TSTP Solution File: GRP129-1.003 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP129-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n016.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 00:11:09 EDT 2023
% Result : Unsatisfiable 68.72s 68.88s
% Output : CNFRefutation 68.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP129-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 01:48:45 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.47/0.59 start to proof:theBenchmark
% 68.72/68.87 %-------------------------------------------
% 68.72/68.87 % File :CSE---1.6
% 68.72/68.87 % Problem :theBenchmark
% 68.72/68.88 % Transform :cnf
% 68.72/68.88 % Format :tptp:raw
% 68.72/68.88 % Command :java -jar mcs_scs.jar %d %s
% 68.72/68.88
% 68.72/68.88 % Result :Theorem 68.110000s
% 68.72/68.88 % Output :CNFRefutation 68.110000s
% 68.72/68.88 %-------------------------------------------
% 68.72/68.88 %--------------------------------------------------------------------------
% 68.72/68.88 % File : GRP129-1.003 : TPTP v8.1.2. Released v1.2.0.
% 68.72/68.88 % Domain : Group Theory (Quasigroups)
% 68.72/68.88 % Problem : a.(b.a) = (b.a).b
% 68.72/68.88 % Version : [Sla93] axioms.
% 68.72/68.88 % English : Generate the multiplication table for the specified quasi-
% 68.72/68.88 % group with 3 elements.
% 68.72/68.88
% 68.72/68.88 % Refs : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res
% 68.72/68.88 % : [Sla93] Slaney (1993), Email to G. Sutcliffe
% 68.72/68.88 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti
% 68.72/68.88 % Source : [Sla93]
% 68.72/68.88 % Names : QG7 [Sla93]
% 68.72/68.88 % : QG7 [FSB93]
% 68.72/68.88 % : QG7 [SFS95]
% 68.72/68.88 % : Bennett QG7 [TPTP]
% 68.72/68.88
% 68.72/68.88 % Status : Unsatisfiable
% 68.72/68.88 % Rating : 0.00 v2.1.0
% 68.72/68.88 % Syntax : Number of clauses : 14 ( 9 unt; 1 nHn; 14 RR)
% 68.72/68.88 % Number of literals : 26 ( 0 equ; 16 neg)
% 68.72/68.88 % Maximal clause size : 5 ( 1 avg)
% 68.72/68.88 % Maximal term depth : 1 ( 1 avg)
% 68.72/68.88 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty)
% 68.72/68.88 % Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% 68.72/68.88 % Number of variables : 18 ( 0 sgn)
% 68.72/68.88 % SPC : CNF_UNS_EPR_NEQ_NHN
% 68.72/68.88
% 68.72/68.88 % Comments : [SFS93]'s axiomatization has been modified for this.
% 68.72/68.88 % : Substitution axioms are not needed, as any positive equality
% 68.72/68.88 % literals should resolve on negative ones directly.
% 68.72/68.88 % : tptp2X: -f tptp -s3 GRP129-1.g
% 68.72/68.88 %--------------------------------------------------------------------------
% 68.72/68.88 cnf(element_1,axiom,
% 68.72/68.88 group_element(e_1) ).
% 68.72/68.88
% 68.72/68.88 cnf(element_2,axiom,
% 68.72/68.88 group_element(e_2) ).
% 68.72/68.88
% 68.72/68.88 cnf(element_3,axiom,
% 68.72/68.88 group_element(e_3) ).
% 68.72/68.88
% 68.72/68.88 cnf(e_1_is_not_e_2,axiom,
% 68.72/68.88 ~ equalish(e_1,e_2) ).
% 68.72/68.88
% 68.72/68.88 cnf(e_1_is_not_e_3,axiom,
% 68.72/68.88 ~ equalish(e_1,e_3) ).
% 68.72/68.88
% 68.72/68.88 cnf(e_2_is_not_e_1,axiom,
% 68.72/68.88 ~ equalish(e_2,e_1) ).
% 68.72/68.88
% 68.72/68.88 cnf(e_2_is_not_e_3,axiom,
% 68.72/68.88 ~ equalish(e_2,e_3) ).
% 68.72/68.88
% 68.72/68.88 cnf(e_3_is_not_e_1,axiom,
% 68.72/68.88 ~ equalish(e_3,e_1) ).
% 68.72/68.88
% 68.72/68.88 cnf(e_3_is_not_e_2,axiom,
% 68.72/68.88 ~ equalish(e_3,e_2) ).
% 68.72/68.88
% 68.72/68.88 cnf(product_total_function1,axiom,
% 68.72/68.88 ( ~ group_element(X)
% 68.72/68.88 | ~ group_element(Y)
% 68.72/68.88 | product(X,Y,e_1)
% 68.72/68.88 | product(X,Y,e_2)
% 68.72/68.88 | product(X,Y,e_3) ) ).
% 68.72/68.88
% 68.72/68.88 cnf(product_total_function2,axiom,
% 68.72/68.88 ( ~ product(X,Y,W)
% 68.72/68.88 | ~ product(X,Y,Z)
% 68.72/68.88 | equalish(W,Z) ) ).
% 68.72/68.88
% 68.72/68.88 cnf(product_right_cancellation,axiom,
% 68.72/68.88 ( ~ product(X,W,Y)
% 68.72/68.88 | ~ product(X,Z,Y)
% 68.72/68.88 | equalish(W,Z) ) ).
% 68.72/68.88
% 68.72/68.88 cnf(product_left_cancellation,axiom,
% 68.72/68.88 ( ~ product(W,Y,X)
% 68.72/68.88 | ~ product(Z,Y,X)
% 68.72/68.88 | equalish(W,Z) ) ).
% 68.72/68.88
% 68.72/68.88 cnf(qg3,negated_conjecture,
% 68.72/68.88 ( ~ product(Y,X,Z1)
% 68.72/68.88 | ~ product(X,Z1,Z2)
% 68.72/68.88 | product(Z1,Y,Z2) ) ).
% 68.72/68.88
% 68.72/68.88 %--------------------------------------------------------------------------
% 68.72/68.88 %-------------------------------------------
% 68.72/68.88 % Proof found
% 68.72/68.88 % SZS status Theorem for theBenchmark
% 68.72/68.88 % SZS output start Proof
% 68.72/68.88 %ClaNum:14(EqnAxiom:0)
% 68.72/68.88 %VarNum:41(SingletonVarNum:18)
% 68.72/68.88 %MaxLitNum:5
% 68.72/68.88 %MaxfuncDepth:0
% 68.72/68.88 %SharedTerms:12
% 68.72/68.88 %goalClause: 14
% 68.72/68.88 [1]P1(a1)
% 68.72/68.88 [2]P1(a2)
% 68.72/68.88 [3]P1(a3)
% 68.72/68.88 [4]~P2(a1,a2)
% 68.72/68.88 [5]~P2(a1,a3)
% 68.72/68.88 [6]~P2(a2,a1)
% 68.72/68.88 [7]~P2(a2,a3)
% 68.72/68.88 [8]~P2(a3,a1)
% 68.72/68.88 [9]~P2(a3,a2)
% 68.72/68.88 [11]~P3(x113,x114,x111)+P2(x111,x112)+~P3(x113,x114,x112)
% 68.72/68.88 [12]~P3(x123,x121,x124)+P2(x121,x122)+~P3(x123,x122,x124)
% 68.72/68.89 [13]~P3(x131,x133,x134)+P2(x131,x132)+~P3(x132,x133,x134)
% 68.72/68.89 [14]~P3(x142,x144,x141)+P3(x141,x142,x143)+~P3(x144,x141,x143)
% 68.72/68.89 [10]~P1(x102)+~P1(x101)+P3(x101,x102,a2)+P3(x101,x102,a3)+P3(x101,x102,a1)
% 68.72/68.89 %EqnAxiom
% 68.72/68.89
% 68.72/68.89 %-------------------------------------------
% 68.72/68.89 cnf(15,plain,
% 68.72/68.89 (~P3(a2,x151,x152)+~P3(a1,x151,x152)),
% 68.72/68.89 inference(scs_inference,[],[4,13])).
% 68.72/68.89 cnf(16,plain,
% 68.72/68.89 (~P3(x161,a2,x162)+~P3(x161,a1,x162)),
% 68.72/68.89 inference(scs_inference,[],[4,13,12])).
% 68.72/68.89 cnf(17,plain,
% 68.72/68.89 (~P3(x171,x172,a2)+~P3(x171,x172,a1)),
% 68.72/68.89 inference(scs_inference,[],[4,13,12,11])).
% 68.72/68.89 cnf(19,plain,
% 68.72/68.89 (P3(a2,a2,a2)+P3(a2,a2,a3)+P3(a2,a2,a1)),
% 68.72/68.89 inference(scs_inference,[],[2,10])).
% 68.72/68.89 cnf(21,plain,
% 68.72/68.89 (~P3(x211,a1,x212)+~P3(x213,x211,a1)+~P3(a2,x213,x212)),
% 68.72/68.89 inference(scs_inference,[],[15,14])).
% 68.72/68.89 cnf(22,plain,
% 68.72/68.89 (~P3(x221,x222,x223)+~P3(a1,x221,x222)+~P3(x222,a2,x223)),
% 68.72/68.89 inference(scs_inference,[],[16,14])).
% 68.72/68.89 cnf(24,plain,
% 68.72/68.89 (~P3(x241,x242,a3)+~P3(x241,x242,a1)),
% 68.72/68.89 inference(scs_inference,[],[5,11])).
% 68.72/68.89 cnf(25,plain,
% 68.72/68.89 (~P3(x251,x252,a3)+~P3(x252,x253,a1)+~P3(x253,x251,x252)),
% 68.72/68.89 inference(scs_inference,[],[5,11,14])).
% 68.72/68.89 cnf(29,plain,
% 68.72/68.89 (~P3(a3,x291,x292)+~P3(a1,x291,x292)),
% 68.72/68.89 inference(scs_inference,[],[5,13])).
% 68.72/68.89 cnf(30,plain,
% 68.72/68.89 (~P3(x301,a3,x302)+~P3(x301,a1,x302)),
% 68.72/68.89 inference(scs_inference,[],[5,13,12])).
% 68.72/68.89 cnf(32,plain,
% 68.72/68.89 (~P3(x321,a1,x322)+~P3(x323,x321,a1)+~P3(a3,x323,x322)),
% 68.72/68.89 inference(scs_inference,[],[29,14])).
% 68.72/68.89 cnf(33,plain,
% 68.72/68.89 (~P3(x331,x332,x333)+~P3(a1,x331,x332)+~P3(x332,a3,x333)),
% 68.72/68.89 inference(scs_inference,[],[30,14])).
% 68.72/68.89 cnf(38,plain,
% 68.72/68.89 (~P3(a3,x381,x382)+~P3(a2,x381,x382)),
% 68.72/68.89 inference(scs_inference,[],[7,13])).
% 68.72/68.89 cnf(39,plain,
% 68.72/68.89 (~P3(x391,a3,x392)+~P3(x391,a2,x392)),
% 68.72/68.89 inference(scs_inference,[],[7,13,12])).
% 68.72/68.89 cnf(40,plain,
% 68.72/68.89 (~P3(a2,a3,a3)+~P3(a3,a2,a1)+P3(a3,a3,a2)),
% 68.72/68.89 inference(scs_inference,[],[7,3,13,12,10])).
% 68.72/68.89 cnf(42,plain,
% 68.72/68.89 (P3(a1,a1,a1)+P3(a1,a1,a2)+P3(a1,a1,a3)),
% 68.72/68.89 inference(scs_inference,[],[1,10])).
% 68.72/68.89 cnf(44,plain,
% 68.72/68.89 (P3(a3,a2,a2)+P3(a3,a2,a3)+~P3(a3,a3,a1)),
% 68.72/68.89 inference(scs_inference,[],[3,2,39,10])).
% 68.72/68.89 cnf(50,plain,
% 68.72/68.89 (P3(a1,a1,a2)+P3(a1,a1,a3)+~P3(a2,a1,a1)),
% 68.72/68.89 inference(scs_inference,[],[42,15])).
% 68.72/68.89 cnf(51,plain,
% 68.72/68.89 (~P3(x511,a3,a1)+~P3(a3,x511,a3)+P3(a3,a2,a3)+P3(a3,a2,a2)),
% 68.72/68.89 inference(scs_inference,[],[44,14])).
% 68.72/68.89 cnf(52,plain,
% 68.72/68.89 (P3(a3,a3,a3)+P3(a3,a3,a1)+P3(a3,a3,a2)),
% 68.72/68.89 inference(scs_inference,[],[3,10])).
% 68.72/68.89 cnf(75,plain,
% 68.72/68.89 (~P3(x751,a2,x752)+~P3(x753,x751,a2)+~P3(a1,x753,x752)),
% 68.72/68.89 inference(scs_inference,[],[15,14])).
% 68.72/68.89 cnf(84,plain,
% 68.72/68.89 (~P3(a1,a1,a2)+P3(a2,a1,a3)+P3(a2,a1,a1)),
% 68.72/68.89 inference(scs_inference,[],[1,2,15,10])).
% 68.72/68.89 cnf(99,plain,
% 68.72/68.89 (~P3(a3,a1,a1)+P3(a3,a2,a2)+P3(a3,a2,a3)),
% 68.72/68.89 inference(scs_inference,[],[2,3,16,10])).
% 68.72/68.89 cnf(100,plain,
% 68.72/68.89 (~P3(x1001,a3,a1)+~P3(a1,x1001,a3)+P3(a3,a2,a3)+P3(a3,a2,a2)),
% 68.72/68.89 inference(scs_inference,[],[99,14])).
% 68.72/68.89 cnf(101,plain,
% 68.72/68.89 (~P3(a1,a1,a2)+P3(a2,a1,a1)+~P3(a2,a2,a3)),
% 68.72/68.89 inference(scs_inference,[],[16,84])).
% 68.72/68.89 cnf(110,plain,
% 68.72/68.89 (~P3(a2,a1,a1)+P3(a1,a1,a2)+~P3(a1,a2,a3)),
% 68.72/68.89 inference(scs_inference,[],[16,50])).
% 68.72/68.89 cnf(111,plain,
% 68.72/68.89 (P3(a1,a1,a2)+~P3(a1,a2,a3)+P3(a2,a1,a3)+P3(a2,a1,a2)),
% 68.72/68.89 inference(scs_inference,[],[1,2,110,10])).
% 68.72/68.89 cnf(112,plain,
% 68.72/68.89 (~P3(x1121,x1122,x1123)+~P3(a2,x1121,x1122)+~P3(x1122,a1,x1123)),
% 68.72/68.89 inference(scs_inference,[],[16,14])).
% 68.72/68.89 cnf(113,plain,
% 68.72/68.89 (~P3(a2,a1,a1)+~P3(a1,a2,a3)),
% 68.72/68.89 inference(scs_inference,[],[112,110])).
% 68.72/68.89 cnf(146,plain,
% 68.72/68.89 (~P3(a3,a3,a1)+P3(a3,a2,a2)+~P3(a3,a1,a3)),
% 68.72/68.89 inference(scs_inference,[],[16,44])).
% 68.72/68.89 cnf(155,plain,
% 68.72/68.89 (~P3(a3,a1,a3)+P3(a3,a2,a1)+P3(a3,a2,a2)),
% 68.72/68.89 inference(scs_inference,[],[2,3,16,10])).
% 68.72/68.89 cnf(160,plain,
% 68.72/68.89 (P3(a3,a1,a2)+P3(a3,a1,a3)+~P3(a3,a2,a1)),
% 68.72/68.89 inference(scs_inference,[],[3,1,16,10])).
% 68.72/68.89 cnf(169,plain,
% 68.72/68.89 (P3(a3,a1,a2)+P3(a3,a1,a1)+~P3(a3,a2,a3)),
% 68.72/68.89 inference(scs_inference,[],[1,3,16,10])).
% 68.72/68.89 cnf(210,plain,
% 68.72/68.89 (~P3(x2101,a3,x2102)+~P3(x2103,x2101,a3)+~P3(a1,x2103,x2102)),
% 68.72/68.89 inference(scs_inference,[],[29,14])).
% 68.72/68.89 cnf(218,plain,
% 68.72/68.89 (P3(a1,a1,a2)+P3(a1,a1,a3)+~P3(a3,a1,a1)),
% 68.72/68.89 inference(scs_inference,[],[29,42])).
% 68.72/68.89 cnf(227,plain,
% 68.72/68.89 (P3(a1,a1,a1)+P3(a1,a1,a2)+~P3(a3,a1,a3)),
% 68.72/68.89 inference(scs_inference,[],[29,42])).
% 68.72/68.89 cnf(231,plain,
% 68.72/68.89 (~P3(a1,a2,a1)+P3(a3,a2,a3)+P3(a3,a2,a2)),
% 68.72/68.89 inference(scs_inference,[],[2,3,29,10])).
% 68.72/68.89 cnf(236,plain,
% 68.72/68.89 (~P3(a1,a2,a3)+P3(a3,a2,a2)+P3(a3,a2,a1)),
% 68.72/68.89 inference(scs_inference,[],[2,3,29,10])).
% 68.72/68.89 cnf(250,plain,
% 68.72/68.89 (~P3(a1,a1,a1)+P3(a3,a1,a2)+P3(a3,a1,a3)),
% 68.72/68.90 inference(scs_inference,[],[1,3,29,10])).
% 68.72/68.90 cnf(270,plain,
% 68.72/68.90 (~P3(a1,a3,a3)+P3(a3,a3,a2)+P3(a3,a3,a1)),
% 68.72/68.90 inference(scs_inference,[],[3,29,10])).
% 68.72/68.90 cnf(286,plain,
% 68.72/68.90 (~P3(a1,a1,a2)+P3(a3,a1,a1)+P3(a3,a1,a3)),
% 68.72/68.90 inference(scs_inference,[],[1,3,29,10])).
% 68.72/68.90 cnf(302,plain,
% 68.72/68.90 (~P3(a1,a2,a3)+P3(a2,a1,a2)+P3(a2,a1,a3)+~P3(a3,a1,a2)),
% 68.72/68.90 inference(scs_inference,[],[29,111])).
% 68.72/68.90 cnf(309,plain,
% 68.72/68.90 (P3(a1,a2,a2)+P3(a1,a2,a1)+~P3(a3,a2,a3)),
% 68.72/68.90 inference(scs_inference,[],[2,1,29,10])).
% 68.72/68.90 cnf(322,plain,
% 68.72/68.90 (~P3(a3,a1,a1)+P3(a3,a2,a2)+~P3(a1,a2,a3)),
% 68.72/68.90 inference(scs_inference,[],[29,99])).
% 68.72/68.90 cnf(323,plain,
% 68.72/68.90 (~P3(a3,a1,a1)+P3(a3,a2,a2)+P3(a1,a2,a1)+P3(a1,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[1,2,322,10])).
% 68.72/68.90 cnf(340,plain,
% 68.72/68.90 (~P3(x3401,x3402,x3403)+~P3(a3,x3401,x3402)+~P3(x3402,a1,x3403)),
% 68.72/68.90 inference(scs_inference,[],[30,14])).
% 68.72/68.90 cnf(386,plain,
% 68.72/68.90 (~P3(a3,a1,a1)+P3(a1,a1,a2)+~P3(a1,a3,a3)),
% 68.72/68.90 inference(scs_inference,[],[30,218])).
% 68.72/68.90 cnf(401,plain,
% 68.72/68.90 (~P3(a1,a1,a2)+P3(a1,a3,a3)+P3(a1,a3,a1)),
% 68.72/68.90 inference(scs_inference,[],[3,1,30,10])).
% 68.72/68.90 cnf(410,plain,
% 68.72/68.90 (~P3(a1,a1,a1)+P3(a1,a3,a3)+P3(a1,a3,a2)),
% 68.72/68.90 inference(scs_inference,[],[3,1,30,10])).
% 68.72/68.90 cnf(459,plain,
% 68.72/68.90 (~P3(a1,a1,a2)+P3(a3,a1,a3)+~P3(a3,a3,a1)),
% 68.72/68.90 inference(scs_inference,[],[30,286])).
% 68.72/68.90 cnf(460,plain,
% 68.72/68.90 (~P3(a1,a1,a2)+P3(a3,a3,a2)+P3(a3,a3,a3)+P3(a3,a1,a3)),
% 68.72/68.90 inference(scs_inference,[],[459,52])).
% 68.72/68.90 cnf(489,plain,
% 68.72/68.90 (~P3(a3,a2,a3)+P3(a3,a1,a1)+~P3(a3,a3,a2)),
% 68.72/68.90 inference(scs_inference,[],[30,169])).
% 68.72/68.90 cnf(490,plain,
% 68.72/68.90 (P3(a3,a3,a1)+~P3(a1,a3,a3)+~P3(a3,a2,a3)+P3(a3,a1,a1)),
% 68.72/68.90 inference(scs_inference,[],[489,270])).
% 68.72/68.90 cnf(552,plain,
% 68.72/68.90 (~P3(a1,a2,a1)+P3(a3,a2,a2)+~P3(a2,a2,a3)),
% 68.72/68.90 inference(scs_inference,[],[38,231])).
% 68.72/68.90 cnf(553,plain,
% 68.72/68.90 (P3(a3,a2,a2)+~P3(a2,a2,a3)+P3(a1,a2,a2)+P3(a1,a2,a3)),
% 68.72/68.90 inference(scs_inference,[],[2,1,552,10])).
% 68.72/68.90 cnf(572,plain,
% 68.72/68.90 (~P3(x5721,a3,x5722)+~P3(x5723,x5721,a3)+~P3(a2,x5723,x5722)),
% 68.72/68.90 inference(scs_inference,[],[38,14])).
% 68.72/68.90 cnf(586,plain,
% 68.72/68.90 (~P3(a1,a2,a3)+P3(a3,a2,a2)+~P3(a2,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[38,236])).
% 68.72/68.90 cnf(626,plain,
% 68.72/68.90 (P3(a3,a3,a1)+~P3(a1,a3,a3)+~P3(a2,a3,a2)),
% 68.72/68.90 inference(scs_inference,[],[38,270])).
% 68.72/68.90 cnf(628,plain,
% 68.72/68.90 (~P3(x6281,a2,x6282)+~P3(x6283,x6281,a2)+~P3(a3,x6283,x6282)),
% 68.72/68.90 inference(scs_inference,[],[38,14])).
% 68.72/68.90 cnf(742,plain,
% 68.72/68.90 (~P3(a3,a1,a2)+~P3(a1,a2,a3)+P3(a2,a1,a3)),
% 68.72/68.90 inference(scs_inference,[],[38,302])).
% 68.72/68.90 cnf(743,plain,
% 68.72/68.90 (~P3(a3,a1,a2)+P3(a2,a1,a3)+P3(a1,a2,a2)+P3(a1,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[2,1,742,10])).
% 68.72/68.90 cnf(793,plain,
% 68.72/68.90 (~P3(a2,a2,a1)+P3(a3,a2,a3)+P3(a3,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[2,3,38,10])).
% 68.72/68.90 cnf(796,plain,
% 68.72/68.90 (~P3(x7961,x7962,x7963)+~P3(a3,x7961,x7962)+~P3(x7962,a2,x7963)),
% 68.72/68.90 inference(scs_inference,[],[39,14])).
% 68.72/68.90 cnf(806,plain,
% 68.72/68.90 (~P3(a1,a2,a1)+P3(a3,a2,a2)+~P3(a3,a3,a3)),
% 68.72/68.90 inference(scs_inference,[],[39,231])).
% 68.72/68.90 cnf(891,plain,
% 68.72/68.90 (~P3(a1,a1,a1)+P3(a1,a3,a2)+~P3(a1,a2,a3)),
% 68.72/68.90 inference(scs_inference,[],[39,410])).
% 68.72/68.90 cnf(892,plain,
% 68.72/68.90 (~P3(a1,a1,a1)+P3(a1,a3,a2)+P3(a1,a2,a1)+P3(a1,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[2,1,891,10])).
% 68.72/68.90 cnf(960,plain,
% 68.72/68.90 (~P3(a1,a1,a2)+P3(a1,a3,a1)+~P3(a1,a2,a3)),
% 68.72/68.90 inference(scs_inference,[],[39,401])).
% 68.72/68.90 cnf(961,plain,
% 68.72/68.90 (~P3(a1,a1,a2)+P3(a1,a3,a1)+P3(a1,a2,a1)+P3(a1,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[2,1,960,10])).
% 68.72/68.90 cnf(1013,plain,
% 68.72/68.90 (~P3(x10131,x10132,x10133)+~P3(a2,x10131,x10132)+~P3(x10132,a3,x10133)),
% 68.72/68.90 inference(scs_inference,[],[39,14])).
% 68.72/68.90 cnf(1060,plain,
% 68.72/68.90 (~P3(a2,a1,a1)+P3(a1,a2,a1)+P3(a1,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[1,2,113,10])).
% 68.72/68.90 cnf(1061,plain,
% 68.72/68.90 (~P3(x10611,a2,a1)+~P3(a1,x10611,a2)+P3(a1,a2,a2)+P3(a1,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[1060,14])).
% 68.72/68.90 cnf(1184,plain,
% 68.72/68.90 (P3(a2,a2,a2)+P3(a2,a2,a3)+~P3(a3,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[19,796])).
% 68.72/68.90 cnf(1186,plain,
% 68.72/68.90 (P3(a2,a2,a2)+~P3(a3,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[1184,796])).
% 68.72/68.90 cnf(1194,plain,
% 68.72/68.90 (~P3(a3,a2,a2)+~P3(a2,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[1186,17])).
% 68.72/68.90 cnf(1195,plain,
% 68.72/68.90 (~P3(a1,a2,a3)+~P3(a2,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[1194,586])).
% 68.72/68.90 cnf(1204,plain,
% 68.72/68.90 (~P3(a3,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[1186,38])).
% 68.72/68.90 cnf(1205,plain,
% 68.72/68.90 (P3(a3,a2,a3)+~P3(a3,a3,a1)),
% 68.72/68.90 inference(scs_inference,[],[1204,44])).
% 68.72/68.90 cnf(1206,plain,
% 68.72/68.90 (P3(a3,a2,a3)+~P3(a3,x12061,a3)+~P3(x12061,a3,a1)),
% 68.72/68.90 inference(scs_inference,[],[1204,51])).
% 68.72/68.90 cnf(1208,plain,
% 68.72/68.90 (P3(a3,a2,a3)+~P3(a1,x12081,a3)+~P3(x12081,a3,a1)),
% 68.72/68.90 inference(scs_inference,[],[1204,100])).
% 68.72/68.90 cnf(1209,plain,
% 68.72/68.90 (~P3(a3,a1,a3)+~P3(a3,a3,a1)),
% 68.72/68.90 inference(scs_inference,[],[1204,146])).
% 68.72/68.90 cnf(1211,plain,
% 68.72/68.90 (P3(a3,a2,a1)+~P3(a3,a1,a3)),
% 68.72/68.90 inference(scs_inference,[],[1204,155])).
% 68.72/68.90 cnf(1218,plain,
% 68.72/68.90 (~P3(a1,a2,a3)+P3(a3,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[1204,236])).
% 68.72/68.90 cnf(1225,plain,
% 68.72/68.90 (~P3(a3,a1,a1)+P3(a1,a2,a2)+P3(a1,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[1204,323])).
% 68.72/68.90 cnf(1228,plain,
% 68.72/68.90 (~P3(a2,a2,a3)+P3(a1,a2,a2)+P3(a1,a2,a3)),
% 68.72/68.90 inference(scs_inference,[],[1204,553])).
% 68.72/68.90 cnf(1234,plain,
% 68.72/68.90 (P3(a3,a2,a3)+~P3(a2,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[1204,793])).
% 68.72/68.90 cnf(1235,plain,
% 68.72/68.90 (~P3(a3,a3,a3)+~P3(a1,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[1204,806])).
% 68.72/68.90 cnf(1249,plain,
% 68.72/68.90 (~P3(a2,a3,a3)+~P3(a3,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[1204,14,40])).
% 68.72/68.90 cnf(1252,plain,
% 68.72/68.90 (P3(a3,a2,a3)+P3(a3,a3,a3)+P3(a3,a3,a2)),
% 68.72/68.90 inference(scs_inference,[],[3,1205,10])).
% 68.72/68.90 cnf(1253,plain,
% 68.72/68.90 (P3(a3,a2,a3)+P3(a3,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[3,1204,2,10])).
% 68.72/68.90 cnf(1256,plain,
% 68.72/68.90 (~P3(a3,a1,a3)+P3(a3,a3,a3)+P3(a3,a3,a2)),
% 68.72/68.90 inference(scs_inference,[],[3,1209,10])).
% 68.72/68.90 cnf(1258,plain,
% 68.72/68.90 (P3(a3,a2,a1)+P3(a3,a1,a1)+P3(a3,a1,a2)),
% 68.72/68.90 inference(scs_inference,[],[3,1,1211,10])).
% 68.72/68.90 cnf(1260,plain,
% 68.72/68.90 (~P3(a1,a2,a3)+~P3(a2,a3,a3)),
% 68.72/68.90 inference(scs_inference,[],[1218,1249])).
% 68.72/68.90 cnf(1265,plain,
% 68.72/68.90 (~P3(a2,a2,a1)+~P3(a3,a1,a3)),
% 68.72/68.90 inference(scs_inference,[],[1234,16])).
% 68.72/68.90 cnf(1267,plain,
% 68.72/68.90 (~P3(a1,a2,a1)+P3(a3,a3,a1)+P3(a3,a3,a2)),
% 68.72/68.90 inference(scs_inference,[],[3,1235,10])).
% 68.72/68.90 cnf(1274,plain,
% 68.72/68.90 (~P3(a2,a3,a3)+P3(a1,a2,a2)+P3(a1,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[1,2,1260,10])).
% 68.72/68.90 cnf(1276,plain,
% 68.72/68.90 (~P3(a3,a1,a3)+P3(a2,a2,a2)+P3(a2,a2,a3)),
% 68.72/68.90 inference(scs_inference,[],[2,1265,10])).
% 68.72/68.90 cnf(1278,plain,
% 68.72/68.90 (~P3(a2,a3,x12781)+~P3(x12782,a3,a1)+~P3(a3,x12782,a3)),
% 68.72/68.90 inference(scs_inference,[],[1206,572])).
% 68.72/68.90 cnf(1279,plain,
% 68.72/68.90 (~P3(a2,a3,a2)+~P3(x12791,a3,a1)+~P3(a1,x12791,a3)),
% 68.72/68.90 inference(scs_inference,[],[1208,628])).
% 68.72/68.90 cnf(1284,plain,
% 68.72/68.90 (P3(a1,a2,a2)+~P3(a2,a2,a3)),
% 68.72/68.90 inference(scs_inference,[],[1228,15])).
% 68.72/68.90 cnf(1285,plain,
% 68.72/68.90 (P3(a1,a2,a2)+P3(a2,a2,a1)+P3(a2,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[2,1284,10])).
% 68.72/68.90 cnf(1294,plain,
% 68.72/68.90 (P3(a3,a3,a3)+P3(a3,a2,a3)+~P3(a2,a3,a3)),
% 68.72/68.90 inference(scs_inference,[],[1204,1252,14])).
% 68.72/68.90 cnf(1295,plain,
% 68.72/68.90 (~P3(a1,a1,a2)+P3(a3,a3,a2)+P3(a3,a3,a3)),
% 68.72/68.90 inference(scs_inference,[],[1256,460])).
% 68.72/68.90 cnf(1296,plain,
% 68.72/68.90 (P3(a3,a1,a2)+P3(a3,a1,a1)+P3(a3,a1,a3)),
% 68.72/68.90 inference(scs_inference,[],[1258,160])).
% 68.72/68.90 cnf(1303,plain,
% 68.72/68.90 (P3(a3,a3,a1)+~P3(a1,a2,a1)+~P3(a2,a3,a3)),
% 68.72/68.90 inference(scs_inference,[],[1204,1267,14])).
% 68.72/68.90 cnf(1304,plain,
% 68.72/68.90 (P3(a3,a2,a1)+~P3(a2,a3,x13041)+~P3(a2,a3,a1)),
% 68.72/68.90 inference(scs_inference,[],[1204,2,3,1278,10])).
% 68.72/68.90 cnf(1305,plain,
% 68.72/68.90 (P3(a3,a2,a1)+~P3(a2,a3,a1)),
% 68.72/68.90 inference(factoring_inference,[],[1304])).
% 68.72/68.90 cnf(1307,plain,
% 68.72/68.90 (P3(a3,a2,a1)+P3(a2,a3,a2)+P3(a2,a3,a3)),
% 68.72/68.90 inference(scs_inference,[],[3,2,1305,10])).
% 68.72/68.90 cnf(1308,plain,
% 68.72/68.90 (~P3(a1,a3,a3)+~P3(a2,a3,a2)),
% 68.72/68.90 inference(scs_inference,[],[1279,626])).
% 68.72/68.90 cnf(1310,plain,
% 68.72/68.90 (~P3(a1,a3,a3)+P3(a2,a3,a3)+P3(a2,a3,a1)),
% 68.72/68.90 inference(scs_inference,[],[2,3,1308,10])).
% 68.72/68.90 cnf(1319,plain,
% 68.72/68.90 (P3(a3,a2,a3)+~P3(a2,a3,a3)),
% 68.72/68.90 inference(scs_inference,[],[1294,572])).
% 68.72/68.90 cnf(1321,plain,
% 68.72/68.90 (P3(a3,a2,a3)+P3(a2,a3,a1)+P3(a2,a3,a2)),
% 68.72/68.90 inference(scs_inference,[],[2,3,1319,10])).
% 68.72/68.90 cnf(1322,plain,
% 68.72/68.90 (~P3(a1,a1,a2)+P3(a3,a3,a3)+~P3(a2,a3,a3)),
% 68.72/68.90 inference(scs_inference,[],[1204,1295,14])).
% 68.72/68.90 cnf(1323,plain,
% 68.72/68.90 (P3(a3,a1,a1)+P3(a3,a1,a3)+~P3(a1,a3,a1)),
% 68.72/68.90 inference(scs_inference,[],[1296,32])).
% 68.72/68.90 cnf(1327,plain,
% 68.72/68.90 (~P3(a1,a2,a1)+~P3(a2,a3,a3)),
% 68.72/68.90 inference(scs_inference,[],[1303,1013])).
% 68.72/68.90 cnf(1328,plain,
% 68.72/68.90 (~P3(a1,a2,a1)+P3(a2,a3,a2)+P3(a3,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[1327,1307])).
% 68.72/68.90 cnf(1329,plain,
% 68.72/68.90 (P3(a2,a3,a3)+~P3(a1,a3,a3)+~P3(a3,a2,a3)),
% 68.72/68.90 inference(scs_inference,[],[1310,572])).
% 68.72/68.90 cnf(1335,plain,
% 68.72/68.90 (P3(a2,a3,a1)+P3(a3,a2,a3)+~P3(a2,a2,a3)),
% 68.72/68.90 inference(scs_inference,[],[1204,1321,14])).
% 68.72/68.90 cnf(1337,plain,
% 68.72/68.90 (~P3(a1,a1,a2)+~P3(a2,a3,a3)),
% 68.72/68.90 inference(scs_inference,[],[1322,572])).
% 68.72/68.90 cnf(1338,plain,
% 68.72/68.90 (~P3(a1,a1,a2)+~P3(a3,a2,a3)+~P3(a1,a3,a3)),
% 68.72/68.90 inference(scs_inference,[],[1337,1329])).
% 68.72/68.90 cnf(1339,plain,
% 68.72/68.90 (P3(a3,a1,a3)+~P3(a1,a3,a1)),
% 68.72/68.90 inference(scs_inference,[],[1323,32])).
% 68.72/68.90 cnf(1340,plain,
% 68.72/68.90 (P3(a3,a1,a3)+P3(a1,a3,a3)+P3(a1,a3,a2)),
% 68.72/68.90 inference(scs_inference,[],[1,3,1339,10])).
% 68.72/68.90 cnf(1344,plain,
% 68.72/68.90 (P3(a2,a3,a2)+~P3(a1,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[1328,29])).
% 68.72/68.90 cnf(1354,plain,
% 68.72/68.90 (P3(a2,a3,a1)+~P3(a2,a2,a3)),
% 68.72/68.90 inference(scs_inference,[],[1335,38])).
% 68.72/68.90 cnf(1356,plain,
% 68.72/68.90 (P3(a2,a3,a1)+P3(a2,a2,a1)+P3(a2,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[2,1354,10])).
% 68.72/68.90 cnf(1357,plain,
% 68.72/68.90 (~P3(a3,a2,a3)+~P3(a3,a1,a1)+~P3(a1,a3,a3)),
% 68.72/68.90 inference(scs_inference,[],[1338,386])).
% 68.72/68.90 cnf(1358,plain,
% 68.72/68.90 (~P3(a2,a1,a3)+P3(a1,a3,a3)+P3(a3,a1,a3)),
% 68.72/68.90 inference(scs_inference,[],[1204,1340,14])).
% 68.72/68.90 cnf(1364,plain,
% 68.72/68.90 (~P3(a3,a1,a1)+~P3(a1,a3,a3)+P3(a3,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[1204,2,3,1357,10])).
% 68.72/68.90 cnf(1365,plain,
% 68.72/68.90 (P3(a1,a3,a3)+~P3(a2,a1,a3)),
% 68.72/68.90 inference(scs_inference,[],[1358,38])).
% 68.72/68.90 cnf(1374,plain,
% 68.72/68.90 (~P3(a1,a3,a3)+P3(a3,a2,a1)+P3(a3,a1,a2)),
% 68.72/68.90 inference(scs_inference,[],[1364,1258])).
% 68.72/68.90 cnf(1381,plain,
% 68.72/68.90 (P3(a3,a2,a1)+~P3(a2,a1,a3)+P3(a3,a1,a2)),
% 68.72/68.90 inference(scs_inference,[],[1374,1365])).
% 68.72/68.90 cnf(1387,plain,
% 68.72/68.90 (P3(a3,a1,a2)+~P3(a2,a1,a3)+~P3(a1,a3,a1)),
% 68.72/68.90 inference(scs_inference,[],[1381,25])).
% 68.72/68.90 cnf(1393,plain,
% 68.72/68.90 (~P3(a2,a1,a3)+~P3(a1,a3,a1)),
% 68.72/68.90 inference(scs_inference,[],[1387,32])).
% 68.72/68.90 cnf(1421,plain,
% 68.72/68.90 (~P3(a2,a2,a1)+P3(a1,a2,a2)+P3(a1,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[2,1,1195,10])).
% 68.72/68.90 cnf(1433,plain,
% 68.72/68.90 (~P3(a3,a3,a1)+~P3(a2,a3,x14331)),
% 68.72/68.90 inference(scs_inference,[],[1205,572])).
% 68.72/68.90 cnf(1434,plain,
% 68.72/68.90 (P3(a3,a3,a2)+P3(a3,a3,a3)+~P3(a2,a3,x14341)),
% 68.72/68.90 inference(scs_inference,[],[3,1433,10])).
% 68.72/68.90 cnf(1436,plain,
% 68.72/68.90 (P3(a3,a3,a2)+~P3(a1,a3,a3)+~P3(a2,a3,x14361)),
% 68.72/68.90 inference(scs_inference,[],[1434,33])).
% 68.72/68.90 cnf(1437,plain,
% 68.72/68.90 (~P3(a1,a3,a3)+~P3(a2,a3,x14371)),
% 68.72/68.90 inference(scs_inference,[],[1436,33])).
% 68.72/68.90 cnf(1438,plain,
% 68.72/68.90 (~P3(a2,a1,a3)+~P3(a2,a3,x14381)),
% 68.72/68.90 inference(scs_inference,[],[1437,1365])).
% 68.72/68.90 cnf(1440,plain,
% 68.72/68.90 (P3(a2,a1,a1)+P3(a2,a1,a2)+~P3(a2,a3,x14401)),
% 68.72/68.90 inference(scs_inference,[],[1,2,1438,10])).
% 68.72/68.90 cnf(1441,plain,
% 68.72/68.90 (P3(a2,a1,a1)+~P3(a1,a2,a1)+~P3(a2,a3,x14411)),
% 68.72/68.90 inference(scs_inference,[],[1440,21])).
% 68.72/68.90 cnf(1442,plain,
% 68.72/68.90 (~P3(a1,a2,a1)+~P3(a2,a3,x14421)),
% 68.72/68.90 inference(scs_inference,[],[1441,22])).
% 68.72/68.90 cnf(1443,plain,
% 68.72/68.90 (~P3(a1,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[1442,1344])).
% 68.72/68.90 cnf(1444,plain,
% 68.72/68.90 (~P3(a3,a2,a3)+P3(a1,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[1443,309])).
% 68.72/68.90 cnf(1447,plain,
% 68.72/68.90 (~P3(a3,a1,a2)+P3(a1,a2,a2)+P3(a2,a1,a3)),
% 68.72/68.90 inference(scs_inference,[],[1443,743])).
% 68.72/68.90 cnf(1450,plain,
% 68.72/68.90 (~P3(a1,a1,a1)+P3(a1,a3,a2)+P3(a1,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[1443,892])).
% 68.72/68.90 cnf(1451,plain,
% 68.72/68.90 (~P3(a1,a1,a2)+P3(a1,a3,a1)+P3(a1,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[1443,961])).
% 68.72/68.90 cnf(1454,plain,
% 68.72/68.90 (P3(a1,a2,a2)+~P3(a1,x14541,a2)+~P3(x14541,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[1443,1061])).
% 68.72/68.90 cnf(1459,plain,
% 68.72/68.90 (~P3(a3,a1,a1)+P3(a1,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[1443,1225])).
% 68.72/68.90 cnf(1460,plain,
% 68.72/68.90 (~P3(a2,a3,a3)+P3(a1,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[1443,1274])).
% 68.72/68.90 cnf(1461,plain,
% 68.72/68.90 (~P3(a2,a2,a1)+P3(a1,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[1443,1421])).
% 68.72/68.90 cnf(1464,plain,
% 68.72/68.90 (P3(a1,a2,a2)+P3(a3,a2,a1)),
% 68.72/68.90 inference(scs_inference,[],[1204,3,2,1444,10])).
% 68.72/68.90 cnf(1465,plain,
% 68.72/68.90 (P3(a1,a2,a3)+P3(a1,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[2,1443,1,10])).
% 68.72/68.90 cnf(1466,plain,
% 68.72/68.90 (~P3(a1,a1,a3)+P3(a1,a2,a2)),
% 68.72/68.90 inference(scs_inference,[],[2,1443,1,10,16])).
% 68.72/68.90 cnf(1468,plain,
% 68.72/68.90 (P3(a1,a2,a2)+~P3(a1,a3,a3)),
% 68.72/68.90 inference(scs_inference,[],[2,1443,1,10,16,39])).
% 68.72/68.90 cnf(1472,plain,
% 68.72/68.90 (~P3(x14721,a1,a1)+~P3(a2,x14721,a1)),
% 68.72/68.90 inference(scs_inference,[],[1443,14])).
% 68.72/68.90 cnf(1474,plain,
% 68.72/68.90 (~P3(x14741,x14742,a2)+~P3(x14741,x14742,a3)),
% 68.72/68.91 inference(scs_inference,[],[1443,9,14,11])).
% 68.72/68.91 cnf(1480,plain,
% 68.72/68.91 (~P3(a3,a1,a1)+~P3(a2,a2,a2)),
% 68.72/68.91 inference(scs_inference,[],[1459,15])).
% 68.72/68.91 cnf(1481,plain,
% 68.72/68.91 (P3(a1,a2,a2)+P3(a2,a3,a2)+P3(a2,a3,a1)),
% 68.72/68.91 inference(scs_inference,[],[3,2,1460,10])).
% 68.72/68.91 cnf(1482,plain,
% 68.72/68.91 (~P3(a2,a2,a1)+~P3(a1,a1,a2)),
% 68.72/68.91 inference(scs_inference,[],[1461,16])).
% 68.72/68.91 cnf(1486,plain,
% 68.72/68.91 (~P3(a2,a2,a2)+P3(a1,a2,a3)),
% 68.72/68.91 inference(scs_inference,[],[4,1465,13])).
% 68.72/68.91 cnf(1487,plain,
% 68.72/68.91 (P3(a1,a2,a2)+P3(a1,a1,a2)+P3(a1,a1,a1)),
% 68.72/68.91 inference(scs_inference,[],[1,1466,10])).
% 68.72/68.91 cnf(1488,plain,
% 68.72/68.91 (~P3(a2,a1,a3)+P3(a1,a2,a2)),
% 68.72/68.91 inference(scs_inference,[],[1468,1365])).
% 68.72/68.91 cnf(1491,plain,
% 68.72/68.91 (~P3(a2,a2,a3)+~P3(a3,a1,a1)),
% 68.72/68.91 inference(scs_inference,[],[1472,1354])).
% 68.72/68.91 cnf(1492,plain,
% 68.72/68.91 (~P3(a3,a1,a1)+P3(a2,a2,a1)+P3(a2,a2,a3)),
% 68.72/68.91 inference(scs_inference,[],[2,1480,10])).
% 68.72/68.91 cnf(1493,plain,
% 68.72/68.91 (~P3(a2,a2,a1)+~P3(a3,a1,a1)+P3(a1,a1,a3)),
% 68.72/68.91 inference(scs_inference,[],[1482,218])).
% 68.72/68.91 cnf(1497,plain,
% 68.72/68.91 (~P3(a3,a1,a2)+P3(a1,a2,a2)),
% 68.72/68.91 inference(scs_inference,[],[1488,1447])).
% 68.72/68.91 cnf(1501,plain,
% 68.72/68.91 (~P3(a1,a1,a1)+P3(a1,a2,a2)+P3(a3,a1,a3)),
% 68.72/68.91 inference(scs_inference,[],[1497,250])).
% 68.72/68.91 cnf(1503,plain,
% 68.72/68.91 (P3(a1,a1,a2)+P3(a1,a2,a2)+P3(a1,a3,a2)),
% 68.72/68.91 inference(scs_inference,[],[1450,1487])).
% 68.72/68.91 cnf(1505,plain,
% 68.72/68.91 (P3(a1,a2,a2)+P3(a1,a3,a2)+P3(a1,a3,a1)),
% 68.72/68.91 inference(scs_inference,[],[1451,1503])).
% 68.72/68.91 cnf(1506,plain,
% 68.72/68.91 (~P3(a2,a2,x15061)+~P3(x15062,a2,a1)+~P3(a1,x15062,a2)),
% 68.72/68.91 inference(scs_inference,[],[1454,22])).
% 68.72/68.91 cnf(1509,plain,
% 68.72/68.91 (P3(a2,a3,a1)+P3(a1,a2,a2)+~P3(a3,a2,x15091)),
% 68.72/68.91 inference(scs_inference,[],[1481,628])).
% 68.72/68.91 cnf(1511,plain,
% 68.72/68.91 (P3(a2,a2,a1)+~P3(a3,a1,a1)),
% 68.72/68.91 inference(scs_inference,[],[1492,1491])).
% 68.72/68.91 cnf(1513,plain,
% 68.72/68.91 (P3(a1,a1,a3)+~P3(a3,a1,a1)),
% 68.72/68.91 inference(scs_inference,[],[1493,1511])).
% 68.72/68.91 cnf(1519,plain,
% 68.72/68.91 (P3(a1,a1,a2)+P3(a1,a2,a2)+P3(a3,a1,a3)),
% 68.72/68.91 inference(scs_inference,[],[1501,1487])).
% 68.72/68.91 cnf(1522,plain,
% 68.72/68.91 (P3(a1,a3,a2)+P3(a1,a3,a1)+~P3(a2,a2,x15221)),
% 68.72/68.91 inference(scs_inference,[],[1505,22])).
% 68.72/68.91 cnf(1524,plain,
% 68.72/68.91 (~P3(a3,a2,a3)+~P3(a2,a2,x15241)+~P3(a2,a2,a1)),
% 68.72/68.91 inference(scs_inference,[],[1506,1444])).
% 68.72/68.91 cnf(1525,plain,
% 68.72/68.91 (~P3(a3,a2,a3)+~P3(a2,a2,a1)),
% 68.72/68.91 inference(factoring_inference,[],[1524])).
% 68.72/68.91 cnf(1526,plain,
% 68.72/68.91 (~P3(a3,a2,a3)+~P3(a3,a1,a1)),
% 68.72/68.91 inference(scs_inference,[],[1525,1511])).
% 68.72/68.91 cnf(1527,plain,
% 68.72/68.91 (~P3(a3,a2,a3)+P3(a3,a2,a1)+P3(a3,a1,a2)),
% 68.72/68.91 inference(scs_inference,[],[1526,1258])).
% 68.72/68.91 cnf(1528,plain,
% 68.72/68.91 (P3(a2,a3,a1)+P3(a1,a2,a2)),
% 68.72/68.91 inference(scs_inference,[],[1509,1464])).
% 68.72/68.91 cnf(1530,plain,
% 68.72/68.91 (P3(a1,a2,a2)+~P3(a1,a3,a1)),
% 68.72/68.91 inference(scs_inference,[],[1528,15])).
% 68.72/68.91 cnf(1535,plain,
% 68.72/68.91 (P3(a1,a2,a2)+P3(a3,a1,a1)+P3(a3,a1,a3)),
% 68.72/68.91 inference(scs_inference,[],[1519,286])).
% 68.72/68.91 cnf(1537,plain,
% 68.72/68.91 (~P3(a2,a1,a3)+P3(a1,a3,a1)+~P3(a2,a2,x15371)),
% 68.72/68.91 inference(scs_inference,[],[1204,1522,14])).
% 68.72/68.91 cnf(1538,plain,
% 68.72/68.91 (~P3(a3,a2,a3)+P3(a3,a1,a2)+P3(a3,a1,a3)),
% 68.72/68.91 inference(scs_inference,[],[1527,160])).
% 68.72/68.91 cnf(1544,plain,
% 68.72/68.91 (P3(a3,a1,a1)+P3(a3,a1,a3)+~P3(a2,a1,a2)),
% 68.72/68.91 inference(scs_inference,[],[1535,75])).
% 68.72/68.91 cnf(1545,plain,
% 68.72/68.91 (~P3(a2,a1,a3)+~P3(a2,a2,x15451)),
% 68.72/68.91 inference(scs_inference,[],[1537,1393])).
% 68.72/68.91 cnf(1546,plain,
% 68.72/68.91 (~P3(x15461,a2,a3)+~P3(a1,x15461,a2)+~P3(a2,a2,x15462)),
% 68.72/68.91 inference(scs_inference,[],[1545,14])).
% 68.72/68.91 cnf(1547,plain,
% 68.72/68.91 (P3(a3,a1,a2)+P3(a3,a1,a3)+P3(a3,a2,a1)),
% 68.72/68.91 inference(scs_inference,[],[1204,2,3,1538,10])).
% 68.72/68.91 cnf(1553,plain,
% 68.72/68.91 (~P3(a2,a1,a2)+P3(a3,a1,a1)+~P3(a3,a2,a3)),
% 68.72/68.91 inference(scs_inference,[],[1544,16])).
% 68.72/68.91 cnf(1555,plain,
% 68.72/68.91 (P3(a1,a2,a3)+~P3(a2,a2,a3)+~P3(a2,a2,x15551)),
% 68.72/68.91 inference(scs_inference,[],[1,1443,2,1546,10])).
% 68.72/68.91 cnf(1556,plain,
% 68.72/68.91 (~P3(a2,a2,a3)+P3(a1,a2,a3)),
% 68.72/68.91 inference(factoring_inference,[],[1555])).
% 68.72/68.91 cnf(1557,plain,
% 68.72/68.91 (P3(a1,a2,a3)+P3(a2,a2,a2)+P3(a2,a2,a1)),
% 68.72/68.91 inference(scs_inference,[],[2,1556,10])).
% 68.72/68.91 cnf(1558,plain,
% 68.72/68.91 (P3(a3,a1,a2)+P3(a3,a1,a3)),
% 68.72/68.91 inference(scs_inference,[],[1547,160])).
% 68.72/68.91 cnf(1559,plain,
% 68.72/68.91 (P3(a3,a1,a3)+~P3(a3,a1,a1)),
% 68.72/68.91 inference(scs_inference,[],[1558,17])).
% 68.72/68.91 cnf(1560,plain,
% 68.72/68.91 (P3(a1,a2,a2)+P3(a3,a1,a3)),
% 68.72/68.91 inference(scs_inference,[],[1559,1535])).
% 68.72/68.91 cnf(1561,plain,
% 68.72/68.91 (P3(a3,a1,a3)+~P3(a2,a2,a2)),
% 68.72/68.91 inference(scs_inference,[],[1560,15])).
% 68.72/68.91 cnf(1562,plain,
% 68.72/68.91 (P3(a3,a1,a3)+P3(a2,a2,a1)+P3(a2,a2,a3)),
% 68.72/68.91 inference(scs_inference,[],[2,1561,10])).
% 68.72/68.91 cnf(1565,plain,
% 68.72/68.91 (~P3(a2,a1,a2)+~P3(a3,a2,a3)),
% 68.72/68.91 inference(scs_inference,[],[1553,1526])).
% 68.72/68.91 cnf(1566,plain,
% 68.72/68.91 (~P3(a2,a1,a2)+P3(a3,a2,a1)),
% 68.72/68.91 inference(scs_inference,[],[1204,3,2,1565,10])).
% 68.72/68.91 cnf(1571,plain,
% 68.72/68.91 (P3(a2,a2,a2)+P3(a1,a2,a3)+~P3(a2,a1,a1)),
% 68.72/68.91 inference(scs_inference,[],[1557,21])).
% 68.72/68.91 cnf(1572,plain,
% 68.72/68.91 (P3(a2,a2,a1)+P3(a3,a1,a3)+~P3(a1,a2,a2)),
% 68.72/68.91 inference(scs_inference,[],[1562,22])).
% 68.72/68.91 cnf(1577,plain,
% 68.72/68.91 (~P3(a2,a1,a1)+P3(a1,a2,a3)),
% 68.72/68.91 inference(scs_inference,[],[1571,1486])).
% 68.72/68.91 cnf(1579,plain,
% 68.72/68.91 (~P3(a2,a1,a1)+~P3(a2,a2,a3)),
% 68.72/68.91 inference(scs_inference,[],[1577,15])).
% 68.72/68.91 cnf(1580,plain,
% 68.72/68.91 (~P3(a2,a2,a3)+~P3(a1,a1,a2)),
% 68.72/68.91 inference(scs_inference,[],[1579,101])).
% 68.72/68.91 cnf(1581,plain,
% 68.72/68.91 (~P3(a2,a2,a3)+P3(a1,a1,a1)+~P3(a3,a1,a3)),
% 68.72/68.91 inference(scs_inference,[],[1580,227])).
% 68.72/68.91 cnf(1583,plain,
% 68.72/68.91 (P3(a2,a2,a1)+P3(a2,a2,a2)+P3(a3,a1,a3)),
% 68.72/68.91 inference(scs_inference,[],[1572,1285])).
% 68.72/68.91 cnf(1585,plain,
% 68.72/68.91 (P3(a1,a1,a1)+P3(a2,a2,a2)+~P3(a3,a1,a3)),
% 68.72/68.91 inference(scs_inference,[],[1581,1276])).
% 68.72/68.91 cnf(1586,plain,
% 68.72/68.91 (P3(a2,a2,a2)+P3(a3,a1,a3)+~P3(a2,a1,a1)),
% 68.72/68.91 inference(scs_inference,[],[1583,21])).
% 68.72/68.91 cnf(1587,plain,
% 68.72/68.91 (P3(a1,a1,a1)+P3(a2,a2,a1)+P3(a2,a2,a2)),
% 68.72/68.91 inference(scs_inference,[],[1585,1583])).
% 68.72/68.91 cnf(1588,plain,
% 68.72/68.91 (~P3(a2,a1,a1)+P3(a3,a1,a3)),
% 68.72/68.91 inference(scs_inference,[],[1586,1561])).
% 68.72/68.91 cnf(1589,plain,
% 68.72/68.91 (P3(a3,a1,a3)+P3(a2,a1,a3)+P3(a2,a1,a2)),
% 68.72/68.91 inference(scs_inference,[],[1,2,1588,10])).
% 68.72/68.91 cnf(1590,plain,
% 68.72/68.91 (P3(a2,a2,a1)+P3(a1,a1,a1)+~P3(a1,a2,a2)),
% 68.72/68.91 inference(scs_inference,[],[1587,22])).
% 68.72/68.91 cnf(1591,plain,
% 68.72/68.91 (P3(a3,a1,a3)+P3(a2,a1,a3)+~P3(a1,a2,x15911)),
% 68.72/68.91 inference(scs_inference,[],[1589,75])).
% 68.72/68.91 cnf(1593,plain,
% 68.72/68.91 (P3(a1,a1,a1)+~P3(a1,a2,a2)),
% 68.72/68.91 inference(scs_inference,[],[1590,22])).
% 68.72/68.91 cnf(1598,plain,
% 68.72/68.91 (P3(a2,a1,a3)+~P3(a1,a3,a1)+~P3(a1,a2,x15981)),
% 68.72/68.91 inference(scs_inference,[],[1591,32])).
% 68.72/68.91 cnf(1599,plain,
% 68.72/68.91 (~P3(a1,a3,a1)+~P3(a1,a2,x15991)),
% 68.72/68.91 inference(scs_inference,[],[1598,1393])).
% 68.72/68.91 cnf(1600,plain,
% 68.72/68.91 (P3(a1,a3,a3)+P3(a1,a3,a2)+~P3(a1,a2,x16001)),
% 68.72/68.91 inference(scs_inference,[],[3,1,1599,10])).
% 68.72/68.91 cnf(1601,plain,
% 68.72/68.91 (P3(a1,a3,a3)+~P3(a3,a1,a3)+~P3(a1,a2,x16011)),
% 68.72/68.91 inference(scs_inference,[],[1600,210])).
% 68.72/68.91 cnf(1602,plain,
% 68.72/68.91 (~P3(a3,a1,a3)+~P3(a1,a2,x16021)),
% 68.72/68.91 inference(scs_inference,[],[1601,340])).
% 68.72/68.91 cnf(1604,plain,
% 68.72/68.91 (P3(a3,a1,a2)+~P3(a1,a2,x16041)),
% 68.72/68.91 inference(scs_inference,[],[1602,1558])).
% 68.72/68.91 cnf(1605,plain,
% 68.72/68.91 (~P3(a3,a1,a1)+~P3(a1,a2,x16051)),
% 68.72/68.91 inference(scs_inference,[],[1604,17])).
% 68.72/68.91 cnf(1606,plain,
% 68.72/68.91 (~P3(a3,a1,a1)+P3(a1,a2,a3)),
% 68.72/68.91 inference(scs_inference,[],[1,1443,2,1605,10])).
% 68.72/68.91 cnf(1607,plain,
% 68.72/68.91 (~P3(a3,a1,a1)+~P3(a1,a1,a3)),
% 68.72/68.91 inference(scs_inference,[],[1606,16])).
% 68.72/68.91 cnf(1608,plain,
% 68.72/68.91 (~P3(a3,a1,a1)),
% 68.72/68.91 inference(scs_inference,[],[1607,1513])).
% 68.72/68.91 cnf(1626,plain,
% 68.72/68.91 (~P3(a1,a3,a3)+~P3(a3,a2,a3)+P3(a3,a3,a1)),
% 68.72/68.91 inference(scs_inference,[],[1608,490])).
% 68.72/68.91 cnf(1659,plain,
% 68.72/68.91 (~P3(x16591,a3,a1)+~P3(a1,x16591,a3)),
% 68.72/68.91 inference(scs_inference,[],[1608,14])).
% 68.72/68.91 cnf(1667,plain,
% 68.72/68.91 (P3(a1,a2,a2)+~P3(a2,a3,a1)),
% 68.72/68.91 inference(scs_inference,[],[1443,2,1,1659,10])).
% 68.72/68.91 cnf(1670,plain,
% 68.72/68.91 (~P3(a2,a3,a1)+~P3(a2,a2,a2)),
% 68.72/68.91 inference(scs_inference,[],[1667,15])).
% 68.72/68.91 cnf(1671,plain,
% 68.72/68.91 (~P3(a2,a3,a1)+P3(a2,a2,a1)+P3(a2,a2,a3)),
% 68.72/68.91 inference(scs_inference,[],[2,1670,10])).
% 68.72/68.91 cnf(1676,plain,
% 68.72/68.91 (~P3(a3,a2,a3)+~P3(a1,a3,a3)),
% 68.72/68.91 inference(scs_inference,[],[1608,1626,14])).
% 68.72/68.91 cnf(1678,plain,
% 68.72/68.91 (~P3(a3,a2,a3)+~P3(a2,a1,a3)),
% 68.72/68.91 inference(scs_inference,[],[1676,1365])).
% 68.72/68.91 cnf(1679,plain,
% 68.72/68.91 (~P3(a3,a2,a3)+P3(a2,a1,a1)+P3(a2,a1,a2)),
% 68.72/68.91 inference(scs_inference,[],[1,2,1678,10])).
% 68.72/68.91 cnf(1696,plain,
% 68.72/68.91 (P3(a2,a2,a1)+~P3(a2,a3,a1)+~P3(a1,a2,a2)),
% 68.72/68.91 inference(scs_inference,[],[1671,22])).
% 68.72/68.91 cnf(1698,plain,
% 68.72/68.91 (P3(a2,a1,a2)+P3(a2,a1,a1)+P3(a3,a2,a1)),
% 68.72/68.91 inference(scs_inference,[],[1204,2,3,1679,10])).
% 68.72/68.91 cnf(1705,plain,
% 68.72/68.91 (~P3(a2,a3,a1)+~P3(a1,a2,a2)),
% 68.72/68.91 inference(scs_inference,[],[1696,22])).
% 68.72/68.91 cnf(1707,plain,
% 68.72/68.91 (~P3(a2,a3,a1)+P3(a1,a2,a3)),
% 68.72/68.91 inference(scs_inference,[],[1,1443,2,1705,10])).
% 68.72/68.91 cnf(1708,plain,
% 68.72/68.91 (~P3(a2,a3,a1)+~P3(a2,a2,a3)),
% 68.72/68.91 inference(scs_inference,[],[1707,15])).
% 68.72/68.91 cnf(1709,plain,
% 68.72/68.91 (~P3(a2,a3,a1)+P3(a2,a2,a1)+P3(a2,a2,a2)),
% 68.72/68.91 inference(scs_inference,[],[2,1708,10])).
% 68.72/68.91 cnf(1710,plain,
% 68.72/68.91 (P3(a3,a2,a1)+P3(a2,a1,a1)),
% 68.72/68.91 inference(scs_inference,[],[1698,1566])).
% 68.72/68.91 cnf(1711,plain,
% 68.72/68.91 (P3(a2,a1,a1)+~P3(a3,a2,a3)),
% 68.72/68.91 inference(scs_inference,[],[1710,24])).
% 68.72/68.91 cnf(1713,plain,
% 68.72/68.91 (~P3(a3,a2,a3)+~P3(a1,a1,a1)),
% 68.72/68.91 inference(scs_inference,[],[1711,15])).
% 68.72/68.91 cnf(1714,plain,
% 68.72/68.91 (~P3(a3,a2,a3)+~P3(a1,a2,a2)),
% 68.72/68.91 inference(scs_inference,[],[1713,1593])).
% 68.72/68.91 cnf(1715,plain,
% 68.72/68.91 (~P3(a3,a2,a3)+P3(a1,a2,a3)),
% 68.72/68.91 inference(scs_inference,[],[1443,1,2,1714,10])).
% 68.72/68.91 cnf(1717,plain,
% 68.72/68.91 (~P3(a3,a2,a3)+~P3(a1,a1,a3)),
% 68.72/68.91 inference(scs_inference,[],[1715,16])).
% 68.72/68.91 cnf(1718,plain,
% 68.72/68.91 (~P3(a3,a2,a3)+P3(a1,a1,a1)+P3(a1,a1,a2)),
% 68.72/68.91 inference(scs_inference,[],[1,1717,10])).
% 68.72/68.91 cnf(1725,plain,
% 68.72/68.91 (P3(a2,a2,a2)+P3(a2,a2,a1)),
% 68.72/68.91 inference(scs_inference,[],[1709,1356])).
% 68.72/68.91 cnf(1730,plain,
% 68.72/68.91 (P3(a1,a1,a1)+~P3(a3,a2,a3)+~P3(a2,a1,a1)),
% 68.72/68.91 inference(scs_inference,[],[1718,112])).
% 68.72/68.91 cnf(1735,plain,
% 68.72/68.91 (~P3(a3,a2,a3)+~P3(a2,a1,a1)),
% 68.72/68.91 inference(scs_inference,[],[1730,15])).
% 68.72/68.91 cnf(1736,plain,
% 68.72/68.91 (~P3(a3,a2,a3)+P3(a3,a2,a1)),
% 68.72/68.91 inference(scs_inference,[],[1735,1710])).
% 68.72/68.91 cnf(1737,plain,
% 68.72/68.91 (~P3(a3,a2,a3)),
% 68.72/68.91 inference(scs_inference,[],[1736,24])).
% 68.72/68.91 cnf(1750,plain,
% 68.72/68.91 (~P3(a2,a2,a1)),
% 68.72/68.91 inference(scs_inference,[],[1737,1234])).
% 68.72/68.91 cnf(1752,plain,
% 68.72/68.91 (P3(a3,a2,a1)),
% 68.72/68.91 inference(scs_inference,[],[1737,1253])).
% 68.72/68.91 cnf(1859,plain,
% 68.72/68.91 (P3(a2,a2,a2)),
% 68.72/68.91 inference(scs_inference,[],[1750,1725])).
% 68.72/68.91 cnf(1878,plain,
% 68.72/68.91 (~P3(a1,x18781,a2)+~P3(x18781,a2,a1)),
% 68.72/68.91 inference(scs_inference,[],[1859,1506])).
% 68.72/68.91 cnf(1879,plain,
% 68.72/68.91 (P3(a1,a3,a2)+P3(a1,a3,a1)),
% 68.72/68.91 inference(scs_inference,[],[1859,1522])).
% 68.72/68.91 cnf(1895,plain,
% 68.72/68.91 ($false),
% 68.72/68.91 inference(scs_inference,[],[1752,1859,15,1474,1530,1878,1879]),
% 68.72/68.91 ['proof']).
% 68.72/68.91 % SZS output end Proof
% 68.72/68.91 % Total time :68.110000s
%------------------------------------------------------------------------------