TSTP Solution File: HWV006-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : HWV006-2 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n019.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 01:58:25 EDT 2023
% Result : Unsatisfiable 120.86s 120.89s
% Output : CNFRefutation 120.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV006-2 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n019.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 : Tue Aug 29 13:47:27 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 120.86/120.87 %-------------------------------------------
% 120.86/120.87 % File :CSE---1.6
% 120.86/120.87 % Problem :theBenchmark
% 120.86/120.87 % Transform :cnf
% 120.86/120.87 % Format :tptp:raw
% 120.86/120.87 % Command :java -jar mcs_scs.jar %d %s
% 120.86/120.87
% 120.86/120.87 % Result :Theorem 120.250000s
% 120.86/120.87 % Output :CNFRefutation 120.250000s
% 120.86/120.87 %-------------------------------------------
% 120.86/120.88 %--------------------------------------------------------------------------
% 120.86/120.88 % File : HWV006-2 : TPTP v8.1.2. Bugfixed v2.7.0.
% 120.86/120.88 % Domain : Hardware Verification
% 120.86/120.88 % Problem : A fulladder built from two halfadders and an or gate
% 120.86/120.88 % Version : [Gei96] axioms.
% 120.86/120.88 % English :
% 120.86/120.88
% 120.86/120.88 % Refs : [Gei96] Geisler (1996), Email to G. Sutcliffe
% 120.86/120.88 % Source : [Gei96]
% 120.86/120.88 % Names :
% 120.86/120.88
% 120.86/120.88 % Status : Unsatisfiable
% 120.86/120.88 % Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.29 v6.2.0, 0.11 v6.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.12 v5.4.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.14 v4.1.0, 0.25 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.00 v2.7.0
% 120.86/120.88 % Syntax : Number of clauses : 64 ( 11 unt; 5 nHn; 64 RR)
% 120.86/120.88 % Number of literals : 144 ( 0 equ; 86 neg)
% 120.86/120.88 % Maximal clause size : 4 ( 2 avg)
% 120.86/120.88 % Maximal term depth : 3 ( 2 avg)
% 120.86/120.88 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 120.86/120.88 % Number of functors : 13 ( 13 usr; 1 con; 0-1 aty)
% 120.86/120.88 % Number of variables : 55 ( 0 sgn)
% 120.86/120.88 % SPC : CNF_UNS_RFO_NEQ_NHN
% 120.86/120.88
% 120.86/120.88 % Comments :
% 120.86/120.88 % Bugfixes : v2.7.0 - Bugfix in HWV002-0.ax
% 120.86/120.88 %--------------------------------------------------------------------------
% 120.86/120.88 %----Include basic diagnosis axioms
% 120.86/120.88 include('Axioms/HWV002-0.ax').
% 120.86/120.88 %----Include model of halfadder
% 120.86/120.88 include('Axioms/HWV002-1.ax').
% 120.86/120.88 %----Include model of fulladder
% 120.86/120.88 include('Axioms/HWV002-2.ax').
% 120.86/120.88 %--------------------------------------------------------------------------
% 120.86/120.88 %----Observations
% 120.86/120.88 cnf(f_isa_fulladder,hypothesis,
% 120.86/120.88 fulladder(f) ).
% 120.86/120.88
% 120.86/120.88 cnf(in1_1,hypothesis,
% 120.86/120.88 one(in1(f)) ).
% 120.86/120.88
% 120.86/120.88 cnf(in2_0,hypothesis,
% 120.86/120.88 zero(in2(f)) ).
% 120.86/120.88
% 120.86/120.88 cnf(inc_1,hypothesis,
% 120.86/120.88 one(inc(f)) ).
% 120.86/120.88
% 120.86/120.88 cnf(outs_1,hypothesis,
% 120.86/120.88 one(outs(f)) ).
% 120.86/120.88
% 120.86/120.88 cnf(outc_0,hypothesis,
% 120.86/120.88 zero(outc(f)) ).
% 120.86/120.88
% 120.86/120.88 %----Minimal diagnosis
% 120.86/120.88 cnf(diagnosis_or1_not1h2,negated_conjecture,
% 120.86/120.88 ( ~ abnormal(or1(f))
% 120.86/120.88 | ~ abnormal(not1(h2(f))) ) ).
% 120.86/120.88
% 120.86/120.88 cnf(diagnosis_and2,negated_conjecture,
% 120.86/120.88 ~ abnormal(and2(h2(f))) ).
% 120.86/120.88
% 120.86/120.88 cnf(diagnosis_or1_and1h2,negated_conjecture,
% 120.86/120.88 ( ~ abnormal(or1(f))
% 120.86/120.88 | ~ abnormal(and1(h2(f))) ) ).
% 120.86/120.88
% 120.86/120.88 cnf(diagnosis_or1h1,negated_conjecture,
% 120.86/120.88 ~ abnormal(or1(h1(f))) ).
% 120.86/120.89
% 120.86/120.89 cnf(diagnosis_not1h1,negated_conjecture,
% 120.86/120.89 ~ abnormal(not1(h1(f))) ).
% 120.86/120.89
% 120.86/120.89 cnf(diagnosis_and2h1,negated_conjecture,
% 120.86/120.89 ~ abnormal(and2(h1(f))) ).
% 120.86/120.89
% 120.86/120.89 cnf(diagnosis_and1h1,negated_conjecture,
% 120.86/120.89 ~ abnormal(and1(h1(f))) ).
% 120.86/120.89
% 120.86/120.89 %--------------------------------------------------------------------------
% 120.86/120.89 %-------------------------------------------
% 120.86/120.89 % Proof found
% 120.86/120.89 % SZS status Theorem for theBenchmark
% 120.86/120.89 % SZS output start Proof
% 120.86/120.89 %ClaNum:64(EqnAxiom:0)
% 120.86/120.89 %VarNum:150(SingletonVarNum:55)
% 120.86/120.89 %MaxLitNum:4
% 120.86/120.89 %MaxfuncDepth:2
% 120.86/120.89 %SharedTerms:26
% 120.86/120.89 %goalClause: 7 8 9 10 11 42 43
% 120.86/120.89 %singleGoalClaCount:5
% 120.86/120.89 [1]P1(a1)
% 120.86/120.89 [2]P5(f4(a1))
% 120.86/120.89 [3]P5(f8(a1))
% 120.86/120.89 [4]P6(f5(a1))
% 120.86/120.89 [5]P6(f13(a1))
% 120.86/120.89 [6]P6(f9(a1))
% 120.86/120.89 [7]~P2(f2(f6(a1)))
% 120.86/120.89 [8]~P2(f3(f6(a1)))
% 120.86/120.89 [9]~P2(f3(f7(a1)))
% 120.86/120.89 [10]~P2(f10(f6(a1)))
% 120.86/120.89 [11]~P2(f11(f6(a1)))
% 120.86/120.89 [42]~P2(f11(a1))+~P2(f2(f7(a1)))
% 120.86/120.89 [43]~P2(f10(f7(a1)))+~P2(f11(a1))
% 120.86/120.89 [12]~P6(x121)+~P5(x121)
% 120.86/120.89 [13]~P2(x131)+~P3(x131)
% 120.86/120.89 [14]~P12(x141)+~P2(x141)
% 120.86/120.89 [15]~P7(x151)+~P2(x151)
% 120.86/120.89 [19]~P9(x191)+P8(f2(x191))
% 120.86/120.89 [20]~P9(x201)+P8(f3(x201))
% 120.86/120.89 [21]~P9(x211)+P10(f11(x211))
% 120.86/120.89 [22]~P1(x221)+P10(f11(x221))
% 120.86/120.89 [23]~P9(x231)+P11(f10(x231))
% 120.86/120.89 [24]~P1(x241)+P9(f6(x241))
% 120.86/120.89 [25]~P1(x251)+P9(f7(x251))
% 120.86/120.89 [46]~P9(x461)+P4(f5(x461),f5(f3(x461)))
% 120.86/120.89 [47]~P9(x471)+P4(f5(x471),f5(f11(x471)))
% 120.86/120.89 [48]~P1(x481)+P4(f5(x481),f5(f7(x481)))
% 120.86/120.89 [49]~P1(x491)+P4(f4(x491),f5(f6(x491)))
% 120.86/120.89 [50]~P9(x501)+P4(f4(x501),f4(f3(x501)))
% 120.86/120.89 [51]~P9(x511)+P4(f4(x511),f4(f11(x511)))
% 120.86/120.89 [52]~P9(x521)+P4(f13(x521),f12(f2(x521)))
% 120.86/120.89 [53]~P1(x531)+P4(f13(x531),f13(f7(x531)))
% 120.86/120.89 [54]~P9(x541)+P4(f8(x541),f12(f3(x541)))
% 120.86/120.89 [55]~P1(x551)+P4(f8(x551),f12(f11(x551)))
% 120.86/120.89 [56]~P1(x561)+P4(f9(x561),f4(f6(x561)))
% 120.86/120.89 [59]~P9(x591)+P4(f12(f3(x591)),f5(f10(x591)))
% 120.86/120.89 [60]~P9(x601)+P4(f12(f10(x601)),f4(f2(x601)))
% 120.86/120.89 [61]~P9(x611)+P4(f12(f11(x611)),f5(f2(x611)))
% 120.86/120.89 [62]~P1(x621)+P4(f13(f6(x621)),f4(f7(x621)))
% 120.86/120.89 [63]~P1(x631)+P4(f8(f6(x631)),f4(f11(x631)))
% 120.86/120.89 [64]~P1(x641)+P4(f8(f7(x641)),f5(f11(x641)))
% 120.86/120.89 [16]P2(x161)+~P8(x161)+P3(x161)
% 120.86/120.89 [17]P12(x171)+~P10(x171)+P2(x171)
% 120.86/120.89 [18]P7(x181)+~P11(x181)+P2(x181)
% 120.86/120.89 [30]~P12(x301)+~P5(f12(x301))+P5(f5(x301))
% 120.86/120.89 [31]~P7(x311)+~P6(f12(x311))+P5(f5(x311))
% 120.86/120.89 [32]~P3(x321)+~P5(f5(x321))+P5(f12(x321))
% 120.86/120.89 [33]~P3(x331)+~P5(f4(x331))+P5(f12(x331))
% 120.86/120.89 [34]~P7(x341)+~P6(f5(x341))+P5(f12(x341))
% 120.86/120.89 [35]~P12(x351)+~P5(f12(x351))+P5(f4(x351))
% 120.86/120.89 [36]~P3(x361)+~P6(f12(x361))+P6(f5(x361))
% 120.86/120.89 [37]~P7(x371)+~P5(f12(x371))+P6(f5(x371))
% 120.86/120.89 [38]~P12(x381)+~P6(f5(x381))+P6(f12(x381))
% 120.86/120.89 [39]~P12(x391)+~P6(f4(x391))+P6(f12(x391))
% 120.86/120.89 [40]~P7(x401)+~P5(f5(x401))+P6(f12(x401))
% 120.86/120.89 [41]~P3(x411)+~P6(f12(x411))+P6(f4(x411))
% 120.86/120.89 [26]~P4(x262,x261)+P5(x261)+~P5(x262)
% 120.86/120.89 [27]~P4(x271,x272)+P5(x271)+~P5(x272)
% 120.86/120.89 [28]~P4(x282,x281)+P6(x281)+~P6(x282)
% 120.86/120.89 [29]~P4(x291,x292)+P6(x291)+~P6(x292)
% 120.86/120.89 [44]~P3(x441)+P5(f4(x441))+~P5(f12(x441))+P5(f5(x441))
% 120.86/120.89 [45]~P12(x451)+P6(f4(x451))+~P6(f12(x451))+P6(f5(x451))
% 120.86/120.89 [57]~P12(x571)+~P5(f5(x571))+~P5(f4(x571))+P5(f12(x571))
% 120.86/120.89 [58]~P3(x581)+~P6(f5(x581))+~P6(f4(x581))+P6(f12(x581))
% 120.86/120.89 %EqnAxiom
% 120.86/120.89
% 120.86/120.89 %-------------------------------------------
% 120.86/120.92 cnf(65,plain,
% 120.86/120.92 (~P6(f4(a1))),
% 120.86/120.92 inference(scs_inference,[],[2,12])).
% 120.86/120.92 cnf(69,plain,
% 120.86/120.92 (P9(f7(a1))),
% 120.86/120.92 inference(scs_inference,[],[1,2,4,12,29,28,25])).
% 120.86/120.92 cnf(71,plain,
% 120.86/120.92 (P9(f6(a1))),
% 120.86/120.92 inference(scs_inference,[],[1,2,4,12,29,28,25,24])).
% 120.86/120.92 cnf(73,plain,
% 120.86/120.92 (P11(f10(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[1,2,4,12,29,28,25,24,23])).
% 120.86/120.92 cnf(75,plain,
% 120.86/120.92 (P10(f11(a1))),
% 120.86/120.92 inference(scs_inference,[],[1,2,4,12,29,28,25,24,23,22])).
% 120.86/120.92 cnf(79,plain,
% 120.86/120.92 (P8(f3(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[1,2,4,12,29,28,25,24,23,22,21,20])).
% 120.86/120.92 cnf(81,plain,
% 120.86/120.92 (P8(f2(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[1,2,4,12,29,28,25,24,23,22,21,20,19])).
% 120.86/120.92 cnf(83,plain,
% 120.86/120.92 (P4(f8(f7(a1)),f5(f11(a1)))),
% 120.86/120.92 inference(scs_inference,[],[1,2,4,12,29,28,25,24,23,22,21,20,19,64])).
% 120.86/120.92 cnf(85,plain,
% 120.86/120.92 (P4(f8(f6(a1)),f4(f11(a1)))),
% 120.86/120.92 inference(scs_inference,[],[1,2,4,12,29,28,25,24,23,22,21,20,19,64,63])).
% 120.86/120.92 cnf(87,plain,
% 120.86/120.92 (P4(f13(f6(a1)),f4(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[1,2,4,12,29,28,25,24,23,22,21,20,19,64,63,62])).
% 120.86/120.92 cnf(89,plain,
% 120.86/120.92 (P4(f9(a1),f4(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[1,2,4,12,29,28,25,24,23,22,21,20,19,64,63,62,56])).
% 120.86/120.92 cnf(91,plain,
% 120.86/120.92 (P4(f8(a1),f12(f11(a1)))),
% 120.86/120.92 inference(scs_inference,[],[1,2,4,12,29,28,25,24,23,22,21,20,19,64,63,62,56,55])).
% 120.86/120.92 cnf(93,plain,
% 120.86/120.92 (P4(f13(a1),f13(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[1,2,4,12,29,28,25,24,23,22,21,20,19,64,63,62,56,55,53])).
% 120.86/120.92 cnf(95,plain,
% 120.86/120.92 (P4(f4(a1),f5(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[1,2,4,12,29,28,25,24,23,22,21,20,19,64,63,62,56,55,53,49])).
% 120.86/120.92 cnf(97,plain,
% 120.86/120.92 (P4(f5(a1),f5(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[1,2,4,12,29,28,25,24,23,22,21,20,19,64,63,62,56,55,53,49,48])).
% 120.86/120.92 cnf(101,plain,
% 120.86/120.92 (P5(f5(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[1,2,4,12,29,28,25,24,23,22,21,20,19,64,63,62,56,55,53,49,48,27,26])).
% 120.86/120.92 cnf(103,plain,
% 120.86/120.92 (P3(f2(f6(a1)))+~P8(f2(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[7,1,2,4,12,29,28,25,24,23,22,21,20,19,64,63,62,56,55,53,49,48,27,26,16])).
% 120.86/120.92 cnf(113,plain,
% 120.86/120.92 (~P5(f13(a1))),
% 120.86/120.92 inference(scs_inference,[],[5,12])).
% 120.86/120.92 cnf(115,plain,
% 120.86/120.92 (P6(f13(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[5,93,12,28])).
% 120.86/120.92 cnf(117,plain,
% 120.86/120.92 (~P5(f13(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[5,93,12,28,27])).
% 120.86/120.92 cnf(121,plain,
% 120.86/120.92 (P5(f12(f11(a1)))),
% 120.86/120.92 inference(scs_inference,[],[3,5,91,93,65,12,28,27,29,26])).
% 120.86/120.92 cnf(123,plain,
% 120.86/120.92 (P2(f10(f7(a1)))+P7(f10(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[3,5,73,91,93,65,12,28,27,29,26,18])).
% 120.86/120.92 cnf(125,plain,
% 120.86/120.92 (P3(f3(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[3,5,9,73,79,91,93,65,12,28,27,29,26,18,16])).
% 120.86/120.92 cnf(146,plain,
% 120.86/120.92 (~P6(f8(a1))),
% 120.86/120.92 inference(scs_inference,[],[3,12])).
% 120.86/120.92 cnf(150,plain,
% 120.86/120.92 (~P6(f5(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[65,3,117,95,12,27,29])).
% 120.86/120.92 cnf(152,plain,
% 120.86/120.92 (P6(f4(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[6,65,3,117,89,95,12,27,29,28])).
% 120.86/120.92 cnf(169,plain,
% 120.86/120.92 (~P5(f9(a1))),
% 120.86/120.92 inference(scs_inference,[],[6,12])).
% 120.86/120.92 cnf(197,plain,
% 120.86/120.92 (~P6(f12(f11(a1)))),
% 120.86/120.92 inference(scs_inference,[],[121,12])).
% 120.86/120.92 cnf(201,plain,
% 120.86/120.92 (~P5(f4(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[5,65,169,89,121,12,28,27])).
% 120.86/120.92 cnf(205,plain,
% 120.86/120.92 (P11(f10(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[5,65,150,71,169,89,121,12,28,27,29,23])).
% 120.86/120.92 cnf(209,plain,
% 120.86/120.92 (P10(f11(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[5,4,65,150,71,169,89,121,12,28,27,29,23,34,21])).
% 120.86/120.92 cnf(211,plain,
% 120.86/120.92 (P8(f3(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[5,4,65,150,71,169,89,121,12,28,27,29,23,34,21,20])).
% 120.86/120.92 cnf(213,plain,
% 120.86/120.92 (P8(f2(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[5,4,65,150,71,169,89,121,12,28,27,29,23,34,21,20,19])).
% 120.86/120.92 cnf(221,plain,
% 120.86/120.92 (P5(f4(f3(f7(a1))))+~P5(f12(f3(f7(a1))))+P5(f5(f3(f7(a1))))),
% 120.86/120.92 inference(scs_inference,[],[5,4,2,65,150,71,169,89,125,101,121,12,28,27,29,23,34,21,20,19,26,40,39,44])).
% 120.86/120.92 cnf(233,plain,
% 120.86/120.92 (P3(f2(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[213,103])).
% 120.86/120.92 cnf(238,plain,
% 120.86/120.92 (~P5(f5(a1))),
% 120.86/120.92 inference(scs_inference,[],[4,12])).
% 120.86/120.92 cnf(242,plain,
% 120.86/120.92 (P6(f5(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[4,3,97,201,12,27,28])).
% 120.86/120.92 cnf(246,plain,
% 120.86/120.92 (P3(f3(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[4,3,97,201,211,8,12,27,28,31,16])).
% 120.86/120.92 cnf(267,plain,
% 120.86/120.92 (P7(f10(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[10,6,3,65,205,238,28,27,18])).
% 120.86/120.92 cnf(269,plain,
% 120.86/120.92 (~P12(f11(a1))+P5(f5(f11(a1)))),
% 120.86/120.92 inference(scs_inference,[],[10,6,3,65,205,238,121,28,27,18,30])).
% 120.86/120.92 cnf(271,plain,
% 120.86/120.92 (~P5(f5(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[10,6,3,65,205,242,238,121,28,27,18,30,12])).
% 120.86/120.92 cnf(273,plain,
% 120.86/120.92 (P2(f11(a1))+P5(f5(f11(a1)))),
% 120.86/120.92 inference(scs_inference,[],[10,6,3,65,205,242,75,238,121,28,27,18,30,12,17])).
% 120.86/120.92 cnf(290,plain,
% 120.86/120.92 (P12(f11(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[11,209,17])).
% 120.86/120.92 cnf(435,plain,
% 120.86/120.92 (~P6(f4(f11(f6(a1))))+P6(f12(f11(f6(a1))))),
% 120.86/120.92 inference(scs_inference,[],[2,6,146,169,290,150,125,271,29,27,28,30,26,44,36,39])).
% 120.86/120.92 cnf(454,plain,
% 120.86/120.92 (P5(f4(f2(f6(a1))))+P5(f5(f2(f6(a1))))+~P5(f12(f2(f6(a1))))),
% 120.86/120.92 inference(scs_inference,[],[2,65,233,152,117,242,150,27,28,37,58,44])).
% 120.86/120.92 cnf(470,plain,
% 120.86/120.92 (~P6(f4(f2(f6(a1))))+~P6(f5(f2(f6(a1))))+P6(f12(f2(f6(a1))))),
% 120.86/120.92 inference(scs_inference,[],[5,65,233,29,41,58])).
% 120.86/120.92 cnf(492,plain,
% 120.86/120.92 (~P5(f12(f10(f6(a1))))+P6(f5(f10(f6(a1))))),
% 120.86/120.92 inference(scs_inference,[],[3,5,65,7,238,267,29,26,17,37])).
% 120.86/120.92 cnf(494,plain,
% 120.86/120.92 (P3(f2(f7(a1)))+P2(f2(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[3,5,65,81,7,238,267,29,26,17,37,16])).
% 120.86/120.92 cnf(496,plain,
% 120.86/120.92 (~P3(f10(f6(a1)))+~P5(f5(f10(f6(a1))))+P6(f5(f10(f6(a1))))),
% 120.86/120.92 inference(scs_inference,[],[3,5,65,81,7,238,267,29,26,17,37,16,32])).
% 120.86/120.92 cnf(604,plain,
% 120.86/120.92 (~P5(f5(f10(f6(a1))))+P6(f12(f10(f6(a1))))),
% 120.86/120.92 inference(scs_inference,[],[6,65,113,267,121,29,27,26,28,40])).
% 120.86/120.92 cnf(631,plain,
% 120.86/120.92 (~P5(f4(f7(a1)))+P5(f13(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[65,87,115,29,27])).
% 120.86/120.92 cnf(678,plain,
% 120.86/120.92 (P5(f8(f7(a1)))+~P2(f10(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[83,146,242,113,101,29,27,26,273,269,43])).
% 120.86/120.92 cnf(679,plain,
% 120.86/120.92 (P5(f8(f7(a1)))+~P2(f2(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[83,146,242,113,101,29,27,26,273,269,43,42])).
% 120.86/120.92 cnf(700,plain,
% 120.86/120.92 (~P5(f8(f6(a1)))+P5(f4(f11(a1)))),
% 120.86/120.92 inference(scs_inference,[],[85,146,201,115,101,28,27,29,26])).
% 120.86/120.92 cnf(743,plain,
% 120.86/120.92 (~P5(f8(f7(a1)))+P5(f5(f11(a1)))),
% 120.86/120.92 inference(scs_inference,[],[83,117,242,197,2,29,28,27,26])).
% 120.86/120.92 cnf(834,plain,
% 120.86/120.92 (P6(f4(f7(a1)))+~P6(f13(f6(a1)))),
% 120.86/120.92 inference(scs_inference,[],[87,113,101,26,28])).
% 120.86/120.92 cnf(852,plain,
% 120.86/120.92 (~P6(f8(f7(a1)))+P6(f5(f11(a1)))),
% 120.86/120.92 inference(scs_inference,[],[117,115,83,197,2,27,29,28])).
% 120.86/120.92 cnf(2144,plain,
% 120.86/120.92 (P4(f5(f6(a1)),f5(f3(f6(a1))))),
% 120.86/120.92 inference(scs_inference,[],[1,46,24])).
% 120.86/120.92 cnf(2155,plain,
% 120.86/120.92 (P4(f5(f7(a1)),f5(f11(f7(a1))))),
% 120.86/120.92 inference(scs_inference,[],[1,47,25])).
% 120.86/120.92 cnf(2162,plain,
% 120.86/120.92 (P4(f4(f6(a1)),f4(f3(f6(a1))))),
% 120.86/120.92 inference(scs_inference,[],[1,50,24])).
% 120.86/120.92 cnf(2167,plain,
% 120.86/120.92 (P4(f4(f7(a1)),f4(f11(f7(a1))))),
% 120.86/120.92 inference(scs_inference,[],[1,51,25])).
% 120.86/120.92 cnf(2172,plain,
% 120.86/120.92 (P4(f13(f6(a1)),f12(f2(f6(a1))))),
% 120.86/120.92 inference(scs_inference,[],[1,52,24])).
% 120.86/120.92 cnf(2177,plain,
% 120.86/120.92 (P4(f8(f7(a1)),f12(f3(f7(a1))))),
% 120.86/120.92 inference(scs_inference,[],[1,54,25])).
% 120.86/120.92 cnf(2278,plain,
% 120.86/120.92 (~P6(f13(f6(a1)))+~P5(f4(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[631,12])).
% 120.86/120.92 cnf(2298,plain,
% 120.86/120.92 (~P6(f8(f7(a1)))+~P2(f10(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[678,12])).
% 120.86/120.92 cnf(2301,plain,
% 120.86/120.92 (P5(f5(f11(a1)))+~P2(f2(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[679,743])).
% 120.86/120.92 cnf(2378,plain,
% 120.86/120.92 (~P6(f5(f11(a1)))+~P2(f2(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[2301,12])).
% 120.86/120.92 cnf(2406,plain,
% 120.86/120.92 (~P6(f8(f7(a1)))+~P2(f2(f7(a1)))),
% 120.86/120.92 inference(scs_inference,[],[2378,852])).
% 120.86/120.92 cnf(2418,plain,
% 120.86/120.92 (P4(f12(f3(f6(a1))),f5(f10(f6(a1))))),
% 120.86/120.92 inference(scs_inference,[],[1,59,24])).
% 120.86/120.92 cnf(2423,plain,
% 120.86/120.92 (P4(f12(f10(f7(a1))),f4(f2(f7(a1))))),
% 120.86/120.92 inference(scs_inference,[],[1,60,25])).
% 120.86/120.92 cnf(2430,plain,
% 120.86/120.92 (P4(f12(f11(f6(a1))),f5(f2(f6(a1))))),
% 120.86/120.92 inference(scs_inference,[],[1,61,24])).
% 120.86/120.92 cnf(2491,plain,
% 120.86/120.92 (~P4(f4(f6(a1)),f4(f11(f6(a1))))+P6(f12(f11(f6(a1))))),
% 120.86/120.92 inference(scs_inference,[],[152,435,28])).
% 120.86/120.92 cnf(24206,plain,
% 120.86/120.92 (P4(f5(f7(a1)),f5(f3(f7(a1))))),
% 120.86/120.92 inference(scs_inference,[],[69,46])).
% 120.86/120.92 cnf(24208,plain,
% 120.86/120.92 (P4(f5(f6(a1)),f5(f11(f6(a1))))),
% 120.86/120.92 inference(scs_inference,[],[71,69,46,47])).
% 120.86/120.92 cnf(24210,plain,
% 120.86/120.92 (P4(f4(f7(a1)),f4(f3(f7(a1))))),
% 120.86/120.92 inference(scs_inference,[],[71,69,46,47,50])).
% 120.86/120.92 cnf(24214,plain,
% 120.86/120.92 (P4(f13(f7(a1)),f12(f2(f7(a1))))),
% 120.86/120.92 inference(scs_inference,[],[71,69,46,47,50,51,52])).
% 120.86/120.92 cnf(24216,plain,
% 120.86/120.92 (P4(f8(f6(a1)),f12(f3(f6(a1))))),
% 120.86/120.92 inference(scs_inference,[],[71,69,46,47,50,51,52,54])).
% 120.86/120.92 cnf(24218,plain,
% 120.86/120.92 (P4(f12(f3(f7(a1))),f5(f10(f7(a1))))),
% 120.86/120.92 inference(scs_inference,[],[71,69,46,47,50,51,52,54,59])).
% 120.86/120.92 cnf(24220,plain,
% 120.86/120.92 (P4(f12(f10(f6(a1))),f4(f2(f6(a1))))),
% 120.86/120.92 inference(scs_inference,[],[71,69,46,47,50,51,52,54,59,60])).
% 120.86/120.92 cnf(24232,plain,
% 120.93/120.92 (P5(f12(f3(f6(a1))))),
% 120.93/120.92 inference(scs_inference,[],[246,271,101,71,69,150,242,2144,2155,46,47,50,51,52,54,59,60,61,28,27,26,29,32])).
% 120.93/120.92 cnf(24234,plain,
% 120.93/120.92 (~P6(f12(f3(f6(a1))))),
% 120.93/120.92 inference(scs_inference,[],[246,271,101,71,69,150,242,2144,2155,46,47,50,51,52,54,59,60,61,28,27,26,29,32,12])).
% 120.93/120.92 cnf(24238,plain,
% 120.93/120.92 (~P7(f3(f6(a1)))),
% 120.93/120.92 inference(scs_inference,[],[246,271,101,71,69,150,242,2144,2155,46,47,50,51,52,54,59,60,61,28,27,26,29,32,12,35,40])).
% 120.93/120.92 cnf(24240,plain,
% 120.93/120.92 (P6(f12(f11(f6(a1))))),
% 120.93/120.92 inference(scs_inference,[],[246,271,101,71,69,150,242,2144,2155,46,47,50,51,52,54,59,60,61,28,27,26,29,32,12,35,40,2491])).
% 120.93/120.92 cnf(24252,plain,
% 120.93/120.92 (~P5(f12(f11(f6(a1))))),
% 120.93/120.92 inference(scs_inference,[],[24240,12])).
% 120.93/120.92 cnf(24292,plain,
% 120.93/120.92 (~P3(f11(f6(a1)))+~P5(f5(f11(f6(a1))))),
% 120.93/120.92 inference(scs_inference,[],[8,24240,24238,24232,65,113,24252,26,28,18,34,32])).
% 120.93/120.92 cnf(33600,plain,
% 120.93/120.92 (~P5(f4(f11(f6(a1))))),
% 120.93/120.92 inference(scs_inference,[],[290,24252,24234,101,201,2162,24208,150,152,29,27,28,39,26,57])).
% 120.93/120.92 cnf(33602,plain,
% 120.93/120.92 (~P3(f11(f6(a1)))),
% 120.93/120.92 inference(scs_inference,[],[290,24252,24234,101,201,2162,24208,150,152,29,27,28,39,26,57,24292])).
% 120.93/120.92 cnf(33607,plain,
% 120.93/120.92 (~P5(f5(f2(f6(a1))))),
% 120.93/120.92 inference(scs_inference,[],[24252,2430,27])).
% 120.93/120.92 cnf(33609,plain,
% 120.93/120.92 (~P6(f5(f10(f6(a1))))),
% 120.93/120.92 inference(scs_inference,[],[24252,24234,2418,2430,27,29])).
% 120.93/120.92 cnf(33611,plain,
% 120.93/120.92 (P6(f5(f2(f6(a1))))),
% 120.93/120.92 inference(scs_inference,[],[24240,24252,24234,2418,2430,27,29,28])).
% 120.93/120.92 cnf(33617,plain,
% 120.93/120.92 (~P5(f12(f10(f6(a1))))),
% 120.93/120.92 inference(scs_inference,[],[11,33600,33602,24232,24240,24252,24234,2418,2430,27,29,28,16,26,492])).
% 120.93/120.92 cnf(33619,plain,
% 120.93/120.92 (~P7(f2(f6(a1)))+P5(f4(f2(f6(a1))))),
% 120.93/120.92 inference(scs_inference,[],[11,33600,33602,24232,24240,24252,24234,2418,2430,27,29,28,16,26,492,454,34])).
% 120.93/120.92 cnf(33623,plain,
% 120.93/120.92 (~P6(f4(f2(f6(a1))))+P6(f12(f2(f6(a1))))),
% 120.93/120.92 inference(scs_inference,[],[33611,470])).
% 120.93/120.92 cnf(33624,plain,
% 120.93/120.92 (~P5(f5(f10(f6(a1))))+~P3(f10(f6(a1)))),
% 120.93/120.92 inference(scs_inference,[],[33609,496])).
% 120.93/120.92 cnf(33627,plain,
% 120.93/120.92 (~P5(f5(f3(f7(a1))))),
% 120.93/120.92 inference(scs_inference,[],[271,24206,27])).
% 120.93/120.92 cnf(33629,plain,
% 120.93/120.92 (P6(f5(f3(f7(a1))))),
% 120.93/120.92 inference(scs_inference,[],[271,24206,242,27,28])).
% 120.93/120.92 cnf(33633,plain,
% 120.93/120.92 (P5(f5(f10(f6(a1))))),
% 120.93/120.92 inference(scs_inference,[],[11,33602,24232,271,24206,2418,242,27,28,16,26])).
% 120.93/120.93 cnf(33635,plain,
% 120.93/120.93 (P6(f12(f10(f6(a1))))),
% 120.93/120.93 inference(scs_inference,[],[11,33602,24232,271,24206,2418,242,27,28,16,26,604])).
% 120.93/120.93 cnf(33636,plain,
% 120.93/120.93 (~P3(f10(f6(a1)))),
% 120.93/120.93 inference(scs_inference,[],[11,33602,24232,271,24206,2418,242,27,28,16,26,604,33624])).
% 120.93/120.93 cnf(33639,plain,
% 120.93/120.93 (~P5(f12(f3(f7(a1))))+P5(f4(f3(f7(a1))))),
% 120.93/120.93 inference(scs_inference,[],[11,33602,24232,271,2167,24206,2418,242,27,28,16,26,604,33624,29,221])).
% 120.93/120.93 cnf(33646,plain,
% 120.93/120.93 (P6(f12(f2(f7(a1))))),
% 120.93/120.93 inference(scs_inference,[],[117,24214,115,27,28])).
% 120.93/120.93 cnf(33661,plain,
% 120.93/120.93 (P5(f8(f6(a1)))),
% 120.93/120.93 inference(scs_inference,[],[24232,24234,24216,28,27])).
% 120.93/120.93 cnf(33673,plain,
% 120.93/120.93 (P5(f4(f11(a1)))),
% 120.93/120.93 inference(scs_inference,[],[33661,700])).
% 120.93/120.93 cnf(33682,plain,
% 120.93/120.93 (~P5(f12(f2(f6(a1))))),
% 120.93/120.93 inference(scs_inference,[],[11,233,33635,33600,33617,33602,33633,33607,24220,27,28,16,26,44])).
% 120.93/120.93 cnf(33690,plain,
% 120.93/120.93 (P6(f13(f6(a1)))),
% 120.93/120.93 inference(scs_inference,[],[11,233,33635,33600,33617,33602,33633,33607,2172,24220,33646,27,28,16,26,44,39,33619,33623,41,29])).
% 120.93/120.93 cnf(33692,plain,
% 120.93/120.93 (P6(f4(f7(a1)))),
% 120.93/120.93 inference(scs_inference,[],[33690,834])).
% 120.93/120.93 cnf(33694,plain,
% 120.93/120.93 (~P5(f4(f7(a1)))),
% 120.93/120.93 inference(scs_inference,[],[33690,2278])).
% 120.93/120.93 cnf(33702,plain,
% 120.93/120.93 (~P6(f12(f3(f7(a1))))+P6(f8(f7(a1)))),
% 120.93/120.93 inference(scs_inference,[],[10,33682,33636,2177,2172,16,26,29])).
% 120.93/120.93 cnf(33723,plain,
% 120.93/120.93 (~P5(f12(f3(f7(a1))))),
% 120.93/120.93 inference(scs_inference,[],[11,33682,33602,24232,33694,24210,33692,28,27,16,26,33639])).
% 120.93/120.93 cnf(33726,plain,
% 120.93/120.93 (P6(f12(f3(f7(a1))))),
% 120.93/120.93 inference(scs_inference,[],[11,125,33682,33602,24232,33694,2423,24210,33629,33692,28,27,16,26,33639,29,58])).
% 120.93/120.93 cnf(33731,plain,
% 120.93/120.93 (P6(f8(f7(a1)))),
% 120.93/120.93 inference(scs_inference,[],[33726,33702])).
% 120.93/120.93 cnf(33736,plain,
% 120.93/120.93 (P6(f5(f10(f7(a1))))),
% 120.93/120.93 inference(scs_inference,[],[33723,33726,33627,24218,31,27,28])).
% 120.93/120.93 cnf(33750,plain,
% 120.93/120.93 (~P2(f10(f7(a1)))),
% 120.93/120.93 inference(scs_inference,[],[33731,2298])).
% 120.93/120.93 cnf(33751,plain,
% 120.93/120.93 (~P2(f2(f7(a1)))),
% 120.93/120.93 inference(scs_inference,[],[33731,2406])).
% 120.93/120.93 cnf(33769,plain,
% 120.93/120.93 (P7(f10(f7(a1)))),
% 120.93/120.93 inference(scs_inference,[],[33750,123])).
% 120.93/120.93 cnf(33775,plain,
% 120.93/120.93 (P3(f2(f7(a1)))),
% 120.93/120.93 inference(scs_inference,[],[33751,494])).
% 120.93/120.93 cnf(33793,plain,
% 120.93/120.93 (~P7(f10(f7(a1)))+P5(f12(f10(f7(a1))))),
% 120.93/120.93 inference(scs_inference,[],[10,33682,33636,24232,33736,16,26,34])).
% 120.93/120.93 cnf(33821,plain,
% 120.93/120.93 ($false),
% 120.93/120.93 inference(scs_inference,[],[11,33769,33775,33617,33602,33673,2423,33646,33793,12,29,16,26,36,41]),
% 120.93/120.93 ['proof']).
% 120.98/120.96 % SZS output end Proof
% 120.98/120.96 % Total time :120.250000s
%------------------------------------------------------------------------------