TSTP Solution File: PUZ021-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PUZ021-1 : 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 : n012.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 13:10:55 EDT 2023
% Result : Unsatisfiable 64.16s 64.31s
% Output : CNFRefutation 64.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ021-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n012.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 : Sat Aug 26 22:06:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 64.16/64.30 %-------------------------------------------
% 64.16/64.30 % File :CSE---1.6
% 64.16/64.30 % Problem :theBenchmark
% 64.16/64.30 % Transform :cnf
% 64.16/64.30 % Format :tptp:raw
% 64.16/64.30 % Command :java -jar mcs_scs.jar %d %s
% 64.16/64.30
% 64.16/64.30 % Result :Theorem 63.700000s
% 64.16/64.31 % Output :CNFRefutation 63.700000s
% 64.16/64.31 %-------------------------------------------
% 64.16/64.31 %--------------------------------------------------------------------------
% 64.16/64.31 % File : PUZ021-1 : TPTP v8.1.2. Released v1.0.0.
% 64.16/64.31 % Domain : Puzzles
% 64.16/64.31 % Problem : How to Win a Bride
% 64.16/64.31 % Version : Especial.
% 64.16/64.31 % English : Suppose you are an inhabitant of the island of 'knights' and
% 64.16/64.31 % 'knaves'. The knights always tell the truth and the knaves
% 64.16/64.31 % always lie. You fall in love with a girl there and wish
% 64.16/64.31 % to marry her. However, this girl has strange tastes; for some
% 64.16/64.31 % odd reason she does not wish to marry a knight; she wants
% 64.16/64.31 % to marry only a knave. But she wants a rich knave, not a poor
% 64.16/64.31 % one. (We assume for convenience that everyone is classified
% 64.16/64.31 % as either rich or poor.) Suppose, in fact, that you are
% 64.16/64.31 % a rich knave. You are allowed to make only one statement, can
% 64.16/64.31 % you convince her that you are a rich knave?
% 64.16/64.31
% 64.16/64.31 % Refs : [Smu78] Smullyan (1978), What is the Name of This Book? The Ri
% 64.16/64.31 % : [Ohl85] Ohlbach (1985), Predicate Logic Hacker Tricks
% 64.16/64.31 % Source : [Ohl85]
% 64.16/64.31 % Names : Problem 95 [Smu78]
% 64.16/64.31 % : How to Win a Bride [Ohl85]
% 64.16/64.31
% 64.16/64.31 % Status : Unsatisfiable
% 64.16/64.31 % Rating : 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v5.1.0, 0.09 v5.0.0, 0.07 v4.1.0, 0.00 v2.5.0, 0.20 v2.4.0, 0.00 v2.2.1, 0.25 v2.1.0, 0.62 v2.0.0
% 64.16/64.31 % Syntax : Number of clauses : 13 ( 0 unt; 4 nHn; 9 RR)
% 64.16/64.31 % Number of literals : 31 ( 0 equ; 18 neg)
% 64.16/64.31 % Maximal clause size : 3 ( 2 avg)
% 64.16/64.31 % Maximal term depth : 3 ( 1 avg)
% 64.16/64.31 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty)
% 64.16/64.31 % Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% 64.16/64.31 % Number of variables : 31 ( 2 sgn)
% 64.16/64.31 % SPC : CNF_UNS_RFO_NEQ_NHN
% 64.16/64.31
% 64.16/64.31 % Comments :
% 64.16/64.31 %--------------------------------------------------------------------------
% 64.16/64.31 cnf(not_knight_and_knave,axiom,
% 64.16/64.31 ( ~ a_truth(knight(X),Y)
% 64.16/64.31 | ~ a_truth(knave(X),Y) ) ).
% 64.16/64.31
% 64.16/64.31 cnf(knight_or_knave,axiom,
% 64.16/64.31 ( a_truth(knight(X),Y)
% 64.16/64.31 | a_truth(knave(X),Y) ) ).
% 64.16/64.31
% 64.16/64.31 cnf(not_rich_and_poor,axiom,
% 64.16/64.31 ( ~ a_truth(rich(X),Y)
% 64.16/64.31 | ~ a_truth(poor(X),Y) ) ).
% 64.16/64.31
% 64.16/64.31 cnf(rich_or_poor,axiom,
% 64.16/64.31 ( a_truth(rich(X),Y)
% 64.16/64.31 | a_truth(poor(X),Y) ) ).
% 64.16/64.31
% 64.16/64.31 cnf(knights_tell_truth1,axiom,
% 64.16/64.31 ( ~ a_truth(knight(X),Z)
% 64.16/64.31 | ~ says(X,Y)
% 64.16/64.31 | a_truth(Y,Z) ) ).
% 64.16/64.31
% 64.16/64.31 cnf(knights_tell_truth2,axiom,
% 64.16/64.31 ( ~ a_truth(knight(X),Z)
% 64.16/64.31 | says(X,Y)
% 64.16/64.31 | ~ a_truth(Y,Z) ) ).
% 64.16/64.31
% 64.16/64.31 cnf(knaves_lie1,axiom,
% 64.16/64.31 ( ~ a_truth(knave(X),Z)
% 64.16/64.31 | ~ says(X,Y)
% 64.16/64.31 | ~ a_truth(Y,Z) ) ).
% 64.16/64.31
% 64.16/64.31 cnf(knaves_lie2,axiom,
% 64.16/64.31 ( ~ a_truth(knave(X),Z)
% 64.16/64.31 | says(X,Y)
% 64.16/64.31 | a_truth(Y,Z) ) ).
% 64.16/64.31
% 64.16/64.31 cnf(conjunction1,axiom,
% 64.16/64.31 ( ~ a_truth(and(X,Y),Z)
% 64.16/64.31 | a_truth(X,Z) ) ).
% 64.16/64.31
% 64.16/64.31 cnf(conjunction2,axiom,
% 64.16/64.31 ( ~ a_truth(and(X,Y),Z)
% 64.16/64.31 | a_truth(Y,Z) ) ).
% 64.16/64.31
% 64.16/64.31 cnf(conjunction3,axiom,
% 64.16/64.31 ( a_truth(and(X,Y),Z)
% 64.16/64.31 | ~ a_truth(X,Z)
% 64.16/64.31 | ~ a_truth(Y,Z) ) ).
% 64.16/64.31
% 64.16/64.31 cnf(prove_statement_exists1,negated_conjecture,
% 64.16/64.31 ( ~ says(me,X)
% 64.16/64.31 | ~ a_truth(and(knave(me),rich(me)),X) ) ).
% 64.16/64.31
% 64.16/64.31 cnf(prove_statement_exists2,negated_conjecture,
% 64.16/64.31 ( says(me,X)
% 64.16/64.31 | a_truth(and(knave(me),rich(me)),X) ) ).
% 64.16/64.31
% 64.16/64.31 %--------------------------------------------------------------------------
% 64.16/64.31 %-------------------------------------------
% 64.16/64.31 % Proof found
% 64.16/64.31 % SZS status Theorem for theBenchmark
% 64.16/64.31 % SZS output start Proof
% 64.16/64.31 %ClaNum:13(EqnAxiom:0)
% 64.16/64.31 %VarNum:61(SingletonVarNum:31)
% 64.16/64.31 %MaxLitNum:3
% 64.16/64.31 %MaxfuncDepth:2
% 64.16/64.31 %SharedTerms:4
% 64.16/64.31 %goalClause: 6 13
% 64.16/64.31 [6]P2(a6,x61)+P1(f3(f2(a6),f4(a6)),x61)
% 64.16/64.31 [13]~P2(a6,x131)+~P1(f3(f2(a6),f4(a6)),x131)
% 64.16/64.31 [1]P1(f2(x11),x12)+P1(f1(x11),x12)
% 64.16/64.31 [2]P1(f5(x21),x22)+P1(f4(x21),x22)
% 64.16/64.31 [4]~P1(f2(x41),x42)+~P1(f1(x41),x42)
% 64.16/64.31 [5]~P1(f5(x51),x52)+~P1(f4(x51),x52)
% 64.16/64.31 [10]P1(x101,x102)+~P1(f3(x103,x101),x102)
% 64.16/64.31 [11]P1(x111,x112)+~P1(f3(x111,x113),x112)
% 64.16/64.31 [3]P1(x31,x32)+P2(x33,x31)+~P1(f2(x33),x32)
% 64.16/64.31 [7]P1(x71,x72)+~P2(x73,x71)+~P1(f1(x73),x72)
% 64.16/64.31 [8]P2(x81,x82)+~P1(x82,x83)+~P1(f1(x81),x83)
% 64.16/64.31 [9]~P1(x91,x92)+~P2(x93,x91)+~P1(f2(x93),x92)
% 64.16/64.31 [12]~P1(x122,x123)+~P1(x121,x123)+P1(f3(x121,x122),x123)
% 64.16/64.31 %EqnAxiom
% 64.16/64.31
% 64.16/64.31 %-------------------------------------------
% 64.16/64.32 cnf(20,plain,
% 64.16/64.32 (~P2(x201,f5(x202))+~P1(f1(x201),x203)+~P1(f4(x202),x203)),
% 64.16/64.32 inference(scs_inference,[],[7,5])).
% 64.16/64.32 cnf(21,plain,
% 64.16/64.32 (~P1(x211,x212)+~P1(f1(a6),x212)+~P1(f3(f2(a6),f4(a6)),x211)),
% 64.16/64.32 inference(scs_inference,[],[8,13])).
% 64.16/64.32 cnf(22,plain,
% 64.16/64.32 (~P2(x221,f2(x222))+~P1(f2(x221),x223)+P1(f1(x222),x223)),
% 64.16/64.32 inference(scs_inference,[],[9,1])).
% 64.16/64.32 cnf(25,plain,
% 64.16/64.32 (~P2(x251,f5(x252))+~P1(f1(x251),x253)+~P1(f3(f4(x252),x254),x253)),
% 64.16/64.32 inference(scs_inference,[],[20,11])).
% 64.16/64.32 cnf(33,plain,
% 64.16/64.32 (P1(x331,x332)+~P2(x333,x331)+P1(f2(x333),x332)),
% 64.16/64.32 inference(scs_inference,[],[1,7])).
% 64.16/64.32 cnf(34,plain,
% 64.16/64.32 (P1(x341,x342)+P1(x343,x342)+~P2(x344,x341)+P2(x344,x343)),
% 64.16/64.32 inference(scs_inference,[],[33,3])).
% 64.16/64.32 cnf(42,plain,
% 64.16/64.32 (P2(x421,f1(x422))+~P1(f1(x421),x423)+P1(f2(x422),x423)),
% 64.16/64.32 inference(scs_inference,[],[1,8])).
% 64.16/64.32 cnf(44,plain,
% 64.16/64.32 (~P1(x441,x442)+~P2(x443,x441)+P1(f1(x443),x442)),
% 64.16/64.32 inference(scs_inference,[],[1,9])).
% 64.16/64.32 cnf(45,plain,
% 64.16/64.32 (~P1(x451,x452)+P1(x453,x452)+~P2(x454,x451)+~P2(x454,x453)),
% 64.16/64.32 inference(scs_inference,[],[44,7])).
% 64.16/64.32 cnf(46,plain,
% 64.16/64.32 (~P1(x461,x462)+P1(f3(x461,f1(x463)),x462)+P1(f2(x463),x462)),
% 64.16/64.32 inference(scs_inference,[],[1,12])).
% 64.16/64.32 cnf(48,plain,
% 64.16/64.32 (~P1(f3(f2(a6),f4(a6)),f2(x481))+~P1(f1(a6),x482)+P1(f1(x481),x482)),
% 64.16/64.32 inference(scs_inference,[],[1,21])).
% 64.16/64.32 cnf(49,plain,
% 64.16/64.32 (~P1(f4(x491),x492)+~P2(x493,f5(x491))+~P1(f3(f2(a6),f4(a6)),f2(x493))+~P1(f1(a6),x492)),
% 64.16/64.32 inference(scs_inference,[],[48,20])).
% 64.16/64.32 cnf(56,plain,
% 64.16/64.32 (P1(x561,x562)+P2(x563,x561)+P1(f1(x563),x562)),
% 64.16/64.32 inference(scs_inference,[],[1,3])).
% 64.16/64.32 cnf(58,plain,
% 64.16/64.32 (~P2(x581,f1(x582))+~P1(f2(x581),x583)+P1(f2(x582),x583)),
% 64.16/64.32 inference(scs_inference,[],[1,9])).
% 64.16/64.32 cnf(59,plain,
% 64.16/64.32 (~P2(x591,f1(x592))+~P1(f2(x591),x593)+~P1(x594,x593)+P1(f3(x594,f2(x592)),x593)),
% 64.16/64.32 inference(scs_inference,[],[58,12])).
% 64.16/64.32 cnf(62,plain,
% 64.16/64.32 (~P1(f4(x621),x622)+~P2(x623,f5(x621))+P1(f2(x623),x622)),
% 64.16/64.32 inference(scs_inference,[],[1,20])).
% 64.16/64.32 cnf(66,plain,
% 64.16/64.32 (~P2(x661,f5(x662))+~P1(f3(f4(x662),x663),x664)+P1(f2(x661),x664)),
% 64.16/64.32 inference(scs_inference,[],[1,25])).
% 64.16/64.32 cnf(78,plain,
% 64.16/64.32 (~P1(x781,x782)+P1(f1(x783),x782)+P1(f3(x781,f2(x783)),x782)),
% 64.16/64.32 inference(scs_inference,[],[1,12])).
% 64.16/64.32 cnf(82,plain,
% 64.16/64.32 (~P1(x821,x822)+P1(f1(x823),x822)+P1(f3(f2(x823),x821),x822)),
% 64.16/64.32 inference(scs_inference,[],[1,12])).
% 64.16/64.32 cnf(83,plain,
% 64.16/64.32 (~P1(f4(a6),x831)+P1(f1(a6),x831)+~P2(a6,x831)),
% 64.16/64.32 inference(scs_inference,[],[82,13])).
% 64.16/64.32 cnf(87,plain,
% 64.16/64.32 (~P1(x871,x872)+P1(f3(f1(x873),x871),x872)+P1(f2(x873),x872)),
% 64.16/64.32 inference(scs_inference,[],[1,12])).
% 64.16/64.32 cnf(88,plain,
% 64.16/64.32 (~P1(x881,x882)+P1(f3(f1(x883),x881),x882)+P1(x884,x882)+P2(x883,x884)),
% 64.16/64.32 inference(scs_inference,[],[87,3])).
% 64.16/64.32 cnf(91,plain,
% 64.16/64.32 (~P1(f3(f2(a6),f4(a6)),f1(x911))+~P1(f1(a6),x912)+P1(f2(x911),x912)),
% 64.16/64.32 inference(scs_inference,[],[1,21])).
% 64.16/64.32 cnf(93,plain,
% 64.16/64.32 (P1(f2(x931),x932)+~P2(x933,f1(x931))+P1(f1(x933),x932)),
% 64.16/64.32 inference(scs_inference,[],[1,58])).
% 64.16/64.32 cnf(94,plain,
% 64.16/64.32 (P1(f2(x941),x942)+P1(x943,x942)+~P2(x944,f1(x941))+~P2(x944,x943)),
% 64.16/64.32 inference(scs_inference,[],[93,7])).
% 64.16/64.32 cnf(97,plain,
% 64.16/64.32 (P1(f3(f2(x971),f2(x972)),x973)+P1(f1(x972),x973)+P1(f1(x971),x973)),
% 64.16/64.32 inference(scs_inference,[],[1,78])).
% 64.16/64.32 cnf(98,plain,
% 64.16/64.32 (P1(f1(x981),x982)+P1(f3(f2(x981),f2(x983)),x982)+~P2(x984,f1(x983))+~P1(f2(x984),x982)),
% 64.16/64.32 inference(scs_inference,[],[97,9])).
% 64.16/64.32 cnf(99,plain,
% 64.16/64.32 (P1(f2(x991),x992)+P1(f3(f1(x993),f1(x991)),x992)+P1(f2(x993),x992)),
% 64.16/64.32 inference(scs_inference,[],[1,46])).
% 64.16/64.32 cnf(103,plain,
% 64.16/64.32 (~P1(x1031,x1032)+~P1(f3(f2(a6),f4(a6)),x1031)+P1(f2(a6),x1032)),
% 64.16/64.32 inference(scs_inference,[],[1,21])).
% 64.16/64.32 cnf(104,plain,
% 64.16/64.32 (~P1(f3(f2(a6),f4(a6)),f5(x1041))+P1(f2(a6),x1042)+P1(f4(x1041),x1042)),
% 64.16/64.32 inference(scs_inference,[],[103,2])).
% 64.16/64.32 cnf(105,plain,
% 64.16/64.32 (~P2(x1051,f5(x1052))+~P1(f1(x1051),x1053)+~P1(f3(f2(a6),f4(a6)),f5(x1052))+P1(f2(a6),x1053)),
% 64.16/64.32 inference(scs_inference,[],[104,20])).
% 64.16/64.32 cnf(115,plain,
% 64.16/64.32 (P1(f3(x1151,f2(x1152)),x1153)+~P2(x1154,f1(x1152))+~P1(x1151,x1153)+P1(f1(x1154),x1153)),
% 64.16/64.32 inference(scs_inference,[],[1,59])).
% 64.16/64.32 cnf(119,plain,
% 64.16/64.32 (P1(f1(x1191),x1192)+P1(f3(f2(x1191),f2(x1193)),x1192)+~P2(x1194,f1(x1193))+P1(f1(x1194),x1192)),
% 64.16/64.32 inference(scs_inference,[],[1,98])).
% 64.16/64.32 cnf(124,plain,
% 64.16/64.32 (~P2(x1241,f5(x1242))+~P1(f3(f2(a6),f4(a6)),f5(x1242))+P1(f2(a6),x1243)+P1(f2(x1241),x1243)),
% 64.16/64.32 inference(scs_inference,[],[1,105])).
% 64.16/64.32 cnf(147,plain,
% 64.16/64.32 (~P1(x1471,x1472)+P1(f4(x1473),x1472)+P1(f3(f5(x1473),x1471),x1472)),
% 64.16/64.32 inference(scs_inference,[],[2,12])).
% 64.16/64.32 cnf(155,plain,
% 64.16/64.32 (P1(f2(x1551),x1552)+P1(f3(f5(x1553),f1(x1551)),x1552)+P1(f4(x1553),x1552)),
% 64.16/64.32 inference(scs_inference,[],[2,46])).
% 64.16/64.32 cnf(156,plain,
% 64.16/64.32 (P1(f2(x1561),x1562)+P1(f3(f5(x1563),f1(x1561)),x1562)+~P2(x1564,f5(x1563))+~P1(f1(x1564),x1562)),
% 64.16/64.32 inference(scs_inference,[],[155,20])).
% 64.16/64.32 cnf(160,plain,
% 64.16/64.32 (P1(f3(f5(x1601),f5(x1602)),x1603)+P1(f4(x1601),x1603)+P1(f4(x1602),x1603)),
% 64.16/64.32 inference(scs_inference,[],[2,147])).
% 64.16/64.32 cnf(168,plain,
% 64.16/64.32 (P1(f1(a6),x1681)+~P2(a6,x1681)+P1(f5(a6),x1681)),
% 64.16/64.32 inference(scs_inference,[],[2,83])).
% 64.16/64.32 cnf(174,plain,
% 64.16/64.32 (~P2(x1741,f5(x1742))+P1(f4(x1742),x1743)+~P1(f2(x1741),x1743)),
% 64.16/64.32 inference(scs_inference,[],[2,9])).
% 64.16/64.32 cnf(175,plain,
% 64.16/64.32 (~P2(x1751,f5(x1752))+P1(f4(x1752),x1753)+~P1(f3(x1754,f2(x1751)),x1753)),
% 64.16/64.32 inference(scs_inference,[],[174,10])).
% 64.16/64.32 cnf(180,plain,
% 64.16/64.32 (~P1(x1801,x1802)+P1(f3(x1801,f4(x1803)),x1802)+P1(f5(x1803),x1802)),
% 64.16/64.32 inference(scs_inference,[],[2,12])).
% 64.16/64.32 cnf(184,plain,
% 64.16/64.32 (~P1(f3(f2(a6),f4(a6)),f4(x1841))+~P1(f1(a6),x1842)+P1(f5(x1841),x1842)),
% 64.16/64.32 inference(scs_inference,[],[2,21])).
% 64.16/64.32 cnf(199,plain,
% 64.16/64.32 (~P2(x1991,x1992)+P1(x1992,x1993)+~P2(x1991,f5(x1994))+P1(f4(x1994),x1993)),
% 64.16/64.32 inference(scs_inference,[],[2,45])).
% 64.16/64.32 cnf(200,plain,
% 64.16/64.32 (~P1(x2001,x2002)+P1(f3(f4(x2003),x2001),x2002)+P1(f5(x2003),x2002)),
% 64.16/64.32 inference(scs_inference,[],[2,12])).
% 64.16/64.32 cnf(209,plain,
% 64.16/64.32 (P1(f5(x2091),x2092)+P1(f3(f4(x2091),f4(x2093)),x2092)+P1(f5(x2093),x2092)),
% 64.16/64.32 inference(scs_inference,[],[2,200])).
% 64.16/64.32 cnf(210,plain,
% 64.16/64.32 (P1(f5(x2101),x2102)+P1(f3(f4(x2101),f4(x2103)),x2102)+~P2(x2104,f5(x2103))+~P1(f2(x2104),x2102)),
% 64.16/64.32 inference(scs_inference,[],[209,9])).
% 64.16/64.32 cnf(213,plain,
% 64.16/64.32 (P2(x2131,x2132)+P1(f3(f1(x2131),f5(x2133)),x2134)+P1(x2132,x2134)+P1(f4(x2133),x2134)),
% 64.16/64.32 inference(scs_inference,[],[2,88])).
% 64.16/64.32 cnf(226,plain,
% 64.16/64.32 (P1(f1(x2261),x2262)+P1(f3(f4(x2263),f2(x2264)),x2262)+~P2(x2261,f1(x2264))+P1(f5(x2263),x2262)),
% 64.16/64.32 inference(scs_inference,[],[2,115])).
% 64.16/64.32 cnf(235,plain,
% 64.16/64.32 (~P1(f2(x2351),x2352)+~P1(f3(x2353,f1(x2351)),x2352)),
% 64.16/64.32 inference(scs_inference,[],[4,10])).
% 64.16/64.32 cnf(236,plain,
% 64.16/64.32 (~P1(f3(x2361,f1(x2362)),x2363)+~P1(f3(f2(x2362),x2364),x2363)),
% 64.16/64.32 inference(scs_inference,[],[235,11])).
% 64.16/64.32 cnf(241,plain,
% 64.16/64.32 (~P1(f2(x2411),x2412)+~P1(f3(f1(x2411),x2413),x2412)),
% 64.16/64.32 inference(scs_inference,[],[4,11])).
% 64.16/64.32 cnf(243,plain,
% 64.16/64.32 (~P1(f1(x2431),x2432)+~P1(f3(f2(x2431),x2433),x2432)),
% 64.16/64.32 inference(scs_inference,[],[4,11])).
% 64.16/64.32 cnf(246,plain,
% 64.16/64.32 (~P2(x2461,f2(x2462))+~P1(f1(x2462),x2463)+~P1(f1(x2461),x2463)),
% 64.16/64.32 inference(scs_inference,[],[4,7])).
% 64.16/64.32 cnf(247,plain,
% 64.16/64.32 (~P2(x2471,f2(x2472))+~P1(f1(x2472),x2473)+P1(f2(x2471),x2473)),
% 64.16/64.32 inference(scs_inference,[],[246,1])).
% 64.16/64.32 cnf(248,plain,
% 64.16/64.32 (~P2(x2481,f2(x2482))+~P1(f3(x2483,f1(x2481)),x2484)+~P1(f1(x2482),x2484)),
% 64.16/64.32 inference(scs_inference,[],[247,235])).
% 64.16/64.32 cnf(249,plain,
% 64.16/64.32 (~P2(x2491,f2(x2492))+~P1(f3(x2493,f1(x2491)),x2494)+~P1(f3(x2495,f1(x2492)),x2494)),
% 64.16/64.32 inference(scs_inference,[],[248,10])).
% 64.16/64.32 cnf(250,plain,
% 64.16/64.32 (~P1(f3(x2501,f1(a6)),x2502)+~P1(f3(x2503,f1(x2504)),x2502)+P1(f3(f2(a6),f4(a6)),f2(x2504))),
% 64.16/64.32 inference(scs_inference,[],[249,6])).
% 64.16/64.32 cnf(263,plain,
% 64.16/64.32 (P1(f2(x2631),x2632)+~P2(x2631,f1(x2633))+~P1(f2(x2633),x2632)),
% 64.16/64.32 inference(scs_inference,[],[4,33])).
% 64.16/64.32 cnf(264,plain,
% 64.16/64.33 (P1(f2(x2641),x2642)+~P2(x2641,f1(x2643))+~P1(f3(x2644,f2(x2643)),x2642)),
% 64.16/64.33 inference(scs_inference,[],[263,10])).
% 64.16/64.33 cnf(295,plain,
% 64.16/64.33 (P1(f2(x2951),x2952)+~P2(x2951,f5(x2953))+~P1(f3(f2(a6),f4(a6)),f5(x2953))+~P1(f1(a6),x2952)),
% 64.16/64.33 inference(scs_inference,[],[4,124])).
% 64.16/64.33 cnf(299,plain,
% 64.16/64.33 (~P1(f1(x2991),x2992)+P1(f3(f5(x2993),f1(x2994)),x2992)+~P2(x2991,f5(x2993))+~P1(f1(x2994),x2992)),
% 64.16/64.33 inference(scs_inference,[],[4,156])).
% 64.16/64.33 cnf(335,plain,
% 64.16/64.33 (~P2(x3351,f5(x3352))+~P1(f3(f2(a6),f4(a6)),f5(x3352))+~P1(f1(a6),x3353)+~P1(f1(x3351),x3353)),
% 64.16/64.33 inference(scs_inference,[],[4,295])).
% 64.16/64.33 cnf(372,plain,
% 64.16/64.33 (~P1(f5(x3721),x3722)+~P1(f3(x3723,f4(x3721)),x3722)),
% 64.16/64.33 inference(scs_inference,[],[5,10])).
% 64.16/64.33 cnf(373,plain,
% 64.16/64.33 (~P1(f3(x3731,f4(x3732)),x3733)+~P1(f3(f5(x3732),x3734),x3733)),
% 64.16/64.33 inference(scs_inference,[],[372,11])).
% 64.16/64.33 cnf(376,plain,
% 64.16/64.33 (~P1(f4(x3761),x3762)+~P1(f3(x3763,f5(x3761)),x3762)),
% 64.16/64.33 inference(scs_inference,[],[5,10])).
% 64.16/64.33 cnf(377,plain,
% 64.16/64.33 (~P1(f3(x3771,f5(x3772)),x3773)+~P1(f3(f4(x3772),x3774),x3773)),
% 64.16/64.33 inference(scs_inference,[],[376,11])).
% 64.16/64.33 cnf(381,plain,
% 64.16/64.33 (~P1(f4(x3811),x3812)+~P1(f3(f5(x3811),x3813),x3812)),
% 64.16/64.33 inference(scs_inference,[],[5,11])).
% 64.16/64.33 cnf(415,plain,
% 64.16/64.33 (~P1(f2(x4151),x4152)+P1(f3(f4(x4153),f4(x4154)),x4152)+~P2(x4151,f5(x4154))+~P1(f4(x4153),x4152)),
% 64.16/64.33 inference(scs_inference,[],[5,210])).
% 64.16/64.33 cnf(435,plain,
% 64.16/64.33 (~P2(x4351,f5(x4352))+P1(f2(x4353),x4354)+~P2(x4351,f1(x4353))+~P1(f4(x4352),x4354)),
% 64.16/64.33 inference(scs_inference,[],[5,94])).
% 64.16/64.33 cnf(453,plain,
% 64.16/64.33 (P1(f4(x4531),x4532)+~P2(x4533,f5(x4534))+~P2(x4533,f5(x4531))+~P1(f4(x4534),x4532)),
% 64.16/64.33 inference(scs_inference,[],[5,199])).
% 64.16/64.33 cnf(469,plain,
% 64.16/64.33 (P2(x4691,x4692)+P1(x4692,x4693)+~P2(x4691,f5(x4694))+~P1(f4(x4694),x4693)),
% 64.16/64.33 inference(scs_inference,[],[5,34])).
% 64.16/64.33 cnf(470,plain,
% 64.16/64.33 (~P1(f4(x4701),x4702)+P2(x4703,f4(x4704))+~P2(x4703,f5(x4701))+~P1(f5(x4704),x4702)),
% 64.16/64.33 inference(scs_inference,[],[5,469])).
% 64.16/64.33 cnf(475,plain,
% 64.16/64.33 (~P2(x4751,f5(x4752))+~P1(x4753,x4754)+~P2(x4751,x4753)+~P1(f4(x4752),x4754)),
% 64.16/64.33 inference(scs_inference,[],[5,45])).
% 64.16/64.33 cnf(491,plain,
% 64.16/64.33 (P1(f4(x4911),x4912)+~P2(x4913,f4(x4914))+~P2(x4913,f5(x4911))+~P1(f5(x4914),x4912)),
% 64.16/64.33 inference(scs_inference,[],[5,199])).
% 64.16/64.33 cnf(493,plain,
% 64.16/64.33 (P1(f4(x4931),x4932)+P2(x4933,f4(x4934))+P1(f3(f1(x4933),f5(x4931)),x4932)+~P1(f5(x4934),x4932)),
% 64.16/64.33 inference(scs_inference,[],[5,213])).
% 64.16/64.33 cnf(505,plain,
% 64.16/64.33 (~P2(x5051,f4(x5052))+~P1(x5053,x5054)+~P2(x5051,x5053)+~P1(f5(x5052),x5054)),
% 64.16/64.33 inference(scs_inference,[],[5,45])).
% 64.16/64.33 cnf(508,plain,
% 64.16/64.33 (P1(f4(a6),x5081)+P2(a6,x5081)),
% 64.16/64.33 inference(scs_inference,[],[10,6])).
% 64.16/64.33 cnf(509,plain,
% 64.16/64.33 (P2(a6,x5091)+~P1(f5(a6),x5091)),
% 64.16/64.33 inference(scs_inference,[],[508,5])).
% 64.16/64.33 cnf(517,plain,
% 64.16/64.33 (~P1(f3(x5171,f5(a6)),x5172)+P2(a6,x5172)),
% 64.16/64.33 inference(scs_inference,[],[508,376])).
% 64.16/64.33 cnf(520,plain,
% 64.16/64.33 (P2(x5201,f4(a6))+P2(a6,x5202)+~P1(f1(x5201),x5202)),
% 64.16/64.33 inference(scs_inference,[],[508,8])).
% 64.16/64.33 cnf(521,plain,
% 64.16/64.33 (P2(x5211,f4(a6))+P1(f2(x5211),x5212)+P2(a6,x5212)),
% 64.16/64.33 inference(scs_inference,[],[520,1])).
% 64.16/64.33 cnf(551,plain,
% 64.16/64.33 (~P2(a6,f5(x5511))+~P1(f4(x5512),x5513)+P1(f4(x5511),x5513)+P1(f4(a6),f5(x5512))),
% 64.16/64.33 inference(scs_inference,[],[508,453])).
% 64.16/64.33 cnf(572,plain,
% 64.16/64.33 (P1(f5(x5721),x5722)+P1(f3(f4(a6),f4(x5721)),x5722)+P2(a6,x5722)),
% 64.16/64.33 inference(scs_inference,[],[508,180])).
% 64.16/64.33 cnf(573,plain,
% 64.16/64.33 (~P1(f3(x5731,f4(x5732)),x5733)+P1(f3(f4(a6),f4(x5732)),x5733)+P2(a6,x5733)),
% 64.16/64.33 inference(scs_inference,[],[572,372])).
% 64.16/64.33 cnf(574,plain,
% 64.16/64.33 (P1(f3(f4(a6),f4(a6)),x5741)+P2(a6,x5741)),
% 64.16/64.33 inference(scs_inference,[],[573,6])).
% 64.16/64.33 cnf(583,plain,
% 64.16/64.33 (~P1(f4(x5831),x5832)+~P1(f3(f2(a6),f4(a6)),f2(a6))+~P1(f1(a6),x5832)+P1(f4(a6),f5(x5831))),
% 64.16/64.33 inference(scs_inference,[],[508,49])).
% 64.16/64.33 cnf(606,plain,
% 64.16/64.33 (~P1(f2(a6),x6061)+P1(f3(f4(x6062),f4(x6063)),x6061)+~P1(f4(x6062),x6061)+P1(f4(a6),f5(x6063))),
% 64.16/64.33 inference(scs_inference,[],[508,415])).
% 64.16/64.33 cnf(619,plain,
% 64.16/64.33 (~P2(x6191,f1(x6192))+~P2(x6191,f5(a6))+P1(f2(x6192),x6193)+P2(a6,x6193)),
% 64.16/64.33 inference(scs_inference,[],[508,435])).
% 64.16/64.33 cnf(620,plain,
% 64.16/64.33 (~P2(a6,f1(x6201))+~P1(f4(x6202),x6203)+P1(f2(x6201),x6203)+P1(f4(a6),f5(x6202))),
% 64.16/64.33 inference(scs_inference,[],[508,435])).
% 64.16/64.33 cnf(638,plain,
% 64.16/64.33 (~P1(f5(x6381),x6382)+~P1(f4(x6383),x6382)+P2(a6,f4(x6381))+P1(f4(a6),f5(x6383))),
% 64.16/64.33 inference(scs_inference,[],[508,470])).
% 64.16/64.33 cnf(644,plain,
% 64.16/64.33 (~P2(a6,x6441)+~P1(f4(x6442),x6443)+~P1(x6441,x6443)+P1(f4(a6),f5(x6442))),
% 64.16/64.33 inference(scs_inference,[],[508,475])).
% 64.16/64.33 cnf(646,plain,
% 64.16/64.33 (~P1(f4(x6461),x6462)+~P2(a6,f5(x6461))+~P1(x6463,x6462)+P1(f4(a6),x6463)),
% 64.16/64.33 inference(scs_inference,[],[508,475])).
% 64.16/64.33 cnf(650,plain,
% 64.16/64.33 (~P2(a6,x6501)+~P1(f5(x6502),x6503)+~P1(x6501,x6503)+P1(f4(a6),f4(x6502))),
% 64.16/64.33 inference(scs_inference,[],[508,505])).
% 64.16/64.33 cnf(657,plain,
% 64.16/64.33 (P1(f4(x6571),x6572)+P1(f4(a6),f5(a6))+P2(a6,x6572)+~P2(a6,f5(x6571))),
% 64.16/64.33 inference(scs_inference,[],[508,551])).
% 64.16/64.33 cnf(678,plain,
% 64.16/64.33 (P1(f4(x6781),x6782)+P1(x6783,x6782)+~P2(a6,f5(x6781))+P1(f4(a6),x6783)),
% 64.16/64.33 inference(scs_inference,[],[508,199])).
% 64.16/64.33 cnf(697,plain,
% 64.16/64.33 (~P1(f5(x6971),x6972)+P1(f4(a6),f5(a6))+P2(a6,x6972)+P2(a6,f4(x6971))),
% 64.16/64.33 inference(scs_inference,[],[508,638])).
% 64.16/64.33 cnf(698,plain,
% 64.16/64.33 (~P1(x6981,x6982)+P1(x6983,x6982)+~P2(a6,x6981)+P1(f4(a6),x6983)),
% 64.16/64.33 inference(scs_inference,[],[508,45])).
% 64.16/64.33 cnf(710,plain,
% 64.16/64.33 (~P1(x7101,x7102)+P1(f4(a6),f5(a6))+P2(a6,x7102)+~P2(a6,x7101)),
% 64.16/64.33 inference(scs_inference,[],[508,644])).
% 64.16/64.33 cnf(798,plain,
% 64.16/64.33 (~P1(f4(x7981),x7982)+~P1(x7983,x7982)+~P1(f5(a6),f5(x7981))+P1(f4(a6),x7983)),
% 64.16/64.33 inference(scs_inference,[],[509,646])).
% 64.16/64.33 cnf(919,plain,
% 64.16/64.33 (~P2(a6,x9191)+~P1(x9192,x9193)+P1(x9191,x9193)+~P1(f5(a6),x9192)),
% 64.16/64.33 inference(scs_inference,[],[509,45])).
% 64.16/64.33 cnf(921,plain,
% 64.16/64.33 (P1(x9211,x9212)+~P1(x9213,x9212)+~P1(f5(a6),x9211)+~P1(f5(a6),x9213)),
% 64.16/64.33 inference(scs_inference,[],[509,919])).
% 64.16/64.33 cnf(922,plain,
% 64.16/64.33 (~P1(x9221,x9222)+~P1(f5(a6),f5(a6))+~P1(f5(a6),x9221)+P2(a6,x9222)),
% 64.16/64.33 inference(scs_inference,[],[509,921])).
% 64.16/64.33 cnf(933,plain,
% 64.16/64.33 (P1(x9331,x9332)+P2(x9333,f3(x9334,x9331))+~P1(f2(x9333),x9332)),
% 64.16/64.33 inference(scs_inference,[],[10,3])).
% 64.16/64.33 cnf(934,plain,
% 64.16/64.33 (P1(x9341,x9342)+P2(x9343,f3(x9344,x9341))+P1(f1(x9343),x9342)),
% 64.16/64.33 inference(scs_inference,[],[933,1])).
% 64.16/64.33 cnf(940,plain,
% 64.16/64.33 (P1(x9401,x9402)+~P2(x9403,f3(x9404,x9401))+~P1(f1(x9403),x9402)),
% 64.16/64.33 inference(scs_inference,[],[10,7])).
% 64.16/64.33 cnf(941,plain,
% 64.16/64.33 (P1(x9411,x9412)+~P2(x9413,f3(x9414,x9411))+P1(f2(x9413),x9412)),
% 64.16/64.33 inference(scs_inference,[],[940,1])).
% 64.16/64.33 cnf(961,plain,
% 64.16/64.33 (P1(f4(a6),f2(x9611))+~P1(f3(x9612,f1(x9611)),x9613)+~P1(f3(x9614,f1(a6)),x9613)),
% 64.16/64.33 inference(scs_inference,[],[10,250])).
% 64.16/64.33 cnf(989,plain,
% 64.16/64.33 (P1(f2(a6),x9891)+P2(a6,x9891)),
% 64.16/64.33 inference(scs_inference,[],[11,6])).
% 64.16/64.33 cnf(990,plain,
% 64.16/64.33 (P2(a6,x9901)+~P1(f1(a6),x9901)),
% 64.16/64.33 inference(scs_inference,[],[989,4])).
% 64.16/64.33 cnf(991,plain,
% 64.16/64.33 (P2(a6,x9911)+~P1(f3(x9912,f1(a6)),x9911)),
% 64.16/64.33 inference(scs_inference,[],[990,10])).
% 64.16/64.33 cnf(993,plain,
% 64.16/64.33 (~P1(f3(f1(a6),x9931),x9932)+P2(a6,x9932)),
% 64.16/64.33 inference(scs_inference,[],[989,241])).
% 64.16/64.33 cnf(995,plain,
% 64.16/64.33 (P1(x9951,x9952)+P2(a6,x9951)+P2(a6,x9952)),
% 64.16/64.33 inference(scs_inference,[],[989,3])).
% 64.16/64.33 cnf(996,plain,
% 64.16/64.33 (P2(a6,f5(a6))),
% 64.16/64.33 inference(scs_inference,[],[995,922])).
% 64.16/64.33 cnf(1010,plain,
% 64.16/64.33 (P1(f5(a6),x10101)+~P1(f1(a6),x10101)),
% 64.16/64.33 inference(scs_inference,[],[996,7])).
% 64.16/64.33 cnf(1012,plain,
% 64.16/64.33 (~P2(a6,f4(a6))+~P1(f1(a6),x10121)),
% 64.16/64.33 inference(scs_inference,[],[996,7,475,491])).
% 64.16/64.33 cnf(1018,plain,
% 64.16/64.33 (P1(f4(a6),f4(a6))+~P1(f1(a6),f5(x10181))),
% 64.16/64.33 inference(scs_inference,[],[996,7,475,491,493,551,650])).
% 64.16/64.33 cnf(1024,plain,
% 64.16/64.33 (~P1(f5(a6),f4(a6))+~P1(f1(a6),f5(a6))),
% 64.16/64.33 inference(scs_inference,[],[996,7,475,491,493,551,650,678,698,798])).
% 64.16/64.33 cnf(1028,plain,
% 64.16/64.33 (P1(f3(f4(a6),f4(a6)),f4(a6))+~P1(f1(a6),f5(a6))),
% 64.16/64.33 inference(scs_inference,[],[996,7,475,491,493,551,650,678,698,798,517,574])).
% 64.16/64.33 cnf(1032,plain,
% 64.16/64.33 (~P1(f1(a6),f4(a6))+~P1(f1(a6),f5(a6))),
% 64.16/64.33 inference(scs_inference,[],[996,7,475,491,493,551,650,678,698,798,517,574,989,990])).
% 64.16/64.33 cnf(1040,plain,
% 64.16/64.33 (~P2(a6,f2(a6))+~P1(f1(a6),f5(a6))),
% 64.16/64.33 inference(scs_inference,[],[996,7,475,491,493,551,650,678,698,798,517,574,989,990,991,993,377,22])).
% 64.16/64.33 cnf(1044,plain,
% 64.16/64.33 (P1(f1(a6),f5(a6))),
% 64.16/64.33 inference(scs_inference,[],[996,44,168])).
% 64.16/64.33 cnf(1047,plain,
% 64.16/64.33 (~P2(a6,f4(a6))),
% 64.16/64.33 inference(scs_inference,[],[1044,1012])).
% 64.16/64.33 cnf(1048,plain,
% 64.16/64.33 (P1(f4(a6),f4(a6))),
% 64.16/64.33 inference(scs_inference,[],[1044,1018])).
% 64.16/64.33 cnf(1049,plain,
% 64.16/64.33 (~P1(f5(a6),f4(a6))),
% 64.16/64.33 inference(scs_inference,[],[1044,1024])).
% 64.16/64.33 cnf(1051,plain,
% 64.16/64.33 (P1(f3(f4(a6),f4(a6)),f4(a6))),
% 64.16/64.33 inference(scs_inference,[],[1044,1028])).
% 64.16/64.33 cnf(1053,plain,
% 64.16/64.33 (~P1(f1(a6),f4(a6))),
% 64.16/64.33 inference(scs_inference,[],[1044,1032])).
% 64.16/64.33 cnf(1057,plain,
% 64.16/64.33 (~P2(a6,f2(a6))),
% 64.16/64.33 inference(scs_inference,[],[1044,1040])).
% 64.16/64.33 cnf(1058,plain,
% 64.16/64.33 (P1(f5(a6),f5(a6))),
% 64.16/64.33 inference(scs_inference,[],[996,1044,7])).
% 64.16/64.33 cnf(1060,plain,
% 64.16/64.33 (~P1(f2(a6),f5(a6))),
% 64.16/64.33 inference(scs_inference,[],[996,1044,7,9])).
% 64.16/64.33 cnf(1062,plain,
% 64.16/64.33 (P2(a6,f1(a6))),
% 64.16/64.33 inference(scs_inference,[],[996,1044,7,9,42])).
% 64.16/64.33 cnf(1066,plain,
% 64.16/64.33 (~P1(f4(a6),f5(a6))),
% 64.16/64.33 inference(scs_inference,[],[996,1044,7,9,42,46,62])).
% 64.16/64.33 cnf(1068,plain,
% 64.16/64.33 (~P1(f3(f2(a6),f4(a6)),f1(a6))),
% 64.16/64.33 inference(scs_inference,[],[996,1044,7,9,42,46,62,91])).
% 64.16/64.33 cnf(1072,plain,
% 64.16/64.33 (P1(f3(f2(a6),f4(a6)),f2(a6))),
% 64.16/64.33 inference(scs_inference,[],[996,1044,7,9,42,46,62,91,175,250])).
% 64.16/64.33 cnf(1108,plain,
% 64.16/64.33 (~P1(f1(a6),f3(f2(a6),f4(a6)))),
% 64.16/64.33 inference(scs_inference,[],[996,1044,7,9,42,46,62,91,175,250,940,160,961,798,475,49,119,213,226,299,335,619,620,644,657,710,606,1010])).
% 64.16/64.33 cnf(1114,plain,
% 64.16/64.33 (~P1(f3(f2(a6),x11141),f5(a6))),
% 64.16/64.33 inference(scs_inference,[],[996,1044,7,9,42,46,62,91,175,250,940,160,961,798,475,49,119,213,226,299,335,619,620,644,657,710,606,1010,377,236,243])).
% 64.16/64.33 cnf(1126,plain,
% 64.16/64.33 (~P2(a6,f3(f2(a6),f4(a6)))),
% 64.16/64.33 inference(scs_inference,[],[996,1044,7,9,42,46,62,91,175,250,940,160,961,798,475,49,119,213,226,299,335,619,620,644,657,710,606,1010,377,236,243,373,241,381,44,21,168])).
% 64.16/64.33 cnf(1189,plain,
% 64.16/64.33 (~P1(f4(x11891),x11892)+~P1(f1(a6),x11892)+P1(f4(a6),f5(x11891))),
% 64.16/64.33 inference(scs_inference,[],[1072,583])).
% 64.16/64.33 cnf(1191,plain,
% 64.16/64.33 (P1(f4(x11911),x11912)+P2(a6,x11912)+~P2(a6,f5(x11911))),
% 64.16/64.33 inference(scs_inference,[],[1066,657])).
% 64.16/64.33 cnf(1197,plain,
% 64.16/64.33 (~P1(f5(x11971),x11972)+P2(a6,x11972)+P2(a6,f4(x11971))),
% 64.16/64.33 inference(scs_inference,[],[1066,697])).
% 64.16/64.33 cnf(1288,plain,
% 64.16/64.33 ($false),
% 64.16/64.33 inference(scs_inference,[],[996,1058,1047,1049,1068,1057,1062,1051,1114,1126,1108,1048,1060,1066,1053,373,6,934,78,56,941,3,93,99,66,184,264,520,521,1191,1197,97,1189,678,45]),
% 64.16/64.33 ['proof']).
% 64.16/64.33 % SZS output end Proof
% 64.16/64.33 % Total time :63.700000s
%------------------------------------------------------------------------------