TSTP Solution File: HWV007-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : HWV007-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n015.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 01:58:26 EDT 2023
% Result : Unsatisfiable 120.75s 120.82s
% Output : CNFRefutation 120.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HWV007-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n015.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 : Tue Aug 29 14:39:56 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 120.75/120.80 %-------------------------------------------
% 120.75/120.80 % File :CSE---1.6
% 120.75/120.80 % Problem :theBenchmark
% 120.75/120.80 % Transform :cnf
% 120.75/120.80 % Format :tptp:raw
% 120.75/120.80 % Command :java -jar mcs_scs.jar %d %s
% 120.75/120.80
% 120.75/120.80 % Result :Theorem 120.160000s
% 120.75/120.80 % Output :CNFRefutation 120.160000s
% 120.75/120.80 %-------------------------------------------
% 120.75/120.81 %--------------------------------------------------------------------------
% 120.75/120.81 % File : HWV007-1 : TPTP v8.1.2. Released v2.1.0.
% 120.75/120.81 % Domain : Hardware Verification
% 120.75/120.81 % Problem : A fulladder built from two halfadders and an or gate
% 120.75/120.81 % Version : [Gei96] axioms.
% 120.75/120.81 % English :
% 120.75/120.81
% 120.75/120.81 % Refs : [Gei96] Geisler (1996), Email to G. Sutcliffe
% 120.75/120.82 % Source : [Gei96]
% 120.75/120.82 % Names :
% 120.75/120.82
% 120.75/120.82 % Status : Unsatisfiable
% 120.75/120.82 % Rating : 0.14 v8.1.0, 0.00 v7.0.0, 0.25 v6.4.0, 0.12 v6.3.0, 0.29 v6.2.0, 0.11 v6.1.0, 0.00 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.14 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.20 v2.4.0, 0.00 v2.2.1, 0.33 v2.1.0
% 120.75/120.82 % Syntax : Number of clauses : 56 ( 9 unt; 3 nHn; 56 RR)
% 120.75/120.82 % Number of literals : 139 ( 0 equ; 88 neg)
% 120.75/120.82 % Maximal clause size : 5 ( 2 avg)
% 120.75/120.82 % Maximal term depth : 3 ( 1 avg)
% 120.75/120.82 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 120.75/120.82 % Number of functors : 21 ( 21 usr; 13 con; 0-2 aty)
% 120.75/120.82 % Number of variables : 52 ( 3 sgn)
% 120.75/120.82 % SPC : CNF_UNS_RFO_NEQ_NHN
% 120.75/120.82
% 120.75/120.82 % Comments :
% 120.75/120.82 %--------------------------------------------------------------------------
% 120.75/120.82 %----Include basic diagnosis axioms
% 120.75/120.82 include('Axioms/HWV001-0.ax').
% 120.75/120.82 %----Include model of halfadder
% 120.75/120.82 include('Axioms/HWV001-1.ax').
% 120.75/120.82 %----Include model of fulladder
% 120.75/120.82 include('Axioms/HWV001-2.ax').
% 120.75/120.82 %--------------------------------------------------------------------------
% 120.75/120.82 %----Observations
% 120.75/120.82 cnf(f_isa_fulladder,hypothesis,
% 120.75/120.82 type(f,fulladder) ).
% 120.75/120.82
% 120.75/120.82 cnf(in1_1,hypothesis,
% 120.75/120.82 value(in(n1,f),n0) ).
% 120.75/120.82
% 120.75/120.82 cnf(in2_0,hypothesis,
% 120.75/120.82 value(in(n2,f),n1) ).
% 120.75/120.82
% 120.75/120.82 cnf(inc_1,hypothesis,
% 120.75/120.82 value(in(c,f),n1) ).
% 120.75/120.82
% 120.75/120.82 cnf(outs_1,hypothesis,
% 120.75/120.82 value(out(s,f),n1) ).
% 120.75/120.82
% 120.75/120.82 cnf(outc_0,hypothesis,
% 120.75/120.82 value(out(c,f),n0) ).
% 120.75/120.82
% 120.75/120.82 %----Minimal diagnosis
% 120.75/120.82 cnf(diagnosis_and2h1,negated_conjecture,
% 120.75/120.82 ~ mode(and2(h1(f)),abnormal) ).
% 120.75/120.82
% 120.75/120.82 cnf(diagnosis_or1_and1h1,negated_conjecture,
% 120.75/120.82 ( ~ mode(or1(f),abnormal)
% 120.75/120.82 | ~ mode(and1(h1(f)),abnormal) ) ).
% 120.75/120.82
% 120.75/120.82 cnf(diagnosis_or1_not1h1,negated_conjecture,
% 120.75/120.82 ( ~ mode(or1(f),abnormal)
% 120.75/120.82 | ~ mode(not1(h1(f)),abnormal) ) ).
% 120.75/120.82
% 120.75/120.82 cnf(diagnosis_or1_and1h2,negated_conjecture,
% 120.75/120.82 ( ~ mode(or1(f),abnormal)
% 120.75/120.82 | ~ mode(and1(h2(f)),abnormal) ) ).
% 120.75/120.82
% 120.75/120.82 cnf(diagnosis_or1_or1h2,negated_conjecture,
% 120.75/120.82 ( ~ mode(or1(f),abnormal)
% 120.75/120.82 | ~ mode(or1(h2(f)),abnormal) ) ).
% 120.75/120.82
% 120.75/120.82 %--------------------------------------------------------------------------
% 120.75/120.82 %-------------------------------------------
% 120.75/120.82 % Proof found
% 120.75/120.82 % SZS status Theorem for theBenchmark
% 120.75/120.82 % SZS output start Proof
% 120.75/120.82 %ClaNum:56(EqnAxiom:0)
% 120.75/120.82 %VarNum:151(SingletonVarNum:52)
% 120.75/120.82 %MaxLitNum:5
% 120.75/120.82 %MaxfuncDepth:2
% 120.75/120.82 %SharedTerms:40
% 120.75/120.82 %goalClause: 9 22 23 24 25
% 120.75/120.82 %singleGoalClaCount:1
% 120.75/120.82 [1]P1(a1,a7)
% 120.75/120.82 [7]~P2(a13,a8)
% 120.75/120.82 [8]~P2(a8,a13)
% 120.75/120.82 [2]P5(f9(a8,a1),a13)
% 120.75/120.82 [3]P5(f9(a14,a1),a8)
% 120.75/120.82 [4]P5(f9(a2,a1),a8)
% 120.75/120.82 [5]P5(f16(a15,a1),a8)
% 120.75/120.82 [6]P5(f16(a2,a1),a13)
% 120.75/120.82 [9]~P4(f3(f10(a1)),a4)
% 120.75/120.82 [22]~P4(f19(a1),a4)+~P4(f5(f10(a1)),a4)
% 120.75/120.82 [23]~P4(f19(a1),a4)+~P4(f5(f12(a1)),a4)
% 120.75/120.82 [24]~P4(f19(a1),a4)+~P4(f17(f10(a1)),a4)
% 120.75/120.82 [25]~P4(f19(a1),a4)+~P4(f19(f12(a1)),a4)
% 120.75/120.82 [17]~P4(x171,a4)+~P4(x171,a21)
% 120.75/120.82 [10]~P1(x101,a11)+P1(f5(x101),a6)
% 120.75/120.82 [11]~P1(x111,a11)+P1(f3(x111),a6)
% 120.75/120.82 [12]~P1(x121,a11)+P1(f17(x121),a18)
% 120.75/120.82 [13]~P1(x131,a11)+P1(f19(x131),a20)
% 120.75/120.82 [14]~P1(x141,a7)+P1(f19(x141),a20)
% 120.75/120.82 [15]~P1(x151,a7)+P1(f10(x151),a11)
% 120.75/120.82 [16]~P1(x161,a7)+P1(f12(x161),a11)
% 120.75/120.82 [26]~P1(x261,a11)+P3(f9(a8,x261),f9(a8,f3(x261)))
% 120.75/120.82 [27]~P1(x271,a11)+P3(f9(a8,x271),f9(a8,f19(x271)))
% 120.75/120.82 [28]~P1(x281,a7)+P3(f9(a8,x281),f9(a8,f12(x281)))
% 120.75/120.82 [29]~P1(x291,a7)+P3(f9(a14,x291),f9(a8,f10(x291)))
% 120.75/120.82 [30]~P1(x301,a11)+P3(f9(a14,x301),f9(a14,f3(x301)))
% 120.75/120.82 [31]~P1(x311,a11)+P3(f9(a14,x311),f9(a14,f19(x311)))
% 120.75/120.82 [32]~P1(x321,a7)+P3(f9(a2,x321),f9(a14,f10(x321)))
% 120.75/120.82 [33]~P1(x331,a11)+P3(f16(a15,x331),f16(a8,f5(x331)))
% 120.75/120.82 [34]~P1(x341,a7)+P3(f16(a15,x341),f16(a15,f12(x341)))
% 120.75/120.82 [35]~P1(x351,a11)+P3(f16(a2,x351),f16(a8,f3(x351)))
% 120.75/120.82 [36]~P1(x361,a7)+P3(f16(a2,x361),f16(a8,f19(x361)))
% 120.75/120.82 [37]~P1(x371,a11)+P3(f16(a8,f3(x371)),f9(a8,f17(x371)))
% 120.75/120.82 [38]~P1(x381,a11)+P3(f16(a8,f17(x381)),f9(a14,f5(x381)))
% 120.75/120.82 [39]~P1(x391,a11)+P3(f16(a8,f19(x391)),f9(a8,f5(x391)))
% 120.75/120.82 [40]~P1(x401,a7)+P3(f16(a15,f10(x401)),f9(a14,f12(x401)))
% 120.75/120.82 [41]~P1(x411,a7)+P3(f16(a2,f10(x411)),f9(a14,f19(x411)))
% 120.75/120.82 [42]~P1(x421,a7)+P3(f16(a2,f12(x421)),f9(a8,f19(x421)))
% 120.75/120.82 [18]~P1(x181,x182)+P4(x181,a4)+P4(x181,a21)
% 120.75/120.82 [19]~P5(x193,x192)+P5(x191,x192)+~P3(x193,x191)
% 120.75/120.82 [20]~P5(x203,x202)+P5(x201,x202)+~P3(x201,x203)
% 120.75/120.82 [21]~P5(x213,x211)+P2(x211,x212)+~P5(x213,x212)
% 120.75/120.82 [43]~P4(x431,a21)+~P1(x431,a20)+~P5(f16(a8,x431),a13)+P5(f9(a8,x431),a13)
% 120.75/120.82 [44]~P4(x441,a21)+~P1(x441,a18)+~P5(f16(a8,x441),a8)+P5(f9(a8,x441),a13)
% 120.75/120.82 [45]~P4(x451,a21)+~P1(x451,a6)+~P5(f16(a8,x451),a8)+P5(f9(a8,x451),a8)
% 120.75/120.82 [46]~P4(x461,a21)+~P1(x461,a18)+~P5(f16(a8,x461),a13)+P5(f9(a8,x461),a8)
% 120.75/120.82 [47]~P4(x471,a21)+~P1(x471,a20)+~P5(f16(a8,x471),a13)+P5(f9(a14,x471),a13)
% 120.75/120.82 [48]~P4(x481,a21)+~P1(x481,a6)+~P5(f16(a8,x481),a8)+P5(f9(a14,x481),a8)
% 120.75/120.83 [49]~P4(x491,a21)+~P1(x491,a18)+~P5(f9(a8,x491),a8)+P5(f16(a8,x491),a13)
% 120.75/120.83 [50]~P4(x501,a21)+~P1(x501,a18)+~P5(f9(a8,x501),a13)+P5(f16(a8,x501),a8)
% 120.75/120.83 [51]~P4(x511,a21)+~P1(x511,a6)+~P5(f9(x512,x511),a13)+P5(f16(a8,x511),a13)
% 120.75/120.83 [52]~P4(x521,a21)+~P1(x521,a20)+~P5(f9(x522,x521),a8)+P5(f16(a8,x521),a8)
% 120.75/120.83 [53]~P4(x531,a21)+~P1(x531,a6)+P5(f9(a14,x531),a13)+~P5(f16(a8,x531),a13)+P5(f9(a8,x531),a13)
% 120.75/120.83 [54]~P4(x541,a21)+~P1(x541,a20)+P5(f9(a14,x541),a8)+~P5(f16(a8,x541),a8)+P5(f9(a8,x541),a8)
% 120.75/120.83 [55]~P4(x551,a21)+~P1(x551,a20)+~P5(f9(a8,x551),a13)+~P5(f9(a14,x551),a13)+P5(f16(a8,x551),a13)
% 120.75/120.83 [56]~P4(x561,a21)+~P1(x561,a6)+~P5(f9(a8,x561),a8)+~P5(f9(a14,x561),a8)+P5(f16(a8,x561),a8)
% 120.75/120.83 %EqnAxiom
% 120.75/120.83
% 120.75/120.83 %-------------------------------------------
% 120.75/120.87 cnf(58,plain,
% 120.75/120.87 (P1(f12(a1),a11)),
% 120.75/120.87 inference(scs_inference,[],[1,2,21,16])).
% 120.75/120.87 cnf(59,plain,
% 120.75/120.87 (P1(f10(a1),a11)),
% 120.75/120.87 inference(scs_inference,[],[1,2,21,16,15])).
% 120.75/120.87 cnf(61,plain,
% 120.75/120.87 (P1(f19(a1),a20)),
% 120.75/120.87 inference(scs_inference,[],[1,2,21,16,15,14])).
% 120.75/120.87 cnf(63,plain,
% 120.75/120.87 (P1(f19(f12(a1)),a20)),
% 120.75/120.87 inference(scs_inference,[],[1,2,21,16,15,14,13])).
% 120.75/120.87 cnf(65,plain,
% 120.75/120.87 (P1(f17(f12(a1)),a18)),
% 120.75/120.87 inference(scs_inference,[],[1,2,21,16,15,14,13,12])).
% 120.75/120.87 cnf(69,plain,
% 120.75/120.87 (P1(f5(f12(a1)),a6)),
% 120.75/120.87 inference(scs_inference,[],[1,2,21,16,15,14,13,12,11,10])).
% 120.75/120.87 cnf(71,plain,
% 120.75/120.87 (P3(f16(a2,f12(a1)),f9(a8,f19(a1)))),
% 120.75/120.87 inference(scs_inference,[],[1,2,21,16,15,14,13,12,11,10,42])).
% 120.75/120.87 cnf(73,plain,
% 120.75/120.87 (P3(f16(a2,f10(a1)),f9(a14,f19(a1)))),
% 120.75/120.87 inference(scs_inference,[],[1,2,21,16,15,14,13,12,11,10,42,41])).
% 120.75/120.87 cnf(75,plain,
% 120.75/120.87 (P3(f16(a15,f10(a1)),f9(a14,f12(a1)))),
% 120.75/120.87 inference(scs_inference,[],[1,2,21,16,15,14,13,12,11,10,42,41,40])).
% 120.75/120.87 cnf(77,plain,
% 120.75/120.87 (P3(f16(a2,a1),f16(a8,f19(a1)))),
% 120.75/120.87 inference(scs_inference,[],[1,2,21,16,15,14,13,12,11,10,42,41,40,36])).
% 120.75/120.87 cnf(79,plain,
% 120.75/120.87 (P3(f16(a15,a1),f16(a15,f12(a1)))),
% 120.75/120.87 inference(scs_inference,[],[1,2,21,16,15,14,13,12,11,10,42,41,40,36,34])).
% 120.75/120.87 cnf(81,plain,
% 120.75/120.87 (P3(f9(a2,a1),f9(a14,f10(a1)))),
% 120.75/120.87 inference(scs_inference,[],[1,2,21,16,15,14,13,12,11,10,42,41,40,36,34,32])).
% 120.75/120.87 cnf(83,plain,
% 120.75/120.87 (P3(f9(a14,a1),f9(a8,f10(a1)))),
% 120.75/120.87 inference(scs_inference,[],[1,2,21,16,15,14,13,12,11,10,42,41,40,36,34,32,29])).
% 120.75/120.87 cnf(85,plain,
% 120.75/120.87 (P3(f9(a8,a1),f9(a8,f12(a1)))),
% 120.75/120.87 inference(scs_inference,[],[1,2,21,16,15,14,13,12,11,10,42,41,40,36,34,32,29,28])).
% 120.75/120.87 cnf(89,plain,
% 120.75/120.87 (P5(f9(a8,f12(a1)),a13)),
% 120.75/120.87 inference(scs_inference,[],[1,2,21,16,15,14,13,12,11,10,42,41,40,36,34,32,29,28,20,19])).
% 120.75/120.87 cnf(101,plain,
% 120.75/120.87 (~P5(f9(a14,a1),a13)),
% 120.75/120.87 inference(scs_inference,[],[8,3,21])).
% 120.75/120.87 cnf(103,plain,
% 120.75/120.87 (~P5(f16(a8,f19(a1)),x1031)+P5(f16(a2,a1),x1031)),
% 120.75/120.87 inference(scs_inference,[],[8,3,77,21,20])).
% 120.75/120.87 cnf(105,plain,
% 120.75/120.87 (P5(f16(a8,f19(a1)),a13)),
% 120.75/120.87 inference(scs_inference,[],[8,3,6,77,21,20,19])).
% 120.75/120.87 cnf(107,plain,
% 120.75/120.87 (~P4(f19(a1),a21)+P5(f9(a14,f19(a1)),a13)),
% 120.75/120.87 inference(scs_inference,[],[8,3,6,77,61,21,20,19,47])).
% 120.75/120.87 cnf(111,plain,
% 120.75/120.87 (~P4(f19(a1),a21)+P5(f9(a8,f19(a1)),a13)),
% 120.75/120.87 inference(scs_inference,[],[8,3,6,77,61,21,20,19,47,46,43])).
% 120.75/120.87 cnf(123,plain,
% 120.75/120.87 (~P5(f9(a2,a1),a13)),
% 120.75/120.87 inference(scs_inference,[],[7,4,6,101,19,20,21])).
% 120.75/120.87 cnf(133,plain,
% 120.75/120.87 (P5(f16(a15,f12(a1)),a8)),
% 120.75/120.87 inference(scs_inference,[],[5,79,19])).
% 120.75/120.87 cnf(148,plain,
% 120.75/120.87 (~P5(f9(a14,f10(a1)),a13)),
% 120.75/120.87 inference(scs_inference,[],[81,123,20])).
% 120.75/120.87 cnf(150,plain,
% 120.75/120.87 (P5(f9(a8,f10(a1)),a8)),
% 120.75/120.87 inference(scs_inference,[],[3,81,83,123,20,19])).
% 120.75/120.87 cnf(152,plain,
% 120.75/120.87 (~P5(f9(a8,a1),a8)),
% 120.75/120.87 inference(scs_inference,[],[2,7,3,81,83,123,20,19,21])).
% 120.75/120.87 cnf(154,plain,
% 120.75/120.87 (P1(f19(f10(a1)),a20)),
% 120.75/120.87 inference(scs_inference,[],[2,59,7,3,81,83,123,20,19,21,13])).
% 120.75/120.87 cnf(156,plain,
% 120.75/120.87 (P1(f17(f10(a1)),a18)),
% 120.75/120.87 inference(scs_inference,[],[2,59,7,3,81,83,123,20,19,21,13,12])).
% 120.75/120.87 cnf(158,plain,
% 120.75/120.87 (P1(f5(f10(a1)),a6)),
% 120.75/120.87 inference(scs_inference,[],[2,59,7,3,81,83,123,20,19,21,13,12,10])).
% 120.75/120.87 cnf(160,plain,
% 120.75/120.87 (P1(f3(f10(a1)),a6)),
% 120.75/120.87 inference(scs_inference,[],[2,59,7,3,81,83,123,20,19,21,13,12,10,11])).
% 120.75/120.87 cnf(162,plain,
% 120.75/120.87 (P4(f3(f10(a1)),a21)),
% 120.75/120.87 inference(scs_inference,[],[2,59,7,3,81,83,123,9,20,19,21,13,12,10,11,18])).
% 120.75/120.87 cnf(170,plain,
% 120.75/120.87 (P5(f9(a8,f3(f10(a1))),a13)+P5(f9(a14,f3(f10(a1))),a13)+~P5(f16(a8,f3(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[2,59,7,3,81,83,65,69,123,9,20,19,21,13,12,10,11,18,48,45,44,53])).
% 120.75/120.87 cnf(186,plain,
% 120.75/120.87 (~P5(f16(a2,a1),a8)),
% 120.75/120.87 inference(scs_inference,[],[8,6,21])).
% 120.75/120.87 cnf(190,plain,
% 120.75/120.87 (P5(f9(a14,f10(a1)),a8)),
% 120.75/120.87 inference(scs_inference,[],[3,8,4,6,81,152,21,20,19])).
% 120.75/120.87 cnf(192,plain,
% 120.75/120.87 (P5(f9(a14,f3(f10(a1))),a8)+~P5(f16(a8,f3(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[3,8,4,6,160,81,162,152,21,20,19,48])).
% 120.75/120.87 cnf(194,plain,
% 120.75/120.87 (~P5(f16(a8,f19(a1)),a8)),
% 120.75/120.87 inference(scs_inference,[],[3,8,4,6,160,81,162,152,21,20,19,48,103])).
% 120.75/120.87 cnf(204,plain,
% 120.75/120.87 (~P5(f16(a8,f3(f10(a1))),a8)+P5(f9(a8,f3(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[3,8,4,6,150,154,156,160,81,162,89,152,21,20,19,48,103,50,49,47,46,45])).
% 120.75/120.87 cnf(209,plain,
% 120.75/120.87 (~P5(f9(a8,f12(a1)),a8)),
% 120.75/120.87 inference(scs_inference,[],[3,85,152,21,20])).
% 120.75/120.87 cnf(229,plain,
% 120.75/120.87 (~P5(f16(a15,a1),a13)),
% 120.75/120.87 inference(scs_inference,[],[8,5,21])).
% 120.75/120.87 cnf(233,plain,
% 120.75/120.87 (P4(f19(f12(a1)),a21)+P4(f19(f12(a1)),a4)),
% 120.75/120.87 inference(scs_inference,[],[4,63,8,5,209,21,20,18])).
% 120.75/120.87 cnf(249,plain,
% 120.75/120.87 (~P5(f16(a2,f10(a1)),x2491)+P5(f9(a14,f19(a1)),x2491)),
% 120.75/120.87 inference(scs_inference,[],[4,73,186,20,19])).
% 120.75/120.87 cnf(261,plain,
% 120.75/120.87 (~P5(f16(a15,f12(a1)),a13)),
% 120.75/120.87 inference(scs_inference,[],[5,229,209,79,19,20])).
% 120.75/120.87 cnf(265,plain,
% 120.75/120.87 (P5(f16(a8,f3(f10(a1))),a8)+~P5(f9(a8,f3(f10(a1))),a8)+~P5(f9(a14,f3(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[5,229,209,148,79,160,162,19,20,47,56])).
% 120.75/120.87 cnf(288,plain,
% 120.75/120.87 (P4(f5(f10(a1)),a4)+P5(f9(a14,f5(f10(a1))),a8)+~P5(f16(a8,f5(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[65,6,261,158,229,89,162,19,20,48,50,49,46,18])).
% 120.75/120.87 cnf(292,plain,
% 120.75/120.87 (~P5(f9(a8,f10(a1)),a13)),
% 120.75/120.87 inference(scs_inference,[],[8,150,21])).
% 120.75/120.87 cnf(327,plain,
% 120.75/120.87 (~P5(f9(x3271,f3(f10(a1))),a13)+P5(f16(a8,f3(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[105,123,160,162,19,51])).
% 120.75/120.87 cnf(329,plain,
% 120.75/120.87 (~P5(f16(a8,f3(f10(a1))),a13)+P5(f9(a8,f3(f10(a1))),a13)+P5(f16(a8,f3(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[105,123,160,162,19,51,170])).
% 120.75/120.87 cnf(377,plain,
% 120.75/120.87 (~P5(f9(a14,f19(a1)),x3771)+P5(f16(a2,f10(a1)),x3771)),
% 120.75/120.87 inference(scs_inference,[],[73,20])).
% 120.75/120.87 cnf(381,plain,
% 120.75/120.87 (P5(f16(a2,f10(a1)),a13)+~P4(f19(a1),a21)),
% 120.75/120.87 inference(scs_inference,[],[73,20,249,107])).
% 120.75/120.87 cnf(401,plain,
% 120.75/120.87 (~P4(f5(f12(a1)),a21)+~P5(f9(x4011,f5(f12(a1))),a13)+P5(f16(a8,f5(f12(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[69,63,186,133,194,190,20,43,52,50,51])).
% 120.75/120.87 cnf(403,plain,
% 120.75/120.87 (~P4(f17(f10(a1)),a21)+P5(f16(a8,f17(f10(a1))),a13)+~P5(f9(a8,f17(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[69,63,186,156,133,194,190,20,43,52,50,51,49])).
% 120.75/120.87 cnf(464,plain,
% 120.75/120.87 (~P5(f9(a14,f12(a1)),x4641)+P5(f16(a15,f10(a1)),x4641)),
% 120.75/120.87 inference(scs_inference,[],[75,20])).
% 120.75/120.87 cnf(543,plain,
% 120.75/120.87 (~P4(f17(f10(a1)),a21)+~P5(f16(a8,f17(f10(a1))),a8)+P5(f9(a8,f17(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[71,156,89,20,55,44])).
% 120.75/120.87 cnf(626,plain,
% 120.75/120.87 (P4(f19(a1),a21)+P4(f19(a1),a4)),
% 120.75/120.87 inference(scs_inference,[],[61,18])).
% 120.75/120.87 cnf(645,plain,
% 120.75/120.87 (P5(f16(a2,f10(a1)),a13)+P4(f19(a1),a4)),
% 120.75/120.87 inference(scs_inference,[],[105,61,73,194,148,190,150,292,18,52,19,111,17,53,47,56,49,50,20])).
% 120.75/120.87 cnf(706,plain,
% 120.75/120.87 (P4(f5(f12(a1)),a21)+P4(f5(f12(a1)),a4)),
% 120.75/120.87 inference(scs_inference,[],[69,18])).
% 120.75/120.87 cnf(751,plain,
% 120.75/120.87 (P4(f17(f10(a1)),a21)+P4(f17(f10(a1)),a4)),
% 120.75/120.87 inference(scs_inference,[],[101,156,2,20,18])).
% 120.75/120.87 cnf(822,plain,
% 120.75/120.87 (P4(f5(f10(a1)),a21)+P4(f5(f10(a1)),a4)),
% 120.75/120.87 inference(scs_inference,[],[158,89,55,18])).
% 120.75/120.87 cnf(1037,plain,
% 120.75/120.87 (P4(f19(a1),a21)+~P4(f5(f10(a1)),a4)),
% 120.75/120.87 inference(scs_inference,[],[626,22])).
% 120.75/120.87 cnf(1183,plain,
% 120.75/120.87 (P4(f19(f12(a1)),a21)+~P4(f19(f12(a1)),a21)),
% 120.75/120.87 inference(scs_inference,[],[233,17])).
% 120.75/120.87 cnf(1258,plain,
% 120.75/120.87 (P4(f17(f10(a1)),a21)+~P4(f19(a1),a4)),
% 120.75/120.87 inference(scs_inference,[],[751,24])).
% 120.75/120.87 cnf(1272,plain,
% 120.75/120.87 (P4(f5(f10(a1)),a21)+P4(f19(a1),a21)),
% 120.75/120.87 inference(scs_inference,[],[822,1037])).
% 120.75/120.87 cnf(1344,plain,
% 120.75/120.87 (P3(f9(a8,f10(a1)),f9(a8,f3(f10(a1))))),
% 120.75/120.87 inference(scs_inference,[],[1,26,15])).
% 120.75/120.87 cnf(1349,plain,
% 120.75/120.87 (P3(f9(a8,f12(a1)),f9(a8,f19(f12(a1))))),
% 120.75/120.87 inference(scs_inference,[],[1,27,16])).
% 120.75/120.87 cnf(1354,plain,
% 120.75/120.87 (P3(f9(a14,f10(a1)),f9(a14,f3(f10(a1))))),
% 120.75/120.87 inference(scs_inference,[],[1,30,15])).
% 120.75/120.87 cnf(1361,plain,
% 120.75/120.87 (P3(f9(a14,f12(a1)),f9(a14,f19(f12(a1))))),
% 120.75/120.87 inference(scs_inference,[],[1,31,16])).
% 120.75/120.87 cnf(1375,plain,
% 120.75/120.87 (P3(f16(a15,f10(a1)),f16(a8,f5(f10(a1))))),
% 120.75/120.87 inference(scs_inference,[],[1,33,15])).
% 120.75/120.87 cnf(1590,plain,
% 120.75/120.87 (P3(f16(a8,f3(f10(a1))),f9(a8,f17(f10(a1))))),
% 120.75/120.87 inference(scs_inference,[],[1,37,15])).
% 120.75/120.87 cnf(1648,plain,
% 120.75/120.87 (~P5(f16(a8,f3(f10(a1))),a8)+~P5(f9(x16481,f3(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[7,327,21])).
% 120.75/120.87 cnf(1980,plain,
% 120.75/120.87 (~P5(f16(a8,f5(f10(a1))),a8)+P5(f9(a14,f5(f10(a1))),a8)+~P4(f19(a1),a4)),
% 120.75/120.87 inference(scs_inference,[],[288,22])).
% 120.75/120.87 cnf(2042,plain,
% 120.75/120.87 (P4(f5(f12(a1)),a4)+P5(f16(a8,f5(f12(a1))),a13)+~P5(f9(x20421,f5(f12(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[401,706])).
% 120.75/120.87 cnf(2123,plain,
% 120.75/120.87 (P5(f16(a8,f17(f10(a1))),a13)+~P5(f9(a8,f17(f10(a1))),a8)+P4(f17(f10(a1)),a4)),
% 120.75/120.87 inference(scs_inference,[],[403,751])).
% 120.75/120.87 cnf(2140,plain,
% 120.75/120.87 (~P5(f16(a8,f17(f10(a1))),a8)+P5(f9(a8,f17(f10(a1))),a13)+~P4(f19(a1),a4)),
% 120.75/120.87 inference(scs_inference,[],[543,1258])).
% 120.75/120.87 cnf(3018,plain,
% 120.75/120.87 (~P5(f9(a8,f17(f10(a1))),a8)+P4(f17(f10(a1)),a4)+~P5(f16(a8,f17(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[7,2123,21])).
% 120.75/120.87 cnf(4357,plain,
% 120.75/120.87 (~P5(f9(a14,f3(f10(a1))),a8)+P5(f16(a8,f3(f10(a1))),a8)+~P5(f16(a8,f3(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[265,204])).
% 120.75/120.87 cnf(4370,plain,
% 120.75/120.87 (P5(f16(a8,f3(f10(a1))),a8)+~P5(f16(a8,f3(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[4357,192])).
% 120.75/120.87 cnf(31660,plain,
% 120.75/120.87 (P5(f9(a8,f3(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[150,1344,19])).
% 120.75/120.87 cnf(31662,plain,
% 120.75/120.87 (~P5(f9(a8,f3(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[150,1344,8,19,21])).
% 120.75/120.87 cnf(31664,plain,
% 120.75/120.87 (~P5(f9(a8,f19(f12(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[209,150,1344,1349,8,19,21,20])).
% 120.75/120.87 cnf(31666,plain,
% 120.75/120.87 (P3(f9(a8,f12(a1)),f9(a8,f3(f12(a1))))),
% 120.75/120.87 inference(scs_inference,[],[58,209,150,1344,1349,8,19,21,20,26])).
% 120.75/120.87 cnf(31674,plain,
% 120.75/120.87 (P3(f16(a15,f12(a1)),f16(a8,f5(f12(a1))))),
% 120.75/120.87 inference(scs_inference,[],[59,58,209,150,1344,1349,8,19,21,20,26,27,30,31,33])).
% 120.75/120.87 cnf(31676,plain,
% 120.75/120.87 (P3(f16(a2,f10(a1)),f16(a8,f3(f10(a1))))),
% 120.75/120.87 inference(scs_inference,[],[59,58,209,150,1344,1349,8,19,21,20,26,27,30,31,33,35])).
% 120.75/120.87 cnf(31680,plain,
% 120.75/120.87 (P3(f16(a8,f17(f10(a1))),f9(a14,f5(f10(a1))))),
% 120.75/120.87 inference(scs_inference,[],[59,58,209,150,1344,1349,8,19,21,20,26,27,30,31,33,35,37,38])).
% 120.75/120.87 cnf(31682,plain,
% 120.75/120.87 (P3(f16(a8,f19(f12(a1))),f9(a8,f5(f12(a1))))),
% 120.75/120.87 inference(scs_inference,[],[59,58,209,150,1344,1349,8,19,21,20,26,27,30,31,33,35,37,38,39])).
% 120.75/120.87 cnf(31684,plain,
% 120.75/120.87 (P5(f16(a8,f3(f10(a1))),a13)+~P5(f16(a8,f3(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[59,58,209,150,1344,1349,8,19,21,20,26,27,30,31,33,35,37,38,39,329])).
% 120.75/120.87 cnf(31689,plain,
% 120.75/120.87 (~P5(f16(a8,f3(f10(a1))),a8)+~P5(f16(a8,f3(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[162,160,59,58,209,150,1344,1349,8,19,21,20,26,27,30,31,33,35,37,38,39,329,43,53,1648])).
% 120.75/120.87 cnf(31691,plain,
% 120.75/120.87 (~P5(f9(a14,f3(f10(a1))),a8)+~P5(f16(a8,f3(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[1,162,160,59,58,209,150,1344,1349,8,19,21,20,26,27,30,31,33,35,37,38,39,329,43,53,1648,18,265])).
% 120.75/120.87 cnf(31695,plain,
% 120.75/120.87 (~P5(f9(a14,f3(f10(a1))),a8)+P5(f16(a8,f3(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[31660,265])).
% 120.75/120.87 cnf(31885,plain,
% 120.75/120.87 (~P5(f9(a14,f3(f10(a1))),a8)+~P5(f9(x318851,f3(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[31691,327])).
% 120.75/120.87 cnf(32013,plain,
% 120.75/120.87 (P5(f16(a8,f3(f10(a1))),a8)+~P3(f9(a14,f10(a1)),f9(a14,f3(f10(a1))))),
% 120.75/120.87 inference(scs_inference,[],[190,31695,19])).
% 120.75/120.87 cnf(51215,plain,
% 120.75/120.87 (P5(f16(a8,f3(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[1354,32013])).
% 120.75/120.87 cnf(51217,plain,
% 120.75/120.87 (P5(f9(a14,f3(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[51215,192])).
% 120.75/120.87 cnf(51219,plain,
% 120.75/120.87 (P5(f16(a8,f3(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[51215,4370])).
% 120.75/120.87 cnf(51220,plain,
% 120.75/120.87 (~P5(f16(a8,f3(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[51215,31689])).
% 120.75/120.87 cnf(51221,plain,
% 120.75/120.87 (P5(f9(a8,f17(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[51215,1590,19])).
% 120.75/120.87 cnf(51228,plain,
% 120.75/120.87 (~P5(f9(a8,f17(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[162,51215,1590,31666,209,31662,8,19,20,44,3018,21])).
% 120.75/120.87 cnf(51231,plain,
% 120.75/120.87 (~P5(f16(a8,f17(f10(a1))),a8)+~P4(f17(f10(a1)),a21)),
% 120.75/120.87 inference(scs_inference,[],[162,51215,1590,31666,209,31662,8,19,20,44,3018,21,2140,543])).
% 120.75/120.87 cnf(51232,plain,
% 120.75/120.87 (~P5(f9(x512321,f3(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[51220,327])).
% 120.75/120.87 cnf(51233,plain,
% 120.75/120.87 (~P4(f17(f10(a1)),a21)+P5(f16(a8,f17(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[51221,403])).
% 120.75/120.87 cnf(51237,plain,
% 120.75/120.87 (~P5(f16(a8,f3(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[51220,31684])).
% 120.75/120.87 cnf(51240,plain,
% 120.75/120.87 (P5(f16(a8,f3(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[51217,31695])).
% 120.75/120.87 cnf(51241,plain,
% 120.75/120.87 (~P5(f9(x512411,f3(f10(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[51217,31885])).
% 120.75/120.87 cnf(51256,plain,
% 120.75/120.87 (~P5(f16(a8,f5(f12(a1))),a13)),
% 120.75/120.87 inference(scs_inference,[],[31674,261,20])).
% 120.75/120.87 cnf(51263,plain,
% 120.75/120.87 (P4(f19(a1),a4)),
% 120.75/120.87 inference(scs_inference,[],[162,51237,51240,51232,31674,31676,261,20,19,44,645])).
% 120.75/120.87 cnf(51268,plain,
% 120.75/120.87 (P4(f17(f10(a1)),a21)),
% 120.75/120.87 inference(scs_inference,[],[162,51237,51240,51232,31674,31676,261,20,19,44,645,381,377,1980,1258])).
% 120.75/120.87 cnf(51269,plain,
% 120.75/120.87 (P4(f5(f10(a1)),a21)),
% 120.75/120.87 inference(scs_inference,[],[162,51237,51240,51232,31674,31676,261,20,19,44,645,381,377,1980,1258,1272])).
% 120.75/120.87 cnf(51270,plain,
% 120.75/120.87 (~P5(f16(a8,f17(f10(a1))),a8)),
% 120.75/120.87 inference(scs_inference,[],[162,51237,51240,51232,31674,31676,261,20,19,44,645,381,377,1980,1258,1272,51231])).
% 120.75/120.87 cnf(51276,plain,
% 120.75/120.87 (~P4(f5(f12(a1)),a4)),
% 120.75/120.87 inference(scs_inference,[],[51263,23])).
% 120.75/120.87 cnf(51277,plain,
% 120.75/120.88 (~P4(f19(f12(a1)),a4)),
% 120.75/120.88 inference(scs_inference,[],[51263,25])).
% 120.75/120.88 cnf(51291,plain,
% 120.75/120.88 (P4(f5(f12(a1)),a4)+~P5(f9(x512911,f5(f12(a1))),a13)),
% 120.75/120.88 inference(scs_inference,[],[51256,2042])).
% 120.75/120.88 cnf(51299,plain,
% 120.75/120.88 (P5(f16(a8,f17(f10(a1))),a13)),
% 120.75/120.88 inference(scs_inference,[],[51268,51233])).
% 120.75/120.88 cnf(51303,plain,
% 120.75/120.88 (~P5(f16(a8,f5(f10(a1))),a8)),
% 120.75/120.88 inference(scs_inference,[],[51269,51270,158,31680,20,48])).
% 120.75/120.88 cnf(51317,plain,
% 120.75/120.88 (P4(f19(f12(a1)),a21)),
% 120.75/120.88 inference(scs_inference,[],[51277,233])).
% 120.75/120.88 cnf(51319,plain,
% 120.75/120.88 (P4(f5(f12(a1)),a21)),
% 120.75/120.88 inference(scs_inference,[],[51276,706])).
% 120.75/120.88 cnf(51326,plain,
% 120.75/120.88 (~P5(f9(x513261,f5(f12(a1))),a13)),
% 120.75/120.88 inference(scs_inference,[],[51276,51291])).
% 120.75/120.88 cnf(51336,plain,
% 120.75/120.88 (~P5(f9(a14,f12(a1)),a8)),
% 120.75/120.88 inference(scs_inference,[],[51276,51268,162,51299,51303,51241,51219,1375,51228,31676,51291,19,20,44,43,464])).
% 120.75/120.88 cnf(51348,plain,
% 120.75/120.88 (P4(f19(f12(a1)),a21)),
% 120.75/120.88 inference(scs_inference,[],[51317,1183])).
% 120.75/120.88 cnf(51379,plain,
% 120.75/120.88 (~P5(f16(a8,f19(f12(a1))),a8)),
% 120.75/120.88 inference(scs_inference,[],[51348,51269,51268,162,51326,51232,51299,51215,51303,63,31682,31664,1361,51336,51228,20,19,44,43,50,54])).
% 120.75/120.88 cnf(51387,plain,
% 120.75/120.88 (~P5(f16(a8,f5(f12(a1))),a8)),
% 120.75/120.88 inference(scs_inference,[],[51319,51379,69,31682,20,45])).
% 120.75/120.88 cnf(51399,plain,
% 120.75/120.88 ($false),
% 120.75/120.88 inference(scs_inference,[],[51387,31674,133,19]),
% 120.75/120.88 ['proof']).
% 120.75/120.96 % SZS output end Proof
% 120.75/120.96 % Total time :120.160000s
%------------------------------------------------------------------------------