TSTP Solution File: RNG040-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : RNG040-1 : 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 : n013.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 13:47:52 EDT 2023
% Result : Unsatisfiable 0.21s 0.66s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG040-1 : 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
% 0.16/0.34 % Computer : n013.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sun Aug 27 02:10:47 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.21/0.54 start to proof:theBenchmark
% 0.21/0.66 %-------------------------------------------
% 0.21/0.66 % File :CSE---1.6
% 0.21/0.66 % Problem :theBenchmark
% 0.21/0.66 % Transform :cnf
% 0.21/0.66 % Format :tptp:raw
% 0.21/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.66
% 0.21/0.66 % Result :Theorem 0.060000s
% 0.21/0.66 % Output :CNFRefutation 0.060000s
% 0.21/0.66 %-------------------------------------------
% 0.21/0.66 %--------------------------------------------------------------------------
% 0.21/0.66 % File : RNG040-1 : TPTP v8.1.2. Released v1.0.0.
% 0.21/0.66 % Domain : Ring Theory
% 0.21/0.66 % Problem : Ring property 4
% 0.21/0.66 % Version : [Wos65] axioms : Incomplete > Augmented > Complete.
% 0.21/0.66 % English :
% 0.21/0.66
% 0.21/0.66 % Refs : [Wos65] Wos (1965), Unpublished Note
% 0.21/0.66 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.21/0.66 % Source : [SPRFN]
% 0.21/0.66 % Names : Problem 29 [Wos65]
% 0.21/0.66
% 0.21/0.66 % Status : Unsatisfiable
% 0.21/0.66 % Rating : 0.00 v8.1.0, 0.11 v7.5.0, 0.05 v7.4.0, 0.12 v7.3.0, 0.08 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.30 v5.3.0, 0.22 v5.2.0, 0.25 v5.1.0, 0.29 v5.0.0, 0.21 v4.1.0, 0.15 v4.0.1, 0.27 v4.0.0, 0.18 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.00 v3.1.0, 0.09 v2.7.0, 0.25 v2.6.0, 0.20 v2.5.0, 0.17 v2.4.0, 0.22 v2.3.0, 0.11 v2.2.1, 0.33 v2.2.0, 0.11 v2.1.0, 0.11 v2.0.0
% 0.21/0.66 % Syntax : Number of clauses : 27 ( 13 unt; 2 nHn; 17 RR)
% 0.21/0.66 % Number of literals : 63 ( 4 equ; 35 neg)
% 0.21/0.66 % Maximal clause size : 5 ( 2 avg)
% 0.21/0.66 % Maximal term depth : 2 ( 1 avg)
% 0.21/0.66 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 0.21/0.66 % Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% 0.21/0.66 % Number of variables : 78 ( 0 sgn)
% 0.21/0.66 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.21/0.66
% 0.21/0.66 % Comments : These are the same axioms as in [MOW76].
% 0.21/0.66 %--------------------------------------------------------------------------
% 0.21/0.66 %----Include ring theory axioms
% 0.21/0.66 include('Axioms/RNG001-0.ax').
% 0.21/0.66 %--------------------------------------------------------------------------
% 0.21/0.66 cnf(right_multiplicative_identity,hypothesis,
% 0.21/0.66 product(A,multiplicative_identity,A) ).
% 0.21/0.66
% 0.21/0.66 cnf(left_multiplicative_identity,hypothesis,
% 0.21/0.66 product(multiplicative_identity,A,A) ).
% 0.21/0.66
% 0.21/0.66 cnf(clause30,hypothesis,
% 0.21/0.66 ( product(A,h(A),multiplicative_identity)
% 0.21/0.66 | A = additive_identity ) ).
% 0.21/0.66
% 0.21/0.66 cnf(clause31,hypothesis,
% 0.21/0.66 ( product(h(A),A,multiplicative_identity)
% 0.21/0.66 | A = additive_identity ) ).
% 0.21/0.66
% 0.21/0.66 cnf(product_symmetry,hypothesis,
% 0.21/0.66 ( ~ product(A,B,C)
% 0.21/0.66 | product(B,A,C) ) ).
% 0.21/0.66
% 0.21/0.66 cnf(b_plus_c,negated_conjecture,
% 0.21/0.66 sum(b,c,d) ).
% 0.21/0.66
% 0.21/0.66 cnf(d_plus_a,negated_conjecture,
% 0.21/0.66 product(d,a,additive_identity) ).
% 0.21/0.66
% 0.21/0.66 cnf(b_plus_a,negated_conjecture,
% 0.21/0.66 product(b,a,l) ).
% 0.21/0.66
% 0.21/0.66 cnf(c_plus_a,negated_conjecture,
% 0.21/0.66 product(c,a,n) ).
% 0.21/0.66
% 0.21/0.66 cnf(prove_equation,negated_conjecture,
% 0.21/0.66 ~ sum(l,n,additive_identity) ).
% 0.21/0.66
% 0.21/0.66 %--------------------------------------------------------------------------
% 0.21/0.66 %-------------------------------------------
% 0.21/0.66 % Proof found
% 0.21/0.66 % SZS status Theorem for theBenchmark
% 0.21/0.66 % SZS output start Proof
% 0.21/0.66 %ClaNum:42(EqnAxiom:15)
% 0.21/0.66 %VarNum:162(SingletonVarNum:78)
% 0.21/0.66 %MaxLitNum:5
% 0.21/0.66 %MaxfuncDepth:1
% 0.21/0.66 %SharedTerms:13
% 0.21/0.66 %goalClause: 16 17 18 19 28
% 0.21/0.66 %singleGoalClaCount:5
% 0.21/0.66 [16]P1(a1,a6,a7)
% 0.21/0.66 [17]P2(a1,a2,a8)
% 0.21/0.66 [18]P2(a6,a2,a10)
% 0.21/0.66 [19]P2(a7,a2,a3)
% 0.21/0.66 [28]~P1(a8,a10,a3)
% 0.21/0.66 [20]P1(x201,a3,x201)
% 0.21/0.66 [21]P2(x211,a11,x211)
% 0.21/0.66 [22]P1(a3,x221,x221)
% 0.21/0.66 [23]P2(a11,x231,x231)
% 0.21/0.66 [24]P1(x241,f5(x241),a3)
% 0.21/0.66 [25]P1(f5(x251),x251,a3)
% 0.21/0.66 [26]P1(x261,x262,f4(x261,x262))
% 0.21/0.66 [27]P2(x271,x272,f12(x271,x272))
% 0.21/0.66 [29]E(x291,a3)+P2(x291,f9(x291),a11)
% 0.21/0.66 [30]E(x301,a3)+P2(f9(x301),x301,a11)
% 0.21/0.66 [31]~P1(x312,x311,x313)+P1(x311,x312,x313)
% 0.21/0.66 [32]~P2(x322,x321,x323)+P2(x321,x322,x323)
% 0.21/0.66 [33]~P1(x333,x334,x331)+E(x331,x332)+~P1(x333,x334,x332)
% 0.21/0.66 [34]~P2(x343,x344,x341)+E(x341,x342)+~P2(x343,x344,x342)
% 0.21/0.66 [35]~P1(x356,x354,x351)+P1(x351,x352,x353)+~P1(x354,x352,x355)+~P1(x356,x355,x353)
% 0.21/0.66 [36]~P1(x361,x366,x364)+P1(x361,x362,x363)+~P1(x364,x365,x363)+~P1(x366,x365,x362)
% 0.21/0.66 [37]~P2(x376,x374,x371)+P2(x371,x372,x373)+~P2(x374,x372,x375)+~P2(x376,x375,x373)
% 0.21/0.66 [38]~P2(x381,x386,x384)+P2(x381,x382,x383)+~P2(x384,x385,x383)+~P2(x386,x385,x382)
% 0.21/0.67 [39]~P2(x397,x395,x392)+~P2(x397,x394,x391)+P1(x391,x392,x393)+~P1(x394,x395,x396)+~P2(x397,x396,x393)
% 0.21/0.67 [40]~P2(x405,x407,x402)+~P2(x404,x407,x401)+P1(x401,x402,x403)+~P1(x404,x405,x406)+~P2(x406,x407,x403)
% 0.21/0.67 [41]~P2(x417,x412,x415)+~P2(x416,x412,x414)+P2(x411,x412,x413)+~P1(x414,x415,x413)+~P1(x416,x417,x411)
% 0.21/0.67 [42]~P2(x421,x427,x425)+~P2(x421,x426,x424)+P2(x421,x422,x423)+~P1(x424,x425,x423)+~P1(x426,x427,x422)
% 0.21/0.67 %EqnAxiom
% 0.21/0.67 [1]E(x11,x11)
% 0.21/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.67 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.21/0.67 [5]~E(x51,x52)+E(f9(x51),f9(x52))
% 0.21/0.67 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 0.21/0.67 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 0.21/0.67 [8]~E(x81,x82)+E(f12(x81,x83),f12(x82,x83))
% 0.21/0.67 [9]~E(x91,x92)+E(f12(x93,x91),f12(x93,x92))
% 0.21/0.67 [10]P1(x102,x103,x104)+~E(x101,x102)+~P1(x101,x103,x104)
% 0.21/0.67 [11]P1(x113,x112,x114)+~E(x111,x112)+~P1(x113,x111,x114)
% 0.21/0.67 [12]P1(x123,x124,x122)+~E(x121,x122)+~P1(x123,x124,x121)
% 0.21/0.67 [13]P2(x132,x133,x134)+~E(x131,x132)+~P2(x131,x133,x134)
% 0.21/0.67 [14]P2(x143,x142,x144)+~E(x141,x142)+~P2(x143,x141,x144)
% 0.21/0.67 [15]P2(x153,x154,x152)+~E(x151,x152)+~P2(x153,x154,x151)
% 0.21/0.67
% 0.21/0.67 %-------------------------------------------
% 0.21/0.67 cnf(43,plain,
% 0.21/0.67 (~P1(a10,a8,a3)),
% 0.21/0.67 inference(scs_inference,[],[28,31])).
% 0.21/0.67 cnf(45,plain,
% 0.21/0.67 (P1(x451,x452,f4(x451,x452))),
% 0.21/0.67 inference(rename_variables,[],[26])).
% 0.21/0.67 cnf(46,plain,
% 0.21/0.67 (~E(f5(a8),a10)),
% 0.21/0.67 inference(scs_inference,[],[28,26,24,31,12,11])).
% 0.21/0.67 cnf(47,plain,
% 0.21/0.67 (P1(x471,f5(x471),a3)),
% 0.21/0.67 inference(rename_variables,[],[24])).
% 0.21/0.67 cnf(50,plain,
% 0.21/0.67 (E(x501,f12(x501,a11))),
% 0.21/0.67 inference(scs_inference,[],[21,28,26,27,24,25,31,12,11,10,34])).
% 0.21/0.67 cnf(51,plain,
% 0.21/0.67 (P2(x511,x512,f12(x511,x512))),
% 0.21/0.67 inference(rename_variables,[],[27])).
% 0.21/0.67 cnf(54,plain,
% 0.21/0.67 (P1(x541,x542,f4(x541,x542))),
% 0.21/0.67 inference(rename_variables,[],[26])).
% 0.21/0.67 cnf(57,plain,
% 0.21/0.67 (P2(x571,x572,f12(x571,x572))),
% 0.21/0.67 inference(rename_variables,[],[27])).
% 0.21/0.67 cnf(60,plain,
% 0.21/0.67 (P1(x601,a3,x601)),
% 0.21/0.67 inference(rename_variables,[],[20])).
% 0.21/0.67 cnf(61,plain,
% 0.21/0.67 (P1(x611,x612,f4(x611,x612))),
% 0.21/0.67 inference(rename_variables,[],[26])).
% 0.21/0.67 cnf(64,plain,
% 0.21/0.67 (P1(x641,a3,x641)),
% 0.21/0.67 inference(rename_variables,[],[20])).
% 0.21/0.67 cnf(68,plain,
% 0.21/0.67 (P1(x681,x682,f4(x681,x682))),
% 0.21/0.67 inference(rename_variables,[],[26])).
% 0.21/0.67 cnf(69,plain,
% 0.21/0.67 (P2(a11,x691,x691)),
% 0.21/0.67 inference(rename_variables,[],[23])).
% 0.21/0.67 cnf(70,plain,
% 0.21/0.67 (P2(x701,x702,f12(x701,x702))),
% 0.21/0.67 inference(rename_variables,[],[27])).
% 0.21/0.67 cnf(73,plain,
% 0.21/0.67 (P1(x731,x732,f4(x731,x732))),
% 0.21/0.67 inference(rename_variables,[],[26])).
% 0.21/0.67 cnf(74,plain,
% 0.21/0.67 (P2(x741,a11,x741)),
% 0.21/0.67 inference(rename_variables,[],[21])).
% 0.21/0.67 cnf(75,plain,
% 0.21/0.67 (P2(x751,x752,f12(x751,x752))),
% 0.21/0.67 inference(rename_variables,[],[27])).
% 0.21/0.67 cnf(78,plain,
% 0.21/0.67 (P2(x781,x782,f12(x781,x782))),
% 0.21/0.67 inference(rename_variables,[],[27])).
% 0.21/0.67 cnf(80,plain,
% 0.21/0.67 (P2(x801,a11,x801)),
% 0.21/0.67 inference(rename_variables,[],[21])).
% 0.21/0.67 cnf(83,plain,
% 0.21/0.67 (P1(x831,x831,f12(x831,f4(a11,a11)))),
% 0.21/0.67 inference(scs_inference,[],[16,20,60,64,21,74,80,23,28,26,45,54,61,68,73,27,51,57,70,75,78,24,47,25,31,12,11,10,34,33,38,36,35,42,41,40,39])).
% 0.21/0.67 cnf(84,plain,
% 0.21/0.67 (P2(x841,x842,f12(x841,x842))),
% 0.21/0.67 inference(rename_variables,[],[27])).
% 0.21/0.67 cnf(87,plain,
% 0.21/0.67 (~E(a3,f4(a8,a10))),
% 0.21/0.67 inference(scs_inference,[],[16,20,60,64,21,74,80,23,28,26,45,54,61,68,73,27,51,57,70,75,78,24,47,25,31,12,11,10,34,33,38,36,35,42,41,40,39,2])).
% 0.21/0.67 cnf(95,plain,
% 0.21/0.67 (E(f12(a6,x951),f12(f12(a6,a11),x951))),
% 0.21/0.67 inference(scs_inference,[],[16,20,60,64,21,74,80,23,17,28,26,45,54,61,68,73,27,51,57,70,75,78,24,47,25,31,12,11,10,34,33,38,36,35,42,41,40,39,2,32,30,29,9,8])).
% 0.21/0.67 cnf(100,plain,
% 0.21/0.67 (~E(x1001,a3)+~E(f4(a8,a10),x1001)),
% 0.21/0.67 inference(scs_inference,[],[16,20,60,64,21,74,80,23,17,28,26,45,54,61,68,73,27,51,57,70,75,78,24,47,25,31,12,11,10,34,33,38,36,35,42,41,40,39,2,32,30,29,9,8,7,6,5,4,3])).
% 0.21/0.67 cnf(103,plain,
% 0.21/0.67 (P2(x1031,a11,x1031)),
% 0.21/0.67 inference(rename_variables,[],[21])).
% 0.21/0.67 cnf(104,plain,
% 0.21/0.67 (P2(x1041,a11,x1041)),
% 0.21/0.67 inference(rename_variables,[],[21])).
% 0.21/0.67 cnf(108,plain,
% 0.21/0.67 (P2(f12(a6,a11),a11,a6)),
% 0.21/0.67 inference(scs_inference,[],[16,20,60,64,21,74,80,104,103,23,69,17,28,26,45,54,61,68,73,27,51,57,70,75,78,84,24,47,25,31,12,11,10,34,33,38,36,35,42,41,40,39,2,32,30,29,9,8,7,6,5,4,3,37,15,14,13])).
% 0.21/0.67 cnf(109,plain,
% 0.21/0.67 (~P2(a7,a2,f4(a8,a10))),
% 0.21/0.67 inference(scs_inference,[],[19,87,34])).
% 0.21/0.67 cnf(112,plain,
% 0.21/0.67 (P1(a3,x1121,x1121)),
% 0.21/0.67 inference(rename_variables,[],[22])).
% 0.21/0.67 cnf(113,plain,
% 0.21/0.67 (P2(x1131,x1132,f12(x1131,x1132))),
% 0.21/0.67 inference(rename_variables,[],[27])).
% 0.21/0.67 cnf(114,plain,
% 0.21/0.67 (P1(x1141,x1142,f4(x1141,x1142))),
% 0.21/0.67 inference(rename_variables,[],[26])).
% 0.21/0.67 cnf(118,plain,
% 0.21/0.67 (P1(x1181,x1182,f4(x1181,x1182))),
% 0.21/0.67 inference(rename_variables,[],[26])).
% 0.21/0.67 cnf(121,plain,
% 0.21/0.67 (P1(x1211,x1212,f4(x1211,x1212))),
% 0.21/0.67 inference(rename_variables,[],[26])).
% 0.21/0.67 cnf(122,plain,
% 0.21/0.67 (P2(x1221,x1222,f12(x1221,x1222))),
% 0.21/0.67 inference(rename_variables,[],[27])).
% 0.21/0.67 cnf(124,plain,
% 0.21/0.67 (~P2(a2,a7,f4(a8,a10))),
% 0.21/0.67 inference(scs_inference,[],[16,22,18,19,20,26,114,118,27,113,87,34,42,36,39,32])).
% 0.21/0.67 cnf(127,plain,
% 0.21/0.67 (P2(x1271,x1272,f12(x1271,x1272))),
% 0.21/0.67 inference(rename_variables,[],[27])).
% 0.21/0.67 cnf(132,plain,
% 0.21/0.67 (P2(a11,x1321,f12(x1321,a11))),
% 0.21/0.67 inference(scs_inference,[],[16,22,18,19,20,23,26,114,118,27,113,122,21,50,87,34,42,36,39,32,38,31,15])).
% 0.21/0.67 cnf(133,plain,
% 0.21/0.67 (P2(a11,x1331,x1331)),
% 0.21/0.67 inference(rename_variables,[],[23])).
% 0.21/0.67 cnf(135,plain,
% 0.21/0.67 (E(x1351,f12(x1351,a11))),
% 0.21/0.67 inference(rename_variables,[],[50])).
% 0.21/0.67 cnf(137,plain,
% 0.21/0.67 (P1(a3,x1371,x1371)),
% 0.21/0.67 inference(rename_variables,[],[22])).
% 0.21/0.67 cnf(139,plain,
% 0.21/0.67 (~P1(f12(a1,a2),a10,f4(a8,a10))),
% 0.21/0.67 inference(scs_inference,[],[16,22,112,18,19,20,23,26,114,118,27,113,122,127,21,50,87,34,42,36,39,32,38,31,15,14,33,41])).
% 0.21/0.67 cnf(140,plain,
% 0.21/0.67 (P2(x1401,x1402,f12(x1401,x1402))),
% 0.21/0.67 inference(rename_variables,[],[27])).
% 0.21/0.67 cnf(144,plain,
% 0.21/0.67 (P1(x1441,x1442,f4(x1441,x1442))),
% 0.21/0.67 inference(rename_variables,[],[26])).
% 0.21/0.67 cnf(147,plain,
% 0.21/0.67 (P1(x1471,x1472,f4(x1471,x1472))),
% 0.21/0.67 inference(rename_variables,[],[26])).
% 0.21/0.67 cnf(148,plain,
% 0.21/0.67 (P2(x1481,x1482,f12(x1481,x1482))),
% 0.21/0.67 inference(rename_variables,[],[27])).
% 0.21/0.67 cnf(150,plain,
% 0.21/0.67 (E(f12(x1501,a11),x1501)),
% 0.21/0.67 inference(scs_inference,[],[16,22,112,137,18,19,20,23,26,114,118,121,144,27,113,122,127,140,21,28,50,135,87,34,42,36,39,32,38,31,15,14,33,41,35,40,2])).
% 0.21/0.67 cnf(152,plain,
% 0.21/0.67 (E(x1521,f12(x1521,a11))),
% 0.21/0.67 inference(rename_variables,[],[50])).
% 0.21/0.67 cnf(154,plain,
% 0.21/0.67 (P1(x1541,x1542,f4(x1541,x1542))),
% 0.21/0.67 inference(rename_variables,[],[26])).
% 0.21/0.67 cnf(155,plain,
% 0.21/0.67 (~E(a8,f12(a1,a2))),
% 0.21/0.67 inference(scs_inference,[],[16,22,112,137,18,19,20,23,26,114,118,121,144,147,154,27,113,122,127,140,21,28,50,135,87,43,34,42,36,39,32,38,31,15,14,33,41,35,40,2,13,12,10])).
% 0.21/0.67 cnf(158,plain,
% 0.21/0.67 (E(x1581,f12(x1581,a11))),
% 0.21/0.67 inference(rename_variables,[],[50])).
% 0.21/0.67 cnf(161,plain,
% 0.21/0.67 (E(x1611,f12(x1611,a11))),
% 0.21/0.67 inference(rename_variables,[],[50])).
% 0.21/0.67 cnf(166,plain,
% 0.21/0.67 (P1(a1,f12(a6,a11),a7)),
% 0.21/0.67 inference(scs_inference,[],[16,22,112,137,18,19,20,23,133,26,114,118,121,144,147,154,27,113,122,127,140,148,21,28,50,135,152,158,161,95,87,43,34,42,36,39,32,38,31,15,14,33,41,35,40,2,13,12,10,3,100,37,11])).
% 0.21/0.67 cnf(171,plain,
% 0.21/0.67 (E(f12(x1711,a11),x1711)),
% 0.21/0.67 inference(rename_variables,[],[150])).
% 0.21/0.67 cnf(175,plain,
% 0.21/0.67 (P2(a11,x1751,x1751)),
% 0.21/0.67 inference(rename_variables,[],[23])).
% 0.21/0.67 cnf(178,plain,
% 0.21/0.67 (P1(a3,x1781,x1781)),
% 0.21/0.67 inference(rename_variables,[],[22])).
% 0.21/0.67 cnf(181,plain,
% 0.21/0.67 (P1(a3,x1811,x1811)),
% 0.21/0.67 inference(rename_variables,[],[22])).
% 0.21/0.67 cnf(182,plain,
% 0.21/0.67 (P1(x1821,f5(x1821),a3)),
% 0.21/0.67 inference(rename_variables,[],[24])).
% 0.21/0.67 cnf(190,plain,
% 0.21/0.67 (P1(a3,x1901,x1901)),
% 0.21/0.67 inference(rename_variables,[],[22])).
% 0.21/0.67 cnf(194,plain,
% 0.21/0.67 (P2(x1941,x1942,f12(x1941,x1942))),
% 0.21/0.67 inference(rename_variables,[],[27])).
% 0.21/0.67 cnf(195,plain,
% 0.21/0.67 (P2(x1951,a11,x1951)),
% 0.21/0.67 inference(rename_variables,[],[21])).
% 0.21/0.67 cnf(199,plain,
% 0.21/0.67 (P2(x1991,a11,x1991)),
% 0.21/0.67 inference(rename_variables,[],[21])).
% 0.21/0.67 cnf(202,plain,
% 0.21/0.67 (P2(x2021,x2022,f12(x2021,x2022))),
% 0.21/0.67 inference(rename_variables,[],[27])).
% 0.21/0.67 cnf(209,plain,
% 0.21/0.67 (E(f12(x2091,a11),x2091)),
% 0.21/0.67 inference(rename_variables,[],[150])).
% 0.21/0.67 cnf(215,plain,
% 0.21/0.67 (E(f12(x2151,a11),x2151)),
% 0.21/0.67 inference(rename_variables,[],[150])).
% 0.21/0.67 cnf(216,plain,
% 0.21/0.67 (~P2(f12(a2,a11),a7,f4(a8,a10))),
% 0.21/0.67 inference(scs_inference,[],[17,22,178,181,190,43,24,182,25,19,23,175,26,27,194,202,21,195,199,83,150,171,209,215,46,166,108,124,132,139,109,32,100,31,34,33,36,42,39,40,38,37,41,15,35,14,13])).
% 0.21/0.67 cnf(229,plain,
% 0.21/0.67 (P1(a3,x2291,x2291)),
% 0.21/0.67 inference(rename_variables,[],[22])).
% 0.21/0.67 cnf(238,plain,
% 0.21/0.67 (P2(x2381,x2382,f12(x2381,x2382))),
% 0.21/0.67 inference(rename_variables,[],[27])).
% 0.21/0.67 cnf(241,plain,
% 0.21/0.67 ($false),
% 0.21/0.67 inference(scs_inference,[],[17,20,22,229,24,19,23,27,238,216,155,109,33,42,32,38,34]),
% 0.21/0.67 ['proof']).
% 0.21/0.67 % SZS output end Proof
% 0.21/0.67 % Total time :0.060000s
%------------------------------------------------------------------------------