TSTP Solution File: HWV006-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : HWV006-1 : 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 : 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 121.00s 121.36s
% Output : CNFRefutation 121.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HWV006-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n019.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 15:09:12 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 121.00/121.35 %-------------------------------------------
% 121.00/121.35 % File :CSE---1.6
% 121.00/121.35 % Problem :theBenchmark
% 121.00/121.35 % Transform :cnf
% 121.00/121.35 % Format :tptp:raw
% 121.00/121.35 % Command :java -jar mcs_scs.jar %d %s
% 121.00/121.35
% 121.00/121.35 % Result :Theorem 120.420000s
% 121.00/121.35 % Output :CNFRefutation 120.420000s
% 121.00/121.35 %-------------------------------------------
% 121.00/121.36 %--------------------------------------------------------------------------
% 121.00/121.36 % File : HWV006-1 : TPTP v8.1.2. Released v2.1.0.
% 121.00/121.36 % Domain : Hardware Verification
% 121.00/121.36 % Problem : A fulladder built from two halfadders and an or gate
% 121.00/121.36 % Version : [Gei96] axioms.
% 121.00/121.36 % English :
% 121.00/121.36
% 121.00/121.36 % Refs : [Gei96] Geisler (1996), Email to G. Sutcliffe
% 121.00/121.36 % Source : [Gei96]
% 121.00/121.36 % Names :
% 121.00/121.36
% 121.00/121.36 % Status : Unsatisfiable
% 121.00/121.36 % Rating : 0.14 v8.1.0, 0.00 v7.0.0, 0.25 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, 0.20 v5.3.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.21 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, 0.12 v2.6.0, 0.33 v2.5.0, 0.40 v2.4.0, 0.20 v2.3.0, 0.33 v2.2.1, 0.33 v2.1.0
% 121.00/121.36 % Syntax : Number of clauses : 58 ( 13 unt; 3 nHn; 58 RR)
% 121.00/121.36 % Number of literals : 139 ( 0 equ; 88 neg)
% 121.00/121.36 % Maximal clause size : 5 ( 2 avg)
% 121.00/121.36 % Maximal term depth : 3 ( 1 avg)
% 121.00/121.36 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 121.00/121.36 % Number of functors : 21 ( 21 usr; 13 con; 0-2 aty)
% 121.00/121.36 % Number of variables : 52 ( 3 sgn)
% 121.00/121.36 % SPC : CNF_UNS_RFO_NEQ_NHN
% 121.00/121.36
% 121.00/121.36 % Comments :
% 121.00/121.36 %--------------------------------------------------------------------------
% 121.00/121.36 %----Include basic diagnosis axioms
% 121.00/121.36 include('Axioms/HWV001-0.ax').
% 121.00/121.36 %----Include model of halfadder
% 121.00/121.36 include('Axioms/HWV001-1.ax').
% 121.00/121.36 %----Include model of fulladder
% 121.00/121.36 include('Axioms/HWV001-2.ax').
% 121.00/121.36 %--------------------------------------------------------------------------
% 121.00/121.36 %----Observations
% 121.00/121.36 cnf(f_isa_fulladder,hypothesis,
% 121.00/121.36 type(f,fulladder) ).
% 121.00/121.36
% 121.00/121.36 cnf(in1_1,hypothesis,
% 121.00/121.36 value(in(n1,f),n1) ).
% 121.00/121.36
% 121.00/121.36 cnf(in2_0,hypothesis,
% 121.00/121.36 value(in(n2,f),n0) ).
% 121.00/121.36
% 121.00/121.36 cnf(inc_1,hypothesis,
% 121.00/121.36 value(in(c,f),n1) ).
% 121.00/121.36
% 121.00/121.36 cnf(outs_1,hypothesis,
% 121.00/121.36 value(out(s,f),n1) ).
% 121.00/121.36
% 121.00/121.36 cnf(outc_0,hypothesis,
% 121.00/121.36 value(out(c,f),n0) ).
% 121.00/121.36
% 121.00/121.36 %----Minimal diagnosis
% 121.00/121.36 cnf(diagnosis_or1_not1h2,negated_conjecture,
% 121.00/121.36 ( ~ mode(or1(f),abnormal)
% 121.00/121.36 | ~ mode(not1(h2(f)),abnormal) ) ).
% 121.00/121.36
% 121.00/121.36 cnf(diagnosis_and2,negated_conjecture,
% 121.00/121.36 ~ mode(and2(h2(f)),abnormal) ).
% 121.00/121.36
% 121.00/121.36 cnf(diagnosis_or1_and1h2,negated_conjecture,
% 121.00/121.36 ( ~ mode(or1(f),abnormal)
% 121.00/121.36 | ~ mode(and1(h2(f)),abnormal) ) ).
% 121.00/121.36
% 121.00/121.36 cnf(diagnosis_or1h1,negated_conjecture,
% 121.00/121.36 ~ mode(or1(h1(f)),abnormal) ).
% 121.00/121.36
% 121.00/121.36 cnf(diagnosis_not1h1,negated_conjecture,
% 121.00/121.36 ~ mode(not1(h1(f)),abnormal) ).
% 121.00/121.36
% 121.00/121.36 cnf(diagnosis_and2h1,negated_conjecture,
% 121.00/121.36 ~ mode(and2(h1(f)),abnormal) ).
% 121.00/121.36
% 121.00/121.36 cnf(diagnosis_and1h1,negated_conjecture,
% 121.00/121.36 ~ mode(and1(h1(f)),abnormal) ).
% 121.00/121.36
% 121.00/121.36 %--------------------------------------------------------------------------
% 121.00/121.36 %-------------------------------------------
% 121.00/121.36 % Proof found
% 121.00/121.36 % SZS status Theorem for theBenchmark
% 121.00/121.36 % SZS output start Proof
% 121.00/121.38 %ClaNum:58(EqnAxiom:0)
% 121.00/121.38 %VarNum:151(SingletonVarNum:52)
% 121.00/121.38 %MaxLitNum:5
% 121.00/121.38 %MaxfuncDepth:2
% 121.00/121.38 %SharedTerms:44
% 121.00/121.38 %goalClause: 9 10 11 12 13 26 27
% 121.00/121.38 %singleGoalClaCount:5
% 121.00/121.38 [1]P1(a1,a7)
% 121.00/121.38 [7]~P2(a13,a8)
% 121.00/121.38 [8]~P2(a8,a13)
% 121.00/121.38 [2]P5(f9(a8,a1),a8)
% 121.00/121.38 [3]P5(f9(a14,a1),a13)
% 121.00/121.38 [4]P5(f9(a2,a1),a8)
% 121.00/121.38 [5]P5(f16(a15,a1),a8)
% 121.00/121.38 [6]P5(f16(a2,a1),a13)
% 121.00/121.38 [9]~P4(f3(f10(a1)),a4)
% 121.00/121.38 [10]~P4(f6(f10(a1)),a4)
% 121.00/121.38 [11]~P4(f6(f11(a1)),a4)
% 121.00/121.38 [12]~P4(f17(f10(a1)),a4)
% 121.00/121.38 [13]~P4(f19(f10(a1)),a4)
% 121.00/121.38 [26]~P4(f19(a1),a4)+~P4(f3(f11(a1)),a4)
% 121.00/121.38 [27]~P4(f19(a1),a4)+~P4(f17(f11(a1)),a4)
% 121.00/121.38 [21]~P4(x211,a4)+~P4(x211,a21)
% 121.00/121.38 [14]~P1(x141,a12)+P1(f3(x141),a5)
% 121.00/121.38 [15]~P1(x151,a12)+P1(f6(x151),a5)
% 121.00/121.38 [16]~P1(x161,a12)+P1(f17(x161),a18)
% 121.00/121.38 [17]~P1(x171,a12)+P1(f19(x171),a20)
% 121.00/121.38 [18]~P1(x181,a7)+P1(f19(x181),a20)
% 121.00/121.38 [19]~P1(x191,a7)+P1(f10(x191),a12)
% 121.00/121.38 [20]~P1(x201,a7)+P1(f11(x201),a12)
% 121.00/121.38 [28]~P1(x281,a12)+P3(f9(a8,x281),f9(a8,f6(x281)))
% 121.00/121.38 [29]~P1(x291,a12)+P3(f9(a8,x291),f9(a8,f19(x291)))
% 121.00/121.38 [30]~P1(x301,a7)+P3(f9(a8,x301),f9(a8,f11(x301)))
% 121.00/121.38 [31]~P1(x311,a7)+P3(f9(a14,x311),f9(a8,f10(x311)))
% 121.00/121.38 [32]~P1(x321,a12)+P3(f9(a14,x321),f9(a14,f6(x321)))
% 121.00/121.38 [33]~P1(x331,a12)+P3(f9(a14,x331),f9(a14,f19(x331)))
% 121.00/121.38 [34]~P1(x341,a7)+P3(f9(a2,x341),f9(a14,f10(x341)))
% 121.00/121.38 [35]~P1(x351,a12)+P3(f16(a15,x351),f16(a8,f3(x351)))
% 121.00/121.38 [36]~P1(x361,a7)+P3(f16(a15,x361),f16(a15,f11(x361)))
% 121.00/121.38 [37]~P1(x371,a12)+P3(f16(a2,x371),f16(a8,f6(x371)))
% 121.00/121.38 [38]~P1(x381,a7)+P3(f16(a2,x381),f16(a8,f19(x381)))
% 121.00/121.38 [39]~P1(x391,a12)+P3(f16(a8,f6(x391)),f9(a8,f17(x391)))
% 121.00/121.38 [40]~P1(x401,a12)+P3(f16(a8,f17(x401)),f9(a14,f3(x401)))
% 121.00/121.38 [41]~P1(x411,a12)+P3(f16(a8,f19(x411)),f9(a8,f3(x411)))
% 121.00/121.38 [42]~P1(x421,a7)+P3(f16(a15,f10(x421)),f9(a14,f11(x421)))
% 121.00/121.38 [43]~P1(x431,a7)+P3(f16(a2,f10(x431)),f9(a14,f19(x431)))
% 121.00/121.38 [44]~P1(x441,a7)+P3(f16(a2,f11(x441)),f9(a8,f19(x441)))
% 121.00/121.38 [22]~P1(x221,x222)+P4(x221,a4)+P4(x221,a21)
% 121.00/121.38 [23]~P5(x233,x232)+P5(x231,x232)+~P3(x233,x231)
% 121.00/121.38 [24]~P5(x243,x242)+P5(x241,x242)+~P3(x241,x243)
% 121.00/121.38 [25]~P5(x253,x251)+P2(x251,x252)+~P5(x253,x252)
% 121.00/121.38 [45]~P4(x451,a21)+~P1(x451,a20)+~P5(f16(a8,x451),a13)+P5(f9(a8,x451),a13)
% 121.00/121.38 [46]~P4(x461,a21)+~P1(x461,a18)+~P5(f16(a8,x461),a8)+P5(f9(a8,x461),a13)
% 121.00/121.38 [47]~P4(x471,a21)+~P1(x471,a5)+~P5(f16(a8,x471),a8)+P5(f9(a8,x471),a8)
% 121.00/121.38 [48]~P4(x481,a21)+~P1(x481,a18)+~P5(f16(a8,x481),a13)+P5(f9(a8,x481),a8)
% 121.00/121.38 [49]~P4(x491,a21)+~P1(x491,a20)+~P5(f16(a8,x491),a13)+P5(f9(a14,x491),a13)
% 121.00/121.38 [50]~P4(x501,a21)+~P1(x501,a5)+~P5(f16(a8,x501),a8)+P5(f9(a14,x501),a8)
% 121.00/121.38 [51]~P4(x511,a21)+~P1(x511,a18)+~P5(f9(a8,x511),a8)+P5(f16(a8,x511),a13)
% 121.00/121.38 [52]~P4(x521,a21)+~P1(x521,a18)+~P5(f9(a8,x521),a13)+P5(f16(a8,x521),a8)
% 121.00/121.38 [53]~P4(x531,a21)+~P1(x531,a5)+~P5(f9(x532,x531),a13)+P5(f16(a8,x531),a13)
% 121.00/121.38 [54]~P4(x541,a21)+~P1(x541,a20)+~P5(f9(x542,x541),a8)+P5(f16(a8,x541),a8)
% 121.00/121.38 [55]~P4(x551,a21)+~P1(x551,a5)+P5(f9(a14,x551),a13)+~P5(f16(a8,x551),a13)+P5(f9(a8,x551),a13)
% 121.00/121.38 [56]~P4(x561,a21)+~P1(x561,a20)+P5(f9(a14,x561),a8)+~P5(f16(a8,x561),a8)+P5(f9(a8,x561),a8)
% 121.00/121.38 [57]~P4(x571,a21)+~P1(x571,a20)+~P5(f9(a8,x571),a13)+~P5(f9(a14,x571),a13)+P5(f16(a8,x571),a13)
% 121.00/121.38 [58]~P4(x581,a21)+~P1(x581,a5)+~P5(f9(a8,x581),a8)+~P5(f9(a14,x581),a8)+P5(f16(a8,x581),a8)
% 121.00/121.38 %EqnAxiom
% 121.00/121.38
% 121.00/121.38 %-------------------------------------------
% 121.16/121.45 cnf(60,plain,
% 121.16/121.45 (P1(f11(a1),a12)),
% 121.16/121.45 inference(scs_inference,[],[1,2,25,20])).
% 121.16/121.45 cnf(61,plain,
% 121.16/121.45 (P1(f10(a1),a12)),
% 121.16/121.45 inference(scs_inference,[],[1,2,25,20,19])).
% 121.16/121.45 cnf(63,plain,
% 121.16/121.45 (P1(f19(a1),a20)),
% 121.16/121.45 inference(scs_inference,[],[1,2,25,20,19,18])).
% 121.16/121.45 cnf(67,plain,
% 121.16/121.45 (P1(f17(f11(a1)),a18)),
% 121.16/121.45 inference(scs_inference,[],[1,2,25,20,19,18,17,16])).
% 121.16/121.45 cnf(69,plain,
% 121.16/121.45 (P1(f6(f11(a1)),a5)),
% 121.16/121.45 inference(scs_inference,[],[1,2,25,20,19,18,17,16,15])).
% 121.16/121.45 cnf(71,plain,
% 121.16/121.45 (P1(f3(f11(a1)),a5)),
% 121.16/121.45 inference(scs_inference,[],[1,2,25,20,19,18,17,16,15,14])).
% 121.16/121.45 cnf(73,plain,
% 121.16/121.45 (P3(f16(a2,f11(a1)),f9(a8,f19(a1)))),
% 121.16/121.45 inference(scs_inference,[],[1,2,25,20,19,18,17,16,15,14,44])).
% 121.16/121.45 cnf(77,plain,
% 121.16/121.45 (P3(f16(a15,f10(a1)),f9(a14,f11(a1)))),
% 121.16/121.45 inference(scs_inference,[],[1,2,25,20,19,18,17,16,15,14,44,43,42])).
% 121.16/121.45 cnf(79,plain,
% 121.16/121.45 (P3(f16(a2,a1),f16(a8,f19(a1)))),
% 121.16/121.45 inference(scs_inference,[],[1,2,25,20,19,18,17,16,15,14,44,43,42,38])).
% 121.16/121.45 cnf(81,plain,
% 121.16/121.45 (P3(f16(a15,a1),f16(a15,f11(a1)))),
% 121.16/121.45 inference(scs_inference,[],[1,2,25,20,19,18,17,16,15,14,44,43,42,38,36])).
% 121.16/121.45 cnf(83,plain,
% 121.16/121.45 (P3(f9(a2,a1),f9(a14,f10(a1)))),
% 121.16/121.45 inference(scs_inference,[],[1,2,25,20,19,18,17,16,15,14,44,43,42,38,36,34])).
% 121.16/121.45 cnf(85,plain,
% 121.16/121.45 (P3(f9(a14,a1),f9(a8,f10(a1)))),
% 121.16/121.45 inference(scs_inference,[],[1,2,25,20,19,18,17,16,15,14,44,43,42,38,36,34,31])).
% 121.16/121.45 cnf(91,plain,
% 121.16/121.45 (P5(f9(a8,f11(a1)),a8)),
% 121.16/121.45 inference(scs_inference,[],[1,2,25,20,19,18,17,16,15,14,44,43,42,38,36,34,31,30,24,23])).
% 121.16/121.45 cnf(103,plain,
% 121.16/121.45 (~P5(f9(a14,a1),a8)),
% 121.16/121.45 inference(scs_inference,[],[7,3,25])).
% 121.16/121.45 cnf(105,plain,
% 121.16/121.45 (~P5(f9(a8,f10(a1)),a8)),
% 121.16/121.45 inference(scs_inference,[],[7,3,85,25,24])).
% 121.16/121.45 cnf(109,plain,
% 121.16/121.45 (~P1(f3(f10(a1)),x1091)+P4(f3(f10(a1)),a21)),
% 121.16/121.45 inference(scs_inference,[],[9,7,3,4,85,25,24,23,22])).
% 121.16/121.45 cnf(119,plain,
% 121.16/121.45 (~P5(f16(a2,a1),a8)),
% 121.16/121.45 inference(scs_inference,[],[8,6,25])).
% 121.16/121.45 cnf(121,plain,
% 121.16/121.45 (~P5(f16(a8,f19(a1)),a8)),
% 121.16/121.45 inference(scs_inference,[],[8,6,79,25,24])).
% 121.16/121.45 cnf(123,plain,
% 121.16/121.45 (P5(f16(a8,f19(a1)),a13)),
% 121.16/121.45 inference(scs_inference,[],[8,6,79,25,24,23])).
% 121.16/121.45 cnf(131,plain,
% 121.16/121.45 (~P4(f19(a1),a21)+P5(f9(a8,f19(a1)),a13)),
% 121.16/121.45 inference(scs_inference,[],[8,6,79,63,25,24,23,54,49,48,45])).
% 121.16/121.45 cnf(146,plain,
% 121.16/121.45 (~P5(f9(a2,a1),a13)),
% 121.16/121.45 inference(scs_inference,[],[8,4,25])).
% 121.16/121.45 cnf(152,plain,
% 121.16/121.45 (~P4(f3(f11(a1)),a21)+~P5(f16(a8,f3(f11(a1))),a8)+P5(f9(a14,f3(f11(a1))),a8)),
% 121.16/121.45 inference(scs_inference,[],[8,4,121,71,119,25,24,23,50])).
% 121.16/121.45 cnf(158,plain,
% 121.16/121.45 (P1(f19(f10(a1)),a20)),
% 121.16/121.45 inference(scs_inference,[],[61,8,4,121,67,71,119,25,24,23,50,47,46,17])).
% 121.16/121.45 cnf(160,plain,
% 121.16/121.45 (P1(f17(f10(a1)),a18)),
% 121.16/121.45 inference(scs_inference,[],[61,8,4,121,67,71,119,25,24,23,50,47,46,17,16])).
% 121.16/121.45 cnf(162,plain,
% 121.16/121.45 (P1(f6(f10(a1)),a5)),
% 121.16/121.45 inference(scs_inference,[],[61,8,4,121,67,71,119,25,24,23,50,47,46,17,16,15])).
% 121.16/121.45 cnf(164,plain,
% 121.16/121.45 (P1(f3(f10(a1)),a5)),
% 121.16/121.45 inference(scs_inference,[],[61,8,4,121,67,71,119,25,24,23,50,47,46,17,16,15,14])).
% 121.16/121.45 cnf(168,plain,
% 121.16/121.45 (P4(f3(f10(a1)),a21)),
% 121.16/121.45 inference(scs_inference,[],[164,109])).
% 121.16/121.45 cnf(169,plain,
% 121.16/121.45 (P4(f19(f10(a1)),a21)),
% 121.16/121.45 inference(scs_inference,[],[13,158,22])).
% 121.16/121.45 cnf(175,plain,
% 121.16/121.45 (P5(f16(a15,f11(a1)),a8)),
% 121.16/121.45 inference(scs_inference,[],[13,7,5,81,158,22,25,24,23])).
% 121.16/121.45 cnf(189,plain,
% 121.16/121.45 (P4(f17(f10(a1)),a21)),
% 121.16/121.45 inference(scs_inference,[],[12,160,22])).
% 121.16/121.45 cnf(213,plain,
% 121.16/121.45 (~P5(f9(a8,a1),a13)),
% 121.16/121.45 inference(scs_inference,[],[8,2,25])).
% 121.16/121.45 cnf(215,plain,
% 121.16/121.45 (~P5(f9(a14,f10(a1)),a13)),
% 121.16/121.45 inference(scs_inference,[],[8,2,83,146,25,24])).
% 121.16/121.45 cnf(228,plain,
% 121.16/121.45 (P4(f6(f11(a1)),a21)),
% 121.16/121.45 inference(scs_inference,[],[11,69,22])).
% 121.16/121.45 cnf(249,plain,
% 121.16/121.45 (P4(f6(f10(a1)),a21)),
% 121.16/121.45 inference(scs_inference,[],[3,213,10,162,169,158,23,54,22])).
% 121.16/121.45 cnf(264,plain,
% 121.16/121.45 (~P5(f9(a8,f19(a1)),x2641)+P5(f16(a2,f11(a1)),x2641)),
% 121.16/121.45 inference(scs_inference,[],[6,73,213,23,24])).
% 121.16/121.45 cnf(278,plain,
% 121.16/121.45 (P5(f9(a8,f10(a1)),a13)),
% 121.16/121.45 inference(scs_inference,[],[5,3,119,85,24,23])).
% 121.16/121.45 cnf(499,plain,
% 121.16/121.45 (P4(f17(f11(a1)),a4)+~P5(f16(a8,f17(f11(a1))),a8)+P5(f9(a8,f17(f11(a1))),a13)),
% 121.16/121.45 inference(scs_inference,[],[67,175,103,24,23,22,51,46])).
% 121.16/121.45 cnf(664,plain,
% 121.16/121.45 (P4(f3(f11(a1)),a21)+P4(f3(f11(a1)),a4)),
% 121.16/121.45 inference(scs_inference,[],[71,105,91,24,22])).
% 121.16/121.45 cnf(797,plain,
% 121.16/121.45 (P4(f19(a1),a21)+P4(f19(a1),a4)),
% 121.16/121.45 inference(scs_inference,[],[146,123,63,23,22])).
% 121.16/121.45 cnf(799,plain,
% 121.16/121.45 (P4(f19(a1),a4)+P5(f9(a8,f19(a1)),a13)),
% 121.16/121.45 inference(scs_inference,[],[146,123,63,23,22,45])).
% 121.16/121.45 cnf(1124,plain,
% 121.16/121.45 (P4(f19(a1),a21)+~P4(f3(f11(a1)),a4)),
% 121.16/121.45 inference(scs_inference,[],[797,26])).
% 121.16/121.45 cnf(1489,plain,
% 121.16/121.45 (~P4(f19(a1),a21)+P5(f16(a2,f11(a1)),a13)),
% 121.16/121.45 inference(scs_inference,[],[131,264])).
% 121.16/121.45 cnf(1971,plain,
% 121.16/121.45 (P4(f19(a1),a4)+P5(f16(a2,f11(a1)),a13)),
% 121.16/121.45 inference(scs_inference,[],[799,264])).
% 121.16/121.45 cnf(2107,plain,
% 121.16/121.45 (P5(f16(a2,f11(a1)),a13)+~P4(f3(f11(a1)),a4)),
% 121.16/121.45 inference(scs_inference,[],[1489,1124])).
% 121.16/121.45 cnf(2490,plain,
% 121.16/121.45 (P5(f16(a2,f11(a1)),a13)+~P4(f17(f11(a1)),a4)),
% 121.16/121.45 inference(scs_inference,[],[1971,27])).
% 121.16/121.45 cnf(2613,plain,
% 121.16/121.45 (P3(f9(a8,f10(a1)),f9(a8,f6(f10(a1))))),
% 121.16/121.45 inference(scs_inference,[],[1,28,19])).
% 121.16/121.45 cnf(2991,plain,
% 121.16/121.45 (P3(f9(a14,f11(a1)),f9(a14,f19(f11(a1))))),
% 121.16/121.45 inference(scs_inference,[],[1,33,20])).
% 121.16/121.45 cnf(3112,plain,
% 121.16/121.45 (P3(f16(a15,f10(a1)),f16(a8,f3(f10(a1))))),
% 121.16/121.45 inference(scs_inference,[],[1,35,19])).
% 121.16/121.45 cnf(3230,plain,
% 121.16/121.45 (P3(f16(a2,f11(a1)),f16(a8,f6(f11(a1))))),
% 121.16/121.45 inference(scs_inference,[],[1,37,20])).
% 121.16/121.45 cnf(3957,plain,
% 121.16/121.45 (P3(f16(a8,f6(f10(a1))),f9(a8,f17(f10(a1))))),
% 121.16/121.45 inference(scs_inference,[],[1,39,19])).
% 121.16/121.45 cnf(4077,plain,
% 121.16/121.45 (P3(f16(a8,f17(f11(a1))),f9(a14,f3(f11(a1))))),
% 121.16/121.45 inference(scs_inference,[],[1,40,20])).
% 121.16/121.45 cnf(4135,plain,
% 121.16/121.45 (P3(f16(a8,f19(f10(a1))),f9(a8,f3(f10(a1))))),
% 121.16/121.45 inference(scs_inference,[],[1,41,19])).
% 121.16/121.45 cnf(28412,plain,
% 121.16/121.45 (P3(f9(a8,f11(a1)),f9(a8,f6(f11(a1))))),
% 121.16/121.45 inference(scs_inference,[],[60,28])).
% 121.16/121.45 cnf(28414,plain,
% 121.16/121.45 (P3(f9(a8,f10(a1)),f9(a8,f19(f10(a1))))),
% 121.16/121.46 inference(scs_inference,[],[61,60,28,29])).
% 121.16/121.46 cnf(28416,plain,
% 121.16/121.46 (P3(f9(a14,f11(a1)),f9(a14,f6(f11(a1))))),
% 121.16/121.46 inference(scs_inference,[],[61,60,28,29,32])).
% 121.16/121.46 cnf(28418,plain,
% 121.16/121.46 (P3(f9(a14,f10(a1)),f9(a14,f19(f10(a1))))),
% 121.16/121.46 inference(scs_inference,[],[61,60,28,29,32,33])).
% 121.16/121.46 cnf(28420,plain,
% 121.16/121.46 (P3(f16(a15,f11(a1)),f16(a8,f3(f11(a1))))),
% 121.16/121.46 inference(scs_inference,[],[61,60,28,29,32,33,35])).
% 121.16/121.46 cnf(28422,plain,
% 121.16/121.46 (P3(f16(a2,f10(a1)),f16(a8,f6(f10(a1))))),
% 121.16/121.46 inference(scs_inference,[],[61,60,28,29,32,33,35,37])).
% 121.16/121.46 cnf(28424,plain,
% 121.16/121.46 (P3(f16(a8,f6(f11(a1))),f9(a8,f17(f11(a1))))),
% 121.16/121.46 inference(scs_inference,[],[61,60,28,29,32,33,35,37,39])).
% 121.16/121.46 cnf(28426,plain,
% 121.16/121.46 (P3(f16(a8,f17(f10(a1))),f9(a14,f3(f10(a1))))),
% 121.16/121.46 inference(scs_inference,[],[61,60,28,29,32,33,35,37,39,40])).
% 121.16/121.46 cnf(28434,plain,
% 121.16/121.46 (~P5(f16(a8,f6(f10(a1))),a8)),
% 121.16/121.46 inference(scs_inference,[],[249,162,61,60,105,213,123,2613,28,29,32,33,35,37,39,40,41,24,23,47])).
% 121.16/121.46 cnf(44629,plain,
% 121.16/121.46 (P5(f9(a8,f6(f11(a1))),a8)),
% 121.16/121.46 inference(scs_inference,[],[28412,91,23])).
% 121.16/121.46 cnf(44633,plain,
% 121.16/121.46 (~P5(f16(a8,f17(f10(a1))),a13)),
% 121.16/121.46 inference(scs_inference,[],[189,160,28434,3957,28412,91,23,24,48])).
% 121.16/121.46 cnf(44635,plain,
% 121.16/121.46 (~P5(f9(a8,f6(f11(a1))),a13)),
% 121.16/121.46 inference(scs_inference,[],[189,160,28434,3957,28412,91,8,23,24,48,25])).
% 121.16/121.46 cnf(44645,plain,
% 121.16/121.46 (P5(f9(a8,f19(f10(a1))),a13)),
% 121.16/121.46 inference(scs_inference,[],[28414,278,23])).
% 121.16/121.46 cnf(44649,plain,
% 121.16/121.46 (~P5(f16(a8,f19(f10(a1))),a13)),
% 121.16/121.46 inference(scs_inference,[],[169,158,28414,28418,215,278,23,24,49])).
% 121.16/121.46 cnf(44661,plain,
% 121.16/121.46 (P5(f16(a8,f3(f11(a1))),a8)),
% 121.16/121.46 inference(scs_inference,[],[28420,175,23])).
% 121.16/121.46 cnf(44663,plain,
% 121.16/121.46 (~P5(f9(a8,f3(f10(a1))),a13)),
% 121.16/121.46 inference(scs_inference,[],[44649,4135,28420,175,23,24])).
% 121.16/121.46 cnf(44672,plain,
% 121.16/121.46 (~P4(f3(f11(a1)),a21)+P5(f9(a14,f3(f11(a1))),a8)),
% 121.16/121.46 inference(scs_inference,[],[44661,152])).
% 121.16/121.46 cnf(44691,plain,
% 121.16/121.46 (~P5(f16(a8,f3(f10(a1))),a13)),
% 121.16/121.46 inference(scs_inference,[],[168,169,44633,44649,164,28434,28422,28426,44663,44645,23,24,53,55])).
% 121.16/121.46 cnf(44702,plain,
% 121.16/121.46 (~P5(f9(a14,f11(a1)),a13)),
% 121.16/121.46 inference(scs_inference,[],[44691,3112,77,23,24])).
% 121.16/121.46 cnf(44709,plain,
% 121.16/121.46 (~P5(f16(a2,f11(a1)),x447091)+P5(f16(a8,f6(f11(a1))),x447091)),
% 121.16/121.46 inference(scs_inference,[],[2991,3230,44702,24,23])).
% 121.16/121.46 cnf(44720,plain,
% 121.16/121.46 (~P5(f16(a8,f6(f11(a1))),a13)),
% 121.16/121.46 inference(scs_inference,[],[228,69,28416,44702,44635,24,55])).
% 121.16/121.46 cnf(44728,plain,
% 121.16/121.46 (~P5(f16(a2,f11(a1)),a13)),
% 121.16/121.46 inference(scs_inference,[],[228,69,4077,28416,44702,44635,44629,24,55,23,53,51,44709])).
% 121.16/121.46 cnf(44737,plain,
% 121.16/121.46 (~P4(f3(f11(a1)),a4)),
% 121.16/121.46 inference(scs_inference,[],[44728,2107])).
% 121.16/121.46 cnf(44738,plain,
% 121.16/121.46 (~P4(f17(f11(a1)),a4)),
% 121.16/121.46 inference(scs_inference,[],[44728,2490])).
% 121.16/121.46 cnf(44739,plain,
% 121.16/121.46 (~P5(f9(a8,f17(f11(a1))),a13)),
% 121.16/121.46 inference(scs_inference,[],[44720,28424,24])).
% 121.16/121.46 cnf(44754,plain,
% 121.16/121.46 (~P5(f16(a8,f17(f11(a1))),a8)),
% 121.16/121.46 inference(scs_inference,[],[44738,44739,499])).
% 121.16/121.46 cnf(44755,plain,
% 121.16/121.46 (P4(f3(f11(a1)),a21)),
% 121.16/121.46 inference(scs_inference,[],[44737,664])).
% 121.16/121.46 cnf(44786,plain,
% 121.16/121.46 (P5(f9(a14,f3(f11(a1))),a8)),
% 121.16/121.46 inference(scs_inference,[],[44755,44672])).
% 121.16/121.46 cnf(44806,plain,
% 121.16/121.46 ($false),
% 121.16/121.46 inference(scs_inference,[],[44754,44786,4077,24]),
% 121.16/121.46 ['proof']).
% 121.23/121.51 % SZS output end Proof
% 121.23/121.51 % Total time :120.420000s
%------------------------------------------------------------------------------