TSTP Solution File: PUZ030-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 13:10:58 EDT 2023
% Result : Unsatisfiable 66.39s 66.49s
% Output : CNFRefutation 66.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 21:54:30 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 66.39/66.47 %-------------------------------------------
% 66.39/66.47 % File :CSE---1.6
% 66.39/66.47 % Problem :theBenchmark
% 66.39/66.47 % Transform :cnf
% 66.39/66.47 % Format :tptp:raw
% 66.39/66.47 % Command :java -jar mcs_scs.jar %d %s
% 66.39/66.48
% 66.39/66.48 % Result :Theorem 65.790000s
% 66.39/66.48 % Output :CNFRefutation 65.790000s
% 66.39/66.48 %-------------------------------------------
% 66.39/66.48 %--------------------------------------------------------------------------
% 66.39/66.48 % File : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% 66.39/66.48 % Domain : Puzzles
% 66.39/66.48 % Problem : Salt and Mustard Problem
% 66.39/66.48 % Version : Especial.
% 66.39/66.48 % English :
% 66.39/66.48
% 66.39/66.48 % Refs : [LO85] Lusk & Overbeek (1985), Non-Horn Problems
% 66.39/66.48 % : [Car86] Carroll (1986), Lewis Carroll's Symbolic Logic
% 66.39/66.48 % : [MB88] Manthey & Bry (1988), SATCHMO: A Theorem Prover Implem
% 66.39/66.48 % Source : [LO85]
% 66.39/66.48 % Names : Salt and Mustard Problem [LO85]
% 66.39/66.48 % : Salt-and-Mustard Problem [MB88]
% 66.39/66.48
% 66.39/66.48 % Status : Unsatisfiable
% 66.39/66.48 % Rating : 0.00 v5.5.0, 0.20 v5.4.0, 0.00 v2.2.0, 0.25 v2.1.0, 0.00 v2.0.0
% 66.39/66.48 % Syntax : Number of clauses : 43 ( 0 unt; 13 nHn; 41 RR)
% 66.39/66.48 % Number of literals : 106 ( 0 equ; 55 neg)
% 66.39/66.48 % Maximal clause size : 7 ( 2 avg)
% 66.39/66.48 % Maximal term depth : 1 ( 1 avg)
% 66.39/66.48 % Number of predicates : 5 ( 5 usr; 0 prp; 1-1 aty)
% 66.39/66.48 % Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% 66.39/66.48 % Number of variables : 12 ( 0 sgn)
% 66.39/66.48 % SPC : CNF_UNS_EPR_NEQ_NHN
% 66.39/66.48
% 66.39/66.48 % Comments :
% 66.39/66.48 %--------------------------------------------------------------------------
% 66.39/66.48 cnf(both1,axiom,
% 66.39/66.48 ( ~ both(X)
% 66.39/66.48 | salt(X) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(both2,axiom,
% 66.39/66.48 ( ~ both(X)
% 66.39/66.48 | mustard(X) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(both3,axiom,
% 66.39/66.48 ( ~ salt(X)
% 66.39/66.48 | ~ mustard(X)
% 66.39/66.48 | both(X) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(oneof1,axiom,
% 66.39/66.48 ( ~ oneof(X)
% 66.39/66.48 | salt(X)
% 66.39/66.48 | mustard(X) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(oneof2,axiom,
% 66.39/66.48 ( ~ oneof(X)
% 66.39/66.48 | ~ both(X) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(oneof3,axiom,
% 66.39/66.48 ( ~ oneof(X)
% 66.39/66.48 | ~ neither(X) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(one_condition_holds1,axiom,
% 66.39/66.48 ( both(X)
% 66.39/66.48 | neither(X)
% 66.39/66.48 | oneof(X) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(oneof4,axiom,
% 66.39/66.48 ( ~ oneof(X)
% 66.39/66.48 | ~ salt(X)
% 66.39/66.48 | ~ mustard(X) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(neither1,axiom,
% 66.39/66.48 ( ~ both(X)
% 66.39/66.48 | ~ neither(X) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(neither2,axiom,
% 66.39/66.48 ( ~ neither(X)
% 66.39/66.48 | ~ salt(X) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(neither3,axiom,
% 66.39/66.48 ( ~ neither(X)
% 66.39/66.48 | ~ mustard(X) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(neither4,axiom,
% 66.39/66.48 ( salt(X)
% 66.39/66.48 | mustard(X)
% 66.39/66.48 | neither(X) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(rule1_1,hypothesis,
% 66.39/66.48 ( ~ salt(barry)
% 66.39/66.48 | oneof(cole)
% 66.39/66.48 | oneof(lang) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(rule1_2,hypothesis,
% 66.39/66.48 ( ~ oneof(cole)
% 66.39/66.48 | salt(barry) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(rule1_3,hypothesis,
% 66.39/66.48 ( ~ oneof(lang)
% 66.39/66.48 | salt(barry) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(rule2_1,hypothesis,
% 66.39/66.48 ( ~ mustard(barry)
% 66.39/66.48 | neither(dix)
% 66.39/66.48 | both(mill) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(rule2_2,hypothesis,
% 66.39/66.48 ( ~ neither(dix)
% 66.39/66.48 | mustard(barry) ) ).
% 66.39/66.48
% 66.39/66.48 cnf(rule2_3,hypothesis,
% 66.39/66.49 ( ~ both(mill)
% 66.39/66.49 | mustard(barry) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule3_1,hypothesis,
% 66.39/66.49 ( ~ salt(cole)
% 66.39/66.49 | oneof(barry)
% 66.39/66.49 | neither(mill) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule3_2,hypothesis,
% 66.39/66.49 ( ~ oneof(barry)
% 66.39/66.49 | salt(cole) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule3_3,hypothesis,
% 66.39/66.49 ( ~ neither(mill)
% 66.39/66.49 | salt(cole) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule4_1,hypothesis,
% 66.39/66.49 ( ~ mustard(cole)
% 66.39/66.49 | both(dix)
% 66.39/66.49 | both(lang) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule4_2,hypothesis,
% 66.39/66.49 ( ~ both(dix)
% 66.39/66.49 | mustard(cole) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule4_3,hypothesis,
% 66.39/66.49 ( ~ both(lang)
% 66.39/66.49 | mustard(cole) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule5_1,hypothesis,
% 66.39/66.49 ( ~ salt(dix)
% 66.39/66.49 | neither(barry)
% 66.39/66.49 | both(cole) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule5_2,hypothesis,
% 66.39/66.49 ( ~ neither(barry)
% 66.39/66.49 | salt(dix) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule5_3,hypothesis,
% 66.39/66.49 ( ~ both(cole)
% 66.39/66.49 | salt(dix) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule6_1,hypothesis,
% 66.39/66.49 ( ~ mustard(dix)
% 66.39/66.49 | neither(lang)
% 66.39/66.49 | neither(mill) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule6_2,hypothesis,
% 66.39/66.49 ( ~ neither(lang)
% 66.39/66.49 | mustard(dix) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule6_3,hypothesis,
% 66.39/66.49 ( ~ neither(mill)
% 66.39/66.49 | mustard(dix) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule7_1,hypothesis,
% 66.39/66.49 ( ~ salt(lang)
% 66.39/66.49 | oneof(barry)
% 66.39/66.49 | oneof(dix) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule7_2,hypothesis,
% 66.39/66.49 ( ~ oneof(barry)
% 66.39/66.49 | salt(lang) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule7_3,hypothesis,
% 66.39/66.49 ( ~ oneof(dix)
% 66.39/66.49 | salt(lang) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule8_1,hypothesis,
% 66.39/66.49 ( ~ mustard(lang)
% 66.39/66.49 | neither(cole)
% 66.39/66.49 | neither(mill) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule8_2,hypothesis,
% 66.39/66.49 ( ~ neither(cole)
% 66.39/66.49 | mustard(lang) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule8_3,hypothesis,
% 66.39/66.49 ( ~ neither(mill)
% 66.39/66.49 | mustard(lang) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule9_1,hypothesis,
% 66.39/66.49 ( ~ salt(mill)
% 66.39/66.49 | both(barry)
% 66.39/66.49 | both(lang) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule9_2,hypothesis,
% 66.39/66.49 ( ~ both(barry)
% 66.39/66.49 | salt(mill) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule9_3,hypothesis,
% 66.39/66.49 ( ~ both(lang)
% 66.39/66.49 | mustard(mill) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule10_1,hypothesis,
% 66.39/66.49 ( ~ mustard(mill)
% 66.39/66.49 | oneof(cole)
% 66.39/66.49 | oneof(dix) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule10_2,hypothesis,
% 66.39/66.49 ( ~ oneof(cole)
% 66.39/66.49 | mustard(mill) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(rule10_3,hypothesis,
% 66.39/66.49 ( ~ oneof(dix)
% 66.39/66.49 | mustard(mill) ) ).
% 66.39/66.49
% 66.39/66.49 cnf(prove_who_takes_what,negated_conjecture,
% 66.39/66.49 ( ~ neither(cole)
% 66.39/66.49 | ~ neither(dix)
% 66.39/66.49 | ~ both(barry)
% 66.39/66.49 | ~ oneof(lang)
% 66.39/66.49 | ~ salt(mill)
% 66.39/66.49 | ~ mustard(lang)
% 66.39/66.49 | ~ oneof(mill) ) ).
% 66.39/66.49
% 66.39/66.49 %--------------------------------------------------------------------------
% 66.39/66.49 %-------------------------------------------
% 66.39/66.49 % Proof found
% 66.39/66.49 % SZS status Theorem for theBenchmark
% 66.39/66.49 % SZS output start Proof
% 66.39/66.49 %ClaNum:43(EqnAxiom:0)
% 66.39/66.49 %VarNum:29(SingletonVarNum:12)
% 66.39/66.49 %MaxLitNum:7
% 66.39/66.49 %MaxfuncDepth:0
% 66.39/66.49 %SharedTerms:54
% 66.39/66.49 %goalClause: 43
% 66.39/66.49 [1]P1(a1)+~P2(a2)
% 66.39/66.49 [2]P1(a1)+~P2(a3)
% 66.39/66.49 [3]P1(a2)+~P2(a1)
% 66.39/66.49 [4]P1(a2)+~P3(a5)
% 66.39/66.49 [5]P1(a3)+~P2(a1)
% 66.39/66.49 [6]P1(a3)+~P2(a4)
% 66.39/66.49 [7]P1(a4)+~P4(a2)
% 66.39/66.49 [8]P1(a4)+~P3(a1)
% 66.39/66.49 [9]P1(a5)+~P4(a1)
% 66.39/66.49 [10]P5(a1)+~P4(a5)
% 66.39/66.49 [11]P5(a1)+~P3(a4)
% 66.39/66.49 [12]P5(a2)+~P4(a3)
% 66.39/66.49 [13]P5(a2)+~P4(a4)
% 66.39/66.49 [14]P5(a3)+~P3(a2)
% 66.39/66.49 [15]P5(a3)+~P3(a5)
% 66.39/66.49 [16]P5(a4)+~P3(a3)
% 66.39/66.49 [17]P5(a4)+~P3(a5)
% 66.39/66.49 [18]P5(a5)+~P4(a3)
% 66.39/66.49 [19]P5(a5)+~P2(a2)
% 66.39/66.49 [20]P5(a5)+~P2(a4)
% 66.39/66.49 [31]~P4(x311)+P1(x311)
% 66.39/66.49 [32]~P4(x321)+P5(x321)
% 66.39/66.49 [35]~P2(x351)+~P4(x351)
% 66.39/66.49 [36]~P3(x361)+~P4(x361)
% 66.39/66.49 [37]~P3(x371)+~P1(x371)
% 66.39/66.49 [38]~P3(x381)+~P5(x381)
% 66.39/66.49 [39]~P3(x391)+~P2(x391)
% 66.39/66.49 [21]P4(a1)+P4(a3)+~P1(a5)
% 66.39/66.49 [22]P4(a2)+P3(a1)+~P1(a4)
% 66.39/66.49 [23]P4(a3)+P4(a4)+~P5(a2)
% 66.39/66.49 [24]P4(a5)+P3(a4)+~P5(a1)
% 66.39/66.49 [25]P2(a1)+P2(a4)+~P1(a3)
% 66.39/66.49 [26]P2(a1)+P3(a5)+~P1(a2)
% 66.39/66.49 [27]P2(a2)+P2(a3)+~P1(a1)
% 66.39/66.49 [28]P2(a2)+P2(a4)+~P5(a5)
% 66.39/66.49 [29]P3(a2)+P3(a5)+~P5(a3)
% 66.39/66.49 [30]P3(a3)+P3(a5)+~P5(a4)
% 66.39/66.49 [33]P2(x331)+P3(x331)+P4(x331)
% 66.39/66.49 [34]P5(x341)+P3(x341)+P1(x341)
% 66.39/66.49 [40]P5(x401)+~P2(x401)+P1(x401)
% 66.39/66.49 [41]~P1(x411)+~P5(x411)+P4(x411)
% 66.39/66.49 [42]~P5(x421)+~P2(x421)+~P1(x421)
% 66.39/66.49 [43]~P4(a1)+~P1(a5)+~P5(a3)+~P2(a3)+~P2(a5)+~P3(a2)+~P3(a4)
% 66.39/66.49 %EqnAxiom
% 66.39/66.49
% 66.39/66.49 %-------------------------------------------
% 66.39/66.49 cnf(44,plain,
% 66.39/66.49 (~P3(a1)+~P2(a2)),
% 66.39/66.49 inference(scs_inference,[],[1,37])).
% 66.39/66.49 cnf(48,plain,
% 66.39/66.49 (~P3(a3)+~P2(a1)),
% 66.39/66.49 inference(scs_inference,[],[5,37])).
% 66.39/66.49 cnf(49,plain,
% 66.39/66.49 (~P3(a3)+~P2(a4)),
% 66.39/66.49 inference(scs_inference,[],[6,37])).
% 66.39/66.49 cnf(52,plain,
% 66.39/66.49 (~P3(a5)+~P4(a1)),
% 66.39/66.49 inference(scs_inference,[],[9,37])).
% 66.39/66.49 cnf(55,plain,
% 66.39/66.49 (~P3(a2)+~P4(a3)),
% 66.39/66.49 inference(scs_inference,[],[12,38])).
% 66.39/66.49 cnf(56,plain,
% 66.39/66.49 (~P3(a2)+~P4(a4)),
% 66.39/66.49 inference(scs_inference,[],[13,38])).
% 66.39/66.49 cnf(57,plain,
% 66.39/66.49 (~P3(a3)+~P3(a2)),
% 66.39/66.49 inference(scs_inference,[],[14,38])).
% 66.39/66.49 cnf(59,plain,
% 66.39/66.49 (~P3(a4)+~P3(a3)),
% 66.39/66.49 inference(scs_inference,[],[16,38])).
% 66.39/66.49 cnf(62,plain,
% 66.39/66.49 (~P3(a5)+~P2(a2)),
% 66.39/66.49 inference(scs_inference,[],[19,38])).
% 66.39/66.49 cnf(63,plain,
% 66.39/66.49 (~P3(a5)+~P2(a4)),
% 66.39/66.49 inference(scs_inference,[],[20,38])).
% 66.39/66.49 cnf(65,plain,
% 66.39/66.49 (~P4(a2)+P4(a3)+P4(a4)),
% 66.39/66.49 inference(scs_inference,[],[32,23])).
% 66.39/66.49 cnf(66,plain,
% 66.39/66.49 (~P2(a2)+P3(a1)+~P1(a4)),
% 66.39/66.49 inference(scs_inference,[],[35,22])).
% 66.39/66.49 cnf(69,plain,
% 66.39/66.49 (~P2(a2)+~P1(a4)),
% 66.39/66.49 inference(scs_inference,[],[44,66])).
% 66.39/66.49 cnf(73,plain,
% 66.39/66.49 (~P2(a1)+P3(a5)+~P5(a4)),
% 66.39/66.49 inference(scs_inference,[],[48,30])).
% 66.39/66.49 cnf(74,plain,
% 66.39/66.49 (~P2(a4)+P3(a5)+~P5(a4)),
% 66.39/66.49 inference(scs_inference,[],[49,30])).
% 66.39/66.49 cnf(77,plain,
% 66.39/66.49 (~P4(a1)+P2(a1)+~P1(a2)),
% 66.39/66.49 inference(scs_inference,[],[52,26])).
% 66.39/66.49 cnf(79,plain,
% 66.39/66.49 (~P4(a3)+P3(a5)+~P5(a3)),
% 66.39/66.49 inference(scs_inference,[],[55,29])).
% 66.39/66.49 cnf(80,plain,
% 66.39/66.49 (P4(a2)+P2(a2)+~P4(a4)),
% 66.39/66.49 inference(scs_inference,[],[56,33])).
% 66.39/66.49 cnf(81,plain,
% 66.39/66.49 (~P3(a2)+P3(a5)+~P5(a4)),
% 66.39/66.49 inference(scs_inference,[],[57,30])).
% 66.39/66.49 cnf(83,plain,
% 66.39/66.49 (~P3(a3)+P4(a5)+~P5(a1)),
% 66.39/66.49 inference(scs_inference,[],[59,24])).
% 66.39/66.49 cnf(86,plain,
% 66.39/66.49 (~P2(a2)+~P2(a1)+~P5(a4)),
% 66.39/66.49 inference(scs_inference,[],[62,73])).
% 66.39/66.49 cnf(87,plain,
% 66.39/66.49 (~P2(a4)+~P5(a4)),
% 66.39/66.49 inference(scs_inference,[],[63,74])).
% 66.39/66.49 cnf(89,plain,
% 66.39/66.49 (~P5(a4)+P2(a2)+~P5(a5)),
% 66.39/66.49 inference(scs_inference,[],[87,28])).
% 66.39/66.49 cnf(95,plain,
% 66.39/66.49 (P4(a3)+P4(a4)+~P1(a4)+P3(a1)),
% 66.39/66.49 inference(scs_inference,[],[65,22])).
% 66.39/66.49 cnf(99,plain,
% 66.39/66.49 (P2(a1)+~P1(a2)+P4(a3)+~P1(a5)),
% 66.39/66.49 inference(scs_inference,[],[77,21])).
% 66.39/66.49 cnf(101,plain,
% 66.39/66.49 (P3(a5)+~P5(a3)+P4(a4)+~P5(a2)),
% 66.39/66.49 inference(scs_inference,[],[79,23])).
% 66.39/66.49 cnf(103,plain,
% 66.39/66.49 (~P5(a4)+P3(a5)+~P5(a3)),
% 66.39/66.49 inference(scs_inference,[],[81,29])).
% 66.39/66.50 cnf(104,plain,
% 66.39/66.50 (P4(a5)+~P5(a1)+P3(a5)+~P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[83,30])).
% 66.39/66.50 cnf(113,plain,
% 66.39/66.50 (~P4(a4)+P3(a5)+~P5(a3)),
% 66.39/66.50 inference(scs_inference,[],[103,32])).
% 66.39/66.50 cnf(120,plain,
% 66.39/66.50 (P1(a1)+~P5(a5)+P2(a4)),
% 66.39/66.50 inference(scs_inference,[],[1,28])).
% 66.39/66.50 cnf(128,plain,
% 66.39/66.50 (P4(a2)+P3(a2)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[1,33])).
% 66.39/66.50 cnf(136,plain,
% 66.39/66.50 (~P2(a1)+~P5(a1)+~P2(a2)),
% 66.39/66.50 inference(scs_inference,[],[1,42])).
% 66.39/66.50 cnf(137,plain,
% 66.39/66.50 (~P5(a1)+~P2(a2)+~P1(a2)+P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[136,26])).
% 66.39/66.50 cnf(138,plain,
% 66.39/66.50 (P1(a1)+~P5(a4)+~P5(a5)),
% 66.39/66.50 inference(scs_inference,[],[1,89])).
% 66.39/66.50 cnf(139,plain,
% 66.39/66.50 (~P3(a1)+~P5(a4)+~P5(a5)),
% 66.39/66.50 inference(scs_inference,[],[138,37])).
% 66.39/66.50 cnf(145,plain,
% 66.39/66.50 (P4(a3)+P3(a3)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[2,33])).
% 66.39/66.50 cnf(146,plain,
% 66.39/66.50 (P3(a3)+P1(a1)+P5(a2)),
% 66.39/66.50 inference(scs_inference,[],[145,12])).
% 66.39/66.50 cnf(147,plain,
% 66.39/66.50 (P1(a1)+P5(a2)+P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[146,16])).
% 66.39/66.50 cnf(148,plain,
% 66.39/66.50 (~P3(a1)+P5(a2)+P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[147,37])).
% 66.39/66.50 cnf(149,plain,
% 66.39/66.50 (P5(a2)+P5(a4)+~P1(a4)+P4(a2)),
% 66.39/66.50 inference(scs_inference,[],[148,22])).
% 66.39/66.50 cnf(157,plain,
% 66.39/66.50 (~P2(a1)+~P5(a1)+~P2(a3)),
% 66.39/66.50 inference(scs_inference,[],[2,42])).
% 66.39/66.50 cnf(158,plain,
% 66.39/66.50 (~P5(a1)+~P2(a3)+P2(a4)+~P1(a3)),
% 66.39/66.50 inference(scs_inference,[],[157,25])).
% 66.39/66.50 cnf(171,plain,
% 66.39/66.50 (P4(a1)+P3(a1)+P1(a2)),
% 66.39/66.50 inference(scs_inference,[],[3,33])).
% 66.39/66.50 cnf(172,plain,
% 66.39/66.50 (P3(a1)+P1(a2)+P1(a5)),
% 66.39/66.50 inference(scs_inference,[],[171,9])).
% 66.39/66.50 cnf(173,plain,
% 66.39/66.50 (P1(a2)+P1(a5)+P1(a4)),
% 66.39/66.50 inference(scs_inference,[],[172,8])).
% 66.39/66.50 cnf(199,plain,
% 66.39/66.50 (P1(a2)+~P3(a2)+~P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[4,81])).
% 66.39/66.50 cnf(200,plain,
% 66.39/66.50 (~P3(a2)+~P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[199,37])).
% 66.39/66.50 cnf(201,plain,
% 66.39/66.50 (P1(a2)+P5(a2)+~P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[200,34])).
% 66.39/66.50 cnf(202,plain,
% 66.39/66.50 (P5(a2)+~P5(a4)+P4(a3)+~P1(a5)+P2(a1)),
% 66.39/66.50 inference(scs_inference,[],[201,99])).
% 66.39/66.50 cnf(216,plain,
% 66.39/66.50 (P1(a3)+~P1(a2)+P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[5,26])).
% 66.39/66.50 cnf(217,plain,
% 66.39/66.50 (~P3(a3)+~P1(a2)+P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[216,37])).
% 66.39/66.50 cnf(218,plain,
% 66.39/66.50 (~P1(a2)+~P5(a4)+P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[217,30])).
% 66.39/66.50 cnf(219,plain,
% 66.39/66.50 (~P4(a2)+~P5(a4)+P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[218,31])).
% 66.39/66.50 cnf(220,plain,
% 66.39/66.50 (~P5(a4)+P3(a5)+~P1(a4)+P3(a1)),
% 66.39/66.50 inference(scs_inference,[],[219,22])).
% 66.39/66.50 cnf(222,plain,
% 66.39/66.50 (~P5(a3)+P4(a3)+~P2(a1)),
% 66.39/66.50 inference(scs_inference,[],[5,41])).
% 66.39/66.50 cnf(239,plain,
% 66.39/66.50 (P1(a3)+P5(a2)+~P5(a4)+P4(a3)+~P1(a5)),
% 66.39/66.50 inference(scs_inference,[],[5,202])).
% 66.39/66.50 cnf(242,plain,
% 66.39/66.50 (P1(a3)+~P5(a5)+P2(a2)),
% 66.39/66.50 inference(scs_inference,[],[6,28])).
% 66.39/66.50 cnf(243,plain,
% 66.39/66.50 (~P5(a3)+P4(a3)+~P5(a5)+P2(a2)),
% 66.39/66.50 inference(scs_inference,[],[242,41])).
% 66.39/66.50 cnf(250,plain,
% 66.39/66.50 (~P5(a3)+P4(a3)+~P2(a4)),
% 66.39/66.50 inference(scs_inference,[],[6,41])).
% 66.39/66.50 cnf(275,plain,
% 66.39/66.50 (P3(a2)+P2(a2)+P1(a4)),
% 66.39/66.50 inference(scs_inference,[],[7,33])).
% 66.39/66.50 cnf(276,plain,
% 66.39/66.50 (P2(a2)+P1(a4)+P5(a3)),
% 66.39/66.50 inference(scs_inference,[],[275,14])).
% 66.39/66.50 cnf(277,plain,
% 66.39/66.50 (P1(a4)+P5(a3)+P5(a5)),
% 66.39/66.50 inference(scs_inference,[],[276,19])).
% 66.39/66.50 cnf(278,plain,
% 66.39/66.50 (~P3(a4)+P5(a3)+P5(a5)),
% 66.39/66.50 inference(scs_inference,[],[277,37])).
% 66.39/66.50 cnf(279,plain,
% 66.39/66.50 (P5(a3)+P5(a5)+~P5(a1)+P4(a5)),
% 66.39/66.50 inference(scs_inference,[],[278,24])).
% 66.39/66.50 cnf(363,plain,
% 66.39/66.50 (~P4(a1)+P1(a3)+P5(a2)+~P5(a4)+P4(a3)),
% 66.39/66.50 inference(scs_inference,[],[9,239])).
% 66.39/66.50 cnf(375,plain,
% 66.39/66.50 (~P4(a1)+~P5(a3)+~P2(a3)+~P2(a5)+~P3(a2)+~P3(a4)),
% 66.39/66.50 inference(scs_inference,[],[9,43])).
% 66.39/66.50 cnf(422,plain,
% 66.39/66.50 (P4(a4)+P2(a4)+P5(a1)),
% 66.39/66.50 inference(scs_inference,[],[11,33])).
% 66.39/66.50 cnf(423,plain,
% 66.39/66.50 (P2(a4)+P5(a1)+P5(a2)),
% 66.39/66.50 inference(scs_inference,[],[422,13])).
% 66.39/66.50 cnf(424,plain,
% 66.39/66.50 (P5(a1)+P5(a2)+P5(a5)),
% 66.39/66.50 inference(scs_inference,[],[423,20])).
% 66.39/66.50 cnf(450,plain,
% 66.39/66.50 (~P3(a4)+~P2(a3)+P2(a4)+~P1(a3)),
% 66.39/66.50 inference(scs_inference,[],[11,158])).
% 66.39/66.50 cnf(452,plain,
% 66.39/66.50 (~P3(a4)+~P2(a2)+~P1(a2)+P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[11,137])).
% 66.39/66.50 cnf(459,plain,
% 66.39/66.50 (P5(a2)+~P1(a5)+P4(a1)),
% 66.39/66.50 inference(scs_inference,[],[12,21])).
% 66.39/66.50 cnf(464,plain,
% 66.39/66.50 (P4(a2)+~P1(a2)+~P4(a3)),
% 66.39/66.50 inference(scs_inference,[],[12,41])).
% 66.39/66.50 cnf(466,plain,
% 66.39/66.50 (P3(a3)+P2(a3)+P5(a2)),
% 66.39/66.50 inference(scs_inference,[],[12,33])).
% 66.39/66.50 cnf(481,plain,
% 66.39/66.50 (P5(a2)+~P5(a3)+~P2(a4)),
% 66.39/66.50 inference(scs_inference,[],[12,250])).
% 66.39/66.50 cnf(482,plain,
% 66.39/66.50 (~P3(a2)+~P5(a3)+~P2(a4)),
% 66.39/66.50 inference(scs_inference,[],[481,38])).
% 66.39/66.50 cnf(483,plain,
% 66.39/66.50 (~P5(a3)+~P2(a4)+P4(a2)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[482,128])).
% 66.39/66.50 cnf(554,plain,
% 66.39/66.50 (P5(a3)+P4(a2)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[14,128])).
% 66.39/66.50 cnf(555,plain,
% 66.39/66.50 (~P3(a3)+P4(a2)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[554,38])).
% 66.39/66.50 cnf(568,plain,
% 66.39/66.50 (~P4(a1)+~P2(a3)+~P2(a5)+~P3(a2)+~P3(a4)),
% 66.39/66.50 inference(scs_inference,[],[14,375])).
% 66.39/66.50 cnf(577,plain,
% 66.39/66.50 (P5(a3)+~P5(a4)+P3(a3)),
% 66.39/66.50 inference(scs_inference,[],[15,30])).
% 66.39/66.50 cnf(596,plain,
% 66.39/66.50 (P5(a3)+~P1(a2)+P1(a3)),
% 66.39/66.50 inference(scs_inference,[],[15,216])).
% 66.39/66.50 cnf(597,plain,
% 66.39/66.50 (~P3(a3)+~P1(a2)+P1(a3)),
% 66.39/66.50 inference(scs_inference,[],[596,38])).
% 66.39/66.50 cnf(598,plain,
% 66.39/66.50 (P4(a3)+P2(a3)+~P1(a2)+P1(a3)),
% 66.39/66.50 inference(scs_inference,[],[597,33])).
% 66.39/66.50 cnf(624,plain,
% 66.39/66.50 (P4(a3)+P2(a3)+P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[16,33])).
% 66.39/66.50 cnf(630,plain,
% 66.39/66.50 (P1(a3)+P5(a3)+P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[16,34])).
% 66.39/66.50 cnf(642,plain,
% 66.39/66.50 (~P3(a3)+~P4(a2)+P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[16,219])).
% 66.39/66.50 cnf(653,plain,
% 66.39/66.50 (~P3(a3)+~P4(a1)+P1(a3)+P5(a2)+P4(a3)),
% 66.39/66.50 inference(scs_inference,[],[16,363])).
% 66.39/66.50 cnf(673,plain,
% 66.39/66.50 (P5(a4)+~P3(a4)+~P2(a2)+~P1(a2)),
% 66.39/66.50 inference(scs_inference,[],[17,452])).
% 66.39/66.50 cnf(679,plain,
% 66.39/66.50 (P5(a4)+~P5(a2)+~P5(a3)+P4(a4)),
% 66.39/66.50 inference(scs_inference,[],[17,101])).
% 66.39/66.50 cnf(691,plain,
% 66.39/66.50 (P3(a3)+P2(a3)+P5(a5)),
% 66.39/66.50 inference(scs_inference,[],[18,33])).
% 66.39/66.50 cnf(704,plain,
% 66.39/66.50 (P5(a5)+P1(a1)+P3(a3)),
% 66.39/66.50 inference(scs_inference,[],[18,145])).
% 66.39/66.50 cnf(705,plain,
% 66.39/66.50 (~P3(a5)+P1(a1)+P3(a3)),
% 66.39/66.50 inference(scs_inference,[],[704,38])).
% 66.39/66.50 cnf(711,plain,
% 66.39/66.50 (~P4(a3)+P1(a1)+P2(a4)),
% 66.39/66.50 inference(scs_inference,[],[18,120])).
% 66.39/66.50 cnf(723,plain,
% 66.39/66.50 (~P4(a3)+~P3(a1)+~P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[18,139])).
% 66.39/66.50 cnf(782,plain,
% 66.39/66.50 (P4(a2)+P3(a2)+P5(a5)),
% 66.39/66.50 inference(scs_inference,[],[19,33])).
% 66.39/66.50 cnf(839,plain,
% 66.39/66.50 (~P4(a4)+~P2(a2)),
% 66.39/66.50 inference(scs_inference,[],[31,69])).
% 66.39/66.50 cnf(840,plain,
% 66.39/66.50 (~P2(a2)+P4(a3)+~P5(a2)),
% 66.39/66.50 inference(scs_inference,[],[839,23])).
% 66.39/66.50 cnf(873,plain,
% 66.39/66.50 (P1(a2)+~P3(a3)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[31,555])).
% 66.39/66.50 cnf(874,plain,
% 66.39/66.50 (~P3(a3)+P1(a1)+P2(a3)+P1(a3)+P4(a3)),
% 66.39/66.50 inference(scs_inference,[],[873,598])).
% 66.39/66.50 cnf(922,plain,
% 66.39/66.50 (P1(a3)+~P2(a2)+~P5(a2)),
% 66.39/66.50 inference(scs_inference,[],[31,840])).
% 66.39/66.50 cnf(940,plain,
% 66.39/66.50 (~P4(a4)+~P5(a4)+P3(a1)+P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[31,220])).
% 66.39/66.50 cnf(1001,plain,
% 66.39/66.50 (P2(a3)+P1(a3)+~P1(a2)),
% 66.39/66.50 inference(scs_inference,[],[31,598])).
% 66.39/66.50 cnf(1032,plain,
% 66.39/66.50 (~P3(a3)+P1(a1)+P2(a3)+P1(a3)),
% 66.39/66.50 inference(scs_inference,[],[31,874])).
% 66.39/66.50 cnf(1038,plain,
% 66.39/66.50 (~P3(a3)+~P4(a1)+P1(a3)+P5(a2)),
% 66.39/66.50 inference(scs_inference,[],[31,653])).
% 66.39/66.50 cnf(1054,plain,
% 66.39/66.50 (~P4(a4)+P5(a3)+P3(a3)),
% 66.39/66.50 inference(scs_inference,[],[32,577])).
% 66.39/66.50 cnf(1070,plain,
% 66.39/66.50 (~P4(a3)+P3(a5)+P3(a2)),
% 66.39/66.50 inference(scs_inference,[],[32,29])).
% 66.39/66.50 cnf(1136,plain,
% 66.39/66.50 (~P4(a1)+~P5(a4)+P4(a5)+P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[32,104])).
% 66.39/66.50 cnf(1174,plain,
% 66.39/66.50 (P5(x11741)+P3(x11741)+P2(x11741)),
% 66.39/66.50 inference(scs_inference,[],[32,33])).
% 66.39/66.50 cnf(1187,plain,
% 66.39/66.50 (P5(a2)+P5(a4)+~P1(a4)),
% 66.39/66.50 inference(scs_inference,[],[32,149])).
% 66.39/66.50 cnf(1194,plain,
% 66.39/66.50 (P5(a3)+P5(a5)+~P5(a1)),
% 66.39/66.50 inference(scs_inference,[],[32,279])).
% 66.39/66.50 cnf(1204,plain,
% 66.39/66.50 (P5(a4)+~P5(a3)+~P5(a2)),
% 66.39/66.50 inference(scs_inference,[],[32,679])).
% 66.39/66.50 cnf(1206,plain,
% 66.39/66.50 (~P4(a3)+P5(a4)+~P5(a2)),
% 66.39/66.50 inference(scs_inference,[],[32,1204])).
% 66.39/66.50 cnf(1209,plain,
% 66.39/66.50 (~P4(a2)+~P4(a3)+P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[32,1206])).
% 66.39/66.50 cnf(1210,plain,
% 66.39/66.50 (P5(a4)+~P1(a2)+~P4(a3)),
% 66.39/66.50 inference(scs_inference,[],[1209,464])).
% 66.39/66.50 cnf(1211,plain,
% 66.39/66.50 (~P1(a2)+~P4(a3)+~P3(a1)),
% 66.39/66.50 inference(scs_inference,[],[1210,723])).
% 66.39/66.50 cnf(1212,plain,
% 66.39/66.50 (~P4(a2)+~P4(a3)+~P3(a1)),
% 66.39/66.50 inference(scs_inference,[],[1211,31])).
% 66.39/66.50 cnf(1213,plain,
% 66.39/66.50 (~P4(a3)+~P3(a1)+~P5(a3)+~P2(a4)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[1212,483])).
% 66.39/66.50 cnf(1240,plain,
% 66.39/66.50 (~P4(a3)+~P3(a1)+~P2(a4)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[32,1213])).
% 66.39/66.50 cnf(1267,plain,
% 66.39/66.50 (P5(a4)+~P1(a4)+P3(a1)+P4(a3)),
% 66.39/66.50 inference(scs_inference,[],[32,95])).
% 66.39/66.50 cnf(1579,plain,
% 66.39/66.50 (~P1(a3)+~P4(a4)+P5(a3)),
% 66.39/66.50 inference(scs_inference,[],[37,1054])).
% 66.39/66.50 cnf(1592,plain,
% 66.39/66.50 (~P1(x15921)+P2(x15921)+P5(x15921)),
% 66.39/66.50 inference(scs_inference,[],[37,1174])).
% 66.39/66.50 cnf(1633,plain,
% 66.39/66.50 (~P1(x16331)+P4(x16331)+P2(x16331)),
% 66.39/66.50 inference(scs_inference,[],[37,33])).
% 66.39/66.50 cnf(1712,plain,
% 66.39/66.50 (~P3(a3)+P1(a1)+P2(a3)),
% 66.39/66.50 inference(scs_inference,[],[37,1032])).
% 66.39/66.50 cnf(1713,plain,
% 66.39/66.50 (P4(a3)+P2(a3)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[1712,33])).
% 66.39/66.50 cnf(1714,plain,
% 66.39/66.50 (P2(a3)+P1(a1)+P2(a4)),
% 66.39/66.50 inference(scs_inference,[],[1713,711])).
% 66.39/66.50 cnf(1715,plain,
% 66.39/66.50 (P2(a4)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[1714,2])).
% 66.39/66.50 cnf(1716,plain,
% 66.39/66.50 (P1(a1)+P1(a3)),
% 66.39/66.50 inference(scs_inference,[],[1715,6])).
% 66.39/66.50 cnf(1717,plain,
% 66.39/66.50 (~P3(a1)+P1(a3)),
% 66.39/66.50 inference(scs_inference,[],[1716,37])).
% 66.39/66.50 cnf(1721,plain,
% 66.39/66.50 (~P3(a1)+P2(a4)),
% 66.39/66.50 inference(scs_inference,[],[37,1715])).
% 66.39/66.50 cnf(1725,plain,
% 66.39/66.50 (~P3(a3)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[37,1716])).
% 66.39/66.50 cnf(1726,plain,
% 66.39/66.50 (P1(a1)+P3(a5)+~P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[1725,30])).
% 66.39/66.50 cnf(1727,plain,
% 66.39/66.50 (~P3(a1)+P3(a5)+~P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[1726,37])).
% 66.39/66.50 cnf(1728,plain,
% 66.39/66.50 (~P4(a4)+~P5(a4)+P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[1727,940])).
% 66.39/66.50 cnf(1729,plain,
% 66.39/66.50 (~P5(a4)+~P1(a4)+P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[1728,41])).
% 66.39/66.50 cnf(1730,plain,
% 66.39/66.50 (P3(a5)+P5(a2)+~P1(a4)),
% 66.39/66.50 inference(scs_inference,[],[1729,1187])).
% 66.39/66.50 cnf(1736,plain,
% 66.39/66.50 (~P3(a3)+~P3(a1)),
% 66.39/66.50 inference(scs_inference,[],[37,1717])).
% 66.39/66.50 cnf(1737,plain,
% 66.39/66.50 (P4(a3)+P2(a3)+~P3(a1)),
% 66.39/66.50 inference(scs_inference,[],[1736,33])).
% 66.39/66.50 cnf(1738,plain,
% 66.39/66.50 (P2(a3)+~P3(a1)+~P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[1737,723])).
% 66.39/66.50 cnf(1739,plain,
% 66.39/66.50 (~P3(a1)+~P5(a4)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[1738,2])).
% 66.39/66.50 cnf(1749,plain,
% 66.39/66.50 (~P3(a1)+~P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[37,1739])).
% 66.39/66.50 cnf(1750,plain,
% 66.39/66.50 (P4(a1)+P2(a1)+~P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[1749,33])).
% 66.39/66.50 cnf(1751,plain,
% 66.39/66.50 (P2(a1)+~P5(a4)+P1(a5)),
% 66.39/66.50 inference(scs_inference,[],[1750,9])).
% 66.39/66.50 cnf(1763,plain,
% 66.39/66.50 (~P3(a5)+P2(a1)+~P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[37,1751])).
% 66.39/66.50 cnf(1764,plain,
% 66.39/66.50 (P2(a1)+~P5(a4)+P3(a3)),
% 66.39/66.50 inference(scs_inference,[],[1763,30])).
% 66.39/66.50 cnf(1765,plain,
% 66.39/66.50 (P3(a3)+~P2(a2)+~P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[1764,86])).
% 66.39/66.50 cnf(1768,plain,
% 66.39/66.50 (~P3(a3)+~P4(a1)+P5(a2)),
% 66.39/66.50 inference(scs_inference,[],[37,1038])).
% 66.39/66.50 cnf(1769,plain,
% 66.39/66.50 (~P4(a1)+P5(a2)+P2(a3)),
% 66.39/66.50 inference(scs_inference,[],[1768,466])).
% 66.39/66.50 cnf(1785,plain,
% 66.39/66.50 (~P4(a3)+~P3(a1)+~P2(a4)),
% 66.39/66.50 inference(scs_inference,[],[37,1240])).
% 66.39/66.50 cnf(1786,plain,
% 66.39/66.50 (~P3(a1)+~P5(a3)+~P2(a4)),
% 66.39/66.50 inference(scs_inference,[],[1785,250])).
% 66.39/66.50 cnf(1787,plain,
% 66.39/66.50 (~P5(a3)+~P3(a1)),
% 66.39/66.50 inference(scs_inference,[],[1786,1721])).
% 66.39/66.50 cnf(1788,plain,
% 66.39/66.50 (~P3(a1)+~P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[1787,15])).
% 66.39/66.50 cnf(1789,plain,
% 66.39/66.50 (P4(a1)+P2(a1)+~P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[1788,33])).
% 66.39/66.50 cnf(1790,plain,
% 66.39/66.50 (~P3(a5)+P2(a1)+P1(a5)),
% 66.39/66.50 inference(scs_inference,[],[1789,9])).
% 66.39/66.50 cnf(1797,plain,
% 66.39/66.50 (~P3(a5)+P2(a1)),
% 66.39/66.50 inference(scs_inference,[],[37,1790])).
% 66.39/66.50 cnf(1798,plain,
% 66.39/66.50 (P2(a1)+~P3(a3)+~P4(a2)),
% 66.39/66.50 inference(scs_inference,[],[1797,642])).
% 66.39/66.50 cnf(1799,plain,
% 66.39/66.50 (~P3(a3)+~P4(a2)+P1(a3)),
% 66.39/66.50 inference(scs_inference,[],[1798,5])).
% 66.39/66.50 cnf(1800,plain,
% 66.39/66.50 (P1(a3)+P5(a3)+~P4(a2)),
% 66.39/66.50 inference(scs_inference,[],[1799,34])).
% 66.39/66.50 cnf(1801,plain,
% 66.39/66.50 (~P4(a2)+~P4(a4)+P5(a3)),
% 66.39/66.50 inference(scs_inference,[],[1800,1579])).
% 66.39/66.50 cnf(1802,plain,
% 66.39/66.50 (P5(a3)+~P4(a4)+P2(a2)),
% 66.39/66.50 inference(scs_inference,[],[1801,80])).
% 66.39/66.50 cnf(1803,plain,
% 66.39/66.50 (P2(a2)+~P4(a4)+P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[1802,113])).
% 66.39/66.50 cnf(1839,plain,
% 66.39/66.50 (~P5(a3)+~P3(a5)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[38,705])).
% 66.39/66.50 cnf(1849,plain,
% 66.39/66.50 (~P3(a3)+P5(a5)+~P5(a1)),
% 66.39/66.50 inference(scs_inference,[],[38,1194])).
% 66.39/66.50 cnf(1850,plain,
% 66.39/66.50 (~P5(a1)+P2(a3)+P5(a5)),
% 66.39/66.50 inference(scs_inference,[],[1849,691])).
% 66.39/66.50 cnf(1851,plain,
% 66.39/66.50 (P2(a3)+P5(a5)+P5(a2)),
% 66.39/66.50 inference(scs_inference,[],[1850,424])).
% 66.39/66.50 cnf(1852,plain,
% 66.39/66.50 (P5(a5)+P5(a2)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[1851,2])).
% 66.39/66.50 cnf(1853,plain,
% 66.39/66.50 (P5(a2)+P1(a1)+~P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[1852,138])).
% 66.39/66.50 cnf(1854,plain,
% 66.39/66.50 (P1(a1)+P5(a2)),
% 66.39/66.50 inference(scs_inference,[],[1853,147])).
% 66.39/66.50 cnf(1864,plain,
% 66.39/66.50 (~P3(a2)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[38,1854])).
% 66.39/66.50 cnf(1865,plain,
% 66.39/66.50 (P1(a1)+~P5(a3)+P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[1864,29])).
% 66.39/66.50 cnf(1866,plain,
% 66.39/66.50 (~P5(a3)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[1865,1839])).
% 66.39/66.50 cnf(1867,plain,
% 66.39/66.50 (P1(a1)+~P3(a5)),
% 66.39/66.50 inference(scs_inference,[],[1866,15])).
% 66.39/66.50 cnf(1868,plain,
% 66.39/66.50 (~P3(a5)+P2(a3)+P2(a2)),
% 66.39/66.50 inference(scs_inference,[],[1867,27])).
% 66.39/66.50 cnf(1869,plain,
% 66.39/66.50 (P2(a3)+P2(a2)+~P4(a4)),
% 66.39/66.50 inference(scs_inference,[],[1868,1803])).
% 66.39/66.50 cnf(1870,plain,
% 66.39/66.50 (P2(a2)+~P4(a4)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[1869,2])).
% 66.39/66.50 cnf(1871,plain,
% 66.39/66.50 (~P4(a4)+P1(a1)),
% 66.39/66.50 inference(scs_inference,[],[1870,1])).
% 66.39/66.50 cnf(1872,plain,
% 66.39/66.50 (P1(a1)+~P5(a2)+P4(a3)),
% 66.39/66.50 inference(scs_inference,[],[1871,23])).
% 66.39/66.50 cnf(1891,plain,
% 66.39/66.50 (~P5(a5)+~P4(a3)+P3(a2)),
% 66.39/66.50 inference(scs_inference,[],[38,1070])).
% 66.39/66.50 cnf(1892,plain,
% 66.39/66.50 (~P4(a3)+P4(a2)+P3(a2)),
% 66.39/66.50 inference(scs_inference,[],[1891,782])).
% 66.39/66.50 cnf(1893,plain,
% 66.39/66.50 (P4(a2)+~P4(a3)),
% 66.39/66.50 inference(scs_inference,[],[1892,55])).
% 66.39/66.50 cnf(1894,plain,
% 66.39/66.50 (~P4(a3)+P1(a4)),
% 66.39/66.50 inference(scs_inference,[],[1893,7])).
% 66.39/66.50 cnf(1898,plain,
% 66.39/66.50 (~P3(a4)+~P2(a2)+~P1(a2)),
% 66.39/66.50 inference(scs_inference,[],[38,673])).
% 66.39/66.50 cnf(1899,plain,
% 66.39/66.50 (P5(a2)+~P1(a2)+~P3(a4)),
% 66.39/66.50 inference(scs_inference,[],[1898,1592])).
% 66.39/66.50 cnf(1900,plain,
% 66.39/66.50 (P4(a2)+~P1(a2)+~P3(a4)),
% 66.39/66.50 inference(scs_inference,[],[1899,41])).
% 66.39/66.50 cnf(1901,plain,
% 66.39/66.50 (~P1(a2)+~P3(a4)+P1(a4)),
% 66.39/66.50 inference(scs_inference,[],[1900,7])).
% 66.39/66.50 cnf(1902,plain,
% 66.39/66.50 (~P3(a4)+P1(a5)+P1(a4)),
% 66.39/66.50 inference(scs_inference,[],[1901,173])).
% 66.39/66.50 cnf(1903,plain,
% 66.39/66.50 (P1(a4)+P5(a4)+P1(a5)),
% 66.39/66.50 inference(scs_inference,[],[1902,34])).
% 66.39/66.50 cnf(1904,plain,
% 66.39/66.50 (P1(a5)+P5(a2)+P5(a4)),
% 66.39/66.50 inference(scs_inference,[],[1903,1187])).
% 66.39/66.50 cnf(1905,plain,
% 66.39/66.50 (P5(a4)+P5(a2)+P4(a1)),
% 66.39/66.50 inference(scs_inference,[],[1904,459])).
% 66.39/66.50 cnf(1906,plain,
% 66.39/66.50 (P4(a1)+P1(a2)+P5(a2)),
% 66.39/66.51 inference(scs_inference,[],[1905,201])).
% 66.39/66.51 cnf(1907,plain,
% 66.39/66.51 (P1(a2)+P5(a2)+P2(a3)),
% 66.39/66.51 inference(scs_inference,[],[1906,1769])).
% 66.39/66.51 cnf(1908,plain,
% 66.39/66.51 (P5(a2)+P2(a3)+P1(a3)),
% 66.39/66.51 inference(scs_inference,[],[1907,1001])).
% 66.39/66.51 cnf(1909,plain,
% 66.39/66.51 (P2(a3)+P1(a3)+~P2(a2)),
% 66.39/66.51 inference(scs_inference,[],[1908,922])).
% 66.39/66.51 cnf(1910,plain,
% 66.39/66.51 (~P3(a3)+P1(a3)+~P2(a2)),
% 66.39/66.51 inference(scs_inference,[],[1909,39])).
% 66.39/66.51 cnf(1911,plain,
% 66.39/66.51 (P1(a3)+~P2(a2)+~P5(a4)),
% 66.39/66.51 inference(scs_inference,[],[1910,1765])).
% 66.39/66.51 cnf(1912,plain,
% 66.39/66.51 (~P2(a2)+P1(a3)+P5(a3)),
% 66.39/66.51 inference(scs_inference,[],[1911,630])).
% 66.39/66.51 cnf(1913,plain,
% 66.39/66.51 (P5(a3)+P1(a3)+~P5(a5)),
% 66.39/66.51 inference(scs_inference,[],[1912,242])).
% 66.39/66.51 cnf(1914,plain,
% 66.39/66.51 (~P3(a3)+~P5(a5)+P1(a3)),
% 66.39/66.51 inference(scs_inference,[],[1913,38])).
% 66.39/66.51 cnf(1915,plain,
% 66.39/66.51 (~P3(a3)+~P5(a5)),
% 66.39/66.51 inference(scs_inference,[],[1914,37])).
% 66.39/66.51 cnf(1916,plain,
% 66.39/66.51 (~P5(a5)+P3(a5)+~P5(a4)),
% 66.39/66.51 inference(scs_inference,[],[1915,30])).
% 66.39/66.51 cnf(1917,plain,
% 66.39/66.51 (P2(a5)+P3(a5)+~P5(a4)),
% 66.39/66.51 inference(scs_inference,[],[1916,1174])).
% 66.39/66.51 cnf(1918,plain,
% 66.39/66.51 (~P4(a5)+P3(a5)+~P5(a4)),
% 66.39/66.51 inference(scs_inference,[],[1917,35])).
% 66.39/66.51 cnf(1919,plain,
% 66.39/66.51 (~P4(a1)+~P5(a4)+P3(a5)),
% 66.39/66.51 inference(scs_inference,[],[1918,1136])).
% 66.39/66.51 cnf(1936,plain,
% 66.39/66.51 (~P5(a2)+~P4(a3)+P3(a5)),
% 66.39/66.51 inference(scs_inference,[],[38,1070])).
% 66.39/66.51 cnf(1937,plain,
% 66.39/66.51 (~P4(a3)+~P1(a4)+P3(a5)),
% 66.39/66.51 inference(scs_inference,[],[1936,1730])).
% 66.39/66.51 cnf(1938,plain,
% 66.39/66.51 (P3(a5)+~P4(a3)),
% 66.39/66.51 inference(scs_inference,[],[1937,1894])).
% 66.39/66.51 cnf(1966,plain,
% 66.39/66.51 (~P5(a5)+~P4(a3)),
% 66.39/66.51 inference(scs_inference,[],[38,1938])).
% 66.39/66.51 cnf(1967,plain,
% 66.39/66.51 (~P4(a3)),
% 66.39/66.51 inference(scs_inference,[],[1966,18])).
% 66.39/66.51 cnf(1969,plain,
% 66.39/66.51 (~P5(a2)+P4(a4)),
% 66.39/66.51 inference(scs_inference,[],[1967,23])).
% 66.39/66.51 cnf(1981,plain,
% 66.39/66.51 (~P5(a3)+~P2(a1)),
% 66.39/66.51 inference(scs_inference,[],[1967,222])).
% 66.39/66.51 cnf(1984,plain,
% 66.39/66.51 (~P5(a3)+P2(a2)+~P5(a5)),
% 66.39/66.51 inference(scs_inference,[],[1967,243])).
% 66.39/66.51 cnf(2011,plain,
% 66.39/66.51 (P2(a3)+P5(a4)),
% 66.39/66.51 inference(scs_inference,[],[1967,624])).
% 66.39/66.51 cnf(2045,plain,
% 66.39/66.51 (P5(a4)+~P1(a4)+P3(a1)),
% 66.39/66.51 inference(scs_inference,[],[1967,1267])).
% 66.39/66.51 cnf(2078,plain,
% 66.39/66.51 (P1(a1)+~P5(a2)),
% 66.39/66.51 inference(scs_inference,[],[1967,1872])).
% 66.39/66.51 cnf(2087,plain,
% 66.39/66.51 (P5(a4)+~P5(a2)),
% 66.39/66.51 inference(scs_inference,[],[1969,32])).
% 66.39/66.51 cnf(2091,plain,
% 66.39/66.51 (~P5(a3)+~P3(a5)),
% 66.39/66.51 inference(scs_inference,[],[1981,1797])).
% 66.39/66.51 cnf(2094,plain,
% 66.39/66.51 (~P3(a4)+P2(a3)),
% 66.39/66.51 inference(scs_inference,[],[2011,38])).
% 66.39/66.51 cnf(2106,plain,
% 66.39/66.51 (P1(a1)),
% 66.39/66.51 inference(scs_inference,[],[2078,1854])).
% 66.39/66.51 cnf(2153,plain,
% 66.39/66.51 (~P3(a1)),
% 66.39/66.51 inference(scs_inference,[],[2106,37])).
% 66.39/66.51 cnf(2160,plain,
% 66.39/66.51 (P4(a1)+P1(a2)),
% 66.39/66.51 inference(scs_inference,[],[2106,37,1633,42,1981,3])).
% 66.39/66.51 cnf(2203,plain,
% 66.39/66.51 (~P1(a4)+P5(a4)),
% 66.39/66.51 inference(scs_inference,[],[2153,2045])).
% 66.39/66.51 cnf(2211,plain,
% 66.39/66.51 (~P4(a2)+P5(a4)),
% 66.39/66.51 inference(scs_inference,[],[2087,32])).
% 66.39/66.51 cnf(2216,plain,
% 66.39/66.51 (~P3(a5)),
% 66.39/66.51 inference(scs_inference,[],[2091,15])).
% 66.39/66.51 cnf(2218,plain,
% 66.39/66.51 (~P5(a3)+P3(a2)),
% 66.39/66.51 inference(scs_inference,[],[2216,29])).
% 66.39/66.51 cnf(2231,plain,
% 66.39/66.51 (~P5(a4)+~P1(a2)),
% 66.39/66.51 inference(scs_inference,[],[2216,218])).
% 66.39/66.51 cnf(2274,plain,
% 66.39/66.51 (~P5(a4)+~P4(a1)),
% 66.39/66.51 inference(scs_inference,[],[2216,1919])).
% 66.39/66.51 cnf(2285,plain,
% 66.39/66.51 (P2(a5)+P5(a5)),
% 66.39/66.51 inference(scs_inference,[],[2216,34,1174])).
% 66.39/66.51 cnf(2288,plain,
% 66.39/66.51 (P1(a3)+P5(a3)+~P3(a4)),
% 66.39/66.51 inference(scs_inference,[],[2094,40])).
% 66.39/66.51 cnf(2309,plain,
% 66.39/66.51 (P1(a2)+~P5(a4)),
% 66.39/66.51 inference(scs_inference,[],[2160,2274])).
% 66.39/66.51 cnf(2328,plain,
% 66.39/66.51 (P3(a2)+~P3(a4)+P1(a3)),
% 66.39/66.51 inference(scs_inference,[],[2218,2288])).
% 66.39/66.51 cnf(2333,plain,
% 66.39/66.51 (~P5(a4)),
% 66.39/66.51 inference(scs_inference,[],[2231,2309])).
% 66.39/66.51 cnf(2338,plain,
% 66.39/66.51 (P1(a3)+P5(a3)),
% 66.39/66.51 inference(scs_inference,[],[2333,630])).
% 66.39/66.51 cnf(2361,plain,
% 66.39/66.51 (P5(a2)+P4(a1)),
% 66.39/66.51 inference(scs_inference,[],[2333,1905])).
% 66.39/66.51 cnf(2362,plain,
% 66.39/66.51 (P2(a3)),
% 66.39/66.51 inference(scs_inference,[],[2333,2011])).
% 66.39/66.51 cnf(2364,plain,
% 66.39/66.51 (~P5(a2)),
% 66.39/66.51 inference(scs_inference,[],[2333,2087])).
% 66.39/66.51 cnf(2367,plain,
% 66.39/66.51 (~P1(a4)),
% 66.39/66.51 inference(scs_inference,[],[2333,2203])).
% 66.39/66.51 cnf(2368,plain,
% 66.39/66.51 (~P4(a2)),
% 66.39/66.51 inference(scs_inference,[],[2333,2211])).
% 66.39/66.51 cnf(2422,plain,
% 66.39/66.51 (P2(a4)+~P3(a4)+~P1(a3)),
% 66.39/66.51 inference(scs_inference,[],[2362,450])).
% 66.39/66.51 cnf(2446,plain,
% 66.39/66.51 (~P3(a4)+~P3(a2)+~P2(a5)+~P4(a1)),
% 66.39/66.51 inference(scs_inference,[],[2362,568])).
% 66.39/66.51 cnf(2561,plain,
% 66.39/66.51 (~P1(a2)+~P3(a4)),
% 66.39/66.51 inference(scs_inference,[],[2368,1900])).
% 66.39/66.51 cnf(2634,plain,
% 66.39/66.51 (P4(a1)),
% 66.39/66.51 inference(scs_inference,[],[2364,2361])).
% 66.39/66.51 cnf(2635,plain,
% 66.39/66.51 (P3(a4)),
% 66.39/66.51 inference(scs_inference,[],[2333,2367,34])).
% 66.39/66.51 cnf(2641,plain,
% 66.39/66.51 (~P1(a2)),
% 66.39/66.51 inference(scs_inference,[],[2333,2367,34,40,2422,2338,2561])).
% 66.39/66.51 cnf(2643,plain,
% 66.39/66.51 (P3(a2)),
% 66.39/66.51 inference(scs_inference,[],[2333,2367,34,40,2422,2338,2561,1984,2328])).
% 66.39/66.51 cnf(2644,plain,
% 66.39/66.51 (P2(a5)+P2(a2)),
% 66.39/66.51 inference(scs_inference,[],[2333,2367,34,40,2422,2338,2561,1984,2328,2285])).
% 66.39/66.51 cnf(2852,plain,
% 66.39/66.51 (~P2(a5)),
% 66.39/66.51 inference(scs_inference,[],[2643,2634,2635,2446])).
% 66.39/66.51 cnf(2912,plain,
% 66.39/66.51 (P2(a5)),
% 66.39/66.51 inference(scs_inference,[],[2641,2364,40,2644])).
% 66.39/66.51 cnf(2915,plain,
% 66.39/66.51 ($false),
% 66.39/66.51 inference(scs_inference,[],[2852,2912]),
% 66.39/66.51 ['proof']).
% 66.39/66.51 % SZS output end Proof
% 66.39/66.51 % Total time :65.790000s
%------------------------------------------------------------------------------