TSTP Solution File: BOO013-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : BOO013-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n015.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 18:05:24 EDT 2023
% Result : Unsatisfiable 0.22s 0.69s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 08:06:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.53 start to proof:theBenchmark
% 0.22/0.69 %-------------------------------------------
% 0.22/0.69 % File :CSE---1.6
% 0.22/0.69 % Problem :theBenchmark
% 0.22/0.69 % Transform :cnf
% 0.22/0.69 % Format :tptp:raw
% 0.22/0.69 % Command :java -jar mcs_scs.jar %d %s
% 0.22/0.69
% 0.22/0.69 % Result :Theorem 0.100000s
% 0.22/0.69 % Output :CNFRefutation 0.100000s
% 0.22/0.69 %-------------------------------------------
% 0.22/0.69 %--------------------------------------------------------------------------
% 0.22/0.69 % File : BOO013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.22/0.69 % Domain : Boolean Algebra
% 0.22/0.69 % Problem : The inverse of X is unique
% 0.22/0.69 % Version : [MOW76] axioms : Augmented.
% 0.22/0.69 % English :
% 0.22/0.69
% 0.22/0.69 % Refs : [Whi61] Whitesitt (1961), Boolean Algebra and Its Applications
% 0.22/0.69 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.22/0.69 % Source : [MOW76]
% 0.22/0.69 % Names : B9 [MOW76]
% 0.22/0.69
% 0.22/0.69 % Status : Unsatisfiable
% 0.22/0.69 % Rating : 0.00 v6.0.0, 0.33 v5.5.0, 0.38 v5.4.0, 0.33 v5.3.0, 0.50 v5.2.0, 0.38 v5.1.0, 0.29 v5.0.0, 0.00 v4.0.0, 0.17 v3.5.0, 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.4.0, 0.17 v2.3.0, 0.00 v2.2.1, 0.11 v2.2.0, 0.00 v2.1.0, 0.00 v2.0.0
% 0.22/0.69 % Syntax : Number of clauses : 27 ( 15 unt; 0 nHn; 17 RR)
% 0.22/0.69 % Number of literals : 65 ( 3 equ; 39 neg)
% 0.22/0.69 % Maximal clause size : 5 ( 2 avg)
% 0.22/0.69 % Maximal term depth : 2 ( 1 avg)
% 0.22/0.69 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 0.22/0.69 % Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% 0.22/0.69 % Number of variables : 82 ( 0 sgn)
% 0.22/0.69 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.22/0.69
% 0.22/0.69 % Comments :
% 0.22/0.69 %--------------------------------------------------------------------------
% 0.22/0.69 %----Include Boolean algebra axioms
% 0.22/0.69 include('Axioms/BOO002-0.ax').
% 0.22/0.69 %--------------------------------------------------------------------------
% 0.22/0.69 cnf(sum_to_multiplicative_identity1,negated_conjecture,
% 0.22/0.69 sum(x,y,multiplicative_identity) ).
% 0.22/0.69
% 0.22/0.69 cnf(sum_to_multiplicative_identity2,negated_conjecture,
% 0.22/0.69 sum(x,z,multiplicative_identity) ).
% 0.22/0.69
% 0.22/0.69 cnf(product_to_additive_identity1,negated_conjecture,
% 0.22/0.69 product(x,y,additive_identity) ).
% 0.22/0.69
% 0.22/0.69 cnf(product_to_additive_identity2,negated_conjecture,
% 0.22/0.69 product(x,z,additive_identity) ).
% 0.22/0.69
% 0.22/0.69 cnf(prove_both_inverse_are_equal,negated_conjecture,
% 0.22/0.69 y != z ).
% 0.22/0.69
% 0.22/0.69 %--------------------------------------------------------------------------
% 0.22/0.69 %-------------------------------------------
% 0.22/0.69 % Proof found
% 0.22/0.69 % SZS status Theorem for theBenchmark
% 0.22/0.69 % SZS output start Proof
% 0.22/0.70 %ClaNum:41(EqnAxiom:14)
% 0.22/0.70 %VarNum:172(SingletonVarNum:82)
% 0.22/0.70 %MaxLitNum:5
% 0.22/0.70 %MaxfuncDepth:1
% 0.22/0.70 %SharedTerms:10
% 0.22/0.70 %goalClause: 15 16 17 18 29
% 0.22/0.70 %singleGoalClaCount:5
% 0.22/0.70 [15]P1(a1,a7,a2)
% 0.22/0.70 [16]P1(a1,a8,a2)
% 0.22/0.70 [17]P2(a1,a7,a3)
% 0.22/0.70 [18]P2(a1,a8,a3)
% 0.22/0.70 [29]~E(a8,a7)
% 0.22/0.70 [19]P1(x191,a3,x191)
% 0.22/0.70 [20]P2(x201,a2,x201)
% 0.22/0.70 [21]P1(a3,x211,x211)
% 0.22/0.70 [22]P2(a2,x221,x221)
% 0.22/0.70 [23]P1(x231,f5(x231),a2)
% 0.22/0.70 [24]P2(x241,f5(x241),a3)
% 0.22/0.70 [25]P1(f5(x251),x251,a2)
% 0.22/0.70 [26]P2(f5(x261),x261,a3)
% 0.22/0.70 [27]P1(x271,x272,f4(x271,x272))
% 0.22/0.70 [28]P2(x281,x282,f6(x281,x282))
% 0.22/0.70 [30]~P1(x302,x301,x303)+P1(x301,x302,x303)
% 0.22/0.70 [31]~P2(x312,x311,x313)+P2(x311,x312,x313)
% 0.22/0.70 [32]~P1(x323,x324,x321)+E(x321,x322)+~P1(x323,x324,x322)
% 0.22/0.70 [33]~P2(x333,x334,x331)+E(x331,x332)+~P2(x333,x334,x332)
% 0.22/0.70 [34]~P2(x347,x345,x343)+~P2(x346,x344,x341)+P1(x341,x342,x343)+~P1(x344,x342,x345)+~P1(x346,x342,x347)
% 0.22/0.70 [35]~P2(x357,x355,x352)+~P2(x357,x354,x351)+P1(x351,x352,x353)+~P1(x354,x355,x356)+~P2(x357,x356,x353)
% 0.22/0.70 [36]~P2(x365,x367,x362)+~P2(x364,x367,x361)+P1(x361,x362,x363)+~P1(x364,x365,x366)+~P2(x366,x367,x363)
% 0.22/0.70 [37]~P2(x377,x375,x373)+~P2(x376,x374,x372)+P1(x371,x372,x373)+~P1(x371,x374,x375)+~P1(x371,x376,x377)
% 0.22/0.70 [38]~P2(x387,x382,x385)+~P2(x386,x382,x384)+P2(x381,x382,x383)+~P1(x384,x385,x383)+~P1(x386,x387,x381)
% 0.22/0.70 [39]~P2(x397,x396,x394)+P2(x391,x392,x393)+~P1(x394,x395,x393)+~P1(x396,x395,x392)+~P1(x397,x395,x391)
% 0.22/0.70 [40]~P2(x407,x406,x405)+P2(x401,x402,x403)+~P1(x404,x405,x403)+~P1(x404,x406,x402)+~P1(x404,x407,x401)
% 0.22/0.70 [41]~P2(x411,x417,x415)+~P2(x411,x416,x414)+P2(x411,x412,x413)+~P1(x414,x415,x413)+~P1(x416,x417,x412)
% 0.22/0.70 %EqnAxiom
% 0.22/0.70 [1]E(x11,x11)
% 0.22/0.70 [2]E(x22,x21)+~E(x21,x22)
% 0.22/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.22/0.70 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.22/0.70 [5]~E(x51,x52)+E(f6(x51,x53),f6(x52,x53))
% 0.22/0.70 [6]~E(x61,x62)+E(f6(x63,x61),f6(x63,x62))
% 0.22/0.70 [7]~E(x71,x72)+E(f4(x71,x73),f4(x72,x73))
% 0.22/0.70 [8]~E(x81,x82)+E(f4(x83,x81),f4(x83,x82))
% 0.22/0.70 [9]P1(x92,x93,x94)+~E(x91,x92)+~P1(x91,x93,x94)
% 0.22/0.70 [10]P1(x103,x102,x104)+~E(x101,x102)+~P1(x103,x101,x104)
% 0.22/0.70 [11]P1(x113,x114,x112)+~E(x111,x112)+~P1(x113,x114,x111)
% 0.22/0.70 [12]P2(x122,x123,x124)+~E(x121,x122)+~P2(x121,x123,x124)
% 0.22/0.70 [13]P2(x133,x132,x134)+~E(x131,x132)+~P2(x133,x131,x134)
% 0.22/0.70 [14]P2(x143,x144,x142)+~E(x141,x142)+~P2(x143,x144,x141)
% 0.22/0.70
% 0.22/0.70 %-------------------------------------------
% 0.22/0.70 cnf(42,plain,
% 0.22/0.70 (E(x421,f6(x421,a2))),
% 0.22/0.70 inference(scs_inference,[],[20,28,33])).
% 0.22/0.70 cnf(43,plain,
% 0.22/0.70 (P2(x431,x432,f6(x431,x432))),
% 0.22/0.70 inference(rename_variables,[],[28])).
% 0.22/0.70 cnf(44,plain,
% 0.22/0.70 (E(a2,f4(a1,a7))),
% 0.22/0.70 inference(scs_inference,[],[15,20,27,28,33,32])).
% 0.22/0.70 cnf(45,plain,
% 0.22/0.70 (P1(x451,x452,f4(x451,x452))),
% 0.22/0.70 inference(rename_variables,[],[27])).
% 0.22/0.70 cnf(48,plain,
% 0.22/0.70 (P1(x481,a3,x481)),
% 0.22/0.70 inference(rename_variables,[],[19])).
% 0.22/0.70 cnf(49,plain,
% 0.22/0.70 (P2(x491,x492,f6(x491,x492))),
% 0.22/0.70 inference(rename_variables,[],[28])).
% 0.22/0.70 cnf(52,plain,
% 0.22/0.70 (P2(x521,x522,f6(x521,x522))),
% 0.22/0.70 inference(rename_variables,[],[28])).
% 0.22/0.70 cnf(53,plain,
% 0.22/0.70 (P1(x531,x532,f4(x531,x532))),
% 0.22/0.70 inference(rename_variables,[],[27])).
% 0.22/0.70 cnf(56,plain,
% 0.22/0.70 (P2(x561,x562,f6(x561,x562))),
% 0.22/0.70 inference(rename_variables,[],[28])).
% 0.22/0.70 cnf(57,plain,
% 0.22/0.70 (P1(x571,x572,f4(x571,x572))),
% 0.22/0.70 inference(rename_variables,[],[27])).
% 0.22/0.70 cnf(59,plain,
% 0.22/0.70 (P2(a2,f5(a7),f6(a1,f5(a7)))),
% 0.22/0.70 inference(scs_inference,[],[15,19,48,20,17,27,45,53,28,43,49,52,56,24,33,32,41,40,39,38])).
% 0.22/0.70 cnf(60,plain,
% 0.22/0.70 (P1(x601,a3,x601)),
% 0.22/0.70 inference(rename_variables,[],[19])).
% 0.22/0.70 cnf(62,plain,
% 0.22/0.70 (P2(x621,x622,f6(x621,x622))),
% 0.22/0.70 inference(rename_variables,[],[28])).
% 0.22/0.70 cnf(65,plain,
% 0.22/0.70 (P2(x651,a2,x651)),
% 0.22/0.70 inference(rename_variables,[],[20])).
% 0.22/0.70 cnf(66,plain,
% 0.22/0.70 (P2(x661,x662,f6(x661,x662))),
% 0.22/0.70 inference(rename_variables,[],[28])).
% 0.22/0.70 cnf(69,plain,
% 0.22/0.70 (P2(x691,x692,f6(x691,x692))),
% 0.22/0.70 inference(rename_variables,[],[28])).
% 0.22/0.70 cnf(71,plain,
% 0.22/0.70 (P2(x711,a2,x711)),
% 0.22/0.70 inference(rename_variables,[],[20])).
% 0.22/0.70 cnf(75,plain,
% 0.22/0.70 (P2(x751,x752,f6(x751,x752))),
% 0.22/0.70 inference(rename_variables,[],[28])).
% 0.22/0.70 cnf(79,plain,
% 0.22/0.70 (P2(x791,a2,x791)),
% 0.22/0.70 inference(rename_variables,[],[20])).
% 0.22/0.70 cnf(82,plain,
% 0.22/0.70 (~E(a7,a8)),
% 0.22/0.70 inference(scs_inference,[],[15,19,48,60,20,65,71,17,29,27,45,53,57,28,43,49,52,56,62,66,69,75,24,33,32,41,40,39,38,37,36,35,34,2])).
% 0.22/0.70 cnf(89,plain,
% 0.22/0.70 (E(f6(x891,a2),f6(x891,f6(a2,a2)))),
% 0.22/0.70 inference(scs_inference,[],[15,19,48,60,20,65,71,17,29,27,45,53,57,28,43,49,52,56,62,66,69,75,24,33,32,41,40,39,38,37,36,35,34,2,31,30,8,7,6])).
% 0.22/0.70 cnf(90,plain,
% 0.22/0.70 (E(f6(a2,x901),f6(f6(a2,a2),x901))),
% 0.22/0.70 inference(scs_inference,[],[15,19,48,60,20,65,71,17,29,27,45,53,57,28,43,49,52,56,62,66,69,75,24,33,32,41,40,39,38,37,36,35,34,2,31,30,8,7,6,5])).
% 0.22/0.70 cnf(92,plain,
% 0.22/0.70 (~E(x921,a7)+~E(a8,x921)),
% 0.22/0.70 inference(scs_inference,[],[15,19,48,60,20,65,71,17,29,27,45,53,57,28,43,49,52,56,62,66,69,75,24,33,32,41,40,39,38,37,36,35,34,2,31,30,8,7,6,5,4,3])).
% 0.22/0.70 cnf(94,plain,
% 0.22/0.70 (P2(a2,f6(a2,a2),a2)),
% 0.22/0.70 inference(scs_inference,[],[15,19,48,60,20,65,71,79,17,29,27,45,53,57,28,43,49,52,56,62,66,69,75,24,33,32,41,40,39,38,37,36,35,34,2,31,30,8,7,6,5,4,3,14,13])).
% 0.22/0.70 cnf(99,plain,
% 0.22/0.70 (~E(f6(a8,a2),a7)),
% 0.22/0.70 inference(scs_inference,[],[42,92])).
% 0.22/0.70 cnf(100,plain,
% 0.22/0.70 (E(x1001,f6(x1001,a2))),
% 0.22/0.70 inference(rename_variables,[],[42])).
% 0.22/0.70 cnf(102,plain,
% 0.22/0.70 (P1(x1021,a3,x1021)),
% 0.22/0.70 inference(rename_variables,[],[19])).
% 0.22/0.70 cnf(105,plain,
% 0.22/0.70 (P2(a2,x1051,x1051)),
% 0.22/0.70 inference(rename_variables,[],[22])).
% 0.22/0.70 cnf(106,plain,
% 0.22/0.70 (P1(x1061,x1062,f4(x1061,x1062))),
% 0.22/0.70 inference(rename_variables,[],[27])).
% 0.22/0.70 cnf(109,plain,
% 0.22/0.70 (P1(x1091,x1092,f4(x1091,x1092))),
% 0.22/0.70 inference(rename_variables,[],[27])).
% 0.22/0.70 cnf(110,plain,
% 0.22/0.70 (P2(x1101,x1102,f6(x1101,x1102))),
% 0.22/0.70 inference(rename_variables,[],[28])).
% 0.22/0.70 cnf(112,plain,
% 0.22/0.70 (P1(x1121,x1121,f6(f4(a2,a2),x1121))),
% 0.22/0.70 inference(scs_inference,[],[15,22,105,18,19,27,106,109,28,110,29,42,92,32,34,35,36])).
% 0.22/0.70 cnf(114,plain,
% 0.22/0.70 (P2(a2,x1141,x1141)),
% 0.22/0.70 inference(rename_variables,[],[22])).
% 0.22/0.70 cnf(115,plain,
% 0.22/0.70 (P1(x1151,x1152,f4(x1151,x1152))),
% 0.22/0.70 inference(rename_variables,[],[27])).
% 0.22/0.70 cnf(116,plain,
% 0.22/0.70 (P2(x1161,x1162,f6(x1161,x1162))),
% 0.22/0.70 inference(rename_variables,[],[28])).
% 0.22/0.70 cnf(118,plain,
% 0.22/0.70 (E(f6(x1181,a2),x1181)),
% 0.22/0.70 inference(scs_inference,[],[15,22,105,18,19,27,106,109,28,110,29,42,100,92,32,34,35,36,2])).
% 0.22/0.70 cnf(122,plain,
% 0.22/0.70 (E(x1221,f6(x1221,a2))),
% 0.22/0.70 inference(rename_variables,[],[42])).
% 0.22/0.70 cnf(124,plain,
% 0.22/0.70 (E(x1241,f6(x1241,a2))),
% 0.22/0.70 inference(rename_variables,[],[42])).
% 0.22/0.70 cnf(126,plain,
% 0.22/0.70 (E(x1261,f6(x1261,a2))),
% 0.22/0.70 inference(rename_variables,[],[42])).
% 0.22/0.70 cnf(128,plain,
% 0.22/0.70 (~P2(a2,a8,a7)),
% 0.22/0.70 inference(scs_inference,[],[15,22,105,114,16,18,19,27,106,109,28,110,29,42,100,122,124,90,92,32,34,35,36,2,30,11,10,3,33])).
% 0.22/0.70 cnf(129,plain,
% 0.22/0.70 (P2(a2,x1291,x1291)),
% 0.22/0.70 inference(rename_variables,[],[22])).
% 0.22/0.70 cnf(134,plain,
% 0.22/0.70 (P2(a2,x1341,x1341)),
% 0.22/0.70 inference(rename_variables,[],[22])).
% 0.22/0.70 cnf(135,plain,
% 0.22/0.70 (P1(x1351,a3,x1351)),
% 0.22/0.70 inference(rename_variables,[],[19])).
% 0.22/0.70 cnf(137,plain,
% 0.22/0.70 (~P1(a7,a7,a8)),
% 0.22/0.70 inference(scs_inference,[],[15,22,105,114,129,16,18,23,26,19,102,135,27,106,109,115,28,110,29,42,100,122,124,90,92,32,34,35,36,2,30,11,10,3,33,41,40])).
% 0.22/0.70 cnf(145,plain,
% 0.22/0.70 (~P1(a3,f6(a7,a8),a7)),
% 0.22/0.70 inference(scs_inference,[],[15,22,105,114,129,16,18,23,26,19,102,135,21,27,106,109,115,28,110,116,29,42,100,122,124,90,92,32,34,35,36,2,30,11,10,3,33,41,40,39,38])).
% 0.22/0.71 cnf(146,plain,
% 0.22/0.71 (P2(x1461,x1462,f6(x1461,x1462))),
% 0.22/0.71 inference(rename_variables,[],[28])).
% 0.22/0.71 cnf(149,plain,
% 0.22/0.71 (P2(a2,x1491,x1491)),
% 0.22/0.71 inference(rename_variables,[],[22])).
% 0.22/0.71 cnf(153,plain,
% 0.22/0.71 (E(x1531,f6(x1531,a2))),
% 0.22/0.71 inference(rename_variables,[],[42])).
% 0.22/0.71 cnf(155,plain,
% 0.22/0.71 (E(x1551,f6(x1551,a2))),
% 0.22/0.71 inference(rename_variables,[],[42])).
% 0.22/0.71 cnf(157,plain,
% 0.22/0.71 (E(x1571,f6(x1571,a2))),
% 0.22/0.71 inference(rename_variables,[],[42])).
% 0.22/0.71 cnf(160,plain,
% 0.22/0.71 (~P2(a8,a2,a7)),
% 0.22/0.71 inference(scs_inference,[],[15,22,105,114,129,134,149,16,18,23,26,19,102,135,21,27,106,109,115,28,110,116,146,29,42,100,122,124,126,153,155,157,90,92,32,34,35,36,2,30,11,10,3,33,41,40,39,38,37,14,13,12,9,31])).
% 0.22/0.71 cnf(163,plain,
% 0.22/0.71 (P1(x1631,a3,x1631)),
% 0.22/0.71 inference(rename_variables,[],[19])).
% 0.22/0.71 cnf(166,plain,
% 0.22/0.71 (E(f6(x1661,a2),x1661)),
% 0.22/0.71 inference(rename_variables,[],[118])).
% 0.22/0.71 cnf(168,plain,
% 0.22/0.71 (P2(a2,x1681,x1681)),
% 0.22/0.71 inference(rename_variables,[],[22])).
% 0.22/0.71 cnf(175,plain,
% 0.22/0.71 (P2(x1751,f5(x1751),a3)),
% 0.22/0.71 inference(rename_variables,[],[24])).
% 0.22/0.71 cnf(176,plain,
% 0.22/0.71 (P2(a2,x1761,x1761)),
% 0.22/0.71 inference(rename_variables,[],[22])).
% 0.22/0.71 cnf(177,plain,
% 0.22/0.71 (P1(x1771,f5(x1771),a2)),
% 0.22/0.71 inference(rename_variables,[],[23])).
% 0.22/0.71 cnf(178,plain,
% 0.22/0.71 (P1(a3,x1781,x1781)),
% 0.22/0.71 inference(rename_variables,[],[21])).
% 0.22/0.71 cnf(181,plain,
% 0.22/0.71 (P2(x1811,f5(x1811),a3)),
% 0.22/0.71 inference(rename_variables,[],[24])).
% 0.22/0.71 cnf(182,plain,
% 0.22/0.71 (P2(a2,x1821,x1821)),
% 0.22/0.71 inference(rename_variables,[],[22])).
% 0.22/0.71 cnf(183,plain,
% 0.22/0.71 (P1(f5(x1831),x1831,a2)),
% 0.22/0.71 inference(rename_variables,[],[25])).
% 0.22/0.71 cnf(184,plain,
% 0.22/0.71 (P1(x1841,a3,x1841)),
% 0.22/0.71 inference(rename_variables,[],[19])).
% 0.22/0.71 cnf(186,plain,
% 0.22/0.71 (~P2(a7,a7,f6(a7,a8))),
% 0.22/0.71 inference(scs_inference,[],[25,183,22,168,176,182,23,24,175,26,19,163,21,27,29,118,94,145,32,92,33,38,34,37,36])).
% 0.22/0.71 cnf(187,plain,
% 0.22/0.71 (P2(f5(x1871),x1871,a3)),
% 0.22/0.71 inference(rename_variables,[],[26])).
% 0.22/0.71 cnf(188,plain,
% 0.22/0.71 (P1(f5(x1881),x1881,a2)),
% 0.22/0.71 inference(rename_variables,[],[25])).
% 0.22/0.71 cnf(189,plain,
% 0.22/0.71 (P2(a2,x1891,x1891)),
% 0.22/0.71 inference(rename_variables,[],[22])).
% 0.22/0.71 cnf(192,plain,
% 0.22/0.71 (P1(f5(x1921),x1921,a2)),
% 0.22/0.71 inference(rename_variables,[],[25])).
% 0.22/0.71 cnf(193,plain,
% 0.22/0.71 (P2(a2,x1931,x1931)),
% 0.22/0.71 inference(rename_variables,[],[22])).
% 0.22/0.71 cnf(194,plain,
% 0.22/0.71 (P2(x1941,x1942,f6(x1941,x1942))),
% 0.22/0.71 inference(rename_variables,[],[28])).
% 0.22/0.71 cnf(196,plain,
% 0.22/0.71 (P2(x1961,x1962,f6(x1962,x1961))),
% 0.22/0.71 inference(scs_inference,[],[25,183,188,22,168,176,182,189,23,24,175,26,19,163,21,27,28,194,29,118,59,94,145,32,92,33,38,34,37,36,35,31])).
% 0.22/0.71 cnf(201,plain,
% 0.22/0.71 (P1(x2011,a3,x2011)),
% 0.22/0.71 inference(rename_variables,[],[19])).
% 0.22/0.71 cnf(206,plain,
% 0.22/0.71 (E(f6(x2061,a2),x2061)),
% 0.22/0.71 inference(rename_variables,[],[118])).
% 0.22/0.71 cnf(207,plain,
% 0.22/0.71 (E(x2071,f6(x2071,f6(a2,a2)))),
% 0.22/0.71 inference(scs_inference,[],[16,25,183,188,42,22,168,176,182,189,193,23,24,175,181,26,19,163,184,21,27,28,194,29,118,166,89,59,94,145,128,32,92,33,38,34,37,36,35,31,41,30,10,3])).
% 0.22/0.71 cnf(210,plain,
% 0.22/0.71 (P2(f5(x2101),x2101,a3)),
% 0.22/0.71 inference(rename_variables,[],[26])).
% 0.22/0.71 cnf(219,plain,
% 0.22/0.71 (~P1(a3,f6(a7,a8),f6(a7,a2))),
% 0.22/0.71 inference(scs_inference,[],[16,25,183,188,192,42,22,168,176,182,189,193,23,177,24,175,181,26,187,210,19,163,184,201,21,178,27,28,194,29,118,166,206,89,160,59,94,145,128,32,92,33,38,34,37,36,35,31,41,30,10,3,40,39,11])).
% 0.22/0.71 cnf(220,plain,
% 0.22/0.71 (E(f6(x2201,a2),x2201)),
% 0.22/0.71 inference(rename_variables,[],[118])).
% 0.22/0.71 cnf(223,plain,
% 0.22/0.71 (E(f6(x2231,a2),x2231)),
% 0.22/0.71 inference(rename_variables,[],[118])).
% 0.22/0.71 cnf(225,plain,
% 0.22/0.71 (E(f6(x2251,a2),x2251)),
% 0.22/0.71 inference(rename_variables,[],[118])).
% 0.22/0.71 cnf(226,plain,
% 0.22/0.71 (~P1(f6(a3,a2),f6(a7,a8),a7)),
% 0.22/0.71 inference(scs_inference,[],[16,25,183,188,192,42,22,168,176,182,189,193,23,177,24,175,181,26,187,210,19,163,184,201,21,178,27,28,194,29,118,166,206,220,223,225,89,160,59,94,99,145,128,32,92,33,38,34,37,36,35,31,41,30,10,3,40,39,11,2,12,13,9])).
% 0.22/0.71 cnf(227,plain,
% 0.22/0.71 (E(f6(x2271,a2),x2271)),
% 0.22/0.71 inference(rename_variables,[],[118])).
% 0.22/0.71 cnf(228,plain,
% 0.22/0.71 (~P2(a8,a2,f6(a7,a2))),
% 0.22/0.71 inference(scs_inference,[],[16,25,183,188,192,42,22,168,176,182,189,193,23,177,24,175,181,26,187,210,19,163,184,201,21,178,27,28,194,29,118,166,206,220,223,225,227,89,160,59,94,99,145,128,32,92,33,38,34,37,36,35,31,41,30,10,3,40,39,11,2,12,13,9,14])).
% 0.22/0.71 cnf(231,plain,
% 0.22/0.71 (P1(x2311,a3,x2311)),
% 0.22/0.71 inference(rename_variables,[],[19])).
% 0.22/0.71 cnf(232,plain,
% 0.22/0.71 (P1(f5(x2321),x2321,a2)),
% 0.22/0.71 inference(rename_variables,[],[25])).
% 0.22/0.71 cnf(235,plain,
% 0.22/0.71 (P2(x2351,a2,x2351)),
% 0.22/0.71 inference(rename_variables,[],[20])).
% 0.22/0.71 cnf(236,plain,
% 0.22/0.71 (P2(x2361,x2362,f6(x2361,x2362))),
% 0.22/0.71 inference(rename_variables,[],[28])).
% 0.22/0.71 cnf(239,plain,
% 0.22/0.71 (P2(x2391,a2,x2391)),
% 0.22/0.71 inference(rename_variables,[],[20])).
% 0.22/0.71 cnf(240,plain,
% 0.22/0.71 (P1(x2401,f5(x2401),a2)),
% 0.22/0.71 inference(rename_variables,[],[23])).
% 0.22/0.71 cnf(241,plain,
% 0.22/0.71 (P2(x2411,x2412,f6(x2411,x2412))),
% 0.22/0.71 inference(rename_variables,[],[28])).
% 0.22/0.71 cnf(243,plain,
% 0.22/0.71 (~P2(a2,a8,f6(a7,a2))),
% 0.22/0.71 inference(scs_inference,[],[16,25,20,235,23,19,28,236,228,226,32,35,41,31])).
% 0.22/0.71 cnf(245,plain,
% 0.22/0.71 (~E(f6(a8,f6(a2,a2)),a7)),
% 0.22/0.71 inference(scs_inference,[],[16,25,20,235,23,19,28,236,207,228,226,32,35,41,31,92])).
% 0.22/0.71 cnf(246,plain,
% 0.22/0.71 (E(x2461,f6(x2461,f6(a2,a2)))),
% 0.22/0.71 inference(rename_variables,[],[207])).
% 0.22/0.71 cnf(250,plain,
% 0.22/0.71 (P2(x2501,f5(x2501),a3)),
% 0.22/0.71 inference(rename_variables,[],[24])).
% 0.22/0.71 cnf(251,plain,
% 0.22/0.71 (P2(a2,x2511,x2511)),
% 0.22/0.71 inference(rename_variables,[],[22])).
% 0.22/0.71 cnf(254,plain,
% 0.22/0.71 (P2(x2541,a2,x2541)),
% 0.22/0.71 inference(rename_variables,[],[20])).
% 0.22/0.71 cnf(255,plain,
% 0.22/0.71 (P1(x2551,a3,x2551)),
% 0.22/0.71 inference(rename_variables,[],[19])).
% 0.22/0.71 cnf(259,plain,
% 0.22/0.71 (P2(a2,x2591,x2591)),
% 0.22/0.71 inference(rename_variables,[],[22])).
% 0.22/0.71 cnf(260,plain,
% 0.22/0.71 (P1(x2601,x2602,f4(x2601,x2602))),
% 0.22/0.71 inference(rename_variables,[],[27])).
% 0.22/0.71 cnf(261,plain,
% 0.22/0.71 (P1(x2611,x2611,f6(f4(a2,a2),x2611))),
% 0.22/0.71 inference(rename_variables,[],[112])).
% 0.22/0.71 cnf(264,plain,
% 0.22/0.71 (P2(a2,x2641,x2641)),
% 0.22/0.71 inference(rename_variables,[],[22])).
% 0.22/0.71 cnf(268,plain,
% 0.22/0.71 (~P2(a1,a7,f6(a3,a2))),
% 0.22/0.71 inference(scs_inference,[],[16,25,20,235,239,22,251,259,264,23,24,19,231,28,236,241,27,260,196,207,112,261,137,228,219,226,32,35,41,31,92,30,33,38,34,37,36])).
% 0.22/0.71 cnf(273,plain,
% 0.22/0.71 (E(x2731,f6(x2731,a2))),
% 0.22/0.71 inference(rename_variables,[],[42])).
% 0.22/0.71 cnf(275,plain,
% 0.22/0.71 (E(x2751,f6(x2751,f6(a2,a2)))),
% 0.22/0.71 inference(rename_variables,[],[207])).
% 0.22/0.71 cnf(277,plain,
% 0.22/0.71 (P1(x2771,a3,x2771)),
% 0.22/0.71 inference(rename_variables,[],[19])).
% 0.22/0.71 cnf(282,plain,
% 0.22/0.71 (E(x2821,f6(x2821,a2))),
% 0.22/0.71 inference(rename_variables,[],[42])).
% 0.22/0.71 cnf(284,plain,
% 0.22/0.71 (E(x2841,f6(x2841,a2))),
% 0.22/0.71 inference(rename_variables,[],[42])).
% 0.22/0.71 cnf(286,plain,
% 0.22/0.71 (E(x2861,f6(x2861,a2))),
% 0.22/0.71 inference(rename_variables,[],[42])).
% 0.22/0.71 cnf(287,plain,
% 0.22/0.71 (E(f6(x2871,f6(a2,a2)),x2871)),
% 0.22/0.71 inference(scs_inference,[],[16,25,42,273,282,284,20,235,239,254,22,251,259,264,23,240,24,250,19,231,255,28,236,241,27,260,196,207,246,275,112,261,82,137,228,219,226,32,35,41,31,92,30,33,38,34,37,36,10,11,40,12,3,13,2])).
% 0.22/0.71 cnf(290,plain,
% 0.22/0.71 (~P1(x2901,a3,a8)+~P2(x2901,f5(a3),f6(a7,a2))),
% 0.22/0.71 inference(scs_inference,[],[16,25,232,42,273,282,284,286,20,235,239,254,22,251,259,264,23,240,24,250,19,231,255,277,28,236,241,27,260,196,207,246,275,112,261,82,137,228,219,226,32,35,41,31,92,30,33,38,34,37,36,10,11,40,12,3,13,2,9,14,39])).
% 0.22/0.71 cnf(295,plain,
% 0.22/0.71 (P1(x2951,a3,x2951)),
% 0.22/0.71 inference(rename_variables,[],[19])).
% 0.22/0.71 cnf(298,plain,
% 0.22/0.71 (P1(f5(x2981),x2981,a2)),
% 0.22/0.71 inference(rename_variables,[],[25])).
% 0.22/0.71 cnf(300,plain,
% 0.22/0.71 (P2(f5(x3001),x3001,a3)),
% 0.22/0.71 inference(rename_variables,[],[26])).
% 0.22/0.71 cnf(301,plain,
% 0.22/0.71 (P2(x3011,x3012,f6(x3011,x3012))),
% 0.22/0.71 inference(rename_variables,[],[28])).
% 0.22/0.71 cnf(304,plain,
% 0.22/0.71 (P1(x3041,x3042,f4(x3041,x3042))),
% 0.22/0.71 inference(rename_variables,[],[27])).
% 0.22/0.71 cnf(307,plain,
% 0.22/0.71 (P1(f5(x3071),x3071,a2)),
% 0.22/0.71 inference(rename_variables,[],[25])).
% 0.22/0.71 cnf(308,plain,
% 0.22/0.71 (P1(a3,x3081,x3081)),
% 0.22/0.71 inference(rename_variables,[],[21])).
% 0.22/0.71 cnf(312,plain,
% 0.22/0.71 (P1(a3,x3121,x3121)),
% 0.22/0.71 inference(rename_variables,[],[21])).
% 0.22/0.71 cnf(313,plain,
% 0.22/0.71 (P2(x3131,x3132,f6(x3131,x3132))),
% 0.22/0.71 inference(rename_variables,[],[28])).
% 0.22/0.71 cnf(316,plain,
% 0.22/0.71 (P1(a3,x3161,x3161)),
% 0.22/0.71 inference(rename_variables,[],[21])).
% 0.22/0.71 cnf(333,plain,
% 0.22/0.71 (P1(f5(x3331),x3331,a2)),
% 0.22/0.71 inference(rename_variables,[],[25])).
% 0.22/0.71 cnf(339,plain,
% 0.22/0.71 (P1(f5(x3391),x3391,a2)),
% 0.22/0.71 inference(rename_variables,[],[25])).
% 0.22/0.71 cnf(343,plain,
% 0.22/0.71 (E(x3431,f6(x3431,a2))),
% 0.22/0.71 inference(rename_variables,[],[42])).
% 0.22/0.71 cnf(346,plain,
% 0.22/0.71 (E(x3461,f6(x3461,a2))),
% 0.22/0.71 inference(rename_variables,[],[42])).
% 0.22/0.71 cnf(349,plain,
% 0.22/0.71 (E(x3491,f6(x3491,a2))),
% 0.22/0.71 inference(rename_variables,[],[42])).
% 0.22/0.71 cnf(351,plain,
% 0.22/0.71 (E(x3511,f6(x3511,a2))),
% 0.22/0.71 inference(rename_variables,[],[42])).
% 0.22/0.71 cnf(352,plain,
% 0.22/0.71 ($false),
% 0.22/0.71 inference(scs_inference,[],[17,44,25,298,307,333,339,26,300,42,343,346,349,351,20,21,308,312,316,22,24,19,295,28,301,313,27,304,18,287,186,245,243,268,290,35,32,38,36,41,31,30,33,39,10,92,40,12,11,3,2,13,9,14]),
% 0.22/0.71 ['proof']).
% 0.22/0.71 % SZS output end Proof
% 0.22/0.71 % Total time :0.100000s
%------------------------------------------------------------------------------