(f7(x71,x73),f7(x72,x73))
% 0.80/0.86 [8]~E(x81,x82)+E(f7(x83,x81),f7(x83,x82))
% 0.80/0.86 [9]P1(x92,x93,x94)+~E(x91,x92)+~P1(x91,x93,x94)
% 0.80/0.86 [10]P1(x103,x102,x104)+~E(x101,x102)+~P1(x103,x101,x104)
% 0.80/0.86 [11]P1(x113,x114,x112)+~E(x111,x112)+~P1(x113,x114,x111)
% 0.80/0.86 [12]P2(x122,x123,x124)+~E(x121,x122)+~P2(x121,x123,x124)
% 0.80/0.86 [13]P2(x133,x132,x134)+~E(x131,x132)+~P2(x133,x131,x134)
% 0.80/0.86 [14]P2(x143,x144,x142)+~E(x141,x142)+~P2(x143,x144,x141)
% 0.80/0.86
% 0.80/0.86 %-------------------------------------------
% 0.80/0.87 cnf(37,plain,
% 0.80/0.87 (~E(f11(a1,a10),a5)),
% 0.80/0.87 inference(scs_inference,[],[25,24,11])).
% 0.80/0.87 cnf(38,plain,
% 0.80/0.87 (P1(x381,x382,f11(x381,x382))),
% 0.80/0.87 inference(rename_variables,[],[24])).
% 0.80/0.87 cnf(39,plain,
% 0.80/0.87 (E(a3,f11(a1,a2))),
% 0.80/0.87 inference(scs_inference,[],[25,15,24,38,11,28])).
% 0.80/0.87 cnf(40,plain,
% 0.80/0.87 (P1(x401,x402,f11(x401,x402))),
% 0.80/0.87 inference(rename_variables,[],[24])).
% 0.80/0.87 cnf(42,plain,
% 0.80/0.87 (E(x421,f7(x421,a6))),
% 0.80/0.87 inference(scs_inference,[],[25,17,15,23,24,38,11,28,27])).
% 0.80/0.87 cnf(43,plain,
% 0.80/0.87 (P2(x431,x432,f7(x431,x432))),
% 0.80/0.87 inference(rename_variables,[],[23])).
% 0.80/0.87 cnf(46,plain,
% 0.80/0.87 (P2(x461,x462,f7(x461,x462))),
% 0.80/0.87 inference(rename_variables,[],[23])).
% 0.80/0.87 cnf(49,plain,
% 0.80/0.87 (P2(x491,x492,f7(x491,x492))),
% 0.80/0.87 inference(rename_variables,[],[23])).
% 0.80/0.87 cnf(50,plain,
% 0.80/0.87 (P2(x501,a6,x501)),
% 0.80/0.87 inference(rename_variables,[],[17])).
% 0.80/0.87 cnf(51,plain,
% 0.80/0.87 (P1(x511,x512,f11(x511,x512))),
% 0.80/0.87 inference(rename_variables,[],[24])).
% 0.80/0.87 cnf(54,plain,
% 0.80/0.87 (P2(x541,x542,f7(x541,x542))),
% 0.80/0.87 inference(rename_variables,[],[23])).
% 0.80/0.87 cnf(55,plain,
% 0.80/0.87 (P2(x551,a6,x551)),
% 0.80/0.87 inference(rename_variables,[],[17])).
% 0.80/0.87 cnf(56,plain,
% 0.80/0.87 (P1(x561,x562,f11(x561,x562))),
% 0.80/0.87 inference(rename_variables,[],[24])).
% 0.80/0.87 cnf(59,plain,
% 0.80/0.87 (P1(x591,x592,f11(x591,x592))),
% 0.80/0.87 inference(rename_variables,[],[24])).
% 0.80/0.87 cnf(60,plain,
% 0.80/0.87 (P2(x601,x602,f7(x601,x602))),
% 0.80/0.87 inference(rename_variables,[],[23])).
% 0.80/0.87 cnf(63,plain,
% 0.80/0.87 (P1(x631,x632,f11(x631,x632))),
% 0.80/0.87 inference(rename_variables,[],[24])).
% 0.80/0.87 cnf(64,plain,
% 0.80/0.87 (P2(x641,x642,f7(x641,x642))),
% 0.80/0.87 inference(rename_variables,[],[23])).
% 0.80/0.87 cnf(66,plain,
% 0.80/0.87 (~E(a5,f11(a1,a10))),
% 0.80/0.87 inference(scs_inference,[],[25,17,50,15,23,43,46,49,54,60,24,38,40,51,56,59,11,28,27,30,36,35,34,33,2])).
% 0.80/0.87 cnf(69,plain,
% 0.80/0.87 (E(f7(x691,a3),f7(x691,f11(a1,a2)))),
% 0.80/0.87 inference(scs_inference,[],[25,17,50,15,19,23,43,46,49,54,60,24,38,40,51,56,59,11,28,27,30,36,35,34,33,2,26,8])).
% 0.80/0.87 cnf(70,plain,
% 0.80/0.87 (E(f7(a3,x701),f7(f11(a1,a2),x701))),
% 0.80/0.87 inference(scs_inference,[],[25,17,50,15,19,23,43,46,49,54,60,24,38,40,51,56,59,11,28,27,30,36,35,34,33,2,26,8,7])).
% 0.80/0.87 cnf(71,plain,
% 0.80/0.87 (E(f11(x711,a3),f11(x711,f11(a1,a2)))),
% 0.80/0.87 inference(scs_inference,[],[25,17,50,15,19,23,43,46,49,54,60,24,38,40,51,56,59,11,28,27,30,36,35,34,33,2,26,8,7,6])).
% 0.80/0.87 cnf(72,plain,
% 0.80/0.87 (E(f11(a3,x721),f11(f11(a1,a2),x721))),
% 0.80/0.87 inference(scs_inference,[],[25,17,50,15,19,23,43,46,49,54,60,24,38,40,51,56,59,11,28,27,30,36,35,34,33,2,26,8,7,6,5])).
% 0.80/0.87 cnf(73,plain,
% 0.80/0.87 (E(f8(a3),f8(f11(a1,a2)))),
% 0.80/0.87 inference(scs_inference,[],[25,17,50,15,19,23,43,46,49,54,60,24,38,40,51,56,59,11,28,27,30,36,35,34,33,2,26,8,7,6,5,4])).
% 0.80/0.87 cnf(74,plain,
% 0.80/0.87 (~P1(a1,x741,a5)+~E(x741,a10)),
% 0.80/0.87 inference(scs_inference,[],[25,17,50,15,19,23,43,46,49,54,60,24,38,40,51,56,59,11,28,27,30,36,35,34,33,2,26,8,7,6,5,4,10])).
% 0.80/0.87 cnf(78,plain,
% 0.80/0.87 (P2(x781,a6,x781)),
% 0.80/0.87 inference(rename_variables,[],[17])).
% 0.80/0.87 cnf(83,plain,
% 0.80/0.87 (P1(f11(a1,a2),x831,f11(a3,x831))),
% 0.80/0.87 inference(scs_inference,[],[25,17,50,55,78,18,15,19,23,43,46,49,54,60,64,24,38,40,51,56,59,63,11,28,27,30,36,35,34,33,2,26,8,7,6,5,4,10,29,14,13,12,9])).
% 0.80/0.87 cnf(94,plain,
% 0.80/0.87 (P1(f11(a3,a1),a9,f11(f11(a1,a2),a4))),
% 0.80/0.87 inference(scs_inference,[],[16,20,24,83,66,27,31])).
% 0.80/0.87 cnf(95,plain,
% 0.80/0.87 (P1(x951,x952,f11(x951,x952))),
% 0.80/0.87 inference(rename_variables,[],[24])).
% 0.80/0.87 cnf(96,plain,
% 0.80/0.87 (P1(f11(a1,a2),x961,f11(a3,x961))),
% 0.80/0.87 inference(rename_variables,[],[83])).
% 0.80/0.87 cnf(99,plain,
% 0.80/0.87 (P2(a6,x991,x991)),
% 0.80/0.87 inference(rename_variables,[],[18])).
% 0.80/0.87 cnf(100,plain,
% 0.80/0.87 (P1(x1001,x1002,f11(x1001,x1002))),
% 0.80/0.87 inference(rename_variables,[],[24])).
% 0.80/0.87 cnf(101,plain,
% 0.80/0.87 (P2(x1011,x1012,f7(x1011,x1012))),
% 0.80/0.87 inference(rename_variables,[],[23])).
% 0.80/0.87 cnf(103,plain,
% 0.80/0.87 (P2(a4,a4,f11(f7(a1,a1),a9))),
% 0.80/0.87 inference(scs_inference,[],[16,20,23,101,24,95,100,18,83,66,27,31,35,34])).
% 0.80/0.87 cnf(104,plain,
% 0.80/0.87 (P2(x1041,x1042,f7(x1041,x1042))),
% 0.80/0.87 inference(rename_variables,[],[23])).
% 0.80/0.87 cnf(105,plain,
% 0.80/0.87 (P1(x1051,x1052,f11(x1051,x1052))),
% 0.80/0.87 inference(rename_variables,[],[24])).
% 0.80/0.87 cnf(107,plain,
% 0.80/0.87 (~P2(f11(a1,a10),a4,a3)),
% 0.80/0.87 inference(scs_inference,[],[16,21,20,23,101,24,95,100,18,17,83,66,27,31,35,34,29])).
% 0.80/0.87 cnf(108,plain,
% 0.80/0.87 (P2(x1081,f8(x1081),a6)),
% 0.80/0.87 inference(rename_variables,[],[21])).
% 0.80/0.87 cnf(111,plain,
% 0.80/0.87 (E(f7(x1111,a6),x1111)),
% 0.80/0.87 inference(scs_inference,[],[16,21,20,23,101,24,95,100,18,17,83,42,66,27,31,35,34,29,2])).
% 0.80/0.87 cnf(112,plain,
% 0.80/0.87 (P2(x1121,f8(x1121),f7(a6,a6))),
% 0.80/0.87 inference(scs_inference,[],[16,21,108,20,23,101,24,95,100,18,17,83,42,66,27,31,35,34,29,2,14])).
% 0.80/0.87 cnf(113,plain,
% 0.80/0.87 (E(x1131,f7(x1131,a6))),
% 0.80/0.87 inference(rename_variables,[],[42])).
% 0.80/0.87 cnf(114,plain,
% 0.80/0.87 (P2(x1141,f7(f8(x1141),a6),a6)),
% 0.80/0.87 inference(scs_inference,[],[16,21,108,20,23,101,24,95,100,18,17,83,42,113,66,27,31,35,34,29,2,14,13])).
% 0.80/0.87 cnf(115,plain,
% 0.80/0.87 (E(x1151,f7(x1151,a6))),
% 0.80/0.87 inference(rename_variables,[],[42])).
% 0.80/0.87 cnf(117,plain,
% 0.80/0.87 (P2(x1171,f8(x1171),a6)),
% 0.80/0.87 inference(rename_variables,[],[21])).
% 0.80/0.87 cnf(119,plain,
% 0.80/0.87 (E(x1191,f7(x1191,a6))),
% 0.80/0.87 inference(rename_variables,[],[42])).
% 0.80/0.87 cnf(120,plain,
% 0.80/0.87 (E(f11(a3,a3),f11(f11(a1,a2),f11(a1,a2)))),
% 0.80/0.87 inference(scs_inference,[],[16,21,108,20,23,101,24,95,100,18,17,83,42,113,115,72,71,66,27,31,35,34,29,2,14,13,12,9,3])).
% 0.80/0.87 cnf(124,plain,
% 0.80/0.87 (P1(x1241,x1242,f11(x1241,x1242))),
% 0.80/0.87 inference(rename_variables,[],[24])).
% 0.80/0.87 cnf(128,plain,
% 0.80/0.87 (P2(x1281,x1282,f7(x1281,x1282))),
% 0.80/0.87 inference(rename_variables,[],[23])).
% 0.80/0.87 cnf(134,plain,
% 0.80/0.87 (~P2(f8(a4),a3,f11(a1,a10))),
% 0.80/0.87 inference(scs_inference,[],[16,21,108,20,23,101,104,128,24,95,100,105,124,18,17,83,96,42,113,115,72,71,66,27,31,35,34,29,2,14,13,12,9,3,32,36,33,26])).
% 0.80/0.87 cnf(136,plain,
% 0.80/0.87 (~P2(f8(a3),f11(a1,a10),f8(a4))),
% 0.80/0.87 inference(scs_inference,[],[16,21,108,117,20,23,101,104,128,24,95,100,105,124,18,99,17,83,96,42,113,115,72,71,66,27,31,35,34,29,2,14,13,12,9,3,32,36,33,26,30])).
% 0.80/0.87 cnf(140,plain,
% 0.80/0.87 (P1(a1,f7(a9,a6),a4)),
% 0.82/0.87 inference(scs_inference,[],[16,21,108,117,20,23,101,104,128,24,95,100,105,124,18,99,17,83,96,42,113,115,119,72,71,66,27,31,35,34,29,2,14,13,12,9,3,32,36,33,26,30,10])).
% 0.82/0.87 cnf(147,plain,
% 0.82/0.87 (E(f7(x1471,a6),x1471)),
% 0.82/0.87 inference(rename_variables,[],[111])).
% 0.82/0.87 cnf(149,plain,
% 0.82/0.87 (P2(a6,x1491,x1491)),
% 0.82/0.87 inference(rename_variables,[],[18])).
% 0.82/0.87 cnf(152,plain,
% 0.82/0.87 (P2(x1521,x1522,f7(x1521,x1522))),
% 0.82/0.87 inference(rename_variables,[],[23])).
% 0.82/0.87 cnf(155,plain,
% 0.82/0.87 (P1(x1551,x1552,f11(x1551,x1552))),
% 0.82/0.87 inference(rename_variables,[],[24])).
% 0.82/0.87 cnf(157,plain,
% 0.82/0.87 (P1(f11(f11(a1,a2),a1),a2,f11(a3,a3))),
% 0.82/0.87 inference(scs_inference,[],[15,23,24,155,18,16,111,94,103,140,83,66,74,27,35,32,31])).
% 0.82/0.87 cnf(159,plain,
% 0.82/0.87 (P1(x1591,x1592,f11(x1591,x1592))),
% 0.82/0.87 inference(rename_variables,[],[24])).
% 0.82/0.87 cnf(161,plain,
% 0.82/0.87 (E(f11(a1,a2),a3)),
% 0.82/0.87 inference(scs_inference,[],[15,23,24,155,159,18,16,111,94,103,140,83,66,74,27,35,32,31,28])).
% 0.82/0.87 cnf(162,plain,
% 0.82/0.87 (P1(x1621,x1622,f11(x1621,x1622))),
% 0.82/0.87 inference(rename_variables,[],[24])).
% 0.82/0.87 cnf(166,plain,
% 0.82/0.87 (P2(f8(x1661),x1661,a6)),
% 0.82/0.87 inference(rename_variables,[],[22])).
% 0.82/0.87 cnf(169,plain,
% 0.82/0.87 (~P2(f8(a3),f11(a1,a10),f7(f8(a4),a6))),
% 0.82/0.87 inference(scs_inference,[],[15,22,23,152,24,155,159,18,16,111,147,136,94,103,140,83,66,74,27,35,32,31,28,29,14])).
% 0.82/0.87 cnf(170,plain,
% 0.82/0.87 (E(f7(x1701,a6),x1701)),
% 0.82/0.87 inference(rename_variables,[],[111])).
% 0.82/0.87 cnf(171,plain,
% 0.82/0.87 (~P2(f7(f8(a3),a6),f11(a1,a10),f8(a4))),
% 0.82/0.87 inference(scs_inference,[],[15,22,23,152,24,155,159,18,16,111,147,170,136,94,103,140,83,66,74,27,35,32,31,28,29,14,12])).
% 0.82/0.87 cnf(172,plain,
% 0.82/0.87 (E(f7(x1721,a6),x1721)),
% 0.82/0.87 inference(rename_variables,[],[111])).
% 0.82/0.87 cnf(174,plain,
% 0.82/0.87 (P1(x1741,x1742,f11(x1741,x1742))),
% 0.82/0.87 inference(rename_variables,[],[24])).
% 0.82/0.87 cnf(176,plain,
% 0.82/0.87 (~E(f11(a1,f7(a10,a6)),a5)),
% 0.82/0.87 inference(scs_inference,[],[15,22,19,23,152,24,155,159,162,174,18,16,111,147,170,136,94,103,140,83,66,25,74,27,35,32,31,28,29,14,12,36,11])).
% 0.82/0.87 cnf(177,plain,
% 0.82/0.87 (P1(x1771,x1772,f11(x1771,x1772))),
% 0.82/0.87 inference(rename_variables,[],[24])).
% 0.82/0.87 cnf(180,plain,
% 0.82/0.87 (~P2(a4,f11(a1,a10),a3)),
% 0.82/0.87 inference(scs_inference,[],[15,22,166,19,20,23,152,24,155,159,162,174,18,149,16,111,147,170,136,134,94,103,140,83,66,25,74,27,35,32,31,28,29,14,12,36,11,26,30])).
% 0.82/0.87 cnf(182,plain,
% 0.82/0.87 (P2(f8(x1821),x1821,a6)),
% 0.82/0.87 inference(rename_variables,[],[22])).
% 0.82/0.87 cnf(185,plain,
% 0.82/0.87 (E(f7(x1851,a6),x1851)),
% 0.82/0.87 inference(rename_variables,[],[111])).
% 0.82/0.87 cnf(186,plain,
% 0.82/0.87 (P1(a1,f7(a2,a6),a3)),
% 0.82/0.87 inference(scs_inference,[],[15,22,166,19,20,23,152,24,155,159,162,174,18,149,16,111,147,170,172,136,134,94,103,140,83,42,66,25,74,27,35,32,31,28,29,14,12,36,11,26,30,13,10])).
% 0.82/0.87 cnf(187,plain,
% 0.82/0.87 (E(x1871,f7(x1871,a6))),
% 0.82/0.87 inference(rename_variables,[],[42])).
% 0.82/0.87 cnf(188,plain,
% 0.82/0.87 (~P1(f7(a1,a6),a10,a5)),
% 0.82/0.87 inference(scs_inference,[],[15,22,166,19,20,23,152,24,155,159,162,174,18,149,16,111,147,170,172,185,136,134,94,103,140,83,42,66,25,74,27,35,32,31,28,29,14,12,36,11,26,30,13,10,9])).
% 0.82/0.87 cnf(190,plain,
% 0.82/0.87 (~E(f7(f11(a1,a10),a6),a5)),
% 0.82/0.87 inference(scs_inference,[],[15,37,22,166,19,20,23,152,24,155,159,162,174,18,149,16,111,147,170,172,185,136,134,94,103,140,83,42,187,66,25,74,27,35,32,31,28,29,14,12,36,11,26,30,13,10,9,3])).
% 0.82/0.87 cnf(196,plain,
% 0.82/0.87 (E(f7(f11(a1,a2),x1961),f7(a3,x1961))),
% 0.82/0.87 inference(scs_inference,[],[15,37,22,166,182,19,20,23,152,24,155,159,162,174,177,18,149,16,111,147,170,172,185,70,136,134,94,103,140,83,42,187,66,25,74,27,35,32,31,28,29,14,12,36,11,26,30,13,10,9,3,34,2])).
% 0.82/0.87 cnf(202,plain,
% 0.82/0.87 (P1(x2021,x2022,f11(x2021,x2022))),
% 0.82/0.87 inference(rename_variables,[],[24])).
% 0.82/0.87 cnf(204,plain,
% 0.82/0.87 (~P2(a10,a9,a2)),
% 0.82/0.87 inference(scs_inference,[],[15,24,202,18,16,107,34,33])).
% 0.82/0.87 cnf(205,plain,
% 0.82/0.87 (P1(x2051,x2052,f11(x2051,x2052))),
% 0.82/0.87 inference(rename_variables,[],[24])).
% 0.82/0.87 cnf(207,plain,
% 0.82/0.87 (E(a6,f7(x2071,f8(x2071)))),
% 0.82/0.87 inference(scs_inference,[],[15,21,23,24,202,18,16,107,34,33,27])).
% 0.82/0.87 cnf(208,plain,
% 0.82/0.87 (P2(x2081,x2082,f7(x2081,x2082))),
% 0.82/0.87 inference(rename_variables,[],[23])).
% 0.82/0.87 cnf(210,plain,
% 0.82/0.87 (E(f11(f11(a1,a2),x2101),f11(a3,x2101))),
% 0.82/0.87 inference(scs_inference,[],[15,21,23,24,202,205,18,16,107,83,34,33,27,28])).
% 0.82/0.87 cnf(211,plain,
% 0.82/0.87 (P1(f11(a1,a2),x2111,f11(a3,x2111))),
% 0.82/0.87 inference(rename_variables,[],[83])).
% 0.82/0.87 cnf(212,plain,
% 0.82/0.87 (P1(x2121,x2122,f11(x2121,x2122))),
% 0.82/0.87 inference(rename_variables,[],[24])).
% 0.82/0.87 cnf(215,plain,
% 0.82/0.87 (P2(x2151,x2152,f7(x2151,x2152))),
% 0.82/0.87 inference(rename_variables,[],[23])).
% 0.82/0.87 cnf(216,plain,
% 0.82/0.87 (P2(x2161,f8(x2161),a6)),
% 0.82/0.87 inference(rename_variables,[],[21])).
% 0.82/0.87 cnf(219,plain,
% 0.82/0.87 (P1(f11(a1,a2),x2191,f11(a3,x2191))),
% 0.82/0.87 inference(rename_variables,[],[83])).
% 0.82/0.87 cnf(220,plain,
% 0.82/0.87 (P1(x2201,x2202,f11(x2201,x2202))),
% 0.82/0.87 inference(rename_variables,[],[24])).
% 0.82/0.87 cnf(224,plain,
% 0.82/0.87 (P1(x2241,x2242,f11(x2241,x2242))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(226,plain,
% 0.82/0.88 (~P2(f11(a1,a10),f8(a3),f7(f8(a4),a6))),
% 0.82/0.88 inference(scs_inference,[],[15,21,22,23,208,24,202,205,212,220,18,16,169,107,83,211,219,34,33,27,28,29,32,31,26])).
% 0.82/0.88 cnf(229,plain,
% 0.82/0.88 (P2(x2291,f8(x2291),a6)),
% 0.82/0.88 inference(rename_variables,[],[21])).
% 0.82/0.88 cnf(230,plain,
% 0.82/0.88 (~E(a5,f7(f11(a1,a10),a6))),
% 0.82/0.88 inference(scs_inference,[],[15,21,216,22,23,208,24,202,205,212,220,18,16,169,39,190,107,83,211,219,34,33,27,28,29,32,31,26,12,2])).
% 0.82/0.88 cnf(233,plain,
% 0.82/0.88 (P2(x2331,f8(x2331),a6)),
% 0.82/0.88 inference(rename_variables,[],[21])).
% 0.82/0.88 cnf(237,plain,
% 0.82/0.88 (E(f7(f11(a1,a2),x2371),f7(a3,x2371))),
% 0.82/0.88 inference(rename_variables,[],[196])).
% 0.82/0.88 cnf(238,plain,
% 0.82/0.88 (P2(x2381,x2382,f7(x2381,x2382))),
% 0.82/0.88 inference(rename_variables,[],[23])).
% 0.82/0.88 cnf(241,plain,
% 0.82/0.88 (E(f11(a1,a2),f7(a3,a6))),
% 0.82/0.88 inference(scs_inference,[],[15,21,216,229,233,22,23,208,215,24,202,205,212,220,18,17,16,196,237,73,169,39,190,107,83,211,219,42,34,33,27,28,29,32,31,26,12,2,30,14,13,3])).
% 0.82/0.88 cnf(245,plain,
% 0.82/0.88 (P1(x2451,x2452,f11(x2451,x2452))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(249,plain,
% 0.82/0.88 (P1(x2491,x2492,f11(x2491,x2492))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(250,plain,
% 0.82/0.88 (~P2(f11(a1,a10),x2501,a5)+~P1(a6,a10,x2501)),
% 0.82/0.88 inference(scs_inference,[],[15,21,216,229,233,22,23,208,215,238,24,202,205,212,220,224,245,249,18,17,16,196,237,120,73,169,39,161,190,107,188,111,83,211,219,42,34,33,27,28,29,32,31,26,12,2,30,14,13,3,11,10,9,35])).
% 0.82/0.88 cnf(254,plain,
% 0.82/0.88 (~P1(a1,f8(a9),f8(a4))),
% 0.82/0.88 inference(scs_inference,[],[15,21,216,229,233,22,19,20,23,208,215,238,24,202,205,212,220,224,245,249,18,17,16,196,237,120,73,169,39,161,190,107,188,111,83,211,219,42,25,34,33,27,28,29,32,31,26,12,2,30,14,13,3,11,10,9,35,36])).
% 0.82/0.88 cnf(257,plain,
% 0.82/0.88 (P1(x2571,x2572,f11(x2571,x2572))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(259,plain,
% 0.82/0.88 (~P2(a3,f8(a4),f7(f11(a1,a10),a6))),
% 0.82/0.88 inference(scs_inference,[],[20,24,230,250,27])).
% 0.82/0.88 cnf(262,plain,
% 0.82/0.88 (P1(x2621,x2622,f11(x2621,x2622))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(266,plain,
% 0.82/0.88 (P1(x2661,x2662,f11(x2661,x2662))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(268,plain,
% 0.82/0.88 (~P2(a2,f7(f8(a9),a9),a2)),
% 0.82/0.88 inference(scs_inference,[],[16,19,20,23,24,257,262,18,230,180,186,204,250,27,34,33,29])).
% 0.82/0.88 cnf(269,plain,
% 0.82/0.88 (P2(x2691,x2692,f7(x2691,x2692))),
% 0.82/0.88 inference(rename_variables,[],[23])).
% 0.82/0.88 cnf(271,plain,
% 0.82/0.88 (P2(x2711,x2712,f7(x2712,x2711))),
% 0.82/0.88 inference(scs_inference,[],[16,19,20,23,269,24,257,262,18,230,180,186,204,250,27,34,33,29,26])).
% 0.82/0.88 cnf(274,plain,
% 0.82/0.88 (E(x2741,f7(x2741,a6))),
% 0.82/0.88 inference(rename_variables,[],[42])).
% 0.82/0.88 cnf(275,plain,
% 0.82/0.88 (~P2(f7(a9,a2),f8(a9),f7(a2,a6))),
% 0.82/0.88 inference(scs_inference,[],[16,19,20,23,269,24,257,262,18,230,180,186,204,42,250,27,34,33,29,26,12,30])).
% 0.82/0.88 cnf(279,plain,
% 0.82/0.88 (E(x2791,f7(x2791,a6))),
% 0.82/0.88 inference(rename_variables,[],[42])).
% 0.82/0.88 cnf(280,plain,
% 0.82/0.88 (E(f7(a6,a6),f7(x2801,f8(x2801)))),
% 0.82/0.88 inference(scs_inference,[],[16,19,20,23,269,24,257,262,18,207,230,180,186,204,111,42,274,250,27,34,33,29,26,12,30,14,3])).
% 0.82/0.88 cnf(281,plain,
% 0.82/0.88 (E(f7(x2811,a6),x2811)),
% 0.82/0.88 inference(rename_variables,[],[111])).
% 0.82/0.88 cnf(285,plain,
% 0.82/0.88 (P1(f11(a3,a1),a2,f11(a3,a3))),
% 0.82/0.88 inference(scs_inference,[],[16,19,20,23,269,24,257,262,18,210,157,69,207,230,180,186,204,111,42,274,279,250,27,34,33,29,26,12,30,14,3,2,13,9])).
% 0.82/0.88 cnf(288,plain,
% 0.82/0.88 (P1(x2881,f11(a1,a2),f11(x2881,a3))),
% 0.82/0.88 inference(scs_inference,[],[16,39,19,20,23,269,24,257,262,266,18,210,157,69,207,230,180,186,204,111,42,274,279,250,27,34,33,29,26,12,30,14,3,2,13,9,11,10])).
% 0.82/0.88 cnf(290,plain,
% 0.82/0.88 (E(f7(f7(x2901,a6),x2902),f7(x2901,x2902))),
% 0.82/0.88 inference(scs_inference,[],[16,39,19,20,23,269,24,257,262,266,18,210,157,69,207,230,180,186,204,111,281,42,274,279,250,27,34,33,29,26,12,30,14,3,2,13,9,11,10,7])).
% 0.82/0.88 cnf(313,plain,
% 0.82/0.88 (P2(a6,x3131,x3131)),
% 0.82/0.88 inference(rename_variables,[],[18])).
% 0.82/0.88 cnf(314,plain,
% 0.82/0.88 (P1(x3141,x3142,f11(x3141,x3142))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(317,plain,
% 0.82/0.88 (P1(x3171,f11(a1,a2),f11(x3171,a3))),
% 0.82/0.88 inference(rename_variables,[],[288])).
% 0.82/0.88 cnf(318,plain,
% 0.82/0.88 (P1(x3181,x3182,f11(x3181,x3182))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(322,plain,
% 0.82/0.88 (E(f11(a1,a9),a4)),
% 0.82/0.88 inference(scs_inference,[],[16,20,24,314,318,18,288,285,176,34,32,27,28])).
% 0.82/0.88 cnf(323,plain,
% 0.82/0.88 (P1(x3231,x3232,f11(x3231,x3232))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(326,plain,
% 0.82/0.88 (P1(x3261,x3262,f11(x3261,x3262))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(327,plain,
% 0.82/0.88 (P1(x3271,f11(a1,a2),f11(x3271,a3))),
% 0.82/0.88 inference(rename_variables,[],[288])).
% 0.82/0.88 cnf(331,plain,
% 0.82/0.88 (P1(x3311,x3312,f11(x3311,x3312))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(333,plain,
% 0.82/0.88 (~P2(f11(a1,a10),f7(f8(a3),a6),f8(a4))),
% 0.82/0.88 inference(scs_inference,[],[16,20,24,314,318,323,326,18,313,288,317,171,285,176,34,32,27,28,31,33,26])).
% 0.82/0.88 cnf(335,plain,
% 0.82/0.88 (~P2(f8(a4),f8(f8(a3)),f11(a1,a10))),
% 0.82/0.88 inference(scs_inference,[],[16,22,20,23,24,314,318,323,326,18,313,288,317,226,171,285,176,34,32,27,28,31,33,26,29])).
% 0.82/0.88 cnf(340,plain,
% 0.82/0.88 (E(f7(f7(x3401,a6),x3402),f7(x3401,x3402))),
% 0.82/0.88 inference(rename_variables,[],[290])).
% 0.82/0.88 cnf(347,plain,
% 0.82/0.88 (E(f7(x3471,a6),x3471)),
% 0.82/0.88 inference(rename_variables,[],[111])).
% 0.82/0.88 cnf(350,plain,
% 0.82/0.88 (~E(f7(a5,a6),f7(f11(a1,a10),a6))),
% 0.82/0.88 inference(scs_inference,[],[16,22,20,23,24,314,318,323,326,331,18,313,17,254,290,340,288,317,226,171,285,275,259,176,230,111,42,34,32,27,28,31,33,26,29,12,30,14,13,11,3])).
% 0.82/0.88 cnf(355,plain,
% 0.82/0.88 (P1(x3551,f7(a3,a6),f11(x3551,a3))),
% 0.82/0.88 inference(scs_inference,[],[16,22,20,23,24,314,318,323,326,331,18,313,17,254,290,340,288,317,327,241,226,171,285,275,259,176,230,111,347,42,34,32,27,28,31,33,26,29,12,30,14,13,11,3,2,9,10])).
% 0.82/0.88 cnf(366,plain,
% 0.82/0.88 (P1(x3661,f7(a3,a6),f11(x3661,a3))),
% 0.82/0.88 inference(rename_variables,[],[355])).
% 0.82/0.88 cnf(367,plain,
% 0.82/0.88 (P2(x3671,a6,x3671)),
% 0.82/0.88 inference(rename_variables,[],[17])).
% 0.82/0.88 cnf(368,plain,
% 0.82/0.88 (P2(x3681,x3682,f7(x3681,x3682))),
% 0.82/0.88 inference(rename_variables,[],[23])).
% 0.82/0.88 cnf(371,plain,
% 0.82/0.88 (P1(x3711,f7(a3,a6),f11(x3711,a3))),
% 0.82/0.88 inference(rename_variables,[],[355])).
% 0.82/0.88 cnf(372,plain,
% 0.82/0.88 (P2(x3721,a6,x3721)),
% 0.82/0.88 inference(rename_variables,[],[17])).
% 0.82/0.88 cnf(375,plain,
% 0.82/0.88 (P2(f8(x3751),x3751,a6)),
% 0.82/0.88 inference(rename_variables,[],[22])).
% 0.82/0.88 cnf(376,plain,
% 0.82/0.88 (P2(x3761,a6,x3761)),
% 0.82/0.88 inference(rename_variables,[],[17])).
% 0.82/0.88 cnf(380,plain,
% 0.82/0.88 (P2(x3801,a6,x3801)),
% 0.82/0.88 inference(rename_variables,[],[17])).
% 0.82/0.88 cnf(381,plain,
% 0.82/0.88 (P2(x3811,x3812,f7(x3811,x3812))),
% 0.82/0.88 inference(rename_variables,[],[23])).
% 0.82/0.88 cnf(385,plain,
% 0.82/0.88 (P2(x3851,a6,x3851)),
% 0.82/0.88 inference(rename_variables,[],[17])).
% 0.82/0.88 cnf(386,plain,
% 0.82/0.88 (P1(x3861,x3862,f11(x3861,x3862))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(387,plain,
% 0.82/0.88 (P1(x3871,x3872,f11(x3871,x3872))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(390,plain,
% 0.82/0.88 (P1(x3901,x3902,f11(x3901,x3902))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(391,plain,
% 0.82/0.88 (P1(x3911,x3912,f11(x3911,x3912))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(395,plain,
% 0.82/0.88 (P1(x3951,x3952,f11(x3951,x3952))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(401,plain,
% 0.82/0.88 (P1(x4011,x4012,f11(x4011,x4012))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(408,plain,
% 0.82/0.88 (E(x4081,f7(x4081,a6))),
% 0.82/0.88 inference(rename_variables,[],[42])).
% 0.82/0.88 cnf(410,plain,
% 0.82/0.88 (P2(x4101,a6,x4101)),
% 0.82/0.88 inference(rename_variables,[],[17])).
% 0.82/0.88 cnf(418,plain,
% 0.82/0.88 (E(x4181,f7(x4181,a6))),
% 0.82/0.88 inference(rename_variables,[],[42])).
% 0.82/0.88 cnf(419,plain,
% 0.82/0.88 (P1(x4191,x4192,f7(f11(x4191,x4192),a6))),
% 0.82/0.88 inference(scs_inference,[],[17,367,372,376,380,385,410,39,21,22,375,42,408,418,23,368,381,24,387,390,395,401,386,391,280,112,355,366,371,333,322,285,83,35,34,27,36,33,32,28,26,31,29,12,30,14,13,3,11])).
% 0.82/0.88 cnf(427,plain,
% 0.82/0.88 (P2(x4271,a6,x4271)),
% 0.82/0.88 inference(rename_variables,[],[17])).
% 0.82/0.88 cnf(428,plain,
% 0.82/0.88 (P1(x4281,x4282,f11(x4281,x4282))),
% 0.82/0.88 inference(rename_variables,[],[24])).
% 0.82/0.88 cnf(429,plain,
% 0.82/0.88 (P1(x4291,x4292,f7(f11(x4291,x4292),a6))),
% 0.82/0.88 inference(rename_variables,[],[419])).
% 0.82/0.88 cnf(432,plain,
% 0.82/0.88 (P2(x4321,a6,x4321)),
% 0.82/0.88 inference(rename_variables,[],[17])).
% 0.82/0.88 cnf(435,plain,
% 0.82/0.88 (P1(x4351,x4352,f7(f11(x4351,x4352),a6))),
% 0.82/0.88 inference(rename_variables,[],[419])).
% 0.82/0.88 cnf(438,plain,
% 0.82/0.88 (P2(x4381,a6,x4381)),
% 0.82/0.88 inference(rename_variables,[],[17])).
% 0.82/0.88 cnf(446,plain,
% 0.82/0.88 (P2(x4461,a6,x4461)),
% 0.82/0.88 inference(rename_variables,[],[17])).
% 0.82/0.88 cnf(455,plain,
% 0.82/0.88 (~E(a6,f7(f8(a9),a9))),
% 0.82/0.88 inference(scs_inference,[],[17,427,432,438,446,37,21,22,18,42,24,428,419,429,435,335,350,114,268,25,35,27,28,36,26,29,30,12,13])).
% 0.82/0.88 cnf(599,plain,
% 0.82/0.88 ($false),
% 0.82/0.88 inference(scs_inference,[],[21,271,455,27]),
% 0.82/0.88 ['proof']).
% 0.82/0.88 % SZS output end Proof
% 0.82/0.88 % Total time :0.260000s
%------------------------------------------------------------------------------