TSTP Solution File: GRP012-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP012-2 : 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 : n025.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 00:10:33 EDT 2023
% Result : Unsatisfiable 0.19s 0.79s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP012-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n025.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 : Tue Aug 29 02:01:55 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.19/0.79 %-------------------------------------------
% 0.19/0.79 % File :CSE---1.6
% 0.19/0.79 % Problem :theBenchmark
% 0.19/0.79 % Transform :cnf
% 0.19/0.79 % Format :tptp:raw
% 0.19/0.79 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.79
% 0.19/0.79 % Result :Theorem 0.190000s
% 0.19/0.79 % Output :CNFRefutation 0.190000s
% 0.19/0.79 %-------------------------------------------
% 0.19/0.79 %--------------------------------------------------------------------------
% 0.19/0.79 % File : GRP012-2 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.79 % Domain : Group Theory
% 0.19/0.79 % Problem : Inverse of products = Product of inverses
% 0.19/0.79 % Version : [MOW76] axioms.
% 0.19/0.79 % Theorem formulation : Expressed as a.b = c and b^-1.a^-1
% 0.19/0.79 % = d, then c^-1 = d
% 0.19/0.79 % English : The inverse of products equals the product of the inverse,
% 0.19/0.79 % in opposite order.
% 0.19/0.79
% 0.19/0.79 % Refs : [LS74] Lawrence & Starkey (1974), Experimental tests of resol
% 0.19/0.79 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 0.19/0.79 % Source : [SPRFN]
% 0.19/0.79 % Names : ls36 [LS74]
% 0.19/0.79 % : ls36 [WM76]
% 0.19/0.79
% 0.19/0.79 % Status : Unsatisfiable
% 0.19/0.79 % Rating : 0.00 v6.0.0, 0.22 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.25 v5.1.0, 0.14 v5.0.0, 0.00 v2.0.0
% 0.19/0.79 % Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 6 RR)
% 0.19/0.79 % Number of literals : 19 ( 2 equ; 9 neg)
% 0.19/0.79 % Maximal clause size : 4 ( 1 avg)
% 0.19/0.79 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.79 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 0.19/0.79 % Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% 0.19/0.79 % Number of variables : 22 ( 0 sgn)
% 0.19/0.79 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.19/0.79
% 0.19/0.79 % Comments :
% 0.19/0.79 %--------------------------------------------------------------------------
% 0.19/0.79 %----Include group theory axioms
% 0.19/0.79 include('Axioms/GRP003-0.ax').
% 0.19/0.79 %--------------------------------------------------------------------------
% 0.19/0.79 cnf(a_multiply_b_is_c,hypothesis,
% 0.19/0.79 product(a,b,c) ).
% 0.19/0.79
% 0.19/0.79 cnf(inverse_b_multiply_inverse_a_is_d,hypothesis,
% 0.19/0.79 product(inverse(b),inverse(a),d) ).
% 0.19/0.79
% 0.19/0.79 cnf(prove_c_inverse_equals_d,negated_conjecture,
% 0.19/0.79 inverse(c) != d ).
% 0.19/0.79
% 0.19/0.79 %--------------------------------------------------------------------------
% 0.19/0.79 %-------------------------------------------
% 0.19/0.79 % Proof found
% 0.19/0.79 % SZS status Theorem for theBenchmark
% 0.19/0.79 % SZS output start Proof
% 0.19/0.79 %ClaNum:20(EqnAxiom:9)
% 0.19/0.79 %VarNum:44(SingletonVarNum:22)
% 0.19/0.79 %MaxLitNum:4
% 0.19/0.79 %MaxfuncDepth:1
% 0.19/0.79 %SharedTerms:11
% 0.19/0.79 %goalClause: 17
% 0.19/0.79 %singleGoalClaCount:1
% 0.19/0.79 [10]P1(a1,a2,a3)
% 0.19/0.79 [15]P1(f6(a2),f6(a1),a5)
% 0.19/0.79 [17]~E(f6(a3),a5)
% 0.19/0.79 [11]P1(x111,a4,x111)
% 0.19/0.79 [12]P1(a4,x121,x121)
% 0.19/0.79 [13]P1(x131,f6(x131),a4)
% 0.19/0.79 [14]P1(f6(x141),x141,a4)
% 0.19/0.79 [16]P1(x161,x162,f7(x161,x162))
% 0.19/0.79 [18]~P1(x183,x184,x181)+E(x181,x182)+~P1(x183,x184,x182)
% 0.19/0.79 [19]~P1(x196,x194,x191)+P1(x191,x192,x193)+~P1(x194,x192,x195)+~P1(x196,x195,x193)
% 0.19/0.79 [20]~P1(x201,x206,x204)+P1(x201,x202,x203)+~P1(x204,x205,x203)+~P1(x206,x205,x202)
% 0.19/0.79 %EqnAxiom
% 0.19/0.79 [1]E(x11,x11)
% 0.19/0.79 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.79 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 0.19/0.79 [5]~E(x51,x52)+E(f7(x51,x53),f7(x52,x53))
% 0.19/0.79 [6]~E(x61,x62)+E(f7(x63,x61),f7(x63,x62))
% 0.19/0.79 [7]P1(x72,x73,x74)+~E(x71,x72)+~P1(x71,x73,x74)
% 0.19/0.79 [8]P1(x83,x82,x84)+~E(x81,x82)+~P1(x83,x81,x84)
% 0.19/0.79 [9]P1(x93,x94,x92)+~E(x91,x92)+~P1(x93,x94,x91)
% 0.19/0.79
% 0.19/0.79 %-------------------------------------------
% 0.19/0.80 cnf(21,plain,
% 0.19/0.80 (E(x211,f7(x211,a4))),
% 0.19/0.80 inference(scs_inference,[],[11,16,18])).
% 0.19/0.80 cnf(22,plain,
% 0.19/0.80 (P1(x221,x222,f7(x221,x222))),
% 0.19/0.80 inference(rename_variables,[],[16])).
% 0.19/0.80 cnf(23,plain,
% 0.19/0.80 (P1(x231,f7(a4,a4),x231)),
% 0.19/0.80 inference(scs_inference,[],[11,16,22,18,20])).
% 0.19/0.80 cnf(24,plain,
% 0.19/0.80 (P1(x241,x242,f7(x241,x242))),
% 0.19/0.80 inference(rename_variables,[],[16])).
% 0.19/0.80 cnf(26,plain,
% 0.19/0.80 (~E(a5,f6(a3))),
% 0.19/0.80 inference(scs_inference,[],[17,11,16,22,18,20,2])).
% 0.19/0.80 cnf(27,plain,
% 0.19/0.80 (E(f7(x271,x272),f7(x271,f7(x272,a4)))),
% 0.19/0.80 inference(scs_inference,[],[17,11,16,22,18,20,2,6])).
% 0.19/0.80 cnf(28,plain,
% 0.19/0.80 (E(f7(x281,x282),f7(f7(x281,a4),x282))),
% 0.19/0.80 inference(scs_inference,[],[17,11,16,22,18,20,2,6,5])).
% 0.19/0.80 cnf(29,plain,
% 0.19/0.80 (E(f6(x291),f6(f7(x291,a4)))),
% 0.19/0.80 inference(scs_inference,[],[17,11,16,22,18,20,2,6,5,4])).
% 0.19/0.80 cnf(30,plain,
% 0.19/0.80 (~E(f7(f6(a3),a4),a5)),
% 0.19/0.80 inference(scs_inference,[],[17,11,16,22,18,20,2,6,5,4,3])).
% 0.19/0.80 cnf(31,plain,
% 0.19/0.80 (~P1(a1,f7(a2,x311),x312)+P1(a3,x311,x312)),
% 0.19/0.80 inference(scs_inference,[],[17,11,10,16,22,24,18,20,2,6,5,4,3,19])).
% 0.19/0.80 cnf(36,plain,
% 0.19/0.80 (P1(f7(f6(a3),a4),a4,f6(a3))),
% 0.19/0.80 inference(scs_inference,[],[17,11,12,10,16,22,24,18,20,2,6,5,4,3,19,8,7])).
% 0.19/0.80 cnf(38,plain,
% 0.19/0.80 (P1(a3,x381,f7(a1,f7(a2,x381)))),
% 0.19/0.80 inference(scs_inference,[],[16,31])).
% 0.19/0.80 cnf(41,plain,
% 0.19/0.80 (P1(f6(a2),f6(a1),f7(a5,a4))),
% 0.19/0.80 inference(scs_inference,[],[15,16,21,31,9])).
% 0.19/0.80 cnf(43,plain,
% 0.19/0.80 (~P1(f6(a2),f6(a1),f6(a3))),
% 0.19/0.80 inference(scs_inference,[],[15,16,21,26,31,9,18])).
% 0.19/0.80 cnf(45,plain,
% 0.19/0.80 (~P1(a4,a5,f6(a3))),
% 0.19/0.80 inference(scs_inference,[],[15,12,16,21,26,31,9,18,19])).
% 0.19/0.80 cnf(50,plain,
% 0.19/0.80 (E(f7(x501,x502),f7(f7(x501,a4),f7(x502,a4)))),
% 0.19/0.80 inference(scs_inference,[],[15,12,16,27,28,29,21,26,31,9,18,19,8,3])).
% 0.19/0.80 cnf(51,plain,
% 0.19/0.80 (E(f7(x511,x512),f7(x511,f7(x512,a4)))),
% 0.19/0.80 inference(rename_variables,[],[27])).
% 0.19/0.80 cnf(53,plain,
% 0.19/0.80 (~P1(a5,a4,f6(a3))),
% 0.19/0.80 inference(scs_inference,[],[15,12,16,11,27,28,29,21,26,31,9,18,19,8,3,20])).
% 0.19/0.80 cnf(56,plain,
% 0.19/0.80 (E(f7(x561,f7(x562,a4)),f7(x561,x562))),
% 0.19/0.80 inference(scs_inference,[],[15,12,16,11,27,51,28,29,21,26,31,9,18,19,8,3,20,2])).
% 0.19/0.80 cnf(61,plain,
% 0.19/0.80 (P1(x611,x612,f7(x611,x612))),
% 0.19/0.80 inference(rename_variables,[],[16])).
% 0.19/0.80 cnf(63,plain,
% 0.19/0.80 (~E(f7(f6(a2),f6(a1)),f6(a3))),
% 0.19/0.80 inference(scs_inference,[],[10,14,16,61,43,19,9])).
% 0.19/0.80 cnf(65,plain,
% 0.19/0.80 (~P1(a4,a5,f7(f6(a3),a4))),
% 0.19/0.80 inference(scs_inference,[],[10,14,12,16,61,43,30,19,9,18])).
% 0.19/0.80 cnf(66,plain,
% 0.19/0.80 (P1(a4,x661,x661)),
% 0.19/0.80 inference(rename_variables,[],[12])).
% 0.19/0.80 cnf(72,plain,
% 0.19/0.80 (~E(a5,f7(f6(a3),a4))),
% 0.19/0.80 inference(scs_inference,[],[10,13,14,12,66,16,61,43,30,19,9,18,20,2])).
% 0.19/0.80 cnf(73,plain,
% 0.19/0.80 (~E(a5,f7(f6(a3),f7(a4,a4)))),
% 0.19/0.80 inference(scs_inference,[],[10,13,14,12,66,16,61,56,43,30,19,9,18,20,2,3])).
% 0.19/0.80 cnf(75,plain,
% 0.19/0.80 (~P1(f6(a2),x751,f6(a3))+~E(x751,f6(a1))),
% 0.19/0.80 inference(scs_inference,[],[10,13,14,12,66,16,61,56,43,30,19,9,18,20,2,3,8])).
% 0.19/0.80 cnf(80,plain,
% 0.19/0.80 (~P1(f6(a4),a5,f7(f6(a3),a4))),
% 0.19/0.80 inference(scs_inference,[],[13,12,65,19])).
% 0.19/0.80 cnf(81,plain,
% 0.19/0.80 (P1(a4,x811,x811)),
% 0.19/0.80 inference(rename_variables,[],[12])).
% 0.19/0.80 cnf(82,plain,
% 0.19/0.80 (P1(x821,f6(x821),a4)),
% 0.19/0.80 inference(rename_variables,[],[13])).
% 0.19/0.80 cnf(84,plain,
% 0.19/0.80 (P1(f6(a1),a3,a2)),
% 0.19/0.80 inference(scs_inference,[],[10,13,14,12,81,65,19,20])).
% 0.19/0.80 cnf(85,plain,
% 0.19/0.80 (P1(a4,x851,x851)),
% 0.19/0.80 inference(rename_variables,[],[12])).
% 0.19/0.80 cnf(88,plain,
% 0.19/0.80 (E(a4,f6(a4))),
% 0.19/0.80 inference(scs_inference,[],[10,13,82,14,12,81,85,65,19,20,18])).
% 0.19/0.80 cnf(93,plain,
% 0.19/0.80 (E(x931,f7(x931,a4))),
% 0.19/0.80 inference(rename_variables,[],[21])).
% 0.19/0.80 cnf(95,plain,
% 0.19/0.80 (E(x951,f7(x951,a4))),
% 0.19/0.80 inference(rename_variables,[],[21])).
% 0.19/0.80 cnf(96,plain,
% 0.19/0.80 (E(f7(x961,a4),x961)),
% 0.19/0.80 inference(scs_inference,[],[10,21,93,95,13,82,14,12,81,85,65,19,20,18,9,8,2])).
% 0.19/0.80 cnf(98,plain,
% 0.19/0.80 (E(x981,f7(x981,a4))),
% 0.19/0.80 inference(rename_variables,[],[21])).
% 0.19/0.80 cnf(99,plain,
% 0.19/0.80 (~E(f7(a5,a4),f7(f6(a3),a4))),
% 0.19/0.80 inference(scs_inference,[],[10,21,93,95,98,13,82,14,12,81,85,72,65,19,20,18,9,8,2,7,3])).
% 0.19/0.80 cnf(102,plain,
% 0.19/0.80 (E(f7(x1021,a4),x1021)),
% 0.19/0.80 inference(rename_variables,[],[96])).
% 0.19/0.80 cnf(103,plain,
% 0.19/0.80 (~P1(f6(x1031),f7(x1031,a5),f6(a3))),
% 0.19/0.80 inference(scs_inference,[],[14,16,96,45,75,19])).
% 0.19/0.80 cnf(107,plain,
% 0.19/0.80 (~P1(a5,f7(a4,a4),f6(a3))),
% 0.19/0.80 inference(scs_inference,[],[11,23,14,16,96,45,53,75,19,20])).
% 0.19/0.80 cnf(109,plain,
% 0.19/0.80 (P1(x1091,a4,x1091)),
% 0.19/0.80 inference(rename_variables,[],[11])).
% 0.19/0.80 cnf(111,plain,
% 0.19/0.80 (~P1(f7(a5,a4),a4,f7(f6(a3),a4))),
% 0.19/0.80 inference(scs_inference,[],[11,109,23,14,16,99,96,45,53,75,19,20,18])).
% 0.19/0.80 cnf(112,plain,
% 0.19/0.80 (P1(x1121,a4,x1121)),
% 0.19/0.80 inference(rename_variables,[],[11])).
% 0.19/0.80 cnf(114,plain,
% 0.19/0.80 (P1(x1141,f6(x1141),f7(a4,a4))),
% 0.19/0.80 inference(scs_inference,[],[11,109,23,21,13,14,16,99,96,45,53,75,19,20,18,9])).
% 0.19/0.80 cnf(115,plain,
% 0.19/0.80 (E(x1151,f7(x1151,a4))),
% 0.19/0.80 inference(rename_variables,[],[21])).
% 0.19/0.80 cnf(116,plain,
% 0.19/0.80 (~E(a4,f7(a3,a5))),
% 0.19/0.80 inference(scs_inference,[],[11,109,112,23,21,13,14,16,99,96,45,53,75,19,20,18,9,8])).
% 0.19/0.80 cnf(118,plain,
% 0.19/0.80 (P1(f7(x1181,a4),f6(x1181),a4)),
% 0.19/0.80 inference(scs_inference,[],[11,109,112,23,21,115,13,14,16,99,96,45,53,75,19,20,18,9,8,7])).
% 0.19/0.80 cnf(120,plain,
% 0.19/0.80 (~E(f7(f6(a3),a4),f7(a5,a4))),
% 0.19/0.80 inference(scs_inference,[],[11,109,112,23,21,115,13,14,16,99,96,45,53,75,19,20,18,9,8,7,2])).
% 0.19/0.80 cnf(121,plain,
% 0.19/0.80 (E(x1211,f7(f7(x1211,a4),f7(a4,a4)))),
% 0.19/0.80 inference(scs_inference,[],[11,109,112,23,21,115,13,14,16,50,99,96,45,53,75,19,20,18,9,8,7,2,3])).
% 0.19/0.80 cnf(124,plain,
% 0.19/0.80 (E(f7(x1241,a4),f7(x1241,f6(a4)))),
% 0.19/0.80 inference(scs_inference,[],[11,109,112,23,21,115,13,14,16,50,99,96,88,45,53,75,19,20,18,9,8,7,2,3,6])).
% 0.19/0.80 cnf(125,plain,
% 0.19/0.80 (E(f7(f7(x1251,a4),x1252),f7(x1251,x1252))),
% 0.19/0.80 inference(scs_inference,[],[11,109,112,23,21,115,13,14,16,50,99,96,102,88,45,53,75,19,20,18,9,8,7,2,3,6,5])).
% 0.19/0.80 cnf(126,plain,
% 0.19/0.80 (E(f6(f7(x1261,a4)),f6(x1261))),
% 0.19/0.80 inference(scs_inference,[],[11,109,112,23,21,115,13,14,16,50,99,96,102,88,45,53,75,19,20,18,9,8,7,2,3,6,5,4])).
% 0.19/0.80 cnf(127,plain,
% 0.19/0.80 (~P1(f6(a3),f6(f7(x1271,a5)),f6(x1271))),
% 0.19/0.80 inference(scs_inference,[],[11,14,103,19])).
% 0.19/0.80 cnf(129,plain,
% 0.19/0.80 (P1(x1291,a4,x1291)),
% 0.19/0.80 inference(rename_variables,[],[11])).
% 0.19/0.80 cnf(132,plain,
% 0.19/0.80 (P1(x1321,a4,x1321)),
% 0.19/0.80 inference(rename_variables,[],[11])).
% 0.19/0.80 cnf(134,plain,
% 0.19/0.80 (~P1(a4,a4,f7(a3,a5))),
% 0.19/0.80 inference(scs_inference,[],[11,129,132,14,103,63,19,18,20])).
% 0.19/0.80 cnf(136,plain,
% 0.19/0.80 (~P1(f6(x1361),f7(x1361,a5),f6(a3))),
% 0.19/0.80 inference(rename_variables,[],[103])).
% 0.19/0.80 cnf(138,plain,
% 0.19/0.80 (~P1(f6(x1381),f7(x1381,a5),f6(f7(a3,a4)))),
% 0.19/0.80 inference(scs_inference,[],[11,129,132,14,126,103,136,63,19,18,20,9])).
% 0.19/0.80 cnf(139,plain,
% 0.19/0.80 (E(f6(f7(x1391,a4)),f6(x1391))),
% 0.19/0.80 inference(rename_variables,[],[126])).
% 0.19/0.80 cnf(141,plain,
% 0.19/0.80 (~P1(f6(x1411),f7(x1411,a5),f6(a3))),
% 0.19/0.80 inference(rename_variables,[],[103])).
% 0.19/0.80 cnf(145,plain,
% 0.19/0.80 (E(f7(f7(x1451,a4),f7(a4,a4)),x1451)),
% 0.19/0.80 inference(scs_inference,[],[11,129,132,14,125,121,126,139,103,136,141,63,19,18,20,9,8,7,2])).
% 0.19/0.80 cnf(146,plain,
% 0.19/0.80 (E(x1461,f7(x1461,f6(a4)))),
% 0.19/0.80 inference(scs_inference,[],[11,129,132,21,14,125,121,126,139,124,103,136,141,63,19,18,20,9,8,7,2,3])).
% 0.19/0.80 cnf(149,plain,
% 0.19/0.80 (P1(x1491,x1492,f7(x1491,x1492))),
% 0.19/0.80 inference(rename_variables,[],[16])).
% 0.19/0.80 cnf(150,plain,
% 0.19/0.80 (P1(a4,x1501,x1501)),
% 0.19/0.80 inference(rename_variables,[],[12])).
% 0.19/0.80 cnf(153,plain,
% 0.19/0.80 (E(x1531,f7(a4,x1531))),
% 0.19/0.80 inference(scs_inference,[],[12,150,23,16,149,19,18])).
% 0.19/0.80 cnf(156,plain,
% 0.19/0.80 (~P1(a5,a3,a4)),
% 0.19/0.80 inference(scs_inference,[],[12,150,23,16,149,114,107,19,18,20])).
% 0.19/0.80 cnf(157,plain,
% 0.19/0.80 (P1(a4,x1571,x1571)),
% 0.19/0.80 inference(rename_variables,[],[12])).
% 0.19/0.80 cnf(161,plain,
% 0.19/0.80 (E(x1611,f7(x1611,a4))),
% 0.19/0.80 inference(rename_variables,[],[21])).
% 0.19/0.80 cnf(163,plain,
% 0.19/0.80 (E(x1631,f7(x1631,a4))),
% 0.19/0.80 inference(rename_variables,[],[21])).
% 0.19/0.80 cnf(166,plain,
% 0.19/0.80 (E(x1661,f7(x1661,a4))),
% 0.19/0.80 inference(rename_variables,[],[21])).
% 0.19/0.80 cnf(167,plain,
% 0.19/0.80 (P1(f7(a4,a4),x1671,x1671)),
% 0.19/0.80 inference(scs_inference,[],[12,150,157,26,23,21,161,163,166,16,149,114,107,73,19,18,20,9,8,2,3,7])).
% 0.19/0.80 cnf(169,plain,
% 0.19/0.80 (~P1(a5,a3,f7(a4,a4))),
% 0.19/0.80 inference(scs_inference,[],[12,23,156,19])).
% 0.19/0.80 cnf(170,plain,
% 0.19/0.80 (P1(x1701,f7(a4,a4),x1701)),
% 0.19/0.80 inference(rename_variables,[],[23])).
% 0.19/0.80 cnf(171,plain,
% 0.19/0.80 (P1(a4,x1711,x1711)),
% 0.19/0.80 inference(rename_variables,[],[12])).
% 0.19/0.80 cnf(173,plain,
% 0.19/0.80 (~P1(x1731,f6(x1731),f7(a3,a5))),
% 0.19/0.80 inference(scs_inference,[],[12,23,13,116,156,19,18])).
% 0.19/0.80 cnf(177,plain,
% 0.19/0.80 (P1(a4,x1771,x1771)),
% 0.19/0.80 inference(rename_variables,[],[12])).
% 0.19/0.80 cnf(178,plain,
% 0.19/0.81 (P1(f6(x1781),x1781,a4)),
% 0.19/0.81 inference(rename_variables,[],[14])).
% 0.19/0.81 cnf(180,plain,
% 0.19/0.81 (P1(f6(x1801),x1801,f7(a4,a4))),
% 0.19/0.81 inference(scs_inference,[],[12,171,23,170,13,14,178,21,116,156,19,18,20,9])).
% 0.19/0.81 cnf(181,plain,
% 0.19/0.81 (E(x1811,f7(x1811,a4))),
% 0.19/0.81 inference(rename_variables,[],[21])).
% 0.19/0.81 cnf(184,plain,
% 0.19/0.81 (E(x1841,f7(f7(x1841,a4),f6(a4)))),
% 0.19/0.81 inference(scs_inference,[],[12,171,177,23,170,13,14,178,21,181,146,116,134,156,19,18,20,9,8,3])).
% 0.19/0.81 cnf(185,plain,
% 0.19/0.81 (E(x1851,f7(x1851,f6(a4)))),
% 0.19/0.81 inference(rename_variables,[],[146])).
% 0.19/0.81 cnf(186,plain,
% 0.19/0.81 (~E(f6(a3),f7(a5,a4))),
% 0.19/0.81 inference(scs_inference,[],[12,171,177,23,170,13,14,178,21,181,16,146,111,116,134,156,19,18,20,9,8,3,7])).
% 0.19/0.81 cnf(188,plain,
% 0.19/0.81 (E(f7(x1881,f6(a4)),x1881)),
% 0.19/0.81 inference(scs_inference,[],[12,171,177,23,170,13,14,178,21,181,16,146,185,111,116,134,156,19,18,20,9,8,3,7,2])).
% 0.19/0.81 cnf(189,plain,
% 0.19/0.81 (~P1(a1,f7(a2,f6(a3)),f7(a3,a5))),
% 0.19/0.81 inference(scs_inference,[],[12,171,177,23,170,13,14,178,21,181,16,146,185,111,116,134,156,19,18,20,9,8,3,7,2,31])).
% 0.19/0.81 cnf(192,plain,
% 0.19/0.81 (P1(x1921,f6(x1921),a4)),
% 0.19/0.81 inference(rename_variables,[],[13])).
% 0.19/0.81 cnf(193,plain,
% 0.19/0.81 (~P1(x1931,f6(x1931),f7(a3,a5))),
% 0.19/0.81 inference(rename_variables,[],[173])).
% 0.19/0.81 cnf(196,plain,
% 0.19/0.81 (~P1(f6(a3),f7(a4,a4),a5)),
% 0.19/0.81 inference(scs_inference,[],[13,26,23,14,173,19,18])).
% 0.19/0.81 cnf(197,plain,
% 0.19/0.81 (P1(x1971,f7(a4,a4),x1971)),
% 0.19/0.81 inference(rename_variables,[],[23])).
% 0.19/0.81 cnf(199,plain,
% 0.19/0.81 (~P1(a4,f7(a4,a4),f7(a3,a5))),
% 0.19/0.81 inference(scs_inference,[],[13,192,26,23,197,14,173,193,19,18,20])).
% 0.19/0.81 cnf(205,plain,
% 0.19/0.81 (~P1(a5,f7(f7(a3,a4),f7(a4,a4)),f7(a4,a4))),
% 0.19/0.81 inference(scs_inference,[],[13,192,26,23,197,14,21,145,173,193,80,169,19,18,20,9,8])).
% 0.19/0.81 cnf(206,plain,
% 0.19/0.81 (E(f7(f7(x2061,a4),f7(a4,a4)),x2061)),
% 0.19/0.81 inference(rename_variables,[],[145])).
% 0.19/0.81 cnf(207,plain,
% 0.19/0.81 (~P1(f7(f7(a5,a4),f7(a4,a4)),a3,f7(a4,a4))),
% 0.19/0.81 inference(scs_inference,[],[13,192,26,23,197,14,21,145,206,173,193,80,169,19,18,20,9,8,7])).
% 0.19/0.81 cnf(210,plain,
% 0.19/0.81 (E(f7(x2101,f6(a4)),x2101)),
% 0.19/0.81 inference(rename_variables,[],[188])).
% 0.19/0.81 cnf(212,plain,
% 0.19/0.81 (~P1(f6(a2),f7(f6(a1),f6(a4)),f6(a3))),
% 0.19/0.81 inference(scs_inference,[],[13,192,26,23,197,14,21,145,206,188,210,173,193,80,169,63,19,18,20,9,8,7,3,2,75])).
% 0.19/0.81 cnf(214,plain,
% 0.19/0.81 (E(f7(x2141,x2142),f7(f7(a4,x2141),x2142))),
% 0.19/0.81 inference(scs_inference,[],[13,192,26,23,197,14,21,145,206,188,210,173,193,153,80,169,63,19,18,20,9,8,7,3,2,75,5])).
% 0.19/0.81 cnf(215,plain,
% 0.19/0.81 (E(f6(x2151),f6(f7(a4,x2151)))),
% 0.19/0.81 inference(scs_inference,[],[13,192,26,23,197,14,21,145,206,188,210,173,193,153,80,169,63,19,18,20,9,8,7,3,2,75,5,4])).
% 0.19/0.81 cnf(216,plain,
% 0.19/0.81 (E(f7(x2161,x2162),f7(x2161,f7(a4,x2162)))),
% 0.19/0.81 inference(scs_inference,[],[13,192,26,23,197,14,21,145,206,188,210,173,193,153,80,169,63,19,18,20,9,8,7,3,2,75,5,4,6])).
% 0.19/0.81 cnf(219,plain,
% 0.19/0.81 (P1(x2191,f6(x2191),a4)),
% 0.19/0.81 inference(rename_variables,[],[13])).
% 0.19/0.81 cnf(224,plain,
% 0.19/0.81 (~P1(f7(a4,a4),f7(a4,a4),f7(f7(a3,a4),a5))),
% 0.19/0.81 inference(scs_inference,[],[13,219,23,16,138,36,127,19,18,20])).
% 0.19/0.81 cnf(225,plain,
% 0.19/0.81 (P1(x2251,f7(a4,a4),x2251)),
% 0.19/0.81 inference(rename_variables,[],[23])).
% 0.19/0.81 cnf(229,plain,
% 0.19/0.81 (P1(x2291,f7(a4,a4),x2291)),
% 0.19/0.81 inference(rename_variables,[],[23])).
% 0.19/0.81 cnf(231,plain,
% 0.19/0.81 (E(f7(x2311,x2312),f7(x2311,f7(x2312,a4)))),
% 0.19/0.81 inference(rename_variables,[],[27])).
% 0.19/0.81 cnf(236,plain,
% 0.19/0.81 (E(f7(f7(a4,x2361),x2362),f7(x2361,x2362))),
% 0.19/0.81 inference(scs_inference,[],[13,219,27,231,23,225,229,16,214,120,184,138,36,127,19,18,20,9,8,3,7,2])).
% 0.19/0.81 cnf(239,plain,
% 0.19/0.81 (P1(f6(x2391),x2391,a4)),
% 0.19/0.81 inference(rename_variables,[],[14])).
% 0.19/0.81 cnf(240,plain,
% 0.19/0.81 (P1(x2401,x2402,f7(x2401,x2402))),
% 0.19/0.81 inference(rename_variables,[],[16])).
% 0.19/0.81 cnf(242,plain,
% 0.19/0.81 (~P1(f6(x2421),x2421,f7(a3,a5))),
% 0.19/0.81 inference(scs_inference,[],[14,239,16,116,19,18])).
% 0.19/0.81 cnf(244,plain,
% 0.19/0.81 (~P1(a5,f7(a3,a4),f7(a4,a4))),
% 0.19/0.81 inference(scs_inference,[],[14,239,23,16,240,205,116,19,18,20])).
% 0.19/0.81 cnf(245,plain,
% 0.19/0.81 (P1(x2451,f7(a4,a4),x2451)),
% 0.19/0.81 inference(rename_variables,[],[23])).
% 0.19/0.81 cnf(248,plain,
% 0.19/0.81 (~E(f7(a4,a4),f7(f7(a3,a4),a5))),
% 0.19/0.81 inference(scs_inference,[],[14,239,23,245,16,240,224,205,116,19,18,20,9])).
% 0.19/0.81 cnf(249,plain,
% 0.19/0.81 (P1(x2491,f7(a4,a4),x2491)),
% 0.19/0.81 inference(rename_variables,[],[23])).
% 0.19/0.81 cnf(252,plain,
% 0.19/0.81 (~E(f7(f7(a3,a4),a5),f7(a4,a4))),
% 0.19/0.81 inference(scs_inference,[],[14,239,23,245,249,15,21,16,240,224,205,116,19,18,20,9,8,7])).
% 0.19/0.81 cnf(259,plain,
% 0.19/0.81 (P1(x2591,f7(a4,a4),x2591)),
% 0.19/0.81 inference(rename_variables,[],[23])).
% 0.19/0.81 cnf(260,plain,
% 0.19/0.81 (P1(f6(x2601),x2601,a4)),
% 0.19/0.81 inference(rename_variables,[],[14])).
% 0.19/0.81 cnf(270,plain,
% 0.19/0.81 (E(f7(f7(a4,x2701),x2702),f7(x2701,x2702))),
% 0.19/0.81 inference(rename_variables,[],[236])).
% 0.19/0.81 cnf(274,plain,
% 0.19/0.81 (~E(f7(a4,a4),f7(a3,a5))),
% 0.19/0.81 inference(scs_inference,[],[14,260,28,23,259,15,16,248,216,236,270,242,189,45,19,18,20,9,8,2,3])).
% 0.19/0.81 cnf(276,plain,
% 0.19/0.81 (~P1(f6(x2761),f7(a4,x2761),f7(a3,a5))),
% 0.19/0.81 inference(scs_inference,[],[14,260,28,23,259,15,16,248,216,236,270,242,215,189,45,19,18,20,9,8,2,3,7])).
% 0.19/0.81 cnf(281,plain,
% 0.19/0.81 (P1(x2811,x2812,f7(x2811,x2812))),
% 0.19/0.81 inference(rename_variables,[],[16])).
% 0.19/0.81 cnf(284,plain,
% 0.19/0.81 (P1(x2841,x2842,f7(x2841,x2842))),
% 0.19/0.81 inference(rename_variables,[],[16])).
% 0.19/0.81 cnf(290,plain,
% 0.19/0.81 (P1(x2901,f7(a4,a4),x2901)),
% 0.19/0.81 inference(rename_variables,[],[23])).
% 0.19/0.81 cnf(293,plain,
% 0.19/0.81 (~E(f7(f7(a3,a4),f7(a5,a4)),f7(a4,a4))),
% 0.19/0.81 inference(scs_inference,[],[15,29,27,28,23,290,16,281,284,252,244,212,19,18,20,9,8,3])).
% 0.19/0.81 cnf(294,plain,
% 0.19/0.81 (E(f7(x2941,x2942),f7(x2941,f7(x2942,a4)))),
% 0.19/0.81 inference(rename_variables,[],[27])).
% 0.19/0.81 cnf(300,plain,
% 0.19/0.81 (E(f6(a4),f6(f6(a4)))),
% 0.19/0.81 inference(scs_inference,[],[15,29,27,294,28,23,290,16,281,284,252,274,244,212,126,88,19,18,20,9,8,3,7,2,75,4])).
% 0.19/0.81 cnf(302,plain,
% 0.19/0.81 (~P1(a3,a5,f6(a4))),
% 0.19/0.81 inference(scs_inference,[],[23,16,276,19])).
% 0.19/0.81 cnf(305,plain,
% 0.19/0.81 (P1(x3051,x3052,f7(x3051,x3052))),
% 0.19/0.81 inference(rename_variables,[],[16])).
% 0.19/0.81 cnf(307,plain,
% 0.19/0.81 (~P1(f7(a3,a4),f7(a5,a4),f7(a4,a4))),
% 0.19/0.81 inference(scs_inference,[],[23,16,305,293,276,19,18])).
% 0.19/0.81 cnf(324,plain,
% 0.19/0.81 (P1(x3241,f6(a4),f7(x3241,a4))),
% 0.19/0.81 inference(scs_inference,[],[16,23,118,19])).
% 0.19/0.81 cnf(326,plain,
% 0.19/0.81 (P1(x3261,x3262,f7(x3261,x3262))),
% 0.19/0.81 inference(rename_variables,[],[16])).
% 0.19/0.81 cnf(331,plain,
% 0.19/0.81 (~P1(f7(a3,a4),f7(a5,a4),a4)),
% 0.19/0.81 inference(scs_inference,[],[16,326,30,23,307,118,11,19,18,20])).
% 0.19/0.81 cnf(345,plain,
% 0.19/0.81 (P1(x3451,x3452,f7(x3451,x3452))),
% 0.19/0.81 inference(rename_variables,[],[16])).
% 0.19/0.81 cnf(346,plain,
% 0.19/0.81 (P1(x3461,x3462,f7(x3461,x3462))),
% 0.19/0.81 inference(rename_variables,[],[16])).
% 0.19/0.81 cnf(349,plain,
% 0.19/0.81 (E(f7(x3491,f7(a4,a4)),x3491)),
% 0.19/0.81 inference(scs_inference,[],[16,346,23,173,19,18])).
% 0.19/0.81 cnf(351,plain,
% 0.19/0.81 (P1(x3511,x3512,f7(x3511,x3512))),
% 0.19/0.81 inference(rename_variables,[],[16])).
% 0.19/0.81 cnf(353,plain,
% 0.19/0.81 (P1(x3531,f7(x3531,x3531),f7(f7(x3531,x3531),x3531))),
% 0.19/0.81 inference(scs_inference,[],[16,346,351,345,23,173,19,18,20])).
% 0.19/0.81 cnf(356,plain,
% 0.19/0.81 (P1(x3561,x3562,f7(x3561,x3562))),
% 0.19/0.81 inference(rename_variables,[],[16])).
% 0.19/0.81 cnf(358,plain,
% 0.19/0.81 (P1(x3581,x3582,f7(f7(x3581,a4),x3582))),
% 0.19/0.81 inference(scs_inference,[],[16,346,351,356,345,28,23,173,19,18,20,9])).
% 0.19/0.81 cnf(360,plain,
% 0.19/0.81 (P1(x3601,f7(x3602,a4),f7(x3601,x3602))),
% 0.19/0.81 inference(scs_inference,[],[16,346,351,356,345,28,21,23,173,19,18,20,9,8])).
% 0.19/0.81 cnf(371,plain,
% 0.19/0.81 (P1(x3711,x3712,f7(f7(x3711,a4),x3712))),
% 0.19/0.81 inference(rename_variables,[],[358])).
% 0.19/0.81 cnf(374,plain,
% 0.19/0.81 (P1(x3741,f7(a4,a4),x3741)),
% 0.19/0.81 inference(rename_variables,[],[23])).
% 0.19/0.81 cnf(378,plain,
% 0.19/0.81 (P1(f7(f6(a3),a4),f7(a4,a4),f6(a3))),
% 0.19/0.81 inference(scs_inference,[],[36,23,374,358,186,360,196,31,19,18,20])).
% 0.19/0.81 cnf(383,plain,
% 0.19/0.81 (P1(x3831,f7(x3831,x3831),f7(f7(x3831,x3831),x3831))),
% 0.19/0.81 inference(rename_variables,[],[353])).
% 0.19/0.81 cnf(384,plain,
% 0.19/0.81 (P1(x3841,f7(x3842,a4),f7(f7(x3841,a4),x3842))),
% 0.19/0.81 inference(scs_inference,[],[21,36,23,374,353,358,371,186,360,199,196,31,19,18,20,9,8])).
% 0.19/0.81 cnf(391,plain,
% 0.19/0.81 (~P1(f6(a2),f7(f6(a1),f7(a4,a4)),f6(a3))),
% 0.19/0.81 inference(scs_inference,[],[21,36,23,374,353,383,349,358,371,186,360,199,196,300,188,31,19,18,20,9,8,3,2,7,75])).
% 0.19/0.81 cnf(399,plain,
% 0.19/0.81 (~P1(f7(a4,a4),f6(a3),f7(a5,a4))),
% 0.19/0.81 inference(scs_inference,[],[23,167,331,302,118,14,31,19,20])).
% 0.19/0.81 cnf(420,plain,
% 0.19/0.81 (P1(x4201,f7(a4,a4),x4201)),
% 0.19/0.81 inference(rename_variables,[],[23])).
% 0.19/0.81 cnf(425,plain,
% 0.19/0.81 (P1(x4251,f7(a4,a4),x4251)),
% 0.19/0.81 inference(rename_variables,[],[23])).
% 0.19/0.81 cnf(428,plain,
% 0.19/0.81 (P1(x4281,f7(a4,a4),x4281)),
% 0.19/0.81 inference(rename_variables,[],[23])).
% 0.19/0.81 cnf(430,plain,
% 0.19/0.81 (P1(f7(x4301,x4302),f7(a4,a4),f7(f7(x4301,a4),x4302))),
% 0.19/0.81 inference(scs_inference,[],[23,420,425,428,38,28,384,378,399,324,180,31,19,18,20,9])).
% 0.19/0.81 cnf(467,plain,
% 0.19/0.81 (~P1(f7(a5,f7(a4,a4)),a3,f7(a4,a4))),
% 0.19/0.81 inference(scs_inference,[],[430,207,167,360,31,19])).
% 0.19/0.81 cnf(487,plain,
% 0.19/0.81 (P1(a3,x4871,f7(a1,f7(a2,x4871)))),
% 0.19/0.81 inference(rename_variables,[],[38])).
% 0.19/0.81 cnf(497,plain,
% 0.19/0.81 (P1(f6(a2),f6(a1),f7(a5,f7(a4,a4)))),
% 0.19/0.81 inference(scs_inference,[],[41,38,487,27,391,134,360,11,14,19,20,18,9])).
% 0.19/0.81 cnf(544,plain,
% 0.19/0.81 ($false),
% 0.19/0.81 inference(scs_inference,[],[497,467,84,180,19]),
% 0.19/0.81 ['proof']).
% 0.19/0.81 % SZS output end Proof
% 0.19/0.81 % Total time :0.190000s
%------------------------------------------------------------------------------