TSTP Solution File: PUZ008-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PUZ008-3 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n026.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 13:10:51 EDT 2023
% Result : Unsatisfiable 0.17s 0.64s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ008-3 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 22:51:34 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.53 start to proof:theBenchmark
% 0.17/0.63 %-------------------------------------------
% 0.17/0.63 % File :CSE---1.6
% 0.17/0.63 % Problem :theBenchmark
% 0.17/0.63 % Transform :cnf
% 0.17/0.63 % Format :tptp:raw
% 0.17/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.17/0.63
% 0.17/0.63 % Result :Theorem 0.060000s
% 0.17/0.63 % Output :CNFRefutation 0.060000s
% 0.17/0.63 %-------------------------------------------
% 0.17/0.63 %--------------------------------------------------------------------------
% 0.17/0.63 % File : PUZ008-3 : TPTP v8.1.2. Released v1.2.0.
% 0.17/0.63 % Domain : Puzzles
% 0.17/0.63 % Problem : Missionaries and Cannibals
% 0.17/0.63 % Version : Especial.
% 0.17/0.63 % Theorem formulation : Declarative, without subsumers.
% 0.17/0.63 % English : There are 3 missionaries, 3 cannibals, and a boat on the west
% 0.17/0.63 % bank of a river. All wish to cross, but the boat holds
% 0.17/0.63 % at most 2 people. If the cannibals ever outnumber the
% 0.17/0.63 % missionaries on either bank of the river the outnumbered
% 0.17/0.63 % missionaries will be eaten. Can they all safely cross the
% 0.17/0.63 % river? If so, how? (The boat cannot cross empty.)
% 0.17/0.63
% 0.17/0.63 % Refs : [Rap95] Raptis (1995), Email to G. Sutcliffe
% 0.17/0.63 % Source : [Rap95]
% 0.17/0.63 % Names :
% 0.17/0.63
% 0.17/0.63 % Status : Unsatisfiable
% 0.17/0.63 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.15 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.07 v4.0.1, 0.00 v3.7.0, 0.14 v3.4.0, 0.20 v3.3.0, 0.00 v2.0.0
% 0.17/0.63 % Syntax : Number of clauses : 16 ( 4 unt; 0 nHn; 14 RR)
% 0.17/0.63 % Number of literals : 48 ( 0 equ; 33 neg)
% 0.17/0.63 % Maximal clause size : 4 ( 3 avg)
% 0.17/0.63 % Maximal term depth : 6 ( 2 avg)
% 0.17/0.63 % Number of predicates : 3 ( 3 usr; 0 prp; 2-3 aty)
% 0.17/0.63 % Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% 0.17/0.63 % Number of variables : 47 ( 3 sgn)
% 0.17/0.63 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.17/0.63
% 0.17/0.63 % Comments : This is a repaired version of PUZ008-1.
% 0.17/0.63 %--------------------------------------------------------------------------
% 0.17/0.63 %----Definition of safe
% 0.17/0.63 cnf(no_missionaries_is_safe,axiom,
% 0.17/0.63 safe(n0,X) ).
% 0.17/0.63
% 0.17/0.63 cnf(same_or_more_missionaries_is_safe,axiom,
% 0.17/0.63 ( ~ greater_or_equal(X,Y)
% 0.17/0.63 | safe(X,Y) ) ).
% 0.17/0.63
% 0.17/0.63 %----Definition of less than or equal
% 0.17/0.63 cnf(great_eq_base,axiom,
% 0.17/0.63 greater_or_equal(X,n0) ).
% 0.17/0.63
% 0.17/0.63 cnf(great_eq_recursive,axiom,
% 0.17/0.63 ( greater_or_equal(s(X),s(Y))
% 0.17/0.63 | ~ greater_or_equal(X,Y) ) ).
% 0.17/0.63
% 0.17/0.63 %----Moving cannibals only
% 0.17/0.63 cnf(cannibal_west_to_east,axiom,
% 0.17/0.63 ( ~ achievable(west(m(X),c(s(Y))),boatonwest,east(m(Z),c(W)))
% 0.17/0.63 | ~ safe(X,Y)
% 0.17/0.63 | ~ safe(Z,s(W))
% 0.17/0.63 | achievable(west(m(X),c(Y)),boatoneast,east(m(Z),c(s(W)))) ) ).
% 0.17/0.63
% 0.17/0.63 cnf(cannibal_east_to_west,axiom,
% 0.17/0.63 ( ~ achievable(west(m(X),c(Y)),boatoneast,east(m(Z),c(s(W))))
% 0.17/0.63 | ~ safe(X,s(Y))
% 0.17/0.63 | ~ safe(Z,W)
% 0.17/0.63 | achievable(west(m(X),c(s(Y))),boatonwest,east(m(Z),c(W))) ) ).
% 0.17/0.63
% 0.17/0.63 cnf(two_cannibals_west_to_east,axiom,
% 0.17/0.63 ( ~ achievable(west(m(X),c(s(s(Y)))),boatonwest,east(m(Z),c(W)))
% 0.17/0.63 | ~ safe(X,Y)
% 0.17/0.63 | ~ safe(Z,s(s(W)))
% 0.17/0.63 | achievable(west(m(X),c(Y)),boatoneast,east(m(Z),c(s(s(W))))) ) ).
% 0.17/0.63
% 0.17/0.63 cnf(two_cannibals_east_to_west,axiom,
% 0.17/0.64 ( ~ achievable(west(m(X),c(Y)),boatoneast,east(m(Z),c(s(s(W)))))
% 0.17/0.64 | ~ safe(X,s(s(Y)))
% 0.17/0.64 | ~ safe(Z,W)
% 0.17/0.64 | achievable(west(m(X),c(s(s(Y)))),boatonwest,east(m(Z),c(W))) ) ).
% 0.17/0.64
% 0.17/0.64 %----Moving missionaries only
% 0.17/0.64 cnf(missionary_west_to_east,axiom,
% 0.17/0.64 ( ~ achievable(west(m(s(X)),c(Y)),boatonwest,east(m(Z),c(W)))
% 0.17/0.64 | ~ safe(X,Y)
% 0.17/0.64 | ~ safe(s(Z),W)
% 0.17/0.64 | achievable(west(m(X),c(Y)),boatoneast,east(m(s(Z)),c(W))) ) ).
% 0.17/0.64
% 0.17/0.64 cnf(missionary_east_to_west,axiom,
% 0.17/0.64 ( ~ achievable(west(m(X),c(Y)),boatoneast,east(m(s(Z)),c(W)))
% 0.17/0.64 | ~ safe(s(X),Y)
% 0.17/0.64 | ~ safe(Z,W)
% 0.17/0.64 | achievable(west(m(s(X)),c(Y)),boatonwest,east(m(Z),c(W))) ) ).
% 0.17/0.64
% 0.17/0.64 cnf(two_missionaries_west_to_east,axiom,
% 0.17/0.64 ( ~ achievable(west(m(s(s(X))),c(Y)),boatonwest,east(m(Z),c(W)))
% 0.17/0.64 | ~ safe(X,Y)
% 0.17/0.64 | ~ safe(s(s(Z)),W)
% 0.17/0.64 | achievable(west(m(X),c(Y)),boatoneast,east(m(s(s(Z))),c(W))) ) ).
% 0.17/0.64
% 0.17/0.64 cnf(two_missionaries_east_to_west,axiom,
% 0.17/0.64 ( ~ achievable(west(m(X),c(Y)),boatoneast,east(m(s(s(Z))),c(W)))
% 0.17/0.64 | ~ safe(s(s(X)),Y)
% 0.17/0.64 | ~ safe(Z,W)
% 0.17/0.64 | achievable(west(m(s(s(X))),c(Y)),boatonwest,east(m(Z),c(W))) ) ).
% 0.17/0.64
% 0.17/0.64 %----Moving a missionary and a cannibal
% 0.17/0.64 cnf(missionary_and_cannibal_west_to_east,axiom,
% 0.17/0.64 ( ~ achievable(west(m(s(X)),c(s(Y))),boatonwest,east(m(Z),c(W)))
% 0.17/0.64 | ~ safe(X,Y)
% 0.17/0.64 | ~ safe(s(Z),s(W))
% 0.17/0.64 | achievable(west(m(X),c(Y)),boatoneast,east(m(s(Z)),c(s(W)))) ) ).
% 0.17/0.64
% 0.17/0.64 cnf(missionary_and_cannibal_east_to_west,axiom,
% 0.17/0.64 ( ~ achievable(west(m(X),c(Y)),boatoneast,east(m(s(Z)),c(s(W))))
% 0.17/0.64 | ~ safe(s(X),s(Y))
% 0.17/0.64 | ~ safe(Z,W)
% 0.17/0.64 | achievable(west(m(s(X)),c(s(Y))),boatonwest,east(m(Z),c(W))) ) ).
% 0.17/0.64
% 0.17/0.64 %----The passive clauses are removed
% 0.17/0.64 %----input_clause(extra_cannibal_meal_on_west_bank,axiom,
% 0.17/0.64 %---- [++achievable(west(m(s(X)),c(s(s(X)))),Y,east(Z,W))]).
% 0.17/0.64 %----
% 0.17/0.64 %----input_clause(two_extra_cannibals_meal_on_west_bank,axiom,
% 0.17/0.64 %---- [++achievable(west(m(s(X)),c(s(s(s(X))))),Y,east(Z,W))]).
% 0.17/0.64 %----
% 0.17/0.64 %----input_clause(extra_cannibal_meal_on_east_bank,axiom,
% 0.17/0.64 %---- [++achievable(west(X,Y),Z,east(m(s(W)),c(s(s(W)))))]).
% 0.17/0.64 %----
% 0.17/0.64 %----input_clause(two_extra_cannibals_meal_on_east_bank,axiom,
% 0.17/0.64 %---- [++achievable(west(X,Y),Z,east(m(s(W)),c(s(s(s(W))))))]).
% 0.17/0.64
% 0.17/0.64 %----Initial state
% 0.17/0.64 cnf(start_on_west_bank,hypothesis,
% 0.17/0.64 achievable(west(m(s(s(s(n0)))),c(s(s(s(n0))))),boatonwest,east(m(n0),c(n0))) ).
% 0.17/0.64
% 0.17/0.64 %----Final state
% 0.17/0.64 cnf(prove_can_get_to_east_bank,negated_conjecture,
% 0.17/0.64 ~ achievable(west(m(n0),c(n0)),X,east(m(s(s(s(n0)))),c(s(s(s(n0)))))) ).
% 0.17/0.64
% 0.17/0.64 %--------------------------------------------------------------------------
% 0.17/0.64 %-------------------------------------------
% 0.17/0.64 % Proof found
% 0.17/0.64 % SZS status Theorem for theBenchmark
% 0.17/0.64 % SZS output start Proof
% 0.17/0.64 %ClaNum:16(EqnAxiom:0)
% 0.17/0.64 %VarNum:131(SingletonVarNum:47)
% 0.17/0.64 %MaxLitNum:4
% 0.17/0.64 %MaxfuncDepth:5
% 0.17/0.64 %SharedTerms:15
% 0.17/0.64 %goalClause: 4
% 0.17/0.64 %singleGoalClaCount:1
% 0.17/0.64 [3]P2(f8(f2(f7(f7(f7(a1)))),f3(f7(f7(f7(a1))))),a4,f6(f2(a1),f3(a1)))
% 0.17/0.64 [1]P1(x11,a1)
% 0.17/0.64 [2]P3(a1,x21)
% 0.17/0.64 [4]~P2(f8(f2(a1),f3(a1)),x41,f6(f2(f7(f7(f7(a1)))),f3(f7(f7(f7(a1))))))
% 0.17/0.64 [5]~P1(x51,x52)+P3(x51,x52)
% 0.17/0.64 [6]~P1(x61,x62)+P1(f7(x61),f7(x62))
% 0.17/0.64 [8]~P3(x81,x82)+~P3(f7(x83),x84)+P2(f8(f2(x81),f3(x82)),a5,f6(f2(f7(x83)),f3(x84)))+~P2(f8(f2(f7(x81)),f3(x82)),a4,f6(f2(x83),f3(x84)))
% 0.17/0.64 [10]~P3(x103,x104)+~P3(f7(x101),x102)+P2(f8(f2(f7(x101)),f3(x102)),a4,f6(f2(x103),f3(x104)))+~P2(f8(f2(x101),f3(x102)),a5,f6(f2(f7(x103)),f3(x104)))
% 0.17/0.64 [14]~P3(x141,x142)+P2(f8(f2(x141),f3(x142)),a5,f6(f2(f7(f7(x143))),f3(x144)))+~P2(f8(f2(f7(f7(x141))),f3(x142)),a4,f6(f2(x143),f3(x144)))+~P3(f7(f7(x143)),x144)
% 0.17/0.64 [16]~P3(x163,x164)+~P3(f7(f7(x161)),x162)+P2(f8(f2(f7(f7(x161))),f3(x162)),a4,f6(f2(x163),f3(x164)))+~P2(f8(f2(x161),f3(x162)),a5,f6(f2(f7(f7(x163))),f3(x164)))
% 0.17/0.64 [7]~P3(x71,x72)+~P3(x73,f7(x74))+~P2(f8(f2(x71),f3(f7(x72))),a4,f6(f2(x73),f3(x74)))+P2(f8(f2(x71),f3(x72)),a5,f6(f2(x73),f3(f7(x74))))
% 0.17/0.64 [9]~P3(x93,x94)+~P3(x91,f7(x92))+~P2(f8(f2(x91),f3(x92)),a5,f6(f2(x93),f3(f7(x94))))+P2(f8(f2(x91),f3(f7(x92))),a4,f6(f2(x93),f3(x94)))
% 0.17/0.64 [11]~P3(x111,x112)+~P3(f7(x113),f7(x114))+~P2(f8(f2(f7(x111)),f3(f7(x112))),a4,f6(f2(x113),f3(x114)))+P2(f8(f2(x111),f3(x112)),a5,f6(f2(f7(x113)),f3(f7(x114))))
% 0.17/0.64 [12]~P3(x123,x124)+~P3(f7(x121),f7(x122))+~P2(f8(f2(x121),f3(x122)),a5,f6(f2(f7(x123)),f3(f7(x124))))+P2(f8(f2(f7(x121)),f3(f7(x122))),a4,f6(f2(x123),f3(x124)))
% 0.17/0.64 [13]~P3(x131,x132)+~P3(x133,f7(f7(x134)))+~P2(f8(f2(x131),f3(f7(f7(x132)))),a4,f6(f2(x133),f3(x134)))+P2(f8(f2(x131),f3(x132)),a5,f6(f2(x133),f3(f7(f7(x134)))))
% 0.17/0.64 [15]~P3(x153,x154)+~P3(x151,f7(f7(x152)))+~P2(f8(f2(x151),f3(x152)),a5,f6(f2(x153),f3(f7(f7(x154)))))+P2(f8(f2(x151),f3(f7(f7(x152)))),a4,f6(f2(x153),f3(x154)))
% 0.17/0.64 %EqnAxiom
% 0.17/0.64
% 0.17/0.64 %-------------------------------------------
% 0.17/0.64 cnf(17,plain,
% 0.17/0.64 (P3(x171,a1)),
% 0.17/0.64 inference(scs_inference,[],[1,5])).
% 0.17/0.64 cnf(18,plain,
% 0.17/0.64 (P1(f7(x181),f7(a1))),
% 0.17/0.64 inference(scs_inference,[],[1,5,6])).
% 0.17/0.64 cnf(43,plain,
% 0.17/0.64 (P3(a1,x431)),
% 0.17/0.64 inference(rename_variables,[],[2])).
% 0.17/0.64 cnf(51,plain,
% 0.17/0.64 (~P1(f7(f7(a1)),f7(f7(a1)))+~P2(f8(f2(f7(a1)),f3(f7(a1))),a4,f6(f2(f7(f7(a1))),f3(f7(f7(a1)))))),
% 0.17/0.64 inference(scs_inference,[],[4,3,2,43,7,11,5,6])).
% 0.17/0.64 cnf(53,plain,
% 0.17/0.64 (P3(f7(x531),f7(a1))),
% 0.17/0.64 inference(scs_inference,[],[18,5])).
% 0.17/0.64 cnf(55,plain,
% 0.17/0.64 (P1(f7(f7(x551)),f7(f7(a1)))),
% 0.17/0.64 inference(scs_inference,[],[18,5,6])).
% 0.17/0.64 cnf(84,plain,
% 0.17/0.64 (~P2(f8(f2(f7(a1)),f3(f7(a1))),a4,f6(f2(f7(f7(a1))),f3(f7(f7(a1)))))),
% 0.17/0.64 inference(scs_inference,[],[55,51])).
% 0.17/0.64 cnf(87,plain,
% 0.17/0.64 (P3(x871,a1)),
% 0.17/0.64 inference(rename_variables,[],[17])).
% 0.17/0.64 cnf(90,plain,
% 0.17/0.64 (P3(f7(x901),f7(a1))),
% 0.17/0.64 inference(rename_variables,[],[53])).
% 0.17/0.64 cnf(91,plain,
% 0.17/0.64 (P3(a1,x911)),
% 0.17/0.64 inference(rename_variables,[],[2])).
% 0.17/0.64 cnf(95,plain,
% 0.17/0.64 (P3(x951,a1)),
% 0.17/0.64 inference(rename_variables,[],[17])).
% 0.17/0.64 cnf(97,plain,
% 0.17/0.64 (~P2(f8(f2(a1),f3(x971)),a5,f6(f2(x972),f3(f7(a1))))+P2(f8(f2(a1),f3(f7(x971))),a4,f6(f2(x972),f3(a1)))),
% 0.17/0.64 inference(scs_inference,[],[17,87,95,3,2,91,53,14,13,10,9])).
% 0.17/0.64 cnf(100,plain,
% 0.17/0.64 (~P3(f7(f7(a1)),f7(f7(a1)))+P2(f8(f2(f7(f7(a1))),f3(f7(f7(a1)))),a5,f6(f2(f7(a1)),f3(f7(a1))))),
% 0.17/0.64 inference(scs_inference,[],[17,87,95,3,2,91,53,90,14,13,10,9,11])).
% 0.17/0.64 cnf(118,plain,
% 0.17/0.64 (P1(f7(f7(f7(x1181))),f7(f7(f7(a1))))),
% 0.17/0.64 inference(scs_inference,[],[55,6])).
% 0.17/0.64 cnf(120,plain,
% 0.17/0.64 (P3(f7(f7(x1201)),f7(f7(a1)))),
% 0.17/0.64 inference(scs_inference,[],[55,6,5])).
% 0.17/0.64 cnf(123,plain,
% 0.17/0.64 (~P2(f8(f2(f7(f7(a1))),f3(x1231)),a4,f6(f2(x1232),f3(f7(a1))))+P2(f8(f2(a1),f3(x1231)),a5,f6(f2(f7(f7(x1232))),f3(f7(a1))))),
% 0.17/0.64 inference(scs_inference,[],[2,55,53,6,5,100,14])).
% 0.17/0.64 cnf(124,plain,
% 0.17/0.64 (P3(f7(x1241),f7(a1))),
% 0.17/0.64 inference(rename_variables,[],[53])).
% 0.17/0.64 cnf(126,plain,
% 0.17/0.64 (P2(f8(f2(a1),f3(f7(f7(a1)))),a5,f6(f2(f7(f7(f7(x1261)))),f3(f7(a1))))+~P2(f8(f2(f7(f7(a1))),f3(a1)),a5,f6(f2(f7(x1261)),f3(f7(f7(f7(a1))))))),
% 0.17/0.64 inference(scs_inference,[],[2,55,53,124,6,5,100,14,15])).
% 0.17/0.64 cnf(128,plain,
% 0.17/0.64 (P2(f8(f2(a1),f3(f7(f7(a1)))),a5,f6(f2(f7(f7(f7(x1281)))),f3(f7(a1))))+~P2(f8(f2(f7(a1)),f3(f7(a1))),a5,f6(f2(f7(f7(x1281))),f3(f7(f7(a1)))))),
% 0.17/0.64 inference(scs_inference,[],[2,55,53,124,6,5,100,14,15,12])).
% 0.17/0.64 cnf(130,plain,
% 0.17/0.64 (~P3(a1,f7(a1))+~P3(f7(f7(f7(a1))),f7(f7(a1)))+P2(f8(f2(f7(f7(f7(a1)))),f3(f7(f7(a1)))),a4,f6(f2(a1),f3(f7(a1))))+P2(f8(f2(a1),f3(f7(f7(a1)))),a5,f6(f2(f7(f7(f7(x1301)))),f3(f7(a1))))),
% 0.17/0.64 inference(scs_inference,[],[2,55,53,124,6,5,100,14,15,12,10])).
% 0.17/0.64 cnf(133,plain,
% 0.17/0.64 (P3(x1331,a1)),
% 0.17/0.64 inference(rename_variables,[],[17])).
% 0.17/0.64 cnf(135,plain,
% 0.17/0.64 (P2(f8(f2(a1),f3(f7(f7(a1)))),a5,f6(f2(f7(f7(f7(x1351)))),f3(f7(a1))))+~P3(f7(f7(f7(a1))),f7(f7(f7(a1))))+~P2(f8(f2(a1),f3(f7(f7(a1)))),a4,f6(f2(f7(f7(f7(a1)))),f3(f7(a1))))),
% 0.17/0.64 inference(scs_inference,[],[2,17,133,55,53,124,4,6,5,100,14,15,12,10,9,13])).
% 0.17/0.64 cnf(149,plain,
% 0.17/0.64 (~P2(f8(f2(a1),f3(f7(a1))),a5,f6(f2(f7(f7(f7(a1)))),f3(f7(f7(a1)))))),
% 0.17/0.64 inference(scs_inference,[],[84,120,53,10])).
% 0.17/0.64 cnf(170,plain,
% 0.17/0.64 (P2(f8(f2(f7(f7(f7(a1)))),f3(f7(f7(a1)))),a4,f6(f2(a1),f3(f7(a1))))+P2(f8(f2(a1),f3(f7(f7(a1)))),a5,f6(f2(f7(f7(f7(x1701)))),f3(f7(a1))))),
% 0.17/0.64 inference(scs_inference,[],[120,2,130])).
% 0.17/0.64 cnf(172,plain,
% 0.17/0.64 (P3(a1,x1721)),
% 0.17/0.64 inference(rename_variables,[],[2])).
% 0.17/0.64 cnf(173,plain,
% 0.17/0.64 (P3(f7(f7(x1731)),f7(f7(a1)))),
% 0.17/0.64 inference(rename_variables,[],[120])).
% 0.17/0.64 cnf(182,plain,
% 0.17/0.64 (~P2(f8(f2(a1),f3(f7(f7(a1)))),a5,f6(f2(f7(f7(f7(a1)))),f3(f7(a1))))),
% 0.17/0.64 inference(scs_inference,[],[53,17,149,120,173,2,172,14,16,13,97])).
% 0.17/0.64 cnf(203,plain,
% 0.17/0.64 (~P3(f7(f7(f7(a1))),f7(f7(f7(a1))))+~P2(f8(f2(a1),f3(f7(f7(a1)))),a4,f6(f2(f7(f7(f7(a1)))),f3(f7(a1))))),
% 0.17/0.64 inference(scs_inference,[],[182,135])).
% 0.17/0.64 cnf(205,plain,
% 0.17/0.64 (~P2(f8(f2(f7(a1)),f3(f7(a1))),a5,f6(f2(f7(f7(a1))),f3(f7(f7(a1)))))),
% 0.17/0.64 inference(scs_inference,[],[182,128])).
% 0.17/0.64 cnf(216,plain,
% 0.17/0.64 (P3(f7(f7(x2161)),f7(f7(a1)))),
% 0.17/0.64 inference(rename_variables,[],[120])).
% 0.17/0.64 cnf(217,plain,
% 0.17/0.64 (P3(f7(x2171),f7(a1))),
% 0.17/0.64 inference(rename_variables,[],[53])).
% 0.17/0.64 cnf(219,plain,
% 0.17/0.64 (~P2(f8(f2(f7(f7(a1))),f3(f7(a1))),a5,f6(f2(f7(a1)),f3(f7(f7(a1)))))),
% 0.17/0.64 inference(scs_inference,[],[53,217,118,182,120,216,128,126,123,6,5,10,9])).
% 0.17/0.64 cnf(221,plain,
% 0.17/0.64 (P3(f7(x2211),f7(a1))),
% 0.17/0.64 inference(rename_variables,[],[53])).
% 0.17/0.64 cnf(232,plain,
% 0.17/0.64 (P2(f8(f2(f7(f7(f7(a1)))),f3(f7(f7(a1)))),a4,f6(f2(a1),f3(f7(a1))))),
% 0.17/0.64 inference(scs_inference,[],[53,217,221,17,118,182,120,216,4,2,128,126,123,6,5,10,9,11,8,203,170])).
% 0.17/0.64 cnf(252,plain,
% 0.17/0.64 (P3(f7(x2521),f7(a1))),
% 0.17/0.64 inference(rename_variables,[],[53])).
% 0.17/0.64 cnf(257,plain,
% 0.17/0.64 (P3(a1,x2571)),
% 0.17/0.64 inference(rename_variables,[],[2])).
% 0.17/0.64 cnf(264,plain,
% 0.17/0.64 (P2(f8(f2(f7(f7(f7(a1)))),f3(f7(a1))),a4,f6(f2(a1),f3(f7(f7(a1)))))),
% 0.17/0.64 inference(scs_inference,[],[17,53,252,232,219,2,257,11,5,13,12,6,9])).
% 0.17/0.64 cnf(293,plain,
% 0.17/0.64 ($false),
% 0.17/0.64 inference(scs_inference,[],[53,205,264,120,14]),
% 0.17/0.64 ['proof']).
% 0.17/0.64 % SZS output end Proof
% 0.17/0.64 % Total time :0.060000s
%------------------------------------------------------------------------------