TSTP Solution File: PUZ129+2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : PUZ129+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n008.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 13:11:20 EDT 2023
% Result : Theorem 0.19s 0.83s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ129+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 22:09:32 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.19/0.82 %-------------------------------------------
% 0.19/0.82 % File :CSE---1.6
% 0.19/0.82 % Problem :theBenchmark
% 0.19/0.82 % Transform :cnf
% 0.19/0.82 % Format :tptp:raw
% 0.19/0.82 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.82
% 0.19/0.82 % Result :Theorem 0.240000s
% 0.19/0.82 % Output :CNFRefutation 0.240000s
% 0.19/0.82 %-------------------------------------------
% 0.19/0.82 %------------------------------------------------------------------------------
% 0.19/0.82 % File : PUZ129+2 : TPTP v8.1.2. Released v4.0.0.
% 0.19/0.82 % Domain : Puzzles
% 0.19/0.82 % Problem : The grocer is not a cyclist
% 0.19/0.82 % Version : Especial.
% 0.19/0.82 % Theorem formulation : Converted from ACE by the APE [FKK08].
% 0.19/0.82 % English : If every honest and industrious person is healthy, and no grocer
% 0.19/0.82 % is healthy, and every industrious grocer is honest, and every
% 0.19/0.82 % cyclist is industrious, and every unhealthy cyclist is dishonest,
% 0.19/0.82 % and no healthy person is unhealthy, and no honest person is
% 0.19/0.82 % dishonest, and every grocer is a person, and every cyclist is a
% 0.19/0.82 % person then no grocer is a cyclist.
% 0.19/0.82
% 0.19/0.82 % Refs : [FKK08] Fuchs et al. (2008), Attempto Controlled English for K
% 0.19/0.82 % Source : [TPTP]
% 0.19/0.82 % Names :
% 0.19/0.82
% 0.19/0.82 % Status : Theorem
% 0.19/0.82 % Rating : 0.11 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.03 v7.3.0, 0.14 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.04 v6.2.0, 0.12 v6.1.0, 0.20 v6.0.0, 0.13 v5.5.0, 0.11 v5.4.0, 0.14 v5.3.0, 0.22 v5.2.0, 0.10 v5.0.0, 0.04 v4.1.0, 0.09 v4.0.0
% 0.19/0.82 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.19/0.82 % Number of atoms : 36 ( 10 equ)
% 0.19/0.82 % Maximal formula atoms : 36 ( 36 avg)
% 0.19/0.82 % Number of connectives : 39 ( 4 ~; 0 |; 24 &)
% 0.19/0.82 % ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% 0.19/0.83 % Maximal formula depth : 14 ( 14 avg)
% 0.19/0.83 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.83 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty)
% 0.19/0.83 % Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% 0.19/0.83 % Number of variables : 20 ( 10 !; 10 ?)
% 0.19/0.83 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.83
% 0.19/0.83 % Comments :
% 0.19/0.83 %------------------------------------------------------------------------------
% 0.19/0.83 fof(prove,conjecture,
% 0.19/0.83 ( ( ! [A] :
% 0.19/0.83 ( ( person(A)
% 0.19/0.83 & property1(A,honest,pos)
% 0.19/0.83 & property1(A,industrious,pos) )
% 0.19/0.83 => ? [B] :
% 0.19/0.83 ( property1(B,healthy,pos)
% 0.19/0.83 & A = B ) )
% 0.19/0.83 & ! [C] :
% 0.19/0.83 ( grocer(C)
% 0.19/0.83 => ~ ? [D] :
% 0.19/0.83 ( property1(D,healthy,pos)
% 0.19/0.83 & C = D ) )
% 0.19/0.83 & ! [E] :
% 0.19/0.83 ( ( grocer(E)
% 0.19/0.83 & property1(E,industrious,pos) )
% 0.19/0.83 => ? [F] :
% 0.19/0.83 ( property1(F,honest,pos)
% 0.19/0.83 & E = F ) )
% 0.19/0.83 & ! [G] :
% 0.19/0.83 ( cyclist(G)
% 0.19/0.83 => ? [H] :
% 0.19/0.83 ( property1(H,industrious,pos)
% 0.19/0.83 & G = H ) )
% 0.19/0.83 & ! [I] :
% 0.19/0.83 ( ( cyclist(I)
% 0.19/0.83 & property1(I,unhealthy,pos) )
% 0.19/0.83 => ? [J] :
% 0.19/0.83 ( property1(J,dishonest,pos)
% 0.19/0.83 & I = J ) )
% 0.19/0.83 & ! [K] :
% 0.19/0.83 ( ( person(K)
% 0.19/0.83 & property1(K,healthy,pos) )
% 0.19/0.83 => ~ ? [L] :
% 0.19/0.83 ( property1(L,unhealthy,pos)
% 0.19/0.83 & K = L ) )
% 0.19/0.83 & ! [M] :
% 0.19/0.83 ( ( person(M)
% 0.19/0.83 & property1(M,honest,pos) )
% 0.19/0.83 => ~ ? [N] :
% 0.19/0.83 ( property1(N,dishonest,pos)
% 0.19/0.83 & M = N ) )
% 0.19/0.83 & ! [O] :
% 0.19/0.83 ( grocer(O)
% 0.19/0.83 => ? [P] :
% 0.19/0.83 ( person(P)
% 0.19/0.83 & O = P ) )
% 0.19/0.83 & ! [Q] :
% 0.19/0.83 ( cyclist(Q)
% 0.19/0.83 => ? [R] :
% 0.19/0.83 ( person(R)
% 0.19/0.83 & Q = R ) ) )
% 0.19/0.83 => ! [S] :
% 0.19/0.83 ( grocer(S)
% 0.19/0.83 => ~ ? [T] :
% 0.19/0.83 ( cyclist(T)
% 0.19/0.83 & S = T ) ) ) ).
% 0.19/0.83
% 0.19/0.83 %------------------------------------------------------------------------------
% 0.19/0.83 %-------------------------------------------
% 0.19/0.83 % Proof found
% 0.19/0.83 % SZS status Theorem for theBenchmark
% 0.19/0.83 % SZS output start Proof
% 0.19/0.83 %ClaNum:35(EqnAxiom:16)
% 0.19/0.83 %VarNum:52(SingletonVarNum:18)
% 0.19/0.83 %MaxLitNum:5
% 0.19/0.83 %MaxfuncDepth:1
% 0.19/0.83 %SharedTerms:14
% 0.19/0.83 %goalClause: 17 18 19 20
% 0.19/0.83 %singleGoalClaCount:4
% 0.19/0.83 [17]E(a1,a2)
% 0.19/0.83 [18]P1(a500)
% 0.19/0.83 [19]P3(a2)
% 0.19/0.83 [20]P2(a1)
% 0.19/0.83 [21]~P2(x211)+E(f4(x211),x211)+~P1(a500)
% 0.19/0.83 [22]~P3(x221)+E(f7(x221),x221)+~P1(a500)
% 0.19/0.83 [23]~P2(x231)+E(f9(x231),x231)+~P1(a500)
% 0.19/0.83 [24]~P3(x241)+P4(f7(x241))+~P1(a500)
% 0.19/0.83 [25]~P2(x251)+P4(f9(x251))+~P1(a500)
% 0.19/0.83 [26]~P2(x261)+P5(f4(x261),a10,a13)+~P1(a500)
% 0.19/0.83 [28]~P3(x281)+E(f5(x281),x281)+~P5(x281,a10,a13)+~P1(a500)
% 0.19/0.83 [29]~P2(x291)+E(f8(x291),x291)+~P5(x291,a14,a13)+~P1(a500)
% 0.19/0.83 [30]~P3(x301)+~P5(x301,a10,a13)+P5(f5(x301),a12,a13)+~P1(a500)
% 0.19/0.83 [31]~P2(x311)+~P5(x311,a14,a13)+P5(f8(x311),a3,a13)+~P1(a500)
% 0.19/0.83 [27]~P3(x271)+~E(x271,x272)+~P5(x272,a11,a13)+~P1(a500)
% 0.19/0.83 [34]~P4(x341)+E(f6(x341),x341)+~P5(x341,a12,a13)+~P5(x341,a10,a13)+~P1(a500)
% 0.19/0.83 [35]~P4(x351)+~P5(x351,a12,a13)+~P5(x351,a10,a13)+P5(f6(x351),a11,a13)+~P1(a500)
% 0.19/0.83 [32]~P4(x321)+~E(x321,x322)+~P5(x322,a14,a13)+~P5(x321,a11,a13)+~P1(a500)
% 0.19/0.83 [33]~P4(x331)+~E(x331,x332)+~P5(x332,a3,a13)+~P5(x331,a12,a13)+~P1(a500)
% 0.19/0.83 %EqnAxiom
% 0.19/0.83 [1]E(x11,x11)
% 0.19/0.83 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.83 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.83 [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 0.19/0.83 [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 0.19/0.83 [6]~E(x61,x62)+E(f9(x61),f9(x62))
% 0.19/0.83 [7]~E(x71,x72)+E(f6(x71),f6(x72))
% 0.19/0.83 [8]~E(x81,x82)+E(f8(x81),f8(x82))
% 0.19/0.83 [9]~E(x91,x92)+E(f5(x91),f5(x92))
% 0.19/0.83 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.19/0.83 [11]~P3(x111)+P3(x112)+~E(x111,x112)
% 0.19/0.83 [12]~P2(x121)+P2(x122)+~E(x121,x122)
% 0.19/0.83 [13]P5(x132,x133,x134)+~E(x131,x132)+~P5(x131,x133,x134)
% 0.19/0.83 [14]P5(x143,x142,x144)+~E(x141,x142)+~P5(x143,x141,x144)
% 0.19/0.83 [15]P5(x153,x154,x152)+~E(x151,x152)+~P5(x153,x154,x151)
% 0.19/0.83 [16]~P4(x161)+P4(x162)+~E(x161,x162)
% 0.19/0.83
% 0.19/0.83 %-------------------------------------------
% 0.19/0.83 cnf(36,plain,
% 0.19/0.83 (E(a2,a1)),
% 0.19/0.83 inference(scs_inference,[],[17,2])).
% 0.19/0.83 cnf(37,plain,
% 0.19/0.83 (P2(a2)),
% 0.19/0.83 inference(scs_inference,[],[17,20,2,12])).
% 0.19/0.83 cnf(38,plain,
% 0.19/0.83 (P3(a1)),
% 0.19/0.83 inference(scs_inference,[],[17,19,20,2,12,11])).
% 0.19/0.83 cnf(39,plain,
% 0.19/0.83 (E(f9(a1),a1)),
% 0.19/0.83 inference(scs_inference,[],[17,18,19,20,2,12,11,23])).
% 0.19/0.83 cnf(41,plain,
% 0.19/0.83 (E(f7(a2),a2)),
% 0.19/0.83 inference(scs_inference,[],[17,18,19,20,2,12,11,23,22])).
% 0.19/0.83 cnf(43,plain,
% 0.19/0.83 (E(f4(a1),a1)),
% 0.19/0.83 inference(scs_inference,[],[17,18,19,20,2,12,11,23,22,21])).
% 0.19/0.83 cnf(47,plain,
% 0.19/0.83 (E(f5(a1),f5(a2))),
% 0.19/0.83 inference(scs_inference,[],[17,18,19,20,2,12,11,23,22,21,27,9])).
% 0.19/0.83 cnf(48,plain,
% 0.19/0.83 (E(f8(a1),f8(a2))),
% 0.19/0.83 inference(scs_inference,[],[17,18,19,20,2,12,11,23,22,21,27,9,8])).
% 0.19/0.83 cnf(49,plain,
% 0.19/0.83 (E(f6(a1),f6(a2))),
% 0.19/0.83 inference(scs_inference,[],[17,18,19,20,2,12,11,23,22,21,27,9,8,7])).
% 0.19/0.83 cnf(50,plain,
% 0.19/0.83 (E(f9(a1),f9(a2))),
% 0.19/0.83 inference(scs_inference,[],[17,18,19,20,2,12,11,23,22,21,27,9,8,7,6])).
% 0.19/0.83 cnf(51,plain,
% 0.19/0.83 (E(f7(a1),f7(a2))),
% 0.19/0.83 inference(scs_inference,[],[17,18,19,20,2,12,11,23,22,21,27,9,8,7,6,5])).
% 0.19/0.83 cnf(52,plain,
% 0.19/0.83 (E(f4(a1),f4(a2))),
% 0.19/0.83 inference(scs_inference,[],[17,18,19,20,2,12,11,23,22,21,27,9,8,7,6,5,4])).
% 0.19/0.83 cnf(54,plain,
% 0.19/0.83 (~P5(a2,a11,a13)),
% 0.19/0.83 inference(scs_inference,[],[17,18,19,20,2,12,11,23,22,21,27,9,8,7,6,5,4,15,13])).
% 0.19/0.83 cnf(55,plain,
% 0.19/0.83 (P5(f4(a1),a10,a13)),
% 0.19/0.83 inference(scs_inference,[],[17,18,19,20,2,12,11,23,22,21,27,9,8,7,6,5,4,15,13,26])).
% 0.19/0.83 cnf(57,plain,
% 0.19/0.83 (P4(f9(a1))),
% 0.19/0.83 inference(scs_inference,[],[17,18,19,20,2,12,11,23,22,21,27,9,8,7,6,5,4,15,13,26,25])).
% 0.19/0.83 cnf(59,plain,
% 0.19/0.83 (P4(f7(a2))),
% 0.19/0.83 inference(scs_inference,[],[17,18,19,20,2,12,11,23,22,21,27,9,8,7,6,5,4,15,13,26,25,24])).
% 0.19/0.83 cnf(62,plain,
% 0.19/0.83 (E(f9(a1),a2)),
% 0.19/0.83 inference(scs_inference,[],[17,18,19,20,2,12,11,23,22,21,27,9,8,7,6,5,4,15,13,26,25,24,14,3])).
% 0.19/0.83 cnf(68,plain,
% 0.19/0.83 (~P2(x681)+E(f4(x681),x681)),
% 0.19/0.83 inference(scs_inference,[],[18,21])).
% 0.19/0.83 cnf(69,plain,
% 0.19/0.83 (~P3(x691)+E(f7(x691),x691)),
% 0.19/0.83 inference(scs_inference,[],[18,22])).
% 0.19/0.83 cnf(70,plain,
% 0.19/0.83 (~P2(x701)+E(f9(x701),x701)),
% 0.19/0.83 inference(scs_inference,[],[18,23])).
% 0.19/0.83 cnf(71,plain,
% 0.19/0.83 (~P3(x711)+P4(f7(x711))),
% 0.19/0.83 inference(scs_inference,[],[18,24])).
% 0.19/0.83 cnf(72,plain,
% 0.19/0.83 (~P2(x721)+P4(f9(x721))),
% 0.19/0.83 inference(scs_inference,[],[18,25])).
% 0.19/0.83 cnf(73,plain,
% 0.19/0.83 (~P2(x731)+P5(f4(x731),a10,a13)),
% 0.19/0.83 inference(scs_inference,[],[18,26])).
% 0.19/0.83 cnf(74,plain,
% 0.19/0.83 (~P3(x741)+~E(x741,x742)+~P5(x742,a11,a13)),
% 0.19/0.83 inference(scs_inference,[],[18,27])).
% 0.19/0.83 cnf(75,plain,
% 0.19/0.83 (~P3(x751)+E(f5(x751),x751)+~P5(x751,a10,a13)),
% 0.19/0.83 inference(scs_inference,[],[18,28])).
% 0.19/0.83 cnf(76,plain,
% 0.19/0.83 (~P2(x761)+E(f8(x761),x761)+~P5(x761,a14,a13)),
% 0.19/0.83 inference(scs_inference,[],[18,29])).
% 0.19/0.83 cnf(77,plain,
% 0.19/0.83 (~P3(x771)+~P5(x771,a10,a13)+P5(f5(x771),a12,a13)),
% 0.19/0.83 inference(scs_inference,[],[18,30])).
% 0.19/0.83 cnf(78,plain,
% 0.19/0.83 (~P2(x781)+~P5(x781,a14,a13)+P5(f8(x781),a3,a13)),
% 0.19/0.83 inference(scs_inference,[],[18,31])).
% 0.19/0.83 cnf(79,plain,
% 0.19/0.83 (~P4(x791)+~E(x791,x792)+~P5(x791,a11,a13)+~P5(x792,a14,a13)),
% 0.19/0.83 inference(scs_inference,[],[18,32])).
% 0.19/0.83 cnf(80,plain,
% 0.19/0.83 (~P4(x801)+~E(x801,x802)+~P5(x801,a12,a13)+~P5(x802,a3,a13)),
% 0.19/0.83 inference(scs_inference,[],[18,33])).
% 0.19/0.83 cnf(81,plain,
% 0.19/0.83 (~P4(x811)+E(f6(x811),x811)+~P5(x811,a10,a13)+~P5(x811,a12,a13)),
% 0.19/0.83 inference(scs_inference,[],[18,34])).
% 0.19/0.83 cnf(82,plain,
% 0.19/0.83 (~P4(x821)+~P5(x821,a12,a13)+~P5(x821,a10,a13)+P5(f6(x821),a11,a13)),
% 0.19/0.83 inference(scs_inference,[],[18,35])).
% 0.19/0.83 cnf(83,plain,
% 0.19/0.83 (P4(f9(a2))),
% 0.19/0.83 inference(scs_inference,[],[50,57,16])).
% 0.19/0.83 cnf(84,plain,
% 0.19/0.83 (E(f7(a1),a2)),
% 0.19/0.83 inference(scs_inference,[],[50,51,57,41,16,3])).
% 0.19/0.83 cnf(85,plain,
% 0.19/0.83 (P5(f4(a2),a10,a13)),
% 0.19/0.83 inference(scs_inference,[],[50,51,52,57,41,55,16,3,13])).
% 0.19/0.83 cnf(86,plain,
% 0.19/0.83 (P4(f7(a1))),
% 0.19/0.84 inference(scs_inference,[],[50,51,52,57,41,55,38,16,3,13,71])).
% 0.19/0.84 cnf(90,plain,
% 0.19/0.84 (E(f7(a1),a1)),
% 0.19/0.84 inference(scs_inference,[],[50,51,52,57,41,55,37,38,16,3,13,71,70,69])).
% 0.19/0.84 cnf(92,plain,
% 0.19/0.84 (E(f4(a2),a2)),
% 0.19/0.84 inference(scs_inference,[],[50,51,52,57,41,55,37,38,16,3,13,71,70,69,68])).
% 0.19/0.84 cnf(97,plain,
% 0.19/0.84 (P5(f5(a2),a12,a13)+~P5(a2,a10,a13)),
% 0.19/0.84 inference(scs_inference,[],[19,20,18,50,51,52,57,41,55,37,38,16,3,13,71,70,69,68,10,78,77])).
% 0.19/0.84 cnf(101,plain,
% 0.19/0.84 (E(f5(a2),a2)+~P5(a2,a10,a13)),
% 0.19/0.84 inference(scs_inference,[],[19,20,18,50,51,52,57,41,55,37,38,16,3,13,71,70,69,68,10,78,77,76,75])).
% 0.19/0.84 cnf(111,plain,
% 0.19/0.84 (~P3(x1111)+~P5(x1111,a11,a13)),
% 0.19/0.84 inference(equality_inference,[],[74])).
% 0.19/0.84 cnf(112,plain,
% 0.19/0.84 (~P4(x1121)+~P5(x1121,a14,a13)+~P5(x1121,a11,a13)),
% 0.19/0.84 inference(equality_inference,[],[79])).
% 0.19/0.84 cnf(113,plain,
% 0.19/0.84 (~P4(x1131)+~P5(x1131,a3,a13)+~P5(x1131,a12,a13)),
% 0.19/0.84 inference(equality_inference,[],[80])).
% 0.19/0.84 cnf(116,plain,
% 0.19/0.84 (P4(a2)),
% 0.19/0.84 inference(scs_inference,[],[59,41,16])).
% 0.19/0.84 cnf(117,plain,
% 0.19/0.84 (P5(a2,a10,a13)),
% 0.19/0.84 inference(scs_inference,[],[85,59,92,41,16,13])).
% 0.19/0.84 cnf(118,plain,
% 0.19/0.84 (E(f5(a2),a2)),
% 0.19/0.84 inference(scs_inference,[],[85,59,92,41,16,13,101])).
% 0.19/0.84 cnf(119,plain,
% 0.19/0.84 (P5(f5(a2),a12,a13)),
% 0.19/0.84 inference(scs_inference,[],[85,59,92,41,16,13,101,97])).
% 0.19/0.84 cnf(137,plain,
% 0.19/0.84 (E(a1,f9(a1))),
% 0.19/0.84 inference(scs_inference,[],[39,2])).
% 0.19/0.84 cnf(139,plain,
% 0.19/0.84 (~P5(f9(a1),a11,a13)),
% 0.19/0.84 inference(scs_inference,[],[39,43,62,54,17,2,3,13])).
% 0.19/0.84 cnf(140,plain,
% 0.19/0.84 (~P5(a2,a12,a13)+P5(f6(a2),a11,a13)),
% 0.19/0.84 inference(scs_inference,[],[39,43,62,116,117,54,17,2,3,13,82])).
% 0.19/0.84 cnf(147,plain,
% 0.19/0.84 (~P5(a2,a12,a13)+~P5(a1,a3,a13)),
% 0.19/0.84 inference(scs_inference,[],[36,119,39,43,62,83,116,117,54,17,2,3,13,82,113,81,10,80])).
% 0.19/0.84 cnf(153,plain,
% 0.19/0.84 (P2(f9(a1))),
% 0.19/0.84 inference(scs_inference,[],[20,137,12])).
% 0.19/0.84 cnf(154,plain,
% 0.19/0.84 (P5(a1,a10,a13)),
% 0.19/0.84 inference(scs_inference,[],[36,20,137,117,12,13])).
% 0.19/0.84 cnf(155,plain,
% 0.19/0.84 (E(f5(a1),a2)),
% 0.19/0.84 inference(scs_inference,[],[36,20,118,137,47,117,12,13,3])).
% 0.19/0.84 cnf(156,plain,
% 0.19/0.84 (E(f5(a2),f5(a1))),
% 0.19/0.84 inference(scs_inference,[],[36,20,118,137,47,117,12,13,3,9])).
% 0.19/0.84 cnf(158,plain,
% 0.19/0.84 (E(f6(a2),f6(a1))),
% 0.19/0.84 inference(scs_inference,[],[36,20,118,137,47,117,12,13,3,9,8,7])).
% 0.19/0.84 cnf(162,plain,
% 0.19/0.84 (P3(f9(a1))),
% 0.19/0.84 inference(scs_inference,[],[36,20,118,137,47,117,116,38,12,13,3,9,8,7,4,81,11])).
% 0.19/0.84 cnf(163,plain,
% 0.19/0.84 (E(f9(a2),f9(a1))),
% 0.19/0.84 inference(scs_inference,[],[36,20,118,137,47,117,116,38,12,13,3,9,8,7,4,81,11,6])).
% 0.19/0.84 cnf(164,plain,
% 0.19/0.84 (E(f7(a2),f7(a1))),
% 0.19/0.84 inference(scs_inference,[],[36,20,118,137,47,117,116,38,12,13,3,9,8,7,4,81,11,6,5])).
% 0.19/0.84 cnf(171,plain,
% 0.19/0.84 (P5(f9(a1),a10,a13)),
% 0.19/0.84 inference(scs_inference,[],[154,137,13])).
% 0.19/0.84 cnf(174,plain,
% 0.19/0.84 (E(f9(f9(a1)),f9(a1))),
% 0.19/0.84 inference(scs_inference,[],[153,162,154,137,13,71,70])).
% 0.19/0.84 cnf(176,plain,
% 0.19/0.84 (E(f7(f9(a1)),f9(a1))),
% 0.19/0.84 inference(scs_inference,[],[153,162,154,137,13,71,70,69])).
% 0.19/0.84 cnf(186,plain,
% 0.19/0.84 (P5(f5(a1),a12,a13)),
% 0.19/0.84 inference(scs_inference,[],[38,154,77])).
% 0.19/0.84 cnf(188,plain,
% 0.19/0.84 (E(f5(a1),a1)),
% 0.19/0.84 inference(scs_inference,[],[38,154,77,75])).
% 0.19/0.84 cnf(191,plain,
% 0.19/0.84 (E(a2,f9(a1))),
% 0.19/0.84 inference(scs_inference,[],[38,36,174,154,139,137,77,75,13,3])).
% 0.19/0.84 cnf(192,plain,
% 0.19/0.84 (P4(a1)),
% 0.19/0.84 inference(scs_inference,[],[38,36,174,154,139,137,116,77,75,13,3,16])).
% 0.19/0.84 cnf(203,plain,
% 0.19/0.84 (P2(f9(a2))),
% 0.19/0.84 inference(scs_inference,[],[153,50,12])).
% 0.19/0.84 cnf(208,plain,
% 0.19/0.84 (E(f5(f9(a1)),f9(a1))),
% 0.19/0.84 inference(scs_inference,[],[176,156,188,186,171,153,139,162,50,12,13,3,113,75])).
% 0.19/0.84 cnf(222,plain,
% 0.19/0.84 (E(f9(a1),f5(f9(a1)))),
% 0.19/0.84 inference(scs_inference,[],[208,2])).
% 0.19/0.84 cnf(223,plain,
% 0.19/0.84 (P5(a2,a12,a13)),
% 0.19/0.84 inference(scs_inference,[],[208,155,186,2,13])).
% 0.19/0.84 cnf(225,plain,
% 0.19/0.84 (P5(f6(a2),a11,a13)),
% 0.19/0.84 inference(scs_inference,[],[208,155,186,2,13,147,140])).
% 0.19/0.84 cnf(232,plain,
% 0.19/0.84 (E(f5(f9(a1)),f5(a1))),
% 0.19/0.84 inference(scs_inference,[],[39,208,203,155,186,2,13,147,140,72,112,73,9])).
% 0.19/0.84 cnf(234,plain,
% 0.19/0.84 (E(f6(f9(a1)),f6(a1))),
% 0.19/0.84 inference(scs_inference,[],[39,208,203,155,186,2,13,147,140,72,112,73,9,8,7])).
% 0.19/0.84 cnf(235,plain,
% 0.19/0.84 (~P5(a2,a3,a13)),
% 0.19/0.84 inference(scs_inference,[],[39,208,203,155,186,116,2,13,147,140,72,112,73,9,8,7,113])).
% 0.19/0.84 cnf(239,plain,
% 0.19/0.84 (E(f6(a2),a2)),
% 0.19/0.84 inference(scs_inference,[],[39,208,203,84,155,117,186,116,2,13,147,140,72,112,73,9,8,7,113,6,4,81])).
% 0.19/0.84 cnf(242,plain,
% 0.19/0.84 (~P5(f9(a1),a3,a13)),
% 0.19/0.84 inference(scs_inference,[],[39,208,203,84,191,155,117,186,116,2,13,147,140,72,112,73,9,8,7,113,6,4,81,5,80])).
% 0.19/0.84 cnf(244,plain,
% 0.19/0.84 (~E(a10,a3)),
% 0.19/0.84 inference(scs_inference,[],[39,208,203,84,191,155,154,117,186,116,2,13,147,140,72,112,73,9,8,7,113,6,4,81,5,80,14])).
% 0.19/0.84 cnf(245,plain,
% 0.19/0.84 (~P3(f6(a2))),
% 0.19/0.84 inference(scs_inference,[],[39,208,203,84,191,155,154,117,186,116,2,13,147,140,72,112,73,9,8,7,113,6,4,81,5,80,14,111])).
% 0.19/0.84 cnf(253,plain,
% 0.19/0.84 (~E(a1,f6(a2))),
% 0.19/0.84 inference(scs_inference,[],[39,37,38,208,48,203,84,191,155,154,117,186,116,2,13,147,140,72,112,73,9,8,7,113,6,4,81,5,80,14,111,78,74,76,11])).
% 0.19/0.84 cnf(256,plain,
% 0.19/0.84 (~P3(f6(a1))),
% 0.19/0.84 inference(scs_inference,[],[49,245,11])).
% 0.19/0.84 cnf(257,plain,
% 0.19/0.84 (~E(f6(a2),a1)),
% 0.19/0.84 inference(scs_inference,[],[49,245,253,11,2])).
% 0.19/0.84 cnf(266,plain,
% 0.19/0.84 (E(f4(f9(a2)),f9(a2))),
% 0.19/0.84 inference(scs_inference,[],[39,235,163,239,49,245,253,225,192,203,154,162,11,2,3,13,74,82,70,68])).
% 0.19/0.84 cnf(276,plain,
% 0.19/0.84 (P3(f5(f9(a1)))),
% 0.19/0.84 inference(scs_inference,[],[222,162,11])).
% 0.19/0.84 cnf(277,plain,
% 0.19/0.84 (E(a2,f7(a2))),
% 0.19/0.84 inference(scs_inference,[],[41,222,162,11,2])).
% 0.19/0.84 cnf(278,plain,
% 0.19/0.84 (~E(f6(a2),f9(a1))),
% 0.19/0.84 inference(scs_inference,[],[41,39,222,257,162,11,2,3])).
% 0.19/0.84 cnf(279,plain,
% 0.19/0.84 (~P5(f7(a2),a3,a13)),
% 0.19/0.84 inference(scs_inference,[],[41,39,222,257,235,162,11,2,3,13])).
% 0.19/0.84 cnf(280,plain,
% 0.19/0.84 (~P5(f5(f9(a1)),a11,a13)),
% 0.19/0.84 inference(scs_inference,[],[41,39,222,257,235,162,11,2,3,13,111])).
% 0.19/0.84 cnf(283,plain,
% 0.19/0.84 (P5(f5(f9(a1)),a12,a13)),
% 0.19/0.84 inference(scs_inference,[],[41,39,222,257,235,171,162,11,2,3,13,111,10,77])).
% 0.19/0.84 cnf(291,plain,
% 0.19/0.84 (~E(a1,f6(a1))),
% 0.19/0.84 inference(scs_inference,[],[38,256,11])).
% 0.19/0.84 cnf(293,plain,
% 0.19/0.84 (P5(f7(a2),a12,a13)),
% 0.19/0.84 inference(scs_inference,[],[38,244,256,277,223,11,2,13])).
% 0.19/0.84 cnf(294,plain,
% 0.19/0.84 (~E(f6(a1),f9(a1))),
% 0.19/0.84 inference(scs_inference,[],[38,158,244,256,278,277,223,11,2,13,3])).
% 0.19/0.84 cnf(308,plain,
% 0.19/0.84 (~P3(f6(f9(a1)))),
% 0.19/0.84 inference(scs_inference,[],[276,232,234,256,74,11])).
% 0.19/0.84 cnf(309,plain,
% 0.19/0.84 (E(a1,f4(a1))),
% 0.19/0.84 inference(scs_inference,[],[43,276,232,234,256,74,11,2])).
% 0.19/0.84 cnf(317,plain,
% 0.19/0.84 (E(f6(f4(a1)),f6(a1))),
% 0.19/0.84 inference(scs_inference,[],[43,283,276,232,234,280,242,239,163,256,225,137,74,11,2,14,13,3,79,9,8,7])).
% 0.19/0.84 cnf(336,plain,
% 0.19/0.84 (~E(f6(a2),f4(a1))),
% 0.19/0.84 inference(scs_inference,[],[43,164,279,317,294,309,293,257,276,192,256,225,59,20,74,16,80,12,11,2,14,3])).
% 0.19/0.84 cnf(337,plain,
% 0.19/0.84 (P5(f7(a1),a12,a13)),
% 0.19/0.84 inference(scs_inference,[],[43,164,279,317,294,309,293,257,276,192,256,225,59,20,74,16,80,12,11,2,14,3,13])).
% 0.19/0.84 cnf(356,plain,
% 0.19/0.84 (E(f6(a1),a1)),
% 0.19/0.84 inference(scs_inference,[],[266,308,336,337,90,158,86,192,154,19,11,2,3,13,82,81])).
% 0.19/0.84 cnf(368,plain,
% 0.19/0.84 ($false),
% 0.19/0.84 inference(scs_inference,[],[291,356,2]),
% 0.19/0.84 ['proof']).
% 0.19/0.84 % SZS output end Proof
% 0.19/0.84 % Total time :0.240000s
%------------------------------------------------------------------------------