TSTP Solution File: SET914+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SET914+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n021.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 14:31:40 EDT 2023

% Result   : Theorem 1.07s 1.15s
% Output   : CNFRefutation 1.07s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET914+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 12:49:41 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.58  start to proof:theBenchmark
% 1.07/1.15  %-------------------------------------------
% 1.07/1.15  % File        :CSE---1.6
% 1.07/1.15  % Problem     :theBenchmark
% 1.07/1.15  % Transform   :cnf
% 1.07/1.15  % Format      :tptp:raw
% 1.07/1.15  % Command     :java -jar mcs_scs.jar %d %s
% 1.07/1.15  
% 1.07/1.15  % Result      :Theorem 0.510000s
% 1.07/1.15  % Output      :CNFRefutation 0.510000s
% 1.07/1.15  %-------------------------------------------
% 1.07/1.15  %------------------------------------------------------------------------------
% 1.07/1.15  % File     : SET914+1 : TPTP v8.1.2. Released v3.2.0.
% 1.07/1.15  % Domain   : Set theory
% 1.07/1.15  % Problem  : ~ ( disjoint(unordered_pair(A,B),C) & in(A,C) )
% 1.07/1.15  % Version  : [Urb06] axioms : Especial.
% 1.07/1.15  % English  :
% 1.07/1.15  
% 1.07/1.15  % Refs     : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 1.07/1.15  %          : [Urb06] Urban (2006), Email to G. Sutcliffe
% 1.07/1.15  % Source   : [Urb06]
% 1.07/1.15  % Names    : zfmisc_1__t55_zfmisc_1 [Urb06]
% 1.07/1.15  
% 1.07/1.15  % Status   : Theorem
% 1.07/1.15  % Rating   : 0.19 v7.5.0, 0.22 v7.4.0, 0.10 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.22 v7.0.0, 0.17 v6.4.0, 0.27 v6.3.0, 0.29 v6.2.0, 0.36 v6.1.0, 0.40 v6.0.0, 0.39 v5.5.0, 0.30 v5.4.0, 0.32 v5.3.0, 0.33 v5.2.0, 0.15 v5.1.0, 0.14 v5.0.0, 0.21 v4.1.0, 0.22 v4.0.1, 0.26 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0, 0.32 v3.3.0, 0.29 v3.2.0
% 1.07/1.15  % Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
% 1.07/1.15  %            Number of atoms       :   24 (   9 equ)
% 1.07/1.15  %            Maximal formula atoms :    4 (   1 avg)
% 1.07/1.15  %            Number of connectives :   15 (   4   ~;   1   |;   2   &)
% 1.07/1.15  %                                         (   6 <=>;   2  =>;   0  <=;   0 <~>)
% 1.07/1.15  %            Maximal formula depth :    8 (   4 avg)
% 1.07/1.15  %            Maximal term depth    :    2 (   1 avg)
% 1.07/1.15  %            Number of predicates  :    4 (   3 usr;   0 prp; 1-2 aty)
% 1.07/1.15  %            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
% 1.07/1.15  %            Number of variables   :   27 (  25   !;   2   ?)
% 1.07/1.15  % SPC      : FOF_THM_RFO_SEQ
% 1.07/1.15  
% 1.07/1.15  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 1.07/1.15  %            library, www.mizar.org
% 1.07/1.15  %------------------------------------------------------------------------------
% 1.07/1.15  fof(antisymmetry_r2_hidden,axiom,
% 1.07/1.15      ! [A,B] :
% 1.07/1.15        ( in(A,B)
% 1.07/1.15       => ~ in(B,A) ) ).
% 1.07/1.15  
% 1.07/1.15  fof(commutativity_k2_tarski,axiom,
% 1.07/1.15      ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 1.07/1.15  
% 1.07/1.15  fof(commutativity_k3_xboole_0,axiom,
% 1.07/1.15      ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 1.07/1.15  
% 1.07/1.15  fof(d1_xboole_0,axiom,
% 1.07/1.15      ! [A] :
% 1.07/1.15        ( A = empty_set
% 1.07/1.15      <=> ! [B] : ~ in(B,A) ) ).
% 1.07/1.15  
% 1.07/1.15  fof(d2_tarski,axiom,
% 1.07/1.15      ! [A,B,C] :
% 1.07/1.15        ( C = unordered_pair(A,B)
% 1.07/1.15      <=> ! [D] :
% 1.07/1.15            ( in(D,C)
% 1.07/1.15          <=> ( D = A
% 1.07/1.15              | D = B ) ) ) ).
% 1.07/1.15  
% 1.07/1.15  fof(d3_xboole_0,axiom,
% 1.07/1.15      ! [A,B,C] :
% 1.07/1.15        ( C = set_intersection2(A,B)
% 1.07/1.15      <=> ! [D] :
% 1.07/1.15            ( in(D,C)
% 1.07/1.15          <=> ( in(D,A)
% 1.07/1.15              & in(D,B) ) ) ) ).
% 1.07/1.15  
% 1.07/1.15  fof(d7_xboole_0,axiom,
% 1.07/1.15      ! [A,B] :
% 1.07/1.15        ( disjoint(A,B)
% 1.07/1.15      <=> set_intersection2(A,B) = empty_set ) ).
% 1.07/1.15  
% 1.07/1.15  fof(fc1_xboole_0,axiom,
% 1.07/1.15      empty(empty_set) ).
% 1.07/1.15  
% 1.07/1.15  fof(idempotence_k3_xboole_0,axiom,
% 1.07/1.15      ! [A,B] : set_intersection2(A,A) = A ).
% 1.07/1.15  
% 1.07/1.15  fof(rc1_xboole_0,axiom,
% 1.07/1.15      ? [A] : empty(A) ).
% 1.07/1.15  
% 1.07/1.15  fof(rc2_xboole_0,axiom,
% 1.07/1.15      ? [A] : ~ empty(A) ).
% 1.07/1.15  
% 1.07/1.15  fof(symmetry_r1_xboole_0,axiom,
% 1.07/1.15      ! [A,B] :
% 1.07/1.15        ( disjoint(A,B)
% 1.07/1.15       => disjoint(B,A) ) ).
% 1.07/1.15  
% 1.07/1.15  fof(t55_zfmisc_1,conjecture,
% 1.07/1.15      ! [A,B,C] :
% 1.07/1.15        ~ ( disjoint(unordered_pair(A,B),C)
% 1.07/1.15          & in(A,C) ) ).
% 1.07/1.15  
% 1.07/1.15  %------------------------------------------------------------------------------
% 1.07/1.15  %-------------------------------------------
% 1.07/1.15  % Proof found
% 1.07/1.15  % SZS status Theorem for theBenchmark
% 1.07/1.15  % SZS output start Proof
% 1.07/1.15  %ClaNum:45(EqnAxiom:19)
% 1.07/1.15  %VarNum:153(SingletonVarNum:58)
% 1.07/1.15  %MaxLitNum:4
% 1.07/1.15  %MaxfuncDepth:1
% 1.07/1.15  %SharedTerms:12
% 1.07/1.15  %goalClause: 22 26
% 1.07/1.15  %singleGoalClaCount:2
% 1.07/1.15  [20]P1(a1)
% 1.07/1.15  [21]P1(a2)
% 1.07/1.15  [22]P3(a6,a8)
% 1.07/1.15  [27]~P1(a7)
% 1.07/1.15  [26]P2(f11(a6,a9),a8)
% 1.07/1.15  [23]E(f10(x231,x231),x231)
% 1.07/1.15  [24]E(f11(x241,x242),f11(x242,x241))
% 1.07/1.15  [25]E(f10(x251,x252),f10(x252,x251))
% 1.07/1.15  [28]P3(f3(x281),x281)+E(x281,a1)
% 1.07/1.16  [29]~P3(x292,x291)+~E(x291,a1)
% 1.07/1.16  [32]~P2(x322,x321)+P2(x321,x322)
% 1.07/1.16  [35]~P3(x352,x351)+~P3(x351,x352)
% 1.07/1.16  [30]~P2(x301,x302)+E(f10(x301,x302),a1)
% 1.07/1.16  [31]P2(x311,x312)+~E(f10(x311,x312),a1)
% 1.07/1.16  [41]P3(f5(x412,x413,x411),x411)+P3(f5(x412,x413,x411),x413)+E(x411,f10(x412,x413))
% 1.07/1.16  [42]P3(f5(x422,x423,x421),x421)+P3(f5(x422,x423,x421),x422)+E(x421,f10(x422,x423))
% 1.07/1.16  [43]~E(f4(x432,x433,x431),x433)+~P3(f4(x432,x433,x431),x431)+E(x431,f11(x432,x433))
% 1.07/1.16  [44]~E(f4(x442,x443,x441),x442)+~P3(f4(x442,x443,x441),x441)+E(x441,f11(x442,x443))
% 1.07/1.16  [33]P3(x331,x332)+~E(x331,x333)+~E(x332,f11(x334,x333))
% 1.07/1.16  [34]P3(x341,x342)+~E(x341,x343)+~E(x342,f11(x343,x344))
% 1.07/1.16  [37]~P3(x371,x373)+P3(x371,x372)+~E(x373,f10(x374,x372))
% 1.07/1.16  [38]~P3(x381,x383)+P3(x381,x382)+~E(x383,f10(x382,x384))
% 1.07/1.16  [40]E(f4(x402,x403,x401),x403)+E(f4(x402,x403,x401),x402)+P3(f4(x402,x403,x401),x401)+E(x401,f11(x402,x403))
% 1.07/1.16  [45]~P3(f5(x452,x453,x451),x451)+~P3(f5(x452,x453,x451),x453)+~P3(f5(x452,x453,x451),x452)+E(x451,f10(x452,x453))
% 1.07/1.16  [36]~P3(x361,x364)+E(x361,x362)+E(x361,x363)+~E(x364,f11(x363,x362))
% 1.07/1.16  [39]~P3(x391,x394)+~P3(x391,x393)+P3(x391,x392)+~E(x392,f10(x393,x394))
% 1.07/1.16  %EqnAxiom
% 1.07/1.16  [1]E(x11,x11)
% 1.07/1.16  [2]E(x22,x21)+~E(x21,x22)
% 1.07/1.16  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.07/1.16  [4]~E(x41,x42)+E(f10(x41,x43),f10(x42,x43))
% 1.07/1.16  [5]~E(x51,x52)+E(f10(x53,x51),f10(x53,x52))
% 1.07/1.16  [6]~E(x61,x62)+E(f11(x61,x63),f11(x62,x63))
% 1.07/1.16  [7]~E(x71,x72)+E(f11(x73,x71),f11(x73,x72))
% 1.07/1.16  [8]~E(x81,x82)+E(f5(x81,x83,x84),f5(x82,x83,x84))
% 1.07/1.16  [9]~E(x91,x92)+E(f5(x93,x91,x94),f5(x93,x92,x94))
% 1.07/1.16  [10]~E(x101,x102)+E(f5(x103,x104,x101),f5(x103,x104,x102))
% 1.07/1.16  [11]~E(x111,x112)+E(f4(x111,x113,x114),f4(x112,x113,x114))
% 1.07/1.16  [12]~E(x121,x122)+E(f4(x123,x121,x124),f4(x123,x122,x124))
% 1.07/1.16  [13]~E(x131,x132)+E(f4(x133,x134,x131),f4(x133,x134,x132))
% 1.07/1.16  [14]~E(x141,x142)+E(f3(x141),f3(x142))
% 1.07/1.16  [15]~P1(x151)+P1(x152)+~E(x151,x152)
% 1.07/1.16  [16]P3(x162,x163)+~E(x161,x162)+~P3(x161,x163)
% 1.07/1.16  [17]P3(x173,x172)+~E(x171,x172)+~P3(x173,x171)
% 1.07/1.16  [18]P2(x182,x183)+~E(x181,x182)+~P2(x181,x183)
% 1.07/1.16  [19]P2(x193,x192)+~E(x191,x192)+~P2(x193,x191)
% 1.07/1.16  
% 1.07/1.16  %-------------------------------------------
% 1.07/1.16  cnf(46,plain,
% 1.07/1.16     (E(x461,f10(x461,x461))),
% 1.07/1.16     inference(scs_inference,[],[23,2])).
% 1.07/1.16  cnf(47,plain,
% 1.07/1.16     (~P3(a8,a6)),
% 1.07/1.16     inference(scs_inference,[],[22,23,2,35])).
% 1.07/1.16  cnf(49,plain,
% 1.07/1.16     (~P3(x491,f10(a1,a1))),
% 1.07/1.16     inference(scs_inference,[],[22,23,2,35,29])).
% 1.07/1.16  cnf(50,plain,
% 1.07/1.16     (E(f10(x501,x501),x501)),
% 1.07/1.16     inference(rename_variables,[],[23])).
% 1.07/1.16  cnf(53,plain,
% 1.07/1.16     (E(f10(x531,x531),x531)),
% 1.07/1.16     inference(rename_variables,[],[23])).
% 1.07/1.16  cnf(55,plain,
% 1.07/1.16     (P2(a1,f10(a1,a1))),
% 1.07/1.16     inference(scs_inference,[],[22,23,50,2,35,29,31,19])).
% 1.07/1.16  cnf(56,plain,
% 1.07/1.16     (P2(f11(a9,a6),a8)),
% 1.07/1.16     inference(scs_inference,[],[22,26,23,50,24,2,35,29,31,19,18])).
% 1.07/1.16  cnf(57,plain,
% 1.07/1.16     (~E(a8,f10(a1,a1))),
% 1.07/1.16     inference(scs_inference,[],[22,26,23,50,24,2,35,29,31,19,18,17])).
% 1.07/1.16  cnf(58,plain,
% 1.07/1.16     (~P1(f10(a7,a7))),
% 1.07/1.16     inference(scs_inference,[],[22,27,26,23,50,53,24,2,35,29,31,19,18,17,15])).
% 1.07/1.16  cnf(59,plain,
% 1.07/1.16     (E(f10(x591,x591),x591)),
% 1.07/1.16     inference(rename_variables,[],[23])).
% 1.07/1.16  cnf(60,plain,
% 1.07/1.16     (~E(a8,f10(f10(a1,a1),f10(a1,a1)))),
% 1.07/1.16     inference(scs_inference,[],[22,27,26,23,50,53,59,24,2,35,29,31,19,18,17,15,3])).
% 1.07/1.16  cnf(61,plain,
% 1.07/1.16     (E(f10(x611,x611),x611)),
% 1.07/1.16     inference(rename_variables,[],[23])).
% 1.07/1.16  cnf(62,plain,
% 1.07/1.16     (~P3(a8,f10(f10(a6,x621),f10(a6,x621)))),
% 1.07/1.16     inference(scs_inference,[],[22,27,26,23,50,53,59,61,24,2,35,29,31,19,18,17,15,3,38])).
% 1.07/1.16  cnf(63,plain,
% 1.07/1.16     (E(f10(x631,x631),x631)),
% 1.07/1.16     inference(rename_variables,[],[23])).
% 1.07/1.16  cnf(65,plain,
% 1.07/1.16     (~P3(a8,f10(f10(x651,a6),f10(x651,a6)))),
% 1.07/1.16     inference(scs_inference,[],[22,27,26,23,50,53,59,61,63,24,2,35,29,31,19,18,17,15,3,38,37])).
% 1.07/1.16  cnf(66,plain,
% 1.07/1.16     (E(f10(x661,x661),x661)),
% 1.07/1.16     inference(rename_variables,[],[23])).
% 1.07/1.16  cnf(69,plain,
% 1.07/1.16     (E(f11(x691,x692),f11(x692,x691))),
% 1.07/1.16     inference(rename_variables,[],[24])).
% 1.07/1.16  cnf(70,plain,
% 1.07/1.16     (E(f10(x701,x701),x701)),
% 1.07/1.16     inference(rename_variables,[],[23])).
% 1.07/1.16  cnf(72,plain,
% 1.07/1.16     (P3(f10(x721,x721),f11(x721,x722))),
% 1.07/1.16     inference(scs_inference,[],[22,27,26,23,50,53,59,61,63,66,70,24,69,2,35,29,31,19,18,17,15,3,38,37,34,33])).
% 1.07/1.16  cnf(75,plain,
% 1.07/1.16     (P3(a6,f10(f10(a8,a8),f10(a8,a8)))),
% 1.07/1.16     inference(scs_inference,[],[22,27,26,23,50,53,59,61,63,66,70,24,69,2,35,29,31,19,18,17,15,3,38,37,34,33,39])).
% 1.07/1.16  cnf(76,plain,
% 1.07/1.16     (E(f10(x761,x761),x761)),
% 1.07/1.16     inference(rename_variables,[],[23])).
% 1.07/1.16  cnf(78,plain,
% 1.07/1.16     (P2(a8,f11(a6,a9))),
% 1.07/1.16     inference(scs_inference,[],[22,27,26,23,50,53,59,61,63,66,70,24,69,2,35,29,31,19,18,17,15,3,38,37,34,33,39,32])).
% 1.07/1.16  cnf(80,plain,
% 1.07/1.16     (E(f3(f10(x801,x801)),f3(x801))),
% 1.07/1.16     inference(scs_inference,[],[22,27,26,23,50,53,59,61,63,66,70,76,24,69,2,35,29,31,19,18,17,15,3,38,37,34,33,39,32,14])).
% 1.07/1.16  cnf(85,plain,
% 1.07/1.16     (E(f5(x851,f10(x852,x852),x853),f5(x851,x852,x853))),
% 1.07/1.16     inference(scs_inference,[],[22,27,26,23,50,53,59,61,63,66,70,76,24,69,2,35,29,31,19,18,17,15,3,38,37,34,33,39,32,14,13,12,11,10,9])).
% 1.07/1.16  cnf(87,plain,
% 1.07/1.16     (E(f11(x871,f10(x872,x872)),f11(x871,x872))),
% 1.07/1.16     inference(scs_inference,[],[22,27,26,23,50,53,59,61,63,66,70,76,24,69,2,35,29,31,19,18,17,15,3,38,37,34,33,39,32,14,13,12,11,10,9,8,7])).
% 1.07/1.16  cnf(88,plain,
% 1.07/1.16     (E(f11(f10(x881,x881),x882),f11(x881,x882))),
% 1.07/1.16     inference(scs_inference,[],[22,27,26,23,50,53,59,61,63,66,70,76,24,69,2,35,29,31,19,18,17,15,3,38,37,34,33,39,32,14,13,12,11,10,9,8,7,6])).
% 1.07/1.16  cnf(89,plain,
% 1.07/1.16     (E(f10(x891,f10(x892,x892)),f10(x891,x892))),
% 1.07/1.16     inference(scs_inference,[],[22,27,26,23,50,53,59,61,63,66,70,76,24,69,2,35,29,31,19,18,17,15,3,38,37,34,33,39,32,14,13,12,11,10,9,8,7,6,5])).
% 1.07/1.16  cnf(90,plain,
% 1.07/1.16     (E(f10(f10(x901,x901),x902),f10(x901,x902))),
% 1.07/1.16     inference(scs_inference,[],[22,27,26,23,50,53,59,61,63,66,70,76,24,69,2,35,29,31,19,18,17,15,3,38,37,34,33,39,32,14,13,12,11,10,9,8,7,6,5,4])).
% 1.07/1.16  cnf(91,plain,
% 1.07/1.16     (E(f10(f11(a6,a9),a8),a1)),
% 1.07/1.16     inference(scs_inference,[],[22,27,26,23,50,53,59,61,63,66,70,76,24,69,2,35,29,31,19,18,17,15,3,38,37,34,33,39,32,14,13,12,11,10,9,8,7,6,5,4,30])).
% 1.07/1.16  cnf(93,plain,
% 1.07/1.16     (~P3(f10(a8,a8),a6)),
% 1.07/1.16     inference(scs_inference,[],[22,27,26,23,50,53,59,61,63,66,70,76,24,69,2,35,29,31,19,18,17,15,3,38,37,34,33,39,32,14,13,12,11,10,9,8,7,6,5,4,30,16])).
% 1.07/1.16  cnf(95,plain,
% 1.07/1.16     (P3(f5(f10(a1,a1),f10(a1,a1),a8),a8)),
% 1.07/1.16     inference(scs_inference,[],[49,60,42])).
% 1.07/1.16  cnf(96,plain,
% 1.07/1.16     (~P3(x961,f10(a1,a1))),
% 1.07/1.16     inference(rename_variables,[],[49])).
% 1.07/1.16  cnf(99,plain,
% 1.07/1.16     (~P3(x991,f10(a1,a1))),
% 1.07/1.16     inference(rename_variables,[],[49])).
% 1.07/1.16  cnf(101,plain,
% 1.07/1.16     (~E(f10(a1,a1),f10(a8,a8))),
% 1.07/1.16     inference(scs_inference,[],[22,49,96,99,60,42,37,39])).
% 1.07/1.16  cnf(102,plain,
% 1.07/1.16     (~P3(x1021,f10(a1,a1))),
% 1.07/1.16     inference(rename_variables,[],[49])).
% 1.07/1.16  cnf(105,plain,
% 1.07/1.16     (E(x1051,f10(x1051,x1051))),
% 1.07/1.16     inference(rename_variables,[],[46])).
% 1.07/1.16  cnf(108,plain,
% 1.07/1.16     (E(x1081,f10(x1081,x1081))),
% 1.07/1.16     inference(rename_variables,[],[46])).
% 1.07/1.16  cnf(111,plain,
% 1.07/1.16     (~P3(f11(x1111,x1112),f10(x1111,x1111))),
% 1.07/1.16     inference(scs_inference,[],[22,46,105,72,47,49,96,99,60,42,37,39,34,33,2,35])).
% 1.07/1.16  cnf(113,plain,
% 1.07/1.16     (~E(a8,a1)),
% 1.07/1.16     inference(scs_inference,[],[22,46,105,72,47,49,96,99,60,42,37,39,34,33,2,35,29])).
% 1.07/1.16  cnf(116,plain,
% 1.07/1.16     (E(f10(x1161,x1161),x1161)),
% 1.07/1.16     inference(rename_variables,[],[23])).
% 1.07/1.16  cnf(117,plain,
% 1.07/1.16     (~E(a8,f10(f10(a1,a1),x1171))),
% 1.07/1.16     inference(scs_inference,[],[22,23,46,105,72,47,49,96,99,102,60,42,37,39,34,33,2,35,29,17,38])).
% 1.07/1.16  cnf(118,plain,
% 1.07/1.16     (~P3(x1181,f10(a1,a1))),
% 1.07/1.16     inference(rename_variables,[],[49])).
% 1.07/1.16  cnf(120,plain,
% 1.07/1.16     (P3(x1201,f11(x1201,x1202))),
% 1.07/1.16     inference(scs_inference,[],[22,23,116,46,105,72,47,49,96,99,102,60,42,37,39,34,33,2,35,29,17,38,16])).
% 1.07/1.16  cnf(122,plain,
% 1.07/1.16     (~E(a1,a7)),
% 1.07/1.16     inference(scs_inference,[],[22,20,27,23,116,46,105,72,47,49,96,99,102,60,42,37,39,34,33,2,35,29,17,38,16,15])).
% 1.07/1.16  cnf(123,plain,
% 1.07/1.16     (~E(f10(a8,a8),f10(f10(a1,a1),f10(a1,a1)))),
% 1.07/1.16     inference(scs_inference,[],[22,20,27,23,116,46,105,108,72,47,49,96,99,102,60,42,37,39,34,33,2,35,29,17,38,16,15,3])).
% 1.07/1.16  cnf(124,plain,
% 1.07/1.16     (E(x1241,f10(x1241,x1241))),
% 1.07/1.16     inference(rename_variables,[],[46])).
% 1.07/1.16  cnf(125,plain,
% 1.07/1.16     (P3(f3(a8),a8)),
% 1.07/1.16     inference(scs_inference,[],[22,20,27,23,116,46,105,108,72,47,49,96,99,102,60,42,37,39,34,33,2,35,29,17,38,16,15,3,28])).
% 1.07/1.16  cnf(131,plain,
% 1.07/1.16     (E(f10(f10(a1,a1),f10(a1,a1)),a1)),
% 1.07/1.16     inference(scs_inference,[],[22,20,27,23,116,46,105,108,88,72,47,49,96,99,102,118,60,42,37,39,34,33,2,35,29,17,38,16,15,3,28,41,36])).
% 1.07/1.16  cnf(137,plain,
% 1.07/1.16     (P2(f10(f11(a6,a9),f11(a6,a9)),a8)),
% 1.07/1.16     inference(scs_inference,[],[22,20,27,23,116,26,46,105,108,124,88,72,47,49,96,99,102,118,60,57,42,37,39,34,33,2,35,29,17,38,16,15,3,28,41,36,45,18])).
% 1.07/1.16  cnf(139,plain,
% 1.07/1.16     (P2(a8,f11(a9,a6))),
% 1.07/1.16     inference(scs_inference,[],[22,20,27,23,116,24,26,46,105,108,124,88,72,47,49,96,99,102,118,60,57,78,42,37,39,34,33,2,35,29,17,38,16,15,3,28,41,36,45,18,19])).
% 1.07/1.16  cnf(144,plain,
% 1.07/1.16     (E(f10(a1,a1),f10(f10(a1,a1),x1441))),
% 1.07/1.16     inference(scs_inference,[],[49,42])).
% 1.07/1.16  cnf(146,plain,
% 1.07/1.16     (~P3(x1461,f10(a1,a1))),
% 1.07/1.16     inference(rename_variables,[],[49])).
% 1.07/1.16  cnf(148,plain,
% 1.07/1.16     (P3(f5(a8,a8,f10(a1,a1)),a8)),
% 1.07/1.16     inference(scs_inference,[],[101,49,146,42,41])).
% 1.07/1.16  cnf(152,plain,
% 1.07/1.16     (P3(f10(x1521,x1521),f11(x1521,x1522))),
% 1.07/1.17     inference(rename_variables,[],[72])).
% 1.07/1.17  cnf(155,plain,
% 1.07/1.17     (~P3(f11(x1551,x1552),f10(f10(x1551,x1551),x1553))),
% 1.07/1.17     inference(scs_inference,[],[25,111,101,49,146,72,42,41,36,6,37])).
% 1.07/1.17  cnf(156,plain,
% 1.07/1.17     (E(f10(x1561,x1562),f10(x1562,x1561))),
% 1.07/1.17     inference(rename_variables,[],[25])).
% 1.07/1.17  cnf(161,plain,
% 1.07/1.17     (~P3(f11(x1611,x1612),x1611)),
% 1.07/1.17     inference(scs_inference,[],[25,111,120,101,93,49,146,72,152,42,41,36,6,37,39,35])).
% 1.07/1.17  cnf(163,plain,
% 1.07/1.17     (P3(f10(x1631,x1631),f11(x1632,x1631))),
% 1.07/1.17     inference(scs_inference,[],[25,23,24,111,120,101,93,49,146,72,152,42,41,36,6,37,39,35,34])).
% 1.07/1.17  cnf(164,plain,
% 1.07/1.17     (E(f10(x1641,x1641),x1641)),
% 1.07/1.17     inference(rename_variables,[],[23])).
% 1.07/1.17  cnf(167,plain,
% 1.07/1.17     (~P3(x1671,f10(f10(a1,a1),f10(a1,a1)))),
% 1.07/1.17     inference(scs_inference,[],[25,23,24,80,111,120,101,93,131,49,146,72,152,42,41,36,6,37,39,35,34,2,29])).
% 1.07/1.17  cnf(169,plain,
% 1.07/1.17     (~P3(f11(x1691,x1692),f10(x1693,f10(x1691,x1691)))),
% 1.07/1.17     inference(scs_inference,[],[25,156,23,24,80,111,120,101,93,131,49,146,72,152,42,41,36,6,37,39,35,34,2,29,38])).
% 1.07/1.17  cnf(170,plain,
% 1.07/1.17     (E(f10(x1701,x1702),f10(x1702,x1701))),
% 1.07/1.17     inference(rename_variables,[],[25])).
% 1.07/1.17  cnf(172,plain,
% 1.07/1.17     (P3(x1721,f10(f11(x1721,x1722),f11(x1721,x1722)))),
% 1.07/1.17     inference(scs_inference,[],[25,156,46,23,24,80,111,120,101,93,131,49,146,72,152,42,41,36,6,37,39,35,34,2,29,38,17])).
% 1.07/1.17  cnf(174,plain,
% 1.07/1.17     (E(f10(f10(x1741,x1742),f10(x1741,x1742)),f10(x1742,x1741))),
% 1.07/1.17     inference(scs_inference,[],[25,156,170,46,23,164,24,80,111,120,101,93,131,49,146,72,152,42,41,36,6,37,39,35,34,2,29,38,17,3])).
% 1.07/1.17  cnf(176,plain,
% 1.07/1.17     (P3(f10(x1761,x1762),f11(f10(x1762,x1761),x1763))),
% 1.07/1.17     inference(scs_inference,[],[25,156,170,46,23,164,24,80,111,120,101,93,131,49,146,72,152,42,41,36,6,37,39,35,34,2,29,38,17,3,16])).
% 1.07/1.17  cnf(181,plain,
% 1.07/1.17     (P3(f5(f10(a1,a1),f10(a1,a1),f10(a8,a8)),f10(a8,a8))),
% 1.07/1.17     inference(scs_inference,[],[123,49,41])).
% 1.07/1.17  cnf(185,plain,
% 1.07/1.17     (E(f10(x1851,x1851),x1851)),
% 1.07/1.17     inference(rename_variables,[],[23])).
% 1.07/1.17  cnf(187,plain,
% 1.07/1.17     (~P3(f10(f11(x1871,x1872),f11(x1871,x1872)),x1871)),
% 1.07/1.17     inference(scs_inference,[],[23,172,123,113,49,41,36,35])).
% 1.07/1.17  cnf(189,plain,
% 1.07/1.17     (~P3(a8,f10(a6,x1891))),
% 1.07/1.17     inference(scs_inference,[],[25,23,172,123,62,113,49,41,36,35,39])).
% 1.07/1.17  cnf(190,plain,
% 1.07/1.17     (E(f10(x1901,x1902),f10(x1902,x1901))),
% 1.07/1.17     inference(rename_variables,[],[25])).
% 1.07/1.17  cnf(192,plain,
% 1.07/1.17     (P3(a6,f10(a8,a8))),
% 1.07/1.17     inference(scs_inference,[],[25,23,89,172,123,75,62,113,49,41,36,35,39,38])).
% 1.07/1.17  cnf(195,plain,
% 1.07/1.17     (~E(f11(f11(x1951,x1952),x1953),x1952)),
% 1.07/1.17     inference(scs_inference,[],[25,23,24,89,172,161,123,75,62,113,49,41,36,35,39,38,34])).
% 1.07/1.17  cnf(196,plain,
% 1.07/1.17     (~P3(f11(x1961,x1962),x1961)),
% 1.07/1.17     inference(rename_variables,[],[161])).
% 1.07/1.17  cnf(198,plain,
% 1.07/1.17     (E(f11(x1981,x1982),f11(f10(x1981,x1981),x1982))),
% 1.07/1.17     inference(scs_inference,[],[25,46,23,24,89,172,161,123,75,62,113,49,41,36,35,39,38,34,6])).
% 1.07/1.17  cnf(201,plain,
% 1.07/1.17     (~E(f11(x2011,x2012),f10(f10(a1,a1),f10(a1,a1)))),
% 1.07/1.17     inference(scs_inference,[],[25,46,23,24,89,172,163,161,167,123,75,62,113,49,41,36,35,39,38,34,6,29,17])).
% 1.07/1.17  cnf(203,plain,
% 1.07/1.17     (~P3(f10(a8,a8),f10(f10(a6,x2031),f10(a6,x2031)))),
% 1.07/1.17     inference(scs_inference,[],[25,46,23,185,24,89,172,163,161,167,123,75,62,113,49,41,36,35,39,38,34,6,29,17,16])).
% 1.07/1.17  cnf(205,plain,
% 1.07/1.17     (~E(f10(a8,a8),f10(a1,a1))),
% 1.07/1.17     inference(scs_inference,[],[25,46,23,185,24,89,172,163,161,167,123,75,62,113,49,41,36,35,39,38,34,6,29,17,16,3])).
% 1.07/1.17  cnf(208,plain,
% 1.07/1.17     (~P2(f11(x2081,x2082),f11(x2081,x2082))),
% 1.07/1.17     inference(scs_inference,[],[25,46,23,185,24,89,172,163,161,167,123,75,62,113,49,41,36,35,39,38,34,6,29,17,16,3,2,30])).
% 1.07/1.17  cnf(210,plain,
% 1.07/1.17     (~E(a8,f11(a9,a6))),
% 1.07/1.17     inference(scs_inference,[],[25,46,23,185,24,89,172,163,161,167,123,75,139,62,113,49,41,36,35,39,38,34,6,29,17,16,3,2,30,18])).
% 1.07/1.17  cnf(211,plain,
% 1.07/1.17     (~P3(f11(x2111,x2112),f10(x2111,x2113))),
% 1.07/1.17     inference(scs_inference,[],[25,190,46,23,185,24,89,172,163,161,196,167,123,75,139,62,113,49,41,36,35,39,38,34,6,29,17,16,3,2,30,18,37])).
% 1.07/1.17  cnf(214,plain,
% 1.07/1.17     (E(f10(a1,f10(a1,a1)),a1)),
% 1.07/1.17     inference(scs_inference,[],[55,30])).
% 1.07/1.17  cnf(217,plain,
% 1.07/1.17     (E(f10(x2171,x2171),x2171)),
% 1.07/1.17     inference(rename_variables,[],[23])).
% 1.07/1.17  cnf(222,plain,
% 1.07/1.17     (E(x2221,f10(x2221,x2221))),
% 1.07/1.17     inference(rename_variables,[],[46])).
% 1.07/1.17  cnf(224,plain,
% 1.07/1.17     (P3(f5(f10(a1,a1),f10(a1,a1),f10(a8,a8)),a8)),
% 1.07/1.17     inference(scs_inference,[],[25,46,23,176,181,55,189,122,30,36,35,34,37])).
% 1.07/1.17  cnf(225,plain,
% 1.07/1.17     (E(f10(x2251,x2252),f10(x2252,x2251))),
% 1.07/1.17     inference(rename_variables,[],[25])).
% 1.07/1.17  cnf(227,plain,
% 1.07/1.17     (P2(f10(a1,a1),f10(a1,a1))),
% 1.07/1.17     inference(scs_inference,[],[25,46,222,23,176,181,55,189,122,30,36,35,34,37,18])).
% 1.07/1.17  cnf(228,plain,
% 1.07/1.17     (~E(f11(x2281,f11(x2282,x2283)),f10(x2282,x2284))),
% 1.07/1.17     inference(scs_inference,[],[25,46,222,23,187,176,181,55,189,122,163,30,36,35,34,37,18,38])).
% 1.07/1.17  cnf(231,plain,
% 1.07/1.17     (~E(f11(x2311,f11(x2312,x2313)),x2312)),
% 1.07/1.17     inference(scs_inference,[],[25,46,222,23,187,176,195,181,55,189,122,163,30,36,35,34,37,18,38,6])).
% 1.07/1.17  cnf(232,plain,
% 1.07/1.17     (~E(f11(f11(x2321,x2322),x2323),x2322)),
% 1.07/1.17     inference(rename_variables,[],[195])).
% 1.07/1.17  cnf(235,plain,
% 1.07/1.17     (~E(f11(x2351,f11(x2352,x2353)),x2353)),
% 1.07/1.17     inference(scs_inference,[],[25,46,222,23,24,187,176,195,232,181,55,189,91,122,163,30,36,35,34,37,18,38,6,29,3])).
% 1.07/1.17  cnf(241,plain,
% 1.07/1.17     (P3(f10(a1,a1),f10(f11(a1,x2411),f11(a1,x2411)))),
% 1.07/1.17     inference(scs_inference,[],[25,225,46,222,23,24,174,187,176,195,232,211,181,55,189,91,122,163,172,30,36,35,34,37,18,38,6,29,3,2,17,16])).
% 1.07/1.17  cnf(242,plain,
% 1.07/1.17     (E(x2421,f10(x2421,x2421))),
% 1.07/1.17     inference(rename_variables,[],[46])).
% 1.07/1.17  cnf(249,plain,
% 1.07/1.17     (E(f11(x2491,x2492),f11(x2491,f10(x2492,x2492)))),
% 1.07/1.17     inference(scs_inference,[],[25,225,46,222,242,23,24,174,187,176,195,232,211,181,55,189,91,122,163,172,30,36,35,34,37,18,38,6,29,3,2,17,16,32,13,10,9,7])).
% 1.07/1.17  cnf(250,plain,
% 1.07/1.17     (E(f10(x2501,x2502),f10(x2501,f10(x2502,x2502)))),
% 1.07/1.17     inference(scs_inference,[],[25,225,46,222,242,23,24,174,187,176,195,232,211,181,55,189,91,122,163,172,30,36,35,34,37,18,38,6,29,3,2,17,16,32,13,10,9,7,5])).
% 1.07/1.17  cnf(251,plain,
% 1.07/1.17     (E(f10(x2511,x2512),f10(f10(x2511,x2511),x2512))),
% 1.07/1.17     inference(scs_inference,[],[25,225,46,222,242,23,24,174,187,176,195,232,211,181,55,189,91,122,163,172,30,36,35,34,37,18,38,6,29,3,2,17,16,32,13,10,9,7,5,4])).
% 1.07/1.17  cnf(259,plain,
% 1.07/1.17     (P3(f5(a1,a1,f10(a8,a8)),f10(a8,a8))),
% 1.07/1.17     inference(scs_inference,[],[25,225,46,222,242,23,217,24,174,187,176,195,232,211,205,181,55,189,91,122,163,167,172,30,36,35,34,37,18,38,6,29,3,2,17,16,32,13,10,9,7,5,4,12,11,8,41,39])).
% 1.07/1.17  cnf(262,plain,
% 1.07/1.17     (P2(f10(f11(a6,a9),f11(a6,a9)),f10(a8,a8))),
% 1.07/1.17     inference(scs_inference,[],[46,259,137,205,45,19])).
% 1.07/1.17  cnf(263,plain,
% 1.07/1.17     (E(x2631,f10(x2631,x2631))),
% 1.07/1.17     inference(rename_variables,[],[46])).
% 1.07/1.17  cnf(265,plain,
% 1.07/1.17     (E(f10(x2651,x2652),f10(x2652,x2651))),
% 1.07/1.17     inference(rename_variables,[],[25])).
% 1.07/1.17  cnf(267,plain,
% 1.07/1.17     (~P3(f10(a8,a8),f5(a1,a1,f10(a8,a8)))),
% 1.07/1.17     inference(scs_inference,[],[25,46,259,203,137,205,45,19,39,35])).
% 1.07/1.17  cnf(270,plain,
% 1.07/1.17     (E(f10(x2701,x2702),f10(x2702,x2701))),
% 1.07/1.17     inference(rename_variables,[],[25])).
% 1.07/1.17  cnf(275,plain,
% 1.07/1.17     (P2(f10(f10(a1,a1),f10(a1,a1)),f10(a1,a1))),
% 1.07/1.17     inference(scs_inference,[],[47,25,265,46,263,227,259,203,137,205,172,45,19,39,35,38,37,18])).
% 1.07/1.17  cnf(276,plain,
% 1.07/1.17     (E(x2761,f10(x2761,x2761))),
% 1.07/1.17     inference(rename_variables,[],[46])).
% 1.07/1.17  cnf(279,plain,
% 1.07/1.17     (~E(x2791,f11(x2792,f11(x2791,x2793)))),
% 1.07/1.17     inference(scs_inference,[],[47,25,265,46,263,231,227,259,203,137,205,172,45,19,39,35,38,37,18,29,2])).
% 1.07/1.17  cnf(280,plain,
% 1.07/1.17     (E(f10(f10(x2801,x2801),x2802),f10(x2802,x2801))),
% 1.07/1.17     inference(scs_inference,[],[47,25,265,270,46,263,90,231,227,259,203,137,205,172,45,19,39,35,38,37,18,29,2,3])).
% 1.07/1.17  cnf(282,plain,
% 1.07/1.17     (P3(f5(a1,a1,f10(a8,a8)),a8)),
% 1.07/1.17     inference(scs_inference,[],[47,25,265,270,46,263,23,90,231,227,259,203,137,205,172,45,19,39,35,38,37,18,29,2,3,17])).
% 1.07/1.17  cnf(286,plain,
% 1.07/1.17     (P3(f3(f10(a8,a8)),f10(a8,a8))),
% 1.07/1.17     inference(scs_inference,[],[47,25,265,270,46,263,23,90,231,227,259,203,137,125,187,205,172,45,19,39,35,38,37,18,29,2,3,17,16,28])).
% 1.07/1.17  cnf(288,plain,
% 1.07/1.17     (~P2(a8,a8)),
% 1.07/1.17     inference(scs_inference,[],[47,25,265,270,46,263,23,90,231,227,259,203,137,125,187,205,172,45,19,39,35,38,37,18,29,2,3,17,16,28,30])).
% 1.07/1.17  cnf(292,plain,
% 1.07/1.17     (P1(f10(a1,a1))),
% 1.07/1.17     inference(scs_inference,[],[20,47,25,265,270,46,263,276,23,90,231,227,259,203,137,125,187,205,172,45,19,39,35,38,37,18,29,2,3,17,16,28,30,7,5,15])).
% 1.07/1.17  cnf(300,plain,
% 1.07/1.17     (E(f10(f11(a9,a6),a8),a1)),
% 1.07/1.17     inference(scs_inference,[],[56,30])).
% 1.07/1.17  cnf(302,plain,
% 1.07/1.17     (P3(x3021,f11(f10(x3021,x3021),x3022))),
% 1.07/1.17     inference(scs_inference,[],[46,24,56,30,33])).
% 1.07/1.17  cnf(303,plain,
% 1.07/1.17     (E(f11(x3031,x3032),f11(x3032,x3031))),
% 1.07/1.17     inference(rename_variables,[],[24])).
% 1.07/1.17  cnf(305,plain,
% 1.07/1.17     (~E(a2,a7)),
% 1.07/1.17     inference(scs_inference,[],[21,27,46,24,56,30,33,15])).
% 1.07/1.17  cnf(306,plain,
% 1.07/1.17     (P3(f10(x3061,x3062),f11(x3063,f10(x3062,x3061)))),
% 1.07/1.17     inference(scs_inference,[],[21,27,25,46,24,303,56,30,33,15,34])).
% 1.07/1.17  cnf(307,plain,
% 1.07/1.17     (E(f11(x3071,x3072),f11(x3072,x3071))),
% 1.07/1.17     inference(rename_variables,[],[24])).
% 1.07/1.17  cnf(309,plain,
% 1.07/1.17     (~P2(a8,f10(a8,a8))),
% 1.07/1.17     inference(scs_inference,[],[21,27,25,46,24,303,23,56,288,30,33,15,34,19])).
% 1.07/1.17  cnf(310,plain,
% 1.07/1.17     (E(f10(x3101,x3101),x3101)),
% 1.07/1.17     inference(rename_variables,[],[23])).
% 1.07/1.17  cnf(311,plain,
% 1.07/1.17     (~P3(x3111,f10(f10(a1,a1),x3112))),
% 1.07/1.17     inference(scs_inference,[],[21,27,49,25,46,24,303,23,56,288,30,33,15,34,19,37])).
% 1.07/1.17  cnf(312,plain,
% 1.07/1.17     (E(f10(x3121,x3122),f10(x3122,x3121))),
% 1.07/1.17     inference(rename_variables,[],[25])).
% 1.07/1.17  cnf(314,plain,
% 1.07/1.17     (~P3(f10(a8,a8),f3(f10(a8,a8)))),
% 1.07/1.17     inference(scs_inference,[],[21,27,49,25,46,24,303,23,286,56,288,30,33,15,34,19,37,35])).
% 1.07/1.17  cnf(316,plain,
% 1.07/1.17     (P3(f3(f10(a8,a8)),a8)),
% 1.07/1.17     inference(scs_inference,[],[21,27,49,25,312,46,24,303,23,286,56,288,30,33,15,34,19,37,35,38])).
% 1.07/1.17  cnf(317,plain,
% 1.07/1.17     (E(f10(x3171,x3172),f10(x3172,x3171))),
% 1.07/1.17     inference(rename_variables,[],[25])).
% 1.07/1.17  cnf(319,plain,
% 1.07/1.17     (~E(f11(a9,a6),a8)),
% 1.07/1.17     inference(scs_inference,[],[21,27,49,25,312,46,24,303,23,286,56,288,30,33,15,34,19,37,35,38,18])).
% 1.07/1.17  cnf(320,plain,
% 1.07/1.17     (~P3(x3201,f10(a1,f10(a1,a1)))),
% 1.07/1.17     inference(scs_inference,[],[21,27,49,25,312,46,24,303,23,286,56,214,288,30,33,15,34,19,37,35,38,18,29])).
% 1.07/1.17  cnf(323,plain,
% 1.07/1.17     (~P3(x3231,f10(a1,a1))),
% 1.07/1.17     inference(rename_variables,[],[49])).
% 1.07/1.17  cnf(324,plain,
% 1.07/1.17     (~P3(f11(x3241,x3242),f10(f10(x3242,x3242),x3243))),
% 1.07/1.17     inference(scs_inference,[],[21,27,49,25,312,46,24,303,307,23,155,286,241,56,214,288,30,33,15,34,19,37,35,38,18,29,17,16])).
% 1.07/1.17  cnf(327,plain,
% 1.07/1.17     (~E(f11(x3271,f11(x3272,x3273)),f10(x3273,x3273))),
% 1.07/1.17     inference(scs_inference,[],[21,27,49,25,312,46,24,303,307,23,310,280,155,235,286,241,56,214,288,30,33,15,34,19,37,35,38,18,29,17,16,2,3])).
% 1.07/1.17  cnf(331,plain,
% 1.07/1.17     (P3(f5(f10(a1,a1),f10(a1,a1),f11(x3311,x3312)),f11(x3311,x3312))),
% 1.07/1.17     inference(scs_inference,[],[21,27,49,323,25,312,46,24,303,307,23,310,280,155,235,286,201,241,56,214,288,30,33,15,34,19,37,35,38,18,29,17,16,2,3,32,42])).
% 1.07/1.17  cnf(334,plain,
% 1.07/1.17     (P3(f5(a8,a8,f10(a1,a1)),f10(a8,a8))),
% 1.07/1.17     inference(scs_inference,[],[21,27,49,323,25,312,317,46,24,303,307,23,310,280,155,235,286,201,241,56,214,288,148,30,33,15,34,19,37,35,38,18,29,17,16,2,3,32,42,39])).
% 1.07/1.17  cnf(339,plain,
% 1.07/1.17     (E(f10(f10(x3391,x3391),f10(x3391,x3391)),x3391)),
% 1.07/1.17     inference(scs_inference,[],[21,27,49,323,25,312,317,46,24,303,307,23,310,87,280,155,235,279,286,201,241,56,214,288,148,163,30,33,15,34,19,37,35,38,18,29,17,16,2,3,32,42,39,31,36])).
% 1.07/1.17  cnf(344,plain,
% 1.07/1.17     (P2(f10(a1,a1),f10(f10(a1,a1),f10(a1,a1)))),
% 1.07/1.17     inference(scs_inference,[],[275,32])).
% 1.07/1.17  cnf(347,plain,
% 1.07/1.17     (~P3(f11(x3471,x3472),x3471)),
% 1.07/1.17     inference(rename_variables,[],[161])).
% 1.07/1.17  cnf(349,plain,
% 1.07/1.17     (~E(f11(f11(x3491,x3492),x3493),f10(x3491,x3491))),
% 1.07/1.17     inference(scs_inference,[],[24,198,275,161,347,32,33,34])).
% 1.07/1.17  cnf(352,plain,
% 1.07/1.17     (~P3(f11(x3521,x3522),f10(x3522,x3522))),
% 1.07/1.17     inference(scs_inference,[],[25,24,198,302,324,275,161,347,32,33,34,39])).
% 1.07/1.17  cnf(353,plain,
% 1.07/1.17     (E(f10(x3531,x3532),f10(x3532,x3531))),
% 1.07/1.17     inference(rename_variables,[],[25])).
% 1.07/1.17  cnf(354,plain,
% 1.07/1.17     (P3(x3541,f11(f10(x3541,x3541),x3542))),
% 1.07/1.17     inference(rename_variables,[],[302])).
% 1.07/1.17  cnf(355,plain,
% 1.07/1.17     (~P3(f11(x3551,x3552),f10(f10(x3552,x3552),x3553))),
% 1.07/1.17     inference(rename_variables,[],[324])).
% 1.07/1.17  cnf(357,plain,
% 1.07/1.17     (~P3(f11(f10(x3571,x3571),x3572),x3571)),
% 1.07/1.17     inference(scs_inference,[],[25,24,198,302,354,324,275,161,347,32,33,34,39,35])).
% 1.07/1.17  cnf(359,plain,
% 1.07/1.17     (~P3(a8,f11(f11(a9,a6),f11(a9,a6)))),
% 1.07/1.17     inference(scs_inference,[],[25,24,198,302,354,324,275,210,161,347,32,33,34,39,35,36])).
% 1.07/1.17  cnf(360,plain,
% 1.07/1.17     (E(f11(x3601,x3602),f11(x3602,x3601))),
% 1.07/1.17     inference(rename_variables,[],[24])).
% 1.07/1.17  cnf(363,plain,
% 1.07/1.17     (P3(x3631,f11(f10(x3631,x3631),x3632))),
% 1.07/1.17     inference(rename_variables,[],[302])).
% 1.07/1.17  cnf(367,plain,
% 1.07/1.17     (P2(f10(a8,a8),f11(a9,a6))),
% 1.07/1.17     inference(scs_inference,[],[47,25,46,24,23,198,302,354,324,275,210,161,347,139,32,33,34,39,35,36,38,19,18])).
% 1.07/1.17  cnf(372,plain,
% 1.07/1.17     (E(f10(x3721,x3722),f10(x3722,x3721))),
% 1.07/1.17     inference(rename_variables,[],[25])).
% 1.07/1.17  cnf(373,plain,
% 1.07/1.17     (~E(f10(x3731,x3731),f11(x3732,f11(x3733,x3731)))),
% 1.07/1.17     inference(scs_inference,[],[47,25,353,46,24,23,198,302,354,363,324,355,327,275,210,161,347,139,32,33,34,39,35,36,38,19,18,29,17,2])).
% 1.07/1.17  cnf(380,plain,
% 1.07/1.17     (P3(f10(x3801,x3802),f11(x3803,f10(x3801,x3802)))),
% 1.07/1.17     inference(scs_inference,[],[47,25,353,372,46,24,360,23,198,302,354,363,306,324,355,327,275,210,161,347,139,32,33,34,39,35,36,38,19,18,29,17,2,3,37,16])).
% 1.07/1.17  cnf(385,plain,
% 1.07/1.17     (~P3(x3851,f10(a1,a1))),
% 1.07/1.17     inference(rename_variables,[],[49])).
% 1.07/1.17  cnf(388,plain,
% 1.07/1.17     (E(f10(x3881,x3881),x3881)),
% 1.07/1.17     inference(rename_variables,[],[23])).
% 1.07/1.17  cnf(389,plain,
% 1.07/1.17     (~P3(x3891,f10(x3892,a1))),
% 1.07/1.17     inference(scs_inference,[],[23,49,385,250,58,33,15,37])).
% 1.07/1.17  cnf(392,plain,
% 1.07/1.17     (~E(f10(f10(a1,a1),x3921),f11(x3922,x3923))),
% 1.07/1.17     inference(scs_inference,[],[23,388,49,385,250,311,58,33,15,37,34])).
% 1.07/1.17  cnf(395,plain,
% 1.07/1.17     (~E(f10(a1,a1),f10(f11(x3951,x3952),f11(x3951,x3952)))),
% 1.07/1.17     inference(scs_inference,[],[23,388,49,385,250,331,311,58,33,15,37,34,39])).
% 1.07/1.17  cnf(398,plain,
% 1.07/1.17     (~P3(f11(x3981,f10(x3982,x3983)),f10(x3982,x3983))),
% 1.07/1.17     inference(scs_inference,[],[23,388,49,385,250,380,331,311,58,33,15,37,34,39,35])).
% 1.07/1.17  cnf(400,plain,
% 1.07/1.17     (~P3(f11(x4001,x4002),f10(f10(x4001,x4003),f10(x4001,x4003)))),
% 1.07/1.17     inference(scs_inference,[],[23,388,49,385,250,380,331,311,58,161,33,15,37,34,39,35,38])).
% 1.07/1.17  cnf(401,plain,
% 1.07/1.17     (E(f10(x4011,x4011),x4011)),
% 1.07/1.17     inference(rename_variables,[],[23])).
% 1.07/1.17  cnf(404,plain,
% 1.07/1.17     (~P3(x4041,f10(f11(a9,a6),a8))),
% 1.07/1.17     inference(scs_inference,[],[23,388,49,385,250,380,331,311,309,300,58,78,161,33,15,37,34,39,35,38,19,29])).
% 1.07/1.17  cnf(406,plain,
% 1.07/1.17     (~P2(f10(a8,a8),f10(a8,a8))),
% 1.07/1.17     inference(scs_inference,[],[23,388,401,49,385,250,380,331,311,309,300,58,78,161,33,15,37,34,39,35,38,19,29,18])).
% 1.07/1.17  cnf(408,plain,
% 1.07/1.17     (P3(a6,f10(f10(a8,a8),a8))),
% 1.07/1.17     inference(scs_inference,[],[23,388,401,49,385,250,380,331,311,309,300,58,89,75,78,161,33,15,37,34,39,35,38,19,29,18,17])).
% 1.07/1.17  cnf(410,plain,
% 1.07/1.17     (E(x4101,f10(f10(x4101,x4101),f10(x4101,x4101)))),
% 1.07/1.17     inference(scs_inference,[],[23,388,401,49,385,339,250,380,331,311,309,300,58,89,75,78,161,33,15,37,34,39,35,38,19,29,18,17,2])).
% 1.07/1.17  cnf(411,plain,
% 1.07/1.17     (E(f10(f11(a9,a6),a8),f10(a1,a1))),
% 1.07/1.17     inference(scs_inference,[],[23,388,401,49,385,46,339,250,380,331,311,309,300,58,89,75,78,161,33,15,37,34,39,35,38,19,29,18,17,2,3])).
% 1.07/1.17  cnf(413,plain,
% 1.07/1.17     (E(f10(x4131,a1),a1)),
% 1.07/1.17     inference(scs_inference,[],[389,28])).
% 1.07/1.17  cnf(414,plain,
% 1.07/1.17     (~P3(x4141,f10(x4142,a1))),
% 1.07/1.17     inference(rename_variables,[],[389])).
% 1.07/1.17  cnf(419,plain,
% 1.07/1.17     (E(f10(f10(x4191,a1),x4192),f10(a1,x4192))),
% 1.07/1.17     inference(scs_inference,[],[389,28,13,10,9,4])).
% 1.07/1.17  cnf(427,plain,
% 1.07/1.17     (P3(f10(x4271,a1),f10(f11(x4272,a1),f11(x4272,a1)))),
% 1.07/1.17     inference(scs_inference,[],[23,389,28,13,10,9,4,31,12,8,11,5,7,33])).
% 1.07/1.17  cnf(428,plain,
% 1.07/1.17     (E(f10(x4281,x4281),x4281)),
% 1.07/1.17     inference(rename_variables,[],[23])).
% 1.07/1.17  cnf(430,plain,
% 1.07/1.17     (P1(f10(f10(a1,a1),f10(a1,a1)))),
% 1.07/1.17     inference(scs_inference,[],[23,46,292,389,28,13,10,9,4,31,12,8,11,5,7,33,15])).
% 1.07/1.17  cnf(431,plain,
% 1.07/1.17     (E(x4311,f10(x4311,x4311))),
% 1.07/1.17     inference(rename_variables,[],[46])).
% 1.07/1.17  cnf(432,plain,
% 1.07/1.17     (~E(f10(a8,a8),f10(x4321,f10(x4322,a1)))),
% 1.07/1.17     inference(scs_inference,[],[23,46,292,334,389,414,28,13,10,9,4,31,12,8,11,5,7,33,15,37])).
% 1.07/1.17  cnf(435,plain,
% 1.07/1.17     (~P3(f10(a8,a8),f5(a8,a8,f10(a1,a1)))),
% 1.07/1.17     inference(scs_inference,[],[23,46,292,334,389,414,28,13,10,9,4,31,12,8,11,5,7,33,15,37,35])).
% 1.07/1.17  cnf(438,plain,
% 1.07/1.17     (E(f10(x4381,x4381),x4381)),
% 1.07/1.17     inference(rename_variables,[],[23])).
% 1.07/1.17  cnf(440,plain,
% 1.07/1.17     (~P3(f5(a8,a8,f10(a1,a1)),f11(a9,a6))),
% 1.07/1.17     inference(scs_inference,[],[23,428,46,292,334,404,389,414,250,28,13,10,9,4,31,12,8,11,5,7,33,15,37,35,34,39])).
% 1.07/1.17  cnf(441,plain,
% 1.07/1.17     (~P3(x4411,f10(f11(a9,a6),a8))),
% 1.07/1.17     inference(rename_variables,[],[404])).
% 1.07/1.17  cnf(446,plain,
% 1.07/1.17     (~P2(f10(a8,a8),f10(f10(a8,a8),f10(a8,a8)))),
% 1.07/1.17     inference(scs_inference,[],[23,428,438,46,406,292,334,404,389,414,408,250,28,13,10,9,4,31,12,8,11,5,7,33,15,37,35,34,39,29,19])).
% 1.07/1.17  cnf(454,plain,
% 1.07/1.17     (~E(f10(x4541,x4541),f11(f11(x4542,x4541),x4543))),
% 1.07/1.17     inference(scs_inference,[],[23,428,438,46,431,24,349,373,406,314,292,334,404,441,262,389,414,408,250,28,13,10,9,4,31,12,8,11,5,7,33,15,37,35,34,39,29,19,16,18,17,2,3])).
% 1.07/1.17  cnf(456,plain,
% 1.07/1.17     (~P2(f10(f10(a8,a8),f10(a8,a8)),f10(a8,a8))),
% 1.07/1.17     inference(scs_inference,[],[23,428,438,46,431,24,349,373,406,314,292,334,404,441,262,389,414,408,250,28,13,10,9,4,31,12,8,11,5,7,33,15,37,35,34,39,29,19,16,18,17,2,3,32])).
% 1.07/1.17  cnf(458,plain,
% 1.07/1.17     (E(f11(f10(x4581,a1),x4582),f11(a1,x4582))),
% 1.07/1.17     inference(scs_inference,[],[23,428,438,46,431,24,349,373,406,314,292,334,404,441,262,389,414,408,250,28,13,10,9,4,31,12,8,11,5,7,33,15,37,35,34,39,29,19,16,18,17,2,3,32,6])).
% 1.07/1.17  cnf(467,plain,
% 1.07/1.17     (P2(f11(a9,a6),f10(a8,a8))),
% 1.07/1.17     inference(scs_inference,[],[367,32])).
% 1.07/1.17  cnf(469,plain,
% 1.07/1.17     (~E(f10(f10(a8,a8),f10(a8,a8)),a1)),
% 1.07/1.17     inference(scs_inference,[],[367,406,32,31])).
% 1.07/1.17  cnf(474,plain,
% 1.07/1.17     (E(f11(x4741,x4742),f11(x4742,x4741))),
% 1.07/1.17     inference(rename_variables,[],[24])).
% 1.07/1.17  cnf(476,plain,
% 1.07/1.17     (P3(f10(x4761,a1),f11(x4762,a1))),
% 1.07/1.17     inference(scs_inference,[],[24,57,25,367,432,427,406,32,31,5,36,37])).
% 1.07/1.17  cnf(477,plain,
% 1.07/1.17     (E(f10(x4771,x4772),f10(x4772,x4771))),
% 1.07/1.17     inference(rename_variables,[],[25])).
% 1.07/1.17  cnf(481,plain,
% 1.07/1.17     (~P3(f11(f10(x4811,x4811),x4812),f10(x4813,x4811))),
% 1.07/1.17     inference(scs_inference,[],[24,57,25,477,357,367,432,427,224,406,32,31,5,36,37,35,38])).
% 1.07/1.17  cnf(484,plain,
% 1.07/1.17     (P3(f5(f10(a1,a1),f10(a1,a1),a8),f10(a8,a8))),
% 1.07/1.17     inference(scs_inference,[],[24,57,25,477,357,367,432,427,224,95,406,32,31,5,36,37,35,38,39])).
% 1.07/1.17  cnf(485,plain,
% 1.07/1.17     (E(f10(x4851,x4852),f10(x4852,x4851))),
% 1.07/1.17     inference(rename_variables,[],[25])).
% 1.07/1.17  cnf(490,plain,
% 1.07/1.17     (P2(f10(a8,a8),f11(a6,a9))),
% 1.07/1.17     inference(scs_inference,[],[24,474,57,27,25,477,47,357,430,367,432,427,224,95,339,406,32,31,5,36,37,35,38,39,15,16,19])).
% 1.07/1.17  cnf(491,plain,
% 1.07/1.17     (E(f11(x4911,x4912),f11(x4912,x4911))),
% 1.07/1.17     inference(rename_variables,[],[24])).
% 1.07/1.17  cnf(492,plain,
% 1.07/1.17     (P2(f11(a6,a9),f10(a8,a8))),
% 1.07/1.17     inference(scs_inference,[],[24,474,491,57,27,25,477,47,357,430,367,432,427,224,95,339,406,32,31,5,36,37,35,38,39,15,16,19,18])).
% 1.07/1.17  cnf(493,plain,
% 1.07/1.17     (E(f11(x4931,x4932),f11(x4932,x4931))),
% 1.07/1.17     inference(rename_variables,[],[24])).
% 1.07/1.17  cnf(494,plain,
% 1.07/1.17     (E(f10(f10(a1,a1),x4941),f10(a1,a1))),
% 1.07/1.17     inference(scs_inference,[],[24,474,491,57,27,25,477,47,357,144,430,367,432,427,224,95,339,406,32,31,5,36,37,35,38,39,15,16,19,18,2])).
% 1.07/1.17  cnf(497,plain,
% 1.07/1.17     (~E(f11(f11(x4971,x4972),x4973),f10(x4971,x4974))),
% 1.07/1.17     inference(scs_inference,[],[24,474,491,493,57,27,25,477,485,47,357,398,228,144,430,367,432,427,224,95,339,406,32,31,5,36,37,35,38,39,15,16,19,18,2,17,3])).
% 1.07/1.17  cnf(499,plain,
% 1.07/1.17     (E(f11(x4991,x4992),f11(x4992,x4991))),
% 1.07/1.17     inference(rename_variables,[],[24])).
% 1.07/1.17  cnf(500,plain,
% 1.07/1.17     (~E(f5(a8,a8,f10(a1,a1)),a6)),
% 1.07/1.17     inference(scs_inference,[],[24,474,491,493,499,57,27,25,477,485,47,357,398,228,144,430,367,440,432,427,224,95,339,406,32,31,5,36,37,35,38,39,15,16,19,18,2,17,3,34])).
% 1.07/1.17  cnf(503,plain,
% 1.07/1.17     (~E(f11(f10(x5031,x5032),x5033),a1)),
% 1.07/1.17     inference(scs_inference,[],[24,474,491,493,499,57,27,25,477,485,47,357,398,228,144,430,367,440,432,427,224,95,339,176,406,32,31,5,36,37,35,38,39,15,16,19,18,2,17,3,34,29])).
% 1.07/1.17  cnf(513,plain,
% 1.07/1.17     (P3(f11(x5131,x5132),f11(f11(x5132,x5131),x5133))),
% 1.07/1.17     inference(scs_inference,[],[24,249,484,305,302,36,35,34])).
% 1.07/1.17  cnf(514,plain,
% 1.07/1.17     (E(f11(x5141,x5142),f11(x5141,f10(x5142,x5142)))),
% 1.07/1.17     inference(rename_variables,[],[249])).
% 1.07/1.17  cnf(516,plain,
% 1.07/1.17     (~P3(f11(x5161,x5162),x5162)),
% 1.07/1.17     inference(scs_inference,[],[24,410,249,352,484,305,302,36,35,34,37])).
% 1.07/1.17  cnf(524,plain,
% 1.07/1.17     (~P2(f11(x5241,x5242),f11(x5241,x5242))),
% 1.07/1.17     inference(rename_variables,[],[208])).
% 1.07/1.17  cnf(525,plain,
% 1.07/1.17     (P3(f10(a6,a6),f10(a8,a8))),
% 1.07/1.17     inference(scs_inference,[],[24,46,410,249,251,352,467,484,192,305,208,302,389,36,35,34,37,39,19,16])).
% 1.07/1.17  cnf(527,plain,
% 1.07/1.17     (~P2(f11(x5271,x5272),f11(x5272,x5271))),
% 1.07/1.17     inference(scs_inference,[],[24,46,410,249,251,352,467,484,192,305,208,524,302,389,36,35,34,37,39,19,16,18])).
% 1.07/1.17  cnf(528,plain,
% 1.07/1.17     (E(f11(x5281,x5282),f11(x5282,x5281))),
% 1.07/1.17     inference(rename_variables,[],[24])).
% 1.07/1.17  cnf(531,plain,
% 1.07/1.17     (E(f11(x5311,x5312),f11(x5312,x5311))),
% 1.07/1.17     inference(rename_variables,[],[24])).
% 1.07/1.17  cnf(532,plain,
% 1.07/1.17     (E(f11(x5321,x5322),f11(f10(x5322,x5322),x5321))),
% 1.07/1.17     inference(scs_inference,[],[24,528,531,46,410,249,514,251,352,497,467,484,192,476,305,208,524,302,389,36,35,34,37,39,19,16,18,2,17,3])).
% 1.07/1.17  cnf(535,plain,
% 1.07/1.17     (E(f10(f11(a9,a6),f10(a8,a8)),a1)),
% 1.07/1.17     inference(scs_inference,[],[24,528,531,46,410,249,514,251,352,497,467,484,192,476,305,208,524,302,389,36,35,34,37,39,19,16,18,2,17,3,30])).
% 1.07/1.17  cnf(538,plain,
% 1.07/1.17     (~P3(x5381,f10(f11(a9,a6),f10(a8,a8)))),
% 1.07/1.17     inference(scs_inference,[],[24,528,531,46,410,249,514,251,352,497,467,484,192,476,305,208,524,302,389,36,35,34,37,39,19,16,18,2,17,3,30,6,29])).
% 1.07/1.17  cnf(547,plain,
% 1.07/1.17     (P3(f10(a6,a6),a8)),
% 1.07/1.17     inference(scs_inference,[],[25,525,500,148,36,38])).
% 1.07/1.17  cnf(553,plain,
% 1.07/1.17     (~P3(x5531,f10(f11(a9,a6),f10(a8,a8)))),
% 1.07/1.17     inference(rename_variables,[],[538])).
% 1.07/1.17  cnf(555,plain,
% 1.07/1.17     (~E(f11(f11(x5551,x5552),x5553),f10(x5554,x5551))),
% 1.07/1.17     inference(scs_inference,[],[25,513,516,538,525,535,500,148,36,38,35,34,37])).
% 1.07/1.17  cnf(559,plain,
% 1.07/1.17     (~P3(x5591,f10(f11(a9,a6),f10(a8,a8)))),
% 1.07/1.17     inference(rename_variables,[],[538])).
% 1.07/1.17  cnf(563,plain,
% 1.07/1.17     (~P2(f11(x5631,f10(x5632,x5632)),f11(x5631,x5632))),
% 1.07/1.17     inference(scs_inference,[],[25,532,527,513,516,538,553,525,316,535,500,148,36,38,35,34,37,39,29,19])).
% 1.07/1.17  cnf(568,plain,
% 1.07/1.17     (E(f11(f10(x5681,x5681),x5682),f11(x5682,x5681))),
% 1.07/1.17     inference(scs_inference,[],[25,65,532,527,513,516,456,538,553,492,525,316,535,500,148,23,36,38,35,34,37,39,29,19,16,18,2])).
% 1.07/1.17  cnf(572,plain,
% 1.07/1.17     (~P2(f11(x5721,x5722),f11(x5721,f10(x5722,x5722)))),
% 1.07/1.17     inference(scs_inference,[],[25,65,532,527,513,516,456,538,553,559,492,525,316,469,535,500,413,148,23,36,38,35,34,37,39,29,19,16,18,2,3,17,32])).
% 1.07/1.18  cnf(578,plain,
% 1.07/1.18     (~P3(f11(a9,a6),f11(f10(a8,a8),a8))),
% 1.07/1.18     inference(scs_inference,[],[568,319,262,32,36])).
% 1.07/1.18  cnf(589,plain,
% 1.07/1.18     (E(f10(f10(x5891,a1),x5892),f10(a1,x5892))),
% 1.07/1.18     inference(rename_variables,[],[419])).
% 1.07/1.18  cnf(591,plain,
% 1.07/1.18     (P2(f10(a1,a1),f10(a1,f10(a1,a1)))),
% 1.07/1.18     inference(scs_inference,[],[568,344,419,589,319,359,282,198,211,262,302,32,36,35,34,39,19])).
% 1.07/1.18  cnf(598,plain,
% 1.07/1.18     (~E(f10(x5981,f10(a1,a1)),f11(x5982,x5983))),
% 1.07/1.18     inference(scs_inference,[],[25,56,46,568,400,555,392,344,419,589,319,359,282,198,211,262,302,75,32,36,35,34,39,19,16,2,18,3])).
% 1.07/1.18  cnf(600,plain,
% 1.07/1.18     (E(f10(x6001,x6002),f10(x6002,x6001))),
% 1.07/1.18     inference(rename_variables,[],[25])).
% 1.07/1.18  cnf(603,plain,
% 1.07/1.18     (P3(f5(f11(x6031,x6032),f11(x6031,x6032),f10(a1,a1)),f11(x6031,x6032))),
% 1.07/1.18     inference(scs_inference,[],[25,600,56,46,568,400,481,555,392,344,419,589,319,359,282,395,198,211,262,302,75,389,32,36,35,34,39,19,16,2,18,3,17,42])).
% 1.07/1.18  cnf(618,plain,
% 1.07/1.18     (P3(f10(x6181,x6181),f10(f11(x6181,x6182),f11(x6181,x6182)))),
% 1.07/1.18     inference(scs_inference,[],[72,46,458,117,410,389,42,33,37])).
% 1.07/1.18  cnf(630,plain,
% 1.07/1.18     (E(x6301,f10(x6301,x6301))),
% 1.07/1.18     inference(rename_variables,[],[46])).
% 1.07/1.18  cnf(635,plain,
% 1.07/1.18     (E(x6351,f10(x6351,x6351))),
% 1.07/1.18     inference(rename_variables,[],[46])).
% 1.07/1.18  cnf(640,plain,
% 1.07/1.18     (~P3(f11(x6401,x6402),a1)),
% 1.07/1.18     inference(scs_inference,[],[27,56,72,46,630,635,572,85,169,603,494,446,435,411,458,117,410,568,292,535,389,42,33,37,15,35,34,19,16,17,2,18,3,32,39])).
% 1.07/1.18  cnf(656,plain,
% 1.07/1.18     (~P2(f11(x6561,x6562),f11(f10(x6561,x6561),f10(x6562,x6562)))),
% 1.07/1.18     inference(scs_inference,[],[618,591,267,320,547,640,88,572,419,23,32,38,34,39,35,19])).
% 1.07/1.18  cnf(663,plain,
% 1.07/1.18     (P3(f10(x6631,x6631),f11(x6631,x6632))),
% 1.07/1.18     inference(rename_variables,[],[72])).
% 1.07/1.18  cnf(667,plain,
% 1.07/1.18     (E(f10(f10(x6671,a1),f10(x6671,a1)),a1)),
% 1.07/1.18     inference(scs_inference,[],[72,663,618,563,454,598,490,591,267,320,547,503,640,88,572,419,458,413,23,32,38,34,39,35,19,18,3,17,2,30,36])).
% 1.07/1.18  cnf(672,plain,
% 1.07/1.18     (~P3(x6721,f10(f10(a8,a8),f11(a6,a9)))),
% 1.07/1.18     inference(scs_inference,[],[72,663,618,563,454,598,490,591,267,320,547,503,640,88,572,419,458,413,23,32,38,34,39,35,19,18,3,17,2,30,36,29])).
% 1.07/1.18  cnf(683,plain,
% 1.07/1.18     ($false),
% 1.07/1.18     inference(scs_inference,[],[75,72,656,672,578,667,249,251,120,31,32,29,34,39]),
% 1.07/1.18     ['proof']).
% 1.07/1.18  % SZS output end Proof
% 1.07/1.18  % Total time :0.510000s
%------------------------------------------------------------------------------