TSTP Solution File: GRP126-1.004 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GRP126-1.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 : Thu Aug 31 00:11:05 EDT 2023
% Result : Unsatisfiable 15.22s 15.35s
% Output : CNFRefutation 15.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP126-1.004 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 20:38:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 15.22/15.34 %-------------------------------------------
% 15.22/15.34 % File :CSE---1.6
% 15.22/15.34 % Problem :theBenchmark
% 15.22/15.34 % Transform :cnf
% 15.22/15.34 % Format :tptp:raw
% 15.22/15.34 % Command :java -jar mcs_scs.jar %d %s
% 15.22/15.34
% 15.22/15.34 % Result :Theorem 14.700000s
% 15.22/15.34 % Output :CNFRefutation 14.700000s
% 15.22/15.34 %-------------------------------------------
% 15.22/15.34 %--------------------------------------------------------------------------
% 15.22/15.34 % File : GRP126-1.004 : TPTP v8.1.2. Released v1.2.0.
% 15.22/15.34 % Domain : Group Theory (Quasigroups)
% 15.22/15.34 % Problem : (a.b).(b.a) = b
% 15.22/15.34 % Version : [Sla93] axioms.
% 15.22/15.34 % English : Generate the multiplication table for the specified quasi-
% 15.22/15.34 % group with 4 elements.
% 15.22/15.34
% 15.22/15.34 % Refs : [FSB93] Fujita et al. (1993), Automatic Generation of Some Res
% 15.22/15.34 % : [Sla93] Slaney (1993), Email to G. Sutcliffe
% 15.22/15.34 % : [SFS95] Slaney et al. (1995), Automated Reasoning and Exhausti
% 15.22/15.34 % Source : [Sla93]
% 15.22/15.34 % Names : QG4 [Sla93]
% 15.22/15.34 % : QG4 [FSB93]
% 15.22/15.34 % : QG4 [SFS95]
% 15.22/15.34 % : Bennett QG4 [TPTP]
% 15.22/15.34
% 15.22/15.34 % Status : Unsatisfiable
% 15.22/15.34 % Rating : 0.00 v2.4.0, 0.00 v2.1.0
% 15.22/15.34 % Syntax : Number of clauses : 22 ( 17 unt; 1 nHn; 21 RR)
% 15.22/15.34 % Number of literals : 35 ( 0 equ; 22 neg)
% 15.22/15.34 % Maximal clause size : 6 ( 1 avg)
% 15.22/15.34 % Maximal term depth : 1 ( 1 avg)
% 15.22/15.34 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty)
% 15.22/15.34 % Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% 15.22/15.34 % Number of variables : 19 ( 0 sgn)
% 15.22/15.34 % SPC : CNF_UNS_EPR_NEQ_NHN
% 15.22/15.34
% 15.22/15.34 % Comments : [SFS93]'s axiomatization has been modified for this.
% 15.22/15.34 % : Substitution axioms are not needed, as any positive equality
% 15.22/15.34 % literals should resolve on negative ones directly.
% 15.22/15.34 % : tptp2X: -f tptp -s4 GRP126-1.g
% 15.22/15.34 %--------------------------------------------------------------------------
% 15.22/15.34 cnf(element_1,axiom,
% 15.22/15.34 group_element(e_1) ).
% 15.22/15.34
% 15.22/15.34 cnf(element_2,axiom,
% 15.22/15.34 group_element(e_2) ).
% 15.22/15.34
% 15.22/15.34 cnf(element_3,axiom,
% 15.22/15.34 group_element(e_3) ).
% 15.22/15.34
% 15.22/15.34 cnf(element_4,axiom,
% 15.22/15.34 group_element(e_4) ).
% 15.22/15.34
% 15.22/15.34 cnf(e_1_is_not_e_2,axiom,
% 15.22/15.35 ~ equalish(e_1,e_2) ).
% 15.22/15.35
% 15.22/15.35 cnf(e_1_is_not_e_3,axiom,
% 15.22/15.35 ~ equalish(e_1,e_3) ).
% 15.22/15.35
% 15.22/15.35 cnf(e_1_is_not_e_4,axiom,
% 15.22/15.35 ~ equalish(e_1,e_4) ).
% 15.22/15.35
% 15.22/15.35 cnf(e_2_is_not_e_1,axiom,
% 15.22/15.35 ~ equalish(e_2,e_1) ).
% 15.22/15.35
% 15.22/15.35 cnf(e_2_is_not_e_3,axiom,
% 15.22/15.35 ~ equalish(e_2,e_3) ).
% 15.22/15.35
% 15.22/15.35 cnf(e_2_is_not_e_4,axiom,
% 15.22/15.35 ~ equalish(e_2,e_4) ).
% 15.22/15.35
% 15.22/15.35 cnf(e_3_is_not_e_1,axiom,
% 15.22/15.35 ~ equalish(e_3,e_1) ).
% 15.22/15.35
% 15.22/15.35 cnf(e_3_is_not_e_2,axiom,
% 15.22/15.35 ~ equalish(e_3,e_2) ).
% 15.22/15.35
% 15.22/15.35 cnf(e_3_is_not_e_4,axiom,
% 15.22/15.35 ~ equalish(e_3,e_4) ).
% 15.22/15.35
% 15.22/15.35 cnf(e_4_is_not_e_1,axiom,
% 15.22/15.35 ~ equalish(e_4,e_1) ).
% 15.22/15.35
% 15.22/15.35 cnf(e_4_is_not_e_2,axiom,
% 15.22/15.35 ~ equalish(e_4,e_2) ).
% 15.22/15.35
% 15.22/15.35 cnf(e_4_is_not_e_3,axiom,
% 15.22/15.35 ~ equalish(e_4,e_3) ).
% 15.22/15.35
% 15.22/15.35 cnf(product_total_function1,axiom,
% 15.22/15.35 ( ~ group_element(X)
% 15.22/15.35 | ~ group_element(Y)
% 15.22/15.35 | product(X,Y,e_1)
% 15.22/15.35 | product(X,Y,e_2)
% 15.22/15.35 | product(X,Y,e_3)
% 15.22/15.35 | product(X,Y,e_4) ) ).
% 15.22/15.35
% 15.22/15.35 cnf(product_total_function2,axiom,
% 15.22/15.35 ( ~ product(X,Y,W)
% 15.22/15.35 | ~ product(X,Y,Z)
% 15.22/15.35 | equalish(W,Z) ) ).
% 15.22/15.35
% 15.22/15.35 cnf(product_right_cancellation,axiom,
% 15.22/15.35 ( ~ product(X,W,Y)
% 15.22/15.35 | ~ product(X,Z,Y)
% 15.22/15.35 | equalish(W,Z) ) ).
% 15.22/15.35
% 15.22/15.35 cnf(product_left_cancellation,axiom,
% 15.22/15.35 ( ~ product(W,Y,X)
% 15.22/15.35 | ~ product(Z,Y,X)
% 15.22/15.35 | equalish(W,Z) ) ).
% 15.22/15.35
% 15.22/15.35 cnf(product_idempotence,axiom,
% 15.22/15.35 product(X,X,X) ).
% 15.22/15.35
% 15.22/15.35 cnf(qg4,negated_conjecture,
% 15.22/15.35 ( ~ product(X,Y,Z1)
% 15.22/15.35 | ~ product(Y,X,Z2)
% 15.22/15.35 | product(Z1,Z2,Y) ) ).
% 15.22/15.35
% 15.22/15.35 %--------------------------------------------------------------------------
% 15.22/15.35 %-------------------------------------------
% 15.22/15.35 % Proof found
% 15.22/15.35 % SZS status Theorem for theBenchmark
% 15.22/15.35 % SZS output start Proof
% 15.22/15.35 %ClaNum:22(EqnAxiom:0)
% 15.22/15.35 %VarNum:46(SingletonVarNum:19)
% 15.22/15.35 %MaxLitNum:6
% 15.22/15.35 %MaxfuncDepth:0
% 15.22/15.35 %SharedTerms:20
% 15.22/15.35 %goalClause: 21
% 15.22/15.35 [1]P1(a1)
% 15.22/15.35 [2]P1(a2)
% 15.22/15.35 [3]P1(a3)
% 15.22/15.35 [4]P1(a4)
% 15.22/15.35 [6]~P2(a1,a2)
% 15.22/15.35 [7]~P2(a1,a3)
% 15.22/15.35 [8]~P2(a1,a4)
% 15.22/15.35 [9]~P2(a2,a1)
% 15.22/15.35 [10]~P2(a2,a3)
% 15.22/15.35 [11]~P2(a2,a4)
% 15.22/15.35 [12]~P2(a3,a1)
% 15.22/15.35 [13]~P2(a3,a2)
% 15.22/15.35 [14]~P2(a3,a4)
% 15.22/15.35 [15]~P2(a4,a1)
% 15.22/15.35 [16]~P2(a4,a2)
% 15.22/15.35 [17]~P2(a4,a3)
% 15.22/15.35 [5]P3(x51,x51,x51)
% 15.22/15.35 [18]~P3(x183,x184,x181)+P2(x181,x182)+~P3(x183,x184,x182)
% 15.22/15.35 [19]~P3(x193,x191,x194)+P2(x191,x192)+~P3(x193,x192,x194)
% 15.22/15.35 [20]~P3(x201,x203,x204)+P2(x201,x202)+~P3(x202,x203,x204)
% 15.22/15.35 [21]~P3(x214,x213,x211)+P3(x211,x212,x213)+~P3(x213,x214,x212)
% 15.22/15.35 [22]~P1(x222)+~P1(x221)+P3(x221,x222,a2)+P3(x221,x222,a3)+P3(x221,x222,a4)+P3(x221,x222,a1)
% 15.22/15.35 %EqnAxiom
% 15.22/15.35
% 15.22/15.35 %-------------------------------------------
% 15.22/15.35 cnf(24,plain,
% 15.22/15.35 (~P3(a1,a2,a1)),
% 15.22/15.35 inference(scs_inference,[],[5,6,20,19])).
% 15.22/15.35 cnf(25,plain,
% 15.22/15.35 (P3(x251,x251,x251)),
% 15.22/15.35 inference(rename_variables,[],[5])).
% 15.22/15.35 cnf(30,plain,
% 15.22/15.35 (~P3(a2,x301,a1)+~P3(x301,a2,a1)),
% 15.22/15.35 inference(scs_inference,[],[5,25,6,20,19,18,21])).
% 15.22/15.35 cnf(32,plain,
% 15.22/15.35 (~P3(a3,a1,a3)),
% 15.22/15.35 inference(scs_inference,[],[7,5,19])).
% 15.22/15.35 cnf(33,plain,
% 15.22/15.35 (P3(x331,x331,x331)),
% 15.22/15.35 inference(rename_variables,[],[5])).
% 15.22/15.35 cnf(35,plain,
% 15.22/15.35 (~P3(a3,a3,a1)),
% 15.22/15.35 inference(scs_inference,[],[7,5,33,19,18])).
% 15.22/15.35 cnf(36,plain,
% 15.22/15.35 (P3(x361,x361,x361)),
% 15.22/15.35 inference(rename_variables,[],[5])).
% 15.22/15.35 cnf(38,plain,
% 15.22/15.35 (~P3(a3,a1,a1)),
% 15.22/15.35 inference(scs_inference,[],[7,5,33,36,19,18,20])).
% 15.22/15.35 cnf(43,plain,
% 15.22/15.35 (~P3(a2,a1,x431)+P3(x431,a4,a1)+P3(a1,a2,a3)+P3(a1,a2,a2)),
% 15.22/15.35 inference(scs_inference,[],[1,2,7,5,33,36,24,19,18,20,22,21])).
% 15.22/15.35 cnf(47,plain,
% 15.22/15.35 (~P3(a1,a4,a4)),
% 15.22/15.35 inference(scs_inference,[],[8,5,18,20])).
% 15.22/15.35 cnf(50,plain,
% 15.22/15.35 (P3(a3,a1,a2)+P3(a3,a1,a4)),
% 15.22/15.35 inference(scs_inference,[],[3,8,5,32,38,1,18,20,22])).
% 15.22/15.35 cnf(52,plain,
% 15.22/15.35 (~P3(a1,a3,x521)+P3(a2,x521,a1)+P3(a3,a1,a4)),
% 15.22/15.35 inference(scs_inference,[],[3,8,5,32,38,1,18,20,22,21])).
% 15.22/15.35 cnf(56,plain,
% 15.22/15.35 (~P3(a2,a2,a1)),
% 15.22/15.35 inference(scs_inference,[],[9,5,19,18])).
% 15.22/15.35 cnf(57,plain,
% 15.22/15.35 (P3(x571,x571,x571)),
% 15.22/15.35 inference(rename_variables,[],[5])).
% 15.22/15.35 cnf(59,plain,
% 15.22/15.35 (~P3(a4,a4,a1)),
% 15.22/15.35 inference(scs_inference,[],[9,5,57,47,19,18,21])).
% 15.22/15.35 cnf(60,plain,
% 15.22/15.35 (P3(x601,x601,x601)),
% 15.22/15.35 inference(rename_variables,[],[5])).
% 15.22/15.35 cnf(62,plain,
% 15.22/15.35 (~P3(a1,a2,a2)),
% 15.22/15.35 inference(scs_inference,[],[9,5,57,60,47,19,18,21,20])).
% 15.22/15.35 cnf(65,plain,
% 15.22/15.35 (P3(a1,a2,a4)+P3(a1,a2,a3)),
% 15.22/15.35 inference(scs_inference,[],[2,9,24,5,57,60,47,1,19,18,21,20,22])).
% 15.22/15.35 cnf(68,plain,
% 15.22/15.35 (P3(a1,a2,a3)+P3(x681,a4,a1)+~P3(a2,a1,x681)),
% 15.22/15.35 inference(scs_inference,[],[62,43])).
% 15.22/15.35 cnf(69,plain,
% 15.22/15.35 (~P3(a3,a3,a2)),
% 15.22/15.35 inference(scs_inference,[],[10,5,18])).
% 15.22/15.35 cnf(70,plain,
% 15.22/15.35 (P3(x701,x701,x701)),
% 15.22/15.35 inference(rename_variables,[],[5])).
% 15.22/15.35 cnf(72,plain,
% 15.22/15.35 (~P3(a2,a3,a2)),
% 15.22/15.35 inference(scs_inference,[],[10,5,70,18,19])).
% 15.22/15.35 cnf(73,plain,
% 15.22/15.35 (P3(x731,x731,x731)),
% 15.22/15.36 inference(rename_variables,[],[5])).
% 15.22/15.36 cnf(75,plain,
% 15.22/15.36 (~P3(a2,a3,a3)),
% 15.22/15.36 inference(scs_inference,[],[10,5,70,73,18,19,20])).
% 15.22/15.36 cnf(78,plain,
% 15.22/15.36 (P3(a1,a2,a3)+~P3(a2,a1,a4)),
% 15.22/15.36 inference(scs_inference,[],[10,5,70,73,59,18,19,20,68])).
% 15.22/15.36 cnf(80,plain,
% 15.22/15.36 (~P3(a2,a1,a3)+~P3(a2,a1,a4)),
% 15.22/15.36 inference(scs_inference,[],[10,5,70,73,35,59,18,19,20,68,21])).
% 15.22/15.36 cnf(82,plain,
% 15.22/15.36 (~P3(a4,a2,a4)),
% 15.22/15.36 inference(scs_inference,[],[11,5,19])).
% 15.22/15.36 cnf(83,plain,
% 15.22/15.36 (P3(x831,x831,x831)),
% 15.22/15.36 inference(rename_variables,[],[5])).
% 15.22/15.36 cnf(87,plain,
% 15.22/15.36 (P3(a1,a4,a1)+P3(a1,a4,a3)+P3(a1,a4,a2)),
% 15.22/15.36 inference(scs_inference,[],[11,4,5,83,47,1,19,20,22])).
% 15.22/15.36 cnf(93,plain,
% 15.22/15.36 (~P3(a1,a3,a3)),
% 15.22/15.36 inference(scs_inference,[],[12,5,18,20])).
% 15.22/15.36 cnf(94,plain,
% 15.22/15.36 (P3(x941,x941,x941)),
% 15.22/15.36 inference(rename_variables,[],[5])).
% 15.22/15.36 cnf(96,plain,
% 15.22/15.36 (~P3(a2,a2,a3)),
% 15.22/15.36 inference(scs_inference,[],[12,5,94,72,18,20,21])).
% 15.22/15.36 cnf(101,plain,
% 15.22/15.36 (~P3(a3,a2,a2)),
% 15.22/15.36 inference(scs_inference,[],[13,5,19,20])).
% 15.22/15.36 cnf(102,plain,
% 15.22/15.36 (P3(x1021,x1021,x1021)),
% 15.22/15.36 inference(rename_variables,[],[5])).
% 15.22/15.36 cnf(104,plain,
% 15.22/15.36 (~P3(a3,a3,a4)),
% 15.22/15.36 inference(scs_inference,[],[13,14,5,102,19,20,18])).
% 15.22/15.36 cnf(109,plain,
% 15.22/15.36 (~P3(a4,a1,a4)),
% 15.22/15.36 inference(scs_inference,[],[5,15,20,19])).
% 15.22/15.36 cnf(112,plain,
% 15.22/15.36 (P3(a4,a2,a1)+P3(a4,a2,a3)+P3(a4,a2,a2)),
% 15.22/15.36 inference(scs_inference,[],[5,15,82,4,2,20,19,22])).
% 15.22/15.36 cnf(118,plain,
% 15.22/15.36 (~P3(a2,a4,a2)),
% 15.22/15.36 inference(scs_inference,[],[5,16,18,19])).
% 15.22/15.36 cnf(119,plain,
% 15.22/15.36 (P3(x1191,x1191,x1191)),
% 15.22/15.36 inference(rename_variables,[],[5])).
% 15.22/15.36 cnf(121,plain,
% 15.22/15.36 (~P3(a2,a4,a4)),
% 15.22/15.36 inference(scs_inference,[],[5,119,16,18,19,20])).
% 15.22/15.36 cnf(126,plain,
% 15.22/15.36 (~P3(a4,a3,a3)),
% 15.22/15.36 inference(scs_inference,[],[17,5,19,20])).
% 15.22/15.36 cnf(129,plain,
% 15.22/15.36 (~P3(a1,x1291,a3)+~P3(x1291,a1,a3)),
% 15.22/15.36 inference(scs_inference,[],[17,35,5,19,20,21])).
% 15.22/15.36 cnf(131,plain,
% 15.22/15.36 (P3(a2,a3,a1)+P3(a2,a3,a4)),
% 15.22/15.36 inference(scs_inference,[],[17,35,75,72,3,2,5,19,20,21,22])).
% 15.22/15.36 cnf(135,plain,
% 15.22/15.36 (~P3(a1,a4,a1)),
% 15.22/15.36 inference(scs_inference,[],[8,5,20,19])).
% 15.22/15.36 cnf(140,plain,
% 15.22/15.36 (P3(a3,a2,a1)+P3(a3,a2,a3)+P3(a3,a2,a4)),
% 15.22/15.36 inference(scs_inference,[],[8,101,3,2,5,20,19,68,22])).
% 15.22/15.36 cnf(144,plain,
% 15.22/15.36 (P3(a1,a4,a3)+P3(a1,a4,a2)),
% 15.22/15.36 inference(scs_inference,[],[135,87])).
% 15.22/15.36 cnf(145,plain,
% 15.22/15.36 (~P3(a1,a1,a3)),
% 15.22/15.36 inference(scs_inference,[],[7,5,18])).
% 15.22/15.36 cnf(146,plain,
% 15.22/15.36 (P3(x1461,x1461,x1461)),
% 15.22/15.36 inference(rename_variables,[],[5])).
% 15.22/15.36 cnf(150,plain,
% 15.22/15.36 (~P3(a3,a4,a4)),
% 15.22/15.36 inference(scs_inference,[],[7,14,5,146,18,19,20])).
% 15.22/15.36 cnf(153,plain,
% 15.22/15.36 (~P3(a4,a4,a2)),
% 15.22/15.36 inference(scs_inference,[],[11,5,18])).
% 15.22/15.36 cnf(154,plain,
% 15.22/15.36 (P3(x1541,x1541,x1541)),
% 15.22/15.36 inference(rename_variables,[],[5])).
% 15.22/15.36 cnf(158,plain,
% 15.22/15.36 (~P3(a3,x1581,a1)+~P3(x1581,a3,a1)),
% 15.22/15.36 inference(scs_inference,[],[11,145,5,154,18,20,21])).
% 15.22/15.36 cnf(160,plain,
% 15.22/15.36 (P3(a3,a1,a4)+~P3(a1,a3,a2)),
% 15.22/15.36 inference(scs_inference,[],[30,52])).
% 15.22/15.36 cnf(164,plain,
% 15.22/15.36 (P3(x1641,x1641,x1641)),
% 15.22/15.36 inference(rename_variables,[],[5])).
% 15.22/15.36 cnf(166,plain,
% 15.22/15.36 (P3(a4,a1,a3)+P3(a4,a1,a2)),
% 15.22/15.36 inference(scs_inference,[],[8,109,4,1,5,18,20,22])).
% 15.22/15.36 cnf(168,plain,
% 15.22/15.36 (~P3(a1,a3,a1)),
% 15.22/15.36 inference(scs_inference,[],[8,12,109,4,1,5,164,18,20,22,19])).
% 15.22/15.36 cnf(171,plain,
% 15.22/15.36 (~P3(a1,a4,a3)+P3(a4,a1,a2)),
% 15.22/15.36 inference(scs_inference,[],[8,12,109,104,4,1,5,164,18,20,22,19,21])).
% 15.22/15.36 cnf(173,plain,
% 15.22/15.36 (P3(a1,a4,a2)+P3(a4,a1,a2)),
% 15.22/15.36 inference(scs_inference,[],[8,12,109,104,4,1,5,164,18,20,22,19,21,144])).
% 15.22/15.36 cnf(176,plain,
% 15.22/15.36 (~P3(a1,a1,a4)),
% 15.22/15.36 inference(scs_inference,[],[8,5,19,18])).
% 15.22/15.36 cnf(177,plain,
% 15.22/15.36 (P3(x1771,x1771,x1771)),
% 15.22/15.36 inference(rename_variables,[],[5])).
% 15.22/15.36 cnf(179,plain,
% 15.22/15.36 (~P3(a2,a1,a1)),
% 15.22/15.36 inference(scs_inference,[],[8,9,5,177,19,18,20])).
% 15.22/15.36 cnf(182,plain,
% 15.22/15.36 (~P3(a4,a4,a3)),
% 15.22/15.36 inference(scs_inference,[],[14,5,18])).
% 15.22/15.36 cnf(183,plain,
% 15.22/15.36 (P3(x1831,x1831,x1831)),
% 15.22/15.36 inference(rename_variables,[],[5])).
% 15.22/15.36 cnf(185,plain,
% 15.22/15.36 (~P3(a2,a1,a2)),
% 15.22/15.36 inference(scs_inference,[],[9,14,5,183,18,19])).
% 15.22/15.36 cnf(186,plain,
% 15.22/15.36 (P3(x1861,x1861,x1861)),
% 15.22/15.36 inference(rename_variables,[],[5])).
% 15.22/15.36 cnf(190,plain,
% 15.22/15.36 (P3(a3,a4,a3)+P3(a3,a4,a2)+P3(a3,a4,a1)),
% 15.22/15.36 inference(scs_inference,[],[9,14,150,3,4,5,183,186,18,19,20,22])).
% 15.22/15.36 cnf(194,plain,
% 15.22/15.36 (~P3(a3,a4,a3)),
% 15.22/15.36 inference(scs_inference,[],[17,5,19])).
% 15.22/15.36 cnf(195,plain,
% 15.22/15.36 (P3(x1951,x1951,x1951)),
% 15.22/15.36 inference(rename_variables,[],[5])).
% 15.22/15.36 cnf(199,plain,
% 15.22/15.36 (~P3(a2,a2,a4)),
% 15.22/15.36 inference(scs_inference,[],[17,118,5,195,19,18,21])).
% 15.22/15.36 cnf(202,plain,
% 15.22/15.36 (P3(a2,a4,a3)+P3(a2,a4,a1)),
% 15.22/15.36 inference(scs_inference,[],[17,121,118,4,2,5,195,19,18,21,22])).
% 15.22/15.36 cnf(204,plain,
% 15.22/15.36 (~P3(a1,a4,a3)+P3(a2,a4,a1)),
% 15.22/15.36 inference(scs_inference,[],[9,17,121,118,4,2,5,195,19,18,21,22,20])).
% 15.22/15.36 cnf(206,plain,
% 15.22/15.36 (P3(a3,a4,a1)+P3(a3,a4,a2)),
% 15.22/15.36 inference(scs_inference,[],[194,190])).
% 15.22/15.36 cnf(208,plain,
% 15.22/15.36 (P3(x2081,x2081,x2081)),
% 15.22/15.36 inference(rename_variables,[],[5])).
% 15.22/15.36 cnf(212,plain,
% 15.22/15.36 (P3(a4,a2,a3)+P3(a4,a2,a1)),
% 15.22/15.36 inference(scs_inference,[],[16,5,208,20,19,112])).
% 15.22/15.36 cnf(213,plain,
% 15.22/15.36 (~P3(a2,a4,a3)+P3(a4,a2,a1)),
% 15.22/15.36 inference(scs_inference,[],[16,104,5,208,20,19,112,21])).
% 15.22/15.36 cnf(215,plain,
% 15.22/15.36 (P3(a2,a4,a1)+P3(a4,a2,a1)),
% 15.22/15.36 inference(scs_inference,[],[16,104,5,208,20,19,112,21,202])).
% 15.22/15.36 cnf(223,plain,
% 15.22/15.36 (P3(a2,a1,a4)+P3(a2,a1,a3)),
% 15.22/15.36 inference(scs_inference,[],[185,179,1,2,5,20,22])).
% 15.22/15.36 cnf(225,plain,
% 15.22/15.36 (~P3(a1,a2,a4)+P3(a2,a1,a3)),
% 15.22/15.36 inference(scs_inference,[],[59,185,179,1,2,5,20,22,21])).
% 15.22/15.36 cnf(227,plain,
% 15.22/15.36 (P3(a1,a2,a3)+P3(a2,a1,a3)),
% 15.22/15.36 inference(scs_inference,[],[59,185,179,1,2,5,20,22,21,78])).
% 15.22/15.36 cnf(228,plain,
% 15.22/15.36 (~P3(a1,x2281,a2)+~P3(x2281,a1,a2)),
% 15.22/15.36 inference(scs_inference,[],[56,21])).
% 15.22/15.36 cnf(231,plain,
% 15.22/15.36 (~P3(a4,a1,a2)+P3(a1,a4,a3)),
% 15.22/15.36 inference(scs_inference,[],[56,21,173,144])).
% 15.22/15.36 cnf(234,plain,
% 15.22/15.36 (~P3(a2,a4,a3)+~P3(a4,a1,a2)),
% 15.22/15.36 inference(scs_inference,[],[56,6,5,21,173,144,18,20])).
% 15.22/15.36 cnf(236,plain,
% 15.22/15.36 (P3(a1,a3,a4)+P3(a1,a3,a2)),
% 15.22/15.36 inference(scs_inference,[],[168,93,3,1,22])).
% 15.22/15.36 cnf(238,plain,
% 15.22/15.36 (~P3(a1,a2,a4)+P3(a1,a3,a2)),
% 15.22/15.36 inference(scs_inference,[],[13,168,93,3,1,22,19])).
% 15.22/15.36 cnf(240,plain,
% 15.22/15.36 (~P3(a3,a1,a4)+P3(a1,a3,a2)),
% 15.22/15.36 inference(scs_inference,[],[13,59,168,93,3,1,22,19,21])).
% 15.22/15.36 cnf(242,plain,
% 15.22/15.36 (~P3(a4,a3,a4)),
% 15.22/15.36 inference(scs_inference,[],[14,5,19])).
% 15.22/15.36 cnf(247,plain,
% 15.22/15.36 (P3(a4,a3,a2)+P3(a4,a3,a1)),
% 15.22/15.36 inference(scs_inference,[],[126,242,4,3,5,19,22])).
% 15.22/15.36 cnf(249,plain,
% 15.22/15.36 (~P3(a3,a4,a2)+P3(a4,a3,a1)),
% 15.22/15.36 inference(scs_inference,[],[126,242,96,4,3,5,19,22,21])).
% 15.22/15.36 cnf(251,plain,
% 15.22/15.36 (P3(a3,a4,a1)+P3(a4,a3,a1)),
% 15.22/15.36 inference(scs_inference,[],[126,242,96,4,3,5,19,22,21,206])).
% 15.22/15.36 cnf(255,plain,
% 15.22/15.36 (P3(x2551,x2551,x2551)),
% 15.22/15.36 inference(rename_variables,[],[5])).
% 15.22/15.36 cnf(259,plain,
% 15.22/15.36 (P3(a3,a2,a4)+P3(a3,a2,a1)),
% 15.22/15.36 inference(scs_inference,[],[13,5,255,19,20,140])).
% 15.22/15.36 cnf(262,plain,
% 15.22/15.36 (~P3(a2,a3,a4)+P3(a3,a2,a1)),
% 15.22/15.36 inference(scs_inference,[],[13,15,153,5,255,19,20,140,18,21])).
% 15.22/15.36 cnf(264,plain,
% 15.22/15.36 (P3(a2,a3,a1)+P3(a3,a2,a1)),
% 15.22/15.36 inference(scs_inference,[],[13,15,153,5,255,19,20,140,18,21,131])).
% 15.22/15.36 cnf(265,plain,
% 15.22/15.36 (P3(a1,a3,a2)+P3(a3,a1,a2)),
% 15.22/15.36 inference(scs_inference,[],[50,240])).
% 15.22/15.36 cnf(266,plain,
% 15.22/15.36 (P3(a1,a2,a4)+~P3(a2,a1,a3)),
% 15.22/15.36 inference(scs_inference,[],[65,129])).
% 15.22/15.36 cnf(267,plain,
% 15.22/15.36 (~P3(a3,x2671,a2)+~P3(x2671,a3,a2)),
% 15.22/15.36 inference(scs_inference,[],[96,21])).
% 15.22/15.36 cnf(273,plain,
% 15.22/15.36 (P3(a4,a1,a3)+~P3(a1,a4,a2)),
% 15.22/15.36 inference(scs_inference,[],[166,228])).
% 15.22/15.36 cnf(279,plain,
% 15.22/15.36 (~P3(a1,a4,a3)+~P3(a4,a2,a1)),
% 15.22/15.36 inference(scs_inference,[],[204,30])).
% 15.22/15.36 cnf(280,plain,
% 15.22/15.36 (~P3(a1,a2,a3)+P3(a4,a2,a1)),
% 15.22/15.36 inference(scs_inference,[],[15,212,20])).
% 15.22/15.36 cnf(282,plain,
% 15.22/15.36 (~P3(a2,x2821,a3)+~P3(x2821,a2,a3)),
% 15.22/15.36 inference(scs_inference,[],[69,21])).
% 15.22/15.36 cnf(284,plain,
% 15.22/15.36 (~P3(a2,a3,a1)+P3(a4,a2,a1)),
% 15.22/15.36 inference(scs_inference,[],[17,215,19])).
% 15.22/15.36 cnf(293,plain,
% 15.22/15.36 (P3(a4,a1,a3)+~P3(a2,a4,a3)),
% 15.22/15.36 inference(scs_inference,[],[234,166])).
% 15.22/15.36 cnf(294,plain,
% 15.22/15.36 (P3(a3,a1,a4)+P3(a1,a3,a4)),
% 15.22/15.36 inference(scs_inference,[],[236,160])).
% 15.22/15.36 cnf(295,plain,
% 15.22/15.36 (~P3(a4,x2951,a3)+~P3(x2951,a4,a3)),
% 15.22/15.36 inference(scs_inference,[],[104,21])).
% 15.22/15.36 cnf(297,plain,
% 15.22/15.36 (~P3(a1,a2,a4)+~P3(a3,a1,a2)),
% 15.22/15.36 inference(scs_inference,[],[238,228])).
% 15.22/15.36 cnf(298,plain,
% 15.22/15.36 (P3(a4,a3,a2)+~P3(a3,a4,a1)),
% 15.22/15.36 inference(scs_inference,[],[247,158])).
% 15.22/15.36 cnf(307,plain,
% 15.22/15.36 (~P3(a1,a2,a4)+P3(a3,a2,a1)),
% 15.22/15.36 inference(scs_inference,[],[12,259,20])).
% 15.22/15.36 cnf(308,plain,
% 15.22/15.36 (~P3(a2,x3081,a4)+~P3(x3081,a2,a4)),
% 15.22/15.36 inference(scs_inference,[],[153,21])).
% 15.22/15.36 cnf(311,plain,
% 15.22/15.36 (P3(a4,a2,a1)+P3(a3,a2,a1)),
% 15.22/15.36 inference(scs_inference,[],[264,284])).
% 15.22/15.36 cnf(317,plain,
% 15.22/15.36 (P3(a1,a3,a2)+~P3(a2,a1,a3)),
% 15.22/15.36 inference(scs_inference,[],[266,238])).
% 15.22/15.36 cnf(320,plain,
% 15.22/15.36 (P3(a1,a3,a4)+~P3(a3,a1,a2)),
% 15.22/15.36 inference(scs_inference,[],[267,236])).
% 15.22/15.36 cnf(321,plain,
% 15.22/15.36 (~P3(a3,x3211,a4)+~P3(x3211,a3,a4)),
% 15.22/15.36 inference(scs_inference,[],[182,21])).
% 15.22/15.36 cnf(326,plain,
% 15.22/15.36 (~P3(a1,a2,a3)+~P3(a2,a4,a1)),
% 15.22/15.36 inference(scs_inference,[],[280,30])).
% 15.22/15.36 cnf(332,plain,
% 15.22/15.36 (P3(a2,a4,a1)+~P3(a4,a2,a3)),
% 15.22/15.36 inference(scs_inference,[],[282,202])).
% 15.22/15.36 cnf(334,plain,
% 15.22/15.36 (~P3(a4,x3341,a2)+~P3(x3341,a4,a2)),
% 15.22/15.36 inference(scs_inference,[],[199,21])).
% 15.22/15.36 cnf(337,plain,
% 15.22/15.36 (P3(a1,a4,a2)+~P3(a4,a1,a3)),
% 15.22/15.36 inference(scs_inference,[],[295,144])).
% 15.22/15.36 cnf(338,plain,
% 15.22/15.36 (P3(a1,a2,a3)+~P3(a3,a1,a2)),
% 15.22/15.36 inference(scs_inference,[],[297,65])).
% 15.22/15.36 cnf(341,plain,
% 15.22/15.36 (~P3(a4,a1,a2)+~P3(a3,a4,a1)),
% 15.22/15.36 inference(scs_inference,[],[12,298,19])).
% 15.22/15.36 cnf(347,plain,
% 15.22/15.36 (~P3(a1,a2,a4)+~P3(a2,a3,a1)),
% 15.22/15.36 inference(scs_inference,[],[307,30])).
% 15.22/15.36 cnf(348,plain,
% 15.22/15.36 (~P3(a4,x3481,a1)+~P3(x3481,a4,a1)),
% 15.22/15.36 inference(scs_inference,[],[176,21])).
% 15.22/15.36 cnf(350,plain,
% 15.22/15.36 (P3(a2,a3,a1)+~P3(a3,a2,a4)),
% 15.22/15.36 inference(scs_inference,[],[308,131])).
% 15.22/15.36 cnf(352,plain,
% 15.22/15.36 (P3(a3,a2,a1)+~P3(a1,a4,a3)),
% 15.22/15.36 inference(scs_inference,[],[311,279])).
% 15.22/15.36 cnf(355,plain,
% 15.22/15.36 (P3(a3,a1,a4)+~P3(a2,a1,a3)),
% 15.22/15.36 inference(scs_inference,[],[317,160])).
% 15.22/15.36 cnf(358,plain,
% 15.22/15.36 (~P3(a3,a1,a2)+~P3(a3,a1,a4)),
% 15.22/15.36 inference(scs_inference,[],[320,321])).
% 15.22/15.36 cnf(362,plain,
% 15.22/15.36 (P3(a1,a2,a4)+~P3(a2,a4,a1)),
% 15.22/15.36 inference(scs_inference,[],[326,65])).
% 15.22/15.36 cnf(363,plain,
% 15.22/15.36 (~P3(a1,x3631,a4)+~P3(x3631,a1,a4)),
% 15.22/15.36 inference(scs_inference,[],[59,21])).
% 15.22/15.36 cnf(366,plain,
% 15.22/15.36 (~P3(a4,a2,a1)+~P3(a4,a2,a3)),
% 15.22/15.36 inference(scs_inference,[],[332,348])).
% 15.22/15.36 cnf(367,plain,
% 15.22/15.36 (P3(a3,a4,a1)+~P3(a4,a3,a2)),
% 15.22/15.36 inference(scs_inference,[],[334,206])).
% 15.22/15.36 cnf(373,plain,
% 15.22/15.36 (~P3(a3,a1,a2)+~P3(a2,a1,a3)),
% 15.22/15.36 inference(scs_inference,[],[338,129])).
% 15.22/15.36 cnf(376,plain,
% 15.22/15.36 (P3(a4,a1,a3)+~P3(a3,a4,a1)),
% 15.22/15.36 inference(scs_inference,[],[341,166])).
% 15.22/15.36 cnf(377,plain,
% 15.22/15.36 (P3(a1,a2,a3)+~P3(a2,a3,a1)),
% 15.22/15.36 inference(scs_inference,[],[347,65])).
% 15.22/15.36 cnf(378,plain,
% 15.22/15.36 (~P3(a3,a2,a1)+~P3(a3,a2,a4)),
% 15.22/15.36 inference(scs_inference,[],[350,30])).
% 15.22/15.36 cnf(381,plain,
% 15.22/15.36 (~P3(a1,a4,a3)+~P3(a2,a3,a1)),
% 15.22/15.36 inference(scs_inference,[],[352,30])).
% 15.22/15.36 cnf(384,plain,
% 15.22/15.36 (~P3(a2,a1,a3)+~P3(a1,a3,a4)),
% 15.22/15.36 inference(scs_inference,[],[355,321])).
% 15.22/15.36 cnf(388,plain,
% 15.22/15.36 (P3(a2,a1,a3)+~P3(a2,a4,a1)),
% 15.22/15.36 inference(scs_inference,[],[362,225])).
% 15.22/15.36 cnf(389,plain,
% 15.22/15.36 (P3(a3,a1,a2)+~P3(a1,a3,a4)),
% 15.22/15.36 inference(scs_inference,[],[363,50])).
% 15.22/15.36 cnf(393,plain,
% 15.22/15.36 (~P3(a4,a3,a1)+~P3(a4,a3,a2)),
% 15.22/15.36 inference(scs_inference,[],[367,158])).
% 15.22/15.36 cnf(399,plain,
% 15.22/15.36 (P3(a2,a1,a4)+~P3(a3,a1,a2)),
% 15.22/15.36 inference(scs_inference,[],[373,223])).
% 15.22/15.36 cnf(401,plain,
% 15.22/15.36 (~P3(a2,a3,a1)+~P3(a2,a1,a3)),
% 15.22/15.36 inference(scs_inference,[],[377,282])).
% 15.22/15.36 cnf(403,plain,
% 15.22/15.36 (P3(a1,a4,a2)+~P3(a2,a3,a1)),
% 15.22/15.36 inference(scs_inference,[],[381,144])).
% 15.22/15.36 cnf(406,plain,
% 15.22/15.36 (P3(a1,a2,a3)+~P3(a1,a3,a4)),
% 15.22/15.36 inference(scs_inference,[],[384,227])).
% 15.32/15.36 cnf(411,plain,
% 15.32/15.36 (~P3(a2,a1,a4)+~P3(a2,a4,a1)),
% 15.32/15.36 inference(scs_inference,[],[388,80])).
% 15.32/15.36 cnf(412,plain,
% 15.32/15.36 (~P3(a1,a3,a4)+~P3(a1,a3,a2)),
% 15.32/15.36 inference(scs_inference,[],[389,228])).
% 15.32/15.36 cnf(416,plain,
% 15.32/15.36 (~P3(a3,a1,a2)+~P3(a2,a4,a1)),
% 15.32/15.36 inference(scs_inference,[],[399,411])).
% 15.32/15.36 cnf(422,plain,
% 15.32/15.36 (P3(a2,a1,a4)+~P3(a2,a3,a1)),
% 15.32/15.36 inference(scs_inference,[],[401,223])).
% 15.32/15.36 cnf(424,plain,
% 15.32/15.36 (P3(a4,a2,a1)+~P3(a1,a3,a4)),
% 15.32/15.36 inference(scs_inference,[],[406,280])).
% 15.32/15.36 cnf(430,plain,
% 15.32/15.36 (P3(a3,a1,a4)+~P3(a2,a4,a1)),
% 15.32/15.36 inference(scs_inference,[],[416,50])).
% 15.32/15.36 cnf(434,plain,
% 15.32/15.36 (~P3(a2,a3,a1)+~P3(a2,a4,a1)),
% 15.32/15.36 inference(scs_inference,[],[422,411])).
% 15.32/15.36 cnf(436,plain,
% 15.32/15.36 (~P3(a1,a3,a4)+~P3(a2,a4,a1)),
% 15.32/15.36 inference(scs_inference,[],[424,30])).
% 15.32/15.36 cnf(441,plain,
% 15.32/15.36 (P3(a2,a3,a4)+~P3(a2,a4,a1)),
% 15.32/15.36 inference(scs_inference,[],[434,131])).
% 15.32/15.36 cnf(447,plain,
% 15.32/15.36 (P3(a2,a4,a3)+~P3(a1,a3,a4)),
% 15.32/15.36 inference(scs_inference,[],[436,202])).
% 15.32/15.36 cnf(450,plain,
% 15.32/15.36 (P3(a3,a2,a1)+~P3(a2,a4,a1)),
% 15.32/15.36 inference(scs_inference,[],[441,262])).
% 15.32/15.36 cnf(451,plain,
% 15.32/15.36 (~P3(a4,a1,a2)+~P3(a1,a3,a4)),
% 15.32/15.36 inference(scs_inference,[],[447,234])).
% 15.32/15.36 cnf(452,plain,
% 15.32/15.36 (~P3(a2,a4,a1)+~P3(a3,a2,a4)),
% 15.32/15.36 inference(scs_inference,[],[450,378])).
% 15.32/15.36 cnf(455,plain,
% 15.32/15.36 (~P3(a1,a4,a3)+~P3(a1,a3,a4)),
% 15.32/15.36 inference(scs_inference,[],[451,171])).
% 15.32/15.36 cnf(458,plain,
% 15.32/15.36 (~P3(a1,a4,a3)+~P3(a3,a2,a4)),
% 15.32/15.36 inference(scs_inference,[],[452,204])).
% 15.32/15.36 cnf(461,plain,
% 15.32/15.36 (P3(a1,a4,a2)+~P3(a1,a3,a4)),
% 15.32/15.36 inference(scs_inference,[],[455,144])).
% 15.32/15.36 cnf(462,plain,
% 15.32/15.36 (~P3(a4,a1,a2)+~P3(a3,a2,a4)),
% 15.32/15.36 inference(scs_inference,[],[458,231])).
% 15.32/15.36 cnf(463,plain,
% 15.32/15.36 (P3(a4,a1,a3)+~P3(a1,a3,a4)),
% 15.32/15.36 inference(scs_inference,[],[461,273])).
% 15.32/15.36 cnf(464,plain,
% 15.32/15.36 (P3(a1,a4,a2)+~P3(a3,a2,a4)),
% 15.32/15.36 inference(scs_inference,[],[462,173])).
% 15.32/15.36 cnf(465,plain,
% 15.32/15.36 (~P3(a4,a2,a3)+~P3(a1,a3,a4)),
% 15.32/15.36 inference(scs_inference,[],[6,463,19])).
% 15.32/15.36 cnf(468,plain,
% 15.32/15.36 (P3(a4,a1,a3)+~P3(a3,a2,a4)),
% 15.32/15.36 inference(scs_inference,[],[464,273])).
% 15.32/15.36 cnf(471,plain,
% 15.32/15.36 (P3(a1,a3,a2)+~P3(a4,a2,a3)),
% 15.32/15.36 inference(scs_inference,[],[465,236])).
% 15.32/15.36 cnf(474,plain,
% 15.32/15.36 (~P3(a2,a1,a3)+~P3(a3,a2,a4)),
% 15.32/15.36 inference(scs_inference,[],[11,468,20])).
% 15.32/15.36 cnf(475,plain,
% 15.32/15.36 (P3(a3,a1,a4)+~P3(a4,a2,a3)),
% 15.32/15.36 inference(scs_inference,[],[471,160])).
% 15.32/15.36 cnf(476,plain,
% 15.32/15.36 (P3(a2,a1,a4)+~P3(a3,a2,a4)),
% 15.32/15.36 inference(scs_inference,[],[474,223])).
% 15.32/15.36 cnf(477,plain,
% 15.32/15.36 (~P3(a3,a1,a2)+~P3(a4,a2,a3)),
% 15.32/15.36 inference(scs_inference,[],[475,358])).
% 15.32/15.36 cnf(481,plain,
% 15.32/15.36 (P3(a4,a2,a1)+~P3(a3,a1,a2)),
% 15.32/15.36 inference(scs_inference,[],[477,212])).
% 15.32/15.36 cnf(503,plain,
% 15.32/15.36 (P3(a2,a4,a3)+~P3(a4,a2,a1)),
% 15.32/15.36 inference(scs_inference,[],[30,202])).
% 15.32/15.36 cnf(504,plain,
% 15.32/15.36 (P3(a4,a1,a3)+~P3(a4,a2,a1)),
% 15.32/15.36 inference(scs_inference,[],[503,293])).
% 15.32/15.36 cnf(505,plain,
% 15.32/15.36 (P3(a1,a4,a2)+~P3(a4,a2,a1)),
% 15.32/15.36 inference(scs_inference,[],[504,337])).
% 15.32/15.36 cnf(508,plain,
% 15.32/15.36 (~P3(a4,a2,a1)+~P3(a4,a1,a2)),
% 15.32/15.36 inference(scs_inference,[],[505,334])).
% 15.32/15.36 cnf(511,plain,
% 15.32/15.36 (P3(a2,a4,a1)+~P3(a4,a1,a2)),
% 15.32/15.36 inference(scs_inference,[],[508,215])).
% 15.32/15.36 cnf(514,plain,
% 15.32/15.36 (~P3(a4,a1,a2)+~P3(a1,a2,a3)),
% 15.32/15.36 inference(scs_inference,[],[511,326])).
% 15.32/15.36 cnf(515,plain,
% 15.32/15.36 (~P3(a1,a4,a3)+~P3(a1,a2,a3)),
% 15.32/15.36 inference(scs_inference,[],[514,171])).
% 15.32/15.36 cnf(516,plain,
% 15.32/15.36 (P3(a1,a4,a2)+~P3(a1,a2,a3)),
% 15.32/15.37 inference(scs_inference,[],[515,144])).
% 15.32/15.37 cnf(527,plain,
% 15.32/15.37 (P3(a2,a3,a4)+~P3(a3,a2,a1)),
% 15.32/15.37 inference(scs_inference,[],[30,131])).
% 15.32/15.37 cnf(528,plain,
% 15.32/15.37 (~P3(a2,a1,a4)+~P3(a3,a2,a1)),
% 15.32/15.37 inference(scs_inference,[],[7,527,19])).
% 15.32/15.37 cnf(529,plain,
% 15.32/15.37 (P3(a2,a1,a3)+~P3(a3,a2,a1)),
% 15.32/15.37 inference(scs_inference,[],[528,223])).
% 15.32/15.37 cnf(530,plain,
% 15.32/15.37 (~P3(a3,a2,a1)+~P3(a1,a2,a3)),
% 15.32/15.37 inference(scs_inference,[],[529,129])).
% 15.32/15.37 cnf(531,plain,
% 15.32/15.37 (P3(a3,a2,a4)+~P3(a1,a2,a3)),
% 15.32/15.37 inference(scs_inference,[],[530,259])).
% 15.32/15.37 cnf(534,plain,
% 15.32/15.37 (~P3(a1,a2,a3)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[531,308])).
% 15.32/15.37 cnf(557,plain,
% 15.32/15.37 (P3(a4,a2,a3)+~P3(a2,a4,a1)),
% 15.32/15.37 inference(scs_inference,[],[30,212])).
% 15.32/15.37 cnf(563,plain,
% 15.32/15.37 (P3(a3,a2,a4)+~P3(a2,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[30,259])).
% 15.32/15.37 cnf(581,plain,
% 15.32/15.37 (~P3(a3,a2,a4)+P3(a3,a1,a2)),
% 15.32/15.37 inference(scs_inference,[],[6,50,19])).
% 15.32/15.37 cnf(582,plain,
% 15.32/15.37 (~P3(a3,a2,a4)+~P3(a1,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[581,228])).
% 15.32/15.37 cnf(583,plain,
% 15.32/15.37 (P3(a1,a3,a4)+~P3(a3,a2,a4)),
% 15.32/15.37 inference(scs_inference,[],[582,236])).
% 15.32/15.37 cnf(586,plain,
% 15.32/15.37 (~P3(a3,a2,a4)+~P3(a3,a1,a4)),
% 15.32/15.37 inference(scs_inference,[],[583,321])).
% 15.32/15.37 cnf(589,plain,
% 15.32/15.37 (P3(a3,a2,a1)+~P3(a3,a1,a4)),
% 15.32/15.37 inference(scs_inference,[],[586,259])).
% 15.32/15.37 cnf(592,plain,
% 15.32/15.37 (~P3(a3,a1,a4)+~P3(a2,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[589,30])).
% 15.32/15.37 cnf(593,plain,
% 15.32/15.37 (P3(a2,a3,a4)+~P3(a3,a1,a4)),
% 15.32/15.37 inference(scs_inference,[],[592,131])).
% 15.32/15.37 cnf(594,plain,
% 15.32/15.37 (~P3(a3,a1,a4)+~P3(a1,a2,a3)),
% 15.32/15.37 inference(scs_inference,[],[593,534])).
% 15.32/15.37 cnf(604,plain,
% 15.32/15.37 (P3(a2,a1,a4)+P3(a3,a1,a4)),
% 15.32/15.37 inference(scs_inference,[],[50,399])).
% 15.32/15.37 cnf(605,plain,
% 15.32/15.37 (P3(a3,a1,a4)+~P3(a3,a2,a1)),
% 15.32/15.37 inference(scs_inference,[],[604,528])).
% 15.32/15.37 cnf(606,plain,
% 15.32/15.37 (P3(a1,a3,a2)+~P3(a3,a2,a1)),
% 15.32/15.37 inference(scs_inference,[],[605,240])).
% 15.32/15.37 cnf(607,plain,
% 15.32/15.37 (~P3(a3,a2,a1)+~P3(a3,a1,a2)),
% 15.32/15.37 inference(scs_inference,[],[606,228])).
% 15.32/15.37 cnf(608,plain,
% 15.32/15.37 (P3(a3,a2,a4)+~P3(a3,a1,a2)),
% 15.32/15.37 inference(scs_inference,[],[607,259])).
% 15.32/15.37 cnf(611,plain,
% 15.32/15.37 (~P3(a3,a1,a2)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[608,308])).
% 15.32/15.37 cnf(630,plain,
% 15.32/15.37 (P3(a3,a2,a1)+P3(a3,a1,a2)),
% 15.32/15.37 inference(scs_inference,[],[50,589])).
% 15.32/15.37 cnf(631,plain,
% 15.32/15.37 (P3(a3,a1,a2)+~P3(a2,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[630,158])).
% 15.32/15.37 cnf(632,plain,
% 15.32/15.37 (~P3(a2,a3,a1)+~P3(a1,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[631,267])).
% 15.32/15.37 cnf(661,plain,
% 15.32/15.37 (~P3(a2,a1,a4)+P3(a3,a1,a2)),
% 15.32/15.37 inference(scs_inference,[],[13,50,20])).
% 15.32/15.37 cnf(664,plain,
% 15.32/15.37 (P3(a2,a1,a3)+P3(a3,a1,a2)),
% 15.32/15.37 inference(scs_inference,[],[661,223])).
% 15.32/15.37 cnf(665,plain,
% 15.32/15.37 (P3(a1,a2,a4)+P3(a3,a1,a2)),
% 15.32/15.37 inference(scs_inference,[],[664,266])).
% 15.32/15.37 cnf(668,plain,
% 15.32/15.37 (P3(a1,a2,a4)+P3(a4,a2,a1)),
% 15.32/15.37 inference(scs_inference,[],[665,481])).
% 15.32/15.37 cnf(671,plain,
% 15.32/15.37 (P3(a1,a2,a4)+P3(a2,a4,a3)),
% 15.32/15.37 inference(scs_inference,[],[668,503])).
% 15.32/15.37 cnf(686,plain,
% 15.32/15.37 (P3(a3,a1,a4)+~P3(a3,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[8,50,19])).
% 15.32/15.37 cnf(687,plain,
% 15.32/15.37 (~P3(a3,a4,a2)+~P3(a1,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[686,363])).
% 15.32/15.37 cnf(688,plain,
% 15.32/15.37 (~P3(a3,a2,a4)+~P3(a3,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[687,583])).
% 15.32/15.37 cnf(691,plain,
% 15.32/15.37 (~P3(a3,a4,a2)+~P3(a1,a2,a3)),
% 15.32/15.37 inference(scs_inference,[],[688,531])).
% 15.32/15.37 cnf(692,plain,
% 15.32/15.37 (P3(a3,a4,a1)+~P3(a1,a2,a3)),
% 15.32/15.37 inference(scs_inference,[],[691,206])).
% 15.32/15.37 cnf(695,plain,
% 15.32/15.37 (P3(a4,a3,a2)+~P3(a1,a2,a3)),
% 15.32/15.37 inference(scs_inference,[],[692,298])).
% 15.32/15.37 cnf(698,plain,
% 15.32/15.37 (~P3(a1,a2,a3)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[695,393])).
% 15.32/15.37 cnf(699,plain,
% 15.32/15.37 (P3(a1,a2,a4)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[698,65])).
% 15.32/15.37 cnf(700,plain,
% 15.32/15.37 (P3(a1,a3,a2)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[699,238])).
% 15.32/15.37 cnf(701,plain,
% 15.32/15.37 (~P3(a1,a3,a4)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[700,412])).
% 15.32/15.37 cnf(704,plain,
% 15.32/15.37 (P3(a3,a1,a4)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[701,294])).
% 15.32/15.37 cnf(705,plain,
% 15.32/15.37 (~P3(a3,a2,a4)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[704,586])).
% 15.32/15.37 cnf(708,plain,
% 15.32/15.37 (~P3(a2,a3,a1)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[705,563])).
% 15.32/15.37 cnf(711,plain,
% 15.32/15.37 (P3(a3,a2,a1)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[708,264])).
% 15.32/15.37 cnf(712,plain,
% 15.32/15.37 (P3(a2,a3,a4)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[711,527])).
% 15.32/15.37 cnf(713,plain,
% 15.32/15.37 (~P3(a3,a1,a2)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[712,611])).
% 15.32/15.37 cnf(714,plain,
% 15.32/15.37 (~P3(a2,a1,a4)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[713,661])).
% 15.32/15.37 cnf(717,plain,
% 15.32/15.37 (P3(a2,a1,a3)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[714,223])).
% 15.32/15.37 cnf(718,plain,
% 15.32/15.37 (~P3(a4,a1,a3)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[11,717,20])).
% 15.32/15.37 cnf(721,plain,
% 15.32/15.37 (P3(a4,a3,a2)+~P3(a4,a1,a3)),
% 15.32/15.37 inference(scs_inference,[],[718,247])).
% 15.32/15.37 cnf(724,plain,
% 15.32/15.37 (~P3(a4,a1,a3)+~P3(a3,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[721,334])).
% 15.32/15.37 cnf(725,plain,
% 15.32/15.37 (P3(a3,a4,a1)+~P3(a4,a1,a3)),
% 15.32/15.37 inference(scs_inference,[],[724,206])).
% 15.32/15.37 cnf(726,plain,
% 15.32/15.37 (~P3(a3,a2,a1)+~P3(a4,a1,a3)),
% 15.32/15.37 inference(scs_inference,[],[11,725,19])).
% 15.32/15.37 cnf(727,plain,
% 15.32/15.37 (~P3(a2,a3,a4)+~P3(a4,a1,a3)),
% 15.32/15.37 inference(scs_inference,[],[726,262])).
% 15.32/15.37 cnf(730,plain,
% 15.32/15.37 (~P3(a2,a4,a1)+~P3(a4,a1,a3)),
% 15.32/15.37 inference(scs_inference,[],[727,441])).
% 15.32/15.37 cnf(731,plain,
% 15.32/15.37 (P3(a2,a4,a3)+~P3(a4,a1,a3)),
% 15.32/15.37 inference(scs_inference,[],[730,202])).
% 15.32/15.37 cnf(732,plain,
% 15.32/15.37 (P3(a4,a2,a1)+~P3(a4,a1,a3)),
% 15.32/15.37 inference(scs_inference,[],[731,213])).
% 15.32/15.37 cnf(735,plain,
% 15.32/15.37 (~P3(a4,a2,a3)+~P3(a4,a1,a3)),
% 15.32/15.37 inference(scs_inference,[],[732,366])).
% 15.32/15.37 cnf(738,plain,
% 15.32/15.37 (~P3(a4,a2,a3)+~P3(a3,a4,a1)),
% 15.32/15.37 inference(scs_inference,[],[735,376])).
% 15.32/15.37 cnf(869,plain,
% 15.32/15.37 (P3(a1,a2,a4)+P3(a3,a2,a4)),
% 15.32/15.37 inference(scs_inference,[],[65,531])).
% 15.32/15.37 cnf(872,plain,
% 15.32/15.37 (P3(a1,a2,a4)+P3(a2,a1,a4)),
% 15.32/15.37 inference(scs_inference,[],[869,476])).
% 15.32/15.37 cnf(879,plain,
% 15.32/15.37 (P3(a1,a2,a4)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[65,534])).
% 15.32/15.37 cnf(880,plain,
% 15.32/15.37 (~P3(a2,a3,a4)+~P3(a2,a1,a4)),
% 15.32/15.37 inference(scs_inference,[],[879,363])).
% 15.32/15.37 cnf(886,plain,
% 15.32/15.37 (P3(a1,a2,a4)+~P3(a3,a1,a4)),
% 15.32/15.37 inference(scs_inference,[],[65,594])).
% 15.32/15.37 cnf(889,plain,
% 15.32/15.37 (P3(a2,a1,a3)+~P3(a3,a1,a4)),
% 15.32/15.37 inference(scs_inference,[],[886,225])).
% 15.32/15.37 cnf(890,plain,
% 15.32/15.37 (~P3(a2,a1,a4)+~P3(a3,a1,a4)),
% 15.32/15.37 inference(scs_inference,[],[889,80])).
% 15.32/15.37 cnf(893,plain,
% 15.32/15.37 (~P3(a2,a1,a4)+~P3(a1,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[890,160])).
% 15.32/15.37 cnf(894,plain,
% 15.32/15.37 (~P3(a2,a1,a4)+P3(a1,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[893,236])).
% 15.32/15.37 cnf(895,plain,
% 15.32/15.37 (P3(a1,a2,a4)+P3(a1,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[894,872])).
% 15.32/15.37 cnf(896,plain,
% 15.32/15.37 (P3(a3,a2,a1)+P3(a1,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[895,307])).
% 15.32/15.37 cnf(899,plain,
% 15.32/15.37 (P3(a2,a1,a3)+P3(a1,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[896,529])).
% 15.32/15.37 cnf(902,plain,
% 15.32/15.37 (~P3(a2,a4,a3)+P3(a1,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[15,899,19])).
% 15.32/15.37 cnf(903,plain,
% 15.32/15.37 (~P3(a2,a1,a3)+~P3(a2,a4,a3)),
% 15.32/15.37 inference(scs_inference,[],[902,384])).
% 15.32/15.37 cnf(1050,plain,
% 15.32/15.37 (P3(a2,a3,a4)+P3(a4,a2,a1)),
% 15.32/15.37 inference(scs_inference,[],[131,284])).
% 15.32/15.37 cnf(1051,plain,
% 15.32/15.37 (P3(a2,a3,a4)+~P3(a1,a4,a3)),
% 15.32/15.37 inference(scs_inference,[],[1050,279])).
% 15.32/15.37 cnf(1072,plain,
% 15.32/15.37 (P3(a2,a3,a4)+P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[131,403])).
% 15.32/15.37 cnf(1075,plain,
% 15.32/15.37 (P3(a2,a3,a4)+P3(a4,a1,a3)),
% 15.32/15.37 inference(scs_inference,[],[1072,273])).
% 15.32/15.37 cnf(1081,plain,
% 15.32/15.37 (P3(a2,a3,a1)+P3(a1,a2,a4)),
% 15.32/15.37 inference(scs_inference,[],[131,879])).
% 15.32/15.37 cnf(1082,plain,
% 15.32/15.37 (P3(a2,a3,a1)+P3(a2,a1,a3)),
% 15.32/15.37 inference(scs_inference,[],[1081,225])).
% 15.32/15.37 cnf(1085,plain,
% 15.32/15.37 (P3(a2,a3,a1)+~P3(a2,a4,a3)),
% 15.32/15.37 inference(scs_inference,[],[1082,903])).
% 15.32/15.37 cnf(1088,plain,
% 15.32/15.37 (~P3(a2,a4,a3)+~P3(a3,a2,a1)),
% 15.32/15.37 inference(scs_inference,[],[1085,30])).
% 15.32/15.37 cnf(1089,plain,
% 15.32/15.37 (P3(a3,a2,a4)+~P3(a2,a4,a3)),
% 15.32/15.37 inference(scs_inference,[],[1088,259])).
% 15.32/15.37 cnf(1130,plain,
% 15.32/15.37 (P3(a1,a4,a3)+P3(a4,a1,a3)),
% 15.32/15.37 inference(scs_inference,[],[144,273])).
% 15.32/15.37 cnf(1133,plain,
% 15.32/15.37 (P3(a1,a4,a3)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[1130,718])).
% 15.32/15.37 cnf(1134,plain,
% 15.32/15.37 (P3(a4,a1,a2)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[1133,171])).
% 15.32/15.37 cnf(1137,plain,
% 15.32/15.37 (~P3(a4,a3,a1)+~P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1134,228])).
% 15.32/15.37 cnf(1138,plain,
% 15.32/15.37 (P3(a4,a3,a2)+~P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1137,247])).
% 15.32/15.37 cnf(1141,plain,
% 15.32/15.37 (~P3(a1,a4,a2)+~P3(a3,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1138,267])).
% 15.32/15.37 cnf(1142,plain,
% 15.32/15.37 (P3(a3,a4,a1)+~P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1141,206])).
% 15.32/15.37 cnf(1143,plain,
% 15.32/15.37 (~P3(a4,a2,a3)+~P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1142,738])).
% 15.32/15.37 cnf(1146,plain,
% 15.32/15.37 (P3(a4,a2,a1)+~P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1143,212])).
% 15.32/15.37 cnf(1147,plain,
% 15.32/15.37 (~P3(a1,a4,a2)+~P3(a2,a4,a1)),
% 15.32/15.37 inference(scs_inference,[],[1146,30])).
% 15.32/15.37 cnf(1150,plain,
% 15.32/15.37 (P3(a2,a4,a3)+~P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1147,202])).
% 15.32/15.37 cnf(1151,plain,
% 15.32/15.37 (P3(a1,a3,a4)+~P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1150,902])).
% 15.32/15.37 cnf(1154,plain,
% 15.32/15.37 (~P3(a1,a4,a2)+~P3(a3,a1,a4)),
% 15.32/15.37 inference(scs_inference,[],[1151,321])).
% 15.32/15.37 cnf(1155,plain,
% 15.32/15.37 (P3(a3,a1,a2)+~P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1154,50])).
% 15.32/15.37 cnf(1156,plain,
% 15.32/15.37 (~P3(a1,a2,a4)+~P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1155,297])).
% 15.32/15.37 cnf(1159,plain,
% 15.32/15.37 (P3(a1,a2,a3)+~P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1156,65])).
% 15.32/15.37 cnf(1160,plain,
% 15.32/15.37 (~P3(a1,a4,a2)+~P3(a2,a1,a3)),
% 15.32/15.37 inference(scs_inference,[],[1159,129])).
% 15.32/15.37 cnf(1163,plain,
% 15.32/15.37 (P3(a2,a1,a4)+~P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1160,223])).
% 15.32/15.37 cnf(1164,plain,
% 15.32/15.37 (~P3(a3,a2,a1)+~P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1163,528])).
% 15.32/15.37 cnf(1167,plain,
% 15.32/15.37 (P3(a3,a2,a4)+~P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1164,259])).
% 15.32/15.37 cnf(1168,plain,
% 15.32/15.37 (~P3(a1,a4,a2)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1167,308])).
% 15.32/15.37 cnf(1169,plain,
% 15.32/15.37 (P3(a2,a3,a1)+~P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1168,131])).
% 15.32/15.37 cnf(1172,plain,
% 15.32/15.37 (~P3(a1,a3,a2)+~P3(a1,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1169,632])).
% 15.32/15.37 cnf(1173,plain,
% 15.32/15.37 (~P3(a1,a3,a2)+P3(a4,a1,a2)),
% 15.32/15.37 inference(scs_inference,[],[1172,173])).
% 15.32/15.37 cnf(1176,plain,
% 15.32/15.37 (~P3(a1,a3,a2)+P3(a1,a4,a3)),
% 15.32/15.37 inference(scs_inference,[],[1173,231])).
% 15.32/15.37 cnf(1177,plain,
% 15.32/15.37 (~P3(a1,a3,a2)+~P3(a4,a2,a1)),
% 15.32/15.37 inference(scs_inference,[],[1176,279])).
% 15.32/15.37 cnf(1180,plain,
% 15.32/15.37 (P3(a1,a3,a4)+~P3(a4,a2,a1)),
% 15.32/15.37 inference(scs_inference,[],[1177,236])).
% 15.32/15.37 cnf(1181,plain,
% 15.32/15.37 (~P3(a4,a2,a1)+~P3(a3,a1,a4)),
% 15.32/15.37 inference(scs_inference,[],[1180,363])).
% 15.32/15.37 cnf(1182,plain,
% 15.32/15.37 (P3(a2,a4,a1)+~P3(a3,a1,a4)),
% 15.32/15.37 inference(scs_inference,[],[1181,215])).
% 15.32/15.37 cnf(1185,plain,
% 15.32/15.37 (P3(a4,a2,a3)+~P3(a3,a1,a4)),
% 15.32/15.37 inference(scs_inference,[],[1182,557])).
% 15.32/15.37 cnf(1236,plain,
% 15.32/15.37 (P3(a1,a4,a3)+~P3(a4,a2,a3)),
% 15.32/15.37 inference(scs_inference,[],[144,1143])).
% 15.32/15.37 cnf(1239,plain,
% 15.32/15.37 (P3(a4,a1,a2)+~P3(a4,a2,a3)),
% 15.32/15.37 inference(scs_inference,[],[1236,171])).
% 15.32/15.37 cnf(1258,plain,
% 15.32/15.37 (P3(a1,a4,a3)+P3(a1,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[144,1151])).
% 15.32/15.37 cnf(1261,plain,
% 15.32/15.37 (P3(a2,a4,a1)+P3(a1,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1258,204])).
% 15.32/15.37 cnf(1262,plain,
% 15.32/15.37 (P3(a4,a2,a3)+P3(a1,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1261,557])).
% 15.32/15.37 cnf(1263,plain,
% 15.32/15.37 (P3(a4,a1,a2)+P3(a1,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1262,1239])).
% 15.32/15.37 cnf(1266,plain,
% 15.32/15.37 (~P3(a4,a3,a2)+P3(a1,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[12,1263,19])).
% 15.32/15.37 cnf(1267,plain,
% 15.32/15.37 (~P3(a2,a1,a3)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1266,384])).
% 15.32/15.37 cnf(1268,plain,
% 15.32/15.37 (~P3(a3,a2,a1)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1267,529])).
% 15.32/15.37 cnf(1271,plain,
% 15.32/15.37 (P3(a2,a3,a1)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1268,264])).
% 15.32/15.37 cnf(1274,plain,
% 15.32/15.37 (P3(a4,a2,a1)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1271,284])).
% 15.32/15.37 cnf(1275,plain,
% 15.32/15.37 (~P3(a4,a2,a3)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1274,366])).
% 15.32/15.37 cnf(1276,plain,
% 15.32/15.37 (~P3(a3,a1,a4)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1275,1185])).
% 15.32/15.37 cnf(1279,plain,
% 15.32/15.37 (~P3(a2,a4,a1)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1276,430])).
% 15.32/15.37 cnf(1280,plain,
% 15.32/15.37 (~P3(a4,a1,a2)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1279,511])).
% 15.32/15.37 cnf(1281,plain,
% 15.32/15.37 (P3(a4,a1,a3)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1280,166])).
% 15.32/15.37 cnf(1284,plain,
% 15.32/15.37 (~P3(a4,a3,a2)+~P3(a1,a4,a3)),
% 15.32/15.37 inference(scs_inference,[],[1281,295])).
% 15.32/15.37 cnf(1287,plain,
% 15.32/15.37 (~P3(a1,a3,a2)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1284,1176])).
% 15.32/15.37 cnf(1288,plain,
% 15.32/15.37 (P3(a3,a1,a2)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1287,265])).
% 15.32/15.37 cnf(1289,plain,
% 15.32/15.37 (P3(a1,a2,a3)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1288,338])).
% 15.32/15.37 cnf(1292,plain,
% 15.32/15.37 (P3(a1,a4,a2)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1289,516])).
% 15.32/15.37 cnf(1293,plain,
% 15.32/15.37 (~P3(a1,a2,a4)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1292,1156])).
% 15.32/15.37 cnf(1294,plain,
% 15.32/15.37 (P3(a2,a4,a3)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1293,671])).
% 15.32/15.37 cnf(1297,plain,
% 15.32/15.37 (P3(a3,a2,a4)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1294,1089])).
% 15.32/15.37 cnf(1300,plain,
% 15.32/15.37 (P3(a2,a1,a4)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1297,476])).
% 15.32/15.37 cnf(1301,plain,
% 15.32/15.37 (~P3(a2,a3,a4)+~P3(a4,a3,a2)),
% 15.32/15.37 inference(scs_inference,[],[1300,880])).
% 15.32/15.37 cnf(1302,plain,
% 15.32/15.37 (P3(a4,a3,a1)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1301,247])).
% 15.32/15.37 cnf(1361,plain,
% 15.32/15.37 (P3(a3,a4,a2)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[158,206])).
% 15.32/15.37 cnf(1490,plain,
% 15.32/15.37 (P3(a2,a4,a3)+P3(a2,a1,a3)),
% 15.32/15.37 inference(scs_inference,[],[202,388])).
% 15.32/15.37 cnf(1491,plain,
% 15.32/15.37 (P3(a2,a4,a3)+P3(a1,a2,a3)+P3(a3,a4,a1)),
% 15.32/15.37 inference(scs_inference,[],[1490,68])).
% 15.32/15.37 cnf(1494,plain,
% 15.32/15.37 (P3(a1,a2,a3)+P3(a2,a4,a3)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[1491,158])).
% 15.32/15.37 cnf(1495,plain,
% 15.32/15.37 (P3(a1,a2,a3)+P3(a4,a2,a1)+~P3(a4,a3,a1)),
% 15.32/15.37 inference(scs_inference,[],[1494,213])).
% 15.32/15.37 cnf(1498,plain,
% 15.32/15.37 (P3(a1,a2,a3)+~P3(a4,a3,a1)+~P3(a2,a4,a1)),
% 15.32/15.37 inference(scs_inference,[],[1495,30])).
% 15.32/15.37 cnf(1501,plain,
% 15.32/15.37 (~P3(a4,a3,a1)+~P3(a2,a4,a1)+~P3(a2,a1,a3)),
% 15.32/15.37 inference(scs_inference,[],[1498,129])).
% 15.32/15.37 cnf(1502,plain,
% 15.32/15.37 (P3(a2,a1,a4)+~P3(a4,a3,a1)+~P3(a2,a4,a1)),
% 15.32/15.37 inference(scs_inference,[],[1501,223])).
% 15.32/15.37 cnf(1503,plain,
% 15.32/15.37 (~P3(a4,a3,a1)+~P3(a2,a4,a1)+~P3(a1,a2,a4)),
% 15.32/15.37 inference(scs_inference,[],[1502,308])).
% 15.32/15.37 cnf(1504,plain,
% 15.32/15.37 (P3(a4,a3,a2)+~P3(a2,a4,a1)+~P3(a1,a2,a4)),
% 15.32/15.37 inference(scs_inference,[],[1503,247])).
% 15.32/15.37 cnf(1507,plain,
% 15.32/15.37 (~P3(a2,a4,a1)+~P3(a1,a2,a4)+~P3(a3,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1504,267])).
% 15.32/15.37 cnf(1508,plain,
% 15.32/15.37 (~P3(a1,a4,a3)+~P3(a3,a4,a2)+~P3(a1,a2,a4)),
% 15.32/15.37 inference(scs_inference,[],[1507,204])).
% 15.32/15.37 cnf(1511,plain,
% 15.32/15.37 (P3(a1,a4,a2)+~P3(a3,a4,a2)+~P3(a1,a2,a4)),
% 15.32/15.37 inference(scs_inference,[],[1508,144])).
% 15.32/15.37 cnf(1514,plain,
% 15.32/15.37 (~P3(a3,a4,a2)+~P3(a1,a2,a4)+~P3(a4,a1,a2)),
% 15.32/15.37 inference(scs_inference,[],[1511,228])).
% 15.32/15.37 cnf(1515,plain,
% 15.32/15.37 (P3(a4,a1,a3)+~P3(a3,a4,a2)+~P3(a1,a2,a4)),
% 15.32/15.37 inference(scs_inference,[],[1514,166])).
% 15.32/15.37 cnf(1516,plain,
% 15.32/15.37 (~P3(a4,a3,a1)+~P3(a3,a4,a2)+~P3(a1,a2,a4)),
% 15.32/15.37 inference(scs_inference,[],[1515,718])).
% 15.32/15.37 cnf(1517,plain,
% 15.32/15.37 (~P3(a3,a4,a2)+~P3(a1,a2,a4)),
% 15.32/15.37 inference(scs_inference,[],[1516,249])).
% 15.32/15.37 cnf(1520,plain,
% 15.32/15.37 (P3(a3,a4,a1)+~P3(a1,a2,a4)),
% 15.32/15.37 inference(scs_inference,[],[1517,206])).
% 15.32/15.37 cnf(1521,plain,
% 15.32/15.37 (P3(a4,a3,a2)+~P3(a1,a2,a4)),
% 15.32/15.37 inference(scs_inference,[],[1520,298])).
% 15.32/15.37 cnf(1524,plain,
% 15.32/15.37 (~P3(a4,a3,a1)+~P3(a1,a2,a4)),
% 15.32/15.37 inference(scs_inference,[],[1521,393])).
% 15.32/15.37 cnf(1527,plain,
% 15.32/15.37 (~P3(a1,a2,a4)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1524,1302])).
% 15.32/15.37 cnf(1528,plain,
% 15.32/15.37 (P3(a1,a2,a3)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1527,65])).
% 15.32/15.37 cnf(1529,plain,
% 15.32/15.37 (P3(a4,a2,a1)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1528,280])).
% 15.32/15.37 cnf(1530,plain,
% 15.32/15.37 (~P3(a1,a4,a3)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1529,279])).
% 15.32/15.37 cnf(1533,plain,
% 15.32/15.37 (~P3(a4,a1,a2)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1530,231])).
% 15.32/15.37 cnf(1534,plain,
% 15.32/15.37 (P3(a1,a4,a2)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1533,173])).
% 15.32/15.37 cnf(1537,plain,
% 15.32/15.37 (P3(a4,a1,a3)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1534,273])).
% 15.32/15.37 cnf(1540,plain,
% 15.32/15.37 (P3(a4,a3,a2)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1537,721])).
% 15.32/15.37 cnf(1541,plain,
% 15.32/15.37 (~P3(a2,a3,a4)+~P3(a3,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1540,334])).
% 15.32/15.37 cnf(1542,plain,
% 15.32/15.37 (~P3(a4,a3,a1)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1541,1361])).
% 15.32/15.37 cnf(1543,plain,
% 15.32/15.37 (P3(a3,a4,a1)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1542,251])).
% 15.32/15.37 cnf(1546,plain,
% 15.32/15.37 (~P3(a4,a2,a3)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1543,738])).
% 15.32/15.37 cnf(1547,plain,
% 15.32/15.37 (~P3(a2,a4,a1)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1546,557])).
% 15.32/15.37 cnf(1550,plain,
% 15.32/15.37 (~P3(a3,a1,a4)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1547,1182])).
% 15.32/15.37 cnf(1553,plain,
% 15.32/15.37 (P3(a3,a1,a2)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1550,50])).
% 15.32/15.37 cnf(1554,plain,
% 15.32/15.37 (P3(a1,a3,a4)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1553,320])).
% 15.32/15.37 cnf(1555,plain,
% 15.32/15.37 (~P3(a2,a1,a3)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1554,384])).
% 15.32/15.37 cnf(1556,plain,
% 15.32/15.37 (~P3(a3,a2,a1)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1555,529])).
% 15.32/15.37 cnf(1559,plain,
% 15.32/15.37 (P3(a3,a2,a4)+~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1556,259])).
% 15.32/15.37 cnf(1560,plain,
% 15.32/15.37 (~P3(a2,a3,a4)),
% 15.32/15.37 inference(scs_inference,[],[1559,321])).
% 15.32/15.37 cnf(1573,plain,
% 15.32/15.37 (~P3(a1,a4,a3)),
% 15.32/15.37 inference(scs_inference,[],[1560,1051])).
% 15.32/15.37 cnf(1578,plain,
% 15.32/15.37 (P3(a4,a1,a3)),
% 15.32/15.37 inference(scs_inference,[],[1560,1075])).
% 15.32/15.37 cnf(1584,plain,
% 15.32/15.37 (~P3(a4,x15841,a3)+~P3(x15841,a4,a2)),
% 15.32/15.37 inference(scs_inference,[],[1560,21])).
% 15.32/15.37 cnf(2027,plain,
% 15.32/15.37 ($false),
% 15.32/15.37 inference(scs_inference,[],[1578,47,1573,4,1,135,1584,22]),
% 15.32/15.37 ['proof']).
% 15.32/15.37 % SZS output end Proof
% 15.32/15.37 % Total time :14.700000s
%------------------------------------------------------------------------------